TensorTools

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TensorTools

Introduction

TensorTools is a set of tools to manipulate 3D tensors of data. The package follows the work of Kernfeld, E., Kilmer, M., and Aeron, S. https://doi.org/10.1016/j.laa.2015.07.021. For most operations, the first step is to take a discrete linear transpose along mode 3. The TensorTools package allows manipulation of tensors using one of 6 discrete transforms.

General principles:

Results are transformation dependent. In other words, multiplying 2 tensors together using a different transformation will give you a different product.
Inverses are not unique. In other words, different transformations yield inverses that are scaled differently. When calculating: $\texttt{tmult}(\texttt{A},\texttt{tInv(A)},\texttt{"tform"})=\texttt{I}$, the identity tensor will have zeros for all lateral slices except the first slice and the first lateral slice will be an identity matrix times some scalar. The scalar will be different depending on which transform was used as well as the number of lateral slices.
If you calculate the inverse tensor and then use the inverse tensor in a product, you must use the same transformation that was used to find the inverse tensor. The same is true for the tensor transpose function.

S-3 Class

For storing and implementing tensor operations, TensorTools is built around an S-3 class in R. Tensors store multi-dimensional arrays. The modes of a tensor represent the dimensions of the multi-dimensional array that is being stored. Using an S-3 class, one can access the tensor modes by using the standard $ functionality in R. For example, mytensor$modes. Similarly, the data in the tensor can be accessed by mytensor$data.

A <- t_rand(modes=c(3,4,5))
A$modes
#> [1] 3 4 5
A$data
#> , , 1
#> 
#>            [,1]       [,2]        [,3]       [,4]
#> [1,]  0.9156366 -0.4644979  0.09508051  0.4039841
#> [2,] -0.4574297 -1.6736081 -0.89441265 -0.1403780
#> [3,]  0.4482216  1.1130167  0.66499579 -0.5229190
#> 
#> , , 2
#> 
#>            [,1]       [,2]      [,3]        [,4]
#> [1,] -0.1403534  0.2942286 0.2137096  0.58863097
#> [2,]  0.1034761 -1.3464554 1.5363851  1.05408625
#> [3,] -2.3152470  1.3129982 0.2228984 -0.08141837
#> 
#> , , 3
#> 
#>             [,1]       [,2]        [,3]       [,4]
#> [1,] -0.64957359 -0.5932631 -0.80588192 -0.2935569
#> [2,] -0.08267014  3.1595335 -0.06843009 -0.4831726
#> [3,]  0.63182195 -0.8616343 -1.14220790 -1.0707090
#> 
#> , , 4
#> 
#>           [,1]       [,2]      [,3]       [,4]
#> [1,] 0.3450380  1.3935609 1.0044027 -0.5913862
#> [2,] 0.1334939 -1.3463428 0.9381241 -0.4912810
#> [3,] 0.3323578  0.1338881 0.7083116  0.4694935
#> 
#> , , 5
#> 
#>            [,1]      [,2]      [,3]       [,4]
#> [1,] -0.1428469  1.683327 0.6530581 -0.7048762
#> [2,]  0.7681520 -1.113173 0.8612013 -1.1552678
#> [3,] -1.3761160 -1.863616 1.3375532 -0.1042459

Tensor Multiplication

The tensor multiplication function ($\texttt{tmult}$) multiplies two tensors. Step one is to perform a discrete transform along mode 3. After transformation, the frontal slices are multiplied to together resulting in a new tensor.

Because the frontal faces are multiplied together, the second mode of the first tensor must match the first mode of the second tensor. As a example, we can multiply a $3 \times 4 \times 2$ tensor by a $4 \times 5 \times 2$ tensor. In addition, mode 3 dimensions must also match. If you are using the discrete wavelet transform, there is an additional requirement that the mode 3 dimension must be a of length $2^n$ where $n>1$ otherwise you must 0 pad the tensor in that dimension.

A <-t_rand(modes=c(3,4,2))
B <- t_rand(modes=c(4,5,2))
tmult(x=A,y=B,"dct")
#> $modes
#> [1] 3 5 2
#> 
#> $data
#> , , 1
#> 
#>           [,1]      [,2]       [,3]       [,4]       [,5]
#> [1,] -1.372395 4.0055876 -3.8806582  2.1160449  1.9220801
#> [2,] -0.442812 0.1001063  1.0296146  0.7627955 -1.7252918
#> [3,]  1.563735 1.1963148 -0.1407077 -1.4635825 -0.1828032
#> 
#> , , 2
#> 
#>           [,1]       [,2]        [,3]        [,4]       [,5]
#> [1,]  1.418395  1.1245930 -2.24887330  5.67002473 -2.6376731
#> [2,] -2.401640  3.5699153 -1.08618497 -3.86275840  1.9490127
#> [3,]  0.136760 -0.3820374  0.02535267 -0.01277382  0.7211434
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"

Tensor Inverse

The tensor inverse function ($\texttt{tINV}$) performs a discrete transformation down mode 3. Then, each of the frontal slices are inverted. Because the slices must be inverted, the mode 1 and mode 2 dimensions must be equal.

A <-  t_rand(modes=c(3,3,2))
Ainv = tINV(A,"dct")
tmult(A,Ainv,"dct") # the result is an identity tensor
#> $modes
#> [1] 3 3 2
#> 
#> $data
#> , , 1
#> 
#>               [,1]          [,2]          [,3]
#> [1,]  1.414214e+00 -3.728970e-16 -5.887847e-17
#> [2,] -2.085279e-17  1.414214e+00 -2.943923e-17
#> [3,]  7.114481e-17  0.000000e+00  1.414214e+00
#> 
#> , , 2
#> 
#>               [,1]         [,2]          [,3]
#> [1,]  0.000000e+00 2.943923e-16 -5.887847e-17
#> [2,]  1.226635e-18 0.000000e+00 -2.943923e-17
#> [3,] -7.114481e-17 0.000000e+00  0.000000e+00
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"

Tensor Transpose

The tensor transpose ($\texttt{t_tpose}$) performs a discrete transformation down mode 3. Then, each of the frontal slices are transposed.

A <-  t_rand(modes=c(3,5,2))
A
#> $modes
#> [1] 3 5 2
#> 
#> $data
#> , , 1
#> 
#>            [,1]      [,2]      [,3]      [,4]       [,5]
#> [1,] -1.9968085 1.6158770 0.8861109 0.1624382 -1.5164220
#> [2,] -0.5680265 0.5692344 0.2064587 0.1459426 -0.9389696
#> [3,] -1.4010699 0.5931230 0.4294646 0.8374289  1.0523779
#> 
#> , , 2
#> 
#>           [,1]      [,2]        [,3]       [,4]        [,5]
#> [1,] -0.789690  1.887568  0.06585003  0.6363097 -0.03196683
#> [2,]  0.788606 -1.880867 -0.11239024  0.7714774  0.06275419
#> [3,]  1.034834  1.537790  0.53063340 -0.2534425  0.77165270
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"
t_tpose(A,"dct")
#> $modes
#> [1] 5 3 2
#> 
#> $data
#> , , 1
#> 
#>            [,1]       [,2]       [,3]
#> [1,] -1.9968085 -0.5680265 -1.4010699
#> [2,]  1.6158770  0.5692344  0.5931230
#> [3,]  0.8861109  0.2064587  0.4294646
#> [4,]  0.1624382  0.1459426  0.8374289
#> [5,] -1.5164220 -0.9389696  1.0523779
#> 
#> , , 2
#> 
#>             [,1]        [,2]       [,3]
#> [1,] -0.78968999  0.78860595  1.0348345
#> [2,]  1.88756827 -1.88086722  1.5377897
#> [3,]  0.06585003 -0.11239024  0.5306334
#> [4,]  0.63630974  0.77147744 -0.2534425
#> [5,] -0.03196683  0.06275419  0.7716527
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"

Eigenvalue Decomposition

The eigenvalue decomposition function ($\texttt{tEIG}$) performs an eigenvalue decomposition on a tensor whose dimensions are $n \times n \times k$ using any discrete transform. The function returns 2 tenors, an $n \times n \times k$ tensor of eigenvectors and a diagonal tensor of eigenvalues which is also $n \times n \times k$. Notice that if we multiply $P D P^{-1}$ we obtain the original tensor.

A = t_rand(modes=c(3,3,2))
result = tEIG(A,"dst")
A$data-tmult(tmult(result$P,result$D,"dst"),tINV(result$P,"dst"),"dst")$data # zero tensor
#> , , 1
#> 
#>                             [,1]                        [,2]
#> [1,] -6.661338e-16+7.401487e-17i -2.220446e-16+1.480297e-16i
#> [2,] -1.129305e-15-3.203456e-16i  0.000000e+00-2.220446e-16i
#> [3,]  1.249001e-16+2.359224e-16i  0.000000e+00+1.480297e-16i
#>                             [,3]
#> [1,]  1.554312e-15-2.960595e-16i
#> [2,] -1.665335e-16-3.700743e-16i
#> [3,] -2.914335e-16-1.017704e-16i
#> 
#> , , 2
#> 
#>                             [,1]                        [,2]
#> [1,] -1.165734e-15-2.403703e-16i  0.000000e+00+1.281975e-16i
#> [2,] -2.220446e-16+1.922963e-16i -6.661338e-16-3.525432e-16i
#> [3,]  1.110223e-16-1.722654e-16i  0.000000e+00+1.562407e-16i
#>                             [,3]
#> [1,]  1.332268e-15-1.303737e-16i
#> [2,]  2.220446e-15-1.829668e-17i
#> [3,] -3.608225e-16-2.387842e-17i

LU Decomposition

The LU decomposition factors a 3-mode tensor into a lower triangular tensor and an upper triangular tensor.

Note: In order to perform this operation, the frontal slices need to be square.

A <- t_rand(modes=c(3,3,2))
result <- tLU(A,"dht")
A$data-tmult(result$L,result$U,"dht")$data
#> , , 1
#> 
#>              [,1]          [,2]          [,3]
#> [1,] 0.000000e+00  0.000000e+00 -1.110223e-16
#> [2,] 5.551115e-17 -2.775558e-17  0.000000e+00
#> [3,] 1.110223e-16  0.000000e+00 -1.110223e-16
#> 
#> , , 2
#> 
#>               [,1]          [,2]          [,3]
#> [1,]  0.000000e+00  5.551115e-17  0.000000e+00
#> [2,]  2.220446e-16 -4.163336e-17 -4.857226e-17
#> [3,] -2.220446e-16  2.775558e-17 -8.326673e-17

QR Decomposition

The QR decomposition factors a 3-mode tensor into a left singular tensor object tensor and a right singular tensor object.

Note: In order to perform this operation, the frontal slices need to be square.

A <- t_rand(modes=c(3,3,2))
result <- tQR(A,"fft")
A$data-tmult(result$Q,result$R,"fft")$data
#> , , 1
#> 
#>               [,1]         [,2]          [,3]
#> [1,]  0.000000e+00 8.326673e-17 -1.110223e-16
#> [2,] -2.220446e-16 0.000000e+00  8.326673e-17
#> [3,] -1.110223e-16 1.387779e-17  0.000000e+00
#> 
#> , , 2
#> 
#>               [,1]          [,2]          [,3]
#> [1,] -1.110223e-16 -2.220446e-16  0.000000e+00
#> [2,] -5.551115e-17 -1.110223e-16  2.220446e-16
#> [3,] -5.551115e-17 -4.163336e-17 -2.220446e-16

Singular Value Decomposition

As an example, we use singular value decomposition (SVD) for image compression. By factoring a tensor $\cal{A}$ into orthogonal tensors $\cal{U},\cal{S}$ and $\cal{V}$ using the SVD, we can then truncate the tensor to the first $k$ singular values and compare different transforms to the original image.

library(raster)
#> Loading required package: sp
library(grid)
data(raytrace)

tform = "dct"

A = raytrace$boat
wSVD = tSVD(A,tform)

k = 30 # number of singular values kept
U = wSVD$U
V = wSVD$V
S = wSVD$S
tV = t_tpose(V,tform)

Uk = t_rand(modes = c(128, k, 128))
Sk = t_rand(modes = c(k, k, 128))
Vk = t_rand(modes = c(k, 128, 128))

Uk = U$data[,1:k,]

Sk = S$data[1:k,1:k,]

Vk = tV$data[1:k,,]

Uk = as.Tensor(Uk)
Vk = as.Tensor(Vk)
Sk = as.Tensor(Sk)

X = tmult(Uk, Sk,tform)
X = tmult(X, Vk, tform)

# See how close the compressed image is to the original image
fnorm(X$data-A$data)
#> [1] 15.9201

# feature scale
if (tform=="fft"){
  Xnew=Re(X$data)
} else {
  Xnew = X$data
}
Xnew = X$data
newX = (Xnew-min(Xnew))/(max(Xnew)-min(Xnew))

# View Images

# Compressed image

library(raster)
library(grid)
data(raytrace)

tform = "dct"

A = raytrace$boat
wSVD = tSVD(A,tform)

k = 30 # number of singular values kept
U = wSVD$U
V = wSVD$V
S = wSVD$S
tV = t_tpose(V,tform)

Uk = t_rand(modes = c(128, k, 128))
Sk = t_rand(modes = c(k, k, 128))
Vk = t_rand(modes = c(k, 128, 128))

Uk = U$data[,1:k,]

Sk = S$data[1:k,1:k,]

Vk = tV$data[1:k,,]

Uk = as.Tensor(Uk)
Vk = as.Tensor(Vk)
Sk = as.Tensor(Sk)

X = tmult(Uk, Sk,tform)
X = tmult(X, Vk, tform)

# See how close the compressed image is to the original image
fnorm(X$data-A$data)
#> [1] 15.9201

# feature scale
if (tform=="fft"){
  Xnew=Re(X$data)
} else {
  Xnew = X$data
}
Xnew = X$data
newX = (Xnew-min(Xnew))/(max(Xnew)-min(Xnew))

# View Images

# Compressed image
grid.raster(newX[,45,])

# Original Image
grid.raster(raytrace$boat$data[,45,])

Linear Discriminate Analysis

The $\tt{tLDA(\cA,nClass,nSamplesPerClass,\texttt{"tform"})}$ function performs tensor linear discriminate analysis on a 3-mode tensor. The function assumes that the classes are sorted.

For illustration purposes, we use a subset of the MNIST handwritten digits provided with the TensorTools package.

data(Mnist)
T <- Mnist$train$images

We sort the digits based on the labels.

myorder <- order(Mnist$train$labels)
T_sorted <- T$data[,myorder,]

Using a small subset, for illustration purposes, we perform tLDA.

