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These calculations are conditional on the latent factors X and Y.

Usage

expected_edges(factor_model, ...)

expected_degree(factor_model, ...)

expected_in_degree(factor_model, ...)

expected_out_degree(factor_model, ...)

expected_density(factor_model, ...)

expected_degrees(factor_model, ...)

Arguments

factor_model

A directed_factor_model() or undirected_factor_model().

...

Ignored. Do not use.

Value

Expected edge counts, or graph densities.

Details

Note that the runtime of the fastRG algorithm is proportional to the expected number of edges in the graph. Expected edge count will be an underestimate of expected number of edges for Bernoulli graphs. See the Rohe et al for details.

References

Rohe, Karl, Jun Tao, Xintian Han, and Norbert Binkiewicz. 2017. "A Note on Quickly Sampling a Sparse Matrix with Low Rank Expectation." Journal of Machine Learning Research; 19(77):1-13, 2018. https://www.jmlr.org/papers/v19/17-128.html

Examples


##### an undirected blockmodel example

n <- 100
pop <- n / 2
a <- .1
b <- .05

B <- matrix(c(a, b, b, a), nrow = 2)

b_model <- sbm(n = n, k = 2, B = B, poisson_edges = FALSE)

b_model
#> Undirected Stochastic Blockmodel
#> --------------------------------
#> 
#> Nodes (n): 100 (arranged by block)
#> Blocks (k): 2
#> 
#> Traditional SBM parameterization:
#> 
#> Block memberships (z): 100 [factor] 
#> Block probabilities (pi): 2 [numeric] 
#> Factor model parameterization:
#> 
#> X: 100 x 2 [dgeMatrix] 
#> S: 2 x 2 [dsyMatrix] 
#> 
#> Poisson edges: FALSE 
#> Allow self loops: TRUE 
#> 
#> Expected edges: 784
#> Expected degree: 7.8
#> Expected density: 0.15832

A <- sample_sparse(b_model)

# compare
mean(rowSums(triu(A)))
#> [1] 7.09

pop * a + pop * b # analytical average degree
#> [1] 7.5

##### more generic examples

n <- 1000
k <- 5

X <- matrix(rpois(n = n * k, 1), nrow = n)
S <- matrix(runif(n = k * k, 0, .1), nrow = k)

ufm <- undirected_factor_model(X, S)

