perform the SIMLR clustering algorithm

SIMLR(
  X,
  c,
  no.dim = NA,
  k = 10,
  if.impute = FALSE,
  normalize = FALSE,
  cores.ratio = 1
)

Arguments

X

an (m x n) data matrix of gene expression measurements of individual cells or and object of class SCESet

c

number of clusters to be estimated over X

no.dim

number of dimensions

k

tuning parameter

if.impute

should I traspose the input data?

normalize

should I normalize the input data?

cores.ratio

ratio of the number of cores to be used when computing the multi-kernel

Value

clusters the cells based on SIMLR and their similarities

list of 8 elements describing the clusters obtained by SIMLR, of which y are the resulting clusters: y = results of k-means clusterings, S = similarities computed by SIMLR, F = results from network diffiusion, ydata = data referring the the results by k-means, alphaK = clustering coefficients, execution.time = execution time of the present run, converge = iterative convergence values by T-SNE, LF = parameters of the clustering

Examples

data(BuettnerFlorian)
SIMLR(X = BuettnerFlorian$in_X, c = BuettnerFlorian$n_clust, cores.ratio = 0)
#> Computing the multiple Kernels.
#> Performing network diffiusion.
#> Iteration:  1 
#> Iteration:  2 
#> Iteration:  3 
#> Iteration:  4 
#> Iteration:  5 
#> Iteration:  6 
#> Iteration:  7 
#> Iteration:  8 
#> Iteration:  9 
#> Iteration:  10 
#> Iteration:  11 
#> Warning: Maybe you should set a larger value of c.
#> Performing t-SNE.
#> Epoch: Iteration # 100  error is:  0.09136519 
#> Epoch: Iteration # 200  error is:  0.06232451 
#> Epoch: Iteration # 300  error is:  0.06178807 
#> Epoch: Iteration # 400  error is:  0.06139894 
#> Epoch: Iteration # 500  error is:  0.06109825 
#> Epoch: Iteration # 600  error is:  0.06085778 
#> Epoch: Iteration # 700  error is:  0.06066254 
#> Epoch: Iteration # 800  error is:  0.06050107 
#> Epoch: Iteration # 900  error is:  0.06036242 
#> Epoch: Iteration # 1000  error is:  0.06024076 
#> Performing Kmeans.
#> Performing t-SNE.
#> Epoch: Iteration # 100  error is:  11.05351 
#> Epoch: Iteration # 200  error is:  0.8318816 
#> Epoch: Iteration # 300  error is:  0.5324635 
#> Epoch: Iteration # 400  error is:  0.3912998 
#> Epoch: Iteration # 500  error is:  0.3814011 
#> Epoch: Iteration # 600  error is:  0.3628149 
#> Epoch: Iteration # 700  error is:  0.339913 
#> Epoch: Iteration # 800  error is:  0.3751974 
#> Epoch: Iteration # 900  error is:  1.119767 
#> Epoch: Iteration # 1000  error is:  0.7439861 
#> $y
#> K-means clustering with 3 clusters of sizes 72, 52, 58
#> 
#> Cluster means:
#>         [,1]      [,2]      [,3]
#> 1   9.968469 -13.40066  5.428600
#> 2   8.500459 -12.87204 -6.027701
#> 3 -19.995753  28.17574 -1.334807
#> 
#> Clustering vector:
#>   [1] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
#>  [38] 2 1 2 2 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
#>  [75] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
#> [112] 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
#> [149] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
#> 
#> Within cluster sum of squares by cluster:
#> [1] 475.1864 302.5208 227.1145
#>  (between_SS / total_SS =  99.1 %)
#> 
#> Available components:
#> 
#> [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
#> [6] "betweenss"    "size"         "iter"         "ifault"      
#> 
#> $S
#>                [,1]         [,2]         [,3]         [,4]         [,5]
#>   [1,] 0.000000e+00 4.571841e-02 4.667699e-03 1.160802e-02 1.148406e-02
#>   [2,] 4.571841e-02 0.000000e+00 1.471833e-02 1.122092e-02 1.988793e-02
#>   [3,] 4.667699e-03 1.471833e-02 0.000000e+00 6.032254e-03 4.374156e-03
#>   [4,] 1.160802e-02 1.122092e-02 6.032254e-03 0.000000e+00 3.237508e-02
#>   [5,] 1.148406e-02 1.988793e-02 4.374156e-03 3.237508e-02 0.000000e+00
#>   [6,] 1.930599e-03 6.523820e-03 2.345867e-02 2.199813e-03 1.828844e-03
#>   [7,] 1.061090e-02 3.490304e-02 3.328532e-02 1.554923e-02 1.176284e-02
#>   [8,] 9.904151e-03 2.761605e-02 2.089693e-02 2.965817e-02 1.210980e-02
#>   [9,] 1.667634e-03 5.618623e-03 2.206273e-02 1.947626e-03 1.622604e-03
#>  [10,] 1.449259e-03 4.859916e-03 1.836513e-02 1.662554e-03 1.358411e-03
#>  [11,] 2.073974e-03 6.749094e-03 3.528573e-02 2.613967e-03 2.047592e-03
#>  [12,] 3.790652e-02 9.868504e-03 1.925755e-03 8.074730e-03 6.733450e-03
#>  [13,] 8.858808e-03 3.148083e-02 1.989938e-02 8.158813e-03 6.881414e-03
#>  [14,] 9.768395e-03 9.926321e-03 5.270518e-03 4.461640e-02 3.099819e-02
#>  [15,] 8.352991e-03 7.804691e-03 3.545755e-03 2.522881e-02 3.172677e-02
#>  [16,] 4.807953e-04 1.598191e-03 5.799647e-03 5.573430e-04 4.475276e-04
#>  [17,] 7.062645e-03 2.594357e-02 4.179413e-02 6.316035e-03 5.737215e-03
#>  [18,] 1.986546e-03 6.668672e-03 2.494905e-02 2.259110e-03 1.846142e-03
#>  [19,] 3.104300e-03 9.315163e-03 2.342136e-02 4.756369e-03 3.411035e-03
#>  [20,] 1.116518e-02 3.890323e-02 3.449239e-02 1.401267e-02 1.028794e-02
#>  [21,] 1.252055e-02 4.866446e-03 2.463914e-03 7.526087e-03 5.034126e-03
#>  [22,] 2.546194e-02 7.316085e-03 1.664655e-03 6.993384e-03 5.807548e-03
#>  [23,] 1.677978e-02 8.745409e-03 3.045922e-03 2.954784e-02 2.965092e-02
#>  [24,] 1.445582e-02 5.333473e-03 1.851146e-03 1.201282e-02 8.528668e-03
#>  [25,] 3.209780e-02 8.788656e-03 1.921095e-03 1.097175e-02 7.137558e-03
#>  [26,] 2.390474e-02 6.769696e-03 1.669532e-03 6.705531e-03 5.179967e-03
#>  [27,] 3.092398e-02 9.780306e-03 3.179103e-03 1.468558e-02 9.468006e-03
#>  [28,] 2.311307e-02 6.571144e-03 1.496541e-03 6.192568e-03 4.989514e-03
#>  [29,] 9.878259e-03 1.260894e-02 8.225529e-03 3.994997e-02 3.126991e-02
#>  [30,] 3.712460e-02 9.617742e-03 1.842782e-03 7.427269e-03 6.249001e-03
#>  [31,] 5.788793e-03 1.833360e-02 5.115961e-02 7.352657e-03 5.322787e-03
#>  [32,] 3.424727e-02 9.547980e-03 2.040797e-03 1.102896e-02 9.985702e-03
#>  [33,] 1.523200e-02 9.951551e-03 5.492101e-03 2.270909e-02 2.040618e-02
#>  [34,] 3.128358e-02 1.240624e-02 4.044473e-03 2.891445e-02 3.042401e-02
#>  [35,] 5.505047e-03 1.556238e-02 5.550727e-02 7.691611e-03 5.241040e-03
#>  [36,] 9.011406e-03 8.363907e-03 8.986640e-03 1.603391e-02 9.257464e-03
#>  [37,] 2.466114e-02 7.078351e-03 1.630471e-03 7.060945e-03 5.589781e-03
#>  [38,] 1.608077e-02 5.903778e-03 2.164145e-03 5.388767e-03 4.032660e-03
#>  [39,] 2.622853e-04 8.643699e-04 2.949296e-03 3.104181e-04 2.442881e-04
#>  [40,] 2.365245e-02 6.762901e-03 1.527345e-03 7.772068e-03 5.958067e-03
#>  [41,] 8.404970e-03 2.526131e-02 2.163637e-02 1.410998e-02 9.397055e-03
#>  [42,] 3.442521e-02 8.894009e-03 1.664806e-03 7.184155e-03 6.084992e-03
#>  [43,] 2.703801e-04 8.950980e-04 3.194349e-03 3.136514e-04 2.486825e-04
#>  [44,] 8.068200e-03 2.450671e-02 5.061941e-02 1.215338e-02 8.213309e-03
#>  [45,] 2.494090e-02 7.218892e-03 1.691461e-03 7.219720e-03 5.783664e-03
#>  [46,] 4.010714e-04 1.333258e-03 4.695044e-03 4.679725e-04 3.758834e-04
#>  [47,] 1.084346e-03 3.540060e-03 1.392786e-02 1.296104e-03 1.004839e-03
#>  [48,] 8.471795e-03 2.661308e-02 3.624030e-02 1.247294e-02 8.570146e-03
#>  [49,] 1.519629e-04 4.959694e-04 1.864808e-03 1.784611e-04 1.369795e-04
#>  [50,] 3.071602e-02 8.639976e-03 1.852487e-03 1.226132e-02 9.415005e-03
#>  [51,] 1.088922e-02 1.115092e-02 5.968842e-03 5.256945e-02 3.400329e-02
#>  [52,] 4.190823e-05 1.362601e-04 5.083651e-04 4.911634e-05 3.729571e-05
#>  [53,] 1.018503e-02 1.000407e-02 4.464078e-03 4.631043e-02 4.408089e-02
#>  [54,] 8.937621e-05 2.899269e-04 1.019521e-03 1.038502e-04 7.795038e-05
#>  [55,] 2.973972e-02 8.581426e-03 2.037068e-03 1.434600e-02 9.117232e-03
#>  [56,] 1.014103e-02 3.129421e-02 2.162235e-02 1.212639e-02 8.985614e-03
#>  [57,] 2.291744e-02 8.655893e-03 2.833378e-03 3.613792e-02 1.514857e-02
#>  [58,] 1.108101e-02 1.257906e-02 8.519843e-03 3.655064e-02 2.008026e-02
#>  [59,] 1.144115e-02 4.279541e-02 1.611014e-02 8.883147e-03 1.042417e-02
#>  [60,] 9.758000e-20 0.000000e+00 5.812304e-18 9.450600e-18 5.262184e-19
#>  [61,] 0.000000e+00 0.000000e+00 8.606073e-18 0.000000e+00 0.000000e+00
#>  [62,] 1.166196e-18 0.000000e+00 0.000000e+00 0.000000e+00 3.114563e-18
#>  [63,] 3.326424e-20 0.000000e+00 0.000000e+00 7.521436e-18 4.075847e-18
#>  [64,] 1.862561e-18 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#>  [65,] 7.388115e-19 0.000000e+00 2.644628e-18 7.973018e-19 0.000000e+00
#>  [66,] 5.852484e-19 5.725445e-18 3.178709e-18 1.382074e-17 4.497342e-18
#>  [67,] 0.000000e+00 0.000000e+00 2.664237e-17 0.000000e+00 0.000000e+00
#>  [68,] 3.147568e-19 0.000000e+00 5.251470e-18 2.232110e-17 0.000000e+00
#>  [69,] 1.886999e-19 0.000000e+00 9.845905e-19 1.797935e-17 0.000000e+00
#>  [70,] 1.649563e-18 0.000000e+00 7.389691e-18 0.000000e+00 0.000000e+00
#>  [71,] 5.974376e-19 3.373338e-18 1.182233e-17 7.852632e-18 3.485300e-18
#>  [72,] 4.177105e-19 5.939800e-18 1.544011e-17 1.817625e-17 1.865180e-18
#>  [73,] 9.891520e-19 3.213660e-18 1.504822e-17 1.295027e-18 4.758245e-18
#>  [74,] 2.679062e-19 0.000000e+00 1.908506e-17 0.000000e+00 0.000000e+00
#>  [75,] 1.642978e-18 0.000000e+00 1.368706e-18 1.221364e-17 0.000000e+00
#>  [76,] 6.404967e-20 0.000000e+00 9.205841e-18 0.000000e+00 0.000000e+00
#>  [77,] 0.000000e+00 6.725232e-20 1.043730e-17 5.487245e-18 0.000000e+00
#>  [78,] 5.771528e-19 0.000000e+00 1.812959e-17 8.158353e-19 6.352719e-19
#>  [79,] 1.731644e-18 0.000000e+00 2.923209e-19 3.152636e-18 0.000000e+00
#>  [80,] 0.000000e+00 2.717114e-19 0.000000e+00 0.000000e+00 1.697965e-18
#>  [81,] 5.956378e-19 1.136406e-18 0.000000e+00 5.862497e-18 5.412572e-18
#>  [82,] 3.474121e-19 1.672226e-18 1.813960e-17 0.000000e+00 6.342624e-19
#>  [83,] 5.812488e-19 0.000000e+00 2.695811e-18 1.174989e-17 0.000000e+00
#>  [84,] 0.000000e+00 3.252295e-18 0.000000e+00 0.000000e+00 2.288571e-18
#>  [85,] 0.000000e+00 0.000000e+00 1.344110e-17 9.825156e-18 0.000000e+00
#>  [86,] 0.000000e+00 0.000000e+00 5.390517e-18 0.000000e+00 0.000000e+00
#>  [87,] 0.000000e+00 0.000000e+00 1.211450e-17 0.000000e+00 2.580468e-18
#>  [88,] 9.373082e-20 2.125621e-18 2.184732e-17 7.060451e-18 4.156935e-19
#>  [89,] 1.324742e-18 6.449115e-19 1.821223e-17 0.000000e+00 0.000000e+00
#>  [90,] 0.000000e+00 0.000000e+00 5.455243e-18 1.018027e-18 1.428123e-18
#>  [91,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#>  [92,] 0.000000e+00 0.000000e+00 4.020082e-18 0.000000e+00 1.867999e-18
#>  [93,] 5.034923e-20 0.000000e+00 0.000000e+00 2.193672e-17 2.814833e-18
#>  [94,] 0.000000e+00 0.000000e+00 5.581088e-18 0.000000e+00 4.114429e-18
#>  [95,] 5.692673e-19 0.000000e+00 0.000000e+00 0.000000e+00 2.698418e-18
#>  [96,] 1.480895e-19 1.176587e-18 0.000000e+00 0.000000e+00 7.031694e-18
#>  [97,] 1.153534e-19 1.917501e-18 0.000000e+00 1.666212e-18 5.332442e-18
#>  [98,] 2.400024e-19 3.388515e-18 2.239420e-17 1.519277e-17 2.344526e-18
#>  [99,] 0.000000e+00 0.000000e+00 1.397902e-17 0.000000e+00 5.124571e-19
#> [100,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.806597e-18
#> [101,] 4.834615e-19 0.000000e+00 1.581194e-17 1.543608e-18 0.000000e+00
#> [102,] 7.597582e-19 6.744259e-19 0.000000e+00 0.000000e+00 3.992031e-18
#> [103,] 9.995242e-19 1.652005e-18 0.000000e+00 1.421996e-17 3.290363e-18