T <- T_sorted[,c(1:2,1001:1002,2001:2002,3001:3002,4001:4002,5001:5002,6001:6002,7001:7002,8001:8002,9001:9002),]
tLDA(as.Tensor(T),10,2,"dct")
#> $modes
#> [1] 28  9 28
#> 
#> $data
#> , , 1
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.018729567 -0.29961683 -0.047439922  0.230952071  0.505888124
#>  [2,] -0.084116490 -0.40355481 -0.243615691  0.098311388  0.259630316
#>  [3,] -0.116373099 -0.13490589  0.135694641 -0.059391926  0.084223435
#>  [4,] -0.234686038 -0.17255113 -0.298536488  0.045660384  0.035661402
#>  [5,] -0.140803286  0.04855416  0.312252961  0.282315050 -0.021301646
#>  [6,]  0.504326445 -0.03155406 -0.086436483 -0.068733271  0.049861564
#>  [7,] -0.282280245 -0.15219693  0.530448964 -0.025248825 -0.326351549
#>  [8,]  0.111127959  0.06045907  0.092806713  0.094067209 -0.041490789
#>  [9,] -0.245876894  0.05600773  0.104324641  0.022449540  0.002338268
#> [10,] -0.019544929  0.05880150 -0.197489701 -0.135432857 -0.039169662
#> [11,]  0.079914777 -0.13133853 -0.054659590  0.047880239  0.030560899
#> [12,]  0.003154799  0.11386516 -0.021480912 -0.051111489 -0.002127329
#> [13,] -0.090430390  0.12437192  0.117197310 -0.004585074 -0.045856784
#> [14,] -0.187026217 -0.27093182 -0.264419609  0.029261973  0.087771714
#> [15,]  0.311578355  0.06818706  0.114934553  0.057925370  0.040370854
#> [16,] -0.252650698 -0.04028130  0.027528387  0.029288944  0.054646345
#> [17,] -0.006540129 -0.06893416 -0.006912149 -0.055288873 -0.005509510
#> [18,]  0.072596696  0.01293395 -0.017284823 -0.078963513 -0.060332220
#> [19,]  0.194370130 -0.05028327 -0.064573849 -0.054860864 -0.042889740
#> [20,] -0.192604870  0.15049611 -0.037381160 -0.038137099 -0.012564179
#> [21,]  0.385314834 -0.06070147  0.148289968  0.128611766  0.184490620
#> [22,] -0.235878265  0.01928785 -0.159455390 -0.161218554 -0.142938270
#> [23,]  0.266732143  0.02121847 -0.076408075  0.018896935  0.088069162
#> [24,] -0.017403991  0.41712271  0.236635598  0.037351100  0.013085921
#> [25,] -0.020063008 -0.05496180  0.169786614  0.042977546  0.143395215
#> [26,] -0.070995813 -0.33835940 -0.237071466 -0.031588715 -0.275780020
#> [27,] -0.485047619 -0.10526217  0.220201539 -0.004490585  0.708470853
#> [28,]  0.162470320  0.42220402  0.102238881 -0.157639566  0.347036069
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.094128406  0.045173801  0.420697198 -0.002353566
#>  [2,]  0.200061424 -0.198458907 -0.184136502  0.120864700
#>  [3,]  0.140354437  0.087175214  0.029000214 -0.230973577
#>  [4,]  0.299695248  0.131328504 -0.039601822  0.143299291
#>  [5,]  0.037546834 -0.015342019 -0.199182640 -0.090978149
#>  [6,] -0.076693013  0.031036255 -0.013981360 -0.205341607
#>  [7,] -0.034117782 -0.071735577  0.318714292  0.146214265
#>  [8,]  0.014393277 -0.085761712  0.014968561  0.028131744
#>  [9,] -0.106391718 -0.057618503  0.035420626 -0.083133629
#> [10,] -0.022734742 -0.021962000 -0.048159389  0.010583308
#> [11,]  0.006193538  0.032439537  0.035338535  0.044685429
#> [12,] -0.038670775  0.027698137  0.069835497 -0.003215889
#> [13,]  0.085601241 -0.048516307  0.006214719  0.004422558
#> [14,] -0.097062674  0.054082237 -0.025344775 -0.063213463
#> [15,] -0.088291481 -0.007315319  0.046319151  0.042300477
#> [16,]  0.124772246  0.078360160  0.030440068  0.049333744
#> [17,] -0.009911169  0.053219749  0.021818930 -0.043731845
#> [18,] -0.061820834  0.009878994  0.024246380 -0.032018278
#> [19,]  0.034068127  0.136237275  0.001628023  0.019132927
#> [20,] -0.060205531 -0.010476038 -0.074599389 -0.070787379
#> [21,] -0.095879206 -0.095545524  0.081686111 -0.002632169
#> [22,]  0.175014513  0.188376527  0.051003560 -0.005678356
#> [23,]  0.025881712  0.329981939  0.039348022 -0.099303555
#> [24,]  0.057967518 -0.078079380  0.013026291 -0.007359434
#> [25,]  0.040921198 -0.073277074  0.037154092 -0.083520982
#> [26,]  0.052388420 -0.068699962  0.023432820  0.374228664
#> [27,]  0.308824929 -0.057033775  0.549626350  0.656936981
#> [28,]  0.527142810 -0.271965474 -0.327577179 -0.621318854
#> 
#> , , 2
#> 
#>               [,1]        [,2]         [,3]        [,4]          [,5]
#>  [1,]  0.486331941  0.09383631 -0.026520341  0.43517988 -0.0672590181
#>  [2,] -0.315053604  0.29719605 -0.033736808 -0.26179251 -0.2587109437
#>  [3,] -0.150562763 -0.05769572 -0.079506706  0.01453481  0.2152890157
#>  [4,]  0.047011041  0.12495561  0.221871392 -0.17946376 -0.2895409089
#>  [5,] -0.147899495  0.28176008  0.071841108  0.08381420  0.6375827888
#>  [6,] -0.332527143 -0.05544560 -0.130293282 -0.28310000 -0.0613274776
#>  [7,]  0.339140780 -0.36293658  0.220847414  0.29109041 -0.0705419922
#>  [8,] -0.154306845  0.37711437  0.150467734  0.03943413  0.0507729232
#>  [9,]  0.330600252  0.07493559  0.033326989  0.09906575  0.0663482106
#> [10,] -0.129433539  0.05110833 -0.010803934 -0.06270727  0.0528508985
#> [11,] -0.156541580 -0.08808753 -0.007459989 -0.03327725 -0.0514903643
#> [12,]  0.095500496  0.24499458  0.039526517  0.02812524 -0.0008970894
#> [13,] -0.065867720  0.02778122  0.034532517 -0.04459246 -0.0381915308
#> [14,]  0.001794493  0.06079302 -0.074303861  0.01714219 -0.0999759432
#> [15,] -0.071676694  0.01359854  0.213549947  0.01962562  0.0631722848
#> [16,]  0.223525875 -0.05361904 -0.154830969 -0.06303140 -0.0919312161
#> [17,] -0.122345286  0.07367943  0.039742973 -0.08576805 -0.0039830505
#> [18,]  0.014177202 -0.08061549 -0.123133317  0.06089988  0.0713389860
#> [19,] -0.064916092 -0.29312780  0.022980027 -0.06037980 -0.0256882677
#> [20,] -0.074911772  0.04233879 -0.152863976 -0.19965669 -0.1301967101
#> [21,]  0.294738664 -0.01000539  0.077450209  0.32749216  0.4706723456
#> [22,] -0.063086460 -0.06743117 -0.093357086 -0.20923114 -0.1231970592
#> [23,] -0.220272601  0.32965897  0.002605542 -0.25824061 -0.1978438997
#> [24,] -0.076914379 -0.16518598  0.180286661  0.17533655  0.1217251013
#> [25,] -0.421945126  0.23881765  0.075835262  0.22988276  0.3274741342
#> [26,]  0.300870740 -0.02739633 -0.210592947  0.09246949  0.1135875882
#> [27,]  0.233716997 -0.37195992 -0.005079440  0.15579770  0.3719929607
#> [28,] -0.173462931  0.20464893 -0.023394793 -0.20826020  0.2543417220
#>               [,6]         [,7]        [,8]         [,9]
#>  [1,] -0.146618635 -0.617679571 -0.41151751 -0.120472011
#>  [2,]  0.059945185  0.249964257  0.18689707  0.145613518
#>  [3,]  0.098838501  0.002553011  0.08127941 -0.043157094
#>  [4,] -0.027286703 -0.173620190 -0.43124952 -0.327499208
#>  [5,]  0.720531516  0.413200526  0.41185420  0.264381334
#>  [6,] -0.110833629  0.030281813  0.13578939  0.051499418
#>  [7,] -0.164631642 -0.077873616  0.14604669  0.015154377
#>  [8,] -0.021337946 -0.018296829 -0.06013695 -0.007087439
#>  [9,]  0.054925955 -0.120215897 -0.08984427 -0.123831610
#> [10,]  0.157037076  0.088416492  0.02596532 -0.007774028
#> [11,] -0.070221798 -0.001490018  0.03394384  0.005998131
#> [12,] -0.004271937  0.002477696 -0.15749129 -0.096120971
#> [13,]  0.047181167  0.035222086  0.08460399  0.092219104
#> [14,]  0.038392272 -0.191381578 -0.05760485  0.015769334
#> [15,]  0.008296690  0.053126723  0.08781135  0.025878133
#> [16,] -0.037294595  0.034765043  0.04137766 -0.039432183
#> [17,]  0.088729424  0.037166452  0.03210503  0.027026486
#> [18,]  0.035063708  0.019825758  0.04735301  0.096301934
#> [19,] -0.093961293 -0.007520130  0.05795774  0.007445224
#> [20,]  0.001195548 -0.013765399  0.03343962  0.041482055
#> [21,]  0.238216725 -0.023039828 -0.21329280  0.046229308
#> [22,]  0.116230668  0.212017215  0.02518727 -0.074834882
#> [23,] -0.020144900 -0.346323602 -0.04886117 -0.137742386
#> [24,]  0.143911978  0.067084364  0.08767050  0.162202807
#> [25,]  0.305073182  0.083063489 -0.12473803  0.147946079
#> [26,] -0.083237175  0.239212721  0.16578926 -0.439142215
#> [27,] -0.279985959 -0.569063410 -0.02256594  0.011346731
#> [28,] -0.092655634 -0.547203699 -0.65444739 -0.428541655
#> 
#> , , 3
#> 
#>               [,1]         [,2]          [,3]         [,4]         [,5]
#>  [1,] -0.113157967 -0.195535640 -0.2632024506 -0.034346663  0.157520658
#>  [2,] -0.037302692  0.045084612  0.2556962663 -0.116061814  0.401435971
#>  [3,]  0.335582645 -0.085439365 -0.1375014587  0.107309871  0.076123501
#>  [4,] -0.247173473 -0.089708257 -0.1046347664 -0.307223980 -0.181000531
#>  [5,] -0.251754818  0.078100126  0.0072649512 -0.317592008 -0.359594649
#>  [6,]  0.109164578 -0.111782358  0.0054534097  0.071616497  0.061750178
#>  [7,]  0.104576871  0.211130697 -0.0378853090 -0.072427043 -0.007284986
#>  [8,]  0.296326060 -0.101950959 -0.1359297693 -0.020195385  0.092024634
#>  [9,] -0.003690886  0.070000327  0.0374705324 -0.245938941 -0.155784443
#> [10,] -0.099359756 -0.160873154 -0.0454560408 -0.006985868  0.005025651
#> [11,]  0.083612741  0.184434586 -0.0107291658  0.031478539  0.006484915
#> [12,] -0.006561232 -0.107924948  0.0705425655  0.014013062  0.092209265
#> [13,] -0.039612790 -0.035309261 -0.1158724190 -0.101650208 -0.163150416
#> [14,] -0.063214165  0.087579657  0.0719892803 -0.067695080  0.076574186
#> [15,]  0.122232280 -0.080358385 -0.0809227938  0.150600771  0.082362923
#> [16,]  0.063942078  0.009353434 -0.0241825688 -0.095309609 -0.010720707
#> [17,] -0.112337449 -0.118162457 -0.0119681530 -0.023226963 -0.027696626
#> [18,] -0.119512793  0.069972763  0.0004086644 -0.099617682 -0.153101263
#> [19,]  0.040866559  0.054028605  0.0924245922  0.138100777  0.095954462
#> [20,] -0.214200019  0.024228783 -0.0036481249 -0.109463475 -0.137300820
#> [21,]  0.029247422  0.285704383  0.0167952080 -0.218959406 -0.096379921
#> [22,] -0.154492945 -0.155619535 -0.0951526315 -0.050608070  0.004477367
#> [23,]  0.185719751 -0.236413482 -0.0733287917 -0.037575494 -0.106860055
#> [24,]  0.021856064  0.200488223 -0.2262039306 -0.097373197  0.009831591
#> [25,]  0.120718209 -0.136282451 -0.1477733588 -0.364247270 -0.244202523
#> [26,]  0.027147674  0.098396380  0.0420905832  0.408058379  0.124999086
#> [27,] -0.360870629  0.518016506 -0.1980616480 -0.267396029 -0.276263917
#> [28,]  0.015536724 -0.130749016 -0.0776587529 -0.287036412  0.064547500
#>               [,6]         [,7]        [,8]          [,9]
#>  [1,] -0.247946802 -0.092204187 -0.26647468 -0.0007105184
#>  [2,]  0.430299377  0.218752873  0.21343902  0.2108208345
#>  [3,]  0.114757467 -0.013181480 -0.13093249 -0.2566280040
#>  [4,] -0.127648321  0.063005499  0.47995633  0.3464082567
#>  [5,] -0.134315593  0.146131063  1.11395427  0.6460584509
#>  [6,]  0.057704085 -0.034179596 -0.15293764 -0.0453487998
#>  [7,] -0.009916672  0.312491133  0.25717887  0.1664267799
#>  [8,] -0.047655676 -0.016083109 -0.02982382 -0.0347488927
#>  [9,]  0.094330912  0.093516787  0.11086631  0.0971452302
#> [10,] -0.036949119 -0.119298993 -0.01654873  0.0017853516
#> [11,] -0.098830739 -0.071269517  0.02947344 -0.0468962212
#> [12,]  0.018977741  0.055236449  0.01313741  0.1126901325
#> [13,] -0.099127392 -0.002688371  0.07858174 -0.0071208612
#> [14,]  0.261702411  0.188527459  0.01547724  0.0329604630
#> [15,] -0.019737801 -0.030873150 -0.12607418 -0.0765415454
#> [16,] -0.116901166 -0.147078155 -0.01835881  0.0041496798
#> [17,] -0.035550508 -0.002699195 -0.09378528  0.0065001791
#> [18,]  0.033899152 -0.004234197 -0.02668322 -0.0520551146
#> [19,] -0.047331368 -0.107559098 -0.06609708 -0.0205329996
#> [20,]  0.130068607  0.109718746  0.05223066  0.1577226839
#> [21,] -0.063617811 -0.074315374 -0.10162692  0.0118954911
#> [22,] -0.067867560  0.018363030  0.01216340  0.0448778037
#> [23,] -0.040072401 -0.211538636 -0.10328252 -0.0450155950
#> [24,]  0.117989372  0.306378351  0.15317066  0.0200406264
#> [25,]  0.045596681 -0.025829699  0.21240235  0.0256744574
#> [26,] -0.460369280 -0.080379966  0.15178619 -0.2299483815
#> [27,] -0.674107513 -0.581267879  0.51560730  0.0327747228
#> [28,]  0.186605270 -0.195888537 -0.14073149 -0.2106358096
#> 
#> , , 4
#> 
#>               [,1]        [,2]         [,3]         [,4]          [,5]
#>  [1,] -0.063921323 -0.26105823 -0.090209824  0.017008720 -0.0540210559
#>  [2,] -0.373800301  0.51669516  0.080023744 -0.671134525 -0.3596383770
#>  [3,] -0.169499173  0.02512983  0.073140857  0.187269571  0.0175244234
#>  [4,] -0.023839396 -0.10369195  0.129363991 -0.165770965 -0.0663205755
#>  [5,]  0.162705700  0.30092189 -0.272012717 -0.602281373 -0.0343656166
#>  [6,]  0.013539604 -0.06370505  0.012552852 -0.122230565 -0.1665466606
#>  [7,] -0.042251983  0.11888757 -0.429351190  0.009041296  0.1036864841
#>  [8,] -0.077382169  0.01802112  0.140029438 -0.010186937 -0.0182273840
#>  [9,] -0.049153716  0.10215020  0.064813423  0.118382805  0.1315630639
#> [10,] -0.104141600  0.26190303  0.043464852 -0.011466553 -0.0185052888
#> [11,]  0.169890031 -0.16583105  0.036228345  0.035977238 -0.0046769857
#> [12,]  0.033891820  0.01820138  0.032644181 -0.039659258  0.0197399135
#> [13,]  0.186648991  0.09103299 -0.339710154 -0.141594873  0.1436519142
#> [14,] -0.427171145 -0.25702802  0.126389033  0.201207172 -0.0386546464
#> [15,]  0.174538115 -0.06794245 -0.087602926 -0.222251206 -0.0245547563
#> [16,] -0.040618635 -0.07218652  0.005418293  0.084292278  0.0111322229
#> [17,]  0.108686342  0.13482828  0.088973188 -0.097897534 -0.0084538438
#> [18,] -0.056246198 -0.16647365 -0.036846480 -0.015107034 -0.0003808958
#> [19,] -0.073030800 -0.02623943  0.031492202 -0.054565317 -0.0183733548
#> [20,] -0.093545391 -0.22026282 -0.033427164  0.044952945  0.0896901027
#> [21,] -0.041140313  0.01354366  0.136490412  0.280974610  0.0181296509
#> [22,]  0.003328131  0.02191698 -0.182019258 -0.291346837 -0.1790272950
#> [23,] -0.112209210 -0.02562856  0.053284963  0.132728076  0.1801527882
#> [24,] -0.198601287 -0.29852236 -0.004752819 -0.196085443  0.0823208066
#> [25,] -0.052131976 -0.09308227 -0.068803394 -0.000493528  0.0016532366
#> [26,] -0.023703321 -0.47701652 -0.120313817 -0.107666525  0.0013715438
#> [27,]  0.150594927 -0.08405844 -0.541619531  0.053544662 -0.1222303971
#> [28,] -0.299442865  0.20893600  0.483613302  0.307866272  0.2594571337
#>               [,6]         [,7]          [,8]          [,9]
#>  [1,] -0.180695250  0.407703208  4.264752e-01  0.4579916512
#>  [2,]  0.226285622  0.574199515  6.320106e-01  0.4508143452
#>  [3,] -0.124212867 -0.020696611 -5.762249e-02 -0.0920851652
#>  [4,]  0.143393236  0.014468537 -5.338161e-02 -0.2575056289
#>  [5,]  0.121270728 -0.596714305 -4.817309e-01 -0.5043460655
#>  [6,] -0.110765784  0.098721609  5.166785e-02  0.0189482716
#>  [7,]  0.051803576 -0.192741064 -3.207780e-01 -0.2075372972
#>  [8,] -0.088750614 -0.031635051  1.387497e-02 -0.0521149381
#>  [9,] -0.014856436  0.044733778 -8.590463e-03  0.0290928861
#> [10,]  0.022265322  0.018470837 -7.705537e-03  0.0098667707
#> [11,] -0.010463733  0.024004522  3.104732e-02  0.0721738760
#> [12,]  0.021234766  0.010732353  4.014043e-02  0.0077937759
#> [13,] -0.005536677  0.125350889  1.800753e-01  0.0780422294
#> [14,] -0.054599327 -0.155582170  3.469367e-03  0.0057989935
#> [15,]  0.007233049 -0.073862983 -4.606318e-02 -0.0421724518
#> [16,]  0.008862341  0.066651521  4.284744e-06  0.0547791130
#> [17,]  0.009957120  0.068225363  2.464069e-02 -0.0295590401
#> [18,]  0.054679372  0.029757362 -7.975653e-03 -0.0461039799
#> [19,]  0.011341337  0.002687492 -4.689847e-02  0.0749318796
#> [20,]  0.091397636 -0.025011976  1.213202e-02 -0.0202040779
#> [21,] -0.125751363  0.082843468  5.014110e-02 -0.0399502708
#> [22,] -0.007113323  0.086809814  1.594776e-01  0.1048465996
#> [23,] -0.033600914  0.027625752  1.417741e-01 -0.0006913416
#> [24,] -0.035621399 -0.157026011 -6.023204e-02  0.0460429566
#> [25,] -0.060635028 -0.110688024 -1.167542e-02 -0.0215608333
#> [26,]  0.254011537  0.016315354  1.078862e-01  0.6358047922
