The goal of lnmCluster is to cluster microbiome count data, or perform biclustering that simultanously clustering observations and taxa.
You can install the released version of lnmCluster from CRAN with:
install.packages("lnmCluster")This is a basic example which shows you how to solve a common problem:
library(lnmCluster)
## basic example code
#generate toy data with n=100, K=5,
#set up parameters
n<-100
p<-5
mu1<-c(-2.8,-1.3,-1.6,-3.9,-2.6)
B1<-matrix(c(1,0,1,0,1,0,0,1,0,1),nrow = p, byrow=TRUE)
T1<-diag(c(2.9,0.5))
D1<-diag(c(0.52, 1.53, 0.56, 0.19, 1.32))
cov1<-B1%*%T1%*%t(B1)+D1
mu2<-c(1.5,-2.7,-1.1,-0.4,-1.4)
B2<-matrix(c(1,0,1,0,0,1,0,1,0,1),nrow = p, byrow=TRUE)
T2<-diag(c(0.2,0.003))
D2<-diag(c(0.01, 0.62, 0.45, 0.01, 0.37))
cov2<-B2%*%T2%*%t(B2)+D2
#generate normal distribution
library(mvtnorm)
#> Warning: package 'mvtnorm' was built under R version 4.5.2
simp<-rmultinom(n,1,c(0.6,0.4))
lab<-as.factor(apply(t(simp),1,which.max))
df<-matrix(0,nrow=n,ncol=p)
for (i in 1:n) {
if(lab[i]==1){df[i,]<-rmvnorm(1,mu1,sigma = cov1)}
else if(lab[i]==2){df[i,]<-rmvnorm(1,mu2,sigma = cov2)}
}
#apply inverse of additive log ratio and transform normal to count data
f_df<-cbind(df,0)
z<-exp(f_df)/rowSums(exp(f_df))
W_count<-matrix(0,nrow=n,ncol=p+1)
for (i in 1:n) {
W_count[i,]<-rmultinom(1,runif(1,10000,20000),z[i,])
}
#for Logistic normal multinomial bicluster mixture model (LNM-BMM)
lnmbiclust(W_count, range_G=2, range_Q = c(2:3), model="GUU",criteria = "BIC")
#> Best model GUU G = 2 Q= 33
#> $best_model
#> $best_model$z_ig
#> [,1] [,2]
#> [1,] 2.346292e-11 1.000000e+00
#> [2,] 6.282247e-08 9.999999e-01
#> [3,] 1.000000e+00 2.058538e-150
#> [4,] 3.119361e-08 1.000000e+00
#> [5,] 2.058434e-09 1.000000e+00
#> [6,] 1.000000e+00 1.377206e-169
#> [7,] 1.000000e+00 9.610490e-155
#> [8,] 1.000000e+00 2.657811e-139
#> [9,] 1.000000e+00 3.646854e-121
#> [10,] 2.215909e-10 1.000000e+00
#> [11,] 1.000000e+00 6.102691e-208
#> [12,] 1.000000e+00 1.131585e-216
#> [13,] 1.000000e+00 1.699165e-170
#> [14,] 7.548693e-12 1.000000e+00
#> [15,] 1.796601e-08 1.000000e+00
#> [16,] 1.000000e+00 1.128075e-67
#> [17,] 1.000000e+00 1.509443e-147
#> [18,] 1.000000e+00 4.315632e-117
#> [19,] 2.522937e-11 1.000000e+00
#> [20,] 2.452633e-09 1.000000e+00
#> [21,] 2.646343e-11 1.000000e+00
#> [22,] 2.600531e-10 1.000000e+00
#> [23,] 1.000000e+00 3.888815e-212
#> [24,] 1.000000e+00 7.321673e-251
#> [25,] 1.000000e+00 4.846402e-171
#> [26,] 1.000000e+00 4.418556e-159
#> [27,] 6.468417e-12 1.000000e+00
#> [28,] 1.000000e+00 6.116696e-270
#> [29,] 3.558954e-12 1.000000e+00
#> [30,] 1.112650e-12 1.000000e+00
#> [31,] 3.455204e-10 1.000000e+00
#> [32,] 7.960142e-11 1.000000e+00
#> [33,] 1.000000e+00 6.179399e-192
#> [34,] 1.451346e-10 1.000000e+00
#> [35,] 8.374028e-12 1.000000e+00
#> [36,] 8.004622e-11 1.000000e+00
#> [37,] 1.000000e+00 1.360395e-91
#> [38,] 1.000000e+00 1.295764e-176
#> [39,] 1.000000e+00 1.454039e-168
#> [40,] 2.062631e-09 1.000000e+00
#> [41,] 1.000000e+00 1.312430e-136
#> [42,] 1.000000e+00 6.611847e-230
#> [43,] 1.000000e+00 1.157349e-188
#> [44,] 5.443968e-11 1.000000e+00
#> [45,] 1.000000e+00 3.621723e-205
#> [46,] 1.000000e+00 1.073115e-156
#> [47,] 5.762581e-11 1.000000e+00
#> [48,] 1.000000e+00 3.413277e-130
#> [49,] 1.000000e+00 4.385773e-128
#> [50,] 3.791841e-10 1.000000e+00
#> [51,] 1.000000e+00 7.332319e-169
#> [52,] 6.282429e-12 1.000000e+00
#> [53,] 1.000000e+00 6.068707e-166
#> [54,] 1.000000e+00 3.346398e-199
#> [55,] 1.000000e+00 8.747135e-195
#> [56,] 3.607100e-12 1.000000e+00
#> [57,] 3.670120e-12 1.000000e+00
#> [58,] 1.000000e+00 2.435308e-67
#> [59,] 9.632512e-11 1.000000e+00
#> [60,] 1.000000e+00 6.764577e-130
#> [61,] 4.878257e-13 1.000000e+00
#> [62,] 1.000000e+00 2.061539e-178
#> [63,] 1.000000e+00 1.124872e-70
#> [64,] 1.148123e-10 1.000000e+00
#> [65,] 1.000000e+00 1.159670e-106
#> [66,] 1.000000e+00 5.231239e-280
#> [67,] 1.000000e+00 2.444900e-216
#> [68,] 2.846967e-10 1.000000e+00
#> [69,] 1.619600e-09 1.000000e+00
#> [70,] 1.000000e+00 7.426792e-144
#> [71,] 2.956201e-09 1.000000e+00
#> [72,] 1.000000e+00 7.627614e-107
#> [73,] 1.000000e+00 1.388631e-193
#> [74,] 1.000000e+00 9.985620e-293
#> [75,] 1.000000e+00 9.025065e-251
#> [76,] 1.562629e-10 1.000000e+00
#> [77,] 1.000000e+00 1.394375e-289
#> [78,] 1.000000e+00 1.239757e-235
#> [79,] 1.584973e-09 1.000000e+00