#> [104,] 5.618792e-19 0.000000e+00 1.115510e-17 0.000000e+00 7.481957e-19
#> [105,] 0.000000e+00 1.557524e-18 1.815083e-17 2.070389e-17 0.000000e+00
#> [106,] 0.000000e+00 0.000000e+00 1.263345e-17 2.549334e-17 0.000000e+00
#> [107,] 2.715082e-19 0.000000e+00 4.351953e-18 1.175882e-17 0.000000e+00
#> [108,] 0.000000e+00 0.000000e+00 0.000000e+00 6.399371e-18 0.000000e+00
#> [109,] 9.830496e-19 0.000000e+00 2.039725e-17 1.393819e-17 0.000000e+00
#> [110,] 0.000000e+00 3.986026e-18 2.860642e-18 9.966810e-18 4.739628e-18
#> [111,] 1.095726e-19 2.471331e-18 0.000000e+00 0.000000e+00 6.119438e-18
#> [112,] 0.000000e+00 0.000000e+00 5.820739e-18 0.000000e+00 0.000000e+00
#> [113,] 1.597239e-19 0.000000e+00 0.000000e+00 1.537375e-17 1.668123e-18
#> [114,] 0.000000e+00 0.000000e+00 5.923642e-18 1.497464e-17 0.000000e+00
#> [115,] 0.000000e+00 1.108898e-18 8.760021e-19 8.782050e-19 5.021209e-18
#> [116,] 3.333608e-19 0.000000e+00 9.199943e-18 2.838096e-17 0.000000e+00
#> [117,] 3.564930e-19 0.000000e+00 1.268169e-17 1.855627e-18 0.000000e+00
#> [118,] 2.386327e-05 7.807566e-05 2.841041e-04 2.799645e-05 2.160380e-05
#> [119,] 5.981815e-06 1.962387e-05 7.175454e-05 7.014870e-06 5.452103e-06
#> [120,] 7.811005e-06 2.595768e-05 9.518028e-05 9.193892e-06 7.399360e-06
#> [121,] 1.317146e-05 4.269292e-05 1.542410e-04 1.535502e-05 1.152789e-05
#> [122,] 6.611312e-06 2.213350e-05 8.110038e-05 7.797072e-06 6.397671e-06
#> [123,] 2.584761e-05 8.472415e-05 3.021363e-04 3.020998e-05 2.338066e-05
#> [124,] 1.432790e-05 4.673338e-05 1.689693e-04 1.674171e-05 1.279348e-05
#> [125,] 6.790362e-06 2.295520e-05 8.430325e-05 8.032146e-06 6.759248e-06
#> [126,] 4.477675e-06 1.484147e-05 5.437538e-05 5.266478e-06 4.209011e-06
#> [127,] 1.829431e-05 5.947977e-05 2.150174e-04 2.137780e-05 1.619633e-05
#> [128,] 5.370744e-06 1.774529e-05 6.492084e-05 6.310096e-06 4.999925e-06
#> [129,] 1.490757e-04 5.018123e-04 1.775185e-03 1.750401e-04 1.451699e-04
#> [130,] 6.302455e-06 2.113946e-05 7.754729e-05 7.438557e-06 6.134340e-06
#> [131,] 7.597217e-06 2.545996e-05 9.354505e-05 8.963928e-06 7.375873e-06
#> [132,] 1.814070e-05 5.988733e-05 2.177350e-04 2.126663e-05 1.679885e-05
#> [133,] 1.933624e-05 6.431783e-05 2.360147e-04 2.275653e-05 1.835836e-05
#> [134,] 1.577312e-05 5.107239e-05 1.852542e-04 1.843832e-05 1.381798e-05
#> [135,] 1.391078e-04 4.596326e-04 1.617272e-03 1.629525e-04 1.287836e-04
#> [136,] 6.394302e-06 2.149372e-05 7.885816e-05 7.550871e-06 6.261665e-06
#> [137,] 3.386600e-05 1.127155e-04 4.054551e-04 3.971718e-05 3.203024e-05
#> [138,] 2.686421e-05 8.912383e-05 3.208425e-04 3.151942e-05 2.521319e-05
#> [139,] 4.625151e-05 1.523096e-04 5.579477e-04 5.455964e-05 4.290478e-05
#> [140,] 1.143911e-05 3.717316e-05 1.367470e-04 1.337944e-05 1.013257e-05
#> [141,] 1.210277e-04 3.992753e-04 1.405441e-03 1.415554e-04 1.113697e-04
#> [142,] 1.582695e-05 5.200448e-05 1.893357e-04 1.853945e-05 1.446268e-05
#> [143,] 8.032813e-06 2.604737e-05 9.444284e-05 9.381564e-06 7.056123e-06
#> [144,] 5.930890e-05 1.939538e-04 6.849534e-04 6.950309e-05 5.348431e-05
#> [145,] 2.930641e-05 9.555538e-05 3.518419e-04 3.432100e-05 2.623973e-05
#> [146,] 3.137970e-05 1.035464e-04 3.712124e-04 3.670487e-05 2.892323e-05
#> [147,] 1.939952e-05 6.356630e-05 2.291203e-04 2.267993e-05 1.754539e-05
#> [148,] 1.034693e-05 3.326415e-05 1.197611e-04 1.204865e-05 8.840161e-06
#> [149,] 1.364915e-05 4.430516e-05 1.595442e-04 1.592671e-05 1.200632e-05
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#>                [,6]         [,7]         [,8]         [,9]        [,10]
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#> [146,] 1.838753e-03 1.824902e-04 1.146998e-04 1.432259e-03 1.208187e-03
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#> [154,] 1.041133e-03 9.578698e-05 5.930320e-05 7.993070e-04 6.251236e-04
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#> [162,] 3.014289e-04 2.804120e-05 1.736688e-05 2.331070e-04 1.828229e-04
#> [163,] 7.637149e-04 7.423654e-05 4.623451e-05 6.033364e-04 4.869498e-04
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#> [165,] 1.417311e-03 1.244013e-04 7.730305e-05 1.048796e-03 8.213836e-04
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#> [169,] 1.169573e-03 1.162913e-04 7.275295e-05 9.218349e-04 7.629551e-04
#> [170,] 1.000670e-03 9.163898e-05 5.715512e-05 7.588856e-04 6.057071e-04
#> [171,] 2.530829e-03 2.521976e-04 1.597882e-04 1.947543e-03 1.690001e-03
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#> [182,] 2.322384e-04 2.140707e-05 1.314285e-05 1.795461e-04 1.377582e-04
#>               [,11]        [,12]        [,13]        [,14]        [,15]
#>   [1,] 2.073974e-03 3.790652e-02 8.858808e-03 9.768395e-03 8.352991e-03
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#>               [,16]        [,17]        [,18]        [,19]        [,20]
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#>               [,21]        [,22]        [,23]        [,24]        [,25]
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#>               [,31]        [,32]        [,33]        [,34]        [,35]
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#> [182,] 4.318445e-06 1.143304e-06 1.296045e-06 6.395169e-04 1.050391e-06
#>               [,41]        [,42]        [,43]        [,44]        [,45]
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#> [163,] 5.962480e-05 4.130099e-06 2.241351e-03 8.654614e-05 4.121725e-06
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#> [169,] 9.333507e-05 6.497064e-06 4.326151e-03 1.366038e-04 6.468362e-06
#> [170,] 7.453603e-05 5.146131e-06 2.468689e-03 1.046382e-04 5.047978e-06
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#> [182,] 1.694799e-05 1.169139e-06 5.538406e-04 2.488631e-05 1.189427e-06
#>               [,46]        [,47]        [,48]        [,49]        [,50]
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#>               [,51]        [,52]        [,53]        [,54]        [,55]
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#> [182,] 1.290028e-05 1.966549e-06 5.657378e-06 1.346982e-05 9.828238e-18
#>               [,61]        [,62]        [,63]        [,64]        [,65]
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#> [168,] 0.000000e+00 3.010739e-17 6.005716e-18 0.000000e+00 0.000000e+00
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#> [182,] 0.000000e+00 1.480177e-17 1.319224e-17 4.529736e-18 5.490025e-18
#>               [,66]        [,67]        [,68]        [,69]        [,70]
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#> [113,] 7.197014e-03 6.243353e-03 1.964720e-02 1.081070e-02 2.013233e-02
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#> [151,] 1.634150e-17 2.518602e-19 1.560808e-17 8.157635e-18 2.553102e-17
#> [152,] 0.000000e+00 0.000000e+00 2.420606e-17 1.323028e-17 3.511232e-17
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#> [160,] 0.000000e+00 2.980727e-17 3.186557e-18 3.115675e-17 1.655853e-17
#> [161,] 2.069928e-17 1.310187e-17 2.107299e-17 3.544730e-17 3.128059e-17
#> [162,] 3.780886e-18 3.645977e-19 0.000000e+00 0.000000e+00 2.547569e-18
#> [163,] 3.015285e-17 5.845890e-18 2.366768e-18 0.000000e+00 7.443127e-18
#> [164,] 1.860948e-17 3.378944e-17 0.000000e+00 0.000000e+00 0.000000e+00
#> [165,] 1.090305e-17 7.025041e-18 0.000000e+00 0.000000e+00 0.000000e+00
#> [166,] 3.071104e-17 3.326128e-17 0.000000e+00 4.352274e-18 1.901877e-17
#> [167,] 0.000000e+00 2.333899e-17 3.527844e-17 1.644683e-17 2.009449e-17
#> [168,] 1.524534e-17 1.097098e-17 0.000000e+00 1.737446e-17 5.014421e-19
#> [169,] 4.502963e-18 5.630670e-18 0.000000e+00 0.000000e+00 0.000000e+00
#> [170,] 1.943347e-18 1.561094e-17 1.276426e-17 2.961493e-17 0.000000e+00
#> [171,] 0.000000e+00 0.000000e+00 1.479307e-17 4.941052e-17 3.133785e-18
#> [172,] 7.164669e-18 1.620529e-17 0.000000e+00 0.000000e+00 8.688220e-18
#> [173,] 8.051440e-19 0.000000e+00 2.038423e-18 0.000000e+00 0.000000e+00
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#> [177,] 0.000000e+00 0.000000e+00 2.161274e-17 1.079588e-17 1.105233e-17
#> [178,] 8.959166e-18 0.000000e+00 1.367982e-17 1.602506e-17 4.707664e-18
#> [179,] 0.000000e+00 2.129395e-17 0.000000e+00 0.000000e+00 0.000000e+00
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#> [181,] 0.000000e+00 4.388580e-17 3.674396e-18 0.000000e+00 5.011309e-18
#> [182,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.297709e-17
#>               [,71]        [,72]        [,73]        [,74]        [,75]
#>   [1,] 5.974376e-19 4.177105e-19 9.891520e-19 2.679062e-19 1.642978e-18
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#>   [4,] 7.852632e-18 1.817625e-17 1.295027e-18 0.000000e+00 1.221364e-17
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#>   [8,] 2.181100e-17 2.018406e-17 1.296610e-17 1.269419e-17 2.178623e-17
#>   [9,] 7.763874e-18 0.000000e+00 3.189959e-18 1.154280e-18 8.055284e-18
#>  [10,] 1.241451e-17 0.000000e+00 3.308406e-18 1.795762e-18 1.287657e-17
#>  [11,] 8.208646e-18 1.035314e-17 6.459948e-18 8.835165e-19 0.000000e+00
#>  [12,] 2.311377e-18 0.000000e+00 0.000000e+00 3.533173e-18 0.000000e+00
#>  [13,] 1.647781e-17 1.184794e-17 7.064125e-18 1.834654e-17 1.211957e-17
#>  [14,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
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#>  [22,] 7.917195e-18 2.881825e-18 5.287387e-20 7.801235e-18 9.923445e-18
#>  [23,] 3.025656e-18 2.785867e-18 0.000000e+00 0.000000e+00 0.000000e+00
#>  [24,] 0.000000e+00 4.739373e-18 4.427839e-18 0.000000e+00 0.000000e+00
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#>  [26,] 4.531410e-18 0.000000e+00 0.000000e+00 3.302994e-18 0.000000e+00
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#>  [32,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.349749e-17
#>  [33,] 2.579091e-18 5.857759e-19 2.511976e-19 3.885483e-18 0.000000e+00
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#>  [37,] 2.263005e-18 0.000000e+00 2.017239e-17 2.242086e-17 0.000000e+00
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#>  [49,] 1.982811e-17 1.216535e-17 1.028223e-17 8.529665e-18 1.163608e-17
#>  [50,] 2.464533e-18 6.642230e-19 5.069900e-18 6.307344e-18 0.000000e+00
#>  [51,] 0.000000e+00 0.000000e+00 1.674100e-17 1.891705e-17 4.511667e-18
#>  [52,] 6.776491e-18 2.080465e-18 0.000000e+00 0.000000e+00 5.223020e-18
#>  [53,] 0.000000e+00 0.000000e+00 0.000000e+00 1.178627e-17 0.000000e+00
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#>  [57,] 8.287446e-18 7.530675e-18 8.115810e-18 0.000000e+00 1.327630e-17
#>  [58,] 7.402321e-18 1.801159e-17 0.000000e+00 0.000000e+00 0.000000e+00
#>  [59,] 0.000000e+00 7.142684e-19 8.290743e-18 3.942314e-19 0.000000e+00
#>  [60,] 1.513391e-02 1.124255e-02 3.001151e-03 2.977563e-03 2.707960e-02
#>  [61,] 5.328154e-03 4.666174e-03 2.226742e-02 1.949047e-02 2.704369e-03
#>  [62,] 1.081474e-02 6.685979e-03 1.649027e-02 3.038947e-02 8.275410e-03
#>  [63,] 2.059083e-02 3.043764e-02 5.142581e-03 4.365170e-03 1.500252e-02
#>  [64,] 5.862048e-03 5.882274e-03 1.556381e-02 4.572324e-02 3.165285e-03
#>  [65,] 2.812950e-02 1.797713e-02 3.937862e-03 3.868828e-03 2.348135e-02
