Get posterior distribution of both prevalence and the ICC on a grid. Prevalence is returned in columns, ICC in rows. See also plot_joint for how to make a contour plot from this grid.

get_joint(
  n,
  N,
  prior_prev_shape1 = 1,
  prior_prev_shape2 = 1,
  prior_ICC_shape1 = 1,
  prior_ICC_shape2 = 9,
  prev_breaks = seq(0, 1, 0.01),
  ICC_breaks = seq(0, 1, 0.01)
)

Arguments

n, N

the numerator (n) and denominator (N) per cluster. These are both integer vectors.

prior_prev_shape1, prior_prev_shape2, prior_ICC_shape1, prior_ICC_shape2

parameters that dictate the shape of the Beta priors on prevalence and the ICC. See the Wikipedia page on the Beta distribution for more detail. The default values of these parameters were chosen based on an analysis of historical pfhrp2/3 studies, although this does not guarantee that they will be suitable in all settings.

prev_breaks, ICC_breaks

the values at which to evaluate the posterior in both dimensions. Prevalence is returned in columns, ICC in rows.

Examples

get_joint(n = c(5, 2, 9), N = c(100, 80, 120))
#>        [,1]         [,2]         [,3]         [,4]         [,5]         [,6]
#>   [1,]    0 4.355355e-08 1.597032e-04 5.698242e-03 2.996528e-02 5.440668e-02
#>   [2,]    0 8.976095e-05 2.115004e-03 1.056888e-02 2.409907e-02 3.345076e-02
#>   [3,]    0 1.906471e-04 2.187166e-03 7.664473e-03 1.502817e-02 2.044489e-02
#>   [4,]    0 1.921505e-04 1.686383e-03 5.163954e-03 9.623762e-03 1.319210e-02
#>   [5,]    0 1.578686e-04 1.218625e-03 3.501543e-03 6.400275e-03 8.887897e-03
#>   [6,]    0 1.208247e-04 8.701196e-04 2.419370e-03 4.394038e-03 6.186245e-03
#>   [7,]    0 9.013796e-05 6.236193e-04 1.704135e-03 3.094403e-03 4.414689e-03
#>   [8,]    0 6.674128e-05 4.508435e-04 1.221197e-03 2.224082e-03 3.212816e-03
#>   [9,]    0 4.943136e-05 3.291669e-04 8.882436e-04 1.625253e-03 2.375178e-03
#>  [10,]    0 3.674712e-05 2.426674e-04 6.543607e-04 1.203966e-03 1.778583e-03
#>  [11,]    0 2.745849e-05 1.805154e-04 4.873572e-04 9.020737e-04 1.346044e-03
#>  [12,]    0 2.063292e-05 1.353819e-04 3.663990e-04 6.823729e-04 1.027782e-03
#>  [13,]    0 1.559072e-05 1.022778e-04 2.777004e-04 5.203842e-04 7.906754e-04
#>  [14,]    0 1.184351e-05 7.777293e-05 2.119530e-04 3.996083e-04 6.121583e-04
#>  [15,]    0 9.041579e-06 5.948157e-05 1.627575e-04 3.086923e-04 4.765342e-04
#>  [16,]    0 6.933922e-06 4.572510e-05 1.256421e-04 2.396841e-04 3.726930e-04
#>  [17,]    0 5.339519e-06 3.530901e-05 9.743704e-05 1.869257e-04 2.926495e-04
#>  [18,]    0 4.127013e-06 2.737423e-05 7.586613e-05 1.463363e-04 2.305883e-04
#>  [19,]    0 3.200441e-06 2.129678e-05 5.927597e-05 1.149371e-04 1.822238e-04
#>  [20,]    0 2.489222e-06 1.661929e-05 4.645307e-05 9.052990e-05 1.443654e-04
#>  [21,]    0 1.941096e-06 1.300368e-05 3.649853e-05 7.147764e-05 1.146159e-04
#>  [22,]    0 1.517119e-06 1.019809e-05 2.874087e-05 5.655040e-05 9.115936e-05
#>  [23,]    0 1.188092e-06 8.013618e-06 2.267473e-05 4.481729e-05 7.261028e-05
#>  [24,]    0 9.319999e-07 6.307600e-06 1.791714e-05 3.556886e-05 5.790467e-05
#>  [25,]    0 7.321539e-07 4.971697e-06 1.417614e-05 2.826117e-05 4.622065e-05
#>  [26,]    0 5.758400e-07 3.923179e-06 1.122787e-05 2.247487e-05 3.692010e-05
#>  [27,]    0 4.533281e-07 3.098560e-06 8.899848e-06 1.788502e-05 2.950518e-05
#>  [28,]    0 3.571403e-07 2.448905e-06 7.058558e-06 1.423878e-05 2.358594e-05
#>  [29,]    0 2.815072e-07 1.936340e-06 5.600232e-06 1.133857e-05 1.885574e-05
#>  [30,]    0 2.219615e-07 1.531444e-06 4.443918e-06 9.029468e-06 1.507266e-05
#>  [31,]    0 1.750332e-07 1.211288e-06 3.526254e-06 7.189596e-06 1.204526e-05
#>  [32,]    0 1.380185e-07 9.579437e-07 2.797499e-06 5.722806e-06 9.621658e-06
#>  [33,]    0 1.088058e-07 7.573592e-07 2.218499e-06 4.553049e-06 7.681050e-06
#>  [34,]    0 8.574103e-08 5.984923e-07 1.758362e-06 3.620038e-06 6.127176e-06
#>  [35,]    0 6.752662e-08 4.726475e-07 1.392661e-06 2.875890e-06 4.883178e-06
#>  [36,]    0 5.314216e-08 3.729644e-07 1.102050e-06 2.282507e-06 3.887606e-06
#>  [37,]    0 4.178409e-08 2.940214e-07 8.711793e-07 1.809530e-06 3.091255e-06
#>  [38,]    0 3.281866e-08 2.315278e-07 6.878539e-07 1.432741e-06 2.454691e-06
#>  [39,]    0 2.574542e-08 1.820839e-07 5.423758e-07 1.132797e-06 1.946277e-06
#>  [40,]    0 2.016877e-08 1.429936e-07 4.270247e-07 8.942388e-07 1.540618e-06
#>  [41,]    0 1.577578e-08 1.121166e-07 3.356505e-07 7.047038e-07 1.217317e-06
#>  [42,]    0 1.231869e-08 8.775322e-08 2.633515e-07 5.543005e-07 9.599903e-07
#>  [43,]    0 9.601325e-09 6.855311e-08 2.062198e-07 4.351137e-07 7.554726e-07
#>  [44,]    0 7.468270e-09 5.344316e-08 1.611395e-07 3.408092e-07 5.931890e-07
#>  [45,]    0 5.796411e-09 4.157065e-08 1.256264e-07 2.663187e-07 4.646460e-07
#>  [46,]    0 4.488232e-09 3.225809e-08 9.770002e-08 2.075884e-07 3.630250e-07
#>  [47,]    0 3.466518e-09 2.496740e-08 7.578269e-08 1.613776e-07 2.828556e-07
#>  [48,]    0 2.670155e-09 1.927144e-08 5.861803e-08 1.250970e-07 2.197521e-07
#>  [49,]    0 2.050807e-09 1.483140e-08 4.520642e-08 9.668018e-08 1.702023e-07
#>  [50,]    0 1.570277e-09 1.137879e-08 3.475328e-08 7.447909e-08 1.313961e-07
#>  [51,]    0 1.198410e-09 8.701029e-09 2.662774e-08 5.718137e-08 1.010885e-07
#>  [52,]    0 9.114310e-10 6.630070e-09 2.032956e-08 4.374326e-08 7.748863e-08
#>  [53,]    0 6.906191e-10 5.033224e-09 1.546270e-08 3.333600e-08 5.916989e-08
#>  [54,]    0 5.212583e-10 3.805912e-09 1.171415e-08 2.530268e-08 4.499827e-08
#>  [55,]    0 3.918008e-10 2.865857e-09 8.836978e-09 1.912363e-08 3.407407e-08