expected_edges(ufm)
#> [1] 1331491
expected_degree(ufm)
#> [1] 1331.491
eigs_sym(ufm)
#> $values
#> [1] 1609.08690   92.34439   30.58269    5.64930   -2.40076
#> 
#> $vectors
#>                  [,1]          [,2]          [,3]          [,4]          [,5]
#>    [1,] -2.362412e-02  8.600604e-03  1.569893e-04 -2.176249e-02 -1.728738e-02
#>    [2,] -1.903704e-02 -1.152900e-02 -2.105977e-02 -2.132740e-02 -1.205349e-02
#>    [3,] -1.682949e-02  2.488380e-02  4.073665e-03  8.319956e-03  2.395380e-02
#>    [4,] -3.942610e-02  2.949963e-02  1.828943e-02  1.720409e-03  4.777137e-02
#>    [5,] -3.871789e-02 -1.579049e-02  5.571673e-02 -3.687364e-02  1.831122e-02
#>    [6,] -2.821121e-02  2.873021e-02  2.137375e-02 -2.219757e-02 -2.252127e-02
#>    [7,] -4.163364e-02 -6.913170e-03 -6.844007e-03 -2.792694e-02  1.176408e-02
#>    [8,] -3.240854e-02  1.140251e-02 -5.850636e-02 -5.001863e-02  1.256180e-02
#>    [9,] -1.035419e-02 -1.383598e-04  3.135886e-02 -1.535459e-02 -5.370120e-03
#>   [10,] -4.061345e-02 -5.283944e-02  2.826610e-02 -6.217491e-03 -3.721235e-02
#>   [11,] -2.131502e-02  3.082086e-02  3.153514e-02  3.016821e-02 -1.781264e-02
#>   [12,] -1.235130e-02 -2.299476e-02 -2.336479e-03 -6.981781e-03 -2.436114e-02
#>   [13,] -5.980299e-02 -1.087508e-01  1.019044e-02 -2.686637e-02 -3.063240e-03
#>   [14,] -2.362412e-02  8.600604e-03  1.569893e-04 -2.176249e-02 -1.728738e-02
#>   [15,] -3.004882e-02 -3.914468e-02 -1.165467e-02  4.715726e-02 -1.482596e-02
#>   [16,]  2.047533e-20 -1.318593e-20  4.511014e-19  8.654023e-19 -3.564017e-18
#>   [17,] -2.918079e-02  1.889040e-03  1.737186e-03  1.338174e-03 -4.073346e-04
#>   [18,] -3.209654e-02  1.076636e-02 -6.082355e-02  1.028487e-02 -6.954474e-03
#>   [19,] -3.025926e-02 -5.270108e-02 -3.092761e-03  9.137097e-03 -3.184223e-02
#>   [20,] -2.611254e-02  3.739406e-02  6.131381e-02 -8.287040e-03 -4.006280e-02
#>   [21,] -3.612792e-02 -5.877650e-02  8.046250e-04 -2.806574e-02  4.554087e-03
#>   [22,] -3.046237e-02 -2.431598e-02 -1.558219e-02 -3.542958e-02  4.122287e-02
#>   [23,] -3.694501e-02 -4.123533e-02 -2.181605e-02 -5.208520e-03 -1.953459e-02
#>   [24,] -4.957717e-02  9.761714e-04  6.213772e-02  3.093250e-02 -3.066385e-02
#>   [25,] -4.245073e-02  1.062800e-02 -2.946469e-02 -5.069723e-03 -1.232459e-02
#>   [26,] -2.826215e-02 -2.984468e-02  3.060258e-02  7.642905e-04 -1.285121e-02
#>   [27,] -3.689406e-02  1.733957e-02 -3.104488e-02 -2.817038e-02 -2.920464e-02
#>   [28,] -2.049794e-02  1.327968e-02  5.415582e-02  7.310985e-03  6.276037e-03
#>   [29,] -3.360838e-02 -2.299985e-02  2.362087e-02  6.188511e-02  2.104511e-02
#>   [30,] -3.230698e-02 -2.790039e-03 -5.226164e-02 -2.773530e-02 -2.397075e-02
#>   [31,] -3.662569e-02  7.002804e-05 -4.518458e-02  4.854846e-02  5.103052e-02
#>   [32,] -2.254566e-02  6.319073e-02  4.986936e-03 -2.956141e-02  1.414752e-02
#>   [33,] -4.719031e-02 -1.362473e-02 -5.263811e-03 -4.826285e-03  2.864412e-02
#>   [34,] -1.014375e-02  1.341804e-02  2.279696e-02  2.266557e-02  1.164616e-02
#>   [35,] -3.392037e-02 -2.236370e-02  2.593806e-02  1.581612e-03  4.056138e-02
#>   [36,] -3.127946e-02 -6.774810e-03 -3.820287e-02 -1.257236e-02  1.713420e-02
#>   [37,] -2.729257e-02 -3.003513e-03  5.023914e-02 -2.277146e-02 -3.496515e-02
#>   [38,] -4.019257e-02 -2.572664e-02  1.114229e-02  6.982283e-02 -3.179799e-03
#>   [39,] -3.725700e-02 -4.059918e-02 -1.949886e-02 -6.551202e-02 -1.831057e-05
#>   [40,] -5.274698e-02 -2.033630e-02 -3.683615e-03  1.827437e-02  4.552417e-02
#>   [41,] -3.127946e-02 -6.774810e-03 -3.820287e-02 -1.257236e-02  1.713420e-02
#>   [42,] -3.067281e-02 -3.787238e-02 -7.020285e-03 -7.344974e-02  2.420660e-02
#>   [43,] -2.454277e-02  4.033433e-02 -2.870840e-02 -2.118860e-02 -4.843499e-03
#>   [44,] -1.326994e-02  8.738964e-03 -3.120187e-02 -6.407897e-03 -1.191726e-02
#>   [45,] -1.570042e-02  6.706478e-03  2.437715e-02  4.576623e-02  2.852620e-02
#>   [46,] -2.454277e-02  4.033433e-02 -2.870840e-02 -2.118860e-02 -4.843499e-03
#>   [47,] -1.811840e-02 -4.326273e-02  7.805622e-03 -2.190128e-02 -2.449737e-02
#>   [48,] -3.963653e-02  1.594323e-02  2.685133e-02 -3.629975e-02  3.075510e-02
#>   [49,] -3.365899e-02  4.976760e-02  8.147329e-03  1.663991e-02  4.790761e-02
#>   [50,] -1.913860e-02  2.663548e-03 -2.730449e-02 -4.361074e-02  2.447906e-02
#>   [51,] -5.890384e-02 -3.146959e-03  1.075554e-01  3.074085e-02  5.070980e-03
#>   [52,] -3.974542e-02 -1.180572e-02  4.165795e-02 -5.203657e-02 -2.279373e-02
#>   [53,] -2.815327e-02 -2.095731e-03  1.579596e-02  1.650111e-02  4.069762e-02
#>   [54,] -2.541080e-02 -6.993939e-04 -4.210026e-02  2.463048e-02 -1.926212e-02
#>   [55,] -3.279129e-02 -4.054102e-02  4.624155e-02  3.902789e-02  4.513378e-02
#>   [56,] -3.538826e-02  9.184582e-02  9.750261e-02 -3.144055e-02 -1.399802e-02
#>   [57,] -3.499884e-02 -7.695382e-02  2.110811e-02  9.380535e-03  9.126484e-03
#>   [58,] -2.377662e-02 -3.578174e-02  3.141104e-03 -2.108396e-02  2.891523e-02
#>   [59,] -2.341369e-02  2.215701e-02 -8.404915e-03  1.625768e-02 -2.711017e-04
#>   [60,] -4.163364e-02 -6.913170e-03 -6.844007e-03 -2.792694e-02  1.176408e-02
#>   [61,] -2.146752e-02 -1.356149e-02  3.451925e-02  3.084673e-02  2.838997e-02
#>   [62,] -3.392037e-02 -2.236370e-02  2.593806e-02  1.581612e-03  4.056138e-02
#>   [63,] -2.367507e-02 -4.997429e-02  9.385818e-03  1.199377e-03 -7.617327e-03
#>   [64,] -3.781270e-02  4.907329e-02 -5.991028e-02 -2.759650e-02 -1.676076e-02
#>   [65,] -2.949278e-02  2.525188e-03  4.054376e-03 -5.896533e-02  1.910894e-02
#>   [66,] -2.562123e-02 -1.425580e-02 -3.353835e-02 -1.338968e-02 -3.627840e-02
#>   [67,] -3.448340e-02  2.536727e-02  6.577982e-03  4.604365e-02 -6.626245e-02
#>   [68,] -3.020832e-02  5.873811e-03 -1.232159e-02 -1.382476e-02 -4.151228e-02
#>   [69,] -1.214086e-02 -9.438358e-03 -1.089838e-02  3.103838e-02 -7.344861e-03
#>   [70,] -2.897035e-02  1.544544e-02 -6.824718e-03  3.935834e-02  1.660894e-02
#>   [71,] -4.465828e-02 -2.578480e-02 -5.459812e-02 -3.471708e-02 -4.833189e-02
#>   [72,] -1.575835e-02  3.753242e-02  2.995494e-02  7.067548e-03 -3.469268e-02
#>   [73,] -1.326994e-02  8.738964e-03 -3.120187e-02 -6.407897e-03 -1.191726e-02
#>   [74,] -3.701544e-02  3.752733e-02  5.591229e-02  7.593444e-02  1.071357e-02
#>   [75,] -5.113359e-02 -7.626394e-04 -8.188332e-02 -1.104253e-02 -1.900797e-02
#>   [76,] -1.245285e-02 -8.802209e-03 -8.581193e-03 -2.926512e-02  1.217141e-02
#>   [77,] -4.386068e-02  9.401158e-02  3.652208e-02  6.067995e-04 -3.665116e-03
#>   [78,] -1.127283e-02  3.159536e-02  2.493468e-03 -1.478070e-02  7.073760e-03
#>   [79,] -2.643832e-02  3.285377e-03 -5.615903e-02  9.467544e-03 -6.036707e-02
#>   [80,] -3.565610e-02  2.691120e-02 -2.554801e-02  2.501272e-02  2.891659e-02
#>   [81,] -2.508502e-02  3.340929e-02  7.537258e-02  6.875899e-03  1.042150e-03
#>   [82,] -2.049794e-02  1.327968e-02  5.415582e-02  7.310985e-03  6.276037e-03
#>   [83,] -1.790796e-02 -2.970632e-02 -7.562825e-04  1.611888e-02 -7.481094e-03
#>   [84,] -1.872505e-02 -1.216515e-02 -2.337696e-02  3.897610e-02 -3.156977e-02
#>   [85,] -4.704514e-02 -1.118389e-02  1.280341e-02  1.041706e-03 -1.076399e-01
#>   [86,] -2.847259e-02 -4.340109e-02  3.916448e-02 -3.725587e-02 -2.986749e-02
#>   [87,] -3.596809e-02  2.754735e-02 -2.323082e-02 -3.529078e-02  4.843286e-02
#>   [88,] -2.459371e-02 -1.824057e-02 -1.947958e-02  1.773261e-03  4.826552e-03
#>   [89,] -2.146752e-02 -1.356149e-02  3.451925e-02  3.084673e-02  2.838997e-02
#>   [90,] -2.907924e-02 -1.230351e-02  7.981900e-03  2.362151e-02 -3.693989e-02
#>   [91,] -2.718368e-02  2.474544e-02  3.543253e-02 -7.034632e-03  1.858368e-02
#>   [92,] -3.830401e-02  1.007231e-01  3.494188e-02 -2.249386e-02 -2.054516e-02
#>   [93,] -2.912985e-02  6.046393e-02 -7.491643e-03 -2.162369e-02 -1.007739e-02
#>   [94,] -2.270548e-02 -2.313312e-02  2.902238e-02 -2.233637e-02 -2.973126e-02
#>   [95,] -4.703781e-02  3.075761e-02 -8.247925e-03 -5.504809e-03 -1.755848e-02
#>   [96,] -4.679410e-02 -5.827871e-02  3.448068e-02 -1.037238e-01  1.870024e-02
#>   [97,] -2.469527e-02 -4.048016e-03 -2.572429e-02 -2.051008e-02  4.135910e-02
#>   [98,] -1.337149e-02  2.293151e-02 -3.744659e-02 -2.869124e-02  2.461529e-02
#>   [99,] -3.658207e-02  1.670342e-02 -3.336207e-02  3.213312e-02 -4.872091e-02
#>  [100,] -4.194564e-02 -6.277021e-03 -4.526817e-03 -8.823044e-02  3.128035e-02
#>  [101,] -1.682949e-02  2.488380e-02  4.073665e-03  8.319956e-03  2.395380e-02
#>  [102,] -3.381882e-02 -3.655625e-02  3.218278e-02  2.386495e-02  4.028830e-03
#>  [103,] -3.463590e-02 -1.901508e-02  9.562096e-03  4.672217e-02 -2.005984e-02
#>  [104,] -1.903704e-02 -1.152900e-02 -2.105977e-02 -2.132740e-02 -1.205349e-02
#>  [105,] -1.577148e-19  2.176418e-19 -4.664374e-18 -1.038860e-17  4.273099e-17
#>  [106,] -3.601904e-02 -3.102755e-02 -1.400199e-02 -1.232892e-02  5.810292e-02
#>  [107,] -3.413081e-02 -3.592010e-02  3.449997e-02 -3.643855e-02  2.354511e-02
#>  [108,] -3.209654e-02  1.076636e-02 -6.082355e-02  1.028487e-02 -6.954474e-03
#>  [109,] -2.729257e-02 -3.003513e-03  5.023914e-02 -2.277146e-02 -3.496515e-02
#>  [110,] -3.122851e-02  5.180008e-02 -4.743170e-02 -3.553422e-02  7.464148e-03
#>  [111,] -4.255961e-02 -1.712095e-02 -1.465807e-02 -2.080655e-02 -6.587342e-02
#>  [112,] -6.685746e-03  1.146576e-02 -1.872329e-02 -1.434562e-02  1.230765e-02
#>  [113,] -1.872505e-02 -1.216515e-02 -2.337696e-02  3.897610e-02 -3.156977e-02
#>  [114,] -1.769753e-02 -1.614992e-02 -9.318186e-03  5.413904e-02  9.535183e-03