#>  [66,] 8.771859e-03 5.418308e-03 4.013290e-02 1.239944e-02 4.441094e-03
#>  [67,] 6.143783e-03 4.807308e-03 1.983315e-02 2.285863e-02 3.449689e-03
#>  [68,] 1.105689e-02 7.937380e-03 3.762756e-03 2.851950e-03 1.919958e-02
#>  [69,] 1.215504e-02 8.925168e-03 3.121297e-03 2.934350e-03 3.450069e-02
#>  [70,] 1.934962e-02 2.481494e-02 3.153527e-03 3.515606e-03 3.201174e-02
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#>  [72,] 2.988669e-02 0.000000e+00 4.742091e-03 8.085099e-03 1.253839e-02
#>  [73,] 6.724135e-03 4.742091e-03 0.000000e+00 1.141147e-02 3.312317e-03
#>  [74,] 6.351004e-03 8.085099e-03 1.141147e-02 0.000000e+00 3.974368e-03
#>  [75,] 1.356926e-02 1.253839e-02 3.312317e-03 3.974368e-03 0.000000e+00
#>  [76,] 6.186349e-03 7.803306e-03 1.565477e-02 3.275128e-02 3.175861e-03
#>  [77,] 5.005527e-03 4.930809e-03 1.683717e-02 4.238880e-02 3.159950e-03
#>  [78,] 1.017660e-02 1.158830e-02 2.161125e-03 2.436267e-03 2.600271e-02
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#>  [80,] 8.469374e-03 4.960483e-03 4.254995e-02 1.083372e-02 3.872692e-03
#>  [81,] 3.185699e-02 1.693370e-02 7.674387e-03 5.076816e-03 1.382313e-02
#>  [82,] 5.252546e-03 3.848657e-03 3.176582e-02 1.199565e-02 4.170871e-03
#>  [83,] 1.027167e-02 8.890125e-03 2.263054e-03 2.433036e-03 2.561638e-02
#>  [84,] 3.148833e-02 1.207589e-02 1.182643e-02 5.699928e-03 9.319657e-03
#>  [85,] 5.707897e-03 4.526248e-03 3.523952e-02 1.327870e-02 2.919105e-03
#>  [86,] 5.902546e-03 4.511663e-03 2.241292e-02 1.156916e-02 3.057740e-03
#>  [87,] 5.238576e-03 4.153311e-03 2.609604e-02 1.144054e-02 2.729934e-03
#>  [88,] 9.685387e-03 6.425411e-03 2.083438e-02 1.405753e-02 4.266234e-03
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#>  [90,] 5.308625e-03 3.667614e-03 3.416266e-02 1.440210e-02 3.313061e-03
#>  [91,] 5.355880e-03 4.617029e-03 3.186159e-02 1.457027e-02 2.533803e-03
#>  [92,] 8.320204e-03 7.234726e-03 1.784912e-02 7.053943e-03 3.969358e-03
#>  [93,] 1.326892e-02 1.053055e-02 2.958282e-03 3.346138e-03 3.993074e-02
#>  [94,] 2.138566e-02 2.468702e-02 7.962409e-03 4.937232e-03 6.521674e-03
#>  [95,] 7.479512e-03 6.026588e-03 3.589586e-02 1.812594e-02 3.568810e-03
#>  [96,] 1.569951e-02 1.289775e-02 1.487683e-02 6.914474e-03 5.987667e-03
#>  [97,] 3.867100e-02 2.382116e-02 5.896169e-03 5.703051e-03 1.189068e-02
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#>  [99,] 6.878653e-03 8.161517e-03 1.129427e-02 6.930995e-02 6.114314e-03
#> [100,] 1.193657e-02 7.509765e-03 3.107535e-02 9.285511e-03 4.308239e-03
#> [101,] 1.126042e-02 3.003773e-02 2.142490e-03 3.153772e-03 2.114032e-02
#> [102,] 7.542963e-03 7.319972e-03 1.547403e-02 1.664286e-02 3.075755e-03
#> [103,] 1.402403e-02 2.851793e-02 8.404622e-03 3.520465e-02 4.787968e-03
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#> [167,] 1.533504e-17 3.179390e-17 1.717185e-17 2.332499e-17 0.000000e+00
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#> [169,] 2.370366e-17 1.533967e-17 0.000000e+00 0.000000e+00 5.284222e-18
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#> [182,] 0.000000e+00 3.877390e-18 9.160716e-18 1.107925e-17 0.000000e+00
#>               [,81]        [,82]        [,83]        [,84]        [,85]
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#>  [61,] 4.962108e-03 1.451458e-02 1.842937e-03 6.388915e-03 3.692293e-02
#>  [62,] 9.166273e-03 1.294836e-02 4.623129e-03 1.132492e-02 1.444531e-02
#>  [63,] 3.584855e-02 5.417336e-03 7.502084e-03 1.331795e-02 4.382497e-03
#>  [64,] 5.543520e-03 1.166849e-02 2.072197e-03 6.748288e-03 1.883930e-02
#>  [65,] 2.000331e-02 3.781054e-03 2.593166e-02 1.143122e-02 3.603111e-03
#>  [66,] 9.201835e-03 1.622098e-02 3.156746e-03 1.056496e-02 2.141035e-02
#>  [67,] 5.822267e-03 1.656680e-02 2.272361e-03 7.133677e-03 2.317397e-02
#>  [68,] 1.024149e-02 4.261863e-03 2.047933e-02 6.735444e-03 3.823489e-03
#>  [69,] 1.402562e-02 2.940470e-03 4.150587e-02 6.720637e-03 2.840154e-03
#>  [70,] 1.706098e-02 3.655315e-03 1.478395e-02 9.269901e-03 2.722226e-03
#>  [71,] 3.185699e-02 5.252546e-03 1.027167e-02 3.148833e-02 5.707897e-03
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#>  [73,] 7.674387e-03 3.176582e-02 2.263054e-03 1.182643e-02 3.523952e-02
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#>  [76,] 5.046244e-03 1.308889e-02 2.090587e-03 5.966553e-03 1.987107e-02
#>  [77,] 4.430806e-03 2.412983e-02 1.978549e-03 5.652042e-03 2.094026e-02
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#>  [92,] 7.465988e-03 1.103087e-02 3.084609e-03 1.249604e-02 2.103869e-02
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#>  [94,] 1.511894e-02 5.104259e-03 4.914910e-03 2.653842e-02 7.784216e-03
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#> [107,] 8.462880e-03 3.790274e-03 1.385578e-02 7.510919e-03 3.326368e-03
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#>               [,96]        [,97]        [,98]        [,99]       [,100]
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#> [163,] 2.809655e-17 0.000000e+00 0.000000e+00 1.452492e-17 1.942891e-17
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#> [180,] 0.000000e+00 1.325097e-17 6.462071e-18 0.000000e+00 0.000000e+00
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#> [182,] 0.000000e+00 1.594894e-20 0.000000e+00 0.000000e+00 0.000000e+00
#>              [,101]       [,102]       [,103]       [,104]       [,105]
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#> [182,] 5.921071e-19 5.486450e-18 4.810766e-18 9.980248e-19 3.174138e-18
#>              [,111]       [,112]       [,113]       [,114]       [,115]
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#> [123,] 2.689879e-18 2.923063e-17 1.149879e-17 2.606368e-17 1.430110e-17
#> [124,] 9.615940e-18 3.247646e-17 0.000000e+00 7.882430e-18 1.609842e-17
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#> [130,] 0.000000e+00 2.609976e-18 1.244380e-18 2.808763e-18 0.000000e+00
#> [131,] 3.867359e-18 2.072396e-17 0.000000e+00 0.000000e+00 0.000000e+00
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#> [138,] 2.042112e-17 4.577248e-18 1.015183e-17 0.000000e+00 4.770530e-18
#> [139,] 0.000000e+00 1.831831e-17 5.239586e-19 0.000000e+00 0.000000e+00
#> [140,] 1.732426e-17 9.428874e-18 0.000000e+00 0.000000e+00 3.342675e-17
#> [141,] 2.624287e-17 1.391859e-18 3.685548e-17 1.236703e-17 1.783756e-17
#> [142,] 0.000000e+00 1.898099e-17 0.000000e+00 1.054199e-18 0.000000e+00
#> [143,] 0.000000e+00 4.259765e-18 0.000000e+00 2.186786e-17 0.000000e+00
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#> [148,] 6.209709e-18 0.000000e+00 6.200082e-18 1.263806e-17 6.574634e-18
#> [149,] 1.579575e-17 1.651332e-17 8.084654e-18 9.291148e-18 1.979452e-18
#> [150,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> [151,] 3.080878e-17 1.780663e-17 1.223467e-17 4.155894e-17 3.384999e-17
#> [152,] 2.017483e-17 0.000000e+00 9.613050e-18 0.000000e+00 7.010266e-18
#> [153,] 7.909487e-19 1.770547e-17 5.236008e-18 0.000000e+00 2.882175e-18
#> [154,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
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#> [157,] 4.034889e-18 0.000000e+00 5.735693e-18 2.382944e-18 0.000000e+00
#> [158,] 9.700770e-18 0.000000e+00 0.000000e+00 3.146642e-18 2.729125e-17
#> [159,] 1.730713e-18 0.000000e+00 1.166220e-18 8.513618e-18 7.610040e-18
#> [160,] 0.000000e+00 0.000000e+00 0.000000e+00 9.812709e-18 0.000000e+00
#> [161,] 0.000000e+00 9.274314e-18 5.673211e-18 3.191119e-17 0.000000e+00
#> [162,] 2.497168e-17 4.540127e-18 1.040095e-17 1.116416e-17 3.255140e-17
#> [163,] 4.120997e-18 2.254140e-17 1.071440e-17 0.000000e+00 0.000000e+00
#> [164,] 1.062210e-17 1.600453e-17 2.129766e-17 4.714186e-18 0.000000e+00
#> [165,] 0.000000e+00 9.642290e-18 2.015561e-18 0.000000e+00 2.349785e-18
#> [166,] 2.240456e-17 2.868634e-17 8.990973e-18 0.000000e+00 2.565237e-17
#> [167,] 0.000000e+00 7.788578e-18 1.633774e-17 8.715930e-18 0.000000e+00
#> [168,] 8.709838e-18 0.000000e+00 0.000000e+00 1.619837e-17 2.217971e-17
#> [169,] 1.500412e-18 1.299036e-17 3.045081e-18 0.000000e+00 1.004008e-17
#> [170,] 0.000000e+00 4.638709e-19 6.455526e-18 0.000000e+00 7.523664e-18
#> [171,] 0.000000e+00 0.000000e+00 0.000000e+00 1.167423e-17 8.723689e-19
#> [172,] 9.441995e-18 1.005162e-17 0.000000e+00 3.791198e-18 2.711938e-18
#> [173,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#> [174,] 0.000000e+00 0.000000e+00 1.147365e-17 0.000000e+00 0.000000e+00
#> [175,] 0.000000e+00 0.000000e+00 2.381403e-17 1.023767e-17 0.000000e+00
#> [176,] 1.391794e-18 5.675234e-18 0.000000e+00 0.000000e+00 1.079497e-18
#> [177,] 1.330801e-17 0.000000e+00 3.396706e-17 2.663632e-17 1.764476e-17
#> [178,] 0.000000e+00 1.188914e-17 0.000000e+00 3.704175e-17 0.000000e+00
#> [179,] 2.358492e-17 2.244785e-18 8.692427e-19 0.000000e+00 2.399441e-17
#> [180,] 9.033634e-19 0.000000e+00 0.000000e+00 1.265875e-17 1.235459e-17
#> [181,] 6.055403e-18 0.000000e+00 0.000000e+00 0.000000e+00 8.375087e-19
#> [182,] 2.847386e-19 0.000000e+00 5.357343e-19 1.762270e-18 3.902979e-18
#>              [,116]       [,117]       [,118]       [,119]       [,120]
#>   [1,] 3.333608e-19 3.564930e-19 2.386327e-05 5.981815e-06 7.811005e-06
#>   [2,] 0.000000e+00 0.000000e+00 7.807566e-05 1.962387e-05 2.595768e-05
#>   [3,] 9.199943e-18 1.268169e-17 2.841041e-04 7.175454e-05 9.518028e-05
#>   [4,] 2.838096e-17 1.855627e-18 2.799645e-05 7.014870e-06 9.193892e-06
#>   [5,] 0.000000e+00 0.000000e+00 2.160380e-05 5.452103e-06 7.399360e-06
#>   [6,] 8.884770e-18 0.000000e+00 1.424777e-03 3.776294e-04 4.935095e-04
#>   [7,] 1.842630e-18 0.000000e+00 1.400711e-04 3.508437e-05 4.528791e-05
#>   [8,] 3.040353e-17 1.309761e-17 8.746730e-05 2.182963e-05 2.840474e-05
#>   [9,] 4.097937e-18 5.748812e-18 1.139449e-03 2.895577e-04 3.717422e-04
#>  [10,] 4.947048e-18 1.041905e-17 9.203947e-04 2.305378e-04 3.016694e-04
#>  [11,] 1.077486e-17 0.000000e+00 9.481070e-04 2.451484e-04 3.226945e-04
#>  [12,] 0.000000e+00 0.000000e+00 9.091796e-06 2.268566e-06 2.906515e-06
#>  [13,] 1.444082e-17 6.789288e-18 8.358062e-05 2.077374e-05 2.804390e-05
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#>  [15,] 1.366237e-17 7.820236e-18 1.607315e-05 4.057512e-06 5.567326e-06
#>  [16,] 4.266188e-18 0.000000e+00 3.720219e-03 1.047179e-03 1.402923e-03
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#>  [19,] 0.000000e+00 1.416562e-17 3.527000e-04 9.083202e-05 1.261941e-04
#>  [20,] 1.268693e-17 0.000000e+00 1.314277e-04 3.262087e-05 4.188771e-05
#>  [21,] 4.861537e-18 6.835925e-18 9.369803e-06 2.354172e-06 3.218804e-06
#>  [22,] 2.990302e-17 0.000000e+00 7.688636e-06 1.918884e-06 2.471085e-06
#>  [23,] 0.000000e+00 0.000000e+00 1.483598e-05 3.730846e-06 4.956516e-06
#>  [24,] 0.000000e+00 5.955546e-18 8.026825e-06 2.020516e-06 2.745243e-06
#>  [25,] 1.856204e-19 2.321148e-17 8.839443e-06 2.217369e-06 2.937042e-06
#>  [26,] 0.000000e+00 0.000000e+00 7.405834e-06 1.854267e-06 2.443822e-06
#>  [27,] 2.474452e-18 0.000000e+00 1.371598e-05 3.449987e-06 4.670634e-06
#>  [28,] 0.000000e+00 0.000000e+00 6.808638e-06 1.703860e-06 2.234179e-06