#>  [56,]    0 2.932032e-10 2.148458e-09 6.636793e-09 1.438864e-08 2.568508e-08
#>  [57,]    0 2.183989e-10 1.603112e-09 4.960924e-09 1.077465e-08 1.926884e-08
#>  [58,]    0 1.618793e-10 1.190273e-09 3.689762e-09 8.027928e-09 1.438240e-08
#>  [59,]    0 1.193617e-10 8.791216e-10 2.729859e-09 5.949703e-09 1.067784e-08
#>  [60,]    0 8.752598e-11 6.457095e-10 2.008420e-09 4.384759e-09 7.882787e-09
#>  [61,]    0 6.380641e-11 4.714857e-10 1.468924e-09 3.212278e-09 5.784674e-09
#>  [62,]    0 4.622683e-11 3.421295e-10 1.067634e-09 2.338545e-09 4.218226e-09
#>  [63,]    0 3.327076e-11 2.466266e-10 7.708336e-10 1.691146e-09 3.055417e-09
#>  [64,]    0 2.377904e-11 1.765392e-10 5.526362e-10 1.214353e-09 2.197489e-09
#>  [65,]    0 1.686941e-11 1.254312e-10 3.932510e-10 8.654633e-10 1.568595e-09
#>  [66,]    0 1.187340e-11 8.841570e-11 2.776188e-10 6.119128e-10 1.110760e-09
#>  [67,]    0 8.287038e-12 6.180047e-11 1.943372e-10 4.289903e-10 7.798939e-10
#>  [68,]    0 5.732347e-12 4.281080e-11 1.348192e-10 2.980463e-10 5.426477e-10
#>  [69,]    0 3.927476e-12 2.937333e-11 9.263522e-11 2.050870e-10 3.739451e-10
#>  [70,]    0 2.663529e-12 1.994834e-11 6.300057e-11 1.396775e-10 2.550477e-10
#>  [71,]    0 1.786702e-12 1.339991e-11 4.237845e-11 9.408869e-11 1.720472e-10
#>  [72,]    0 1.184552e-12 8.896023e-12 2.817315e-11 6.263668e-11 1.146950e-10
#>  [73,]    0 7.755068e-13 5.831906e-12 1.849429e-11 4.117397e-11 7.549784e-11
#>  [74,]    0 5.008725e-13 3.771613e-12 1.197659e-11 2.669939e-11 4.902302e-11
#>  [75,]    0 3.187965e-13 2.403700e-12 7.642881e-12 1.706081e-11 3.136726e-11
#>  [76,]    0 1.997216e-13 1.507825e-12 4.800543e-12 1.072998e-11 1.975357e-11
#>  [77,]    0 1.229928e-13 9.297301e-13 2.963814e-12 6.633116e-12 1.222715e-11
#>  [78,]    0 7.433973e-14 5.626551e-13 1.795905e-12 4.024391e-12 7.427816e-12
#>  [79,]    0 4.402573e-14 3.336297e-13 1.066216e-12 2.392239e-12 4.420902e-12
#>  [80,]    0 2.549710e-14 1.934544e-13 6.190015e-13 1.390548e-12 2.572942e-12
#>  [81,]    0 1.440804e-14 1.094500e-13 3.506341e-13 7.886353e-13 1.461001e-12
#>  [82,]    0 7.923773e-15 6.026413e-14 1.932929e-13 4.352700e-13 8.073391e-13
#>  [83,]    0 4.228384e-15 3.219668e-14 1.033903e-13 2.330969e-13 4.328624e-13
#>  [84,]    0 2.181789e-15 1.663232e-14 5.347205e-14 1.206954e-13 2.243951e-13
#>  [85,]    0 1.084057e-15 8.273498e-15 2.662945e-14 6.017650e-14 1.120087e-13
#>  [86,]    0 5.161189e-16 3.943465e-15 1.270702e-14 2.874769e-14 5.357030e-14
#>  [87,]    0 2.340566e-16 1.790335e-15 5.775464e-15 1.308080e-14 2.440311e-14
#>  [88,]    0 1.003703e-16 7.685964e-16 2.482172e-15 5.628096e-15 1.051129e-14
#>  [89,]    0 4.033523e-17 3.092085e-16 9.996779e-16 2.269166e-15 4.242660e-15
#>  [90,]    0 1.501813e-17 1.152528e-16 3.730178e-16 8.476301e-16 1.586537e-15
#>  [91,]    0 5.105547e-18 3.922300e-17 1.270817e-16 2.890847e-16 5.416703e-16
#>  [92,]    0 1.554509e-18 1.195500e-17 3.877491e-17 8.829830e-17 1.656239e-16
#>  [93,]    0 4.129840e-19 3.179381e-18 1.032280e-17 2.353170e-17 4.418542e-17
#>  [94,]    0 9.229358e-20 7.112606e-19 2.311703e-18 5.275179e-18 9.915459e-18
#>  [95,]    0 1.644507e-20 1.268633e-19 4.127460e-19 9.428276e-19 1.773996e-18
#>  [96,]    0 2.150045e-21 1.660299e-20 5.407193e-20 1.236404e-19 2.328737e-19
#>  [97,]    0 1.794598e-22 1.387201e-21 4.522298e-21 1.035100e-20 1.951538e-20
#>  [98,]    0 7.367034e-24 5.700252e-23 1.860130e-22 4.261828e-22 8.043050e-22
#>  [99,]    0 8.280562e-26 6.413364e-25 2.094884e-24 4.804385e-24 9.075863e-24
#> [100,]    0 3.932041e-29 3.048348e-28 9.966876e-28 2.288008e-27 4.326417e-27
#> [101,]    0 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#>                [,7]         [,8]         [,9]        [,10]        [,11]
#>   [1,] 4.981483e-02 2.814196e-02 1.106142e-02 3.267863e-03 7.647174e-04
#>   [2,] 3.271303e-02 2.456446e-02 1.497165e-02 7.694206e-03 3.426826e-03
#>   [3,] 2.147006e-02 1.852265e-02 1.366596e-02 8.864832e-03 5.158132e-03
#>   [4,] 1.457461e-02 1.367742e-02 1.127449e-02 8.353202e-03 5.655426e-03
#>   [5,] 1.019778e-02 1.013755e-02 8.996899e-03 7.274952e-03 5.438557e-03
#>   [6,] 7.311507e-03 7.584666e-03 7.100629e-03 6.112715e-03 4.904005e-03
#>   [7,] 5.345326e-03 5.732277e-03 5.590352e-03 5.046569e-03 4.270128e-03
#>   [8,] 3.969846e-03 4.373293e-03 4.406192e-03 4.129587e-03 3.643579e-03
#>   [9,] 2.986463e-03 3.364576e-03 3.481789e-03 3.364454e-03 3.070957e-03
#>  [10,] 2.270697e-03 2.607562e-03 2.759813e-03 2.735699e-03 2.568454e-03
#>  [11,] 1.741893e-03 2.033770e-03 2.194453e-03 2.223023e-03 2.137580e-03
#>  [12,] 1.346284e-03 1.595001e-03 1.750182e-03 1.806578e-03 1.773245e-03
#>  [13,] 1.047157e-03 1.256865e-03 1.399745e-03 1.468831e-03 1.467850e-03
#>  [14,] 8.189171e-04 9.944974e-04 1.122292e-03 1.194996e-03 1.213280e-03
#>  [15,] 6.433993e-04 7.896979e-04 9.018438e-04 9.728935e-04 1.001839e-03
#>  [16,] 5.075108e-04 6.289931e-04 7.261149e-04 7.926103e-04 8.266306e-04
#>  [17,] 4.016862e-04 5.023072e-04 5.856156e-04 6.461332e-04 6.816693e-04
#>  [18,] 3.188535e-04 4.020351e-04 4.729815e-04 5.270024e-04 5.618537e-04
#>  [19,] 2.537293e-04 3.223886e-04 3.824702e-04 4.300159e-04 4.628885e-04
#>  [20,] 2.023296e-04 2.589299e-04 3.095830e-04 3.509840e-04 3.811831e-04
#>  [21,] 1.616257e-04 2.082331e-04 2.507799e-04 2.865286e-04 3.137503e-04
#>  [22,] 1.292976e-04 1.676375e-04 2.032637e-04 2.339232e-04 2.581126e-04
#>  [23,] 1.035570e-04 1.350656e-04 1.648159e-04 1.909632e-04 2.122192e-04
#>  [24,] 8.301706e-05 1.088870e-04 1.336705e-04 1.558633e-04 1.743739e-04
#>  [25,] 6.659680e-05 8.781689e-05 1.084171e-04 1.271754e-04 1.431754e-04