#>  [115,] -1.682949e-02  2.488380e-02  4.073665e-03  8.319956e-03  2.395380e-02
#>  [116,] -4.839715e-02  4.137374e-02  7.321238e-02  4.541691e-02 -3.576150e-02
#>  [117,] -2.449216e-02 -3.243312e-02 -1.323486e-02  2.405660e-02 -3.170600e-02
#>  [118,] -1.672794e-02  1.069125e-02  1.031838e-02  3.060329e-02 -1.257875e-02
#>  [119,] -5.767105e-03 -2.026797e-02  1.014210e-02 -1.491950e-02 -1.362328e-04
#>  [120,] -3.117790e-02 -2.096736e-02 -3.195815e-02  9.710981e-03 -1.939835e-02
#>  [121,] -1.995568e-02  2.020472e-02 -4.992517e-02 -2.075351e-02  3.903879e-04
#>  [122,] -2.249505e-02 -9.576718e-03  2.046048e-02  1.568379e-02 -1.271498e-02
#>  [123,] -2.826215e-02 -2.984468e-02  3.060258e-02  7.642905e-04 -1.285121e-02
#>  [124,] -2.821121e-02  2.873021e-02  2.137375e-02 -2.219757e-02 -2.252127e-02
#>  [125,] -2.949278e-02  2.525188e-03  4.054376e-03 -5.896533e-02  1.910894e-02
#>  [126,] -3.699562e-02  3.153212e-02 -3.728960e-02 -5.045372e-02  7.327915e-03
#>  [127,] -5.123514e-02  1.342991e-02 -8.812803e-02 -3.332587e-02  1.752459e-02
#>  [128,] -3.030987e-02  2.006636e-02 -1.856630e-02 -3.610810e-02 -4.979732e-03
#>  [129,] -2.049794e-02  1.327968e-02  5.415582e-02  7.310985e-03  6.276037e-03
#>  [130,] -1.014375e-02  1.341804e-02  2.279696e-02  2.266557e-02  1.164616e-02
#>  [131,] -2.954373e-02 -5.604971e-02  1.328320e-02 -3.600346e-02  2.877899e-02
#>  [132,] -6.685746e-03  1.146576e-02 -1.872329e-02 -1.434562e-02  1.230765e-02
#>  [133,] -1.245285e-02 -8.802209e-03 -8.581193e-03 -2.926512e-02  1.217141e-02
#>  [134,] -1.672794e-02  1.069125e-02  1.031838e-02  3.060329e-02 -1.257875e-02
#>  [135,] -2.664143e-02  3.167048e-02 -6.864846e-02 -3.509913e-02  1.269803e-02
#>  [136,] -2.928235e-02  1.608159e-02 -4.507528e-03 -2.094516e-02  3.612522e-02
#>  [137,] -3.036082e-02 -3.850853e-02 -9.337475e-03 -1.314624e-02  4.690320e-03
#>  [138,] -2.341369e-02  2.215701e-02 -8.404915e-03  1.625768e-02 -2.711017e-04
#>  [139,] -2.999788e-02  1.943021e-02 -2.088349e-02  2.419540e-02 -2.449601e-02
#>  [140,] -4.168459e-02 -6.548806e-02  2.384821e-03 -4.965083e-03  2.143413e-02
#>  [141,] -4.137959e-02  2.327662e-02 -3.583408e-03 -6.322130e-03 -7.097108e-02
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#>  [913,] -7.173308e-02  2.670959e-02 -3.397222e-02 -2.601489e-02  2.380062e-02
#>  [914,] -2.918079e-02  1.889040e-03  1.737186e-03  1.338174e-03 -4.073346e-04
#>  [915,] -3.658207e-02  1.670342e-02 -3.336207e-02  3.213312e-02 -4.872091e-02
#>  [916,] -3.694501e-02 -4.123533e-02 -2.181605e-02 -5.208520e-03 -1.953459e-02
#>  [917,] -2.765550e-02 -6.094226e-02  6.178516e-02 -6.011309e-02 -5.778818e-03
#>  [918,] -2.438327e-02 -4.684165e-03 -2.804148e-02  3.979342e-02  2.184283e-02
#>  [919,] -2.249505e-02 -9.576718e-03  2.046048e-02  1.568379e-02 -1.271498e-02
#>  [920,] -4.847189e-02 -3.982976e-02 -2.258319e-02 -4.159404e-02  7.027433e-02
#>  [921,] -1.585991e-02  5.172497e-02  2.371023e-02 -1.521579e-02  1.839873e-03
#>  [922,] -2.702419e-02 -2.027305e-02  3.609945e-02  5.394739e-02  4.527001e-02
#>  [923,] -7.394062e-02 -9.703208e-03 -5.910565e-02 -5.566224e-02 -1.220667e-02
#>  [924,] -2.372568e-02  2.279315e-02 -6.087725e-03 -4.404582e-02  1.924517e-02
#>  [925,] -2.810965e-02  1.453766e-02  2.761846e-02  8.576687e-05 -5.905382e-02
#>  [926,] -1.117127e-02  1.740281e-02  8.738182e-03  7.502634e-03 -2.945879e-02
#>  [927,] -2.800077e-02  4.228661e-02  1.281185e-02  1.582259e-02 -5.504989e-03
#>  [928,] -5.767105e-03 -2.026797e-02  1.014210e-02 -1.491950e-02 -1.362328e-04
#>  [929,] -2.907924e-02 -1.230351e-02  7.981900e-03  2.362151e-02 -3.693989e-02
#>  [930,] -1.245285e-02 -8.802209e-03 -8.581193e-03 -2.926512e-02  1.217141e-02
#>  [931,] -1.800952e-02 -1.551377e-02 -7.000997e-03 -6.164460e-03  2.905146e-02
#>  [932,] -1.245285e-02 -8.802209e-03 -8.581193e-03 -2.926512e-02  1.217141e-02
#>  [933,] -1.800952e-02 -1.551377e-02 -7.000997e-03 -6.164460e-03  2.905146e-02
#>  [934,] -4.740075e-02 -2.718114e-02  3.298093e-03 -4.284645e-02  1.162785e-02
#>  [935,] -5.516496e-02 -7.030550e-02 -2.025515e-02 -4.939314e-02 -7.499405e-03
#>  [936,] -2.718368e-02  2.474544e-02  3.543253e-02 -7.034632e-03  1.858368e-02
#>  [937,] -1.800952e-02 -1.551377e-02 -7.000997e-03 -6.164460e-03  2.905146e-02
#>  [938,] -2.341369e-02  2.215701e-02 -8.404915e-03  1.625768e-02 -2.711017e-04
#>  [939,] -3.570705e-02 -3.166370e-02 -1.631918e-02  4.797458e-02  3.858664e-02
#>  [940,] -2.907191e-02  2.963799e-02 -1.306943e-02  1.707500e-02  5.314149e-02
#>  [941,] -2.821121e-02  2.873021e-02  2.137375e-02 -2.219757e-02 -2.252127e-02
#>  [942,] -2.362412e-02  8.600604e-03  1.569893e-04 -2.176249e-02 -1.728738e-02
#>  [943,] -1.872505e-02 -1.216515e-02 -2.337696e-02  3.897610e-02 -3.156977e-02
#>  [944,] -3.755166e-02 -1.013775e-02 -5.299864e-02  5.566886e-02 -2.660698e-02
#>  [945,] -2.351524e-02  3.634956e-02 -1.464963e-02 -6.025662e-03  3.626145e-02
#>  [946,] -4.239279e-02 -2.019794e-02 -3.504248e-02  3.362896e-02  5.089429e-02
#>  [947,] -3.591748e-02 -4.522010e-02 -7.757279e-03  9.954419e-03  2.157036e-02
#>  [948,] -1.775546e-02  1.467602e-02 -3.740397e-03  1.544035e-02 -5.368370e-02
#>  [949,] -2.049794e-02  1.327968e-02  5.415582e-02  7.310985e-03  6.276037e-03
#>  [950,] -1.591085e-02 -6.849924e-03  3.293906e-02  7.746072e-03  1.150992e-02
#>  [951,] -1.153421e-02 -4.053593e-02  2.028420e-02 -2.983900e-02 -2.724657e-04
#>  [952,] -2.611254e-02  3.739406e-02  6.131381e-02 -8.287040e-03 -4.006280e-02
#>  [953,] -1.117127e-02  1.740281e-02  8.738182e-03  7.502634e-03 -2.945879e-02
#>  [954,] -2.826215e-02 -2.984468e-02  3.060258e-02  7.642905e-04 -1.285121e-02
#>  [955,] -2.718368e-02  2.474544e-02  3.543253e-02 -7.034632e-03  1.858368e-02
#>  [956,] -1.893549e-02 -2.572155e-02 -1.481506e-02  9.559395e-04 -4.858604e-02
#>  [957,] -4.795645e-02  6.249133e-02 -3.711332e-02 -4.930925e-03 -5.114601e-03
#>  [958,] -6.685746e-03  1.146576e-02 -1.872329e-02 -1.434562e-02  1.230765e-02
#>  [959,] -3.355743e-02  3.557505e-02  1.439204e-02  3.892325e-02  1.137506e-02
#>  [960,] -2.490570e-02 -1.760442e-02 -1.716239e-02 -5.853024e-02  2.434283e-02
#>  [961,] -1.782202e-19  1.803009e-19 -5.035280e-18 -1.090887e-17  4.485406e-17
#>  [962,] -4.929630e-02 -6.423009e-02 -2.415253e-02 -1.219030e-02 -4.389572e-02
#>  [963,] -3.086591e-02 -2.160351e-02 -3.427534e-02  7.001448e-02 -3.891463e-02
#>  [964,] -2.765550e-02 -6.094226e-02  6.178516e-02 -6.011309e-02 -5.778818e-03
#>  [965,] -1.612129e-02 -2.040633e-02  4.150096e-02 -3.027409e-02 -5.506353e-03
#>  [966,] -3.127946e-02 -6.774810e-03 -3.820287e-02 -1.257236e-02  1.713420e-02
#>  [967,] -1.127283e-02  3.159536e-02  2.493468e-03 -1.478070e-02  7.073760e-03
#>  [968,] -3.020832e-02  5.873811e-03 -1.232159e-02 -1.382476e-02 -4.151228e-02
#>  [969,] -1.035419e-02 -1.383598e-04  3.135886e-02 -1.535459e-02 -5.370120e-03
#>  [970,] -5.031650e-02 -1.830381e-02 -5.926264e-02 -3.389976e-02  5.080708e-03
#>  [971,] -1.326994e-02  8.738964e-03 -3.120187e-02 -6.407897e-03 -1.191726e-02
#>  [972,] -2.469527e-02 -4.048016e-03 -2.572429e-02 -2.051008e-02  4.135910e-02
#>  [973,] -2.454277e-02  4.033433e-02 -2.870840e-02 -2.118860e-02 -4.843499e-03
#>  [974,] -1.693838e-02 -2.865153e-03  1.888028e-02 -7.416867e-03 -2.959503e-02
#>  [975,] -1.892816e-02  1.621995e-02 -3.586639e-02 -5.590576e-03  4.149534e-02
#>  [976,]  1.707563e-19 -2.183368e-19  4.712280e-18  9.904904e-18 -4.194298e-17
#>  [977,] -5.556667e-03 -6.711564e-03  1.580196e-03  2.310066e-02  1.688004e-02
#>  [978,] -1.892816e-02  1.621995e-02 -3.586639e-02 -5.590576e-03  4.149534e-02
#>  [979,] -2.902130e-02 -4.312945e-02  2.404110e-03  6.232020e-02  2.627899e-02
#>  [980,] -1.224241e-02  4.754193e-03 -1.714310e-02  8.755042e-03  2.918769e-02
#>  [981,] -2.356619e-02 -2.222534e-02 -5.420800e-03  1.693620e-02  4.593150e-02
#>  [982,] -1.795857e-02  4.306112e-02 -1.622983e-02 -2.912632e-02  1.938141e-02
#>  [983,] -4.045362e-02  3.348440e-02  4.230654e-03 -1.344253e-02  6.666425e-03
#>  [984,] -4.816723e-02 -8.240741e-02 -3.849044e-03  2.525598e-02 -3.932333e-02
#>  [985,] -2.259660e-02  4.615833e-03  1.421576e-02 -6.599546e-03  2.381757e-02
#>  [986,] -3.963653e-02  1.594323e-02  2.685133e-02 -3.629975e-02  3.075510e-02
#>  [987,] -2.049794e-02  1.327968e-02  5.415582e-02  7.310985e-03  6.276037e-03
#>  [988,] -3.209654e-02  1.076636e-02 -6.082355e-02  1.028487e-02 -6.954474e-03
#>  [989,] -3.127946e-02 -6.774810e-03 -3.820287e-02 -1.257236e-02  1.713420e-02
#>  [990,] -3.714812e-02 -1.285023e-02 -3.430548e-02 -4.977520e-02  5.353052e-02
#>  [991,] -2.708213e-02  1.055289e-02  4.167724e-02  1.524871e-02 -1.794887e-02
#>  [992,] -3.622948e-02 -4.458395e-02 -5.440089e-03 -5.034908e-02  4.108664e-02
#>  [993,] -3.597542e-02 -1.439416e-02 -2.179490e-03 -2.874427e-02 -4.164852e-02
#>  [994,] -3.591748e-02 -4.522010e-02 -7.757279e-03  9.954419e-03  2.157036e-02
#>  [995,] -2.444121e-02  2.614178e-02 -2.246369e-02  1.094737e-03 -4.137605e-02
#>  [996,]  1.182149e-20 -2.138658e-20  4.957266e-19  1.043617e-18 -4.438631e-18
#>  [997,] -1.882660e-02  2.027399e-03 -2.962168e-02  1.669276e-02  4.962785e-03
#>  [998,] -2.331213e-02  7.964455e-03 -2.160201e-03  3.854101e-02 -3.680365e-02
#>  [999,] -2.234255e-02  3.480563e-02  1.747636e-02  1.500527e-02 -5.891759e-02
#> [1000,] -4.076561e-02  3.412055e-02  6.547844e-03 -7.374603e-02  2.618270e-02
#> 
#> $nconv
#> [1] 5
#> 
#> $niter
#> [1] 1
#> 
#> $nops
#> [1] 20
#> 