#> [80,] 1.000000e+00 9.604406e-105
#> [81,] 1.000000e+00 1.419831e-206
#> [82,] 1.600001e-10 1.000000e+00
#> [83,] 1.000000e+00 1.366650e-184
#> [84,] 1.000000e+00 1.189085e-79
#> [85,] 2.102202e-12 1.000000e+00
#> [86,] 4.376196e-12 1.000000e+00
#> [87,] 4.866034e-10 1.000000e+00
#> [88,] 1.099795e-11 1.000000e+00
#> [89,] 9.576660e-09 1.000000e+00
#> [90,] 7.989126e-11 1.000000e+00
#> [91,] 3.726827e-10 1.000000e+00
#> [92,] 3.032427e-10 1.000000e+00
#> [93,] 1.000000e+00 9.647933e-63
#> [94,] 1.000000e+00 4.401909e-222
#> [95,] 3.949680e-11 1.000000e+00
#> [96,] 1.000000e+00 7.158648e-99
#> [97,] 1.000000e+00 3.922472e-135
#> [98,] 1.000000e+00 2.379257e-100
#> [99,] 1.000000e+00 7.506145e-100
#> [100,] 1.000000e+00 1.353893e-63
#>
#> $best_model$cluster
#> [1] 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 2 1
#> [38] 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 2 1 2 1 1 1
#> [75] 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1
#>
#> $best_model$mu_g
#> $best_model$mu_g[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,29] [,30] [,31] [,32] [,33] [,34] [,35]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,36] [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,57] [,58] [,59] [,60] [,61] [,62] [,63]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,64] [,65] [,66] [,67] [,68] [,69] [,70]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,78] [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,85] [,86] [,87] [,88] [,89] [,90] [,91]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,92] [,93] [,94] [,95] [,96] [,97] [,98]
#> [1,] -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636 -3.093636
#> [2,] -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753 -1.741753
#> [3,] -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499 -1.683499
#> [4,] -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447 -3.759447
#> [5,] -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090 -2.555090
#> [,99] [,100]
#> [1,] -3.093636 -3.093636
#> [2,] -1.741753 -1.741753
#> [3,] -1.683499 -1.683499
#> [4,] -3.759447 -3.759447
#> [5,] -2.555090 -2.555090
#>
#> $best_model$mu_g[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,7] [,8] [,9] [,10] [,11] [,12]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,13] [,14] [,15] [,16] [,17] [,18]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,25] [,26] [,27] [,28] [,29] [,30]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,31] [,32] [,33] [,34] [,35] [,36]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,43] [,44] [,45] [,46] [,47] [,48]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,49] [,50] [,51] [,52] [,53] [,54]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,55] [,56] [,57] [,58] [,59] [,60]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,61] [,62] [,63] [,64] [,65] [,66]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,67] [,68] [,69] [,70] [,71] [,72]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,73] [,74] [,75] [,76] [,77] [,78]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,85] [,86] [,87] [,88] [,89] [,90]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,91] [,92] [,93] [,94] [,95] [,96]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240 -1.3731240
#> [,97] [,98] [,99] [,100]
#> [1,] 1.5492576 1.5492576 1.5492576 1.5492576
#> [2,] -2.6417215 -2.6417215 -2.6417215 -2.6417215
#> [3,] -1.1664200 -1.1664200 -1.1664200 -1.1664200
#> [4,] -0.4175862 -0.4175862 -0.4175862 -0.4175862
#> [5,] -1.3731240 -1.3731240 -1.3731240 -1.3731240
#>
#>
#> $best_model$pi_g
#> [1] 0.56 0.44
#>
#> $best_model$B_g
#> $best_model$B_g[[1]]
#> [,1] [,2] [,3]
#> 1 1 0 0
#> 2 1 0 0
#> 3 1 0 0
#> 4 0 0 1
#> 5 0 0 1
#>
#> $best_model$B_g[[2]]
#> [,1] [,2] [,3]
#> 1 1 0 0
#> 2 1 0 0
#> 3 1 0 0
#> 4 0 0 1
#> 5 0 0 1
#>
#>
#> $best_model$T_g
#> $best_model$T_g[[1]]
#> [,1] [,2] [,3]
#> [1,] 4.324268 0.000000 0.0000000
#> [2,] 0.000000 4.565118 0.0000000
#> [3,] 0.000000 0.000000 0.4241664
#>
#> $best_model$T_g[[2]]
#> [,1] [,2] [,3]
#> [1,] 0.05617916 0.00000000 0.0000000000
#> [2,] 0.00000000 0.09943324 0.0000000000
#> [3,] 0.00000000 0.00000000 0.0008258051
#>
#>
#> $best_model$D_g
#> $best_model$D_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.612282 0.000000 0.0000000 0.0000000 0.000000
#> [2,] 0.000000 1.266749 0.0000000 0.0000000 0.000000