#>  [26,] 5.344951e-05 7.083834e-05 8.792602e-05 1.037231e-04 1.174657e-04
#>  [27,] 4.290927e-05 5.714393e-05 7.129022e-05 8.454931e-05 9.628844e-05
#>  [28,] 3.445034e-05 4.609035e-05 5.777935e-05 6.887414e-05 7.885334e-05
#>  [29,] 2.765624e-05 3.716365e-05 4.680423e-05 5.606140e-05 6.450759e-05
#>  [30,] 2.219607e-05 2.995218e-05 3.788859e-05 4.559149e-05 5.271170e-05
#>  [31,] 1.780623e-05 2.412545e-05 3.064683e-05 3.703963e-05 4.301983e-05
#>  [32,] 1.427619e-05 1.941767e-05 2.476625e-05 3.005824e-05 3.506345e-05
#>  [33,] 1.143750e-05 1.561465e-05 1.999296e-05 2.436272e-05 2.853798e-05
#>  [34,] 9.155122e-06 1.254356e-05 1.612062e-05 1.971987e-05 2.319166e-05
#>  [35,] 7.320630e-06 1.006478e-05 1.298134e-05 1.593858e-05 1.881642e-05
#>  [36,] 5.846851e-06 8.065366e-06 1.043845e-05 1.286212e-05 1.524032e-05
#>  [37,] 4.663621e-06 6.453897e-06 8.380648e-06 1.036198e-05 1.232132e-05
#>  [38,] 3.714421e-06 5.156324e-06 6.717213e-06 8.332777e-06 9.942151e-06
#>  [39,] 2.953688e-06 4.112636e-06 5.374222e-06 6.688080e-06 8.005991e-06
#>  [40,] 2.344674e-06 3.274188e-06 4.291422e-06 5.357045e-06 6.432980e-06
#>  [41,] 1.857732e-06 2.601541e-06 3.419708e-06 4.281611e-06 5.157282e-06
#>  [42,] 1.468938e-06 2.062724e-06 2.719075e-06 3.414223e-06 4.124663e-06
#>  [43,] 1.158992e-06 1.631825e-06 2.156941e-06 2.715954e-06 3.290491e-06
#>  [44,] 9.123248e-07 1.287849e-06 1.706787e-06 2.154965e-06 2.618071e-06
#>  [45,] 7.163807e-07 1.013796e-06 1.347044e-06 1.705236e-06 2.077265e-06
#>  [46,] 5.610425e-07 7.959103e-07 1.060183e-06 1.345527e-06 1.643355e-06
#>  [47,] 4.381623e-07 6.230702e-07 8.319735e-07 1.058518e-06 1.296094e-06
#>  [48,] 3.411844e-07 4.862930e-07 6.508757e-07 8.301085e-07 1.018921e-06
#>  [49,] 2.648398e-07 3.783323e-07 5.075446e-07 6.488297e-07 7.983162e-07
#>  [50,] 2.048986e-07 2.933502e-07 3.944231e-07 5.053726e-07 6.232560e-07
#>  [51,] 1.579703e-07 2.266505e-07 3.054101e-07 3.921934e-07 4.847735e-07
#>  [52,] 1.213409e-07 1.744618e-07 2.355888e-07 3.031899e-07 3.755881e-07
#>  [53,] 9.284222e-08 1.337609e-07 1.810043e-07 2.334367e-07 2.898016e-07
#>  [54,] 7.074518e-08 1.021294e-07 1.384825e-07 1.789670e-07 2.226466e-07
#>  [55,] 5.367386e-08 7.763684e-08 1.054814e-07 1.365937e-07 1.702799e-07
#>  [56,] 4.053588e-08 5.874581e-08 7.997042e-08 1.037626e-07 1.296111e-07
#>  [57,] 3.046613e-08 4.423531e-08 6.033197e-08 7.843256e-08 9.816266e-08
#>  [58,] 2.278135e-08 3.313818e-08 4.528091e-08 5.897702e-08 7.395408e-08
#>  [59,] 1.694347e-08 2.469064e-08 3.379948e-08 4.410408e-08 5.540756e-08
#>  [60,] 1.253009e-08 1.829150e-08 2.508427e-08 3.279097e-08 4.127033e-08
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#>               [,12]        [,13]        [,14]        [,15]        [,16]
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#>               [,27]        [,28]        [,29]        [,30]        [,31]
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#>  [75,] 8.884939e-10 8.457039e-10 8.028591e-10 7.601462e-10 7.177419e-10
#>  [76,] 6.044342e-10 5.763103e-10 5.480551e-10 5.197951e-10 4.916508e-10
#>  [77,] 4.035035e-10 3.853710e-10 3.670915e-10 3.487489e-10 3.304237e-10
#>  [78,] 2.639486e-10 2.524974e-10 2.409135e-10 2.292510e-10 2.175626e-10
#>  [79,] 1.689067e-10 1.618351e-10 1.546563e-10 1.474048e-10 1.401138e-10
#>  [80,] 1.055378e-10 1.012756e-10 9.693341e-11 9.253231e-11 8.809298e-11
#>  [81,] 6.424757e-11 6.174588e-11 5.918796e-11 5.658646e-11 5.395379e-11
#>  [82,] 3.800992e-11 3.658362e-11 3.511986e-11 3.362598e-11 3.210921e-11
#>  [83,] 2.178972e-11 2.100219e-11 2.019091e-11 1.936000e-11 1.851353e-11
#>  [84,] 1.206204e-11 1.164239e-11 1.120840e-11 1.076230e-11 1.030631e-11
#>  [85,] 6.421377e-12 6.206453e-12 5.983300e-12 5.753072e-12 5.516924e-12
#>  [86,] 3.271517e-12 3.166245e-12 3.056494e-12 2.942835e-12 2.825844e-12
#>  [87,] 1.585680e-12 1.536659e-12 1.485337e-12 1.431980e-12 1.376862e-12
#>  [88,] 7.259114e-13 7.043680e-13 6.817137e-13 6.580677e-13 6.335513e-13
#>  [89,] 3.110645e-13 3.022093e-13 2.928550e-13 2.830511e-13 2.728482e-13
#>  [90,] 1.233641e-13 1.199983e-13 1.164261e-13 1.126662e-13 1.087383e-13
#>  [91,] 4.462261e-14 4.345690e-14 4.221360e-14 4.089925e-14 3.952068e-14
#>  [92,] 1.444085e-14 1.408000e-14 1.369315e-14 1.328233e-14 1.284967e-14
#>  [93,] 4.073618e-15 3.976356e-15 3.871521e-15 3.759665e-15 3.641365e-15
#>  [94,] 9.656925e-16 9.436876e-16 9.198345e-16 8.942581e-16 8.670904e-16
#>  [95,] 1.823511e-16 1.783906e-16 1.740716e-16 1.694168e-16 1.644499e-16
#>  [96,] 2.524193e-17 2.472009e-17 2.414742e-17 2.352687e-17 2.286161e-17
#>  [97,] 2.228704e-18 2.184914e-18 2.136533e-18 2.083810e-18 2.027013e-18
#>  [98,] 9.669565e-20 9.489291e-20 9.288687e-20 9.068770e-20 8.830645e-20
#>  [99,] 1.147711e-21 1.127444e-21 1.104718e-21 1.079647e-21 1.052355e-21
#> [100,] 5.750269e-25 5.654285e-25 5.545762e-25 5.425236e-25 5.293298e-25
#> [101,] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
#>               [,62]        [,63]         [,64]         [,65]         [,66]
#>   [1,] 2.024203e-94 1.642240e-97 1.089850e-100 5.853533e-104 2.515166e-107
#>   [2,] 2.079436e-53 6.465797e-55  1.892497e-56  5.204366e-58  1.341988e-59
#>   [3,] 6.538130e-39 5.800681e-40  4.960554e-41  4.084931e-42  3.235870e-43
#>   [4,] 4.429510e-31 6.720963e-32  9.927426e-33  1.426561e-33  1.992923e-34
#>   [5,] 4.255141e-26 9.019130e-27  1.871231e-27  3.798326e-28  7.539339e-29
#>   [6,] 1.260461e-22 3.366162e-23  8.830279e-24  2.274468e-24  5.750034e-25
#>   [7,] 4.621183e-20 1.463564e-20  4.564195e-21  1.401105e-21  4.232332e-22