n <- 1000
d <- 100

k1 <- 5
k2 <- 3

X <- matrix(rpois(n = n * k1, 1), nrow = n)
Y <- matrix(rpois(n = d * k2, 1), nrow = d)
S <- matrix(runif(n = k1 * k2, 0, .1), nrow = k1)

dfm <- directed_factor_model(X = X, S = S, Y = Y)

expected_edges(dfm)
#> [1] 104573.9
expected_in_degree(dfm)
#> [1] 1045.739
expected_out_degree(dfm)
#> [1] 104.5739

svds(dfm)
#> $d
#> [1] 416.897984  19.594926   5.682794
#> 
#> $u
#>                [,1]          [,2]          [,3]
#>    [1,] 0.011026736  0.0254565020 -1.835390e-02
#>    [2,] 0.008659212  0.0190745244  2.679943e-02
#>    [3,] 0.046527618 -0.0182010900 -5.499932e-03
#>    [4,] 0.044848168 -0.0453580251 -4.548423e-03
#>    [5,] 0.039395637 -0.0171499361  1.553488e-02
#>    [6,] 0.026844828 -0.0235263934 -2.622465e-02
#>    [7,] 0.011314532 -0.0119942425 -3.021903e-03
#>    [8,] 0.022552954 -0.0275041134  1.834907e-02
#>    [9,] 0.017867764  0.0226503695 -4.244151e-02
#>   [10,] 0.052925473 -0.0297934577  1.614539e-02
#>   [11,] 0.037501343 -0.0425462212 -1.095930e-02
#>   [12,] 0.010950626  0.0219408736  6.038974e-03
#>   [13,] 0.026371598 -0.0045120858  4.542285e-02
#>   [14,] 0.042708973 -0.0411931176 -3.257371e-02
#>   [15,] 0.031394442 -0.0291988751 -2.955181e-02
#>   [16,] 0.043660613  0.0538340497 -1.540347e-02
#>   [17,] 0.028084263  0.0340500295  6.277590e-03
#>   [18,] 0.053371804  0.0181985005 -4.186673e-02
#>   [19,] 0.026814772  0.0042741494 -3.100888e-04
#>   [20,] 0.044054575 -0.0079016092 -5.037891e-02
#>   [21,] 0.020446974 -0.0119340257 -4.786997e-02
#>   [22,] 0.023792389  0.0300723094  5.085131e-02
#>   [23,] 0.042421178 -0.0037423731 -4.790571e-02
#>   [24,] 0.041029034 -0.0213091721  1.306168e-02
#>   [25,] 0.013314992 -0.0108828718 -2.683516e-02
#>   [26,] 0.068319547  0.0107598486  6.916464e-02
#>   [27,] 0.028818390  0.0445912431 -3.640254e-02
#>   [28,] 0.041375515  0.1293791464 -1.920139e-02
#>   [29,] 0.051107288 -0.0516741145 -3.474165e-02
#>   [30,] 0.011026736  0.0254565020 -1.835390e-02
#>   [31,] 0.015500240  0.0162683919  2.711814e-03
#>   [32,] 0.024708792  0.0198442371 -6.652913e-02
#>   [33,] 0.026447708 -0.0009964575  2.102998e-02
#>   [34,] 0.041319988 -0.0195541936  1.611449e-02
#>   [35,] 0.013314992 -0.0108828718 -2.683516e-02
#>   [36,] 0.032851879  0.0658226208  1.811692e-02
#>   [37,] 0.039031732  0.0167851801  2.459575e-02
#>   [38,] 0.006473964 -0.0080767393 -2.747550e-03
#>   [39,] 0.051735249 -0.0168479864 -2.711435e-02
#>   [40,] 0.015711926 -0.0246979810  4.243668e-02
#>   [41,] 0.008659212  0.0190745244  2.679943e-02
#>   [42,] 0.039004833  0.0837914458  3.823112e-02
#>   [43,] 0.015711926 -0.0246979810  4.243668e-02
#>   [44,] 0.028451327  0.0393206363 -1.506247e-02
#>   [45,] 0.026553874 -0.0252813719 -2.927746e-02
#>   [46,] 0.051077232 -0.0238735718 -8.827092e-03
#>   [47,] 0.021974204  0.0081916526 -3.573635e-05
#>   [48,] 0.032560925  0.0640676424  1.506411e-02
#>   [49,] 0.039980702  0.0255657439  9.361303e-03
#>   [50,] 0.015711926 -0.0246979810  4.243668e-02
#>   [51,] 0.010947468 -0.0172648494  1.831816e-02
#>   [52,] 0.019398153  0.0819817708 -6.886465e-03
#>   [53,] 0.046236665 -0.0199560685 -8.552739e-03
#>   [54,] 0.028735964 -0.0373358312  1.254871e-02
#>   [55,] 0.013605946 -0.0091278933 -2.378236e-02
#>   [56,] 0.013682056 -0.0056122649 -4.817523e-02
#>   [57,] 0.004185708  0.0282626344  5.733716e-03
#>   [58,] 0.010659673  0.0201858951  2.986166e-03
#>   [59,] 0.055186831  0.0008734343  2.129950e-02
#>   [60,] 0.019897634  0.0035646535  4.817040e-02
#>   [61,] 0.013238882 -0.0143985001 -2.442293e-03
#>   [62,] 0.015212444  0.0537191364 -1.262018e-02
#>   [63,] 0.008947008 -0.0183762201  4.213142e-02
#>   [64,] 0.021610299  0.0421267688  9.025140e-03
#>   [65,] 0.017500700  0.0173797627 -2.110145e-02
#>   [66,] 0.020079910 -0.0172046326 -2.652991e-02
#>   [67,] 0.047106368 -0.0538968561  1.288487e-02
#>   [68,] 0.033215784  0.0318875047  9.056045e-03
#>   [69,] 0.037113697  0.0976008836 -5.422339e-04
#>   [70,] 0.010947468 -0.0172648494  1.831816e-02
#>   [71,] 0.010950626  0.0219408736  6.038974e-03
#>   [72,] 0.027288001 -0.0147401582 -7.195759e-02
#>   [73,] 0.048425071  0.0464009181  8.715051e-03
#>   [74,] 0.029103028 -0.0320652244 -8.791355e-03
#>   [75,] 0.013605946 -0.0091278933 -2.378236e-02
#>   [76,] 0.031318332 -0.0327145035 -5.158938e-03
#>   [77,] 0.017791654  0.0191347412 -1.804864e-02
#>   [78,] 0.018079450 -0.0183160033 -2.716645e-03
#>   [79,] 0.025792849  0.0311836802  2.703804e-02
#>   [80,] 0.035656260  0.0025793877 -4.821097e-02
#>   [81,] 0.033579690 -0.0020476114 -4.831265e-06
#>   [82,] 0.030954427  0.0012206127  3.901939e-03
#>   [83,] 0.036235009 -0.0331163783 -2.982616e-02
#>   [84,] 0.015133177  0.0109977851  2.405188e-02
#>   [85,] 0.019973744  0.0070802818  2.377753e-02
#>   [86,] 0.011314532 -0.0119942425 -3.021903e-03
#>   [87,] 0.061869323 -0.0873754008  7.055600e-02
#>   [88,] 0.013314992 -0.0108828718 -2.683516e-02
#>   [89,] 0.040417559 -0.0440594669 -1.181326e-02
#>   [90,] 0.032557767  0.0248619194  2.734330e-02
#>   [91,] 0.006841028 -0.0028061325 -2.408761e-02
#>   [92,] 0.004185708  0.0282626344  5.733716e-03
#>   [93,] 0.035216245  0.0329988755 -1.475722e-02
#>   [94,] 0.039395637 -0.0171499361  1.553488e-02
#>   [95,] 0.035507198  0.0347538540 -1.170441e-02
#>   [96,] 0.042421178 -0.0037423731 -4.790571e-02
#>   [97,] 0.044239362  0.0181382837  2.981335e-03
#>   [98,] 0.033394902 -0.0280875043 -5.336507e-02
#>   [99,] 0.041901895 -0.0160442367  2.222010e-02
#>  [100,] 0.008659212  0.0190745244  2.679943e-02
#>  [101,] 0.040341450 -0.0475750952  1.257961e-02
#>  [102,] 0.017867764  0.0226503695 -4.244151e-02
#>  [103,] 0.032924831  0.0301325262  6.003238e-03
#>  [104,] 0.032557767  0.0248619194  2.734330e-02
#>  [105,] 0.035791836 -0.0419026135  1.590677e-02
#>  [106,] 0.035213087 -0.0062068475 -2.478029e-03
#>  [107,] 0.027288001 -0.0147401582 -7.195759e-02
#>  [108,] 0.033500422 -0.0447689628  3.666723e-02
#>  [109,] 0.031685395 -0.0274438966 -2.649900e-02
#>  [110,] 0.023504593  0.0675230539  3.551931e-02
#>  [111,] 0.015136335  0.0502035080  1.177269e-02
#>  [112,] 0.051365028 -0.0613243163  6.504904e-03
#>  [113,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [114,] 0.017424591  0.0138641343  3.291424e-03
#>  [115,] 0.059845769  0.0101217612 -4.461428e-02
#>  [116,] 0.024262460 -0.0281477211 -8.517003e-03
#>  [117,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [118,] 0.010659673  0.0201858951  2.986166e-03
#>  [119,] 0.031030536  0.0047362410 -2.049093e-02
#>  [120,] 0.017867764  0.0226503695 -4.244151e-02
#>  [121,] 0.035580150 -0.0009362407 -2.381809e-02
#>  [122,] 0.038238628  0.0072007154 -6.591861e-02
#>  [123,] 0.019606680  0.0018096750  4.511759e-02
#>  [124,] 0.010950626  0.0219408736  6.038974e-03
#>  [125,] 0.062712774 -0.0619133786 -3.471075e-02
#>  [126,] 0.010947468 -0.0172648494  1.831816e-02
#>  [127,] 0.024186351 -0.0316633495  1.587587e-02
#>  [128,] 0.042268958 -0.0107736298  8.800361e-04
#>  [129,] 0.057584411 -0.0205451308 -4.976839e-02
#>  [130,] 0.028739122  0.0018698918  2.695211e-04
#>  [131,] 0.028739122  0.0018698918  2.695211e-04
#>  [132,] 0.057011331  0.1011655371  4.762816e-02
#>  [133,] 0.015133177  0.0109977851  2.405188e-02
#>  [134,] 0.028451327  0.0393206363 -1.506247e-02
#>  [135,] 0.021607141  0.0029210458  2.130433e-02
#>  [136,] 0.006764918 -0.0063217608  3.052575e-04
#>  [137,] 0.026768718 -0.0270420217 -1.831778e-03
#>  [138,] 0.026735504 -0.0384472020  3.636197e-02
#>  [139,] 0.043693181  0.0728426859  8.674252e-02
#>  [140,] 0.056027124 -0.0128702664 -7.168806e-02
#>  [141,] 0.040526884 -0.0291386583 -7.439988e-02
#>  [142,] 0.028739122  0.0018698918  2.695211e-04
#>  [143,] 0.017318424  0.0381490487  5.359886e-02
#>  [144,] 0.045584964  0.0514297921 -1.482386e-02
#>  [145,] 0.033212626 -0.0073182183  2.133523e-02
#>  [146,] 0.058136262  0.0107653689 -1.774821e-02
#>  [147,] 0.034743015  0.0520131830  5.689028e-02
#>  [148,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [149,] 0.047076958 -0.0336997692 -1.015403e-01
#>  [150,] 0.044481105 -0.0506286319  1.679164e-02
#>  [151,] 0.041584043  0.0492070506  3.280267e-02
#>  [152,] 0.013529836 -0.0126435216  6.105150e-04
#>  [153,] 0.030660315 -0.0397400888  1.312832e-02
#>  [154,] 0.032848721  0.0266168979  3.039611e-02
#>  [155,] 0.024341728  0.0145736302 -4.518906e-02
#>  [156,] 0.035289196 -0.0026912191 -2.687090e-02
#>  [157,] 0.024556572  0.0128129803 -1.774338e-02
#>  [158,] 0.015424130  0.0127527635  2.710469e-02
#>  [159,] 0.023583861  0.1102444053 -1.152749e-03
#>  [160,] 0.022189048  0.0064310027  2.740994e-02
#>  [161,] 0.012844921  0.0473371588  3.253314e-02
#>  [162,] 0.004185708  0.0282626344  5.733716e-03
#>  [163,] 0.020003800 -0.0207202609 -2.137035e-03
#>  [164,] 0.030448629  0.0012262841 -2.659655e-02
#>  [165,] 0.044633324 -0.0435973752 -3.199410e-02
#>  [166,] 0.037107381  0.0191894377  2.401614e-02
#>  [167,] 0.017894016 -0.0367524403  8.426285e-02
#>  [168,] 0.024341728  0.0145736302 -4.518906e-02
#>  [169,] 0.042054114 -0.0090129800 -2.656564e-02
#>  [170,] 0.015133177  0.0109977851  2.405188e-02
#>  [171,] 0.031394442 -0.0291988751 -2.955181e-02
#>  [172,] 0.028815232  0.0053855201 -2.412335e-02
#>  [173,] 0.022552954 -0.0275041134  1.834907e-02
#>  [174,] 0.015212444  0.0537191364 -1.262018e-02
#>  [175,] 0.029026918 -0.0355808527  1.560152e-02
#>  [176,] 0.039765858  0.0273263938 -1.808438e-02
#>  [177,] 0.024265618  0.0110580019 -2.079619e-02
#>  [178,] 0.031030536  0.0047362410 -2.049093e-02
#>  [179,] 0.010950626  0.0219408736  6.038974e-03
#>  [180,] 0.022265158  0.0099466311  3.017071e-03
#>  [181,] 0.032848721  0.0266168979  3.039611e-02
#>  [182,] 0.037686130 -0.0165063284  4.240094e-02
#>  [183,] 0.044239362  0.0181382837  2.981335e-03
#>  [184,] 0.035001401  0.0347595254 -4.220290e-02
#>  [185,] 0.044484263 -0.0114229090  4.512454e-03
#>  [186,] 0.030663473 -0.0005343658  8.491311e-04
#>  [187,] 0.046375399 -0.0252323468  4.328581e-02
#>  [188,] 0.004473504 -0.0091881101  2.106571e-02
#>  [189,] 0.044742002 -0.0210731107  4.575901e-02
#>  [190,] 0.028375217  0.0358050079  9.330398e-03
#>  [191,] 0.000000000  0.0000000000  0.000000e+00
#>  [192,] 0.041504775  0.0064856992  6.947473e-02
#>  [193,] 0.004473504 -0.0091881101  2.106571e-02
#>  [194,] 0.035580150 -0.0009362407 -2.381809e-02
#>  [195,] 0.013238882 -0.0143985001 -2.442293e-03
#>  [196,] 0.042497288 -0.0002267448 -7.229858e-02
#>  [197,] 0.034849181  0.0277282686  6.582847e-03
#>  [198,] 0.051080390  0.0153321512 -2.110628e-02
#>  [199,] 0.037504501 -0.0033404983 -2.323848e-02
#>  [200,] 0.017712386 -0.0235866102  1.862342e-02
#>  [201,] 0.010659673  0.0201858951  2.986166e-03
#>  [202,] 0.010950626  0.0219408736  6.038974e-03
#>  [203,] 0.013314992 -0.0108828718 -2.683516e-02
#>  [204,] 0.006764918 -0.0063217608  3.052575e-04
#>  [205,] 0.032845563 -0.0125888251  4.267530e-02
#>  [206,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [207,] 0.021607141  0.0029210458  2.130433e-02
#>  [208,] 0.029470091 -0.0267946175 -3.013142e-02
#>  [209,] 0.048528079 -0.0170897193 -2.931319e-02
#>  [210,] 0.010659673  0.0201858951  2.986166e-03
#>  [211,] 0.026086961  0.0721443817  1.781166e-02
#>  [212,] 0.013314992 -0.0108828718 -2.683516e-02
#>  [213,] 0.046345342  0.0025681960  6.920037e-02