#> [3,] 0.000000 0.000000 0.4925185 0.0000000 0.000000
#> [4,] 0.000000 0.000000 0.0000000 0.2548744 0.000000
#> [5,] 0.000000 0.000000 0.0000000 0.0000000 1.197825
#>
#> $best_model$D_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.161736 0.0000000 0.0000000 0.00000000 0.0000000
#> [2,] 0.000000 0.4598897 0.0000000 0.00000000 0.0000000
#> [3,] 0.000000 0.0000000 0.3798805 0.00000000 0.0000000
#> [4,] 0.000000 0.0000000 0.0000000 0.01170746 0.0000000
#> [5,] 0.000000 0.0000000 0.0000000 0.00000000 0.4717137
#>
#>
#> $best_model$COV
#> $best_model$COV[[1]]
#> 1 2 3 4 5
#> 1 4.936550 4.324268 4.324268 0.0000000 0.0000000
#> 2 4.324268 5.591016 4.324268 0.0000000 0.0000000
#> 3 4.324268 4.324268 4.816786 0.0000000 0.0000000
#> 4 0.000000 0.000000 0.000000 0.6790407 0.4241664
#> 5 0.000000 0.000000 0.000000 0.4241664 1.6219913
#>
#> $best_model$COV[[2]]
#> 1 2 3 4 5
#> 1 0.21791515 0.05617916 0.05617916 0.0000000000 0.0000000000
#> 2 0.05617916 0.51606888 0.05617916 0.0000000000 0.0000000000
#> 3 0.05617916 0.05617916 0.43605964 0.0000000000 0.0000000000
#> 4 0.00000000 0.00000000 0.00000000 0.0125332681 0.0008258051
#> 5 0.00000000 0.00000000 0.00000000 0.0008258051 0.4725394571
#>
#>
#> $best_model$beta_g
#> $best_model$beta_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -3.093636 -1.741753 -1.683499 -3.759447 -2.55509
#>
#> $best_model$beta_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 1.549258 -2.641721 -1.16642 -0.4175862 -1.373124
#>
#>
#> $best_model$Sigma_g
#> $best_model$Sigma_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 4.9837794 4.0038049 4.4828585 -0.2382525 -0.6129037
#> [2,] 4.0038049 4.9699143 4.1080976 -0.1689424 -0.2446030
#> [3,] 4.4828585 4.1080976 5.0265949 -0.1818390 -0.1633716
#> [4,] -0.2382525 -0.1689424 -0.1818390 0.6496205 0.5227455
#> [5,] -0.6129037 -0.2446030 -0.1633716 0.5227455 1.7603113
#>
#> $best_model$Sigma_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.22530895 0.099909099 0.042194604 -0.0163226287 -0.1174788284
#> [2,] 0.09990910 0.512496020 -0.055931410 -0.0040632725 -0.1861161610
#> [3,] 0.04219460 -0.055931410 0.407504873 -0.0082524856 -0.0127850606
#> [4,] -0.01632263 -0.004063273 -0.008252486 0.0124111982 0.0002608523
#> [5,] -0.11747883 -0.186116161 -0.012785061 0.0002608523 0.4724558478
#>
#>
#> $best_model$overall_loglik
#> [1] -Inf -4961.439 -4227.036 -4040.003 -3933.985 -3905.120 -3894.540
#> [8] -3890.267 -3888.241 -3887.169 -3886.554 -3886.167 -3885.902 -3885.705
#> [15] -3885.550 -3885.424 -3885.319 -3885.231 -3885.156 -3885.092 -3885.037
#> [22] -3884.989 -3884.947 -3884.910 -3884.876 -3884.846 -3884.818 -3884.792
#> [29] -3884.767 -3884.745 -3884.723 -3884.703 -3884.684 -3884.667 -3884.650
#> [36] -3884.635 -3884.621 -3884.607 -3884.594 -3884.582 -3884.571 -3884.560
#> [43] -3884.550 -3884.540 -3884.531 -3884.522 -3884.316 -3865.645 -3854.968
#> [50] -3852.583 -3851.995 -3851.757 -3851.636 -3851.568 -3851.525 -3851.492
#> [57] -3851.462 -3851.433 -3851.403 -3851.370 -3851.333 -3851.294 -3851.252
#> [64] -3851.206 -3851.158 -3851.107 -3819.468 -3817.542 -3815.700 -3813.563
#> [71] -3811.061 -3808.382 -3805.920 -3804.056 -3802.902 -3802.308 -3802.043
#> [78] -3801.934 -3801.889 -3801.870 -3801.861
#>
#> $best_model$ICL
#> [1] -7751.088
#>
#> $best_model$BIC
#> [1] -7751.088
#>
#> $best_model$AIC
#> [1] -7667.722
#>
#>
#> $all_fitted_model
#> name AIC BIC ICL
#> 2 GUU G2 Q33 -7667.722 -7751.088 -7751.088
#> 1 GUU G2 Q22 -7794.569 -7872.724 -7872.726
#for Logistic normal multinomial factor analyzer (LNM-FA)
lnmfa(W_count, range_G=2, range_Q = c(2:3), model="GUU",criteria = "BIC")
#> Best model GUU G = 2 Q= 33
#> $best_model
#> $best_model$z_ig
#> [,1] [,2]
#> [1,] 1.623739e-11 1.000000e+00
#> [2,] 3.366848e-08 1.000000e+00
#> [3,] 1.000000e+00 1.464891e-199
#> [4,] 4.849383e-10 1.000000e+00
#> [5,] 1.639690e-09 1.000000e+00
#> [6,] 1.000000e+00 1.045265e-223
#> [7,] 1.000000e+00 9.078540e-199
#> [8,] 1.000000e+00 1.299974e-183
#> [9,] 1.000000e+00 3.562240e-166
#> [10,] 2.870829e-10 1.000000e+00
#> [11,] 1.000000e+00 5.297049e-276
#> [12,] 1.000000e+00 7.788881e-263
#> [13,] 1.000000e+00 4.350256e-216
#> [14,] 1.990869e-12 1.000000e+00
#> [15,] 1.813466e-09 1.000000e+00
#> [16,] 1.000000e+00 1.803458e-95
#> [17,] 1.000000e+00 2.545785e-188
#> [18,] 1.000000e+00 3.180112e-162
#> [19,] 6.390678e-12 1.000000e+00