#>   [8,] 4.341381e-18 1.568367e-18  5.589140e-19  1.964260e-19  6.805800e-20
#>   [9,] 1.592076e-16 6.388351e-17  2.532182e-17  9.912335e-18  3.831038e-18
#>  [10,] 2.960614e-15 1.294570e-15  5.597974e-16  2.393329e-16  1.011431e-16
#>  [11,] 3.314815e-14 1.557257e-14  7.241262e-15  3.332229e-15  1.517145e-15
#>  [12,] 2.513587e-13 1.254975e-13  6.206621e-14  3.040006e-14  1.474366e-14
#>  [13,] 1.403241e-12 7.382720e-13  3.849948e-13  1.989635e-13  1.018804e-13
#>  [14,] 6.129644e-12 3.375252e-12  1.843178e-12  9.980430e-13  5.357660e-13
#>  [15,] 2.192760e-11 1.256740e-11  7.146521e-12  4.031557e-12  2.255835e-12
#>  [16,] 6.651294e-11 3.949680e-11  2.328044e-11  1.361857e-11  7.905218e-12
#>  [17,] 1.757595e-10 1.077260e-10  6.556220e-11  3.961486e-11  2.376119e-11
#>  [18,] 4.133258e-10 2.606410e-10  1.632543e-10  1.015548e-10  6.273165e-11
#>  [19,] 8.799109e-10 5.693064e-10  3.659740e-10  2.337200e-10  1.482592e-10
#>  [20,] 1.719324e-09 1.138670e-09  7.494587e-10  4.901774e-10  3.185338e-10
#>  [21,] 3.118609e-09 2.109826e-09  1.418873e-09  9.484175e-10  6.300244e-10
#>  [22,] 5.300376e-09 3.656481e-09  2.507977e-09  1.710161e-09  1.159170e-09
#>  [23,] 8.507029e-09 5.974832e-09  4.173124e-09  2.898247e-09  2.001212e-09
#>  [24,] 1.297826e-08 9.267343e-09  6.582012e-09  4.649205e-09  3.265590e-09
#>  [25,] 1.892462e-08 1.372220e-08  9.898193e-09  7.101925e-09  5.067945e-09
#>  [26,] 2.650071e-08 1.949112e-08  1.426318e-08  1.038365e-08  7.519453e-09
#>  [27,] 3.578171e-08 2.666842e-08  1.977852e-08  1.459503e-08  1.071471e-08
#>  [28,] 4.674642e-08 3.527429e-08  2.649014e-08  1.979616e-08  1.471969e-08
#>  [29,] 5.926879e-08 4.524432e-08  3.437711e-08  2.599546e-08  1.956137e-08
#>  [30,] 7.311897e-08 5.642644e-08  4.334612e-08  3.314280e-08  2.522031e-08
#>  [31,] 8.797340e-08 6.858570e-08  5.323231e-08  4.112759e-08  3.162707e-08
#>  [32,] 1.034327e-07 8.141602e-08  6.380620e-08  4.978218e-08  3.866296e-08
#>  [33,] 1.190452e-07 9.455751e-08  7.478594e-08  5.888992e-08  4.616487e-08
#>  [34,] 1.343337e-07 1.076177e-07  8.585348e-08  6.819710e-08  5.393374e-08
#>  [35,] 1.488232e-07 1.201941e-07  9.667302e-08  7.742751e-08  6.174567e-08
#>  [36,] 1.620666e-07 1.318971e-07  1.069101e-07  8.629821e-08  6.936470e-08
#>  [37,] 1.736677e-07 1.423704e-07  1.162496e-07  9.453517e-08  7.655599e-08
#>  [38,] 1.832990e-07 1.513079e-07  1.244121e-07  1.018877e-07  8.309851e-08
#>  [39,] 1.907145e-07 1.584674e-07  1.311661e-07  1.081405e-07  8.879615e-08
#>  [40,] 1.957562e-07 1.636780e-07  1.363375e-07  1.131229e-07  9.348672e-08
#>  [41,] 1.983560e-07 1.668445e-07  1.398146e-07  1.167149e-07  9.704843e-08
#>  [42,] 1.985318e-07 1.679464e-07  1.415491e-07  1.188500e-07  9.940349e-08
#>  [43,] 1.963801e-07 1.670327e-07  1.415541e-07  1.195143e-07  1.005191e-07
#>  [44,] 1.920652e-07 1.642152e-07  1.398989e-07  1.187439e-07  1.004061e-07
#>  [45,] 1.858067e-07 1.596576e-07  1.367013e-07  1.166194e-07  9.911501e-08
#>  [46,] 1.778650e-07 1.535648e-07  1.321191e-07  1.132588e-07  9.673116e-08
#>  [47,] 1.685277e-07 1.461708e-07  1.263394e-07  1.088093e-07  9.336811e-08
#>  [48,] 1.580959e-07 1.377265e-07  1.195691e-07  1.034393e-07  8.916062e-08
#>  [49,] 1.468715e-07 1.284892e-07  1.120250e-07  9.732932e-08  8.425741e-08
#>  [50,] 1.351465e-07 1.187121e-07  1.039247e-07  9.066432e-08  7.881415e-08
#>  [51,] 1.231943e-07 1.086362e-07  9.547842e-08  8.362642e-08  7.298695e-08
#>  [52,] 1.112623e-07 9.848317e-08  8.688315e-08  7.638874e-08  6.692669e-08
#>  [53,] 9.956711e-08 8.845044e-08  7.831692e-08  6.911041e-08  6.077425e-08
#>  [54,] 8.829173e-08 7.870772e-08  6.993546e-08  6.193287e-08  5.465686e-08
#>  [55,] 7.758413e-08 6.939519e-08  6.186990e-08  5.497737e-08  4.868543e-08
#>  [56,] 6.755756e-08 6.062314e-08  5.422589e-08  4.834366e-08  4.295298e-08
#>  [57,] 5.829211e-08 5.247272e-08  4.708373e-08  4.210973e-08  3.753398e-08
#>  [58,] 4.983725e-08 4.499776e-08  4.049957e-08  3.633235e-08  3.248451e-08
#>  [59,] 4.221504e-08 3.822726e-08  3.450726e-08  3.104845e-08  2.784313e-08
#>  [60,] 3.542390e-08 3.216841e-08  2.912073e-08  2.627698e-08  2.363227e-08
#>  [61,] 2.944251e-08 2.680991e-08  2.433678e-08  2.202111e-08  1.986003e-08
#>  [62,] 2.423379e-08 2.212540e-08  2.013796e-08  1.827072e-08  1.652220e-08
#>  [63,] 1.974876e-08 1.807683e-08  1.649554e-08  1.500492e-08  1.360441e-08
#>  [64,] 1.593007e-08 1.461768e-08  1.337234e-08  1.219456e-08  1.108435e-08
#>  [65,] 1.271528e-08 1.169584e-08  1.072536e-08  9.804557e-09  8.933800e-09
#>  [66,] 1.003959e-08 9.256252e-09  8.508142e-09  7.796075e-09  7.120581e-09
#>  [67,] 7.838281e-09 7.243071e-09  6.672843e-09  6.128390e-09  5.610294e-09
#>  [68,] 6.048536e-09 5.601522e-09  5.171939e-09  4.760509e-09  4.367798e-09
#>  [69,] 4.610953e-09 4.279298e-09  3.959596e-09  3.652473e-09  3.358438e-09
#>  [70,] 3.470580e-09 3.227626e-09  2.992717e-09  2.766372e-09  2.549028e-09
#>  [71,] 2.577594e-09 2.401980e-09  2.231671e-09  2.067082e-09  1.908573e-09
#>  [72,] 1.887667e-09 1.762501e-09  1.640753e-09  1.522750e-09  1.408775e-09
#>  [73,] 1.362053e-09 1.274159e-09  1.188412e-09  1.105060e-09  1.024322e-09
#>  [74,] 9.674708e-10 9.067139e-10  8.472673e-10  7.893136e-10  7.330174e-10
#>  [75,] 6.758120e-10 6.345112e-10  5.939831e-10  5.543594e-10  5.157601e-10
#>  [76,] 4.637363e-10 4.361588e-10  4.090184e-10  3.824079e-10  3.564128e-10
#>  [77,] 3.121924e-10 2.941276e-10  2.762975e-10  2.587659e-10  2.415921e-10
#>  [78,] 2.058984e-10 1.943063e-10  1.828317e-10  1.715173e-10  1.604031e-10
#>  [79,] 1.328154e-10 1.255406e-10  1.183187e-10  1.111775e-10  1.041435e-10