#>  [214,] 0.037656720  0.0036907585 -7.202423e-02
#>  [215,] 0.047109526 -0.0146911331  6.056837e-04
#>  [216,] 0.030848260  0.0255055271  5.420937e-02
#>  [217,] 0.050819493 -0.0142233700 -5.007365e-02
#>  [218,] 0.015136335  0.0502035080  1.177269e-02
#>  [219,] 0.004185708  0.0282626344  5.733716e-03
#>  [220,] 0.019421893 -0.0242302179 -8.242650e-03
#>  [221,] 0.015424130  0.0127527635  2.710469e-02
#>  [222,] 0.021894936 -0.0345296987  3.663632e-02
#>  [223,] 0.047793952 -0.0276309329  1.336693e-02
#>  [224,] 0.031132898 -0.0511509404  8.182055e-02
#>  [225,] 0.029030076  0.0036248703  3.322329e-03
#>  [226,] 0.032848721  0.0266168979  3.039611e-02
#>  [227,] 0.035292355  0.0365145038 -3.915009e-02
#>  [228,] 0.039474905  0.0255714153 -2.113718e-02
#>  [229,] 0.041580885  0.0100013276  4.508185e-02
#>  [230,] 0.024447248 -0.0021078282  4.484324e-02
#>  [231,] 0.040156015 -0.0660115322  9.955911e-02
#>  [232,] 0.017424591  0.0138641343  3.291424e-03
#>  [233,] 0.019322043  0.0784661425  1.750641e-02
#>  [234,] 0.026186811 -0.0305519787 -7.937393e-03
#>  [235,] 0.037656720  0.0036907585 -7.202423e-02
#>  [236,] 0.021319345  0.0403717903  5.972332e-03
#>  [237,] 0.039398795  0.0220557869  3.255687e-03
#>  [238,] 0.037977084 -0.0147513499  4.545375e-02
#>  [239,] 0.023504593  0.0675230539  3.551931e-02
#>  [240,] 0.052267456 -0.0368190430  3.443265e-02
#>  [241,] 0.013682056 -0.0056122649 -4.817523e-02
#>  [242,] 0.026738662  0.0007585210  2.408278e-02
#>  [243,] 0.034558228  0.0259732902  3.530040e-03
#>  [244,] 0.024447248 -0.0021078282  4.484324e-02
#>  [245,] 0.021319345  0.0403717903  5.972332e-03
#>  [246,] 0.035504040 -0.0044518690  5.747786e-04
#>  [247,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [248,] 0.028739122  0.0018698918  2.695211e-04
#>  [249,] 0.035871104  0.0008187378 -2.076529e-02
#>  [250,] 0.010947468 -0.0172648494  1.831816e-02
#>  [251,] 0.017712386 -0.0235866102  1.862342e-02
#>  [252,] 0.008659212  0.0190745244  2.679943e-02
#>  [253,] 0.024632682  0.0163286087 -4.213625e-02
#>  [254,] 0.024265618  0.0110580019 -2.079619e-02
#>  [255,] 0.037613178  0.0191837663  5.451463e-02
#>  [256,] 0.049030718 -0.0563011136  1.346448e-02
#>  [257,] 0.037868406 -0.0372756144 -3.229936e-02
#>  [258,] 0.029103028 -0.0320652244 -8.791355e-03
#>  [259,] 0.024186351 -0.0316633495  1.587587e-02
#>  [260,] 0.019606680  0.0018096750  4.511759e-02
#>  [261,] 0.017500700  0.0173797627 -2.110145e-02
#>  [262,] 0.014845381  0.0484485296  8.719883e-03
#>  [263,] 0.018079450 -0.0183160033 -2.716645e-03
#>  [264,] 0.017791654  0.0191347412 -1.804864e-02
#>  [265,] 0.041978005 -0.0125286083 -2.172772e-03
#>  [266,] 0.039319527 -0.0206655644  3.992775e-02
#>  [267,] 0.015500240  0.0162683919  2.711814e-03
#>  [268,] 0.042159634 -0.0256944384  6.346666e-02
#>  [269,] 0.021686409  0.0456423971 -1.536773e-02
#>  [270,] 0.047846322  0.0820966841 -9.669752e-03
#>  [271,] 0.024262460 -0.0281477211 -8.517003e-03
#>  [272,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [273,] 0.015136335  0.0502035080  1.177269e-02
#>  [274,] 0.023583861  0.1102444053 -1.152749e-03
#>  [275,] 0.034819125  0.0555288114  3.249741e-02
#>  [276,] 0.032633877  0.0283775477  2.950430e-03
#>  [277,] 0.023974665  0.0093030234 -2.384900e-02
#>  [278,] 0.022262000 -0.0292590919  1.529626e-02
#>  [279,] 0.037689288  0.0226993946  3.012176e-02
#>  [280,] 0.020446974 -0.0119340257 -4.786997e-02
#>  [281,] 0.021901253  0.0438817472  1.207795e-02
#>  [282,] 0.028818390  0.0445912431 -3.640254e-02
#>  [283,] 0.023504593  0.0675230539  3.551931e-02
#>  [284,] 0.044345529 -0.0061466307 -4.732610e-02
#>  [285,] 0.032842405 -0.0517945481  5.495448e-02
#>  [286,] 0.023974665  0.0093030234 -2.384900e-02
#>  [287,] 0.026083803  0.0329386587  3.009085e-02
#>  [288,] 0.017712386 -0.0235866102  1.862342e-02
#>  [289,] 0.013238882 -0.0143985001 -2.442293e-03
#>  [290,] 0.033685856 -0.0263325258 -5.031226e-02
#>  [291,] 0.024553414 -0.0263927426 -5.464195e-03
#>  [292,] 0.037610020 -0.0200219567  6.679382e-02
#>  [293,] 0.021977362  0.0473973756 -1.231492e-02
#>  [294,] 0.042268958 -0.0107736298  8.800361e-04
#>  [295,] 0.028659854 -0.0408514596  3.694158e-02
#>  [296,] 0.028663013 -0.0016457366  2.466239e-02
#>  [297,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [298,] 0.018003340 -0.0218316317  2.167623e-02
#>  [299,] 0.024708792  0.0198442371 -6.652913e-02
#>  [300,] 0.035867946 -0.0383869852 -8.486098e-03
#>  [301,] 0.026477765 -0.0287970002 -4.884585e-03
#>  [302,] 0.015500240  0.0162683919  2.711814e-03
#>  [303,] 0.048739765 -0.0580560921  1.041167e-02
#>  [304,] 0.004185708  0.0282626344  5.733716e-03
#>  [305,] 0.047000848 -0.0372153976 -7.714743e-02
#>  [306,] 0.019973744  0.0070802818  2.377753e-02
#>  [307,] 0.067770854  0.0186550719  2.486527e-02
#>  [308,] 0.059769659  0.0066061328 -2.022141e-02
#>  [309,] 0.021974204  0.0081916526 -3.573635e-05
#>  [310,] 0.011238422 -0.0155098709  2.137097e-02
#>  [311,] 0.081605129  0.0200740637 -7.209570e-02
#>  [312,] 0.035580150 -0.0009362407 -2.381809e-02
#>  [313,] 0.018155559 -0.0148003750 -2.710952e-02
#>  [314,] 0.019685948  0.0445310263  8.445530e-03
#>  [315,] 0.038023784  0.0089613653 -9.336429e-02
#>  [316,] 0.024189509  0.0075423735  3.596681e-03
#>  [317,] 0.004473504 -0.0091881101  2.106571e-02
#>  [318,] 0.042268958 -0.0107736298  8.800361e-04
#>  [319,] 0.017712386 -0.0235866102  1.862342e-02
#>  [320,] 0.037031271  0.0156738093  4.840901e-02
#>  [321,] 0.031103488 -0.0309538536 -3.260462e-02
#>  [322,] 0.019973744  0.0070802818  2.377753e-02
#>  [323,] 0.019973744  0.0070802818  2.377753e-02
#>  [324,] 0.000000000  0.0000000000  0.000000e+00
#>  [325,] 0.026450866  0.0382092655  8.750788e-03
#>  [326,] 0.038298094 -0.0407969142  2.259200e-02
#>  [327,] 0.010659673  0.0201858951  2.986166e-03
#>  [328,] 0.062352027  0.0112274606 -3.792906e-02
#>  [329,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [330,] 0.028448169  0.0001149133 -2.783286e-03
#>  [331,] 0.030081566 -0.0040443228 -5.256484e-03
#>  [332,] 0.050925012 -0.0309048285  3.995865e-02
#>  [333,] 0.028815232  0.0053855201 -2.412335e-02
#>  [334,] 0.048425071  0.0464009181  8.715051e-03
#>  [335,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [336,] 0.048425071  0.0464009181  8.715051e-03
#>  [337,] 0.031103488 -0.0309538536 -3.260462e-02
#>  [338,] 0.035583308  0.0382694823 -3.609728e-02
#>  [339,] 0.015133177  0.0109977851  2.405188e-02
#>  [340,] 0.031394442 -0.0291988751 -2.955181e-02
#>  [341,] 0.048161015 -0.0223603261 -7.973129e-03
#>  [342,] 0.031103488 -0.0309538536 -3.260462e-02
#>  [343,] 0.037900974 -0.0182669782  6.984662e-02
#>  [344,] 0.024265618  0.0110580019 -2.079619e-02
#>  [345,] 0.021686409  0.0456423971 -1.536773e-02
#>  [346,] 0.021974204  0.0081916526 -3.573635e-05
#>  [347,] 0.038083250 -0.0390362643 -4.853680e-03
#>  [348,] 0.017421433 -0.0253415887  1.557061e-02
#>  [349,] 0.035656260  0.0025793877 -4.821097e-02
#>  [350,] 0.030560465  0.0629562716  3.887738e-02
#>  [351,] 0.036922594 -0.0068504552 -2.934410e-02
#>  [352,] 0.026629984 -0.0217657435 -5.367033e-02
#>  [353,] 0.011026736  0.0254565020 -1.835390e-02
#>  [354,] 0.022341268  0.0134622594 -2.137580e-02
#>  [355,] 0.043584503  0.0503184214  8.989404e-03
#>  [356,] 0.052822465  0.0336971797  5.417363e-02
#>  [357,] 0.022262000 -0.0292590919  1.529626e-02
#>  [358,] 0.024477304 -0.0299083710  1.892868e-02
#>  [359,] 0.023898555  0.0057873950  5.438736e-04
#>  [360,] 0.033503580 -0.0055632398  2.438804e-02
#>  [361,] 0.035504040 -0.0044518690  5.747786e-04
#>  [362,] 0.026768718 -0.0270420217 -1.831778e-03
#>  [363,] 0.017788496 -0.0200709818 -5.769453e-03
#>  [364,] 0.024262460 -0.0281477211 -8.517003e-03
#>  [365,] 0.022189048  0.0064310027  2.740994e-02
#>  [366,] 0.030345621  0.0647169215  1.143170e-02
#>  [367,] 0.015711926 -0.0246979810  4.243668e-02
#>  [368,] 0.031103488 -0.0309538536 -3.260462e-02
#>  [369,] 0.041399255  0.0231671577 -2.055757e-02
#>  [370,] 0.018079450 -0.0183160033 -2.716645e-03
#>  [371,] 0.042133382  0.0337083714 -6.323770e-02
#>  [372,] 0.023898555  0.0057873950  5.438736e-04
#>  [373,] 0.023792389  0.0300723094  5.085131e-02
#>  [374,] 0.030448629  0.0012262841 -2.659655e-02
#>  [375,] 0.020370864 -0.0154496541 -2.347710e-02
#>  [376,] 0.021610299  0.0421267688  9.025140e-03
#>  [377,] 0.057769198  0.0054947621  3.591850e-03
#>  [378,] 0.008947008 -0.0183762201  4.213142e-02
#>  [379,] 0.019894476 -0.0356410695  6.044959e-02
#>  [380,] 0.028556846  0.0226391778  7.496983e-02
#>  [381,] 0.035791836 -0.0419026135  1.590677e-02
#>  [382,] 0.049186096 -0.0100641339 -4.760045e-02
#>  [383,] 0.011238422 -0.0155098709  2.137097e-02
#>  [384,] 0.028735964 -0.0373358312  1.254871e-02
#>  [385,] 0.032633877  0.0283775477  2.950430e-03
#>  [386,] 0.026371598 -0.0045120858  4.542285e-02
#>  [387,] 0.024080184 -0.0073784351  6.618330e-02
#>  [388,] 0.033318792 -0.0316031327 -2.897220e-02
#>  [389,] 0.024844368 -0.0246377642 -2.411388e-03
#>  [390,] 0.015133177  0.0109977851  2.405188e-02
#>  [391,] 0.004185708  0.0282626344  5.733716e-03
#>  [392,] 0.031030536  0.0047362410 -2.049093e-02
#>  [393,] 0.034846023 -0.0114774543  1.886204e-02
#>  [394,] 0.029026918 -0.0355808527  1.560152e-02
#>  [395,] 0.027026457 -0.0366922235  3.941478e-02
#>  [396,] 0.031318332 -0.0327145035 -5.158938e-03
#>  [397,] 0.044266261 -0.0488679821 -1.065404e-02
#>  [398,] 0.024189509  0.0075423735  3.596681e-03
#>  [399,] 0.011238422 -0.0155098709  2.137097e-02
#>  [400,] 0.038053194 -0.0112357215  2.106088e-02
#>  [401,] 0.033838076 -0.0193012691 -9.909801e-02
#>  [402,] 0.039501803 -0.0414348505 -3.477256e-02
#>  [403,] 0.038235470 -0.0320050076 -5.363942e-02
#>  [404,] 0.026553874 -0.0252813719 -2.927746e-02
#>  [405,] 0.017424591  0.0138641343  3.291424e-03
#>  [406,] 0.026083803  0.0329386587  3.009085e-02
#>  [407,] 0.031533176 -0.0344751533  2.228674e-02
#>  [408,] 0.037477602  0.0636657675 -9.603110e-03
#>  [409,] 0.024265618  0.0110580019 -2.079619e-02
#>  [410,] 0.029182296  0.0106561270 -4.546341e-02
#>  [411,] 0.004473504 -0.0091881101  2.106571e-02
#>  [412,] 0.029026918 -0.0355808527  1.560152e-02
#>  [413,] 0.021607141  0.0029210458  2.130433e-02
#>  [414,] 0.017867764  0.0226503695 -4.244151e-02
#>  [415,] 0.037501343 -0.0425462212 -1.095930e-02
#>  [416,] 0.032848721  0.0266168979  3.039611e-02
#>  [417,] 0.043684353 -0.0523779390 -1.675965e-02
#>  [418,] 0.030633417  0.0272661770  2.676369e-02
#>  [419,] 0.012844921  0.0473371588  3.253314e-02
#>  [420,] 0.053004741  0.0129278936 -2.052667e-02
#>  [421,] 0.017791654  0.0191347412 -1.804864e-02
#>  [422,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [423,] 0.011026736  0.0254565020 -1.835390e-02
#>  [424,] 0.030951269 -0.0379851103  1.618113e-02
#>  [425,] 0.021898095  0.0046760242  2.435714e-02
#>  [426,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [427,] 0.039107841  0.0203008084  2.028797e-04
#>  [428,] 0.033579690 -0.0020476114 -4.831265e-06
#>  [429,] 0.031470552 -0.0256832467 -5.394468e-02
#>  [430,] 0.041905053  0.0231614863  9.940913e-03
#>  [431,] 0.000000000  0.0000000000  0.000000e+00
#>  [432,] 0.029208547 -0.0487466828  8.124094e-02
#>  [433,] 0.024920477 -0.0211221358 -2.680426e-02
#>  [434,] 0.047981897  0.0376146829  5.444799e-02
#>  [435,] 0.057948316 -0.0544802470 -5.882927e-02