#>  [29,] 0.000000e+00 0.000000e+00 4.519146e-05 1.139207e-05 1.502182e-05
#>  [30,] 1.231325e-18 1.232420e-18 8.717832e-06 2.175894e-06 2.794227e-06
#>  [31,] 2.922768e-17 0.000000e+00 2.220770e-04 5.307881e-05 6.925376e-05
#>  [32,] 9.907712e-18 0.000000e+00 9.609692e-06 2.409275e-06 3.171560e-06
#>  [33,] 0.000000e+00 8.274659e-18 2.385458e-05 5.980800e-06 7.931644e-06
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#>  [38,] 8.562200e-18 3.817107e-18 8.991733e-06 2.252370e-06 3.022099e-06
#>  [39,] 4.132130e-18 9.930331e-18 5.260973e-03 1.121102e-03 1.428665e-03
#>  [40,] 0.000000e+00 0.000000e+00 7.029466e-06 1.759855e-06 2.305659e-06
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#>  [44,] 3.392830e-18 9.492075e-18 1.630054e-04 4.037313e-05 5.153805e-05
#>  [45,] 0.000000e+00 0.000000e+00 7.772283e-06 1.938749e-06 2.489651e-06
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#>  [47,] 9.108585e-19 0.000000e+00 1.784161e-03 4.661810e-04 6.378645e-04
#>  [48,] 0.000000e+00 0.000000e+00 1.609965e-04 3.999425e-05 5.105959e-05
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#>  [50,] 9.783837e-19 0.000000e+00 8.685388e-06 2.183347e-06 2.919199e-06
#>  [51,] 0.000000e+00 2.494774e-18 2.837565e-05 7.125207e-06 9.451040e-06
#>  [52,] 5.743464e-18 0.000000e+00 1.181015e-02 3.653092e-03 5.239908e-03
#>  [53,] 1.375075e-17 0.000000e+00 2.158151e-05 5.425863e-06 7.206448e-06
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#>  [55,] 0.000000e+00 0.000000e+00 9.418174e-06 2.364002e-06 3.137756e-06
#>  [56,] 0.000000e+00 0.000000e+00 8.723002e-05 2.170941e-05 2.846775e-05
#>  [57,] 2.148601e-17 0.000000e+00 1.321904e-05 3.314467e-06 4.362285e-06
#>  [58,] 0.000000e+00 0.000000e+00 3.807053e-05 9.537452e-06 1.255132e-05
#>  [59,] 0.000000e+00 2.474167e-18 9.426793e-05 2.387085e-05 3.252341e-05
#>  [60,] 3.975334e-02 3.077361e-03 0.000000e+00 0.000000e+00 1.525843e-17
#>  [61,] 2.545948e-03 2.891680e-02 0.000000e+00 0.000000e+00 0.000000e+00
#>  [62,] 7.490121e-03 1.401778e-02 2.352784e-18 0.000000e+00 1.821351e-18
#>  [63,] 1.000256e-02 5.775680e-03 7.816860e-18 0.000000e+00 2.306879e-17
#>  [64,] 2.891501e-03 1.400426e-02 0.000000e+00 0.000000e+00 0.000000e+00
#>  [65,] 2.792075e-02 4.096062e-03 0.000000e+00 0.000000e+00 1.516961e-17
#>  [66,] 4.473285e-03 3.145652e-02 0.000000e+00 1.153973e-17 0.000000e+00
#>  [67,] 3.217890e-03 1.828397e-02 0.000000e+00 0.000000e+00 4.500395e-17
#>  [68,] 2.300739e-02 3.863939e-03 0.000000e+00 0.000000e+00 0.000000e+00
#>  [69,] 4.717127e-02 3.273292e-03 0.000000e+00 0.000000e+00 0.000000e+00
#>  [70,] 2.168728e-02 2.997287e-03 0.000000e+00 0.000000e+00 8.005314e-18
#>  [71,] 1.428508e-02 6.687720e-03 0.000000e+00 0.000000e+00 2.648971e-17
#>  [72,] 1.160833e-02 4.853343e-03 1.307526e-17 0.000000e+00 9.636039e-18
#>  [73,] 3.103379e-03 3.225375e-02 0.000000e+00 0.000000e+00 0.000000e+00
#>  [74,] 3.502415e-03 9.564676e-03 8.754000e-18 3.042777e-18 0.000000e+00
#>  [75,] 4.349003e-02 3.216949e-03 0.000000e+00 0.000000e+00 0.000000e+00
#>  [76,] 2.892551e-03 1.307823e-02 0.000000e+00 0.000000e+00 0.000000e+00
#>  [77,] 2.777129e-03 1.398627e-02 0.000000e+00 0.000000e+00 2.212679e-17
#>  [78,] 3.110630e-02 2.153054e-03 0.000000e+00 0.000000e+00 2.920636e-17
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#>  [80,] 3.642794e-03 2.139863e-02 0.000000e+00 8.200799e-18 0.000000e+00
#>  [81,] 1.530961e-02 6.680884e-03 0.000000e+00 0.000000e+00 1.745237e-17
#>  [82,] 3.089377e-03 2.492895e-02 0.000000e+00 0.000000e+00 0.000000e+00
#>  [83,] 5.416204e-02 2.241838e-03 0.000000e+00 0.000000e+00 1.275639e-18
#>  [84,] 8.818662e-03 9.821066e-03 0.000000e+00 1.901156e-17 0.000000e+00
#>  [85,] 2.769502e-03 3.112111e-02 0.000000e+00 0.000000e+00 0.000000e+00
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#>  [89,] 2.587682e-03 1.301848e-02 5.310932e-18 0.000000e+00 2.194549e-17
#>  [90,] 3.131933e-03 1.682493e-02 3.041213e-17 0.000000e+00 3.059381e-17
#>  [91,] 2.453870e-03 1.913469e-02 0.000000e+00 0.000000e+00 0.000000e+00
#>  [92,] 4.052724e-03 3.032734e-02 1.477406e-17 3.153490e-17 0.000000e+00
#>  [93,] 4.157254e-02 2.970227e-03 0.000000e+00 0.000000e+00 1.099272e-17
#>  [94,] 6.668076e-03 1.106650e-02 2.137441e-17 4.488104e-17 0.000000e+00
#>  [95,] 3.388041e-03 2.628084e-02 0.000000e+00 0.000000e+00 8.829686e-18
#>  [96,] 5.693742e-03 2.877052e-02 2.936259e-17 7.434353e-17 0.000000e+00
#>  [97,] 1.280294e-02 5.761193e-03 0.000000e+00 1.910832e-17 7.232194e-18
#>  [98,] 1.605881e-02 7.495264e-03 0.000000e+00 1.930905e-17 1.080468e-17
#>  [99,] 5.016428e-03 9.628723e-03 0.000000e+00 2.855230e-17 0.000000e+00
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#> [101,] 2.166107e-02 2.093017e-03 0.000000e+00 0.000000e+00 3.827261e-17
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#> [109,] 4.663926e-02 2.373396e-03 0.000000e+00 0.000000e+00 0.000000e+00
#> [110,] 1.416961e-02 1.385903e-02 0.000000e+00 6.348810e-19 3.224673e-17
#> [111,] 1.027904e-02 8.525138e-03 0.000000e+00 2.326947e-17 0.000000e+00
#> [112,] 2.885497e-03 4.011977e-02 0.000000e+00 0.000000e+00 0.000000e+00
#> [113,] 1.211633e-02 5.950725e-03 0.000000e+00 0.000000e+00 0.000000e+00
#> [114,] 4.262430e-02 3.565556e-03 0.000000e+00 0.000000e+00 5.327847e-18
#> [115,] 1.090515e-02 6.842953e-03 0.000000e+00 4.153740e-18 0.000000e+00
#> [116,] 0.000000e+00 3.106961e-03 0.000000e+00 0.000000e+00 1.081082e-18
#> [117,] 3.106961e-03 0.000000e+00 1.699319e-19 3.898781e-18 0.000000e+00
#> [118,] 0.000000e+00 1.699319e-19 0.000000e+00 3.518334e-03 3.785130e-03
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#> [118,] 4.153092e-03 3.427079e-03 8.011328e-03 6.302216e-03 3.646783e-03
#> [119,] 2.707809e-03 2.241736e-02 2.550007e-03 2.709982e-03 3.251443e-02
#> [120,] 7.846287e-03 3.886777e-02 3.368281e-03 4.064917e-03 5.256631e-02
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#> [127,] 7.221427e-03 3.714753e-03 7.366456e-03 9.255013e-03 3.400748e-03
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#> [129,] 6.798535e-03 2.297035e-03 1.811021e-02 7.043916e-03 2.269829e-03
#> [130,] 3.826448e-03 5.463877e-02 2.897187e-03 3.241177e-03 5.703960e-02
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#> [133,] 2.056711e-02 1.132335e-02 1.047233e-02 9.519324e-03 1.344683e-02
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#> [135,] 3.092004e-03 1.575229e-03 8.549318e-03 3.677370e-03 1.588035e-03
#> [136,] 4.301357e-03 5.690621e-02 3.022620e-03 3.346379e-03 6.676746e-02
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#> [143,] 2.439230e-03 1.046816e-02 3.719242e-03 2.626829e-03 1.283297e-02
#> [144,] 3.495052e-03 2.073933e-03 1.905629e-02 4.742247e-03 2.090807e-03
#> [145,] 6.661790e-03 3.461678e-03 8.044874e-03 9.308193e-03 3.448917e-03
#> [146,] 1.687502e-02 3.031772e-03 7.895145e-03 8.869718e-03 3.143049e-03
#> [147,] 2.322345e-02 3.039098e-03 8.516073e-03 1.133571e-02 3.088119e-03
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#> [149,] 6.927479e-03 8.340102e-03 6.955625e-03 3.022126e-02 4.945176e-03
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#> [151,] 8.307281e-03 4.901625e-03 5.985167e-03 1.213063e-02 4.788703e-03
#> [152,] 8.294599e-03 2.292568e-03 2.278143e-02 8.774248e-03 2.245511e-03
#> [153,] 5.311954e-03 2.008587e-03 5.690117e-03 5.625513e-03 2.071564e-03
#> [154,] 4.687270e-03 9.567095e-03 5.917683e-03 6.612914e-03 7.127866e-03
#> [155,] 5.585032e-03 4.001157e-03 9.043585e-03 6.358429e-03 4.079456e-03
#> [156,] 5.764869e-03 2.367138e-03 6.590112e-03 6.001114e-03 2.626005e-03
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#> [158,] 3.551778e-03 4.008552e-03 9.852765e-03 4.845330e-03 3.760590e-03
#> [159,] 7.770131e-03 3.311524e-03 7.650096e-03 1.064159e-02 2.940400e-03
#> [160,] 1.008280e-02 4.822884e-03 7.793531e-03 1.816257e-02 4.205487e-03
#> [161,] 2.649260e-03 9.621762e-03 3.917471e-03 2.952143e-03 1.103731e-02
#> [162,] 2.006654e-03 3.257344e-02 1.818049e-03 1.899222e-03 3.196189e-02
#> [163,] 3.801915e-03 1.428669e-02 4.841590e-03 3.963212e-03 1.287111e-02
#> [164,] 5.905257e-03 3.722043e-03 9.305818e-03 6.560870e-03 4.244825e-03
#> [165,] 1.341945e-02 9.951880e-03 5.584704e-03 1.185500e-02 1.254075e-02
#> [166,] 3.296626e-03 4.988731e-02 2.510462e-03 2.700857e-03 4.348683e-02
#> [167,] 7.838817e-03 4.210045e-03 1.877039e-02 9.387485e-03 3.932004e-03
#> [168,] 6.960387e-03 2.629584e-03 1.230529e-02 6.918272e-03 2.665220e-03
#> [169,] 4.380988e-03 3.417868e-03 3.297388e-02 6.499401e-03 3.656963e-03
#> [170,] 6.109670e-03 9.734562e-03 6.842652e-03 6.618366e-03 1.143928e-02
#> [171,] 1.086719e-02 2.789957e-03 1.307167e-02 1.005405e-02 2.705952e-03
#> [172,] 8.902852e-03 2.404862e-03 2.303348e-02 9.852890e-03 2.323815e-03
#> [173,] 2.808458e-03 4.101765e-02 1.963839e-03 2.184983e-03 6.004342e-02
#> [174,] 1.440478e-02 5.155045e-03 8.870920e-03 1.996790e-02 5.696624e-03
#> [175,] 4.528675e-03 1.196581e-02 3.545421e-03 6.003425e-03 1.470210e-02
#> [176,] 3.012173e-03 9.142699e-03 6.052334e-03 2.809333e-03 1.308300e-02
#> [177,] 4.787255e-03 2.479407e-02 3.090578e-03 3.298297e-03 5.117253e-02
#> [178,] 5.225134e-03 2.561131e-03 1.113805e-02 5.984197e-03 2.726079e-03
#> [179,] 4.197123e-03 4.868764e-02 3.256818e-03 3.384424e-03 6.647361e-02
#> [180,] 4.425217e-03 1.761355e-02 3.762961e-03 3.384351e-03 2.563702e-02
#> [181,] 4.188073e-03 4.178131e-03 9.147910e-03 6.719533e-03 4.829179e-03
#> [182,] 1.822636e-03 1.764382e-02 1.449810e-03 1.837129e-03 2.968296e-02
#>              [,126]       [,127]       [,128]       [,129]       [,130]
#>   [1,] 4.477675e-06 1.829431e-05 5.370744e-06 1.490757e-04 6.302455e-06
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#>   [4,] 5.266478e-06 2.137780e-05 6.310096e-06 1.750401e-04 7.438557e-06
#>   [5,] 4.209011e-06 1.619633e-05 4.999925e-06 1.451699e-04 6.134340e-06
#>   [6,] 2.824540e-04 1.102377e-03 3.380894e-04 8.050585e-03 3.936001e-04
#>   [7,] 2.602096e-05 1.079406e-04 3.129606e-05 8.487726e-04 3.621881e-05
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#>  [10,] 1.728226e-04 7.031649e-04 2.071653e-04 5.775523e-03 2.438411e-04
#>  [11,] 1.844357e-04 7.086248e-04 2.199887e-04 5.028239e-03 2.595240e-04
#>  [12,] 1.672710e-06 7.033405e-06 2.015846e-06 5.455690e-05 2.312938e-06
#>  [13,] 1.597858e-05 6.303970e-05 1.902645e-05 5.822419e-04 2.325061e-05
#>  [14,] 4.609684e-06 1.829273e-05 5.502039e-06 1.565181e-04 6.606943e-06
#>  [15,] 3.160272e-06 1.197018e-05 3.744238e-06 1.106381e-04 4.651475e-06
#>  [16,] 7.995023e-04 3.078648e-03 9.556962e-04 2.813813e-02 1.134989e-03
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#>  [18,] 2.163636e-04 9.040609e-04 2.598326e-04 7.997316e-03 3.068420e-04
#>  [19,] 7.139876e-05 2.580469e-04 8.416729e-05 2.264868e-03 1.057755e-04
#>  [20,] 2.410037e-05 1.015661e-04 2.903672e-05 8.029594e-04 3.343607e-05
#>  [21,] 1.828723e-06 7.000373e-06 2.169247e-06 6.501417e-05 2.685807e-06
#>  [22,] 1.420657e-06 5.932109e-06 1.709949e-06 4.669419e-05 1.974281e-06
#>  [23,] 2.831332e-06 1.124503e-05 3.380745e-06 9.504432e-05 4.048073e-06
#>  [24,] 1.561410e-06 6.014892e-06 1.854606e-06 5.445620e-05 2.279164e-06