#>  [80,] 8.363541e-11 7.917893e-11  7.474206e-11  7.034248e-11  6.599697e-11
#>  [81,] 5.130207e-11 4.864304e-11  4.598803e-11  4.334795e-11  4.073319e-11
#>  [82,] 3.057665e-11 2.903523e-11  2.749168e-11  2.595249e-11  2.442391e-11
#>  [83,] 1.765554e-11 1.678997e-11  1.592067e-11  1.505139e-11  1.418575e-11
#>  [84,] 9.842623e-12 9.373408e-12  8.900794e-12  8.426858e-12  7.953622e-12
#>  [85,] 5.276010e-12 5.031472e-12  4.784436e-12  4.536010e-12  4.287275e-12
#>  [86,] 2.706097e-12 2.584170e-12  2.460631e-12  2.336045e-12  2.210963e-12
#>  [87,] 1.320256e-12 1.262438e-12  1.203680e-12  1.144255e-12  1.084431e-12
#>  [88,] 6.082874e-13 5.823997e-13  5.560120e-13  5.292480e-13  5.022300e-13
#>  [89,] 2.622976e-13 2.514514e-13  2.403619e-13  2.290818e-13  2.176632e-13
#>  [90,] 1.046620e-13 1.004578e-13  9.614596e-14  9.174719e-14  8.728212e-14
#>  [91,] 3.808488e-14 3.659901e-14  3.507035e-14  3.350627e-14  3.191420e-14
#>  [92,] 1.239737e-14 1.192770e-14  1.144297e-14  1.094554e-14  1.043778e-14
#>  [93,] 3.517224e-15 3.387865e-15  3.253928e-15  3.116066e-15  2.974944e-15
#>  [94,] 8.384696e-16 8.085393e-16  7.774480e-16  7.453480e-16  7.123952e-16
#>  [95,] 1.591963e-16 1.536823e-16  1.479352e-16  1.419833e-16  1.358556e-16
#>  [96,] 2.215502e-17 2.141062e-17  2.063212e-17  1.982335e-17  1.898826e-17
#>  [97,] 1.966426e-18 1.902352e-18  1.835110e-18  1.765030e-18  1.692458e-18
#>  [98,] 8.575502e-20 8.304611e-20  8.019312e-20  7.721012e-20  7.411176e-20
#>  [99,] 1.022977e-21 9.916593e-22  9.585556e-22  9.238290e-22  8.876503e-22
#> [100,] 5.150596e-25 4.997830e-25  4.835751e-25  4.665154e-25  4.486877e-25
#> [101,] 0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
#>                [,67]         [,68]         [,69]         [,70]         [,71]
#>   [1,] 8.537755e-111 2.258312e-114 4.585268e-118 7.029667e-122 7.991591e-126
#>   [2,]  3.237784e-61  7.292422e-63  1.529529e-64  2.979661e-66  5.376227e-68
#>   [3,]  2.463008e-44  1.799252e-45  1.259839e-46  8.443840e-48  5.409136e-49
#>   [4,]  2.704667e-35  3.562973e-36  4.552112e-37  5.635248e-38  6.752737e-39
#>   [5,]  1.462537e-29  2.771094e-30  5.124876e-31  9.244823e-32  1.625428e-32
#>   [6,]  1.426101e-25  3.468233e-26  8.266395e-27  1.929865e-27  4.410354e-28
#>   [7,]  1.257555e-22  3.673965e-23  1.054900e-23  2.975409e-24  8.239773e-25
#>   [8,]  2.324039e-20  7.818751e-21  2.590562e-21  8.449508e-22  2.711765e-22
#>   [9,]  1.461472e-18  5.501254e-19  2.042589e-19  7.478018e-20  2.698374e-20
#>  [10,]  4.223952e-17  1.742719e-17  7.101117e-18  2.856737e-18  1.134222e-18
#>  [11,]  6.832623e-16  3.043007e-16  1.339831e-16  5.830345e-17  2.506618e-17
#>  [12,]  7.078680e-15  3.363647e-15  1.581486e-15  7.355154e-16  3.382617e-16
#>  [13,]  5.167934e-14  2.596299e-14  1.291507e-14  6.359539e-15  3.098937e-15
#>  [14,]  2.850763e-13  1.503193e-13  7.852993e-14  4.063604e-14  2.082196e-14
#>  [15,]  1.251753e-12  6.886829e-13  3.755893e-13  2.029995e-13  1.087048e-13
#>  [16,]  4.552630e-12  2.600719e-12  1.473382e-12  8.276133e-13  4.608064e-13
#>  [17,]  1.414527e-11  8.356163e-12  4.897419e-12  2.847051e-12  1.641286e-12
#>  [18,]  3.847279e-11  2.342202e-11  1.415186e-11  8.484527e-12  5.046190e-12
#>  [19,]  9.340286e-11  5.843011e-11  3.628850e-11  2.237003e-11  1.368450e-11
#>  [20,]  2.056311e-10  1.318502e-10  8.395601e-11  5.307786e-11  3.330952e-11
#>  [21,]  4.158657e-10  2.727197e-10  1.776518e-10  1.149282e-10  7.382309e-11
#>  [22,]  7.808944e-10  5.227614e-10  3.477001e-10  2.297271e-10  1.507416e-10
#>  [23,]  1.373643e-09  9.371527e-10  6.353722e-10  4.280013e-10  2.863981e-10
#>  [24,]  2.280594e-09  1.583331e-09  1.092598e-09  7.492601e-10  5.105043e-10
#>  [25,]  3.596373e-09  2.537524e-09  1.779903e-09  1.240920e-09  8.597351e-10
#>  [26,]  5.415857e-09  3.879086e-09  2.762500e-09  1.955725e-09  1.376129e-09
#>  [27,]  7.824612e-09  5.683161e-09  4.104802e-09  2.947761e-09  2.104287e-09
#>  [28,]  1.088883e-08  8.012476e-09  5.863904e-09  4.267419e-09  3.087575e-09
#>  [29,]  1.464601e-08  1.090929e-08  8.082826e-09  5.955854e-09  4.363704e-09
#>  [30,]  1.909763e-08  1.438852e-08  1.078432e-08  8.039621e-09  5.960205e-09
#>  [31,]  2.420464e-08  1.843285e-08  1.396605e-08  1.052613e-08  7.890337e-09
#>  [32,]  2.988637e-08  2.299051e-08  1.759769e-08  1.340051e-08  1.014994e-08
#>  [33,]  3.602294e-08  2.797593e-08  2.162034e-08  1.662419e-08  1.271562e-08
#>  [34,]  4.246091e-08  3.327314e-08  2.594831e-08  2.013553e-08  1.554445e-08
#>  [35,]  4.902152e-08  3.874165e-08  3.047305e-08  2.385221e-08  1.857532e-08
#>  [36,]  5.551073e-08  4.422416e-08  3.506890e-08  2.767537e-08  2.173172e-08
#>  [37,]  6.173016e-08  4.955537e-08  3.960002e-08  3.149492e-08  2.492568e-08
#>  [38,]  6.748791e-08  5.457113e-08  4.392792e-08  3.519561e-08  2.806259e-08
#>  [39,]  7.260862e-08  5.911720e-08  4.791901e-08  3.866338e-08  3.104642e-08
#>  [40,]  7.694193e-08  6.305702e-08  5.145150e-08  4.179140e-08  3.378485e-08
#>  [41,]  8.036894e-08  6.627798e-08  5.442132e-08  4.448542e-08  3.619407e-08
#>  [42,]  8.280649e-08  6.869597e-08  5.674659e-08  4.666813e-08  3.820283e-08
#>  [43,]  8.420913e-08  7.025791e-08  5.837065e-08  4.828228e-08  3.975553e-08
#>  [44,]  8.456883e-08  7.094248e-08  5.926333e-08  4.929244e-08  4.081425e-08
#>  [45,]  8.391283e-08  7.075908e-08  5.942086e-08  4.968549e-08  4.135969e-08
#>  [46,]  8.229988e-08  6.974530e-08  5.886427e-08  4.946988e-08  4.139094e-08
#>  [47,]  7.981531e-08  6.796319e-08  5.763676e-08  4.867376e-08  4.092447e-08