#>  [436,] 0.018003340 -0.0218316317  2.167623e-02
#>  [437,] 0.049030718 -0.0563011136  1.346448e-02
#>  [438,] 0.019973744  0.0070802818  2.377753e-02
#>  [439,] 0.030345621  0.0647169215  1.143170e-02
#>  [440,] 0.028735964 -0.0373358312  1.254871e-02
#>  [441,] 0.037319067 -0.0217769352  6.374101e-02
#>  [442,] 0.004185708  0.0282626344  5.733716e-03
#>  [443,] 0.034634338  0.0294889185 -2.086283e-02
#>  [444,] 0.023895397 -0.0334183280  1.282306e-02
#>  [445,] 0.027135782 -0.0217714149 -2.317184e-02
#>  [446,] 0.017424591  0.0138641343  3.291424e-03
#>  [447,] 0.022053472  0.0509130040 -3.670780e-02
#>  [448,] 0.035500882 -0.0436575920  1.285397e-02
#>  [449,] 0.039901434 -0.0171556075  4.603336e-02
#>  [450,] 0.022341268  0.0134622594 -2.137580e-02
#>  [451,] 0.015424130  0.0127527635  2.710469e-02
#>  [452,] 0.060348408 -0.0290896332 -1.836609e-03
#>  [453,] 0.017421433 -0.0253415887  1.557061e-02
#>  [454,] 0.037765398  0.0262150230  5.728885e-03
#>  [455,] 0.042268958 -0.0107736298  8.800361e-04
#>  [456,] 0.044924278 -0.0418423967 -2.894129e-02
#>  [457,] 0.013314992 -0.0108828718 -2.683516e-02
#>  [458,] 0.037580611  0.0001751301 -4.763136e-02
#>  [459,] 0.040420717 -0.0048537439 -2.409245e-02
#>  [460,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [461,] 0.022341268  0.0134622594 -2.137580e-02
#>  [462,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [463,] 0.026086961  0.0721443817  1.781166e-02
#>  [464,] 0.041898737 -0.0552499597  3.449929e-02
#>  [465,] 0.021898095  0.0046760242  2.435714e-02
#>  [466,] 0.031318332 -0.0327145035 -5.158938e-03
#>  [467,] 0.045584964  0.0514297921 -1.482386e-02
#>  [468,] 0.027793310  0.0322950510  3.224782e-03
#>  [469,] 0.024553414 -0.0263927426 -5.464195e-03
#>  [470,] 0.021607141  0.0029210458  2.130433e-02
#>  [471,] 0.004473504 -0.0091881101  2.106571e-02
#>  [472,] 0.044163253  0.0146226553  2.737421e-02
#>  [473,] 0.026368440 -0.0437178088  5.770204e-02
#>  [474,] 0.041687051 -0.0142835868 -5.225579e-03
#>  [475,] 0.015424130  0.0127527635  2.710469e-02
#>  [476,] 0.004473504 -0.0091881101  2.106571e-02
#>  [477,] 0.022053472  0.0509130040 -3.670780e-02
#>  [478,] 0.013529836 -0.0126435216  6.105150e-04
#>  [479,] 0.012844921  0.0473371588  3.253314e-02
#>  [480,] 0.031103488 -0.0309538536 -3.260462e-02
#>  [481,] 0.028269051  0.0600899223  5.963783e-02
#>  [482,] 0.037110539  0.0583951607  1.173695e-02
#>  [483,] 0.037504501 -0.0033404983 -2.323848e-02
#>  [484,] 0.012844921  0.0473371588  3.253314e-02
#>  [485,] 0.035289196 -0.0026912191 -2.687090e-02
#>  [486,] 0.037871564  0.0019301086 -4.457855e-02
#>  [487,] 0.019318885  0.0392604195  2.978559e-02
#>  [488,] 0.030663473 -0.0005343658  8.491311e-04
#>  [489,] 0.030663473 -0.0005343658  8.491311e-04
#>  [490,] 0.017421433 -0.0253415887  1.557061e-02
#>  [491,] 0.010947468 -0.0172648494  1.831816e-02
#>  [492,] 0.013605946 -0.0091278933 -2.378236e-02
#>  [493,] 0.030924370  0.0290211554  2.981650e-02
#>  [494,] 0.008371417  0.0565252689  1.146743e-02
#>  [495,] 0.019788956 -0.0189596110 -2.958271e-02
#>  [496,] 0.037762240 -0.0129907000  1.800807e-02
#>  [497,] 0.042268958 -0.0107736298  8.800361e-04
#>  [498,] 0.035504040 -0.0044518690  5.747786e-04
#>  [499,] 0.017791654  0.0191347412 -1.804864e-02
#>  [500,] 0.023507751  0.1067287769  2.324012e-02
#>  [501,] 0.044665892 -0.0245887391  7.015188e-02
#>  [502,] 0.020446974 -0.0119340257 -4.786997e-02
#>  [503,] 0.032633877  0.0283775477  2.950430e-03
#>  [504,] 0.031473710  0.0135224762 -6.622387e-02
#>  [505,] 0.030372519 -0.0022893443 -2.203677e-03
#>  [506,] 0.037401493  0.0601501391  1.478976e-02
#>  [507,] 0.035500882 -0.0436575920  1.285397e-02
#>  [508,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [509,] 0.028739122  0.0018698918  2.695211e-04
#>  [510,] 0.028663013 -0.0016457366  2.466239e-02
#>  [511,] 0.017788496 -0.0200709818 -5.769453e-03
#>  [512,] 0.038159360 -0.0355206359 -2.924655e-02
#>  [513,] 0.044454206  0.0163776338  3.042701e-02
#>  [514,] 0.028735964 -0.0373358312  1.254871e-02
#>  [515,] 0.015212444  0.0537191364 -1.262018e-02
#>  [516,] 0.037610020 -0.0200219567  6.679382e-02
#>  [517,] 0.043581345  0.0111126984  2.126859e-02
#>  [518,] 0.004185708  0.0282626344  5.733716e-03
#>  [519,] 0.024553414 -0.0263927426 -5.464195e-03
#>  [520,] 0.000000000  0.0000000000  0.000000e+00
#>  [521,] 0.039107841  0.0203008084  2.028797e-04
#>  [522,] 0.033212626 -0.0073182183  2.133523e-02
#>  [523,] 0.026159913  0.0364542870  5.697980e-03
#>  [524,] 0.039686591 -0.0153949576  1.858768e-02
#>  [525,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [526,] 0.026163071  0.0756600100 -6.581208e-03
#>  [527,] 0.039769017  0.0665321167 -3.036356e-02
#>  [528,] 0.033318792 -0.0316031327 -2.897220e-02
#>  [529,] 0.031242222 -0.0362301318  1.923393e-02
#>  [530,] 0.035794994 -0.0026968906  3.627586e-03
#>  [531,] 0.028372059 -0.0034007151  2.160959e-02
#>  [532,] 0.016742833  0.1130505377  2.293487e-02
#>  [533,] 0.057845308  0.0090103904 -2.080102e-02
#>  [534,] 0.023792389  0.0300723094  5.085131e-02
#>  [535,] 0.019788956 -0.0189596110 -2.958271e-02
#>  [536,] 0.083922795 -0.0364623969  3.384821e-02
#>  [537,] 0.017318424  0.0381490487  5.359886e-02
#>  [538,] 0.017791654  0.0191347412 -1.804864e-02
#>  [539,] 0.020370864 -0.0154496541 -2.347710e-02
#>  [540,] 0.033500422 -0.0447689628  3.666723e-02
#>  [541,] 0.028663013 -0.0016457366  2.466239e-02
#>  [542,] 0.038264879 -0.0522020944  6.078575e-02
#>  [543,] 0.037871564  0.0019301086 -4.457855e-02
#>  [544,] 0.048822191  0.0238709822 -3.853957e-02
#>  [545,] 0.047321211 -0.0556575059  4.033055e-02
#>  [546,] 0.017715544  0.0156191128  6.344231e-03
#>  [547,] 0.035216245  0.0329988755 -1.475722e-02
#>  [548,] 0.033291894  0.0354031331 -1.533683e-02
#>  [549,] 0.035735528  0.0453007390 -8.488302e-02
#>  [550,] 0.049030718 -0.0563011136  1.346448e-02
#>  [551,] 0.020294754 -0.0189652825  9.157725e-04
#>  [552,] 0.015500240  0.0162683919  2.711814e-03
#>  [553,] 0.064683178 -0.0330014650 -3.260945e-02
#>  [554,] 0.033291894  0.0354031331 -1.533683e-02
#>  [555,] 0.041396097 -0.0160385653 -8.278387e-03
#>  [556,] 0.026083803  0.0329386587  3.009085e-02
#>  [557,] 0.013314992 -0.0108828718 -2.683516e-02
#>  [558,] 0.024920477 -0.0211221358 -2.680426e-02
#>  [559,] 0.032924831  0.0301325262  6.003238e-03
#>  [560,] 0.030554149 -0.0154551744  6.343575e-02
#>  [561,] 0.043875457  0.0520733998  1.204221e-02
#>  [562,] 0.023795547  0.0692780324  3.857212e-02
#>  [563,] 0.018003340 -0.0218316317  2.167623e-02
#>  [564,] 0.024553414 -0.0263927426 -5.464195e-03
#>  [565,] 0.031136056 -0.0119452174  6.954137e-02
#>  [566,] 0.028663013 -0.0016457366  2.466239e-02
#>  [567,] 0.012844921  0.0473371588  3.253314e-02
#>  [568,] 0.037947674  0.0054457369 -6.897142e-02
#>  [569,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [570,] 0.053735710 -0.0157366157 -5.092761e-02
#>  [571,] 0.053031639 -0.0540783721 -3.416204e-02
#>  [572,] 0.069222464 -0.0117757587  5.240850e-02
#>  [573,] 0.042268958 -0.0107736298  8.800361e-04
#>  [574,] 0.026844828 -0.0235263934 -2.622465e-02
#>  [575,] 0.026814772  0.0042741494 -3.100888e-04
#>  [576,] 0.004473504 -0.0091881101  2.106571e-02
#>  [577,] 0.037137437 -0.0086111051 -1.898419e-03
#>  [578,] 0.000000000  0.0000000000  0.000000e+00
#>  [579,] 0.039474905  0.0255714153 -2.113718e-02
#>  [580,] 0.024265618  0.0110580019 -2.079619e-02
#>  [581,] 0.032924831  0.0301325262  6.003238e-03
#>  [582,] 0.019606680  0.0018096750  4.511759e-02
#>  [583,] 0.019685948  0.0445310263  8.445530e-03
#>  [584,] 0.006764918 -0.0063217608  3.052575e-04
#>  [585,] 0.050819493 -0.0142233700 -5.007365e-02
#>  [586,] 0.006473964 -0.0080767393 -2.747550e-03
#>  [587,] 0.046375399 -0.0252323468  4.328581e-02
#>  [588,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [589,] 0.031837615 -0.0204126399 -7.528475e-02
#>  [590,] 0.017424591  0.0138641343  3.291424e-03
#>  [591,] 0.024553414 -0.0263927426 -5.464195e-03
#>  [592,] 0.020446974 -0.0119340257 -4.786997e-02
#>  [593,] 0.031030536  0.0047362410 -2.049093e-02
#>  [594,] 0.041610941 -0.0177992152  1.916729e-02
#>  [595,] 0.046636296  0.0043231745  7.225318e-02
#>  [596,] 0.052710629 -0.0280328078 -1.130029e-02
#>  [597,] 0.013238882 -0.0143985001 -2.442293e-03
#>  [598,] 0.023974665  0.0093030234 -2.384900e-02
#>  [599,] 0.055739328  0.0245804781 -8.702006e-02
#>  [600,] 0.017500700  0.0173797627 -2.110145e-02
#>  [601,] 0.041610941 -0.0177992152  1.916729e-02
#>  [602,] 0.027135782 -0.0217714149 -2.317184e-02
#>  [603,] 0.027978097  0.0583349439  5.658502e-02
#>  [604,] 0.015133177  0.0109977851  2.405188e-02
#>  [605,] 0.040420717 -0.0048537439 -2.409245e-02
#>  [606,] 0.017715544  0.0156191128  6.344231e-03
#>  [607,] 0.006764918 -0.0063217608  3.052575e-04
#>  [608,] 0.021974204  0.0081916526 -3.573635e-05
#>  [609,] 0.013132716  0.0098864143  4.786514e-02
#>  [610,] 0.015424130  0.0127527635  2.710469e-02
#>  [611,] 0.019421893 -0.0242302179 -8.242650e-03
#>  [612,] 0.022185890 -0.0327747203  3.968913e-02
#>  [613,] 0.015133177  0.0109977851  2.405188e-02
#>  [614,] 0.046924738 -0.0407310260 -5.275456e-02
#>  [615,] 0.024447248 -0.0021078282  4.484324e-02
#>  [616,] 0.017424591  0.0138641343  3.291424e-03
#>  [617,] 0.026159913  0.0364542870  5.697980e-03
#>  [618,] 0.038314737  0.0107163438 -9.031148e-02
#>  [619,] 0.037613178  0.0191837663  5.451463e-02
#>  [620,] 0.022053472  0.0509130040 -3.670780e-02
#>  [621,] 0.015500240  0.0162683919  2.711814e-03
#>  [622,] 0.015212444  0.0537191364 -1.262018e-02
#>  [623,] 0.046818572 -0.0164461116 -2.447124e-03
#>  [624,] 0.028844642 -0.0148115667  9.030182e-02
#>  [625,] 0.035397874  0.0198330454  5.088221e-02
#>  [626,] 0.035368464  0.0400301322 -6.354296e-02
#>  [627,] 0.026553874 -0.0252813719 -2.927746e-02
#>  [628,] 0.026768718 -0.0270420217 -1.831778e-03
#>  [629,] 0.010950626  0.0219408736  6.038974e-03
#>  [630,] 0.035794994 -0.0026968906  3.627586e-03
#>  [631,] 0.030739583  0.0029812626 -2.354374e-02
#>  [632,] 0.015133177  0.0109977851  2.405188e-02
#>  [633,] 0.019685948  0.0445310263  8.445530e-03
#>  [634,] 0.044269419 -0.0096622591 -2.293323e-02
#>  [635,] 0.024920477 -0.0211221358 -2.680426e-02
#>  [636,] 0.013605946 -0.0091278933 -2.378236e-02
#>  [637,] 0.030845102 -0.0137001959  6.648856e-02
#>  [638,] 0.035213087 -0.0062068475 -2.478029e-03
#>  [639,] 0.017133637  0.0121091558  2.386161e-04
#>  [640,] 0.036740317  0.0139188308  4.535621e-02
#>  [641,] 0.055947856 -0.0555916177 -3.501600e-02
#>  [642,] 0.022185890 -0.0327747203  3.968913e-02
#>  [643,] 0.035289196 -0.0026912191 -2.687090e-02
#>  [644,] 0.006764918 -0.0063217608  3.052575e-04
#>  [645,] 0.031609286 -0.0309595250 -2.106130e-03
#>  [646,] 0.033609746 -0.0298481542 -2.591939e-02
#>  [647,] 0.026553874 -0.0252813719 -2.927746e-02
#>  [648,] 0.019712847 -0.0224752394 -5.189843e-03
#>  [649,] 0.026080645 -0.0062670643  4.237004e-02
#>  [650,] 0.021898095  0.0046760242  2.435714e-02
#>  [651,] 0.028375217  0.0358050079  9.330398e-03
#>  [652,] 0.017424591  0.0138641343  3.291424e-03
#>  [653,] 0.017424591  0.0138641343  3.291424e-03
#>  [654,] 0.035292355  0.0365145038 -3.915009e-02
#>  [655,] 0.026920938 -0.0200107650 -5.061752e-02
#>  [656,] 0.017791654  0.0191347412 -1.804864e-02
#>  [657,] 0.022262000 -0.0292590919  1.529626e-02