#>  [25,] 1.678904e-06 6.719550e-06 2.006649e-06 5.688531e-05 2.395093e-06
#>  [26,] 1.398427e-06 5.645760e-06 1.673606e-06 4.731317e-05 1.986274e-06
#>  [27,] 2.658412e-06 1.030069e-05 3.160460e-06 9.248017e-05 3.868333e-06
#>  [28,] 1.279761e-06 5.204525e-06 1.533496e-06 4.300233e-05 1.809064e-06
#>  [29,] 8.592422e-06 3.432600e-05 1.027480e-05 2.800934e-04 1.219007e-05
#>  [30,] 1.607331e-06 6.736536e-06 1.935957e-06 5.259326e-05 2.227514e-06
#>  [31,] 3.978383e-05 1.717447e-04 4.789363e-05 1.592934e-03 5.655921e-05
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#>  [33,] 4.532916e-06 1.810748e-05 5.415926e-06 1.536057e-04 6.474312e-06
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#>  [36,] 6.021201e-06 2.306709e-05 7.141818e-06 2.158393e-04 8.853290e-06
#>  [37,] 1.385905e-06 5.784285e-06 1.667985e-06 4.556969e-05 1.926583e-06
#>  [38,] 1.723338e-06 6.790405e-06 2.053707e-06 6.004504e-05 2.489186e-06
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#>  [44,] 2.969046e-05 1.264850e-04 3.583067e-05 9.910859e-04 4.097358e-05
#>  [45,] 1.432160e-06 6.005147e-06 1.725007e-06 4.692286e-05 1.984944e-06
#>  [46,] 7.572903e-04 3.780628e-03 9.264584e-04 4.489720e-02 1.074663e-03
#>  [47,] 3.614688e-04 1.225613e-03 4.243979e-04 6.884118e-03 5.240279e-04
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#>  [49,] 1.987602e-03 4.743968e-03 2.293389e-03 9.792503e-03 2.873460e-03
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#>  [53,] 4.116811e-06 1.635820e-05 4.915980e-06 1.381643e-04 5.884702e-06
#>  [54,] 8.817345e-04 4.691404e-03 1.081613e-03 3.630181e-02 1.334509e-03
#>  [55,] 1.792870e-06 7.149876e-06 2.141687e-06 6.076872e-05 2.562321e-06
#>  [56,] 1.630990e-05 6.670991e-05 1.954999e-05 5.592950e-04 2.308367e-05
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#>  [61,] 3.547663e-18 0.000000e+00 1.408865e-17 0.000000e+00 1.254532e-17
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#>  [66,] 1.942942e-18 0.000000e+00 0.000000e+00 9.298836e-18 0.000000e+00
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#>  [68,] 6.387674e-18 0.000000e+00 2.355392e-18 3.088685e-18 1.914349e-17
#>  [69,] 1.533795e-17 0.000000e+00 2.443304e-17 5.426772e-18 4.447545e-17
#>  [70,] 0.000000e+00 0.000000e+00 0.000000e+00 7.991124e-18 0.000000e+00
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#> [107,] 0.000000e+00 0.000000e+00 6.158701e-19 0.000000e+00 7.564912e-18
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#> [110,] 0.000000e+00 0.000000e+00 6.487556e-18 4.780276e-18 0.000000e+00
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#>              [,131]       [,132]       [,133]       [,134]       [,135]
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#>              [,136]       [,137]       [,138]       [,139]       [,140]
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#> [182,] 8.457168e-04 3.091343e-03 3.919638e-03 9.608399e-04 1.509566e-03
#>              [,146]       [,147]       [,148]       [,149]       [,150]
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#> [182,] 1.494004e-03 1.427704e-03 2.282445e-03 3.195325e-03 7.262194e-03
#>              [,151]       [,152]       [,153]       [,154]       [,155]
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#>              [,156]       [,157]       [,158]       [,159]       [,160]
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#> [170,] 2.629675e-02 9.572905e-03 9.036513e-03 8.269404e-03 1.371571e-02
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#> [182,] 4.198793e-03 1.517900e-02 4.095926e-03 1.845861e-03 6.236746e-03
#>              [,166]       [,167]       [,168]       [,169]       [,170]
#>   [1,] 5.375541e-06 3.261868e-05 5.127354e-05 1.984018e-05 1.569762e-05
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#>  [22,] 1.698564e-06 1.036861e-05 1.621778e-05 6.397277e-06 5.002606e-06
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#>  [25,] 2.024190e-06 1.216639e-05 1.926948e-05 7.334594e-06 5.855481e-06
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#>  [29,] 1.034193e-05 6.174274e-05 9.661738e-05 3.712495e-05 3.009193e-05
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#>  [46,] 9.090604e-04 6.338107e-03 1.203118e-02 4.574025e-03 2.540179e-03
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#>  [56,] 1.961218e-05 1.188682e-04 1.888501e-04 7.282289e-05 5.696550e-05
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#>  [58,] 8.644790e-06 5.203252e-05 8.210992e-05 3.155442e-05 2.511620e-05
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#>  [60,] 0.000000e+00 2.211818e-17 2.976996e-18 0.000000e+00 1.860453e-17
#>  [61,] 4.085474e-17 6.733463e-18 0.000000e+00 0.000000e+00 0.000000e+00
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#>  [65,] 7.835573e-18 9.543675e-18 0.000000e+00 0.000000e+00 1.507471e-17
#>  [66,] 3.071104e-17 0.000000e+00 1.524534e-17 4.502963e-18 1.943347e-18
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#>  [68,] 0.000000e+00 3.527844e-17 0.000000e+00 0.000000e+00 1.276426e-17
#>  [69,] 4.352274e-18 1.644683e-17 1.737446e-17 0.000000e+00 2.961493e-17
#>  [70,] 1.901877e-17 2.009449e-17 5.014421e-19 0.000000e+00 0.000000e+00
#>  [71,] 1.848826e-17 0.000000e+00 1.516587e-17 0.000000e+00 1.147459e-17
#>  [72,] 1.713484e-17 0.000000e+00 0.000000e+00 2.089192e-17 0.000000e+00
#>  [73,] 3.848447e-17 7.624218e-18 0.000000e+00 2.348516e-18 0.000000e+00
#>  [74,] 0.000000e+00 2.179313e-17 1.158492e-17 8.516131e-18 0.000000e+00
#>  [75,] 2.596646e-18 1.238407e-17 0.000000e+00 0.000000e+00 0.000000e+00
#>  [76,] 2.454841e-17 1.533504e-17 0.000000e+00 2.370366e-17 0.000000e+00
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#>              [,171]       [,172]       [,173]       [,174]       [,175]
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#>  [74,] 0.000000e+00 0.000000e+00 1.356973e-17 2.016983e-17 0.000000e+00
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#>  [76,] 0.000000e+00 0.000000e+00 1.902592e-17 1.140009e-17 0.000000e+00
#>  [77,] 5.749823e-19 0.000000e+00 2.477492e-18 3.529700e-18 0.000000e+00
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#>  [79,] 0.000000e+00 0.000000e+00 6.916026e-18 0.000000e+00 0.000000e+00
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#>  [81,] 0.000000e+00 1.329253e-17 1.055038e-17 5.518812e-18 1.341020e-17
#>  [82,] 0.000000e+00 6.885762e-18 0.000000e+00 1.050831e-17 9.256875e-18
#>  [83,] 0.000000e+00 0.000000e+00 1.307532e-17 0.000000e+00 0.000000e+00
#>  [84,] 0.000000e+00 8.965975e-18 3.129900e-17 3.517891e-17 2.387549e-17
#>  [85,] 0.000000e+00 0.000000e+00 1.580562e-18 1.974431e-17 0.000000e+00
#>  [86,] 2.295887e-17 0.000000e+00 1.996620e-17 2.407174e-17 0.000000e+00
#>  [87,] 6.176569e-18 1.948871e-17 7.214883e-18 2.234052e-17 0.000000e+00
#>  [88,] 0.000000e+00 1.921973e-18 0.000000e+00 7.198039e-18 2.219874e-18
#>  [89,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#>  [90,] 0.000000e+00 2.709432e-20 0.000000e+00 1.897116e-17 2.879897e-17
#>  [91,] 0.000000e+00 0.000000e+00 2.922634e-18 1.199320e-18 0.000000e+00
#>  [92,] 3.366124e-17 0.000000e+00 2.695926e-17 4.169644e-17 0.000000e+00
#>  [93,] 0.000000e+00 0.000000e+00 1.704507e-17 0.000000e+00 6.190162e-18
#>  [94,] 2.125591e-17 7.197946e-19 1.892545e-17 3.788995e-17 0.000000e+00
#>  [95,] 0.000000e+00 0.000000e+00 2.197118e-17 3.886369e-18 0.000000e+00
#>  [96,] 3.970421e-17 0.000000e+00 2.301490e-17 6.186723e-17 0.000000e+00
#>  [97,] 7.945999e-18 0.000000e+00 0.000000e+00 2.247604e-17 1.325097e-17
#>  [98,] 0.000000e+00 8.853273e-18 0.000000e+00 3.076245e-17 6.462071e-18
#>  [99,] 1.731203e-18 0.000000e+00 1.929464e-17 1.017939e-17 0.000000e+00
#> [100,] 0.000000e+00 0.000000e+00 2.546010e-17 3.934980e-17 0.000000e+00
#> [101,] 0.000000e+00 0.000000e+00 1.185903e-18 0.000000e+00 0.000000e+00
#> [102,] 0.000000e+00 0.000000e+00 1.015596e-17 0.000000e+00 0.000000e+00
#> [103,] 0.000000e+00 0.000000e+00 5.120129e-17 1.279930e-17 0.000000e+00
#> [104,] 0.000000e+00 8.108605e-18 0.000000e+00 1.258775e-17 6.967249e-19
#> [105,] 0.000000e+00 2.680419e-17 7.506578e-18 0.000000e+00 2.501482e-17
#> [106,] 0.000000e+00 2.604735e-17 2.054782e-17 0.000000e+00 0.000000e+00
#> [107,] 2.279038e-17 1.279824e-17 2.244372e-18 0.000000e+00 0.000000e+00
#> [108,] 0.000000e+00 0.000000e+00 6.751966e-18 9.449397e-18 1.267673e-17
#> [109,] 0.000000e+00 8.937846e-18 1.663344e-17 0.000000e+00 0.000000e+00
#> [110,] 3.398302e-18 9.320658e-18 0.000000e+00 1.093284e-17 2.865537e-17
#> [111,] 1.391794e-18 1.330801e-17 0.000000e+00 2.358492e-17 9.033634e-19
#> [112,] 5.675234e-18 0.000000e+00 1.188914e-17 2.244785e-18 0.000000e+00
#> [113,] 0.000000e+00 3.396706e-17 0.000000e+00 8.692427e-19 0.000000e+00
#> [114,] 0.000000e+00 2.663632e-17 3.704175e-17 0.000000e+00 1.265875e-17
#> [115,] 1.079497e-18 1.764476e-17 0.000000e+00 2.399441e-17 1.235459e-17
#> [116,] 0.000000e+00 1.426994e-17 2.502017e-17 0.000000e+00 0.000000e+00
#> [117,] 1.010837e-19 0.000000e+00 2.655982e-17 2.863467e-17 0.000000e+00
#> [118,] 5.306035e-03 3.029828e-03 1.002606e-02 3.610664e-03 4.023725e-03
#> [119,] 7.160668e-03 1.413654e-02 2.725808e-03 3.963012e-02 1.248363e-02
#> [120,] 9.269101e-03 4.116549e-02 2.764235e-03 2.919181e-02 1.483348e-02
#> [121,] 3.012173e-03 4.787255e-03 5.225134e-03 4.197123e-03 4.425217e-03
#> [122,] 9.142699e-03 2.479407e-02 2.561131e-03 4.868764e-02 1.761355e-02
#> [123,] 6.052334e-03 3.090578e-03 1.113805e-02 3.256818e-03 3.762961e-03
#> [124,] 2.809333e-03 3.298297e-03 5.984197e-03 3.384424e-03 3.384351e-03
#> [125,] 1.308300e-02 5.117253e-02 2.726079e-03 6.647361e-02 2.563702e-02
#> [126,] 7.201872e-03 2.453353e-02 1.760832e-03 4.015328e-02 1.399940e-02
#> [127,] 2.354286e-03 2.412095e-03 6.516081e-03 3.054062e-03 2.427122e-03
#> [128,] 8.075382e-03 2.084510e-02 2.169520e-03 3.330722e-02 1.350343e-02
#> [129,] 4.387359e-03 2.212869e-03 2.098082e-02 2.280523e-03 2.875874e-03
#> [130,] 1.015000e-02 3.514193e-02 2.536791e-03 5.137160e-02 2.206654e-02
#> [131,] 1.051384e-02 3.063998e-02 2.702835e-03 4.879499e-02 1.913486e-02
#> [132,] 4.283267e-03 9.045152e-03 5.575152e-03 7.093404e-03 6.008264e-03
#> [133,] 1.182037e-02 1.636624e-02 5.869321e-03 1.310304e-02 2.215215e-02
#> [134,] 4.366986e-03 2.303248e-03 1.109863e-02 3.132414e-03 3.391814e-03
#> [135,] 2.369794e-03 1.396642e-03 7.567063e-03 1.557646e-03 1.762755e-03
#> [136,] 1.304089e-02 2.789485e-02 2.656011e-03 5.403887e-02 1.940511e-02
#> [137,] 3.115860e-03 2.687641e-03 2.000851e-02 2.619798e-03 2.868220e-03
#> [138,] 3.508973e-03 2.728120e-03 1.460115e-02 2.949434e-03 3.014228e-03
#> [139,] 4.221264e-03 2.798455e-03 1.194823e-02 3.605127e-03 3.820901e-03
#> [140,] 4.048832e-03 2.870384e-02 2.572166e-03 1.584921e-02 7.076900e-03
#> [141,] 3.537278e-03 1.598770e-03 7.888322e-03 1.797243e-03 2.071602e-03
#> [142,] 3.986610e-03 7.135857e-03 5.571876e-03 5.720562e-03 5.665549e-03
#> [143,] 3.122840e-02 7.123363e-03 6.302924e-03 1.667393e-02 2.131109e-02
#> [144,] 2.822198e-03 1.712487e-03 7.846858e-03 2.026213e-03 2.157046e-03
#> [145,] 2.496592e-03 2.810468e-03 7.356114e-03 3.241876e-03 2.627184e-03