#>  [48,]  7.656525e-08  6.549474e-08  5.580017e-08  4.734243e-08  3.999215e-08
#>  [49,]  7.267062e-08  6.243683e-08  5.343092e-08  4.553504e-08  3.863880e-08
#>  [50,]  6.826100e-08  5.889613e-08  5.061568e-08  4.332109e-08  3.691927e-08
#>  [51,]  6.346893e-08  5.498400e-08  4.744708e-08  4.077672e-08  3.489543e-08
#>  [52,]  5.842468e-08  5.081191e-08  4.401955e-08  3.798118e-08  3.263306e-08
#>  [53,]  5.325188e-08  4.648733e-08  4.042569e-08  3.501349e-08  3.019899e-08
#>  [54,]  4.806388e-08  4.211035e-08  3.675308e-08  3.194960e-08  2.765845e-08
#>  [55,]  4.296112e-08  3.777105e-08  3.308174e-08  2.885995e-08  2.507290e-08
#>  [56,]  3.802935e-08  3.354762e-08  2.948226e-08  2.580763e-08  2.249821e-08
#>  [57,]  3.333868e-08  2.950525e-08  2.601454e-08  2.284711e-08  1.998338e-08
#>  [58,]  2.894343e-08  2.569568e-08  2.272718e-08  2.002344e-08  1.756967e-08
#>  [59,]  2.488260e-08  2.215739e-08  1.965739e-08  1.737199e-08  1.529023e-08
#>  [60,]  2.118086e-08  1.891625e-08  1.683136e-08  1.491861e-08  1.317003e-08
#>  [61,]  1.784993e-08  1.598655e-08  1.426505e-08  1.268017e-08  1.122623e-08
#>  [62,]  1.489030e-08  1.337235e-08  1.196521e-08  1.066531e-08  9.468721e-09
#>  [63,]  1.229296e-08  1.106902e-08  9.930631e-09  8.875488e-09  7.900955e-09
#>  [64,]  1.004134e-08  9.064751e-09  8.153461e-09  7.306046e-09  6.520810e-09
#>  [65,]  8.113120e-09  7.342240e-09  6.620605e-09  5.947404e-09  5.321601e-09
#>  [66,]  6.481928e-09  5.880146e-09  5.315038e-09  4.786206e-09  4.293067e-09
#>  [67,]  5.118940e-09  4.654522e-09  4.217065e-09  3.806431e-09  3.422335e-09
#>  [68,]  3.994221e-09  3.640054e-09  3.305438e-09  2.990391e-09  2.694818e-09
#>  [69,]  3.077890e-09  2.811125e-09  2.558337e-09  2.319627e-09  2.095010e-09
#>  [70,]  2.341040e-09  2.142688e-09  1.954180e-09  1.775652e-09  1.607176e-09
#>  [71,]  1.756446e-09  1.610947e-09  1.472270e-09  1.340560e-09  1.215911e-09
#>  [72,]  1.299073e-09  1.193852e-09  1.093280e-09  9.974910e-10  9.065832e-10
#>  [73,]  9.463896e-10  8.714296e-10  7.995817e-10  7.309607e-10  6.656568e-10
#>  [74,]  6.785249e-10  6.259647e-10  5.754477e-10  5.270676e-10  4.809011e-10
#>  [75,]  4.782935e-10  4.420560e-10  4.071324e-10  3.735958e-10  3.415081e-10
#>  [76,]  3.311108e-10  3.065723e-10  2.828599e-10  2.600287e-10  2.381261e-10
#>  [77,]  2.248305e-10  2.085309e-10  1.927381e-10  1.774921e-10  1.628283e-10
#>  [78,]  1.495263e-10  1.389210e-10  1.286184e-10  1.186467e-10  1.090311e-10
#>  [79,]  9.724100e-11  9.049303e-11  8.392059e-11  7.754292e-11  7.137736e-11
#>  [80,]  6.172135e-11  5.753043e-11  5.343800e-11  4.945673e-11  4.559823e-11
#>  [81,]  3.815362e-11  3.561855e-11  3.313672e-11  3.071623e-11  2.836455e-11
#>  [82,]  2.291189e-11  2.142211e-11  1.995990e-11  1.853027e-11  1.713789e-11
#>  [83,]  1.332723e-11  1.247914e-11  1.164466e-11  1.082675e-11  1.002821e-11
#>  [84,]  7.483037e-12  7.016980e-12  6.557245e-12  6.105538e-12  5.663468e-12
#>  [85,]  4.039281e-12  3.793044e-12  3.549543e-12  3.309711e-12  3.074435e-12
#>  [86,]  2.085926e-12  1.961458e-12  1.838068e-12  1.716243e-12  1.596449e-12
#>  [87,]  1.024470e-12  9.646305e-13  9.051622e-13  8.463073e-13  7.882982e-13
#>  [88,]  4.750793e-13  4.479145e-13  4.208518e-13  3.940042e-13  3.674808e-13
#>  [89,]  2.061583e-13  1.946181e-13  1.830932e-13  1.716326e-13  1.602842e-13
#>  [90,]  8.277135e-14  7.823530e-14  7.369413e-14  6.916764e-14  6.467515e-14
#>  [91,]  3.030157e-14  2.867577e-14  2.704416e-14  2.541399e-14  2.379236e-14
#>  [92,]  9.922089e-15  9.400868e-15  8.876507e-15  8.351375e-15  7.827809e-15
#>  [93,]  2.831234e-15  2.685613e-15  2.538757e-15  2.391339e-15  2.244029e-15
#>  [94,]  6.787477e-16  6.445655e-16  6.100093e-16  5.752399e-16  5.404174e-16
#>  [95,]  1.295819e-16  1.231920e-16  1.167165e-16  1.101858e-16  1.036305e-16
#>  [96,]  1.813093e-17  1.725549e-17  1.636614e-17  1.546711e-17  1.456268e-17
#>  [97,]  1.617746e-18  1.541259e-18  1.463367e-18  1.384443e-18  1.304867e-18
#>  [98,]  7.091322e-20  6.763014e-20  6.427851e-20  6.087461e-20  5.743492e-20
#>  [99,]  8.501971e-22  8.116532e-22  7.722075e-22  7.320531e-22  6.913864e-22
#> [100,]  4.301796e-25  4.110824e-25  3.914899e-25  3.714989e-25  3.512078e-25
#> [101,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
#>                [,72]         [,73]         [,74]         [,75]         [,76]
#>   [1,] 6.603790e-130 3.879977e-134 1.581623e-138 4.352779e-143 7.844603e-148
#>   [2,]  8.957300e-70  1.373573e-71  1.931860e-73  2.482561e-75  2.902924e-77
#>   [3,]  3.306671e-50  1.925697e-51  1.066394e-52  5.604205e-54  2.788918e-55
#>   [4,]  7.824314e-40  8.756037e-41  9.451868e-42  9.828419e-43  9.830175e-44
#>   [5,]  2.783138e-33  4.636757e-34  7.509103e-35  1.180868e-35  1.801185e-36
#>   [6,]  9.859755e-29  2.154719e-29  4.599441e-30  9.581578e-31  1.946166e-31
#>   [7,]  2.239088e-25  5.966873e-26  1.558300e-26  3.985343e-27  9.973384e-28
#>   [8,]  8.559355e-23  2.655608e-23  8.094037e-24  2.421948e-24  7.109777e-25
#>   [9,]  9.592581e-21  3.357970e-21  1.156902e-21  3.920520e-22  1.305994e-22
#>  [10,]  4.442584e-19  1.715898e-19  6.532155e-20  2.449631e-20  9.044215e-21
#>  [11,]  1.064316e-17  4.461340e-18  1.845350e-18  7.528317e-19  3.027528e-19
#>  [12,]  1.537795e-16  6.908188e-17  3.065270e-17  1.342806e-17  5.804669e-18
#>  [13,]  1.493884e-15  7.121696e-16  3.356151e-16  1.562798e-16  7.187202e-17
#>  [14,]  1.056166e-14  5.301469e-15  2.632399e-15  1.292467e-15  6.271938e-16
#>  [15,]  5.765631e-14  3.027953e-14  1.573986e-14  8.095254e-15  4.117639e-15