#> [20,] 2.919130e-10 1.000000e+00
#> [21,] 2.700009e-11 1.000000e+00
#> [22,] 9.799156e-10 1.000000e+00
#> [23,] 1.000000e+00 6.887023e-247
#> [24,] 1.000000e+00 7.232276e-291
#> [25,] 1.000000e+00 1.591854e-228
#> [26,] 1.000000e+00 2.388496e-206
#> [27,] 5.474325e-12 1.000000e+00
#> [28,] 1.000000e+00 8.160870e-293
#> [29,] 1.561654e-12 1.000000e+00
#> [30,] 6.987235e-12 1.000000e+00
#> [31,] 1.206373e-10 1.000000e+00
#> [32,] 2.362889e-10 1.000000e+00
#> [33,] 1.000000e+00 8.393206e-252
#> [34,] 4.018223e-10 1.000000e+00
#> [35,] 2.285648e-12 1.000000e+00
#> [36,] 6.749334e-12 1.000000e+00
#> [37,] 1.000000e+00 4.658439e-118
#> [38,] 1.000000e+00 5.489357e-230
#> [39,] 1.000000e+00 1.634361e-206
#> [40,] 3.718258e-09 1.000000e+00
#> [41,] 1.000000e+00 3.654590e-175
#> [42,] 1.000000e+00 4.962283e-276
#> [43,] 1.000000e+00 1.012761e-248
#> [44,] 5.214896e-11 1.000000e+00
#> [45,] 1.000000e+00 8.519029e-256
#> [46,] 1.000000e+00 4.059436e-213
#> [47,] 7.142085e-12 1.000000e+00
#> [48,] 1.000000e+00 2.948920e-154
#> [49,] 1.000000e+00 8.442309e-170
#> [50,] 7.957404e-10 1.000000e+00
#> [51,] 1.000000e+00 7.011643e-222
#> [52,] 2.836623e-12 1.000000e+00
#> [53,] 1.000000e+00 1.409925e-211
#> [54,] 1.000000e+00 5.891984e-246
#> [55,] 1.000000e+00 2.211360e-252
#> [56,] 1.628521e-12 1.000000e+00
#> [57,] 1.528205e-12 1.000000e+00
#> [58,] 1.000000e+00 3.239808e-89
#> [59,] 3.864609e-12 1.000000e+00
#> [60,] 1.000000e+00 5.110295e-152
#> [61,] 3.196693e-13 1.000000e+00
#> [62,] 1.000000e+00 1.631947e-230
#> [63,] 1.000000e+00 8.913738e-78
#> [64,] 1.382918e-10 1.000000e+00
#> [65,] 1.000000e+00 1.186687e-133
#> [66,] 1.000000e+00 4.131328e-291
#> [67,] 1.000000e+00 4.630353e-287
#> [68,] 2.958614e-10 1.000000e+00
#> [69,] 3.882656e-09 1.000000e+00
#> [70,] 1.000000e+00 6.374561e-194
#> [71,] 8.841316e-10 1.000000e+00
#> [72,] 1.000000e+00 8.722705e-145
#> [73,] 1.000000e+00 8.919039e-249
#> [74,] 1.000000e+00 8.163173e-292
#> [75,] 1.000000e+00 8.285329e-292
#> [76,] 2.274424e-12 1.000000e+00
#> [77,] 1.000000e+00 1.348811e-48
#> [78,] 1.000000e+00 2.316026e-304
#> [79,] 3.396280e-08 1.000000e+00
#> [80,] 1.000000e+00 5.256203e-143
#> [81,] 1.000000e+00 1.891798e-277
#> [82,] 5.208438e-11 1.000000e+00
#> [83,] 1.000000e+00 5.175166e-240
#> [84,] 1.000000e+00 1.803251e-74
#> [85,] 3.224843e-12 1.000000e+00
#> [86,] 2.374338e-11 1.000000e+00
#> [87,] 4.090745e-11 1.000000e+00
#> [88,] 4.893779e-12 1.000000e+00
#> [89,] 8.441400e-10 1.000000e+00
#> [90,] 4.985893e-11 1.000000e+00
#> [91,] 3.309518e-11 1.000000e+00
#> [92,] 1.630165e-11 1.000000e+00
#> [93,] 1.000000e+00 5.878891e-83
#> [94,] 1.000000e+00 3.587699e-288
#> [95,] 2.768577e-11 1.000000e+00
#> [96,] 1.000000e+00 5.127944e-122
#> [97,] 1.000000e+00 2.738594e-179
#> [98,] 1.000000e+00 6.205654e-122
#> [99,] 1.000000e+00 3.821548e-132
#> [100,] 1.000000e+00 1.761360e-65
#>
#> $best_model$cluster
#> [1] 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 2 1
#> [38] 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 2 1 2 1 1 1
#> [75] 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1
#>
#> $best_model$mu_g
#> $best_model$mu_g[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,29] [,30] [,31] [,32] [,33] [,34] [,35]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,36] [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,57] [,58] [,59] [,60] [,61] [,62] [,63]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,64] [,65] [,66] [,67] [,68] [,69] [,70]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,78] [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,85] [,86] [,87] [,88] [,89] [,90] [,91]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,92] [,93] [,94] [,95] [,96] [,97] [,98]
#> [1,] -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960 -3.089960
#> [2,] -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773 -1.740773
#> [3,] -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528 -1.683528
#> [4,] -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055 -3.762055
#> [5,] -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669 -2.557669
#> [,99] [,100]
#> [1,] -3.089960 -3.089960
#> [2,] -1.740773 -1.740773
#> [3,] -1.683528 -1.683528
#> [4,] -3.762055 -3.762055
#> [5,] -2.557669 -2.557669
#>