#> [146,] 4.825455e-03 2.832214e-03 1.553413e-02 3.061010e-03 3.544549e-03
#> [147,] 2.529457e-03 2.867220e-03 7.835822e-03 2.844484e-03 2.892233e-03
#> [148,] 2.537953e-02 7.069922e-03 5.224276e-03 7.797904e-03 8.738452e-03
#> [149,] 2.285000e-03 3.512462e-03 4.939819e-03 4.497309e-03 2.998305e-03
#> [150,] 6.764445e-03 2.196296e-02 3.106456e-03 1.198435e-02 9.468830e-03
#> [151,] 5.054754e-03 4.023828e-03 7.689058e-03 4.653450e-03 4.802376e-03
#> [152,] 3.406348e-03 2.088094e-03 1.513393e-02 2.190679e-03 2.499737e-03
#> [153,] 1.785780e-03 1.774201e-03 6.873517e-03 1.937120e-03 1.833847e-03
#> [154,] 3.978601e-03 5.153425e-03 5.781353e-03 6.772914e-03 5.529845e-03
#> [155,] 7.458702e-03 3.266043e-03 2.672473e-02 4.033238e-03 4.385432e-03
#> [156,] 5.001348e-03 2.326387e-03 7.325819e-03 2.592667e-03 3.107568e-03
#> [157,] 1.975099e-02 3.941265e-02 2.314216e-03 2.852213e-02 2.889423e-02
#> [158,] 3.586954e-03 3.021151e-03 5.950809e-03 3.508902e-03 3.032757e-03
#> [159,] 2.575533e-03 2.574623e-03 8.843737e-03 2.767806e-03 2.726770e-03
#> [160,] 3.041279e-03 4.203087e-03 6.602163e-03 3.971725e-03 3.663199e-03
#> [161,] 6.512874e-03 6.422030e-03 4.177534e-03 1.059789e-02 1.087077e-02
#> [162,] 5.273460e-03 1.284542e-02 1.704547e-03 3.156422e-02 1.124643e-02
#> [163,] 9.254467e-03 8.170184e-03 5.839054e-03 1.154544e-02 8.308375e-03
#> [164,] 1.881696e-02 3.523355e-03 1.538962e-02 4.594446e-03 6.181258e-03
#> [165,] 1.017465e-02 1.201280e-02 4.367708e-03 1.144677e-02 1.914595e-02
#> [166,] 1.043761e-02 2.128037e-02 2.119094e-03 4.901444e-02 3.253990e-02
#> [167,] 3.749383e-03 4.206833e-03 1.032031e-02 3.752620e-03 3.828678e-03
#> [168,] 5.084267e-03 2.398173e-03 4.025363e-02 2.703499e-03 3.229004e-03
#> [169,] 5.803493e-03 2.877539e-03 2.923252e-02 3.745633e-03 4.427349e-03
#> [170,] 8.136936e-03 7.552320e-03 8.566923e-03 1.238462e-02 1.712290e-02
#> [171,] 3.639734e-03 2.659610e-03 2.542550e-02 2.633561e-03 3.085719e-03
#> [172,] 3.062538e-03 2.108396e-03 1.354766e-02 2.233177e-03 2.415631e-03
#> [173,] 6.989831e-03 2.137739e-02 1.647962e-03 5.067944e-02 1.457088e-02
#> [174,] 7.206997e-03 5.982183e-03 9.468870e-03 5.517297e-03 7.957378e-03
#> [175,] 4.569914e-03 1.020159e-02 3.136995e-03 1.441746e-02 8.104691e-03
#> [176,] 0.000000e+00 8.898670e-03 5.466681e-03 1.799117e-02 2.812240e-02
#> [177,] 8.898670e-03 0.000000e+00 2.176509e-03 3.955272e-02 1.517469e-02
#> [178,] 5.466681e-03 2.176509e-03 0.000000e+00 2.824295e-03 3.336907e-03
#> [179,] 1.799117e-02 3.955272e-02 2.824295e-03 0.000000e+00 3.721134e-02
#> [180,] 2.812240e-02 1.517469e-02 3.336907e-03 3.721134e-02 0.000000e+00
#> [181,] 1.376613e-02 3.410760e-03 3.641895e-02 5.464802e-03 7.071326e-03
#> [182,] 3.815520e-03 1.665238e-02 1.240667e-03 2.856651e-02 8.171622e-03
#>              [,181]       [,182]
#>   [1,] 1.910207e-05 3.589561e-06
#>   [2,] 6.273575e-05 1.156277e-05
#>   [3,] 2.263706e-04 4.224770e-05
#>   [4,] 2.235975e-05 4.187400e-06
#>   [5,] 1.741049e-05 3.092529e-06
#>   [6,] 1.135459e-03 2.322384e-04
#>   [7,] 1.116586e-04 2.140707e-05
#>   [8,] 6.989130e-05 1.314285e-05
#>   [9,] 8.929591e-04 1.795461e-04
#>  [10,] 7.382083e-04 1.377582e-04
#>  [11,] 7.282200e-04 1.482657e-04
#>  [12,] 7.239693e-06 1.396494e-06
#>  [13,] 6.782626e-05 1.178273e-05
#>  [14,] 1.937228e-05 3.536136e-06
#>  [15,] 1.298331e-05 2.260701e-06
#>  [16,] 3.317027e-03 6.286651e-04
#>  [17,] 3.000565e-04 5.627091e-05
#>  [18,] 9.608406e-04 1.701639e-04
#>  [19,] 2.796925e-04 5.019394e-05
#>  [20,] 1.048425e-04 1.996578e-05
#>  [21,] 7.584014e-06 1.315761e-06
#>  [22,] 6.129574e-06 1.172795e-06
#>  [23,] 1.187995e-05 2.185584e-06
#>  [24,] 6.476327e-06 1.142399e-06
#>  [25,] 7.091592e-06 1.302943e-06
#>  [26,] 5.937350e-06 1.096884e-06
#>  [27,] 1.106062e-05 1.961236e-06
#>  [28,] 5.451665e-06 1.015439e-06
#>  [29,] 3.598365e-05 6.761602e-06
#>  [30,] 6.946206e-06 1.335225e-06
#>  [31,] 1.820237e-04 3.106294e-05
#>  [32,] 7.695692e-06 1.428791e-06
#>  [33,] 1.912135e-05 3.507476e-06
#>  [34,] 1.508129e-05 2.841128e-06
#>  [35,] 1.139606e-04 2.045807e-05
#>  [36,] 2.502155e-05 4.318445e-06
#>  [37,] 5.978246e-06 1.143304e-06
#>  [38,] 7.246436e-06 1.296045e-06
#>  [39,] 4.363469e-03 6.395169e-04
#>  [40,] 5.625214e-06 1.050391e-06
#>  [41,] 9.006705e-05 1.694799e-05
#>  [42,] 6.259861e-06 1.169139e-06
#>  [43,] 4.041683e-03 5.538406e-04
#>  [44,] 1.301294e-04 2.488631e-05
#>  [45,] 6.192200e-06 1.189427e-06
#>  [46,] 4.199294e-03 5.903921e-04
#>  [47,] 1.243841e-03 2.703606e-04
#>  [48,] 1.280658e-04 2.469492e-05
#>  [49,] 3.655433e-03 1.504865e-03
#>  [50,] 6.980532e-06 1.265799e-06
#>  [51,] 2.271454e-05 4.181301e-06
#>  [52,] 4.186349e-03 2.604440e-03
#>  [53,] 1.727752e-05 3.179582e-06
#>  [54,] 5.855545e-03 5.850416e-04
#>  [55,] 7.556291e-06 1.385183e-06
#>  [56,] 6.998263e-05 1.290028e-05
#>  [57,] 1.057492e-05 1.966549e-06
#>  [58,] 3.045524e-05 5.657378e-06
#>  [59,] 7.627607e-05 1.346982e-05
#>  [60,] 0.000000e+00 9.828238e-18
#>  [61,] 1.372080e-17 0.000000e+00
#>  [62,] 7.051684e-18 1.480177e-17
#>  [63,] 1.624091e-17 1.319224e-17
#>  [64,] 0.000000e+00 4.529736e-18
#>  [65,] 1.114258e-17 5.490025e-18
#>  [66,] 0.000000e+00 0.000000e+00
#>  [67,] 4.388580e-17 0.000000e+00
#>  [68,] 3.674396e-18 0.000000e+00
#>  [69,] 0.000000e+00 0.000000e+00
#>  [70,] 5.011309e-18 1.297709e-17
#>  [71,] 2.360178e-17 7.974378e-18
#>  [72,] 1.033092e-17 0.000000e+00
#>  [73,] 0.000000e+00 0.000000e+00
#>  [74,] 9.239333e-18 7.253967e-18
#>  [75,] 0.000000e+00 0.000000e+00
#>  [76,] 0.000000e+00 0.000000e+00
#>  [77,] 1.489707e-17 3.877390e-18
#>  [78,] 1.859343e-17 9.160716e-18
#>  [79,] 1.660423e-17 1.107925e-17
#>  [80,] 0.000000e+00 0.000000e+00
#>  [81,] 0.000000e+00 2.463631e-18
#>  [82,] 6.868372e-18 0.000000e+00
#>  [83,] 0.000000e+00 3.247990e-19
#>  [84,] 0.000000e+00 6.281556e-19
#>  [85,] 6.789791e-18 0.000000e+00
#>  [86,] 1.951671e-18 0.000000e+00
#>  [87,] 1.690147e-17 4.425302e-18
#>  [88,] 3.504763e-17 9.036761e-18
#>  [89,] 2.171773e-17 1.174622e-17
#>  [90,] 1.171670e-17 0.000000e+00
#>  [91,] 8.827368e-18 4.009343e-18
#>  [92,] 0.000000e+00 0.000000e+00
#>  [93,] 8.700790e-18 3.890865e-18
#>  [94,] 0.000000e+00 0.000000e+00
#>  [95,] 1.439746e-18 3.969723e-18
#>  [96,] 0.000000e+00 0.000000e+00
#>  [97,] 9.169006e-18 1.594894e-20
#>  [98,] 1.240719e-17 0.000000e+00
#>  [99,] 2.527621e-17 0.000000e+00
#> [100,] 0.000000e+00 0.000000e+00
#> [101,] 3.088618e-17 1.212003e-17
#> [102,] 0.000000e+00 0.000000e+00
#> [103,] 0.000000e+00 0.000000e+00
#> [104,] 3.458543e-17 6.913032e-18
#> [105,] 4.717270e-18 8.659145e-18
#> [106,] 0.000000e+00 5.921071e-19
#> [107,] 3.645504e-17 5.486450e-18
#> [108,] 7.315156e-18 4.810766e-18
#> [109,] 0.000000e+00 9.980248e-19
#> [110,] 1.309835e-17 3.174138e-18
#> [111,] 6.055403e-18 2.847386e-19
#> [112,] 0.000000e+00 0.000000e+00
#> [113,] 0.000000e+00 5.357343e-19
#> [114,] 0.000000e+00 1.762270e-18
#> [115,] 8.375087e-19 3.902979e-18
#> [116,] 0.000000e+00 8.227414e-18
#> [117,] 0.000000e+00 0.000000e+00
#> [118,] 1.241767e-02 1.622786e-03
#> [119,] 5.581417e-03 1.258850e-02
#> [120,] 4.286236e-03 1.195013e-02
#> [121,] 4.188073e-03 1.822636e-03
#> [122,] 4.178131e-03 1.764382e-02
#> [123,] 9.147910e-03 1.449810e-03
#> [124,] 6.719533e-03 1.837129e-03
#> [125,] 4.829179e-03 2.968296e-02
#> [126,] 3.200811e-03 3.369995e-02
#> [127,] 6.622337e-03 1.389234e-03
#> [128,] 3.983598e-03 1.362101e-02
#> [129,] 1.089300e-02 1.292274e-03
#> [130,] 4.511392e-03 2.797878e-02
#> [131,] 4.346082e-03 2.347105e-02
#> [132,] 5.101315e-03 3.772100e-03
#> [133,] 6.964484e-03 6.226645e-03
#> [134,] 3.246787e-02 1.291189e-03
#> [135,] 5.042208e-03 7.864881e-04
#> [136,] 5.008175e-03 2.183647e-02
#> [137,] 8.370733e-03 1.471494e-03
#> [138,] 9.186045e-03 1.732804e-03
#> [139,] 1.124025e-02 1.803443e-03
#> [140,] 3.019678e-03 7.790195e-03
#> [141,] 5.319160e-03 8.457168e-04
#> [142,] 6.511891e-03 3.091343e-03
#> [143,] 2.089093e-02 3.919638e-03
#> [144,] 6.161077e-03 9.608399e-04
#> [145,] 5.674500e-03 1.509566e-03
#> [146,] 9.671653e-03 1.494004e-03
#> [147,] 5.295255e-03 1.427704e-03
#> [148,] 8.705467e-03 2.282445e-03
#> [149,] 4.367532e-03 3.195325e-03
#> [150,] 4.054958e-03 7.262194e-03
#> [151,] 9.823707e-03 2.328012e-03
#> [152,] 8.653104e-03 1.163815e-03
#> [153,] 4.751736e-03 8.301264e-04
#> [154,] 6.997018e-03 4.875496e-03
#> [155,] 2.490521e-02 1.824286e-03
#> [156,] 5.589706e-03 1.095198e-03
#> [157,] 4.312824e-03 9.321575e-03
#> [158,] 5.612025e-03 1.425333e-03
#> [159,] 5.580004e-03 1.506250e-03
#> [160,] 5.530907e-03 2.292728e-03
#> [161,] 6.955266e-03 4.198793e-03
#> [162,] 3.021952e-03 1.517900e-02
#> [163,] 8.600153e-03 4.095926e-03
#> [164,] 1.360528e-02 1.845861e-03
#> [165,] 5.367784e-03 6.236746e-03
#> [166,] 3.863296e-03 2.084347e-02
#> [167,] 7.220766e-03 1.988698e-03
#> [168,] 2.530776e-02 1.345793e-03
#> [169,] 2.543998e-02 1.763358e-03
#> [170,] 2.138621e-02 6.731034e-03
#> [171,] 1.036984e-02 1.466998e-03
#> [172,] 8.008729e-03 1.177218e-03
#> [173,] 2.859417e-03 1.503929e-02
#> [174,] 7.631302e-03 2.958343e-03
#> [175,] 5.016054e-03 2.260463e-02
#> [176,] 1.376613e-02 3.815520e-03
#> [177,] 3.410760e-03 1.665238e-02
#> [178,] 3.641895e-02 1.240667e-03
#> [179,] 5.464802e-03 2.856651e-02
#> [180,] 7.071326e-03 8.171622e-03
#> [181,] 0.000000e+00 2.088913e-03
#> [182,] 2.088913e-03 0.000000e+00
#> 
#> $F
#>              [,1]      [,2]         [,3]
#>   [1,]   7.921302 -12.22816 -7.405717781
#>   [2,]   8.638940 -12.28075 -5.282097199
#>   [3,]   8.698621 -13.16563 -3.606197513
#>   [4,]   9.050821 -13.32561 -6.694403436
#>   [5,]   9.789969 -13.08872 -6.903875976
#>   [6,]   9.164693 -13.04572 -1.758592495
#>   [7,]   8.811517 -12.76120 -4.733960433
#>   [8,]   8.781026 -13.04422 -5.115772258
#>   [9,]   9.160159 -13.04273 -1.791425293
#>  [10,]   9.157343 -13.04211 -1.783563160
#>  [11,]   9.136647 -13.05432 -1.974495816
#>  [12,]   7.552015 -12.25891 -8.334458452
#>  [13,]   9.440026 -13.01928 -4.528061865
#>  [14,]   9.156427 -13.74775 -6.619185158
#>  [15,]   9.244849 -14.09277 -7.011729721
#>  [16,]   9.493219 -13.09965  0.943963766
#>  [17,]   8.988253 -12.80924 -3.438108031
#>  [18,]   9.159929 -13.03901 -1.857485810
#>  [19,]   9.315900 -13.14463 -2.846857938
#>  [20,]   8.767602 -12.95257 -4.695814370
#>  [21,]   6.834579 -13.08867 -8.140043014
#>  [22,]   7.550823 -12.06353 -8.448274467
#>  [23,]   9.057033 -12.93358 -7.659570242
#>  [24,]   7.513045 -13.52447 -8.292167311
#>  [25,]   8.155473 -12.80304 -8.486707673
#>  [26,]   7.151324 -12.45815 -8.367049993
#>  [27,]   7.739477 -13.23573 -7.258722326
#>  [28,]   7.483583 -11.90870 -8.524489134
#>  [29,]   9.120836 -13.21632 -6.266672507
#>  [30,]   7.660782 -12.08411 -8.462570246
#>  [31,]   8.647355 -13.20810 -4.049521615
#>  [32,]   8.156522 -11.92315 -7.982445435
#>  [33,]   8.628875 -12.63793 -6.633055041
#>  [34,]   8.720898 -12.49207 -7.083996817
#>  [35,]   8.475542 -13.32221 -4.122029111
#>  [36,]   7.658947 -13.33154 -6.091505389
#>  [37,]   7.525021 -12.20150 -8.507351846
#>  [38,]   6.955979 -12.12104 -8.582501448
#>  [39,]   9.801356 -13.21045  1.764255970
#>  [40,]   7.911620 -12.31721 -8.698850110