#>  [658,] 0.037319067 -0.0217769352  6.374101e-02
#>  [659,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [660,] 0.029026918 -0.0355808527  1.560152e-02
#>  [661,] 0.037425233 -0.0460618496  1.343358e-02
#>  [662,] 0.035431089  0.0312382256  1.268846e-02
#>  [663,] 0.024480462  0.0092973520  6.649489e-03
#>  [664,] 0.028084263  0.0340500295  6.277590e-03
#>  [665,] 0.035213087 -0.0062068475 -2.478029e-03
#>  [666,] 0.022189048  0.0064310027  2.740994e-02
#>  [667,] 0.024477304 -0.0299083710  1.892868e-02
#>  [668,] 0.031212166 -0.0084295891  4.514849e-02
#>  [669,] 0.034846023 -0.0114774543  1.886204e-02
#>  [670,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [671,] 0.050640375  0.0457516390  1.234747e-02
#>  [672,] 0.031212166 -0.0084295891  4.514849e-02
#>  [673,] 0.018079450 -0.0183160033 -2.716645e-03
#>  [674,] 0.017791654  0.0191347412 -1.804864e-02
#>  [675,] 0.021974204  0.0081916526 -3.573635e-05
#>  [676,] 0.031318332 -0.0327145035 -5.158938e-03
#>  [677,] 0.028451327  0.0393206363 -1.506247e-02
#>  [678,] 0.008947008 -0.0183762201  4.213142e-02
#>  [679,] 0.029317872 -0.0338258742  1.865432e-02
#>  [680,] 0.021610299  0.0421267688  9.025140e-03
#>  [681,] 0.031394442 -0.0291988751 -2.955181e-02
#>  [682,] 0.045690483  0.0347483337  7.520844e-02
#>  [683,] 0.018079450 -0.0183160033 -2.716645e-03
#>  [684,] 0.019606680  0.0018096750  4.511759e-02
#>  [685,] 0.037110539  0.0583951607  1.173695e-02
#>  [686,] 0.056511850  0.1795826545 -7.428699e-03
#>  [687,] 0.034052919 -0.0210619190 -7.165233e-02
#>  [688,] 0.026368440 -0.0437178088  5.770204e-02
#>  [689,] 0.024265618  0.0110580019 -2.079619e-02
#>  [690,] 0.024341728  0.0145736302 -4.518906e-02
#>  [691,] 0.022265158  0.0099466311  3.017071e-03
#>  [692,] 0.048997504 -0.0677062939  5.165823e-02
#>  [693,] 0.033080208  0.0763695059 -5.506169e-02
#>  [694,] 0.042268958 -0.0107736298  8.800361e-04
#>  [695,] 0.066971434 -0.0693408388 -4.109072e-02
#>  [696,] 0.017424591  0.0138641343  3.291424e-03
#>  [697,] 0.017712386 -0.0235866102  1.862342e-02
#>  [698,] 0.039901434 -0.0171556075  4.603336e-02
#>  [699,] 0.028663013 -0.0016457366  2.466239e-02
#>  [700,] 0.038159360 -0.0355206359 -2.924655e-02
#>  [701,] 0.020003800 -0.0207202609 -2.137035e-03
#>  [702,] 0.031242222 -0.0362301318  1.923393e-02
#>  [703,] 0.028739122  0.0018698918  2.695211e-04
#>  [704,] 0.037401493  0.0601501391  1.478976e-02
#>  [705,] 0.047406306  0.1125161719  2.378400e-02
#>  [706,] 0.026738662  0.0007585210  2.408278e-02
#>  [707,] 0.024367980 -0.0448291796  8.151530e-02
#>  [708,] 0.024262460 -0.0281477211 -8.517003e-03
#>  [709,] 0.012947929 -0.0161534786 -5.495100e-03
#>  [710,] 0.026447708 -0.0009964575  2.102998e-02
#>  [711,] 0.017788496 -0.0200709818 -5.769453e-03
#>  [712,] 0.014845381  0.0484485296  8.719883e-03
#>  [713,] 0.041220138  0.0831421667  4.186354e-02
#>  [714,] 0.030951269 -0.0379851103  1.618113e-02
#>  [715,] 0.030951269 -0.0379851103  1.618113e-02
#>  [716,] 0.022265158  0.0099466311  3.017071e-03
#>  [717,] 0.032713145  0.0710988991 -3.372163e-02
#>  [718,] 0.023504593  0.0675230539  3.551931e-02
#>  [719,] 0.033212626 -0.0073182183  2.133523e-02
#>  [720,] 0.020446974 -0.0119340257 -4.786997e-02
#>  [721,] 0.017791654  0.0191347412 -1.804864e-02
#>  [722,] 0.011026736  0.0254565020 -1.835390e-02
#>  [723,] 0.026768718 -0.0270420217 -1.831778e-03
#>  [724,] 0.033368004  0.0389187614 -3.972970e-02
#>  [725,] 0.015788036 -0.0211823526  1.804381e-02
#>  [726,] 0.024708792  0.0198442371 -6.652913e-02
#>  [727,] 0.030815693  0.0064968909 -4.793661e-02
#>  [728,] 0.035504040 -0.0044518690  5.747786e-04
#>  [729,] 0.013314992 -0.0108828718 -2.683516e-02
#>  [730,] 0.045899658 -0.0530272181 -1.312724e-02
#>  [731,] 0.019712847 -0.0224752394 -5.189843e-03
#>  [732,] 0.029103028 -0.0320652244 -8.791355e-03
#>  [733,] 0.004473504 -0.0091881101  2.106571e-02
#>  [734,] 0.015711926 -0.0246979810  4.243668e-02
#>  [735,] 0.015711926 -0.0246979810  4.243668e-02
#>  [736,] 0.013238882 -0.0143985001 -2.442293e-03
#>  [737,] 0.004473504 -0.0091881101  2.106571e-02
#>  [738,] 0.026374757  0.0346936372  3.314366e-02
#>  [739,] 0.035427931 -0.0079674974  2.496765e-02
#>  [740,] 0.040159820 -0.0344092651 -5.305981e-02
#>  [741,] 0.004185708  0.0282626344  5.733716e-03
#>  [742,] 0.013529836 -0.0126435216  6.105150e-04
#>  [743,] 0.050710169 -0.0291441786  1.251297e-02
#>  [744,] 0.053140317 -0.0315541076  4.359107e-02
#>  [745,] 0.028448169  0.0001149133 -2.783286e-03
#>  [746,] 0.037325383  0.0566345108  3.918263e-02
#>  [747,] 0.037504501 -0.0033404983 -2.323848e-02
#>  [748,] 0.013682056 -0.0056122649 -4.817523e-02
#>  [749,] 0.028663013 -0.0016457366  2.466239e-02
#>  [750,] 0.027102567 -0.0331765951  1.502191e-02
#>  [751,] 0.020523083 -0.0084183974 -7.226284e-02
#>  [752,] 0.008947008 -0.0183762201  4.213142e-02
#>  [753,] 0.028663013 -0.0016457366  2.466239e-02
#>  [754,] 0.017788496 -0.0200709818 -5.769453e-03
#>  [755,] 0.041610941 -0.0177992152  1.916729e-02
#>  [756,] 0.028448169  0.0001149133 -2.783286e-03
#>  [757,] 0.017133637  0.0121091558  2.386161e-04
#>  [758,] 0.010659673  0.0201858951  2.986166e-03
#>  [759,] 0.050925012 -0.0309048285  3.995865e-02
#>  [760,] 0.042526697 -0.0204238316  4.212659e-02
#>  [761,] 0.024708792  0.0198442371 -6.652913e-02
#>  [762,] 0.004473504 -0.0091881101  2.106571e-02
#>  [763,] 0.039977544 -0.0136399791  2.164049e-02
#>  [764,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [765,] 0.022552954 -0.0275041134  1.834907e-02
#>  [766,] 0.073669227  0.0854798216 -8.546268e-03
#>  [767,] 0.048451969 -0.0206053476 -4.920322e-03
#>  [768,] 0.041690209  0.0249221362 -1.750477e-02
#>  [769,] 0.060288942  0.0189079964 -9.034722e-02
#>  [770,] 0.018079450 -0.0183160033 -2.716645e-03
#>  [771,] 0.024553414 -0.0263927426 -5.464195e-03
#>  [772,] 0.006764918 -0.0063217608  3.052575e-04
#>  [773,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [774,] 0.040235930 -0.0308936368 -7.745269e-02
#>  [775,] 0.015133177  0.0109977851  2.405188e-02
#>  [776,] 0.019609839  0.0410153980  3.283840e-02
#>  [777,] 0.032924831  0.0301325262  6.003238e-03
#>  [778,] 0.018155559 -0.0148003750 -2.710952e-02
#>  [779,] 0.029317872 -0.0338258742  1.865432e-02
#>  [780,] 0.015133177  0.0109977851  2.405188e-02
#>  [781,] 0.031182756  0.0117674978 -6.927668e-02
#>  [782,] 0.017421433 -0.0253415887  1.557061e-02
#>  [783,] 0.028448169  0.0001149133 -2.783286e-03
#>  [784,] 0.024265618  0.0110580019 -2.079619e-02
#>  [785,] 0.011026736  0.0254565020 -1.835390e-02
#>  [786,] 0.058087050 -0.0597565252 -6.990715e-03
#>  [787,] 0.042086682  0.0099956562  7.558034e-02
#>  [788,] 0.018079450 -0.0183160033 -2.716645e-03
#>  [789,] 0.021977362  0.0473973756 -1.231492e-02
#>  [790,] 0.071081032 -0.0445938327 -1.096413e-02
#>  [791,] 0.022265158  0.0099466311  3.017071e-03
#>  [792,] 0.024556572  0.0128129803 -1.774338e-02
#>  [793,] 0.015711926 -0.0246979810  4.243668e-02
#>  [794,] 0.013605946 -0.0091278933 -2.378236e-02
#>  [795,] 0.036822743  0.0958459052 -3.595042e-03
#>  [796,] 0.043978465 -0.0114172375 -2.598603e-02
#>  [797,] 0.038264879 -0.0522020944  6.078575e-02
#>  [798,] 0.000000000  0.0000000000  0.000000e+00
#>  [799,] 0.047978739 -0.0015910401  6.672718e-02
#>  [800,] 0.046375399 -0.0252323468  4.328581e-02
#>  [801,] 0.042238902  0.0170269129  2.679460e-02
#>  [802,] 0.008371417  0.0565252689  1.146743e-02
#>  [803,] 0.030736425 -0.0362244604 -1.126455e-02
#>  [804,] 0.017712386 -0.0235866102  1.862342e-02
#>  [805,] 0.024159452  0.0353429163  2.951124e-02
#>  [806,] 0.026450866  0.0382092655  8.750788e-03
#>  [807,] 0.014845381  0.0484485296  8.719883e-03
#>  [808,] 0.032848721  0.0266168979  3.039611e-02
#>  [809,] 0.026374757  0.0346936372  3.314366e-02
#>  [810,] 0.018155559 -0.0148003750 -2.710952e-02
#>  [811,] 0.020079910 -0.0172046326 -2.652991e-02
#>  [812,] 0.048742923 -0.0188503691 -1.867514e-03
#>  [813,] 0.026450866  0.0382092655  8.750788e-03
#>  [814,] 0.017500700  0.0173797627 -2.110145e-02
#>  [815,] 0.021610299  0.0421267688  9.025140e-03
#>  [816,] 0.024341728  0.0145736302 -4.518906e-02
#>  [817,] 0.004473504 -0.0091881101  2.106571e-02
#>  [818,] 0.041005294  0.0849028166  1.441786e-02
#>  [819,] 0.022552954 -0.0275041134  1.834907e-02
#>  [820,] 0.055002043 -0.0251664586 -3.206074e-02
#>  [821,] 0.004185708  0.0282626344  5.733716e-03
#>  [822,] 0.055216887 -0.0269271084 -4.615064e-03
#>  [823,] 0.011238422 -0.0155098709  2.137097e-02
#>  [824,] 0.019318885  0.0392604195  2.978559e-02
#>  [825,] 0.026920938 -0.0200107650 -5.061752e-02
#>  [826,] 0.030951269 -0.0379851103  1.618113e-02
#>  [827,] 0.026371598 -0.0045120858  4.542285e-02
#>  [828,] 0.046606886  0.0245202613 -4.217199e-02
#>  [829,] 0.031609286 -0.0309595250 -2.106130e-03
#>  [830,] 0.036922594 -0.0068504552 -2.934410e-02
#>  [831,] 0.017788496 -0.0200709818 -5.769453e-03
#>  [832,] 0.017788496 -0.0200709818 -5.769453e-03
#>  [833,] 0.049655521 -0.0606807086  3.337097e-02
#>  [834,] 0.039554173  0.0682927666 -5.780924e-02
#>  [835,] 0.025872117  0.0739050315 -9.634015e-03
#>  [836,] 0.030663473 -0.0005343658  8.491311e-04
#>  [837,] 0.022552954 -0.0275041134  1.834907e-02
#>  [838,] 0.013238882 -0.0143985001 -2.442293e-03
#>  [839,] 0.044345529 -0.0061466307 -4.732610e-02
#>  [840,] 0.015212444  0.0537191364 -1.262018e-02
#>  [841,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [842,] 0.017424591  0.0138641343  3.291424e-03
#>  [843,] 0.015420972 -0.0264529594  3.938387e-02
#>  [844,] 0.025872117  0.0739050315 -9.634015e-03
#>  [845,] 0.054852982  0.0070080077  4.445812e-03
#>  [846,] 0.041978005 -0.0125286083 -2.172772e-03
#>  [847,] 0.000000000  0.0000000000  0.000000e+00
#>  [848,] 0.024189509  0.0075423735  3.596681e-03
#>  [849,] 0.032921673 -0.0090731968  1.828243e-02
#>  [850,] 0.021898095  0.0046760242  2.435714e-02
#>  [851,] 0.010950626  0.0219408736  6.038974e-03
#>  [852,] 0.021607141  0.0029210458  2.130433e-02
#>  [853,] 0.029241762 -0.0373415026  4.304720e-02
#>  [854,] 0.026526976  0.0417248939 -1.564208e-02
#>  [855,] 0.013529836 -0.0126435216  6.105150e-04
#>  [856,] 0.044160094 -0.0245830677  3.965339e-02
#>  [857,] 0.050895603 -0.0107077416 -7.446652e-02
#>  [858,] 0.015420972 -0.0264529594  3.938387e-02
#>  [859,] 0.013132716  0.0098864143  4.786514e-02
#>  [860,] 0.026371598 -0.0045120858  4.542285e-02
#>  [861,] 0.039610481 -0.0189105859  4.298055e-02
#>  [862,] 0.041216979  0.0439364437  5.414273e-02
#>  [863,] 0.026163071  0.0756600100 -6.581208e-03
#>  [864,] 0.044894221 -0.0140418540 -3.026734e-03
#>  [865,] 0.010659673  0.0201858951  2.986166e-03
#>  [866,] 0.049397782 -0.0510305068 -7.875583e-03
#>  [867,] 0.018003340 -0.0218316317  2.167623e-02
#>  [868,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [869,] 0.022185890 -0.0327747203  3.968913e-02
#>  [870,] 0.022629063 -0.0239884851 -6.043805e-03
#>  [871,] 0.042054114 -0.0090129800 -2.656564e-02
#>  [872,] 0.037504501 -0.0033404983 -2.323848e-02
#>  [873,] 0.008947008 -0.0183762201  4.213142e-02
#>  [874,] 0.017867764  0.0226503695 -4.244151e-02
#>  [875,] 0.050848903 -0.0344204568  6.435152e-02
#>  [876,] 0.050637217  0.0065459160  2.462666e-02
#>  [877,] 0.019609839  0.0410153980  3.283840e-02
#>  [878,] 0.053689009 -0.0394493308  8.789043e-02
#>  [879,] 0.024265618  0.0110580019 -2.079619e-02