#>  [16,]  2.542532e-13  1.389749e-13  7.522807e-14  4.031178e-14  2.137518e-14
#>  [17,]  9.380292e-13  5.313270e-13  2.981791e-13  1.657307e-13  9.119314e-14
#>  [18,]  2.976512e-12  1.740740e-12  1.009028e-12  5.795100e-13  3.296367e-13
#>  [19,]  8.305126e-12  4.999146e-12  2.983613e-12  1.764964e-12  1.034447e-12
#>  [20,]  2.074480e-11  1.281790e-11  7.855235e-12  4.772977e-12  2.874377e-12
#>  [21,]  4.707192e-11  2.978647e-11  1.869969e-11  1.164299e-11  7.187020e-12
#>  [22,]  9.821196e-11  6.351731e-11  4.076522e-11  2.595472e-11  1.638756e-11
#>  [23,]  1.903279e-10  1.255828e-10  8.224860e-11  5.345144e-11  3.445624e-11
#>  [24,]  3.455108e-10  2.322250e-10  1.549599e-10  1.026257e-10  6.743206e-11
#>  [25,]  5.917816e-10  4.045997e-10  2.746860e-10  1.851227e-10  1.238067e-10
#>  [26,]  9.621878e-10  6.683490e-10  4.610737e-10  3.158114e-10  2.146975e-10
#>  [27,]  1.492914e-09  1.052389e-09  7.369060e-10  5.124012e-10  3.536905e-10
#>  [28,]  2.220493e-09  1.586926e-09  1.126738e-09  7.945435e-10  5.562822e-10
#>  [29,]  3.178367e-09  2.300842e-09  1.654962e-09  1.182440e-09  8.389091e-10
#>  [30,]  4.393166e-09  3.218714e-09  2.343479e-09  1.695062e-09  1.217622e-09
#>  [31,]  5.881155e-09  4.357811e-09  3.209217e-09  2.348161e-09  1.706523e-09
#>  [32,]  7.645259e-09  5.725405e-09  4.261797e-09  3.152286e-09  2.316131e-09
#>  [33,]  9.673052e-09  7.316751e-09  5.501610e-09  4.111047e-09  3.051866e-09
#>  [34,]  1.193594e-08  9.113957e-09  6.918552e-09  5.219830e-09  3.912825e-09
#>  [35,]  1.438965e-08  1.108590e-08  8.491569e-09  6.465122e-09  4.891002e-09
#>  [36,]  1.697601e-08  1.318923e-08  1.018908e-08  7.824535e-09  5.971060e-09
#>  [37,]  1.962578e-08  1.537028e-08  1.197022e-08  9.267541e-09  7.130673e-09
#>  [38,]  2.226235e-08  1.756791e-08  1.378687e-08  1.075685e-08  8.341431e-09
#>  [39,]  2.480594e-08  1.971672e-08  1.558617e-08  1.225033e-08  9.570224e-09
#>  [40,]  2.717792e-08  2.175067e-08  1.731339e-08  1.370323e-08  1.078098e-08
#>  [41,]  2.930499e-08  2.360659e-08  1.891489e-08  1.507065e-08  1.193660e-08
#>  [42,]  3.112281e-08  2.522745e-08  2.034095e-08  1.630989e-08  1.300099e-08
#>  [43,]  3.257900e-08  2.656512e-08  2.154825e-08  1.738269e-08  1.394090e-08
#>  [44,]  3.363526e-08  2.758245e-08  2.250185e-08  1.825704e-08  1.472764e-08
#>  [45,]  3.426857e-08  2.825464e-08  2.317668e-08  1.890861e-08  1.533838e-08
#>  [46,]  3.447145e-08  2.856983e-08  2.355821e-08  1.932161e-08  1.575705e-08
#>  [47,]  3.425142e-08  2.852895e-08  2.364272e-08  1.948917e-08  1.597491e-08
#>  [48,]  3.362970e-08  2.814489e-08  2.343676e-08  1.941319e-08  1.599052e-08
#>  [49,]  3.263932e-08  2.744118e-08  2.295630e-08  1.910374e-08  1.580947e-08
#>  [50,]  3.132285e-08  2.645017e-08  2.222533e-08  1.857807e-08  1.544367e-08
#>  [51,]  2.972988e-08  2.521105e-08  2.127431e-08  1.785940e-08  1.491044e-08
#>  [52,]  2.791443e-08  2.376766e-08  2.013835e-08  1.697548e-08  1.423134e-08
#>  [53,]  2.593244e-08  2.216632e-08  1.885543e-08  1.595705e-08  1.343098e-08
#>  [54,]  2.383944e-08  2.045387e-08  1.746464e-08  1.483642e-08  1.253572e-08
#>  [55,]  2.168855e-08  1.867579e-08  1.600455e-08  1.364598e-08  1.157253e-08
#>  [56,]  1.952879e-08  1.687469e-08  1.451186e-08  1.241704e-08  1.056783e-08
#>  [57,]  1.740380e-08  1.508907e-08  1.302020e-08  1.117869e-08  9.546567e-09
#>  [58,]  1.535097e-08  1.335244e-08  1.155931e-08  9.957046e-09  8.531440e-09
#>  [59,]  1.340092e-08  1.169276e-08  1.015441e-08  8.774634e-09  7.542333e-09
#>  [60,]  1.157737e-08  1.013218e-08  8.825925e-09  7.650022e-09  6.595932e-09
#>  [61,]  9.897266e-09  8.687103e-09  7.589392e-09  6.597696e-09  5.705540e-09
#>  [62,]  8.371234e-09  7.368405e-09  6.455612e-09  5.628108e-09  4.881062e-09
#>  [63,]  7.004134e-09  6.181906e-09  5.430972e-09  4.747894e-09  4.129132e-09
#>  [64,]  5.795822e-09  5.128950e-09  4.517893e-09  3.960213e-09  3.453364e-09
#>  [65,]  4.741961e-09  4.207073e-09  3.715375e-09  3.265179e-09  2.854690e-09
#>  [66,]  3.834871e-09  3.410722e-09  3.019594e-09  2.660349e-09  2.331753e-09
#>  [67,]  3.064359e-09  2.731965e-09  2.424505e-09  2.141236e-09  1.881334e-09
#>  [68,]  2.418515e-09  2.161185e-09  1.922441e-09  1.701818e-09  1.498782e-09
#>  [69,]  1.884418e-09  1.687708e-09  1.504667e-09  1.335020e-09  1.178435e-09
#>  [70,]  1.448762e-09  1.300362e-09  1.161876e-09  1.033152e-09  9.139948e-10
#>  [71,]  1.098373e-09  9.879524e-10  8.846161e-10  7.882926e-10  6.988757e-10
#>  [72,]  8.206222e-10  7.396417e-10  6.636458e-10  5.926106e-10  5.264859e-10
#>  [73,]  6.037368e-10  5.452448e-10  4.902034e-10  4.386148e-10  3.904619e-10
#>  [74,]  4.370085e-10  3.954345e-10  3.562081e-10  3.193443e-10  2.848438e-10
#>  [75,]  3.109196e-10  2.818703e-10  2.543894e-10  2.284958e-10  2.041988e-10
#>  [76,]  2.171922e-10  1.972600e-10  1.783551e-10  1.604963e-10  1.436956e-10
#>  [77,]  1.487768e-10  1.353634e-10  1.226089e-10  1.105297e-10  9.913764e-11
#>  [78,]  9.979358e-11  9.095331e-11  8.252626e-11  7.452552e-11  6.696119e-11
#>  [79,]  6.543940e-11  5.974264e-11  5.429879e-11  4.911767e-11  4.420724e-11
#>  [80,]  4.187296e-11  3.829025e-11  3.485828e-11  3.158407e-11  2.847350e-11
#>  [81,]  2.608852e-11  2.389430e-11  2.178736e-11  1.977251e-11  1.785387e-11
#>  [82,]  1.578703e-11  1.448162e-11  1.322518e-11  1.202085e-11  1.087136e-11
#>  [83,]  9.251637e-12  8.499420e-12  7.773738e-12  7.076552e-12  6.409600e-12
#>  [84,]  5.232540e-12  4.814157e-12  4.409605e-12  4.020057e-12  3.646566e-12
#>  [85,]  2.844554e-12  2.620850e-12  2.404051e-12  2.194827e-12  1.993782e-12