#> [27,]  0.121801677 -0.030786585 -1.128875e-01  0.3103243995
#> [28,]  0.069167134 -0.410969712 -1.090120e-01 -0.3135065021
#> 
#> , , 5
#> 
#>               [,1]         [,2]         [,3]         [,4]        [,5]
#>  [1,] -0.020665925  0.315259160  0.178021679  0.190231787  0.35907391
#>  [2,] -0.032008481 -0.314037051  0.270005920 -0.272201823  0.26267875
#>  [3,] -0.056591532  0.177556730 -0.085341074  0.104491928  0.01961517
#>  [4,] -0.229175977 -0.148329494 -0.291884354 -0.149257829  0.08500398
#>  [5,] -0.076850870  0.049594277 -0.018924821  0.045616310 -0.31493711
#>  [6,]  0.137486519  0.166764997  0.014806366  0.061320478 -0.04451031
#>  [7,]  0.295310866  0.053255873 -0.775534797 -0.354336299  0.01674440
#>  [8,]  0.175228250 -0.083230075  0.007261760  0.060875426  0.10120122
#>  [9,]  0.058050616 -0.106898458  0.068578194 -0.068280588  0.05632584
#> [10,] -0.103440431 -0.079519653  0.060131319  0.019802019  0.06014480
#> [11,] -0.003035877  0.058652941 -0.006415262  0.025276212  0.01018698
#> [12,] -0.014277599  0.084950802  0.134950405 -0.003592431  0.03435978
#> [13,]  0.135115554  0.053328993  0.141500589  0.200244968  0.01746571
#> [14,] -0.042487024 -0.385981952 -0.111698153 -0.001074029  0.10202516
#> [15,] -0.083494828  0.328472360  0.141827405 -0.078786502 -0.15050734
#> [16,]  0.066322316 -0.307205702 -0.033589436  0.017511067  0.07202522
#> [17,] -0.062680633  0.089650775  0.011362416 -0.086535505 -0.03675049
#> [18,] -0.054004219  0.056705694 -0.007341787  0.161388870  0.09121680
#> [19,]  0.015931424  0.179973683  0.075877460  0.085819856  0.11012680
#> [20,] -0.058120349 -0.007504018 -0.054424469  0.044742220  0.01519929
#> [21,]  0.211141321 -0.183424405 -0.275607645 -0.193386570 -0.06301908
#> [22,] -0.087581604 -0.231297078  0.178367713  0.075045042  0.19544957
#> [23,] -0.221193028  0.139444859 -0.243925031 -0.098641970 -0.01367671
#> [24,]  0.395255754  0.370341886  0.085575737 -0.015941167  0.02441714
#> [25,] -0.245002419  0.087085306  0.025080365  0.148470624  0.12301658
#> [26,]  0.026631794 -0.170097347  0.188928121  0.362184716  0.19043956
#> [27,]  0.109982889 -0.235980882 -0.019123467  0.246124396 -0.03955801
#> [28,]  0.187862245  0.568553013  0.264480444  0.127455273  0.48580298
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,] -0.451162916 -0.22671858  0.118007718  0.320999416
#>  [2,]  0.641454110  0.01255801 -0.022014775 -0.195517950
#>  [3,] -0.027618636 -0.05703937  0.115667601  0.089726900
#>  [4,]  0.083906882  0.17906840 -0.275348688  0.079447953
#>  [5,]  0.144069276 -0.08073728 -0.649409756 -0.147110597
#>  [6,]  0.115892782  0.07652842  0.016654370  0.064306760
#>  [7,]  0.028821334 -0.21202959 -0.274602168  0.029612163
#>  [8,] -0.065523247 -0.09696767 -0.031393435  0.048476580
#>  [9,] -0.009981518  0.08185153 -0.061611069 -0.095839991
#> [10,]  0.075413780  0.08604236  0.057572812  0.059062166
#> [11,] -0.054818116 -0.08981928 -0.005949536  0.001721359
#> [12,]  0.026690467  0.09795390  0.073418752 -0.043019272
#> [13,] -0.146020348 -0.06757653 -0.057479660 -0.049511715
#> [14,] -0.029385748 -0.03588857  0.080336187  0.049847046
#> [15,] -0.023969802 -0.03235122 -0.065583477  0.005529811
#> [16,]  0.095267624 -0.01035950 -0.014185814 -0.014713458
#> [17,]  0.045401164  0.06310334  0.070429955 -0.025553688
#> [18,] -0.078943208  0.03483667  0.005530221  0.035526552
#> [19,] -0.016676721 -0.07749729  0.033631287  0.044394231
#> [20,] -0.068754215 -0.02600594  0.086674269 -0.033603798
#> [21,]  0.147187625  0.09274953  0.032012297  0.007253502
#> [22,]  0.038508919 -0.05171267  0.150567973  0.133177293
#> [23,] -0.056383953  0.03622294 -0.138468184 -0.078724052
#> [24,] -0.058313922 -0.04798380 -0.195282650 -0.066443547
#> [25,]  0.076824181  0.11528937 -0.071851647  0.166552192
#> [26,]  0.101093564  0.03783042 -0.125159561  0.381434496
#> [27,]  0.052146176  0.01442000 -0.557141462  0.030475422
#> [28,]  0.192301672 -0.15808763 -0.046404685 -0.182730272
#> 
#> , , 6
#> 
#>              [,1]        [,2]        [,3]          [,4]         [,5]
#>  [1,]  0.10048728 -0.01296115  0.29079446  0.1130996471 -0.080441699
#>  [2,] -0.21536383 -0.13109878 -0.40365513 -0.2799934760 -0.177861368
#>  [3,] -0.21633377 -0.05199650  0.04239407 -0.0241425274  0.066118578
#>  [4,] -0.12738145 -0.35699017 -0.26571868 -0.1639131548  0.022298021
#>  [5,]  0.18892840 -0.43096303  0.06734326  0.5901962465  0.476839674
#>  [6,] -0.21737858  0.11369047  0.04855803 -0.0431140151  0.053143601
#>  [7,] -0.12403665 -0.14948787 -0.49459220 -0.0805078471  0.008046006
#>  [8,]  0.36854210  0.19066510  0.11608910 -0.0040923534  0.054384791
#>  [9,] -0.22112663 -0.07872346 -0.04130928  0.0298958189 -0.086665987
#> [10,]  0.13770726 -0.09890250  0.02933664  0.0517155496  0.046755597
#> [11,] -0.14999643 -0.06106245 -0.07211751 -0.1017932448  0.029023200
#> [12,]  0.15312458  0.21796968  0.05874083  0.1043841587  0.039385127
#> [13,] -0.08609994 -0.08428465 -0.12372653 -0.0076126633 -0.061361567
#> [14,] -0.10877815  0.11674355  0.39077084  0.1571144652 -0.018315277
#> [15,]  0.19131719  0.09903282 -0.05010131  0.0207762932  0.209532248
#> [16,] -0.08282390 -0.15466759  0.04086319  0.0209762534 -0.010157190
#> [17,] -0.08209811 -0.02471640 -0.02796529 -0.1093349570  0.071874540
#> [18,]  0.04381870  0.12949075  0.03927803 -0.0002711685 -0.017587875
#> [19,] -0.11386544 -0.08632937 -0.09410008 -0.1984168580 -0.029454585
#> [20,] -0.09154576  0.22926340  0.09757116 -0.0810742037 -0.116224333
#> [21,]  0.01943240  0.03085171  0.20188783 -0.0119153244  0.101251904
#> [22,] -0.04864591  0.12621724 -0.17168018  0.0028397103  0.116197871
#> [23,]  0.27179479 -0.24698421  0.08790754 -0.0065083358  0.128398112
#> [24,]  0.03751587  0.14467194  0.25459207  0.3155800798 -0.047264995
#> [25,]  0.22563614 -0.07667748  0.03289287 -0.0174200212 -0.198846808
#> [26,]  0.51684223  0.17666756 -0.28827991  0.1786404572  0.103438293
#> [27,] -0.07386299  0.08557330 -0.21212326  0.2665850136 -0.048934487
#> [28,] -0.46893235  0.34676161  0.10228237 -0.0750136524  0.298173721
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,]  0.207280468 -0.50539021 -0.309150337 -0.244701199
#>  [2,]  0.131847362  0.01404096 -0.117478522 -0.105133095
#>  [3,] -0.037007342 -0.09904356 -0.062830423  0.052346271
#>  [4,] -0.062073654 -0.29400366 -0.131950492 -0.286704719
#>  [5,]  0.029297517  0.42143719 -0.057245759 -0.130610546
#>  [6,]  0.142167037  0.14968875  0.109921941  0.192999028
#>  [7,]  0.104356965 -0.23647360 -0.606442460 -0.299063269
#>  [8,] -0.004300223 -0.03373399 -0.035497648 -0.062629067
#>  [9,] -0.031072128 -0.12075162 -0.061209893  0.050388279
#> [10,]  0.100748630  0.01606634  0.035467053  0.012253328
#> [11,]  0.045817600  0.04571797 -0.002101705  0.024536410
#> [12,] -0.090978069 -0.12287081 -0.054976947 -0.059440675
#> [13,] -0.050717231 -0.15071252  0.006600214 -0.035757988
#> [14,] -0.001075940  0.06319012  0.015751310  0.040401071
#> [15,]  0.056468557  0.09276739  0.025549670  0.081944857
#> [16,] -0.037025878 -0.04368084 -0.038198770 -0.007809796
#> [17,]  0.050401401 -0.02206721  0.059654340  0.137682446
#> [18,]  0.035936405  0.04879296  0.019788241 -0.058711968
#> [19,] -0.027162506 -0.02949978  0.054829859  0.026002698
#> [20,] -0.114091618  0.01343116 -0.041331354 -0.003973233
#> [21,]  0.193603289  0.07759404 -0.031335333 -0.111540890
#> [22,]  0.040496102 -0.04232566 -0.137610655  0.025346954
#> [23,]  0.076970881  0.13629388 -0.026411693  0.029731337
#> [24,] -0.271153290 -0.43595506 -0.031230680 -0.132301445
#> [25,] -0.065876845 -0.10070833 -0.174273143 -0.245205237
#> [26,] -0.040024687  0.03466117  0.244589334 -0.095574179
#> [27,]  0.392337998  0.41311707  0.227205894  0.239076393
#> [28,]  0.300827593 -0.06319728 -0.016102237  0.036772926
#> 
#> , , 7
#> 
#>               [,1]         [,2]         [,3]         [,4]        [,5]
#>  [1,] -0.577195573 -0.531861494 -0.385692444 -0.455219525 -0.35621256
#>  [2,] -0.001560893 -0.202723879  0.029204848 -0.205908988 -0.09877393
#>  [3,] -0.102349495  0.028633835 -0.162722181 -0.191330479 -0.14947447
#>  [4,]  0.110665593 -0.029256498  0.042156052  0.068675860  0.15448726
#>  [5,]  0.417471366  0.116097292  0.276266563  0.238029461 -0.08012891
#>  [6,]  0.075737142  0.263991467 -0.029894944  0.093353608  0.13872471
#>  [7,]  0.091649418 -0.045669405 -0.375179833 -0.132002233  0.10797713
#>  [8,]  0.185169626 -0.238760014  0.056171941  0.014760184 -0.01023126
#>  [9,]  0.071190188 -0.114186348 -0.088304708 -0.160029144 -0.15074922
#> [10,]  0.091017145  0.088841530  0.083958955 -0.047183492  0.06243306
#> [11,] -0.179466140  0.004628958  0.011640039  0.003558137 -0.01890824
#> [12,]  0.159248664  0.052471196  0.046518788  0.029823213  0.04946475
#> [13,] -0.006666688 -0.083673312 -0.044377064 -0.056618267 -0.02550399
#> [14,] -0.033772300  0.126029625 -0.073295320 -0.048984645 -0.04833694
#> [15,] -0.087945116  0.048072857 -0.044463387  0.081527583  0.04499116
#> [16,]  0.175478127  0.035096290  0.137795070 -0.067199749  0.01266653
#> [17,] -0.306679956  0.049274464 -0.036383107 -0.051974059 -0.03397904
#> [18,]  0.028304986 -0.213457662 -0.132041034 -0.084287341 -0.02167085
#> [19,] -0.099216171  0.109566922 -0.226374726 -0.030585398  0.08921313
#> [20,] -0.109705834  0.010435082  0.088169317 -0.006428278 -0.04027130
#> [21,]  0.175717555 -0.060250408  0.004230449 -0.011461321 -0.06145397
#> [22,] -0.219284473  0.245744554 -0.059040123 -0.172517867 -0.20368818
#> [23,]  0.161049343 -0.058542857  0.277996231 -0.157447493 -0.06109754
#> [24,]  0.115678483 -0.181688825 -0.095473615  0.108165578  0.10888675
#> [25,] -0.057871399 -0.369525608 -0.095988133  0.015512121 -0.09425384
#> [26,] -0.220035531  0.148835236 -0.385004929 -0.183022607 -0.16273962
#> [27,]  0.260051491  0.127894994  0.008907692 -0.105673007  0.04652656
#> [28,] -0.151005134 -0.216025258 -0.246909967 -0.175827410  0.20890865
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.345997880  0.019474790 -0.519365087  0.047529507
#>  [2,] -0.288143070 -0.226113895  0.171221294 -0.005694656
#>  [3,]  0.170931104  0.001012330 -0.175182833 -0.011653876
#>  [4,]  0.043205373  0.147645867  0.084736598  0.048617722
#>  [5,] -1.066681342 -0.449874722 -0.225198223 -0.504424927
#>  [6,]  0.137137733  0.044845606 -0.037464415  0.163798367
#>  [7,] -0.242017853 -0.312545771 -0.164956714  0.003970051
#>  [8,] -0.058188209 -0.076657723 -0.078269608 -0.123523950
#>  [9,]  0.074947481 -0.015003733 -0.076236101  0.010077564
#> [10,]  0.026491240  0.001332901  0.076957132 -0.009198095
#> [11,] -0.030821140 -0.034713594  0.023281831  0.024440452
#> [12,]  0.139849172  0.058763108 -0.088134129 -0.095081652
#> [13,]  0.034119376 -0.006532256  0.024293909  0.030081608
#> [14,]  0.001972555  0.073088585 -0.010551106  0.009292380
#> [15,]  0.084124581  0.046031575  0.025219358 -0.005373513
#> [16,] -0.042288382  0.003477533 -0.053721751 -0.008377303
#> [17,]  0.028061746 -0.009562665 -0.138434103 -0.058845332
#> [18,] -0.017936909 -0.092249727  0.026948362  0.144780670
#> [19,]  0.077158550  0.031832373 -0.051450967 -0.019430457
#> [20,]  0.017805950  0.065061819  0.005489865  0.049798935
#> [21,] -0.115524692 -0.168974208 -0.082420939 -0.013043520
#> [22,] -0.036501366 -0.105433840  0.066870825  0.136035919
#> [23,] -0.141969588 -0.109460761 -0.063142191  0.168037461
#> [24,]  0.057162664  0.106491771  0.027430173  0.021553097
#> [25,] -0.084458591 -0.108392195  0.090660088 -0.049203148
#> [26,] -0.211492182 -0.118739848  0.205203689 -0.077944218
#> [27,] -0.199596861  0.276440020 -0.072782193 -0.448841727
#> [28,]  0.351717682 -0.070037610 -0.300247757 -0.117437140
#> 
#> , , 8
#> 
#>               [,1]        [,2]        [,3]          [,4]         [,5]
#>  [1,] -0.202522375  0.12276738 -0.31323020 -0.1919672279 -0.376108938
#>  [2,] -0.071760977  0.01178647 -0.29176003  0.0866137145 -0.141829185
#>  [3,] -0.185382279  0.25283991  0.23415595  0.0792098529  0.116985651
#>  [4,] -0.092863136  0.14600146  0.07037444 -0.0730933919 -0.317903533
#>  [5,] -0.008594060 -0.58155198 -0.18256152 -0.3328397754 -0.644284934
#>  [6,] -0.071257684  0.14834684  0.17835940  0.2200659416  0.120724826
#>  [7,] -0.076039675 -0.43946811 -0.37444163 -0.4703169931 -0.243368496
#>  [8,]  0.023174293  0.14703003  0.30235931  0.0922477620 -0.044327316
#>  [9,]  0.037165703 -0.29446878 -0.26185020  0.0108575403 -0.011435778
#> [10,] -0.276155459 -0.02159301  0.08533168 -0.0239978076 -0.071513928
#> [11,]  0.238761764  0.22223438  0.10959887  0.0260350344  0.031044546
#> [12,] -0.119135593 -0.06056399 -0.10347160 -0.0415661125 -0.005152139
#> [13,] -0.161298148  0.02036661  0.02865816 -0.0919915561 -0.216397570
#> [14,]  0.079691763 -0.01991833 -0.13217462  0.0625291556  0.045775683
#> [15,]  0.006518304  0.14086333  0.07865916 -0.1266470934 -0.017653111
#> [16,]  0.183745943 -0.14182922 -0.05812501  0.0793976197 -0.022230652
#> [17,] -0.167545756  0.09517050  0.01752097  0.0008379882 -0.013895987
#> [18,] -0.138536750 -0.06835705 -0.03865540 -0.0228601606 -0.031699640
#> [19,] -0.034226116  0.27343079  0.05918656  0.0388066441 -0.048542044
#> [20,] -0.169084443 -0.16006062  0.09141964 -0.1041214188  0.001289935
#> [21,]  0.042138067 -0.11291191  0.02331447  0.1463129626  0.055682905
#> [22,]  0.120702905 -0.01205168 -0.15545256 -0.0769790591  0.024874395
#> [23,]  0.006201514  0.01912303  0.24134187  0.1553563454  0.108540512
#> [24,] -0.135371923 -0.21729728 -0.11593385 -0.1898677644 -0.159137417
#> [25,] -0.309020162  0.10261752 -0.12413144  0.0104880130 -0.008648294
#> [26,] -0.522215668  0.11426529  0.43434282  0.2166249781 -0.042385358
#> [27,]  0.713977108 -0.23458657  0.58479886  0.1701009755  0.136661841
#> [28,] -0.333533394  0.25961882  0.15138190 -0.0416520658 -0.023208799
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.075978092  0.482859368 -0.029281892 -0.135718446
#>  [2,] -0.131423522  0.136501932 -0.137519116  0.152820025
#>  [3,]  0.136759254  0.052149780 -0.124931554  0.160206874
#>  [4,] -0.208362447  0.094941209  0.076211158 -0.050602778
#>  [5,] -0.704935273 -0.185425874 -0.007412065  0.584320002
#>  [6,]  0.002597016 -0.050588132 -0.048965800 -0.076280648
#>  [7,] -0.082716329 -0.036445705  0.067156528  0.037059319
#>  [8,] -0.043739342  0.036672930 -0.018511307  0.101308063
#>  [9,] -0.059397953  0.020761181 -0.032766165  0.063596426
#> [10,] -0.114053381 -0.047509154  0.002141501  0.033793099
#> [11,]  0.083006359  0.007686283  0.035691954 -0.057919450
#> [12,]  0.001292877 -0.017152435  0.019757022  0.002882382
#> [13,] -0.005720079  0.068171421 -0.015831620  0.040678115
#> [14,]  0.109634745 -0.020790311 -0.030934071 -0.105622401
#> [15,] -0.064311312 -0.151020973 -0.078887539  0.104443980
#> [16,] -0.016163681  0.013934877 -0.005064452 -0.028464563
#> [17,] -0.002491631  0.033952168  0.009354289  0.053034121
#> [18,]  0.028244573  0.004728719 -0.020459523 -0.010538410
#> [19,]  0.084375516  0.005792092  0.024081028  0.058781507
#> [20,]  0.059309168 -0.029154927  0.018508259 -0.014436956
#> [21,]  0.056509331  0.013813813 -0.016042315 -0.056355245
#> [22,]  0.218049031  0.130738014 -0.139193588 -0.087621116
#> [23,]  0.018429211 -0.065522087  0.007585648  0.204134350
#> [24,] -0.097276319  0.186762080  0.124125053  0.130700098
#> [25,]  0.187919053  0.363207948 -0.207910886  0.227677831
#> [26,] -0.084132323 -0.117022928 -0.233289543 -0.110573650
#> [27,] -0.546125877 -0.261138205  0.252594930  0.017062041
#> [28,]  0.141928450  0.085154010 -0.513190611 -0.125124805
#> 
#> , , 9
#> 
#>               [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,]  0.543282530  0.550989804  0.57066219 -0.058386265 -0.316184756