#>  [41,]   9.044168 -13.34334 -4.783286287
#>  [42,]   7.602655 -11.91581 -8.190391756
#>  [43,]   9.743897 -13.03967  1.506055733
#>  [44,]   8.746784 -13.17727 -4.400822653
#>  [45,]   7.530749 -12.22162 -8.505054190
#>  [46,]   9.843361 -13.12035  1.509753111
#>  [47,]   9.198452 -13.05992 -1.367437838
#>  [48,]   8.781562 -13.13285 -4.488699655
#>  [49,]   8.021568 -13.05358  2.923669717
#>  [50,]   8.589183 -12.25378 -8.327370892
#>  [51,]   9.349463 -13.06492 -6.497613038
#>  [52,]   7.901011 -13.83403  4.935415630
#>  [53,]   9.360657 -13.47407 -6.980322016
#>  [54,]  10.930096 -13.02235  2.081959587
#>  [55,]   8.111398 -13.19267 -8.272929123
#>  [56,]   8.600068 -13.42841 -4.864656395
#>  [57,]   8.487658 -13.25838 -7.893253523
#>  [58,]   8.618708 -13.62419 -6.215288224
#>  [59,]   9.118624 -12.18428 -4.613985213
#>  [60,] -19.527127  28.88368 -3.463421734
#>  [61,] -21.132453  27.66904  0.442371339
#>  [62,] -20.251219  27.20185 -0.877719846
#>  [63,] -19.755623  29.79304 -1.874667049
#>  [64,] -21.488115  27.46426 -0.192843007
#>  [65,] -19.274004  28.93843 -3.010668572
#>  [66,] -20.011410  27.81868 -0.139029953
#>  [67,] -20.799625  27.49219 -0.006410304
#>  [68,] -20.096794  29.36582 -3.497394054
#>  [69,] -19.952125  28.80355 -3.588703168
#>  [70,] -18.560834  28.14558 -2.995896367
#>  [71,] -19.214428  28.42682 -1.847973932
#>  [72,] -18.591857  29.32122 -2.134494817
#>  [73,] -19.936258  27.59616  0.478789271
#>  [74,] -21.328362  26.87550 -0.610258119
#>  [75,] -19.816504  28.02120 -3.290956571
#>  [76,] -21.603557  27.44494 -0.084286373
#>  [77,] -21.112487  26.88671  0.099153853
#>  [78,] -19.198995  28.80112 -4.013425032
#>  [79,] -19.024772  28.06652 -3.543242821
#>  [80,] -19.487051  27.25479  0.155357359
#>  [81,] -19.762460  28.97658 -1.922902815
#>  [82,] -19.995460  26.91236  0.979130351
#>  [83,] -19.600807  28.43728 -4.059512413
#>  [84,] -18.825282  28.15534 -1.003081572
#>  [85,] -20.585112  27.59474  0.802020221
#>  [86,] -20.008194  28.56999  0.841107048
#>  [87,] -20.422682  28.03468  1.148367241
#>  [88,] -20.787831  28.37612 -0.202833295
#>  [89,] -21.198610  26.73932  0.036729826
#>  [90,] -20.150052  26.77644  0.568617749
#>  [91,] -21.299785  28.02188  0.615644857
#>  [92,] -19.701106  28.94752  0.303731649
#>  [93,] -20.156943  28.24129 -3.596255701
#>  [94,] -19.060767  29.32411 -0.726324333
#>  [95,] -20.605343  28.00198  0.167354735
#>  [96,] -19.437349  28.89641 -0.344394419
#>  [97,] -18.695696  28.44396 -1.841970917
#>  [98,] -19.766043  28.74585 -1.821194734
#>  [99,] -21.259092  26.94518 -0.686581414
#> [100,] -18.886383  27.59330 -0.254378686
#> [101,] -18.409212  29.02781 -3.673249154
#> [102,] -21.742010  28.12413  0.025920286
#> [103,] -21.579440  27.53739 -1.350591290
#> [104,] -21.029511  28.73873  0.448474658
#> [105,] -19.575411  28.67546 -2.586950823
#> [106,] -19.429926  28.04712 -3.662749772
#> [107,] -19.913916  27.15220 -3.126293490
#> [108,] -19.389317  27.52369 -2.167721974
#> [109,] -19.640205  28.77468 -3.920073291
#> [110,] -20.116120  28.11477 -1.622800244
#> [111,] -19.062997  28.80090 -1.343569945
#> [112,] -20.503181  28.07695  0.554779387
#> [113,] -20.932476  29.00743 -2.391947179
#> [114,] -19.402542  28.63151 -3.020944626
#> [115,] -19.185508  29.41497 -1.685009437
#> [116,] -19.580474  28.28556 -3.533356847
#> [117,] -19.892808  28.25434  0.629739767
#> [118,]  10.999770 -14.75847  4.362973083
#> [119,]  10.928165 -14.21436  8.296815239
#> [120,]   9.649471 -13.59238  7.824098586
#> [121,]   8.526355 -11.48797  5.518824405
#> [122,]  10.127816 -13.82441  8.248140137
#> [123,]   9.038333 -12.72507  3.883067985
#> [124,]   9.792557 -11.28821  5.747905683
#> [125,]   9.837146 -14.00684  8.301967250
#> [126,]   9.858452 -14.04714  8.837957630
#> [127,]  10.278066 -10.73479  4.264416363
#> [128,]  10.162286 -13.40731  8.395827953
#> [129,]  10.050408 -12.96192  2.735597472
#> [130,]  10.048075 -14.06956  8.290380497
#> [131,]   9.842516 -13.83080  8.104211536
#> [132,]   9.816045 -12.60405  6.003884326
#> [133,]   9.554369 -13.37698  6.396129773
#> [134,]  12.186673 -14.10952  4.519370100
#> [135,]  10.037970 -13.49556  2.105358426
#> [136,]  10.048637 -13.95631  8.305633747
#> [137,]   9.825852 -11.90488  3.924755035
#> [138,]  10.391647 -11.88927  4.538039219
#> [139,]  10.933397 -14.48404  3.531969512
#> [140,]   9.260382 -12.39245  7.531075008
#> [141,]   9.580661 -13.47653  2.458861496
#> [142,]   8.793843 -12.26027  5.850246173
#> [143,]  11.596955 -14.50441  7.067023397
#> [144,]  10.479176 -14.10349  2.700358399
#> [145,]  11.169644 -11.64769  4.859506353
#> [146,]  10.007704 -13.41686  4.289880376
#> [147,]   9.503865 -11.28229  4.540874416
#> [148,]  11.217403 -15.72761  5.963541447
#> [149,]  10.662802 -11.23358  5.864024411
#> [150,]   8.456000 -13.34197  7.035795229
#> [151,]  10.071556 -13.78640  5.277968980
#> [152,]  10.022172 -12.52726  3.362673869
#> [153,]   8.733033 -11.31920  3.308460525
#> [154,]   8.791533 -14.51001  5.674381462
#> [155,]  10.989711 -13.78587  4.103952571
#> [156,]   9.145662 -14.13919  3.696414913
#> [157,]   9.367884 -14.72979  7.980051026
#> [158,]   9.972817 -15.26228  4.035865372
#> [159,]  10.813925 -11.50456  4.105202251
#> [160,]   9.763030 -12.20695  5.375954208
#> [161,]   9.639568 -15.64467  6.394907729
#> [162,]  10.385478 -14.68165  9.009653086
#> [163,]  11.248392 -13.64338  6.685569374
#> [164,]   9.923911 -14.21083  4.288948694
#> [165,]   8.812951 -13.41399  6.425654580
#> [166,]  10.092712 -14.43885  8.427974129
#> [167,]   9.183118 -12.76933  4.782659417
#> [168,]  10.573073 -12.95012  3.644002060
#> [169,]  11.463507 -13.03166  4.896318912
#> [170,]  10.003907 -14.45665  6.236419709
#> [171,]  10.040902 -12.37908  3.853955093
#> [172,]  10.154197 -12.00952  3.445199362
#> [173,]   9.948075 -13.86104  8.868035923
#> [174,]   9.314150 -13.48884  4.903123498
#> [175,]   8.469226 -14.38556  7.160895898
#> [176,]  11.098705 -15.23919  6.934969862
#> [177,]   9.157079 -13.75426  8.099673717
#> [178,]  11.349066 -13.00282  3.967216186
#> [179,]   9.998200 -14.19644  8.210995635
#> [180,]  10.176843 -14.91401  7.476758092
#> [181,]  11.618984 -13.77821  5.035674547
#> [182,]   9.009454 -14.28851  9.226112865
#> 
#> $ydata
#>               [,1]        [,2]
#>   [1,]  100.000000 -12.8536571
#>   [2,]  -23.915949  99.4250999
#>   [3,]  -28.148385  43.5839758
#>   [4,]  -25.969719  88.6066298
#>   [5,]  -48.644822  78.0861345
#>   [6,]  -12.477370  23.0771419
#>   [7,]  -23.008923  65.9409139
#>   [8,]  -27.618041  58.7946889
#>   [9,]   -3.620889  22.1216585
#>  [10,]  -15.549438 -62.6865881
#>  [11,]  -20.139372 -70.5592877
#>  [12,]   39.818630  95.1421830
#>  [13,] -100.000000 -36.8692218
#>  [14,]  -41.407381  88.3137339
#>  [15,]  -26.081404  76.6074977
#>  [16,]  -20.098470  13.2346802
#>  [17,]  -10.025391  38.8828620
#>  [18,]   -6.551709  29.1522507
#>  [19,]    1.459038  40.0962078
#>  [20,]  -19.715218  59.3351452
#>  [21,]   -1.085733 100.0000000
#>  [22,]  -72.768290  86.0941756
#>  [23,]  -18.328127  83.0148048
#>  [24,]  -10.104884 100.0000000
#>  [25,]    2.888646  90.2146703
#>  [26,]   10.105504  84.2806448
#>  [27,]   -8.060585  81.6294125
#>  [28,]   16.033476 100.0000000
#>  [29,]  -31.358027  82.6080205
#>  [30,]  -68.434590  77.5630256
#>  [31,]  -20.585577  41.9707660
#>  [32,]   27.354691  93.7266197
#>  [33,]  -33.810759  71.0929342
#>  [34,]  -41.976050  71.8522418
#>  [35,]  -14.838510  46.3242856
#>  [36,]  -38.593080  60.9187010
#>  [37,]   17.953994  84.8950054
#>  [38,]    7.723343 100.0000000
#>  [39,]  -30.944228  10.5536277
#>  [40,]   22.700637  90.6078867
#>  [41,]   -6.186830  53.8822226
#>  [42,]   24.447690 100.0000000
#>  [43,]  -35.701425  20.1421103
#>  [44,]  -22.847994  51.0978009
#>  [45,]   13.363320  91.8937029
#>  [46,]  -27.879166  17.8592137
#>  [47,]   -7.990157  15.0064533
#>  [48,]  -11.739275  60.0107673
#>  [49,]  -11.963703   1.1839301
#>  [50,]    2.432733  79.6681874
#>  [51,]  -33.758330  92.7414401
#>  [52,]  -83.012437 -40.9361622
#>  [53,]  -38.727976  80.6905564
#>  [54,]  -35.269808   0.9124218
#>  [55,]   -5.564074  90.7462275
#>  [56,]  -14.669417  53.6716616
#>  [57,]  -14.361763  91.1088168
#>  [58,]   -7.169234  71.7693683
#>  [59,]  -15.587314  68.3322623
#>  [60,]   80.187744  10.2033383
#>  [61,]   78.657014 -85.9467346
#>  [62,]   75.093164 -40.5630994
#>  [63,]  100.000000  -4.5830841
#>  [64,]   73.300039 -64.3971654
#>  [65,]   75.913133  -0.9809469
#>  [66,]   65.070927 -39.2246032
#>  [67,]   71.995893 -54.5730385
#>  [68,]  100.000000   6.6470319
#>  [69,]   86.222005  15.7284377
#>  [70,]   62.484784   9.9040999
#>  [71,]   70.538865 -17.8318214
#>  [72,]   86.678961 -18.6759732
#>  [73,]   52.151605 -51.8286212
#>  [74,]   88.692296 -62.4544675
#>  [75,]   71.514992  14.4217762
#>  [76,]   80.308831 -68.6287670
#>  [77,]   79.757299 -58.7787079
#>  [78,]   83.356970  25.7562076
#>  [79,]   91.223909   1.0396520
#>  [80,]   55.316701 -36.6955944
#>  [81,]   98.779837 -29.7579624
#>  [82,]   42.009944 -51.8694239
#>  [83,]   92.012645  22.3533354
#>  [84,]   60.582559 -17.3856639
#>  [85,]   60.358332 -52.9796932
#>  [86,]  -62.357076  96.3159929
#>  [87,]   47.903213 -61.5330746
#>  [88,]   67.775683 -47.7564451
#>  [89,]   79.552353 -50.9126830
#>  [90,]   47.261860 -43.4175252
#>  [91,]   63.792814 -67.9623406
#>  [92,]   47.054843 -30.0938012
#>  [93,]   72.104260   6.1785927
#>  [94,]   81.388634 -31.7429508
#>  [95,]   65.598093 -58.9050489
#>  [96,]   97.120333 -41.0118544
#>  [97,]   79.211620 -13.5282273
#>  [98,]   70.409598  -9.3959874
#>  [99,]   88.068448 -54.3911538
#> [100,]   60.274262 -27.9859158
#> [101,]   71.130844  25.9251160
#> [102,]   71.074760 -74.4041001
#> [103,]   86.736207 -43.1710119
#> [104,]   54.459185 -70.5726222
#> [105,]   82.568049  -5.2295080
#> [106,]   94.810836  13.7719278
#> [107,]   62.025735  -1.2911292
#> [108,]   89.292473 -27.4360443
#> [109,]   79.105955  18.4106766
#> [110,]   71.206340 -29.5554121
#> [111,]   77.887721 -22.3114707
#> [112,]   57.046130 -60.4882473
#> [113,]  100.000000 -21.2343898
#> [114,]   82.813828   3.1340387
#> [115,]   90.124554 -11.0919768
#> [116,]   88.727252   8.7178714
#> [117,]   57.951497 -45.1302125
#> [118,]  -28.014141 -16.8369934
#> [119,]  -36.800638 -65.0312782
#> [120,]  -42.597725 -47.1216361
#> [121,]  -97.267402 -22.4946155
#> [122,]  -54.352685 -52.5288795
#> [123,]  -11.727573 -29.6490493
#> [124,]  -82.657688  -5.5082568
#> [125,]  -47.361083 -54.5291494
#> [126,]  -50.745741 -68.6270135
#> [127,]  -74.380172 -13.5643571
#> [128,]  -60.094413 -65.2044476
#> [129,]  -43.260162   3.7913155
#> [130,]  -60.798120 -55.9555927
#> [131,]  -53.533978 -60.4031729
#> [132,]  -64.307085 -30.5367087
#> [133,]  -56.308020 -29.8434266
#> [134,]  -21.961519 -24.9307121
#> [135,]  -39.116006  11.5489097
#> [136,]  -45.961074 -61.7260362
#> [137,]  -60.059866  -2.4974295
#> [138,]  -68.697526  -6.3304922
#> [139,]  -29.545031  -7.9569259
#> [140,]  -69.760688 -72.6271152
#> [141,]  -25.924094   3.0702990
#> [142,]  -46.529243 -29.6045314
#> [143,]   -7.223175 -47.0806307