#> $best_model$mu_g[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,7] [,8] [,9] [,10] [,11] [,12]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,13] [,14] [,15] [,16] [,17] [,18]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,25] [,26] [,27] [,28] [,29] [,30]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,31] [,32] [,33] [,34] [,35] [,36]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,43] [,44] [,45] [,46] [,47] [,48]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,49] [,50] [,51] [,52] [,53] [,54]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,55] [,56] [,57] [,58] [,59] [,60]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,61] [,62] [,63] [,64] [,65] [,66]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,67] [,68] [,69] [,70] [,71] [,72]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,73] [,74] [,75] [,76] [,77] [,78]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,85] [,86] [,87] [,88] [,89] [,90]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,91] [,92] [,93] [,94] [,95] [,96]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792 -1.3731792
#> [,97] [,98] [,99] [,100]
#> [1,] 1.5491824 1.5491824 1.5491824 1.5491824
#> [2,] -2.6416112 -2.6416112 -2.6416112 -2.6416112
#> [3,] -1.1667309 -1.1667309 -1.1667309 -1.1667309
#> [4,] -0.4183387 -0.4183387 -0.4183387 -0.4183387
#> [5,] -1.3731792 -1.3731792 -1.3731792 -1.3731792
#>
#>
#> $best_model$pi_g
#> [1] 0.56 0.44
#>
#> $best_model$Lambda_g
#> $best_model$Lambda_g[[1]]
#> [,1] [,2] [,3]
#> [1,] -1.12801289 -0.33436369 0.93156888
#> [2,] -1.10232911 -0.41496471 0.73543024
#> [3,] -0.97321565 -0.57248762 1.19454893
#> [4,] 0.08335357 0.01683786 -0.08952548
#> [5,] 0.47352164 0.03485944 0.20946317
#>
#> $best_model$Lambda_g[[2]]
#> [,1] [,2] [,3]
#> [1,] -1.12801289 -0.33436369 0.93156888
#> [2,] -1.10232911 -0.41496471 0.73543024
#> [3,] -0.97321565 -0.57248762 1.19454893
#> [4,] 0.08335357 0.01683786 -0.08952548
#> [5,] 0.47352164 0.03485944 0.20946317
#>
#>
#> $best_model$D_g
#> $best_model$D_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.6419823 0.000000 0.0000000 0.0000000 0.000000
#> [2,] 0.0000000 1.329593 0.0000000 0.0000000 0.000000
#> [3,] 0.0000000 0.000000 0.2702572 0.0000000 0.000000
#> [4,] 0.0000000 0.000000 0.0000000 0.6413843 0.000000
#> [5,] 0.0000000 0.000000 0.0000000 0.0000000 1.469307
#>
#> $best_model$D_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.0429006 0.0000000 0.0000000 0.00000000 0.0000000
#> [2,] 0.0000000 0.4412286 0.0000000 0.00000000 0.0000000
#> [3,] 0.0000000 0.0000000 0.4116782 0.00000000 0.0000000
#> [4,] 0.0000000 0.0000000 0.0000000 0.01026659 0.0000000
#> [5,] 0.0000000 0.0000000 0.0000000 0.00000000 0.2408416
#>
#>
#> $best_model$COV
#> $best_model$COV[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 2.8940158 2.0673049 2.4020576 -0.18309476 -0.35070974
#> [2,] 2.0673049 3.2578459 2.1889205 -0.16478023 -0.38248387
#> [3,] 2.4020576 2.1889205 2.9721336 -0.19774505 -0.23057679
#> [4,] -0.1830948 -0.1647802 -0.1977451 0.65665155 0.02130242
#> [5,] -0.3507097 -0.3824839 -0.2305768 0.02130242 1.73863415
#>
#> $best_model$COV[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 2.2950412 2.0673049 2.4020576 -0.18309476 -0.35070974
#> [2,] 2.0673049 2.3693708 2.1889205 -0.16478023 -0.38248387
#> [3,] 2.4020576 2.1889205 3.1134733 -0.19774505 -0.23057679
#> [4,] -0.1830948 -0.1647802 -0.1977451 0.02551900 0.02130242
#> [5,] -0.3507097 -0.3824839 -0.2305768 0.02130242 0.51014867
#>
#>
#> $best_model$beta_g
#> $best_model$beta_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -3.08996 -1.740773 -1.683528 -3.762055 -2.557669
#>
#> $best_model$beta_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 1.549182 -2.641611 -1.166731 -0.4183387 -1.373179
#>
#>
#> $best_model$overall_loglik
#> [1] -Inf -4419.871 -4062.346 -4011.071 -3988.167 -3969.423 -3951.997
#> [8] -3935.757 -3921.071 -3908.338 -3897.732 -3889.140 -3882.256 -3876.714
#> [15] -3872.191 -3868.445 -3865.316 -3862.692 -3860.485 -3858.619 -3857.023
#> [22] -3855.641 -3854.433 -3853.369 -3852.433 -3851.617 -3850.922 -3850.344
#> [29] -3849.878 -3849.509 -3849.219 -3848.986 -3848.793 -3848.625 -3848.474
#> [36] -3848.334 -3848.199 -3848.070 -3847.944 -3847.823 -3847.705 -3847.593
#> [43] -3847.488 -3847.390 -3847.299 -3847.217 -3847.141 -3847.073 -3847.011
#> [50] -3846.955 -3846.905 -3846.858 -3846.816 -3846.777 -3846.742 -3846.709