#>  [2,] -0.176044189  0.592721309 -0.12451735  0.004251769 -0.253363036
#>  [3,]  0.290018121  0.113317613  0.04842250 -0.153632459 -0.032500517
#>  [4,]  0.060571124 -0.178530644 -0.23785533  0.272700477  0.099254957
#>  [5,]  0.436198300 -0.147544686  0.24128129  0.134448142  0.317870330
#>  [6,] -0.099051271 -0.112599038 -0.19401917 -0.070300975 -0.024062981
#>  [7,]  0.172727878 -0.049400107  0.32553109 -0.150748951 -0.057702019
#>  [8,]  0.202162743 -0.018201933 -0.08123603 -0.040391698  0.036023838
#>  [9,] -0.114813061  0.258846888 -0.05188041 -0.074484288 -0.015635814
#> [10,]  0.118900268 -0.197735489  0.02369639 -0.049091981  0.091132306
#> [11,] -0.111974226 -0.024129068  0.04512946  0.163569903 -0.035361293
#> [12,]  0.125473573  0.087949321  0.01193155  0.011174859  0.132341069
#> [13,] -0.043227085  0.142657646  0.02300865 -0.033872259 -0.074628815
#> [14,] -0.008764308 -0.080462443 -0.01671325  0.024769291  0.061296319
#> [15,] -0.030428288 -0.158177191 -0.03934138  0.060182252 -0.012958856
#> [16,] -0.039206020  0.115250167  0.02580432 -0.064028997  0.009523167
#> [17,]  0.158507406  0.155209538  0.06647678  0.117901979 -0.027326304
#> [18,]  0.038693931 -0.102904474  0.03418431  0.020040664  0.095531461
#> [19,] -0.106268554 -0.029949700  0.03589212  0.059772213 -0.060681361
#> [20,]  0.053789415  0.031317906  0.03329812 -0.009149675  0.078571340
#> [21,]  0.174812046 -0.193484018  0.01783586 -0.112243825 -0.022085561
#> [22,] -0.168474631 -0.025216711  0.02256165  0.091552992  0.081275834
#> [23,]  0.206294550 -0.271322622 -0.01855167 -0.011392860  0.013898761
#> [24,] -0.123642994  0.005011766 -0.04953734 -0.111086620 -0.071517567
#> [25,]  0.217839486 -0.069281444 -0.36706635 -0.400650590 -0.204486528
#> [26,] -0.021196156 -0.155647249  0.07034228  0.163345940  0.186077468
#> [27,]  0.034253293 -0.227360844  0.48424568  0.324809655  0.004343691
#> [28,]  0.166781483  0.081122426 -0.29106839 -0.345668133 -0.133072190
#>                [,6]         [,7]          [,8]         [,9]
#>  [1,] -0.6441818502 -0.072596553 -0.0843565016 -0.422370164
#>  [2,] -0.3482508892  0.144586015  0.1999434558  0.055915896
#>  [3,] -0.1011565405 -0.066864876 -0.0351239607  0.032910510
#>  [4,] -0.1706010279 -0.194198682 -0.1403992803 -0.165523089
#>  [5,]  0.2174051415 -0.219942663  0.2466137319  0.469473357
#>  [6,] -0.2357298459 -0.088039606  0.0329829955 -0.168528380
#>  [7,]  0.1558326104  0.266604743  0.1688542767  0.376144820
#>  [8,] -0.1050427475 -0.017128811 -0.0088526361  0.003646229
#>  [9,]  0.0349599034  0.117547075  0.0846260413  0.055531308
#> [10,]  0.0405619657  0.084364910  0.0013433016 -0.061132464
#> [11,] -0.0443522968 -0.038753711 -0.0289998194  0.045411764
#> [12,]  0.0314432465  0.024764103 -0.0021706260 -0.100415640
#> [13,]  0.0598929857  0.107378854 -0.0367052475 -0.093705271
#> [14,] -0.1133348761 -0.163397861  0.0155844811 -0.041903155
#> [15,] -0.0311916734 -0.068836982 -0.0171333807 -0.045940549
#> [16,] -0.0072035805 -0.007101919  0.0124737500  0.037279157
#> [17,] -0.0007947747 -0.005157280  0.0008202687 -0.027382900
#> [18,] -0.0223601101 -0.009635070  0.0524984911 -0.029465951
#> [19,]  0.0268508704 -0.009049738 -0.0067261600 -0.058848523
#> [20,]  0.0809800572 -0.047836286  0.0349850915 -0.023154783
#> [21,] -0.1414836368 -0.017936217  0.0548755084 -0.161406187
#> [22,]  0.1596955568  0.166484002  0.0496341643  0.124710460
#> [23,] -0.1899362496 -0.268107797 -0.1224338554 -0.151905392
#> [24,]  0.1588717205  0.062257089  0.0685583373  0.193398324
#> [25,] -0.0668757782 -0.096933267  0.0367956808 -0.140036744
#> [26,]  0.4983704148  0.303806196  0.0270192556  0.272507458
#> [27,] -0.2043391514  0.027702518 -0.0609337345 -0.343041080
#> [28,]  0.0179963512 -0.175919373 -0.1922120451 -0.276525483
#> 
#> , , 10
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.321437025 -0.23289685 -0.007891734 -0.140931377 -0.357072333
#>  [2,]  0.045866568 -0.01836233  0.148421472 -0.198003645 -0.235630768
#>  [3,]  0.175649502  0.23085651  0.143051883  0.042884365  0.035456831
#>  [4,]  0.038264564 -0.05192740 -0.038517209 -0.190699912 -0.255402333
#>  [5,] -0.330683290  0.18886982 -0.473163645 -0.391645854  0.110963578
#>  [6,]  0.006927573  0.06169767  0.176798411  0.076035744  0.065068533
#>  [7,]  0.091220062 -0.31423612  0.123349021  0.117681070 -0.038363885
#>  [8,]  0.025842893  0.03084850  0.055964401 -0.084402060  0.012607373
#>  [9,] -0.083891379  0.07770092 -0.204192464 -0.078448963  0.006656235
#> [10,]  0.008764976 -0.11734173  0.161053613  0.112230236  0.034770795
#> [11,] -0.054836648  0.13204408 -0.045158111 -0.056214516 -0.025938719
#> [12,]  0.201083665  0.03323737  0.055151802 -0.032086011 -0.007037170
#> [13,] -0.189697463 -0.13431113 -0.032299985  0.067089308  0.225502180
#> [14,] -0.161890148  0.06201566  0.049213597  0.127321991 -0.006304958
#> [15,]  0.210514133 -0.05277393  0.107711353 -0.063088733 -0.069655434
#> [16,]  0.071747163 -0.05443779 -0.038615207 -0.048013707 -0.012621527
#> [17,]  0.026143144  0.19491944  0.161775393  0.021564217 -0.008440977
#> [18,] -0.160754008 -0.04923607 -0.030070906 -0.034791211 -0.040893722
#> [19,] -0.086408647 -0.07653902 -0.021369612  0.032666082 -0.063538458
#> [20,]  0.020448284  0.03592161  0.143363796  0.149979631  0.144742523
#> [21,] -0.058580827  0.14727753 -0.050266267  0.098938852  0.211207675
#> [22,] -0.213803385  0.12350827 -0.005777798 -0.041903434 -0.161747587
#> [23,] -0.208835848 -0.15283161  0.209002375 -0.002638536 -0.056153573
#> [24,]  0.173478651 -0.02221404 -0.049185743  0.015243333  0.032593549
#> [25,] -0.214231277  0.30987470 -0.164769263 -0.070557706  0.091761741
#> [26,]  0.004204756 -0.03244609 -0.276263811  0.026069688 -0.284107774
#> [27,]  0.200141912 -0.38664835 -0.440775740  0.343467374  0.107322066
#> [28,] -0.055119967  0.09748056  0.172398392 -0.051749142 -0.089776290
#>               [,6]         [,7]          [,8]         [,9]
#>  [1,]  0.184226612  0.171845885  0.1778023366 -0.349236760
#>  [2,]  0.412734911  0.025789578 -0.1759034189 -0.629671115
#>  [3,] -0.039117549 -0.076961034  0.0463642898  0.100493701
#>  [4,]  0.135845013  0.175825470 -0.0510195301 -0.035284170
#>  [5,]  0.273590481  0.537532815  0.1940882138  0.536119937
#>  [6,]  0.054867136 -0.054065573  0.1197081897 -0.196627295
#>  [7,] -0.232900589  0.222905847 -0.0190646639 -0.077388792
#>  [8,] -0.004279657 -0.016158026 -0.0291648148 -0.035405065
#>  [9,]  0.029620551  0.118712468 -0.0005086159  0.070946196
#> [10,]  0.023233603 -0.031705839  0.0229012809  0.054044491
#> [11,]  0.109680352  0.138142471 -0.0034239314 -0.034517443
#> [12,] -0.040522827 -0.013281267  0.0233123869  0.006274176
#> [13,]  0.240478855  0.263534151 -0.0154198540  0.073053737
#> [14,] -0.255179600 -0.043653465  0.1091286354  0.068149512
#> [15,] -0.003637255  0.066607646  0.0267223312 -0.066437505
#> [16,] -0.036238195 -0.159065110 -0.0074948793  0.018561009
#> [17,] -0.006939838  0.004516262  0.0374305469 -0.001671738
#> [18,] -0.060768462 -0.016403064  0.0863351347  0.082353332
#> [19,]  0.081930886  0.047636875  0.1892440166  0.058316791
#> [20,] -0.144255499 -0.116483907  0.0765046467  0.039134574
#> [21,] -0.069704357  0.084875200 -0.0354118774  0.042024333
#> [22,] -0.022541893 -0.013992569 -0.0466030661 -0.010585895
#> [23,] -0.192964826 -0.057487387  0.0027617370  0.029967868
#> [24,] -0.103572190 -0.157390840  0.0220478049  0.070835838
#> [25,] -0.105349682 -0.100749283 -0.1270869666 -0.065396773
#> [26,] -0.115348216  0.030676521  0.2492253327  0.028641578
#> [27,] -0.247096080  0.333018235 -0.1138893524 -0.077537470
#> [28,]  0.221236582  0.012418726 -0.4932291498 -0.044923722
#> 
#> , , 11
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.439711366 -0.278524187 -0.174861592 -0.528303261 -0.422819960
#>  [2,] -0.293855547  0.139055194 -0.248911222 -0.308570882 -0.220442012
#>  [3,]  0.133315965 -0.134366902 -0.135869056  0.077359883 -0.013780464
#>  [4,]  0.323916785 -0.060213161  0.221375827  0.094397958  0.073745453
#>  [5,] -0.260667638  0.439171261  0.203715175  0.190129742  0.312391632
#>  [6,] -0.067693497  0.103995880 -0.076230687 -0.155988843 -0.258304954
#>  [7,]  0.029935406 -0.237143569  0.368535579  0.224219251  0.017468382
#>  [8,]  0.294042465 -0.008469341 -0.107305198  0.119114396  0.104762989
#>  [9,] -0.400736346 -0.038243911 -0.048630836 -0.203273645  0.035697585
#> [10,]  0.108379944  0.102816593  0.036172612 -0.077123155 -0.053018682
#> [11,] -0.047447509 -0.058636767  0.060537034  0.047602189 -0.009719047
#> [12,]  0.199553647  0.032593418 -0.056463137 -0.036413656 -0.052822048
#> [13,] -0.138816430  0.177808474  0.097004512  0.243261406  0.180903343
#> [14,]  0.205726367  0.077769660  0.137585137 -0.210363832 -0.098351514
#> [15,] -0.105738384  0.120992093 -0.007853241  0.029799167 -0.078728668
#> [16,]  0.066939961 -0.244881495 -0.118218670 -0.012761835  0.023441502
#> [17,] -0.103952067 -0.151464884 -0.025783961 -0.026798311 -0.040036119
#> [18,] -0.005912300  0.036069829 -0.006340185 -0.008890331  0.022502770
#> [19,] -0.012446958 -0.000766345  0.035777828 -0.087211847 -0.176162107
#> [20,] -0.001706764 -0.040821747  0.109549967  0.056416892  0.061545211
#> [21,]  0.058728973 -0.033626544 -0.080362484 -0.109305447 -0.083405845
#> [22,]  0.177554936  0.043447958 -0.139338978 -0.035467685 -0.012653711
#> [23,]  0.202996398 -0.028406331 -0.059876680 -0.006158160  0.115465047
#> [24,] -0.501831592 -0.017292481  0.148618009  0.095015750  0.218235068
#> [25,] -0.414131921  0.330559431  0.120638065  0.029036525  0.265825701
#> [26,]  0.114807689 -0.218330536 -0.045076804  0.240180456  0.069960665
#> [27,]  0.149981729  0.119144519  0.534137324  0.508942277  0.185870857
#> [28,] -0.295147168 -0.176611799  0.197112680 -0.063220914 -0.094832405
#>              [,6]          [,7]         [,8]        [,9]
#>  [1,]  0.69546295 -0.0730293681 -0.342140213 -0.24090331
#>  [2,]  0.08310322  0.2877029498  0.178659053  0.30029049
#>  [3,] -0.08921410  0.0042397961  0.035120216 -0.01650486
#>  [4,] -0.11684272 -0.2189737668  0.055397884  0.35354127
#>  [5,]  0.28674076 -0.1335408287 -0.836230023 -0.30226159
#>  [6,] -0.14459985 -0.0748221113  0.129819332  0.13360598
#>  [7,]  0.06707484  0.2362431071  0.126264087 -0.08392699
#>  [8,]  0.02340443  0.0187241542 -0.006130678  0.05737312
#>  [9,]  0.19044337  0.0650363739 -0.076731848 -0.09139306
#> [10,]  0.03898180  0.0002603404 -0.006608766  0.01768648
#> [11,] -0.12767051 -0.0816997997  0.020960342 -0.02459228
#> [12,]  0.02942318 -0.0360571291  0.014164276  0.04853429
#> [13,] -0.05938295  0.0275290105 -0.031587126 -0.06286250
#> [14,]  0.12787435 -0.0305812242  0.053386868  0.07286233
#> [15,] -0.04360745 -0.0252642244 -0.032684899 -0.01288450
#> [16,] -0.02991381  0.1174406778 -0.014898345 -0.07027882
#> [17,] -0.06763842 -0.1058551322 -0.015889052  0.04796006
#> [18,]  0.08666802  0.0576328246 -0.106256468 -0.09786285
#> [19,] -0.13817149 -0.0061114079  0.029572932  0.07188203
#> [20,]  0.08190288  0.0548115424  0.006046307 -0.04089488
#> [21,]  0.19333131  0.0295506776  0.063310680  0.09051765
#> [22,] -0.11420926 -0.0595236279  0.102618240  0.11533247
#> [23,]  0.33842166  0.2846017055 -0.073823556 -0.00888763
#> [24,]  0.04606155 -0.0456647145 -0.050552994 -0.11012399
#> [25,]  0.38757889  0.4052878845 -0.012355999  0.11780674
#> [26,] -0.22607350 -0.1532798908 -0.175241621 -0.23176608
#> [27,] -0.32114333 -0.0312381336 -0.124849318 -0.68277771
#> [28,] -0.01739033  0.0722348382 -0.044872835  0.04766158
#> 
#> , , 12
#> 
#>                [,1]        [,2]        [,3]        [,4]         [,5]
#>  [1,]  0.0639913117  0.04801573 -0.28182244 -0.09878277  0.012779316
#>  [2,] -0.1987273816 -0.26383517  0.50604262 -0.09596458 -0.030278413
#>  [3,]  0.0826358412  0.02852133  0.03576945  0.10837362  0.020091854
#>  [4,]  0.1441126648  0.24554395  0.16161314 -0.24721964 -0.064663484
#>  [5,] -0.1963404209 -0.07757312  0.55637327 -0.10738435 -0.037569578
#>  [6,]  0.0979246540  0.06234890  0.02991878 -0.02130247 -0.057870624
#>  [7,]  0.0318827921  0.08855683  0.06379574  0.21713463 -0.128955051
#>  [8,]  0.0003260586 -0.10774464  0.05767640 -0.01840147 -0.031523826
#>  [9,]  0.0255930665 -0.02067654 -0.05446840 -0.04284363  0.009385100
#> [10,] -0.1948863336  0.01104883 -0.11912612 -0.06757169 -0.111494574
#> [11,]  0.0776688731 -0.04207516  0.11365697  0.02159145  0.032220567
#> [12,] -0.0878594451  0.04431822  0.01852711  0.01567641  0.003559063
#> [13,] -0.0286588815  0.04726714  0.01899296 -0.09896378 -0.050444700
#> [14,]  0.2324671372  0.15112249  0.05512873  0.03387268 -0.108138293
#> [15,] -0.0382554729 -0.14428835 -0.13213321 -0.06381094 -0.027797975
#> [16,]  0.1075647398  0.22393072  0.08835006  0.06607653  0.053882302
#> [17,] -0.0407601536 -0.14028971  0.02485114 -0.05422752  0.035905419
#> [18,] -0.0761659397  0.07506374  0.05440764 -0.01244304 -0.038712573
#> [19,] -0.0259309135 -0.07664203 -0.10632623 -0.03852312  0.047024069
#> [20,] -0.0847398672  0.20531397  0.01655363 -0.08403047 -0.086140099
#> [21,] -0.0994239746 -0.10516783 -0.22981413 -0.25712373 -0.238745137
#> [22,]  0.0769675864 -0.16706705  0.10964860 -0.01358377 -0.002552010
#> [23,]  0.1791181089  0.20667718 -0.17601738 -0.22347310 -0.053193107
#> [24,]  0.0139140796  0.07763731 -0.16455852  0.11770354  0.091854435
#> [25,]  0.1656290628 -0.60637030 -0.02405428 -0.08832964 -0.089910740
#> [26,] -0.0189785850 -0.30032218  0.07284610 -0.02928963 -0.028225147
#> [27,]  0.1247777939  0.16012813  0.54996147  0.53641765 -0.182642710
#> [28,]  0.0785474559 -0.12875820  0.15472499 -0.03783267 -0.020491651
#>               [,6]          [,7]         [,8]         [,9]
#>  [1,] -0.094073520  0.1222868576 -0.008181123 -0.251549397
#>  [2,]  0.497852133  0.1558981199 -0.189007262 -0.300177130
#>  [3,]  0.001125214  0.0556790539  0.016767027 -0.030824676
#>  [4,] -0.222350332  0.0494607581  0.091400527 -0.408416392
#>  [5,]  0.284947709 -0.3176215505  0.304244410  0.157014075
#>  [6,]  0.113085816  0.0262014183 -0.008909244 -0.212129687
#>  [7,] -0.254226794  0.1200435462  0.134345043 -0.139807312
#>  [8,] -0.045029030 -0.0793297602  0.037938353 -0.023912139
#>  [9,] -0.138384578 -0.1116908855  0.054595282  0.121755599
#> [10,] -0.031453780  0.0064085521 -0.067050088 -0.002642536
#> [11,]  0.016582709 -0.0051232570  0.054604135 -0.012388374
#> [12,] -0.009151692  0.0119399333 -0.050241973  0.035820700
#> [13,] -0.041265975 -0.0167597126 -0.001108473 -0.055642307
#> [14,]  0.035171753  0.0555396984 -0.034425299 -0.071081700
#> [15,]  0.088971809  0.0510964131  0.063019224  0.083038909
#> [16,]  0.001880503  0.0883979004 -0.059342839 -0.013465557
#> [17,]  0.049252800  0.0324067610 -0.026015401 -0.005488094
#> [18,]  0.004437275 -0.0002370478  0.057450838  0.022636833
#> [19,] -0.094703743 -0.0491389431 -0.104054876  0.008005169
#> [20,] -0.009056886 -0.0193671981 -0.090770814 -0.026116741
#> [21,]  0.068236894 -0.1318100275  0.026867511  0.029027678
#> [22,]  0.096060805  0.0872139070 -0.110526668 -0.147682186
#> [23,] -0.063162051  0.0298259405  0.097521925 -0.142697028
#> [24,]  0.117860153  0.2465197385  0.143108587  0.185556951
#> [25,]  0.006354091 -0.0108023087 -0.019587510 -0.079259011
#> [26,]  0.204217303  0.0146636965  0.084330814  0.209192136
#> [27,]  0.089163470  0.3764390131 -0.093598562 -0.055607920
#> [28,]  0.158840127  0.2292209267 -0.202759476 -0.182607409
#> 
#> , , 13
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.117864713 -0.10853148 -0.112294757 -0.372483393  0.041720840
#>  [2,]  0.151125207 -0.15034442  0.076352283 -0.225339282 -0.045148565