#> [144,]  -48.115463  16.1755509
#> [145,]  -73.706088   0.5809125
#> [146,]  -34.273966 -24.7828902
#> [147,]  -69.926523 -20.8453589
#> [148,]  -11.949156 -82.5499111
#> [149,]   -4.127275 -16.1465901
#> [150,]  -68.503090 -44.0095115
#> [151,]  -62.430304  16.7451439
#> [152,]  -50.363359  -1.7796042
#> [153,]  -47.555308 -88.9529507
#> [154,]  -50.019539 -36.6254904
#> [155,]  -37.486395 -14.3032813
#> [156,]  -82.947514 -28.6155214
#> [157,]  -31.421543 -44.6856236
#> [158,]  -18.091528 -10.9835212
#> [159,]  -63.241411 -12.9981410
#> [160,]  -72.373244 -30.6383012
#> [161,]  -77.201898 -51.0280896
#> [162,]  -42.487697 -73.1556534
#> [163,]  -77.024447 -61.9439795
#> [164,]  -48.165131 -14.4140958
#> [165,]  -94.605135 -12.5576921
#> [166,]  -94.115503   1.8567520
#> [167,]  -57.449799 -20.2837013
#> [168,]  -43.262884  -6.5223350
#> [169,]  -43.602332 -21.3820109
#> [170,]  -59.141931 -41.5787551
#> [171,]  -55.213181  -8.7058165
#> [172,]  -54.315210   5.6219427
#> [173,]  -39.700708 -56.6800457
#> [174,]  -65.086416   5.8033090
#> [175,]  -49.625530 -44.1798722
#> [176,]  -16.970274 -49.9873939
#> [177,]  -78.640903  13.0136453
#> [178,]  -82.833880 -17.9454945
#> [179,]  -85.614727   4.7144204
#> [180,]  -28.622035 -55.8949313
#> [181,]  -34.438298 -34.6945487
#> [182,]   -4.243388 -66.3874143
#> 
#> $alphaK
#>  [1] 5.115233e-02 1.187351e-02 1.026856e-03 1.294673e-05 3.276952e-09
#>  [6] 5.533531e-02 1.327692e-02 1.211094e-03 1.669295e-05 4.731035e-09
#> [11] 5.927089e-02 1.463991e-02 1.399359e-03 2.085976e-05 6.599021e-09
#> [16] 6.310798e-02 1.600722e-02 1.597063e-03 2.558310e-05 9.011729e-09
#> [21] 6.686110e-02 1.738001e-02 1.804067e-03 3.088867e-05 1.206855e-08
#> [26] 7.050493e-02 1.874505e-02 2.018017e-03 3.674100e-05 1.584017e-08
#> [31] 7.404669e-02 2.010213e-02 2.238541e-03 4.314921e-05 2.042288e-08
#> [36] 7.751713e-02 2.145958e-02 2.466620e-03 5.016162e-05 2.595264e-08
#> [41] 8.095443e-02 2.283046e-02 2.704315e-03 5.786860e-05 3.261778e-08
#> [46] 8.435906e-02 2.421386e-02 2.951504e-03 6.630041e-05 4.058189e-08
#> [51] 8.770435e-02 2.559711e-02 3.205787e-03 7.540251e-05 4.993419e-08
#> 
#> $execution.time
#>    user  system elapsed 
#>   8.699   4.380   9.207 
#> 
#> $converge
#>  [1] 0.3728507 0.2757306 0.2576427 0.2520954 0.2483652 0.2446142 0.2391406
#>  [8] 0.2327959 0.2251234 0.2171838 0.2224434
#> 
#> $LF
#>               [,1]        [,2]          [,3]
#>   [1,] -0.02872457  0.08508475 -1.163834e-01
#>   [2,] -0.02872457  0.08508475 -1.058997e-01
#>   [3,] -0.02872457  0.08508475 -8.940652e-02
#>   [4,] -0.02872457  0.08508475 -1.135289e-01
#>   [5,] -0.02872457  0.08508475 -1.144716e-01
#>   [6,] -0.02872457  0.08508475 -4.704110e-02
#>   [7,] -0.02872457  0.08508475 -1.005026e-01
#>   [8,] -0.02872457  0.08508475 -1.043415e-01
#>   [9,] -0.02872457  0.08508475 -5.257017e-02
#>  [10,] -0.02872457  0.08508475 -5.429468e-02
#>  [11,] -0.02872457  0.08508475 -5.726503e-02
#>  [12,] -0.02872457  0.08508475 -1.200327e-01
#>  [13,] -0.02872457  0.08508475 -1.024932e-01
#>  [14,] -0.02872457  0.08508475 -1.130666e-01
#>  [15,] -0.02872457  0.08508475 -1.157192e-01
#>  [16,] -0.02872457  0.08508475  3.537763e-02
#>  [17,] -0.02872457  0.08508475 -8.485644e-02
#>  [18,] -0.02872457  0.08508475 -5.619647e-02
#>  [19,] -0.02872457  0.08508475 -7.393472e-02
#>  [20,] -0.02872457  0.08508475 -1.005865e-01
#>  [21,] -0.02872457  0.08508475 -1.196923e-01
#>  [22,] -0.02872457  0.08508475 -1.203979e-01
#>  [23,] -0.02872457  0.08508475 -1.171381e-01
#>  [24,] -0.02872457  0.08508475 -1.198386e-01
#>  [25,] -0.02872457  0.08508475 -1.197517e-01
#>  [26,] -0.02872457  0.08508475 -1.205214e-01
#>  [27,] -0.02872457  0.08508475 -1.176337e-01
#>  [28,] -0.02872457  0.08508475 -1.207035e-01
#>  [29,] -0.02872457  0.08508475 -1.107881e-01
#>  [30,] -0.02872457  0.08508475 -1.201869e-01
#>  [31,] -0.02872457  0.08508475 -9.859530e-02
#>  [32,] -0.02872457  0.08508475 -1.196020e-01
#>  [33,] -0.02872457  0.08508475 -1.144416e-01
#>  [34,] -0.02872457  0.08508475 -1.162893e-01
#>  [35,] -0.02872457  0.08508475 -9.940813e-02
#>  [36,] -0.02872457  0.08508475 -1.123776e-01
#>  [37,] -0.02872457  0.08508475 -1.204479e-01
#>  [38,] -0.02872457  0.08508475 -1.195838e-01
#>  [39,] -0.02872457  0.08508475  5.882956e-02
#>  [40,] -0.02872457  0.08508475 -1.205630e-01
#>  [41,] -0.02872457  0.08508475 -1.010362e-01
#>  [42,] -0.02872457  0.08508475 -1.202920e-01
#>  [43,] -0.02872457  0.08508475  5.574381e-02
#>  [44,] -0.02872457  0.08508475 -9.941875e-02
#>  [45,] -0.02872457  0.08508475 -1.204385e-01
#>  [46,] -0.02872457  0.08508475  5.404234e-02
#>  [47,] -0.02872457  0.08508475 -4.202558e-02
#>  [48,] -0.02872457  0.08508475 -9.928061e-02
#>  [49,] -0.02872457  0.08508475  5.742397e-02
#>  [50,] -0.02872457  0.08508475 -1.197908e-01
#>  [51,] -0.02872457  0.08508475 -1.134163e-01
#>  [52,] -0.02872457  0.08508475  7.152317e-02
#>  [53,] -0.02872457  0.08508475 -1.145826e-01
#>  [54,] -0.02872457  0.08508475  6.586438e-02
#>  [55,] -0.02872457  0.08508475 -1.188442e-01
#>  [56,] -0.02872457  0.08508475 -1.037975e-01
#>  [57,] -0.02872457  0.08508475 -1.178238e-01
#>  [58,] -0.02872457  0.08508475 -1.121864e-01
#>  [59,] -0.02872457  0.08508475 -1.016898e-01
#>  [60,] -0.12440808 -0.04200010 -7.522144e-16
#>  [61,] -0.12440808 -0.04200010 -7.726845e-16
#>  [62,] -0.12440808 -0.04200010 -7.578116e-16
#>  [63,] -0.12440808 -0.04200010 -7.607278e-16
#>  [64,] -0.12440808 -0.04200010 -7.566448e-16
#>  [65,] -0.12440808 -0.04200010 -7.421570e-16
#>  [66,] -0.12440808 -0.04200010 -7.496686e-16
#>  [67,] -0.12440808 -0.04200010 -7.528006e-16
#>  [68,] -0.12440808 -0.04200010 -7.534304e-16
#>  [69,] -0.12440808 -0.04200010 -7.490516e-16
#>  [70,] -0.12440808 -0.04200010 -7.609860e-16
#>  [71,] -0.12440808 -0.04200010 -7.544284e-16
#>  [72,] -0.12440808 -0.04200010 -7.456590e-16
#>  [73,] -0.12440808 -0.04200010 -7.632557e-16
#>  [74,] -0.12440808 -0.04200010 -7.674797e-16
#>  [75,] -0.12440808 -0.04200010 -7.555076e-16
#>  [76,] -0.12440808 -0.04200010 -7.693778e-16
#>  [77,] -0.12440808 -0.04200010 -7.643544e-16
#>  [78,] -0.12440808 -0.04200010 -7.531020e-16
#>  [79,] -0.12440808 -0.04200010 -7.580345e-16
#>  [80,] -0.12440808 -0.04200010 -7.639457e-16
#>  [81,] -0.12440808 -0.04200010 -7.339294e-16
#>  [82,] -0.12440808 -0.04200010 -7.665420e-16
#>  [83,] -0.12440808 -0.04200010 -7.579148e-16
#>  [84,] -0.12440808 -0.04200010 -7.531106e-16
#>  [85,] -0.12440808 -0.04200010 -7.733684e-16
#>  [86,] -0.12440808 -0.04200010 -7.516298e-16
#>  [87,] -0.12440808 -0.04200010 -7.578503e-16
#>  [88,] -0.12440808 -0.04200010 -7.614619e-16
#>  [89,] -0.12440808 -0.04200010 -7.554762e-16
#>  [90,] -0.12440808 -0.04200010 -7.727275e-16
#>  [91,] -0.12440808 -0.04200010 -7.652511e-16
#>  [92,] -0.12440808 -0.04200010 -7.590210e-16
#>  [93,] -0.12440808 -0.04200010 -7.527209e-16
#>  [94,] -0.12440808 -0.04200010 -7.455437e-16
#>  [95,] -0.12440808 -0.04200010 -7.591375e-16
#>  [96,] -0.12440808 -0.04200010 -7.515877e-16
#>  [97,] -0.12440808 -0.04200010 -7.583012e-16
#>  [98,] -0.12440808 -0.04200010 -7.485207e-16
#>  [99,] -0.12440808 -0.04200010 -7.385412e-16
#> [100,] -0.12440808 -0.04200010 -7.554115e-16
#> [101,] -0.12440808 -0.04200010 -7.578137e-16
#> [102,] -0.12440808 -0.04200010 -7.720385e-16
#> [103,] -0.12440808 -0.04200010 -7.494679e-16
#> [104,] -0.12440808 -0.04200010 -7.664789e-16
#> [105,] -0.12440808 -0.04200010 -7.399035e-16
#> [106,] -0.12440808 -0.04200010 -7.398406e-16
#> [107,] -0.12440808 -0.04200010 -7.669776e-16
#> [108,] -0.12440808 -0.04200010 -7.556023e-16
#> [109,] -0.12440808 -0.04200010 -7.528113e-16
#> [110,] -0.12440808 -0.04200010 -7.525774e-16
#> [111,] -0.12440808 -0.04200010 -7.520891e-16
#> [112,] -0.12440808 -0.04200010 -7.642352e-16
#> [113,] -0.12440808 -0.04200010 -7.671294e-16
#> [114,] -0.12440808 -0.04200010 -7.482897e-16
#> [115,] -0.12440808 -0.04200010 -7.405812e-16
#> [116,] -0.12440808 -0.04200010 -7.472452e-16
#> [117,] -0.12440808 -0.04200010 -7.704205e-16
#> [118,] -0.02872457  0.08508475  7.597022e-02
#> [119,] -0.02872457  0.08508475  8.223248e-02
#> [120,] -0.02872457  0.08508475  8.154787e-02
#> [121,] -0.02872457  0.08508475  7.774111e-02
#> [122,] -0.02872457  0.08508475  8.192697e-02
#> [123,] -0.02872457  0.08508475  7.493083e-02
#> [124,] -0.02872457  0.08508475  7.722859e-02
#> [125,] -0.02872457  0.08508475  8.193988e-02
#> [126,] -0.02872457  0.08508475  8.281045e-02
#> [127,] -0.02872457  0.08508475  7.612137e-02
#> [128,] -0.02872457  0.08508475  8.239867e-02
#> [129,] -0.02872457  0.08508475  6.582468e-02
#> [130,] -0.02872457  0.08508475  8.206973e-02
#> [131,] -0.02872457  0.08508475  8.169143e-02
#> [132,] -0.02872457  0.08508475  7.708022e-02
#> [133,] -0.02872457  0.08508475  7.807389e-02
#> [134,] -0.02872457  0.08508475  7.735117e-02
#> [135,] -0.02872457  0.08508475  6.433444e-02
#> [136,] -0.02872457  0.08508475  8.202496e-02
#> [137,] -0.02872457  0.08508475  7.348262e-02
#> [138,] -0.02872457  0.08508475  7.478235e-02
#> [139,] -0.02872457  0.08508475  7.415540e-02
#> [140,] -0.02872457  0.08508475  7.979701e-02
#> [141,] -0.02872457  0.08508475  6.533396e-02
#> [142,] -0.02872457  0.08508475  7.741729e-02
#> [143,] -0.02872457  0.08508475  8.111410e-02
#> [144,] -0.02872457  0.08508475  7.019887e-02
#> [145,] -0.02872457  0.08508475  7.421970e-02
#> [146,] -0.02872457  0.08508475  7.415302e-02
#> [147,] -0.02872457  0.08508475  7.571554e-02
#> [148,] -0.02872457  0.08508475  7.994239e-02
#> [149,] -0.02872457  0.08508475  7.756147e-02
#> [150,] -0.02872457  0.08508475  8.003935e-02
#> [151,] -0.02872457  0.08508475  7.687175e-02
#> [152,] -0.02872457  0.08508475  7.157824e-02
#> [153,] -0.02872457  0.08508475  7.196674e-02
#> [154,] -0.02872457  0.08508475  7.778804e-02
#> [155,] -0.02872457  0.08508475  7.435816e-02
#> [156,] -0.02872457  0.08508475  7.334215e-02
#> [157,] -0.02872457  0.08508475  8.238223e-02
#> [158,] -0.02872457  0.08508475  7.538912e-02
#> [159,] -0.02872457  0.08508475  7.403165e-02
#> [160,] -0.02872457  0.08508475  7.615565e-02
#> [161,] -0.02872457  0.08508475  7.949327e-02
#> [162,] -0.02872457  0.08508475  8.301564e-02
#> [163,] -0.02872457  0.08508475  7.947341e-02
#> [164,] -0.02872457  0.08508475  7.459439e-02
#> [165,] -0.02872457  0.08508475  7.770823e-02
#> [166,] -0.02872457  0.08508475  8.240972e-02
#> [167,] -0.02872457  0.08508475  7.392137e-02
#> [168,] -0.02872457  0.08508475  7.161755e-02
#> [169,] -0.02872457  0.08508475  7.619650e-02
#> [170,] -0.02872457  0.08508475  7.870585e-02
#> [171,] -0.02872457  0.08508475  7.251579e-02
#> [172,] -0.02872457  0.08508475  7.230544e-02
#> [173,] -0.02872457  0.08508475  8.282409e-02
#> [174,] -0.02872457  0.08508475  7.473521e-02
#> [175,] -0.02872457  0.08508475  8.082074e-02
#> [176,] -0.02872457  0.08508475  8.071016e-02
#> [177,] -0.02872457  0.08508475  8.192868e-02
#> [178,] -0.02872457  0.08508475  7.433727e-02
#> [179,] -0.02872457  0.08508475  8.195650e-02
#> [180,] -0.02872457  0.08508475  8.142887e-02
#> [181,] -0.02872457  0.08508475  7.680787e-02
#> [182,] -0.02872457  0.08508475  8.378762e-02
#>