#> [57] -3846.679 -3846.651 -3846.625 -3846.602 -3846.579 -3846.559 -3846.540
#> [64] -3846.522 -3846.506 -3846.490 -3846.476 -3846.463 -3846.451 -3846.439
#> [71] -3846.429 -3846.419 -3846.410 -3846.401 -3846.393 -3846.386 -3846.379
#> [78] -3846.373 -3846.367 -3846.361 -3846.356 -3846.351 -3846.346 -3846.342
#> [85] -3846.338 -3846.334 -3846.330 -3846.327 -3846.323 -3846.320 -3846.317
#> [92] -3846.314 -3846.312 -3846.309 -3846.307 -3846.304 -3846.302 -3846.300
#> [99] -3846.298 -3846.296 -3846.295 -3846.293 -3846.291 -3846.290 -3846.288
#> [106] -3846.287 -3846.286 -3846.285 -3846.283 -3846.282 -3846.281 -3846.280
#> [113] -3846.279 -3846.279 -3846.278 -3846.277 -3846.276 -3846.276 -3846.275
#>
#> $best_model$ICL
#> [1] -7844.52
#>
#> $best_model$BIC
#> [1] -7844.52
#>
#> $best_model$AIC
#> [1] -7758.55
#>
#>
#> $all_fitted_model
#> name AIC BIC ICL
#> 2 GUU G2 Q33 -7758.550 -7844.520 -7844.520
#> 1 GUU G2 Q22 -7807.702 -7885.858 -7885.858
#for Penalized logistic normal multinomial factor analyzer (PLNM-FA)
plnmfa(W_count, range_G=2, range_Q = 3, model="UUU",range_tuning=seq(0.7,0.9,by=0.05))
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Best model UUU G = 2 Q= 33 T=0.85
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> Warning in 1:Q_g: numerical expression has 2 elements: only the first used
#> $best_model
#> $best_model$z_ig
#> [,1] [,2]
#> [1,] 3.963567e-13 1.000000e+00
#> [2,] 3.396564e-09 1.000000e+00
#> [3,] 1.000000e+00 3.074903e-193
#> [4,] 1.483146e-10 1.000000e+00
#> [5,] 4.564715e-11 1.000000e+00
#> [6,] 1.000000e+00 7.050019e-243
#> [7,] 1.000000e+00 2.288247e-197
#> [8,] 1.000000e+00 1.218513e-185
#> [9,] 1.000000e+00 2.155656e-164
#> [10,] 5.520081e-12 1.000000e+00
#> [11,] 1.000000e+00 1.619426e-293
#> [12,] 1.000000e+00 2.465064e-306
#> [13,] 1.000000e+00 1.004709e-206
#> [14,] 3.390340e-14 1.000000e+00
#> [15,] 1.743225e-10 1.000000e+00
#> [16,] 1.000000e+00 5.105956e-91
#> [17,] 1.000000e+00 2.833349e-218
#> [18,] 1.000000e+00 9.873531e-163
#> [19,] 2.129876e-13 1.000000e+00
#> [20,] 3.658377e-11 1.000000e+00
#> [21,] 5.938598e-13 1.000000e+00
#> [22,] 1.037497e-11 1.000000e+00
#> [23,] 1.000000e+00 8.727016e-287
#> [24,] 1.000000e+00 5.559353e-291
#> [25,] 1.000000e+00 4.025202e-237
#> [26,] 1.000000e+00 2.260877e-199
#> [27,] 1.357533e-13 1.000000e+00
#> [28,] 1.000000e+00 2.439725e-293
#> [29,] 2.273850e-14 1.000000e+00
#> [30,] 2.962595e-14 1.000000e+00
#> [31,] 3.818851e-12 1.000000e+00
#> [32,] 3.717872e-12 1.000000e+00
#> [33,] 1.000000e+00 4.177833e-263
#> [34,] 9.648868e-12 1.000000e+00
#> [35,] 2.738814e-14 1.000000e+00
#> [36,] 1.925396e-12 1.000000e+00
#> [37,] 1.000000e+00 1.091835e-110
#> [38,] 1.000000e+00 2.394661e-235
#> [39,] 1.000000e+00 2.964455e-198
#> [40,] 1.411479e-10 1.000000e+00
#> [41,] 1.000000e+00 7.345944e-170
#> [42,] 1.000000e+00 6.804635e-295
#> [43,] 1.000000e+00 1.349021e-244
#> [44,] 2.305296e-12 1.000000e+00
#> [45,] 1.000000e+00 2.455751e-247
#> [46,] 1.000000e+00 4.140738e-215
#> [47,] 6.597251e-13 1.000000e+00
#> [48,] 1.000000e+00 5.342356e-191
#> [49,] 1.000000e+00 1.469639e-170
#> [50,] 2.302505e-11 1.000000e+00
#> [51,] 1.000000e+00 8.681405e-217
#> [52,] 6.902501e-14 1.000000e+00
#> [53,] 1.000000e+00 7.163666e-204
#> [54,] 1.000000e+00 8.801148e-239
#> [55,] 1.000000e+00 3.215476e-259
#> [56,] 2.189487e-14 1.000000e+00
#> [57,] 1.661977e-14 1.000000e+00
#> [58,] 1.000000e+00 3.670402e-85
#> [59,] 3.286997e-12 1.000000e+00
#> [60,] 1.000000e+00 4.680250e-177
#> [61,] 3.585437e-15 1.000000e+00
#> [62,] 1.000000e+00 3.304519e-243
#> [63,] 1.000000e+00 4.578356e-78
#> [64,] 1.861869e-12 1.000000e+00
#> [65,] 1.000000e+00 5.398334e-128
#> [66,] 1.000000e+00 1.650446e-291
#> [67,] 1.000000e+00 5.288469e-298
#> [68,] 2.652847e-11 1.000000e+00
#> [69,] 1.273757e-10 1.000000e+00
#> [70,] 1.000000e+00 4.740619e-198
#> [71,] 1.431993e-10 1.000000e+00
#> [72,] 1.000000e+00 5.413627e-155
#> [73,] 1.000000e+00 2.278355e-265
#> [74,] 1.000000e+00 1.512848e-292
#> [75,] 1.000000e+00 7.732816e-292
#> [76,] 4.851050e-12 1.000000e+00
#> [77,] 1.000000e+00 6.947277e-57
#> [78,] 1.000000e+00 7.453610e-293
#> [79,] 3.280032e-10 1.000000e+00
#> [80,] 1.000000e+00 1.483666e-145
#> [81,] 1.000000e+00 5.996203e-281
#> [82,] 3.163799e-12 1.000000e+00
#> [83,] 1.000000e+00 1.702435e-250
#> [84,] 1.000000e+00 5.091003e-79
#> [85,] 4.013100e-14 1.000000e+00