#>  [3,] -0.152139232  0.01532588  0.042313465  0.077384920  0.075824273
#>  [4,]  0.124888402 -0.19531912 -0.042989106 -0.045056332  0.244187473
#>  [5,] -0.094887044 -0.03618492 -0.120457066 -0.324228854 -0.537777325
#>  [6,] -0.037379150  0.11987472  0.087589584  0.043573887  0.090302243
#>  [7,] -0.123814424 -0.02974523  0.142495070  0.067124769 -0.221791192
#>  [8,]  0.093131721  0.16972431  0.034053406  0.041880789  0.157317274
#>  [9,] -0.107673731 -0.29528898 -0.172060258 -0.109678000 -0.132108404
#> [10,] -0.146633302  0.12105282  0.108378000  0.032277429  0.008657747
#> [11,]  0.206412178 -0.01562726 -0.020340687  0.016827576  0.084295739
#> [12,] -0.033664785  0.07417977  0.046340874  0.032072431  0.021203146
#> [13,]  0.004741876  0.07001484  0.078582177 -0.041132017 -0.118715027
#> [14,] -0.022692194 -0.09129070 -0.194381750  0.003739251  0.079433814
#> [15,]  0.111835829 -0.01335108  0.033832050 -0.037574987 -0.070582040
#> [16,] -0.090418634 -0.06605027  0.005060559 -0.015879205  0.064471465
#> [17,]  0.086637467  0.01122088  0.039397431 -0.012081206  0.058241665
#> [18,]  0.155047649  0.02107074  0.024613760  0.068152989  0.051961951
#> [19,]  0.036887114 -0.04949711 -0.081178348 -0.140100551 -0.006482112
#> [20,] -0.005507529  0.08478178  0.010378337  0.112545431  0.002982439
#> [21,]  0.024890968 -0.20061740  0.006638551  0.328268893  0.359158923
#> [22,]  0.055318954  0.27791823  0.158448040 -0.062814851 -0.016153585
#> [23,] -0.209072672  0.15671512 -0.098135994  0.104689537  0.108695281
#> [24,]  0.286716212 -0.12241279  0.238298311 -0.195147567 -0.398796642
#> [25,]  0.205799446 -0.05433733  0.138422732  0.155155684  0.096590462
#> [26,]  0.084560249  0.33001358  0.319676726  0.037892623  0.096783854
#> [27,]  0.026336990  0.11658306  0.126074330  0.055946796 -0.496771142
#> [28,]  0.267874847 -0.41702827 -0.149305652  0.035622519  0.242650073
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.232326330  0.839916997 -0.348504223  0.125605359
#>  [2,] -0.017524036  0.129757460  0.041422995 -0.067452883
#>  [3,] -0.032847958  0.112909417  0.209781412 -0.030946431
#>  [4,] -0.034929510 -0.206051169 -0.169605404  0.070205912
#>  [5,] -0.219641913 -0.144618720 -0.128494623 -0.231455122
#>  [6,] -0.069800399  0.016192731 -0.020943441 -0.128372695
#>  [7,] -0.101125948  0.120152284 -0.043814719  0.137472527
#>  [8,] -0.108116818 -0.036988963 -0.036975604  0.067563027
#>  [9,] -0.013313691  0.135715662  0.198786985  0.081660536
#> [10,]  0.095616543  0.097548984  0.032702411 -0.011442360
#> [11,]  0.017153869 -0.034567296 -0.021834000 -0.080160404
#> [12,]  0.062552172  0.130135790  0.054861205  0.087438945
#> [13,] -0.016467620 -0.206553444  0.009903929 -0.016887431
#> [14,] -0.154905779  0.078657531 -0.022260747 -0.083974893
#> [15,]  0.061733587  0.083456783  0.019026599 -0.007901101
#> [16,]  0.107584603  0.109827453  0.052428904  0.039983385
#> [17,] -0.004697753 -0.009999964  0.010318226 -0.049871593
#> [18,]  0.064723453  0.057792531 -0.033832363 -0.024179985
#> [19,]  0.045398935  0.036311192 -0.027492514 -0.092425813
#> [20,] -0.004231133  0.011854673 -0.079440272 -0.086028127
#> [21,] -0.035722604  0.016968678  0.046956283  0.098896749
#> [22,] -0.042742982 -0.010345358  0.047181435 -0.082610688
#> [23,] -0.117825279  0.058039356  0.073964920 -0.059367602
#> [24,] -0.235881631 -0.234287576 -0.195408875 -0.033007308
#> [25,]  0.054666194  0.058250425  0.248921676  0.161644973
#> [26,]  0.066016436 -0.278507556 -0.247920566 -0.246253904
#> [27,] -0.147697183 -0.346226318 -0.649074935 -0.451367839
#> [28,] -0.006138299  0.018867200  0.122269019 -0.111855064
#> 
#> , , 14
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.160712433 -0.53804044 -0.135186680  0.226681456 -0.101864174
#>  [2,]  0.460599670 -0.28532853 -0.149288664  0.391380602  0.298508084
#>  [3,]  0.185413589  0.16516883  0.063773234 -0.053953264 -0.067610352
#>  [4,] -0.123836229 -0.02321265  0.121130116  0.089675194 -0.006604369
#>  [5,]  0.436921517  0.34877083  0.022645027  0.482094307  0.812646505
#>  [6,]  0.049256659  0.19823878 -0.175386171 -0.073600217  0.023778824
#>  [7,]  0.069601962  0.29697463  0.166289290 -0.026745125 -0.308677920
#>  [8,] -0.094839716  0.05807978 -0.046855837 -0.065120402 -0.018466948
#>  [9,]  0.152197861 -0.07631825  0.007307361 -0.027078449 -0.036825204
#> [10,]  0.171556781  0.01910767 -0.064024982  0.113750885  0.095423444
#> [11,] -0.172591265 -0.01351472  0.029175841 -0.045356008 -0.014620427
#> [12,]  0.089553474  0.19025929  0.055865805 -0.050540287 -0.162510011
#> [13,]  0.102257923  0.05487701  0.064737732 -0.005483322  0.100201024
#> [14,] -0.030928584 -0.14216337  0.091990485  0.174860182  0.144395909
#> [15,]  0.020675618  0.14191354  0.047891845 -0.003507294  0.061929308
#> [16,]  0.003425919 -0.10132154 -0.046632168 -0.045172247 -0.072677694
#> [17,]  0.133991533  0.16332902  0.152501354  0.083996118  0.135997262
#> [18,] -0.232543660  0.03345556  0.018555168 -0.093783022 -0.052964023
#> [19,]  0.181006627 -0.22324096 -0.145602446 -0.048354377  0.089782204
#> [20,] -0.169479302  0.30111548  0.131014801  0.077139523  0.085889052
#> [21,] -0.138411550  0.06879975  0.182020876  0.008443191 -0.119633063
#> [22,]  0.191350142 -0.13976668 -0.136333427 -0.001337082  0.003799650
#> [23,] -0.169624225 -0.03574866 -0.043276131  0.121357964  0.134155268
#> [24,]  0.037559186 -0.12796055 -0.120822047 -0.098588111  0.006309147
#> [25,]  0.041807476  0.19184832  0.354790922  0.224396788  0.150093510
#> [26,] -0.038058467  0.01244352 -0.047086759 -0.008850756  0.151003577
#> [27,]  0.029783546  0.68410041  0.195407878 -0.079711394 -0.361658878
#> [28,]  0.060288667 -0.15024565  0.200484132 -0.068963236 -0.089460919
#>                [,6]          [,7]          [,8]         [,9]
#>  [1,] -0.4806357285 -0.3375018285 -0.2772544164 -0.174327457
#>  [2,]  0.1566288482  0.3713771001  0.1136178855  0.589490634
#>  [3,]  0.2022289969  0.1004208159  0.1234059236 -0.007636868
#>  [4,] -0.0939876447 -0.0865029227  0.0041923908  0.207489563
#>  [5,]  0.1609316686  0.1807020608 -0.1912876921 -0.040715230
#>  [6,]  0.0143489513  0.0985192576  0.1056971058  0.019226937
#>  [7,]  0.0664374884  0.2512578404 -0.0515667525  0.144316972
#>  [8,] -0.0684851867 -0.0362405123  0.0465250831  0.158966061
#>  [9,] -0.0571704673 -0.1086418875 -0.0991460729 -0.124319748
#> [10,] -0.0934441327 -0.0290838618  0.0000367022 -0.009604201
#> [11,] -0.0198670874  0.0008096315 -0.0231270023 -0.028871581
#> [12,] -0.0478597333 -0.0286056339 -0.0262489181  0.024122329
#> [13,]  0.0558516815  0.0533704024  0.1396970711  0.086925537
#> [14,] -0.0273571016 -0.0465436670 -0.1324502888 -0.053720631
#> [15,]  0.0510741142  0.0989068006 -0.0657189482 -0.025625536
#> [16,]  0.0237546030 -0.0253370980  0.0891006585  0.007519030
#> [17,] -0.0003782627 -0.0259093987 -0.0504481864 -0.064395238
#> [18,]  0.0696643863  0.0827548795  0.1011495412 -0.019738034
#> [19,] -0.0446633887 -0.0809899586  0.0447293214 -0.015429477
#> [20,]  0.0858633520  0.0459212086 -0.1373744821 -0.175592689
#> [21,]  0.0689608478  0.0349705906  0.1573892747  0.185735868
#> [22,] -0.0381142948  0.0159682155  0.0174981527 -0.011791624
#> [23,]  0.3013017522  0.0499841349  0.2405728914 -0.102492471
#> [24,]  0.2529938292  0.2611959069  0.1227146265  0.093400352
#> [25,]  0.0699724330 -0.0304326070 -0.1645755350  0.223612588
#> [26,]  0.0157928092  0.1567812071  0.3809648516 -0.105726768
#> [27,] -0.1638384914  0.0472604246 -0.4464942241  0.102448846
#> [28,]  0.1159064751 -0.1042251170 -0.1610226894 -0.264616473
#> 
#> , , 15
#> 
#>               [,1]          [,2]        [,3]        [,4]         [,5]
#>  [1,]  0.004652917 -0.1150752329  0.10052616 -0.26538326 -0.328107049
#>  [2,]  0.124385979  0.0728555171 -0.16919067 -0.01819554 -0.021989299
#>  [3,]  0.266976226  0.0905623866  0.25765959  0.13926180  0.089050258
#>  [4,]  0.135204127 -0.0972679155 -0.01310234  0.22693819  0.061526941
#>  [5,]  0.360673182 -0.0431332979 -0.18862740  0.31767801  0.382257547
#>  [6,]  0.041200959 -0.0784535234  0.16728336  0.02171486 -0.092720623
#>  [7,] -0.083863212  0.2211449900 -0.30070907 -0.06240575  0.183338564
#>  [8,]  0.008358022  0.0217971555  0.06450275  0.09150572 -0.005258613
#>  [9,] -0.092830374 -0.0872752704 -0.05995586 -0.02648651  0.016466047
#> [10,] -0.142064313  0.0763315532 -0.12037013 -0.12584012 -0.153658640
#> [11,]  0.132327415  0.1097326714  0.06319488  0.12051327  0.106854606
#> [12,] -0.057577610 -0.0008760168 -0.16456866 -0.10780341 -0.068519927
#> [13,]  0.290739607  0.2171737976  0.19749874  0.05767771  0.050845725
#> [14,] -0.161822765 -0.1861791338  0.13661990 -0.04690432 -0.019082456
#> [15,] -0.093184850 -0.1809553286 -0.11252669  0.03635937 -0.015267144
#> [16,] -0.093188806  0.1220586848  0.12643273 -0.07519433 -0.127674783
#> [17,]  0.084858070  0.0326327353  0.01442906  0.02604836 -0.042863104
#> [18,]  0.068334766 -0.0842351665  0.01552814  0.10125486  0.069149668
#> [19,]  0.113041178 -0.0560721388  0.12464385  0.07678395 -0.047079942
#> [20,]  0.023324366 -0.0179339856  0.03395025 -0.03513640  0.008412434
#> [21,]  0.034760191 -0.2650374436 -0.11908853 -0.07058440 -0.188227581
#> [22,]  0.090947399  0.2946685818  0.03729836 -0.05712526 -0.036050742
#> [23,] -0.248783896 -0.1681613715  0.22186474 -0.11729008 -0.276453844
#> [24,] -0.186969322  0.0303444127 -0.02799831  0.02033715  0.258607693
#> [25,]  0.285803480 -0.1813649888 -0.06649014 -0.05250336 -0.034330271
#> [26,] -0.092512242 -0.3707582878 -0.32470575  0.06978683  0.036712829
#> [27,]  0.153175231  0.4271805557 -0.30057845 -0.21199162  0.165786307
#> [28,] -0.159488300 -0.2868874453 -0.16938596  0.25714347  0.073072310
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.283775991 -0.174150757 -0.812144183 -0.402103969
#>  [2,] -0.018896077  0.143175145  0.168639370  0.243400476
#>  [3,]  0.008274469 -0.153895762  0.325213517  0.006001351
#>  [4,] -0.147384807  0.012437053 -0.131802689  0.274806590
#>  [5,] -0.640925245  0.227464064  0.711454813  0.174709817
#>  [6,] -0.014455065 -0.091822843 -0.070137972  0.218527147
#>  [7,]  0.223748403  0.150169324 -0.169147315 -0.193395052
#>  [8,] -0.064759395 -0.094956008  0.082005337 -0.019905553
#>  [9,]  0.101556213  0.046791111  0.024239115 -0.058474703
#> [10,]  0.146688017  0.156732009 -0.048221190 -0.024232534
#> [11,]  0.028349820  0.046056295  0.027758801  0.012709403
#> [12,]  0.090337441  0.022855469  0.043387287  0.010260638
#> [13,] -0.083824307  0.034830625 -0.034067310 -0.009743706
#> [14,] -0.005618607 -0.183067417  0.022768550  0.048789927
#> [15,] -0.031619462 -0.013885250  0.062710355  0.003752272
#> [16,]  0.003134814 -0.032127783 -0.086279638  0.037235268
#> [17,] -0.105994895 -0.033582597  0.019386934  0.018425882
#> [18,] -0.062602103 -0.079423103 -0.143809313 -0.005223951
#> [19,]  0.025216322  0.009771984 -0.096844230  0.028377650
#> [20,] -0.012686329 -0.038395049  0.007788278  0.079402314
#> [21,] -0.246731901 -0.175022685 -0.007666638  0.106961864
#> [22,]  0.054282425  0.009482212 -0.102725768 -0.095459340
#> [23,]  0.003502191 -0.092970240  0.104408518  0.085683204
#> [24,]  0.078702397  0.172719713  0.041483929 -0.126878769
#> [25,] -0.153292760 -0.012370057  0.198205403 -0.269212893
#> [26,]  0.084881777  0.461449228 -0.158253765 -0.047645916
#> [27,]  0.464756310  0.718086702 -0.237052452 -0.022347270
#> [28,] -0.245809359 -0.320634912  0.274440348 -0.181863077
#> 
#> , , 16
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.171558834 -0.556244485 -0.454375486  0.084186124  0.280674250
#>  [2,] -0.151263537 -0.234272689 -0.291615012 -0.020950577 -0.139324170
#>  [3,]  0.026318132  0.148776187  0.095079819  0.118899068  0.204261706
#>  [4,]  0.120168524  0.258633108  0.100224217  0.103926236  0.103852360
#>  [5,]  0.124498857 -0.057685033  0.203515280 -0.202759954 -0.568477840
#>  [6,] -0.034436757 -0.115919874 -0.090889798 -0.076132762 -0.081431682
#>  [7,]  0.350120107  0.253727281 -0.187323965 -0.124193661  0.254753845
#>  [8,]  0.007986323  0.060802758 -0.059068576 -0.051792732 -0.034240454
#>  [9,] -0.059211704 -0.128382044  0.048529829  0.065795485 -0.026872138
#> [10,] -0.028205487 -0.071076960 -0.145109114 -0.100430984 -0.014920434
#> [11,]  0.025665549 -0.006352939  0.093759340  0.043837242 -0.108852568
#> [12,]  0.004017898 -0.176423097 -0.072281223 -0.016145092  0.153343784
#> [13,]  0.017629019  0.143484113  0.108382834 -0.217378461 -0.279067358
#> [14,]  0.009056262  0.154209907 -0.180877475 -0.036550555  0.004730772
#> [15,]  0.076407160 -0.081627955 -0.074964252 -0.076502544 -0.034129952
#> [16,] -0.021705522 -0.173192200 -0.004576936  0.007385923  0.045373209
#> [17,]  0.019569111 -0.018772255 -0.025182357  0.130337252  0.011571496
#> [18,]  0.199232447  0.040707788  0.079751203 -0.085426939 -0.054430929
#> [19,] -0.330922123  0.064011577  0.023674090  0.152341044  0.005395127
#> [20,]  0.299426186  0.092171551  0.108455827 -0.052726536  0.003494079
#> [21,] -0.040107897 -0.290843529 -0.030851501 -0.142673631 -0.020111812
#> [22,] -0.481536203 -0.060744913 -0.029028570  0.029843390  0.011230706
#> [23,]  0.178940036  0.266886691 -0.097834486 -0.131790005 -0.094339505
#> [24,] -0.018904206 -0.007690717 -0.018984278  0.121761851 -0.029196588
#> [25,] -0.004676243  0.206091476  0.056006407 -0.130362313 -0.024327944
#> [26,]  0.007817681  0.054369069  0.015008641  0.115727477  0.053764851
#> [27,] -0.016269591  0.168135279  0.587565139 -0.426052211 -0.211026576
#> [28,] -0.145314572  0.156873682 -0.288668168 -0.043859046 -0.007764146
#>                [,6]          [,7]          [,8]         [,9]
#>  [1,]  0.3295459279  0.0503764215  0.0493643458  0.401527161
#>  [2,] -0.0033849549  0.2225410213 -0.0751447829  0.430688014
#>  [3,]  0.1979410287  0.1795323926  0.1856391583  0.112038579
#>  [4,]  0.2180483139  0.1703702623  0.0520076183 -0.092887963
#>  [5,]  0.3286547599  0.2488806577  0.2869973416  0.289938842
#>  [6,]  0.0186838055 -0.0001949069  0.0493626081  0.194635629
#>  [7,]  0.3225836030 -0.0555811592 -0.1284003484 -0.138522715
#>  [8,]  0.0265128414 -0.0430650260 -0.0008459988 -0.017819538
#>  [9,]  0.0853341188  0.0520599248  0.0010396677  0.089307301
#> [10,]  0.0042477500 -0.0612332422 -0.0426492125 -0.006202731
#> [11,] -0.0903470378 -0.0439699893 -0.0250935219 -0.016179259
#> [12,]  0.1313577988  0.0270240906 -0.0157715847  0.054611794
#> [13,] -0.0286685583 -0.0193852305 -0.1023595630 -0.127309239
#> [14,]  0.0810099148  0.0088043440 -0.0266009192 -0.015170985
#> [15,]  0.0007296098 -0.0594083633 -0.0638748116  0.008705372
#> [16,] -0.0570302770 -0.0120504592 -0.0385251796 -0.041265359
#> [17,] -0.0283578311 -0.0063618303 -0.0186175208  0.015460914
#> [18,]  0.0645088086  0.0222797220 -0.0535368104 -0.072478826
#> [19,] -0.0444173616 -0.0056308921 -0.0158933227  0.103879314
#> [20,] -0.0008911343 -0.0113184432  0.0254288758  0.055549215
#> [21,]  0.0158418674  0.1855818901  0.1773676048  0.126512808
#> [22,]  0.0848286054  0.0009236159  0.0562145419  0.003949994
#> [23,] -0.0418918826  0.1285149528 -0.1794785757 -0.298852370
#> [24,] -0.1860710730 -0.4127188191 -0.3558591762 -0.374741614
#> [25,]  0.0413050816  0.0159375439 -0.2837856220 -0.184610716
#> [26,] -0.0814627111 -0.1366858546 -0.1596994300 -0.084171300
#> [27,] -0.0750561720 -0.2130656787 -0.0727529965  0.262679980
#> [28,]  0.1361215849  0.0995210694  0.1899224895  0.178759600
#> 
#> , , 17
#> 
#>               [,1]          [,2]        [,3]          [,4]         [,5]
#>  [1,] -0.461487855  0.1541304144 -0.00739348 -0.3140416764 -0.719826935
#>  [2,] -0.284963071 -0.1002375566 -0.05469785  0.1522269716  0.079792947