#>  [880,] 0.017424591  0.0138641343  3.291424e-03
#>  [881,] 0.026553874 -0.0252813719 -2.927746e-02
#>  [882,] 0.032633877  0.0283775477  2.950430e-03
#>  [883,] 0.024632682  0.0163286087 -4.213625e-02
#>  [884,] 0.037580611  0.0001751301 -4.763136e-02
#>  [885,] 0.024920477 -0.0211221358 -2.680426e-02
#>  [886,] 0.021898095  0.0046760242  2.435714e-02
#>  [887,] 0.024262460 -0.0281477211 -8.517003e-03
#>  [888,] 0.036455680  0.0905752983  1.774502e-02
#>  [889,] 0.008659212  0.0190745244  2.679943e-02
#>  [890,] 0.033288736 -0.0038025899 -3.057639e-03
#>  [891,] 0.046242981  0.0584553775 -3.311111e-02
#>  [892,] 0.021610299  0.0421267688  9.025140e-03
#>  [893,] 0.055369107 -0.0198958517 -5.340081e-02
#>  [894,] 0.044239362  0.0181382837  2.981335e-03
#>  [895,] 0.046745620  0.0192439831  9.666560e-03
#>  [896,] 0.022265158  0.0099466311  3.017071e-03
#>  [897,] 0.022265158  0.0099466311  3.017071e-03
#>  [898,] 0.041763161 -0.0107679584 -2.961845e-02
#>  [899,] 0.049106828 -0.0527854853 -1.092839e-02
#>  [900,] 0.042054114 -0.0090129800 -2.656564e-02
#>  [901,] 0.021974204  0.0081916526 -3.573635e-05
#>  [902,] 0.032163805  0.0865975783  6.231874e-02
#>  [903,] 0.057613821 -0.0407422177  6.465678e-02
#>  [904,] 0.022265158  0.0099466311  3.017071e-03
#>  [905,] 0.042054114 -0.0090129800 -2.656564e-02
#>  [906,] 0.032633877  0.0283775477  2.950430e-03
#>  [907,] 0.019318885  0.0392604195  2.978559e-02
#>  [908,] 0.024447248 -0.0021078282  4.484324e-02
#>  [909,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [910,] 0.013605946 -0.0091278933 -2.378236e-02
#>  [911,] 0.024262460 -0.0281477211 -8.517003e-03
#>  [912,] 0.020370864 -0.0154496541 -2.347710e-02
#>  [913,] 0.060424518 -0.0255740048 -2.622948e-02
#>  [914,] 0.012947929 -0.0161534786 -5.495100e-03
#>  [915,] 0.035947214  0.0043343662 -4.515816e-02
#>  [916,] 0.011026736  0.0254565020 -1.835390e-02
#>  [917,] 0.037947674  0.0054457369 -6.897142e-02
#>  [918,] 0.019897634  0.0035646535  4.817040e-02
#>  [919,] 0.024477304 -0.0299083710  1.892868e-02
#>  [920,] 0.013314992 -0.0108828718 -2.683516e-02
#>  [921,] 0.029317872 -0.0338258742  1.865432e-02
#>  [922,] 0.031685395 -0.0274438966 -2.649900e-02
#>  [923,] 0.020156020 -0.0136890042 -5.092278e-02
#>  [924,] 0.041974847 -0.0517343313  1.010642e-02
#>  [925,] 0.031027378 -0.0344694819 -8.211745e-03
#>  [926,] 0.039689749  0.0238107654  6.308495e-03
#>  [927,] 0.028451327  0.0393206363 -1.506247e-02
#>  [928,] 0.034849181  0.0277282686  6.582847e-03
#>  [929,] 0.022185890 -0.0327747203  3.968913e-02
#>  [930,] 0.035001401  0.0347595254 -4.220290e-02
#>  [931,] 0.029317872 -0.0338258742  1.865432e-02
#>  [932,] 0.006764918 -0.0063217608  3.052575e-04
#>  [933,] 0.031397600  0.0100068479 -4.183100e-02
#>  [934,] 0.034925291  0.0312438970 -1.781002e-02
#>  [935,] 0.041690209  0.0249221362 -1.750477e-02
#>  [936,] 0.021974204  0.0081916526 -3.573635e-05
#>  [937,] 0.028739122  0.0018698918  2.695211e-04
#>  [938,] 0.031106646  0.0082518694 -4.488380e-02
#>  [939,] 0.031470552 -0.0256832467 -5.394468e-02
#>  [940,] 0.030663473 -0.0005343658  8.491311e-04
#>  [941,] 0.017712386 -0.0235866102  1.862342e-02
#>  [942,] 0.032633877  0.0283775477  2.950430e-03
#>  [943,] 0.024080184 -0.0073784351  6.618330e-02
#>  [944,] 0.017133637  0.0121091558  2.386161e-04
#>  [945,] 0.032845563 -0.0125888251  4.267530e-02
#>  [946,] 0.033209468 -0.0465239413  3.361442e-02
#>  [947,] 0.051007438  0.0510222459 -8.992595e-03
#>  [948,] 0.044163253  0.0146226553  2.737421e-02
#>  [949,] 0.035580150 -0.0009362407 -2.381809e-02
#>  [950,] 0.015424130  0.0127527635  2.710469e-02
#>  [951,] 0.006841028 -0.0028061325 -2.408761e-02
#>  [952,] 0.028739122  0.0018698918  2.695211e-04
#>  [953,] 0.024844368 -0.0246377642 -2.411388e-03
#>  [954,] 0.045793491 -0.0287423037  3.718020e-02
#>  [955,] 0.011314532 -0.0119942425 -3.021903e-03
#>  [956,] 0.024265618  0.0110580019 -2.079619e-02
#>  [957,] 0.031212166 -0.0084295891  4.514849e-02
#>  [958,] 0.034849181  0.0277282686  6.582847e-03
#>  [959,] 0.021977362  0.0473973756 -1.231492e-02
#>  [960,] 0.064716392 -0.0215962848 -7.080320e-02
#>  [961,] 0.050921854 -0.0701105515  5.223784e-02
#>  [962,] 0.039765858  0.0273263938 -1.808438e-02
#>  [963,] 0.031685395 -0.0274438966 -2.649900e-02
#>  [964,] 0.042192849 -0.0142892582  2.527291e-02
#>  [965,] 0.020261539 -0.0303704627  3.910952e-02
#>  [966,] 0.008371417  0.0565252689  1.146743e-02
#>  [967,] 0.033471012 -0.0245718760 -7.775794e-02
#>  [968,] 0.038159360 -0.0355206359 -2.924655e-02
#>  [969,] 0.026553874 -0.0252813719 -2.927746e-02
#>  [970,] 0.042268958 -0.0107736298  8.800361e-04
#>  [971,] 0.033368004  0.0389187614 -3.972970e-02
#>  [972,] 0.018155559 -0.0148003750 -2.710952e-02
#>  [973,] 0.041687051 -0.0142835868 -5.225579e-03
#>  [974,] 0.037477602  0.0636657675 -9.603110e-03
#>  [975,] 0.031103488 -0.0309538536 -3.260462e-02
#>  [976,] 0.041981163  0.0266771147 -1.445196e-02
#>  [977,] 0.037322225  0.0174287878  5.146182e-02
#>  [978,] 0.041660153  0.0527226789  8.409794e-03
#>  [979,] 0.006764918 -0.0063217608  3.052575e-04
#>  [980,] 0.013132716  0.0098864143  4.786514e-02
#>  [981,] 0.022185890 -0.0327747203  3.968913e-02
#>  [982,] 0.077164193  0.0482708099  8.984572e-03
#>  [983,] 0.021898095  0.0046760242  2.435714e-02
#>  [984,] 0.040083710 -0.0379248935 -2.866694e-02
#>  [985,] 0.048639915  0.0446402682  3.616073e-02
#>  [986,] 0.057481403  0.0429455066 -1.174015e-02
#>  [987,] 0.026768718 -0.0270420217 -1.831778e-03
#>  [988,] 0.035216245  0.0329988755 -1.475722e-02
#>  [989,] 0.031685395 -0.0274438966 -2.649900e-02
#>  [990,] 0.035318606 -0.0228883060  8.755427e-02
#>  [991,] 0.010947468 -0.0172648494  1.831816e-02
#>  [992,] 0.041981163  0.0266771147 -1.445196e-02
#>  [993,] 0.024186351 -0.0316633495  1.587587e-02
#>  [994,] 0.028160373  0.0375656578 -1.811528e-02
#>  [995,] 0.018079450 -0.0183160033 -2.716645e-03
#>  [996,] 0.024186351 -0.0316633495  1.587587e-02
#>  [997,] 0.044636482 -0.0043916522 -4.427329e-02
#>  [998,] 0.021686409  0.0456423971 -1.536773e-02
#>  [999,] 0.017424591  0.0138641343  3.291424e-03
#> [1000,] 0.035216245  0.0329988755 -1.475722e-02
#> 
#> $v
#>                [,1]          [,2]          [,3]
#>   [1,] 8.514348e-02  8.628310e-02 -7.734185e-02
#>   [2,] 1.869791e-02 -1.773494e-02  7.974568e-02
#>   [3,] 4.770729e-02 -7.600085e-02  2.830516e-02
#>   [4,] 5.707643e-02  1.400860e-02 -6.439118e-02
#>   [5,] 8.608582e-02 -4.425731e-02 -1.158317e-01
#>   [6,] 2.900938e-02 -5.826591e-02 -5.144052e-02
#>   [7,] 1.702466e-01 -2.518762e-02  1.104547e-01
#>   [8,] 1.869791e-02 -1.773494e-02  7.974568e-02
#>   [9,] 6.546286e-02  3.680463e-02  1.465407e-01
#>  [10,] 2.095674e-01 -1.239845e-01 -7.217205e-02
#>  [11,] 1.869791e-02 -1.773494e-02  7.974568e-02
#>  [12,] 2.105098e-01 -2.545249e-01 -1.106619e-01
#>  [13,] 1.122682e-01  2.890980e-01 -5.180266e-02
#>  [14,] 1.506063e-01  1.230877e-01  6.919884e-02
#>  [15,] 8.514348e-02  8.628310e-02 -7.734185e-02
#>  [16,] 5.707643e-02  1.400860e-02 -6.439118e-02
#>  [17,] 1.028991e-01  1.990886e-01  4.089368e-02
#>  [18,] 1.047837e-01 -6.199225e-02 -3.608602e-02
#>  [19,] 6.640520e-02 -9.373578e-02  1.080508e-01
#>  [20,] 6.640520e-02 -9.373578e-02  1.080508e-01
#>  [21,] 1.028991e-01  1.990886e-01  4.089368e-02
#>  [22,] 5.707643e-02  1.400860e-02 -6.439118e-02
#>  [23,] 1.047837e-01 -6.199225e-02 -3.608602e-02
#>  [24,] 1.524910e-01 -1.379931e-01 -7.780864e-03
#>  [25,] 9.447225e-02 -2.146128e-02  9.510017e-02
#>  [26,] 7.483200e-02  1.268141e-01  5.384435e-02
#>  [27,] 1.038414e-01  6.854817e-02  2.403829e-03
#>  [28,] 8.514348e-02  8.628310e-02 -7.734185e-02
#>  [29,] 1.815004e-01 -1.962590e-01 -5.922138e-02
#>  [30,] 2.067404e-01  2.676367e-01  4.329751e-02
#>  [31,] 1.786330e-01 -2.391578e-03  3.213865e-01
#>  [32,] 5.613410e-02  1.445490e-01 -2.590133e-02
#>  [33,] 9.447225e-02 -2.146128e-02  9.510017e-02
#>  [34,] 7.577434e-02 -3.726340e-03  1.535449e-02
#>  [35,] 1.225393e-01  5.081323e-02  8.214950e-02
#>  [36,] 4.770729e-02 -7.600085e-02  2.830516e-02
#>  [37,] 4.676496e-02  5.453957e-02  6.679501e-02
#>  [38,] 8.514348e-02  8.628310e-02 -7.734185e-02
#>  [39,] 7.483200e-02  1.268141e-01  5.384435e-02
#>  [40,] 2.806705e-02  7.227451e-02 -1.295066e-02
#>  [41,] 4.770729e-02 -7.600085e-02  2.830516e-02
#>  [42,] 2.900938e-02 -5.826591e-02 -5.144052e-02
#>  [43,] 7.577434e-02 -3.726340e-03  1.535449e-02
#>  [44,] 1.047837e-01 -6.199225e-02 -3.608602e-02
#>  [45,] 8.702815e-02 -1.747977e-01 -1.543216e-01
#>  [46,] 8.514348e-02  8.628310e-02 -7.734185e-02
#>  [47,] 2.900938e-02 -5.826591e-02 -5.144052e-02
#>  [48,] 7.577434e-02 -3.726340e-03  1.535449e-02
#>  [49,] 1.141529e-01  2.801719e-02 -1.287824e-01
#>  [50,] 1.141470e-18  1.788847e-18  5.590712e-17
#>  [51,] 2.189366e-01 -3.397506e-02 -1.648684e-01
#>  [52,] 2.806705e-02  7.227451e-02 -1.295066e-02
#>  [53,] 1.131702e-01 -3.919621e-02  1.748458e-01
#>  [54,] 1.038414e-01  6.854817e-02  2.403829e-03
#>  [55,] 6.640520e-02 -9.373578e-02  1.080508e-01
#>  [56,] 1.412776e-01  2.308321e-01 -1.032432e-01
#>  [57,] 7.577434e-02 -3.726340e-03  1.535449e-02
#>  [58,] 6.640520e-02 -9.373578e-02  1.080508e-01
#>  [59,] 1.141529e-01  2.801719e-02 -1.287824e-01
#>  [60,] 2.806705e-02  7.227451e-02 -1.295066e-02
#>  [61,] 1.431622e-01 -3.024872e-02 -1.802229e-01
#>  [62,] 8.608582e-02 -4.425731e-02 -1.158317e-01
#>  [63,] 6.640520e-02 -9.373578e-02  1.080508e-01
#>  [64,] 1.047837e-01 -6.199225e-02 -3.608602e-02
#>  [65,] 1.515487e-01 -7.452680e-03  3.070899e-02
#>  [66,] 5.707643e-02  1.400860e-02 -6.439118e-02
#>  [67,] 8.608582e-02 -4.425731e-02 -1.158317e-01
#>  [68,] 5.613410e-02  1.445490e-01 -2.590133e-02
#>  [69,] 1.225393e-01  5.081323e-02  8.214950e-02
#>  [70,] 2.900938e-02 -5.826591e-02 -5.144052e-02
#>  [71,] 6.546286e-02  3.680463e-02  1.465407e-01
#>  [72,] 8.608582e-02 -4.425731e-02 -1.158317e-01
#>  [73,] 9.352991e-02  1.090791e-01  1.335900e-01
#>  [74,] 9.447225e-02 -2.146128e-02  9.510017e-02
#>  [75,] 1.132105e-01  1.585576e-01 -9.029251e-02
#>  [76,] 1.869791e-02 -1.773494e-02  7.974568e-02
#>  [77,] 1.918119e-01 -2.367900e-01 -1.904076e-01
#>  [78,] 1.328104e-01 -1.874716e-01  2.161017e-01
#>  [79,] 8.608582e-02 -4.425731e-02 -1.158317e-01
#>  [80,] 7.577434e-02 -3.726340e-03  1.535449e-02
#>  [81,] 1.141529e-01  2.801719e-02 -1.287824e-01
#>  [82,] 1.869791e-02 -1.773494e-02  7.974568e-02
#>  [83,] 8.514348e-02  8.628310e-02 -7.734185e-02
#>  [84,] 1.038010e-01 -1.292057e-01  2.675422e-01
#>  [85,] 8.416077e-02  1.906970e-02  2.262864e-01
#>  [86,] 4.676496e-02  5.453957e-02  6.679501e-02
#>  [87,] 1.038010e-01 -1.292057e-01  2.675422e-01
#>  [88,] 5.801877e-02 -1.165318e-01 -1.028810e-01
#>  [89,] 7.577434e-02 -3.726340e-03  1.535449e-02
#>  [90,] 1.796157e-01  6.482183e-02  1.775832e-02
#>  [91,] 1.047837e-01 -6.199225e-02 -3.608602e-02
#>  [92,] 2.900938e-02 -5.826591e-02 -5.144052e-02
#>  [93,] 1.786734e-01  1.953622e-01  5.624818e-02
#>  [94,] 7.577434e-02 -3.726340e-03  1.535449e-02
#>  [95,] 8.514348e-02  8.628310e-02 -7.734185e-02
#>  [96,] 4.770729e-02 -7.600085e-02  2.830516e-02
#>  [97,] 5.801877e-02 -1.165318e-01 -1.028810e-01
#>  [98,] 5.707643e-02  1.400860e-02 -6.439118e-02
#>  [99,] 2.900938e-02 -5.826591e-02 -5.144052e-02
#> [100,] 2.806705e-02  7.227451e-02 -1.295066e-02
#> 
#> $niter
#> [1] 1
#> 
#> $nops
#> [1] 43
#>