#> [86,] 3.650088e-13 1.000000e+00
#> [87,] 5.888976e-12 1.000000e+00
#> [88,] 1.164635e-13 1.000000e+00
#> [89,] 1.051646e-10 1.000000e+00
#> [90,] 2.443114e-12 1.000000e+00
#> [91,] 5.373615e-12 1.000000e+00
#> [92,] 2.168967e-12 1.000000e+00
#> [93,] 1.000000e+00 3.829753e-79
#> [94,] 1.000000e+00 1.571084e-297
#> [95,] 6.417236e-13 1.000000e+00
#> [96,] 1.000000e+00 4.067807e-116
#> [97,] 1.000000e+00 1.209848e-178
#> [98,] 1.000000e+00 7.029996e-117
#> [99,] 1.000000e+00 3.734158e-129
#> [100,] 1.000000e+00 2.748544e-69
#>
#> $best_model$cluster
#> [1] 2 2 1 2 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 2 1
#> [38] 1 1 2 1 1 1 2 1 1 2 1 1 2 1 2 1 1 1 2 2 1 2 1 2 1 1 2 1 1 1 2 2 1 2 1 1 1
#> [75] 1 2 1 1 2 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1
#>
#> $best_model$mu_g
#> $best_model$mu_g[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,8] [,9] [,10] [,11] [,12] [,13] [,14]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,29] [,30] [,31] [,32] [,33] [,34] [,35]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,36] [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,50] [,51] [,52] [,53] [,54] [,55] [,56]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,57] [,58] [,59] [,60] [,61] [,62] [,63]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,64] [,65] [,66] [,67] [,68] [,69] [,70]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,71] [,72] [,73] [,74] [,75] [,76] [,77]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,78] [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,85] [,86] [,87] [,88] [,89] [,90] [,91]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,92] [,93] [,94] [,95] [,96] [,97] [,98]
#> [1,] -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367 -3.092367
#> [2,] -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169 -1.740169
#> [3,] -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572 -1.683572
#> [4,] -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661 -3.756661
#> [5,] -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798 -2.554798
#> [,99] [,100]
#> [1,] -3.092367 -3.092367
#> [2,] -1.740169 -1.740169
#> [3,] -1.683572 -1.683572
#> [4,] -3.756661 -3.756661
#> [5,] -2.554798 -2.554798
#>
#> $best_model$mu_g[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,7] [,8] [,9] [,10] [,11] [,12]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,13] [,14] [,15] [,16] [,17] [,18]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,25] [,26] [,27] [,28] [,29] [,30]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,31] [,32] [,33] [,34] [,35] [,36]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,37] [,38] [,39] [,40] [,41] [,42]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,43] [,44] [,45] [,46] [,47] [,48]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,49] [,50] [,51] [,52] [,53] [,54]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,55] [,56] [,57] [,58] [,59] [,60]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,61] [,62] [,63] [,64] [,65] [,66]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,67] [,68] [,69] [,70] [,71] [,72]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,73] [,74] [,75] [,76] [,77] [,78]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,79] [,80] [,81] [,82] [,83] [,84]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,85] [,86] [,87] [,88] [,89] [,90]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,91] [,92] [,93] [,94] [,95] [,96]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601 -1.3736601
#> [,97] [,98] [,99] [,100]
#> [1,] 1.5487377 1.5487377 1.5487377 1.5487377
#> [2,] -2.6418697 -2.6418697 -2.6418697 -2.6418697
#> [3,] -1.1670058 -1.1670058 -1.1670058 -1.1670058
#> [4,] -0.4187209 -0.4187209 -0.4187209 -0.4187209
#> [5,] -1.3736601 -1.3736601 -1.3736601 -1.3736601
#>
#>
#> $best_model$pi_g
#> [1] 0.56 0.44
#>
#> $best_model$Lambda_g
#> $best_model$Lambda_g[[1]]
#> [,1] [,2] [,3]
#> [1,] -1.646051 0.2380172 0
#> [2,] -1.467575 0.0000000 0
#> [3,] -1.734332 0.0000000 0
#> [4,] 0.000000 -0.3760904 0
#> [5,] 0.000000 -0.8986007 0
#>
#> $best_model$Lambda_g[[2]]
#> [,1] [,2] [,3]
#> [1,] -0.236058658 0 0.22139616
#> [2,] -0.293579622 0 0.00000000
#> [3,] 0.000000000 0 0.05254284
#> [4,] 0.006775865 0 -0.05352619
#> [5,] 0.369890832 0 0.00000000
#>
#>
#> $best_model$D_g