#>  [3,]  0.034472965 -0.2862386452  0.03444565  0.0561766605  0.159057349
#>  [4,] -0.081049879  0.3903978664  0.14940175  0.0105376643 -0.112561686
#>  [5,]  0.262106629  0.1388919621  0.63817379 -0.0015365606  0.176052057
#>  [6,]  0.118002567 -0.1176361759  0.10600473  0.1199612866  0.171866680
#>  [7,]  0.282611490  0.0690418902 -0.05050563 -0.3217023281 -0.064008696
#>  [8,] -0.067547310 -0.0186325335 -0.05659284  0.0788840084  0.035778374
#>  [9,] -0.242891397  0.1704567427  0.03735171  0.0372051448 -0.003916952
#> [10,]  0.228106057  0.1408427891  0.18304223  0.0537116657  0.068134380
#> [11,]  0.023124895 -0.0143444211 -0.06491035 -0.0338987036  0.031947805
#> [12,] -0.067162430  0.1127072688 -0.04988646  0.0197248761 -0.027870678
#> [13,]  0.105404456  0.1381975758  0.10735447  0.0776611517  0.127861661
#> [14,] -0.007122279  0.0006148669 -0.14127929 -0.0645745873 -0.192048677
#> [15,] -0.034074494 -0.1019337890  0.12920310  0.0248174790  0.019796069
#> [16,]  0.031892804  0.0220523672 -0.18378826 -0.0219795922 -0.052112447
#> [17,]  0.178825127 -0.1160991510  0.01823299  0.0501849045  0.052016465
#> [18,] -0.062099519  0.1454622492 -0.02042842 -0.0586890090 -0.082146383
#> [19,] -0.236399721 -0.2531246949  0.06565024 -0.0198609194 -0.076304016
#> [20,]  0.113697485  0.0828386343 -0.09122916  0.0008284731  0.010618072
#> [21,]  0.083273766 -0.0145214593 -0.02315731  0.0456056819  0.225428976
#> [22,] -0.124872595  0.0888323036 -0.01862515  0.0296225509 -0.078189028
#> [23,]  0.318638730 -0.0638573801 -0.06795350  0.1329230733  0.121165147
#> [24,] -0.163885904  0.1223425208 -0.02792808 -0.1768810665 -0.265762286
#> [25,] -0.366645123 -0.0596240293  0.03740896  0.1439213945  0.111693979
#> [26,] -0.166948007  0.0458868556  0.17517399 -0.2499933882 -0.371739674
#> [27,]  0.001275105 -0.3561987051  0.10056947 -0.5053981631  0.279610992
#> [28,] -0.255593174 -0.1157358029 -0.32098597 -0.2710117665 -0.273519531
#>               [,6]          [,7]          [,8]         [,9]
#>  [1,]  0.043527350  0.1401856085 -0.2851924437  0.024266685
#>  [2,]  0.399030251 -0.2624777053 -0.1966246852 -0.206734993
#>  [3,] -0.008528888 -0.0175200543  0.1249144375  0.061183038
#>  [4,] -0.459978055 -0.4648803546  0.0599423726  0.053021332
#>  [5,]  0.094647999 -0.2066842519  0.0430796856 -0.286767207
#>  [6,]  0.066877496 -0.0615204883  0.0104054413  0.108315496
#>  [7,]  0.262116467  0.0308540891 -0.1783045458  0.007279400
#>  [8,] -0.028579797 -0.0516727477 -0.0598505485  0.079588347
#>  [9,]  0.082923086  0.1256559221  0.0379029341 -0.097689262
#> [10,]  0.048746735 -0.0009800936  0.0848919595  0.002427605
#> [11,] -0.019889149 -0.0561186749 -0.0147057679 -0.029391822
#> [12,] -0.014153177  0.0599191535 -0.0001039682  0.032263778
#> [13,]  0.017312890 -0.0479723559 -0.0157264639 -0.118749250
#> [14,] -0.020666568  0.0817046551  0.0385200654  0.043585545
#> [15,] -0.052351604 -0.0800640706 -0.0756203691  0.021151632
#> [16,]  0.025646668 -0.0585265877 -0.0494256004 -0.097910795
#> [17,]  0.047193950 -0.0092940191 -0.0233419058 -0.029991178
#> [18,] -0.042505474  0.0394444777  0.0931568876  0.065889041
#> [19,]  0.129149520  0.0975265314  0.0562664207  0.041562277
#> [20,] -0.047784583  0.0334293091 -0.0275660100 -0.065733349
#> [21,]  0.099197402  0.0116386826  0.0490060642  0.175006024
#> [22,]  0.115706233  0.0311932093  0.0133099602  0.009207149
#> [23,] -0.001995734  0.0434641029  0.1370894109  0.083896047
#> [24,]  0.002057378  0.0072511348 -0.0663484643  0.068679820
#> [25,]  0.099716766  0.0433012485 -0.1651223705  0.026192667
#> [26,]  0.111602615  0.0541250853  0.3588910782  0.086624828
#> [27,]  0.849691159  0.3876120013  0.6513100559  0.451406773
#> [28,] -0.239552249  0.0055839720  0.1394688909  0.048171188
#> 
#> , , 18
#> 
#>              [,1]          [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.38725370 -0.0390908025  0.176232509 -0.029742302 -0.006755426
#>  [2,] -0.53350842  0.5156548505  0.044812996 -0.427766912 -0.335969150
#>  [3,]  0.03431685  0.0262744366 -0.048511005 -0.118838689 -0.075230388
#>  [4,] -0.09730081 -0.0003208995  0.050188227 -0.071192513 -0.155843427
#>  [5,] -0.03888210 -0.0903264509 -0.017690958 -0.247866364 -0.541883684
#>  [6,] -0.03692524  0.4253525631  0.060454648  0.045884094  0.037126836
#>  [7,]  0.28390919 -0.3775737227  0.003075962 -0.140382652  0.137156754
#>  [8,] -0.08908434  0.1691217721  0.083576494 -0.080695796 -0.187841532
#>  [9,]  0.15760740 -0.3616798253 -0.129014793 -0.021045596 -0.008362597
#> [10,]  0.05707720  0.0246418817 -0.013854855 -0.001139239  0.042405733
#> [11,] -0.07489887  0.0536064449 -0.017273842 -0.003702462  0.076828673
#> [12,] -0.11098943  0.1907972677  0.077402512  0.030488853 -0.061242161
#> [13,]  0.20460806 -0.1282043738  0.091151480  0.150896292  0.007689212
#> [14,] -0.12633995 -0.0452721741 -0.064794958 -0.006013032  0.162617854
#> [15,] -0.02422528  0.1695210649 -0.015262410  0.030539609 -0.059047664
#> [16,] -0.06228901 -0.0930452582  0.130383672  0.042158178  0.024008271
#> [17,] -0.25625674  0.0732871690  0.055646664  0.032542626  0.046486732
#> [18,]  0.19689509  0.0506749224  0.070076707  0.015758765  0.012743689
#> [19,]  0.03289887  0.1048795270 -0.055956877  0.041895225  0.034059741
#> [20,]  0.08164131 -0.1162752972 -0.072778685  0.058160531  0.016619948
#> [21,]  0.26544916  0.0465646262  0.132481515  0.036878159  0.018465190
#> [22,]  0.23349828  0.2776152996  0.022354417  0.042440264  0.072684781
#> [23,]  0.08982863  0.0890687231  0.158222785 -0.012061926 -0.076275563
#> [24,]  0.32563854  0.0275144416 -0.071013981  0.092087116  0.092382155
#> [25,]  0.32352743 -0.2974305120 -0.161488518 -0.116260418 -0.197333894
#> [26,]  0.10052711  0.3942921780  0.205408740  0.319853632  0.321247524
#> [27,]  0.13290166 -0.0781196112  0.001680907  0.405722712  1.334035295
#> [28,]  0.12381029  0.0250172297 -0.440532996 -0.331319494 -0.317521004
#>               [,6]         [,7]          [,8]         [,9]
#>  [1,] -0.043018840 -0.076708391 -0.6220057682 -1.049533937
#>  [2,]  0.120379702  0.060840517  0.3021473765 -0.144382419
#>  [3,] -0.065172718  0.074694296  0.1193068150  0.179106544
#>  [4,]  0.318703107 -0.064743889  0.0074309265 -0.295817920
#>  [5,] -0.117438146 -0.135346801  0.3176868829 -0.212826203
#>  [6,] -0.036790271  0.106306106  0.1199902936 -0.002455971
#>  [7,]  0.007086385 -0.438599978 -0.0090592709  0.066602741
#>  [8,] -0.163776993 -0.057936398  0.0072639255 -0.060594593
#>  [9,] -0.117347821 -0.144303258  0.0195927555  0.025275586
#> [10,]  0.013989504  0.022295744  0.0067605177 -0.012610751
#> [11,]  0.133003823  0.077895911 -0.0199763666  0.002951952
#> [12,] -0.019327683  0.060621762 -0.0249412859 -0.028482180
#> [13,] -0.020807956 -0.050831506  0.0726803685 -0.004008728
#> [14,] -0.085500600 -0.045462112 -0.0145541019 -0.008955346
#> [15,]  0.090267451  0.094185195  0.0539716302 -0.052088331
#> [16,]  0.015785683  0.023823645 -0.0388949430  0.074550512
#> [17,]  0.094616069  0.062616573 -0.0219347155 -0.076119038
#> [18,] -0.039708627 -0.007414871 -0.0001667103 -0.047018651
#> [19,]  0.103615923  0.101197825  0.0748689397  0.058581146
#> [20,] -0.039849863 -0.001250538 -0.0815447736 -0.098196932
#> [21,] -0.058768615 -0.130055192 -0.0765557622  0.012216321
#> [22,]  0.047631310  0.156475223 -0.1513444862 -0.164380333
#> [23,]  0.064602345 -0.041145689  0.1347943147  0.123317829
#> [24,]  0.111969765  0.223162139  0.2031578196  0.244313392
#> [25,] -0.305645771 -0.230741618 -0.0274615078 -0.117452446
#> [26,]  0.092208683  0.013683415 -0.0220144420 -0.060766153
#> [27,]  0.006366186 -0.692604404 -0.0006188873 -0.106841864
#> [28,] -0.093549353  0.202739415  0.0851717692  0.245530595
#> 
#> , , 19
#> 
#>              [,1]         [,2]         [,3]         [,4]          [,5]
#>  [1,] -0.25418973  0.128915800  0.271808112 -0.297476815 -0.0746066412
#>  [2,]  0.19543456 -0.415852696  0.091022097  0.226046871  0.1639852606
#>  [3,]  0.20095313  0.052557403 -0.009302067  0.199228570  0.1813513934
#>  [4,] -0.12792189 -0.004883679 -0.128069896  0.047185008  0.2045912756
#>  [5,]  0.31603613  0.052571724 -0.180487926  0.318993776 -0.1171477716
#>  [6,]  0.06021274 -0.141846137 -0.006586766  0.080289013  0.1581972379
#>  [7,] -0.29227490 -0.117681806  0.098918344 -0.252508128 -0.2188967699
#>  [8,]  0.42331768 -0.167577142  0.127790528  0.285128627  0.2573636763
#>  [9,] -0.02047617 -0.112407938  0.025371973 -0.027053110 -0.3147212036
#> [10,] -0.21425806  0.129020641 -0.060424549 -0.042854169 -0.0883119232
#> [11,]  0.06739941 -0.165985761 -0.035769418  0.030798011  0.0452712742
#> [12,]  0.02143157  0.093348525  0.054544891  0.025063934  0.0476741966
#> [13,]  0.28253665  0.011795579 -0.084684267 -0.143277871 -0.0407073359
#> [14,] -0.15262389 -0.028704991  0.242983905  0.091472545 -0.0250444361
#> [15,]  0.05007179 -0.024555064 -0.166931559 -0.169798227  0.0791631482
#> [16,]  0.02738244 -0.125561952  0.122157421  0.083908547  0.0147468900
#> [17,]  0.05999332  0.091141309 -0.114124327  0.003638684  0.0780411893
#> [18,]  0.06861132  0.023723068  0.003925594  0.001723387  0.0008884491
#> [19,] -0.07296230  0.060898554 -0.112967869 -0.153395371  0.0458463449
#> [20,]  0.26449698  0.167896208  0.010822809 -0.044363356 -0.0312363750
#> [21,] -0.26828574  0.062807925  0.106041043  0.192005233  0.0056599339
#> [22,] -0.10057727  0.040829191 -0.070880686  0.024212199  0.0578136818
#> [23,]  0.19786189  0.001062139 -0.047181346  0.150703822  0.1915329082
#> [24,]  0.00907518 -0.225046182  0.153201434  0.020021416 -0.0933738365
#> [25,]  0.06765339  0.124921096  0.227068933  0.130784559 -0.1664833211
#> [26,] -0.24356445  0.170551354 -0.386387025 -0.178582286  0.1034833655
#> [27,] -0.04417140  0.116495735 -0.303965047  0.192200056  0.0682093268
#> [28,]  0.18320126  0.055059575 -0.188798185 -0.041048002 -0.1027152724
#>               [,6]        [,7]         [,8]          [,9]
#>  [1,]  0.075318034  0.48378125  0.343422350  0.3152325725
#>  [2,]  0.356739337  0.13911972  0.092988121  0.3583069515
#>  [3,] -0.006891487 -0.01581720 -0.005858620  0.0032914072
#>  [4,]  0.099385164  0.24526080 -0.178503068  0.1938373622
#>  [5,] -0.275407847 -0.42270415 -0.304617690  0.1867451001
#>  [6,]  0.049083862  0.03749793 -0.084364789  0.0753780957
#>  [7,] -0.059069639 -0.22975084  0.007104129 -0.0454885793
#>  [8,] -0.062846631 -0.09947481  0.023971244 -0.0052409436
#>  [9,] -0.090525641 -0.12933124  0.033682837  0.0246895245
#> [10,] -0.047132621  0.02703327 -0.053685103 -0.0542422583
#> [11,] -0.029344164 -0.01889192 -0.084063570  0.0124517263
#> [12,] -0.034887197 -0.02468427  0.057758100 -0.0445256975
#> [13,] -0.055797063  0.04724111  0.132694378  0.0829613461
#> [14,] -0.155447136 -0.09777192 -0.106458525 -0.0754234385
#> [15,]  0.082077458  0.04749764  0.089707401  0.0377114045
#> [16,] -0.029340450 -0.03501932  0.011257929  0.0403873892
#> [17,] -0.041522839  0.01116595 -0.008630363  0.0149425163
#> [18,] -0.010307385 -0.06658022 -0.039756054 -0.0381318261
#> [19,]  0.062998105 -0.02037354 -0.115895023 -0.0365661649
#> [20,] -0.060663037 -0.04055510  0.036762734 -0.0486155829
#> [21,] -0.112633794 -0.01436508  0.086344726 -0.0680114286
#> [22,]  0.010726147  0.12078250 -0.044995344 -0.0266233627
#> [23,] -0.033771344 -0.02150947 -0.227424314  0.0527366506
#> [24,] -0.161206936 -0.03108825  0.175092585  0.0615805455
#> [25,]  0.134108919  0.08929948  0.091229366 -0.0008185549
#> [26,]  0.169854273  0.14693634 -0.473710758  0.0380727340
#> [27,] -0.102045829 -0.02602946  0.238352517 -0.2935257701
#> [28,]  0.164308494 -0.03201756  0.109784686  0.0648945433
#> 
#> , , 20
#> 
#>              [,1]         [,2]         [,3]          [,4]          [,5]
#>  [1,] -0.20383352 -0.503672163 -0.710269187 -0.7246759117 -0.3863204989
#>  [2,] -0.24734996 -0.024491379 -0.438119093 -0.3618812456 -0.1233296954
#>  [3,] -0.04528988  0.199024507  0.067593281  0.0038167262 -0.0274418448
#>  [4,] -0.12006662 -0.053077596  0.092182147 -0.1018381149  0.0824964816
#>  [5,] -0.37721311  0.059353155  0.094114427  0.1883312787  0.0307126587
#>  [6,] -0.07359988  0.027878706 -0.015451375 -0.0461354352 -0.0521767133
#>  [7,] -0.08043212 -0.259095483 -0.010201045  0.0274057555  0.1242284565
#>  [8,] -0.11164565  0.081222033  0.183040248 -0.0003438033  0.0212476312
#>  [9,]  0.04643345  0.048361147 -0.116167316  0.0485811599 -0.0164336511
#> [10,]  0.04026964  0.005659949  0.116634386  0.0897055023  0.1061033462
#> [11,]  0.01249937  0.099716718  0.064944493 -0.1381249384 -0.1111129438
#> [12,]  0.03023451 -0.122906840 -0.065076337  0.0014323805  0.0140821567
#> [13,] -0.01806448  0.083797488 -0.203049552  0.1121318898  0.0013727696
#> [14,]  0.15344741 -0.327906729  0.166988375 -0.0911198029  0.0523391691
#> [15,] -0.37104822  0.042164042  0.090687751  0.0634857666 -0.0624487515
#> [16,]  0.17567079 -0.032887874 -0.041383263  0.0635784557  0.0856800452
#> [17,]  0.14366971  0.075749963 -0.041399782 -0.0967342423 -0.1015837961
#> [18,] -0.08935615 -0.086769324 -0.003149803  0.0743609624  0.0103328071
#> [19,] -0.07398764 -0.111389694 -0.062110473 -0.0728377659  0.0008666848
#> [20,]  0.18559156  0.157028562  0.014654362  0.0443590944 -0.0348219413
#> [21,]  0.03346156 -0.094352112 -0.037536304 -0.1280738130 -0.2401989762
#> [22,] -0.20699387 -0.343891358 -0.199946854 -0.1107791237 -0.0136146724
#> [23,]  0.03929119 -0.040085825  0.085603839 -0.1608036975 -0.3530902999
#> [24,] -0.11465113  0.079515936 -0.181227804  0.0186074598  0.0795250270
#> [25,]  0.05100794  0.119505053  0.171066688  0.3159049995  0.1481729728
#> [26,] -0.33753457 -0.288901752  0.047978317 -0.2429043019  0.1521510958
#> [27,] -0.39861531  0.270196051  0.171862451  0.1653144164  0.2981003788
#> [28,] -0.14940581  0.399692992 -0.122984586 -0.4230468495 -0.4212220356
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,]  0.159830630 -0.011584282 -0.226757297 -0.696945776
#>  [2,]  0.122937764  0.383292681  0.811792943  0.883921383
#>  [3,]  0.004737291  0.070505075 -0.083595842  0.038356500
#>  [4,] -0.180141971 -0.104053516  0.150216793 -0.038964742
#>  [5,]  0.069250719  0.296725166 -0.385494825  0.136259535
#>  [6,]  0.077824089  0.055253804  0.166118715  0.133883093
#>  [7,] -0.192329897 -0.455528460  0.028703928 -0.350491149
#>  [8,]  0.005325541 -0.065002725 -0.073015925 -0.051505910
#>  [9,] -0.054451802 -0.059166213  0.051644239  0.117627573
#> [10,]  0.092931775  0.041775731 -0.049664874  0.005994196
#> [11,]  0.002079366  0.004544615 -0.022381815 -0.043291732
#> [12,]  0.059020342  0.023961631 -0.039600569 -0.123334305
#> [13,]  0.087588006  0.063768444 -0.076456427  0.047393429
#> [14,]  0.195747531 -0.042270123 -0.007914565 -0.022849962
#> [15,]  0.020064965  0.027343461 -0.089371848  0.043198532
#> [16,] -0.056012240 -0.036983262  0.046566525  0.009759359
#> [17,] -0.051435082 -0.006750413 -0.027981095  0.027362660
#> [18,]  0.125432213  0.069369546  0.030396820  0.099242996
#> [19,] -0.054782937 -0.085134847 -0.047032128 -0.025913583
#> [20,] -0.005482065  0.064945237 -0.024678557 -0.011209146
#> [21,] -0.085380819 -0.103258093 -0.046074889  0.021512960
#> [22,]  0.160047089  0.089303439  0.020120293  0.158975485
#> [23,] -0.325742173 -0.348476964 -0.299248738 -0.092841949
#> [24,]  0.152058795  0.052667199  0.092093687  0.037198071
#> [25,]  0.066598383  0.090041855 -0.094267105  0.193454599
#> [26,]  0.026215895  0.095608025  0.309296149  0.327070988
#> [27,]  0.276475180 -0.162215321 -0.058819143 -0.064871829
#> [28,] -0.501541892 -0.281464779 -0.037690927  0.322630181
#> 
#> , , 21
#> 
#>               [,1]         [,2]         [,3]          [,4]         [,5]
#>  [1,] -0.011148332  0.439655373  0.167239426 -0.1940636551 -0.517937253
#>  [2,]  0.075361830  0.014551222 -0.036213360 -0.0209604094 -0.054161219
#>  [3,] -0.148769756  0.078502890 -0.101844760 -0.0996826587 -0.177601552
#>  [4,]  0.334115110 -0.012446431 -0.081685931  0.1343386809  0.063132696
#>  [5,]  0.024798675  0.226408185 -0.149615579 -0.2774353291  0.162238404
#>  [6,]  0.077456988 -0.001688634 -0.322835596 -0.1570570595 -0.081594819
#>  [7,] -0.253353158  0.279922355  0.466803196  0.4458164462  0.043247596
#>  [8,] -0.002679773  0.042330060 -0.029257546 -0.0410876633  0.030382964
#>  [9,] -0.240079424 -0.031703286 -0.011428690  0.0436522620  0.001082120
#> [10,]  0.203479442 -0.153530522  0.063846259  0.0694820495 -0.052834189
#> [11,]  0.045088241 -0.006459893 -0.069505096 -0.0818603980  0.021286921
#> [12,] -0.034060249  0.079663300  0.117044566  0.1919609105  0.018627988
#> [13,] -0.141059926  0.146249670  0.056097261 -0.1159710231 -0.002691277
#> [14,]  0.125569892 -0.136507023 -0.075550976  0.1478516100  0.113421890
#> [15,]  0.276760054  0.054681761 -0.112238656 -0.0944715023  0.054699577
#> [16,] -0.245334230  0.049777944  0.181519005  0.0273710790 -0.062658309
#> [17,]  0.219318159 -0.092397403 -0.145036740 -0.0910768113  0.004920789
#> [18,] -0.025387959  0.117374062  0.003725806  0.0003032226 -0.009248012
#> [19,] -0.070369734 -0.142570518 -0.292270164 -0.1506420077 -0.046763034
#> [20,]  0.042444767 -0.032399770  0.019393408  0.0426524130  0.039526106
#> [21,]  0.253802450  0.227942398 -0.002795538  0.1457404024  0.078005083
#> [22,] -0.116122680 -0.079071618  0.110115055 -0.0473200892 -0.037864835
#> [23,]  0.236229452  0.291345409  0.006899801  0.0776398554  0.078509118
#> [24,] -0.356675466 -0.091086357  0.017061213  0.0161386762  0.051758170
#> [25,] -0.044012928  0.112304997 -0.165944414 -0.0748134625 -0.125332990
#> [26,] -0.004148531 -0.212625211  0.110574456 -0.3303689585 -0.245066723
#> [27,] -0.028127519 -0.113500785  0.188723948  0.3167259951  0.109754373
#> [28,] -0.231237305 -0.159577442 -0.293125499 -0.0664594838 -0.390544487
#>                [,6]         [,7]          [,8]         [,9]
#>  [1,]  0.2420398824 -0.009030718 -0.7534620381 -0.454361060
#>  [2,]  0.1090687304  0.113462676  0.7176749564  0.519665291
#>  [3,]  0.0197801649 -0.045284323  0.0171294738  0.085258825
#>  [4,] -0.2539084741 -0.232734444  0.1804812427 -0.067529423
#>  [5,] -0.3203486885 -0.763950745  0.0697207523  0.012579733
#>  [6,]  0.0307413024  0.025905131 -0.0891739164 -0.213633819
#>  [7,] -0.0604493557 -0.076809679 -0.0635204930  0.045032896
#>  [8,] -0.0421647682 -0.148581560  0.0096885703  0.013818749
#>  [9,] -0.0005363147 -0.065777051 -0.0218896243 -0.006139987
#> [10,]  0.0509131355  0.024956884  0.2144213110  0.083143938
#> [11,] -0.0302662563  0.027990967 -0.0398484235  0.028203836
#> [12,]  0.0346606170  0.033730180  0.0858698053  0.036255628
#> [13,]  0.0008985317 -0.074863588  0.0248797530 -0.008145518
#> [14,]  0.1245537782 -0.031749179 -0.0738084705 -0.107154269
#> [15,]  0.1573460155  0.218145896 -0.0127079087 -0.090986205
#> [16,] -0.0185982234 -0.078445243  0.0521689080  0.033065740
#> [17,]  0.0512491426  0.013290670 -0.0002284854  0.047321639
#> [18,] -0.0815874035 -0.032560949 -0.0701601186 -0.064797037
#> [19,] -0.0055448143  0.035811221  0.1270444622  0.027772707
#> [20,] -0.0779331525 -0.045688547 -0.0392649316  0.011257266
#> [21,]  0.3447055420  0.246450679 -0.0093086123 -0.120941112
#> [22,] -0.0188516488 -0.098563630 -0.0827203497 -0.087125803
#> [23,] -0.0990564560 -0.250198276 -0.1506985216  0.028900769
#> [24,]  0.0245081225 -0.240504683 -0.1082972425  0.036189404
#> [25,] -0.0389284177 -0.234929919  0.0769006551 -0.177216732
#> [26,] -0.0196244819  0.125255047 -0.0664938155 -0.104541766
#> [27,]  0.1774027006 -0.166140807  0.1925672170 -0.162089533
#> [28,] -0.0916774715  0.032715074  0.0698832566  0.117423838
#> 
#> , , 22
#> 
#>              [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,]  0.12791541 -0.084719143 -0.116538793 -0.318523762  0.041657890
#>  [2,]  0.40014043 -0.394111208 -0.444022680  0.183269890  0.450322839
#>  [3,] -0.19118088  0.115958830  0.150294823  0.022723745 -0.113272327
#>  [4,] -0.07073323 -0.432801928 -0.145622360  0.052324309  0.153309506
#>  [5,]  0.06156869  0.322905710 -0.360513779  0.019403697  0.339540880
#>  [6,]  0.18104810 -0.105674997  0.069026876  0.071313195 -0.010949785
#>  [7,] -0.13108496  0.471215171  0.063165453  0.043758014 -0.065790731
#>  [8,]  0.01104803  0.039166182  0.270744279  0.069565389  0.076902625
#>  [9,] -0.09821423  0.107634348 -0.212318965  0.082219575  0.252590923
#> [10,]  0.41002546 -0.017198758 -0.007535236  0.015247291  0.012424723
#> [11,] -0.04616433  0.081218844  0.057613516 -0.030398725 -0.050508814
#> [12,]  0.19491382 -0.186415665 -0.074959378  0.083116230  0.101725901
#> [13,]  0.03944385  0.325502290 -0.096522231 -0.016905670  0.121906182
#> [14,] -0.13724249 -0.199505315 -0.078815520 -0.080658725  0.002943332
#> [15,] -0.12883745 -0.092130846  0.051941180  0.059580750 -0.179303309
#> [16,]  0.05870677 -0.018886688 -0.038773150  0.013182345  0.102289125
#> [17,] -0.16498239 -0.060174704 -0.007358062  0.056146551 -0.023600568
#> [18,]  0.02780288  0.092766225  0.052518072  0.049368939  0.031901291
#> [19,] -0.09656796  0.001935306  0.105629482  0.030112252 -0.081015760
#> [20,] -0.04028369 -0.234672110 -0.051666314 -0.007673495 -0.093934962
#> [21,] -0.32546112  0.320452095  0.005704844 -0.197588271 -0.176574271
#> [22,]  0.17133248  0.112642964 -0.172350169  0.100484812 -0.062198835
#> [23,] -0.01340676 -0.160153792  0.209544785  0.255610839  0.181828150
#> [24,]  0.23062803  0.156813729  0.126988472  0.003422734  0.235155891
#> [25,] -0.56091953  0.165282104 -0.151514643 -0.098714515  0.071409643
#> [26,]  0.26803727  0.111336953  0.016199914 -0.121185604 -0.099431720
#> [27,] -0.25522276  0.649531318  0.144556411 -0.015223821  0.476796779
#> [28,] -0.07379933 -0.060078237  0.039800122  0.120184268 -0.157822441
#>               [,6]         [,7]          [,8]          [,9]
#>  [1,]  0.249612651  0.171873073  0.4441537795  0.4815800461
#>  [2,]  0.399940628  0.240898194  0.0496766880  0.1989875998
#>  [3,]  0.093800996  0.033770547 -0.0273555308  0.1780241536
#>  [4,]  0.103513166 -0.171914480 -0.1537561048 -0.2825059908
#>  [5,] -0.306651641  0.220484950 -0.0965255109  0.2829888327
#>  [6,] -0.152416796 -0.125653862  0.0223873572 -0.1640690559
#>  [7,]  0.087879549  0.264087087  0.0737639327  0.1322237532
#>  [8,]  0.073460980  0.073982387 -0.1529309660 -0.0135327118
#>  [9,]  0.044676171  0.075629441 -0.0287885992  0.0005718482
#> [10,] -0.036275430 -0.006787410 -0.0494185271 -0.0943206507
#> [11,] -0.117301815 -0.091745610  0.0361710663 -0.0341863115
#> [12,]  0.045328071  0.084405904 -0.0779559427 -0.0789674822
#> [13,]  0.207213140  0.109069998 -0.0625344267 -0.1340555073
#> [14,] -0.271712252  0.020976832  0.0691077032  0.0570521655
#> [15,] -0.169568893 -0.075944636  0.0186361475  0.0575686678
#> [16,]  0.098413100  0.003323075 -0.0046990838 -0.0439245687
#> [17,]  0.010971498  0.066012969  0.0142478942  0.0702073381
#> [18,] -0.005217556  0.058104365  0.0331047599 -0.0526594478
#> [19,] -0.150395241 -0.037190727  0.0838510144  0.0019900558
#> [20,]  0.034363916  0.001323157  0.0057743576 -0.0022535945
#> [21,] -0.149547938  0.087219321  0.0653349538  0.0050790390
#> [22,] -0.036464497  0.057272475  0.1808481793  0.1333448195
#> [23,] -0.043293937  0.134028794  0.0009772578  0.2029732599
#> [24,] -0.076251743 -0.059583051  0.0258440267 -0.0085827440
#> [25,]  0.194390315  0.239925786 -0.1749328666  0.1226263784
#> [26,]  0.091549890  0.173963922  0.2955533029  0.2637523274
#> [27,] -0.048249802 -0.221827319  0.2922564874 -0.1058434103
#> [28,]  0.032212740  0.111929419  0.2873493590  0.4553508311
#> 
#> , , 23
#> 
#>               [,1]          [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.216661619  0.0207372238  0.176699166 -0.072634176  0.082543726
#>  [2,] -0.844436054  0.1087436411 -0.179997585  0.056237922 -0.224487135
#>  [3,]  0.173134791 -0.0110731280 -0.086837050 -0.110481364 -0.083022360
#>  [4,]  0.076655339  0.0496864687  0.225453115  0.192763548  0.160388637
#>  [5,] -0.089741598 -0.0544408109  0.348675567  0.546465528  0.586284046
#>  [6,]  0.119185121 -0.0370929348 -0.110484749  0.035103733 -0.011708039
#>  [7,] -0.174388790  0.6156498305  0.007729589  0.221652122  0.006783141
#>  [8,]  0.069083430  0.0787733844  0.104759059  0.091841558  0.034040808
#>  [9,] -0.271326389  0.0654678700 -0.119324951 -0.082633500 -0.126265765
#> [10,] -0.243829082 -0.0648832620 -0.021574400  0.007846573 -0.035840325
#> [11,]  0.068255143 -0.0664432994  0.021829475  0.027440926 -0.018053722
#> [12,]  0.039434182 -0.1018475271  0.055031746 -0.014743412  0.053191867
#> [13,] -0.050025756  0.0746367618 -0.314720962 -0.153687116 -0.177377860
#> [14,] -0.098315188 -0.1628252134  0.016682753  0.014012160 -0.056560073
#> [15,]  0.210178851  0.1483004950  0.079958573  0.011256757  0.044438798
#> [16,] -0.171552315 -0.0766297423  0.109555536  0.025740599 -0.025837121
#> [17,] -0.001138954 -0.0614850323  0.030482735  0.001999838 -0.049592982
#> [18,]  0.120161787 -0.0355851609 -0.089151096  0.059588376  0.036302380
#> [19,]  0.194138159 -0.0559777317 -0.014827818  0.109058999 -0.066939806
#> [20,]  0.198314913 -0.0084719964 -0.042844725  0.077885096  0.129165091
#> [21,] -0.302262588  0.1097381431  0.075035897  0.023956519  0.153216688
#> [22,] -0.070501221 -0.1831174704 -0.110738279 -0.041783026 -0.083420282
#> [23,]  0.045446158  0.0515725766  0.213115795  0.047262514  0.084147659
#> [24,]  0.093527735  0.2090128050 -0.413947849 -0.132949466 -0.300986914
#> [25,] -0.277260643 -0.0002245675 -0.395482462 -0.084637103  0.092291983
#> [26,]  0.068841526  0.2243197845  0.200861539 -0.032918090 -0.100724569
#> [27,] -0.100784127 -0.1564430487 -0.117888306  0.241976923  0.268648104
#> [28,]  0.411680627  0.4139093930 -0.194580298 -0.103527941 -0.437267612
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.221466411 -0.341390017 -0.291246291 -0.221030419
#>  [2,] -0.102386209  0.126020750  0.280666051  0.047722904
#>  [3,] -0.045662500  0.002018652  0.026475714  0.047372605
#>  [4,]  0.164807387 -0.074151522 -0.242007008 -0.064783427
#>  [5,] -0.023448103  0.132173826  0.511417095  0.831445852
#>  [6,] -0.033633804  0.053448310 -0.174766814 -0.201966369
#>  [7,] -0.074787434  0.114688298  0.257666353  0.131184566
#>  [8,] -0.167885190 -0.084949937  0.103036212  0.131018328
#>  [9,]  0.164934414  0.122003881  0.053801265  0.007372874
#> [10,] -0.100728283 -0.042379818  0.055149694  0.031400253
#> [11,]  0.029587787  0.028159644 -0.018345092 -0.048807707
#> [12,]  0.017330890  0.019618411  0.141305905  0.037349251
#> [13,] -0.149699832 -0.173350511  0.105027611  0.086651139
#> [14,] -0.180192797 -0.063300155  0.093781620  0.140401155
#> [15,] -0.079138632 -0.074566376 -0.058676544 -0.071694778
#> [16,]  0.032569871  0.126916496 -0.015996349 -0.013187048
#> [17,] -0.040909285 -0.014435815 -0.049445932 -0.048276088
#> [18,] -0.009864000 -0.026375271  0.004475325  0.096505946
#> [19,]  0.003838337  0.167307170 -0.015024718  0.034760229
#> [20,]  0.010042180 -0.104303682  0.109470731  0.071311326
#> [21,] -0.055292068  0.010679843 -0.118448080 -0.034937833
#> [22,] -0.084341738  0.078810281  0.034798834  0.032384070
#> [23,] -0.084880224 -0.062745740 -0.222162657 -0.112705120
#> [24,] -0.047791011  0.150659630  0.213344928  0.188400939
#> [25,]  0.070839350  0.179867873  0.112722106  0.264945950
#> [26,] -0.296979828 -0.321666676 -0.221985015  0.061915904
#> [27,]  0.653793333  0.435454443  0.269837206  0.320200348
#> [28,] -0.323916128  0.112464022  0.249992468  0.112212923
#> 
#> , , 24
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.234886970 -0.22697909 -0.255745937 -0.251842392 -0.317893177
#>  [2,] -0.122883456 -0.03668010  0.019245263  0.251618955 -0.110014099
#>  [3,] -0.044947015 -0.19294835  0.010361704  0.049739809  0.163854054
#>  [4,] -0.406656331 -0.06947506 -0.286133764  0.008915189 -0.200491551
#>  [5,] -0.006602339 -0.10709929  0.002623684 -0.049755079 -0.258082974
#>  [6,] -0.131452976  0.01208620  0.071973526 -0.022580301  0.032068433
#>  [7,] -0.250530461  0.18294781 -0.071662177  0.243363351  0.016515288
#>  [8,]  0.087470270  0.22073424  0.186677175  0.069065223  0.056913708
#>  [9,]  0.063645160 -0.12360373 -0.189880160  0.005403559  0.043974696
#> [10,]  0.135628074 -0.02913463  0.038744721  0.036758794  0.087015203
#> [11,] -0.275896283 -0.06250045 -0.058788992 -0.002699947 -0.082289598
#> [12,]  0.102211506  0.22040436 -0.067016055 -0.010364368 -0.041842142
#> [13,] -0.066821610 -0.06521506 -0.065878161  0.128068305 -0.008489946
#> [14,] -0.079502458 -0.27909277 -0.162807035 -0.296356407 -0.101909516
#> [15,]  0.063245226 -0.02260503  0.041275523  0.152603840 -0.005182441
#> [16,] -0.174374199 -0.08158923  0.023694558 -0.012395688  0.039367971
#> [17,]  0.084702099  0.04867972 -0.055917913  0.157389207  0.031131797
#> [18,] -0.070493484  0.03320103 -0.075993923 -0.180008632 -0.143381517
#> [19,] -0.016116587 -0.10429612 -0.025496397 -0.039094258 -0.119034211
#> [20,]  0.186714099 -0.09362832 -0.163433785 -0.152997076 -0.121477622
#> [21,]  0.074370634  0.03727564  0.207632955  0.011014767  0.184777531
#> [22,]  0.034735210 -0.08125173 -0.150696752  0.111198639 -0.021196665
#> [23,]  0.069611045 -0.04784838 -0.084345176 -0.181263204 -0.151076836
#> [24,] -0.115277008 -0.19092358  0.113648874  0.004383044 -0.051081089
#> [25,]  0.042568952  0.28217820 -0.086073665 -0.241026296 -0.111395094
#> [26,] -0.227623134  0.09499985  0.178449284  0.378065390  0.350520024
#> [27,] -0.000604963 -0.20110927  0.363314013  0.211413585  0.365709414
#> [28,]  0.168399045 -0.02590609 -0.324551880  0.244916887  0.166250063
#>               [,6]         [,7]         [,8]         [,9]
#>  [1,] -0.222842948 -0.094450833 -0.122372962  0.069595264
#>  [2,]  0.060305254 -0.103385206 -0.256225934 -0.224978530
#>  [3,] -0.116201624 -0.056362626  0.087354562 -0.017379401
#>  [4,]  0.039546357  0.361848502  0.088607956 -0.019314224
#>  [5,]  0.257881926 -0.535047404 -0.784120011 -0.181889701
#>  [6,]  0.071138140 -0.072589231 -0.162009364 -0.217393638
#>  [7,] -0.006429973  0.379904077  0.109681137  0.068277458
#>  [8,]  0.006101205 -0.010948923 -0.032307618 -0.126419234
#>  [9,]  0.186662345  0.143232678  0.018510115  0.175010597
#> [10,]  0.046402868  0.055095914  0.017227340  0.055413565
#> [11,]  0.001211755 -0.014281721 -0.023718922  0.042583867
#> [12,] -0.013554167  0.007578350 -0.042723810 -0.065609249
#> [13,]  0.003218545 -0.002532632  0.010806063  0.032437331
#> [14,]  0.222451699  0.102274203  0.124018515  0.100191476
#> [15,] -0.003947064 -0.056687229  0.046055655  0.019631103
#> [16,] -0.106157366 -0.013775995  0.005934839  0.004252202
#> [17,]  0.057359738 -0.020563686 -0.077008694 -0.021032257
#> [18,] -0.010525062 -0.043798138  0.051177821  0.027329965
#> [19,] -0.093199326 -0.071685864  0.005912370  0.024267394
#> [20,]  0.044605822  0.037217426  0.020757853  0.064098087
#> [21,]  0.150945559 -0.147019542  0.062844601 -0.173631796
#> [22,]  0.048481123  0.038434762 -0.052888137 -0.027086551
#> [23,]  0.115336148 -0.086987874  0.110531102  0.125868386
#> [24,] -0.094665491  0.044977860 -0.124680680 -0.138654658
#> [25,] -0.012532221 -0.116151004  0.079418002 -0.180494422
#> [26,] -0.172202747 -0.203593084 -0.153237914  0.236311403
#> [27,]  0.011270203 -0.053723825  0.042570264  0.513324590
#> [28,] -0.513570408  0.173289141  0.151491754  0.068154060
#> 
#> , , 25
#> 