#> $best_model$D_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.5648726 0.000000 0.0000000 0.0000000 0.0000000
#> [2,] 0.0000000 1.342814 0.0000000 0.0000000 0.0000000
#> [3,] 0.0000000 0.000000 0.4005575 0.0000000 0.0000000
#> [4,] 0.0000000 0.000000 0.0000000 0.4450252 0.0000000
#> [5,] 0.0000000 0.000000 0.0000000 0.0000000 0.7003053
#>
#> $best_model$D_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.09574593 0.000000 0.0000000 0.000000000 0.0000000
#> [2,] 0.00000000 0.385747 0.0000000 0.000000000 0.0000000
#> [3,] 0.00000000 0.000000 0.3983646 0.000000000 0.0000000
#> [4,] 0.00000000 0.000000 0.0000000 0.009351399 0.0000000
#> [5,] 0.00000000 0.000000 0.0000000 0.000000000 0.2910304
#>
#>
#> $best_model$COV
#> $best_model$COV[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 3.33099569 2.415725 2.854809 -0.08952718 -0.2140350
#> [2,] 2.41572531 3.496597 2.545261 0.00000000 0.0000000
#> [3,] 2.85480949 2.545261 3.408484 0.00000000 0.0000000
#> [4,] -0.08952718 0.000000 0.000000 0.58648095 0.3380308
#> [5,] -0.21403496 0.000000 0.000000 0.33803081 1.5077258
#>
#> $best_model$COV[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.20054529 0.069444677 0.011431956 -0.013387788 -0.087358635
#> [2,] 0.06944468 0.471953605 0.000000000 -0.002063799 -0.108296101
#> [3,] 0.01143196 0.000000000 0.401186750 -0.002780944 0.000000000
#> [4,] -0.01338779 -0.002063799 -0.002780944 0.012257639 0.002596177
#> [5,] -0.08735864 -0.108296101 0.000000000 0.002596177 0.427939450
#>
#>
#> $best_model$beta_g
#> $best_model$beta_g[[1]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -3.092367 -1.740169 -1.683572 -3.756661 -2.554798
#>
#> $best_model$beta_g[[2]]
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 1.548738 -2.64187 -1.167006 -0.4187209 -1.37366
#>
#>
#> $best_model$overall_loglik
#> [1] -Inf -4124.544 -3886.945 -3869.154 -3865.734 -3864.190 -3863.096
#> [8] -3862.220 -3861.464 -3860.781 -3860.141 -3859.525 -3858.948 -3858.379
#> [15] -3857.800 -3857.201 -3856.571 -3855.898 -3855.165 -3854.355 -3853.456
#> [22] -3852.472 -3851.588 -3850.925 -3850.441 -3850.000 -3849.574 -3849.151
#> [29] -3848.730 -3848.311 -3847.891 -3847.489 -3847.112 -3846.752 -3846.431
#> [36] -3846.172 -3845.982 -3845.807 -3845.639 -3845.476 -3845.314 -3845.152
#> [43] -3844.987 -3844.819 -3844.645 -3844.465 -3844.276 -3844.077 -3843.865
#> [50] -3843.636 -3843.386 -3843.107 -3842.790 -3842.422 -3842.012 -3841.524
#> [57] -3840.930 -3840.224 -3839.427 -3838.583 -3838.445 -3838.360 -3838.268
#> [64] -3838.164 -3838.047 -3837.918 -3837.785 -3837.653 -3837.524 -3837.403
#> [71] -3837.291 -3837.189 -3837.091 -3836.989 -3836.891 -3836.854 -3836.814
#> [78] -3836.770 -3836.722 -3836.668 -3836.609 -3836.545 -3836.501 -3836.480
#> [85] -3836.461 -3836.445 -3836.432 -3836.420 -3836.415
#>
#> $best_model$ICL
#> [1] -7743.335
#>
#> $best_model$BIC
#> [1] -7743.335
#>
#> $best_model$AIC
#> [1] -7654.759
#>
#> $best_model$tuning
#> [1] 0.85 0.85
#>
#>
#> $all_fitted_model
#> name AIC BIC ICL
#> 4 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 9 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 14 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 19 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 24 UUU G2 Q33 T0.85 -7654.759 -7743.335 -7743.335
#> 5 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 10 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 15 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 20 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 25 UUU G2 Q33 T0.9 -7676.087 -7751.637 -7751.637
#> 3 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 8 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 13 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 18 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 23 UUU G2 Q33 T0.8 -7656.584 -7755.581 -7755.581
#> 2 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 7 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 12 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 17 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 22 UUU G2 Q33 T0.75 -7655.891 -7757.493 -7757.493
#> 1 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 6 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 11 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 16 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499
#> 21 UUU G2 Q33 T0.7 -7656.292 -7760.499 -7760.499