#>               [,1]        [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.471514914  0.11198168  0.424748891  0.535849689  0.272634590
#>  [2,] -0.306619556  0.26407189 -0.224713497  0.010869825 -0.457446719
#>  [3,]  0.146237143 -0.03518706 -0.195333423  0.054469434  0.117260437
#>  [4,] -0.382095931 -0.19936518  0.097914152  0.180850967 -0.119425453
#>  [5,]  0.300839565 -0.13448068 -0.351587774 -0.771249097 -0.327528369
#>  [6,]  0.120355545  0.36939891 -0.200678934 -0.122433152 -0.056305212
#>  [7,] -0.024929110 -0.03300243 -0.020580793  0.163536229 -0.082225117
#>  [8,] -0.046918635 -0.10669889 -0.086544841  0.066715864 -0.030433481
#>  [9,] -0.062793213  0.18311322  0.058648081 -0.004063494 -0.086982136
#> [10,] -0.077883068 -0.15733708 -0.062781984 -0.008191784 -0.094040295
#> [11,]  0.197473392  0.07196214 -0.083455739 -0.013612491  0.145725564
#> [12,] -0.010940264  0.16028197  0.160444270  0.183701946  0.048006107
#> [13,] -0.046836415 -0.00547928 -0.010486055 -0.092677355  0.084660125
#> [14,] -0.233123516  0.01576817 -0.065417427 -0.034490422 -0.104177293
#> [15,]  0.188766272  0.08185719  0.210832015  0.149993832  0.113423478
#> [16,]  0.063469073  0.02250918 -0.005318476  0.054423893 -0.016002144
#> [17,]  0.189818475 -0.12648542 -0.200400209 -0.007573142 -0.031673688
#> [18,] -0.122240700 -0.20906333  0.010193724  0.010366927  0.052991427
#> [19,]  0.001230099  0.14894367 -0.013771510  0.023415058  0.046370215
#> [20,] -0.120849628 -0.18699776 -0.073629729 -0.033650038 -0.075408537
#> [21,]  0.226830094  0.05137777  0.375702165  0.243645430 -0.027336735
#> [22,] -0.348806985  0.08604924 -0.199370054 -0.036537258 -0.157574293
#> [23,]  0.193007650 -0.31267437  0.163282332  0.322616645  0.050016401
#> [24,]  0.357950912  0.22362774 -0.049222996  0.108113571  0.191678148
#> [25,] -0.094377047 -0.12541568 -0.039536064 -0.025953012 -0.151546314
#> [26,] -0.345602074 -0.31323192 -0.157534173 -0.231123962 -0.002745581
#> [27,]  0.721458726 -0.17036507 -0.150791786 -0.536157786  0.162859149
#> [28,] -0.098391542 -0.09045733 -0.217004309  0.141743895 -0.261919044
#>                [,6]         [,7]          [,8]         [,9]
#>  [1,] -0.4500616021 -0.372364278 -0.0494324977  0.248148835
#>  [2,] -0.0863016356  0.136829910  0.1882936454  0.106747450
#>  [3,] -0.0340537893  0.249648527  0.1666024154  0.053885252
#>  [4,]  0.1087660540  0.046444438 -0.1815721893 -0.138638297
#>  [5,] -0.0454416141 -0.202564229 -0.0829843738  0.249542304
#>  [6,]  0.0569035492  0.049416253  0.0399086417  0.034545383
#>  [7,]  0.0839502269  0.080178925 -0.0994106777 -0.086593156
#>  [8,] -0.0820574179 -0.100600183 -0.0778185092  0.006888033
#>  [9,] -0.0608606120  0.032165817  0.0375177331  0.036947886
#> [10,] -0.0200484957 -0.085396413 -0.0245757922 -0.023298193
#> [11,]  0.0335872129  0.009142798  0.0227860491 -0.024817445
#> [12,] -0.0323811121 -0.030574606 -0.0693985664 -0.034564502
#> [13,] -0.0075823043 -0.111640391  0.0004391877  0.006658297
#> [14,]  0.0147337536  0.008781276  0.0036366707 -0.033457705
#> [15,]  0.0136165887  0.043113139 -0.0273644451  0.052169689
#> [16,] -0.0309659812 -0.016143976  0.0502814805 -0.001924816
#> [17,] -0.0250331998 -0.041391350 -0.0470320338 -0.011940195
#> [18,] -0.0092011943 -0.059791199 -0.0097781030 -0.007076585
#> [19,]  0.0380141333 -0.020088451  0.0072746135 -0.028479621
#> [20,] -0.0558242285  0.057031586  0.0102228975  0.010810661
#> [21,]  0.0549790471  0.084560939 -0.0722330063 -0.045445247
#> [22,] -0.0008677135 -0.043308951 -0.0160034827  0.007801802
#> [23,] -0.1249212831 -0.013203483  0.0470323818  0.048609814
#> [24,] -0.0650259989 -0.260966591 -0.0037280719  0.053719890
#> [25,]  0.0790757698  0.110296335  0.0379376429  0.100075083
#> [26,]  0.3677502163  0.130306987  0.0467672906 -0.015931101
#> [27,]  0.3847499775  0.160192917 -0.1485024849  0.021482463
#> [28,] -0.1133509484  0.470026977  0.3785881205  0.366131090
#> 
#> , , 26
#> 
#>                [,1]         [,2]        [,3]         [,4]         [,5]
#>  [1,]  2.655191e-02 -0.067343982 -0.10124957 -0.044018623  0.167857792
#>  [2,]  4.161532e-01 -0.100512719  0.08179435  0.106919374 -0.330271768
#>  [3,] -5.718413e-02 -0.203733002  0.01297109  0.021068650  0.041588868
#>  [4,] -2.127407e-02 -0.005498556 -0.08946274 -0.376901346 -0.445022681
#>  [5,] -1.829940e-01  0.048458734  0.60099166  0.323846103 -0.383968075
#>  [6,] -2.956261e-02 -0.073159643  0.17066519  0.031392940  0.041680974
#>  [7,] -6.434634e-02 -0.286299985 -0.18777817 -0.016392770  0.028660261
#>  [8,]  2.076711e-01  0.119570756  0.17671234  0.042523722  0.083950453
#>  [9,] -3.016468e-01 -0.061472354  0.02202841  0.175534550  0.034888092
#> [10,]  8.110537e-02  0.079333877 -0.06272666 -0.075827431 -0.090656789
#> [11,] -5.642391e-02 -0.005738552  0.07557716  0.027794231 -0.073617596
#> [12,]  5.320715e-02  0.075805108 -0.05456840  0.058433705  0.094083945
#> [13,]  3.163720e-02  0.093265143 -0.03726832  0.205816435  0.110242957
#> [14,] -1.096672e-01 -0.045303487 -0.11610189 -0.107343380  0.065274564
#> [15,] -4.046863e-05  0.229844193  0.15403136  0.049829063  0.099962917
#> [16,] -1.448260e-01 -0.109135612 -0.13351430  0.013576355  0.043822874
#> [17,] -7.260363e-02 -0.004957084  0.02218999 -0.037179936 -0.156749856
#> [18,] -5.376927e-03  0.003334786 -0.09806490  0.016339055  0.079067149
#> [19,]  9.496279e-02  0.043452025  0.02413073 -0.079249655 -0.018803264
#> [20,] -2.735076e-01 -0.196991161 -0.30409644  0.013930917  0.043954686
#> [21,] -4.395140e-02  0.010980089  0.19477439  0.083893016 -0.006834579
#> [22,]  5.930938e-02  0.179725181 -0.11105864  0.004310827 -0.052228243
#> [23,]  9.022993e-03 -0.065515549  0.15264253  0.024838644  0.038066812
#> [24,] -3.148150e-01 -0.163042414  0.27345454  0.387958680  0.284333347
#> [25,]  1.275047e-01 -0.100747327  0.07740010  0.383658441  0.266650936
#> [26,]  1.615620e-01  0.432710521  0.04660526 -0.173939196  0.002399568
#> [27,]  1.784165e-01  0.482747416  0.26618001  0.313200566 -0.235402952
#> [28,]  2.677476e-01 -0.214622647  0.27719076  0.357451017  0.171020307
#>               [,6]        [,7]         [,8]         [,9]
#>  [1,]  0.247829854  0.52798754 -0.113241572 -0.125814820
#>  [2,]  0.244727709  0.06258467 -0.011828709 -0.238265897
#>  [3,] -0.020139012  0.04588632 -0.051253658  0.008161912
#>  [4,] -0.043368233  0.10238891  0.262025388  0.087454323
#>  [5,]  0.033430596 -0.24420440 -0.344728305 -0.761308066
#>  [6,]  0.027115410  0.03067110  0.108247921  0.009916209
#>  [7,] -0.064622501 -0.09942990  0.070749100  0.135681472
#>  [8,]  0.174788924  0.10360894 -0.009554900  0.044570145
#>  [9,] -0.061612803 -0.03153551 -0.052826471 -0.114424867
#> [10,]  0.009276577  0.14203902  0.070041207  0.005902753
#> [11,] -0.089021564 -0.07022757  0.068359937  0.025197082
#> [12,]  0.033905072  0.03232285 -0.059094495  0.011959972
#> [13,]  0.097575339  0.24070141 -0.005886109 -0.150739404
#> [14,] -0.076412085  0.01654473 -0.116198125 -0.061231665
#> [15,]  0.010488219  0.06175494  0.060059362  0.015248359
#> [16,]  0.099402697 -0.01451600  0.028321293  0.053273789
#> [17,] -0.019576037  0.02483030  0.038514244 -0.006846442
#> [18,]  0.029802735  0.05925982 -0.046222212 -0.070318356
#> [19,]  0.092510480 -0.01817637 -0.034007270  0.016776970
#> [20,] -0.011484617  0.02120107 -0.031738672 -0.102677732
#> [21,] -0.317350262 -0.11860198 -0.106380370  0.073157727
#> [22,]  0.031203805  0.05667086 -0.030120871 -0.117811874
#> [23,]  0.031685107  0.10272569  0.113880950 -0.151872119
#> [24,]  0.114309540  0.01834073 -0.135065915 -0.013882945
#> [25,]  0.035571798  0.07520746 -0.236787231  0.060270071
#> [26,] -0.136147306 -0.24065216  0.070152516 -0.128991262
#> [27,] -0.755607728 -0.12023327 -0.077532002 -0.166470983
#> [28,]  0.147104254  0.14540737 -0.100654598 -0.069968166
#> 
#> , , 27
#> 
#>               [,1]         [,2]         [,3]         [,4]         [,5]
#>  [1,] -0.249462924 -0.016311864 -0.271030330 -0.108292969 -0.174352953
#>  [2,]  0.005955363 -0.430052997 -0.367566409 -0.065324378 -0.327879274
#>  [3,]  0.140967685  0.142435817 -0.187440818 -0.038455619 -0.115418335
#>  [4,]  0.114935629 -0.285174717 -0.246290664 -0.035951106 -0.050318548
#>  [5,]  0.122387979 -0.490583254 -0.238929006 -0.144315096 -0.166551811
#>  [6,] -0.091971927  0.235830354  0.181102928  0.334748846  0.161189450
#>  [7,]  0.006919716  0.100064636  0.172911716 -0.286035628  0.049119732
#>  [8,]  0.109079450 -0.073188422 -0.079372440 -0.020519736 -0.066163927
#>  [9,]  0.254870762 -0.211492862 -0.019688161 -0.121038030 -0.139582876
#> [10,] -0.029708991 -0.005915974 -0.078442671  0.097298827  0.027825069
#> [11,]  0.055995610 -0.029857438  0.004428344  0.085009269  0.101846630
#> [12,] -0.130975876  0.080249030  0.023888217  0.048191223  0.055346191
#> [13,] -0.018458771 -0.128939882  0.242442194  0.093872036 -0.002212309
#> [14,]  0.091560515 -0.094265222 -0.305804055 -0.020303547 -0.086177276
#> [15,] -0.070036115 -0.030710084 -0.017090068  0.056321655  0.026271825
#> [16,]  0.137010526  0.156012866  0.153670070  0.052795684 -0.023699865
#> [17,] -0.044559365 -0.053341544 -0.096219827  0.040124463 -0.013678809
#> [18,] -0.153374691 -0.087475972  0.132177372 -0.052642178 -0.107026317
#> [19,] -0.007368107  0.129881685  0.084839328  0.185777120  0.110627414
#> [20,]  0.037779446 -0.173725050 -0.159195192 -0.004754466  0.003797774
#> [21,]  0.054343535  0.027040915  0.084748522  0.015478839 -0.060692700
#> [22,] -0.182296493 -0.246609236 -0.058810681  0.002423201  0.046948733
#> [23,] -0.217119518  0.011164370 -0.305265163  0.048660223 -0.048396121
#> [24,]  0.093162258 -0.008089814 -0.015162237 -0.221776122 -0.243953063
#> [25,] -0.109818978 -0.409747139 -0.026474569 -0.222837533 -0.343963721
#> [26,] -0.273325679 -0.074044531 -0.093199801 -0.145668145  0.111063436
#> [27,] -0.056972163 -0.096050052  0.168587162  0.215021626 -0.140009651
#> [28,]  0.547796213  0.063452789 -0.029513690  0.297115548 -0.154740369
#>               [,6]         [,7]          [,8]         [,9]
#>  [1,] -0.161039189 -0.450823311  0.0121172933  0.072035327
#>  [2,] -0.171237710  0.129328126 -0.0851505968  0.281182901
#>  [3,] -0.008000476  0.046640658 -0.1354846014 -0.193600832
#>  [4,] -0.097392350 -0.150657264 -0.2631063855 -0.106764709
#>  [5,] -0.330782599  0.319187541  0.5804004529  0.299821986
#>  [6,]  0.055111327  0.066605250 -0.0068358685  0.076432769
#>  [7,]  0.262231441  0.028578679 -0.0469947147  0.063587528
#>  [8,] -0.175263616 -0.108767560  0.0536623059  0.063970011
#>  [9,] -0.066084152 -0.061434720 -0.0886097255 -0.121193258
#> [10,] -0.119723524 -0.021241308  0.0024136493  0.011574432
#> [11,]  0.045134197 -0.011717410  0.0910575309  0.048803999
#> [12,] -0.018904897 -0.060247513 -0.0393424881  0.035684714
#> [13,] -0.002986835  0.089795081  0.1848034217  0.100290447
#> [14,] -0.011144583 -0.049650403 -0.0649477783 -0.119319205
#> [15,] -0.015976690 -0.011887667  0.0102386579 -0.039545129
#> [16,]  0.025921293  0.013461283 -0.1115487962  0.008411671
#> [17,]  0.014563143  0.043759351  0.0099671594  0.020330551
#> [18,] -0.002790356  0.014615259  0.0676299531  0.009704031
#> [19,] -0.007048917 -0.028309770 -0.0362061752  0.021712083
#> [20,]  0.070319426  0.034409752 -0.0168428413 -0.024666865
#> [21,] -0.099990612 -0.005532558  0.1099274474  0.027699491
#> [22,]  0.087607572  0.059703444  0.1308353940  0.069852578
#> [23,]  0.011689115 -0.027852511 -0.0096792218 -0.002331694
#> [24,]  0.028399638  0.167923589  0.0947992408 -0.019909541
#> [25,] -0.313002734 -0.001626714  0.2411817928 -0.033658063
#> [26,]  0.081908468  0.084032632  0.0630470976  0.211827868
#> [27,] -0.280812264 -0.059404823 -0.0539175609 -0.630889414
#> [28,] -0.157095249  0.407564499 -0.0008560651 -0.095807818
#> 
#> , , 28
#> 
#>              [,1]         [,2]         [,3]        [,4]        [,5]        [,6]
#>  [1,]  0.49857094 -0.253909757  0.090765285  0.44583185  0.51333853 -0.38810228
#>  [2,]  0.32069748 -0.366108904 -0.040476389  0.24862610  0.29651775  0.19628404
#>  [3,] -0.04947891 -0.103408446  0.040617059  0.13413383 -0.07989606 -0.07633765
#>  [4,]  0.02056183 -0.129052023 -0.225821156 -0.25922364 -0.11675338  0.03012423
#>  [5,]  0.06017821 -0.172518359 -0.376513156  0.04509385  0.08378619  0.13286418
#>  [6,] -0.07262830  0.147047808  0.177536525  0.22235583  0.06004669  0.04371983
#>  [7,]  0.11899226 -0.349093255  0.090968997 -0.20608330  0.08601818  0.04358383
#>  [8,]  0.02276339  0.190679941  0.051561654 -0.05252300  0.05038721 -0.07166531
#>  [9,]  0.17078642 -0.091983349 -0.004773202  0.04664534  0.14833862  0.03201529
#> [10,] -0.18310145 -0.106460505 -0.097610415  0.06128779 -0.05186781  0.11421509
#> [11,] -0.15047673 -0.018326238  0.045972098 -0.02897888  0.03684390 -0.01936966
#> [12,]  0.31588233  0.143029853  0.045811985  0.08101702  0.00605136  0.05273139
#> [13,] -0.23753082 -0.297024055 -0.148456092 -0.16275208 -0.06153286  0.10244534
#> [14,]  0.09092236 -0.160226253 -0.044706145 -0.06041812 -0.08321889 -0.15256063
#> [15,]  0.16859051  0.200007504  0.119085533  0.07188394  0.05837294  0.03237765
#> [16,] -0.10264121 -0.163902525 -0.080695757 -0.05140017 -0.01945627 -0.02198239
#> [17,]  0.12509637 -0.149206884  0.018417523  0.06037769  0.04702016  0.01218909
#> [18,] -0.09716713 -0.016743268 -0.107911140  0.04015276  0.03956579  0.07272257
#> [19,] -0.05047996  0.008657003  0.134080980  0.10226856  0.10122555 -0.02633392
#> [20,] -0.14191881 -0.118670869 -0.153164299 -0.05853668 -0.15422741  0.02721648
#> [21,]  0.26164325  0.129943937  0.091509109  0.16055839  0.16305495 -0.00562783
#> [22,] -0.06876168  0.033187093 -0.003028734 -0.03215214 -0.15918892  0.13639424
#> [23,] -0.05330593  0.184832741 -0.067882156 -0.08909682 -0.03528190 -0.03706073
#> [24,]  0.17770057 -0.164998981 -0.074510748 -0.07211999 -0.09221844 -0.07339161
#> [25,]  0.28327275 -0.270488180 -0.088284808 -0.02600562 -0.07959075 -0.02827137
#> [26,] -0.41716743  0.164943430  0.451680809  0.19448408  0.18022382  0.08497951
#> [27,] -0.58330823  0.205963658  0.465676462  0.46764258  0.06266010 -0.49480159
#> [28,]  0.55070516 -0.306761101  0.232358192  0.31774095 -0.18127822 -0.28771650
#>               [,7]         [,8]         [,9]
#>  [1,] -0.461063633  0.040560750 -0.066225451
#>  [2,]  0.393291035 -0.167759203  0.231983451
#>  [3,] -0.138803196 -0.030623720 -0.153906406
#>  [4,]  0.184674928 -0.009922493  0.175262702
#>  [5,]  0.517443889  0.134953526  0.150500390
#>  [6,] -0.194362475 -0.023422826  0.057359611
#>  [7,]  0.105550277 -0.030413841 -0.077434235
#>  [8,] -0.017511008 -0.123525945 -0.092370139
#>  [9,]  0.045399051 -0.012507856 -0.034772730
#> [10,]  0.083955746  0.028574605  0.025965669
#> [11,] -0.079397956 -0.028216719  0.001543437
#> [12,] -0.026793632 -0.028629807 -0.014719533
#> [13,] -0.020276158 -0.015749035  0.092397646
#> [14,] -0.029993066  0.131617580  0.125301728
#> [15,] -0.084543937 -0.039733965 -0.001027983
#> [16,]  0.029711427 -0.016675744 -0.038192356
#> [17,] -0.081920605 -0.037615663 -0.040486318
#> [18,]  0.019272955 -0.001791374  0.043666527
#> [19,] -0.046081208  0.039830738  0.028423065
#> [20,]  0.001133474  0.111913357  0.092893681
#> [21,] -0.001313110 -0.106187494 -0.029186613
#> [22,] -0.028468575 -0.065948901  0.027344019
#> [23,] -0.018632468 -0.075965419 -0.274908784
#> [24,]  0.045459285  0.088885179  0.108417251
#> [25,]  0.046298501 -0.020697193  0.051440573
#> [26,] -0.024332667  0.325673343 -0.096748238
#> [27,] -0.349468660 -0.136541416  0.068872416
#> [28,]  0.531928421  0.088144059  0.234846777
#> 
#> 
#> attr(,"class")
#> [1] "Tensor3"

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.