#>  [86,]  1.479131e-12  1.364706e-12  1.253565e-12  1.146069e-12  1.042552e-12
#>  [87,]  7.313573e-13  6.756954e-13  6.215113e-13  5.689906e-13  5.183049e-13
#>  [88,]  3.413865e-13  3.158216e-13  2.908810e-13  2.666540e-13  2.432241e-13
#>  [89,]  1.490943e-13  1.381071e-13  1.273651e-13  1.169083e-13  1.067744e-13
#>  [90,]  6.023546e-14  5.586670e-14  5.158628e-14  4.741078e-14  4.335587e-14
#>  [91,]  2.218624e-14  2.060235e-14  1.904720e-14  1.752703e-14  1.604775e-14
#>  [92,]  7.308102e-15  6.794490e-15  6.289141e-15  5.794146e-15  5.311501e-15
#>  [93,]  2.097484e-15  1.952350e-15  1.809254e-15  1.668805e-15  1.531590e-15
#>  [94,]  5.057004e-16  4.712447e-16  4.372033e-16  4.037247e-16  3.709527e-16
#>  [95,]  9.708082e-17  9.056685e-17  8.411807e-17  7.776334e-17  7.153068e-17
#>  [96,]  1.365708e-17  1.275454e-17  1.185923e-17  1.097524e-17  1.010657e-17
#>  [97,]  1.225018e-18  1.145274e-18  1.066010e-18  9.875971e-19  9.103971e-19
#>  [98,]  5.397606e-20  5.051465e-20  4.706725e-20  4.365029e-20  4.027989e-20
#>  [99,]  6.504061e-22  6.093118e-22  5.683032e-22  5.275791e-22  4.873356e-22
#> [100,]  3.307170e-25  3.101274e-25  2.895407e-25  2.690580e-25  2.487800e-25
#> [101,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
#>                [,77]         [,78]         [,79]         [,80]         [,81]
#>   [1,] 8.946196e-153 6.211340e-158 2.512947e-163 5.635617e-169 6.615868e-175
#>   [2,]  3.074959e-79  2.936237e-81  2.514044e-83  1.918844e-85  1.297139e-87
#>   [3,]  1.311172e-56  5.808563e-58  2.417910e-59  9.428229e-61  3.432066e-62
#>   [4,]  9.441643e-45  8.693088e-46  7.657682e-47  6.440034e-48  5.158448e-49
#>   [5,]  2.661446e-37  3.804392e-38  5.253007e-39  6.994629e-40  8.965108e-41
#>   [6,]  3.850239e-32  7.410905e-33  1.386087e-33  2.515639e-34  4.423646e-35
#>   [7,]  2.440054e-28  5.830632e-29  1.359333e-29  3.088267e-30  6.828213e-31
#>   [8,]  2.045979e-25  5.766711e-26  1.590466e-26  4.287773e-27  1.128594e-27
#>   [9,]  4.273513e-23  1.372582e-23  4.323424e-24  1.334250e-24  4.029959e-25
#>  [10,]  3.285398e-21  1.173391e-21  4.117099e-22  1.417913e-22  4.788364e-23
#>  [11,]  1.199472e-19  4.678598e-20  1.795330e-20  6.772009e-21  2.508603e-21
#>  [12,]  2.474673e-18  1.039833e-18  4.303408e-19  1.752776e-19  7.019789e-20
#>  [13,]  3.262732e-17  1.461204e-17  6.451509e-18  2.806148e-18  1.201421e-18
#>  [14,]  3.006618e-16  1.422996e-16  6.645129e-17  3.059631e-17  1.387880e-17
#>  [15,]  2.070347e-15  1.028441e-15  5.044205e-16  2.441102e-16  1.164722e-16
#>  [16,]  1.121010e-14  5.811710e-15  2.976716e-15  1.505296e-15  7.509855e-16
#>  [17,]  4.965440e-14  2.674046e-14  1.423468e-14  7.485385e-15  3.885534e-15
#>  [18,]  1.856244e-13  1.034296e-13  5.699317e-14  3.103818e-14  1.669379e-14
#>  [19,]  6.004449e-13  3.450010e-13  1.961163e-13  1.102265e-13  6.121159e-14
#>  [20,]  1.714903e-12  1.013144e-12  5.923890e-13  3.425983e-13  1.958427e-13
#>  [21,]  4.396510e-12  2.664039e-12  1.598156e-12  9.486057e-13  5.567329e-13
#>  [22,]  1.025670e-11  6.360593e-12  3.906257e-12  2.374342e-12  1.427432e-12
#>  [23,]  2.202319e-11  1.395086e-11  8.754067e-12  5.438211e-12  3.342363e-12
#>  [24,]  4.394196e-11  2.838588e-11  1.816842e-11  1.151532e-11  7.222651e-12
#>  [25,]  8.213365e-11  5.402565e-11  3.521806e-11  2.273904e-11  1.453249e-11
#>  [26,]  1.448107e-10  9.686357e-11  6.422333e-11  4.218470e-11  2.743275e-11
#>  [27,]  2.422626e-10  1.645933e-10  1.108637e-10  7.399075e-11  4.889906e-11
#>  [28,]  3.865372e-10  2.664532e-10  1.821269e-10  1.233708e-10  8.276780e-11
#>  [29,]  5.907897e-10  4.128092e-10  2.860592e-10  1.964786e-10  1.336766e-10
#>  [30,]  8.683207e-10  6.144776e-10  4.313038e-10  3.001067e-10  2.068774e-10
#>  [31,]  1.231378e-09  8.818282e-10  6.264471e-10  4.412227e-10  3.079181e-10
#>  [32,]  1.689841e-09  1.223751e-09  8.792257e-10  6.263744e-10  4.422075e-10
#>  [33,]  2.249936e-09  1.646596e-09  1.195672e-09  8.610192e-10  6.145009e-10
#>  [34,]  2.913126e-09  2.153199e-09  1.579292e-09  1.148847e-09  8.283567e-10
#>  [35,]  3.675310e-09  2.742125e-09  2.030372e-09  1.491172e-09  1.085623e-09
#>  [36,]  4.526442e-09  3.407200e-09  2.545494e-09  1.886471e-09  1.386013e-09
#>  [37,]  5.450597e-09  4.137409e-09  3.117329e-09  2.330114e-09  1.726826e-09
#>  [38,]  6.426523e-09  4.917174e-09  3.734726e-09  2.814340e-09  2.102839e-09
#>  [39,]  7.428603e-09  5.727000e-09  4.383110e-09  3.328468e-09  2.506401e-09
#>  [40,]  8.428157e-09  6.544419e-09  5.045152e-09  3.859349e-09  2.927713e-09
#>  [41,]  9.394976e-09  7.345170e-09  5.701646e-09  4.392009e-09  3.355285e-09
#>  [42,]  1.029895e-08  8.104504e-09  6.332538e-09  4.910437e-09  3.776524e-09
#>  [43,]  1.111168e-08  8.798511e-09  6.918006e-09  5.398438e-09  4.178401e-09
#>  [44,]  1.180791e-08  9.405377e-09  7.439509e-09  5.840511e-09  4.548158e-09
#>  [45,]  1.236679e-08  9.906471e-09  7.880745e-09  6.222656e-09  4.873986e-09
#>  [46,]  1.277274e-08  1.028721e-08  8.228434e-09  6.533072e-09  5.145628e-09
#>  [47,]  1.301605e-08  1.053763e-08  8.472901e-09  6.762711e-09  5.354877e-09
#>  [48,]  1.309307e-08  1.065273e-08  8.608416e-09  6.905629e-09  5.495933e-09
#>  [49,]  1.300607e-08  1.063241e-08  8.633304e-09  6.959163e-09  5.565603e-09
#>  [50,]  1.276280e-08  1.048127e-08  8.549823e-09  6.923903e-09  5.563347e-09
#>  [51,]  1.237582e-08  1.020809e-08  8.363840e-09  6.803498e-09  5.491175e-09
#>  [52,]  1.186160e-08  9.825212e-09  8.084347e-09  6.604311e-09  5.353415e-09
#>  [53,]  1.123955e-08  9.347698e-09  7.722857e-09  6.334965e-09  5.156377e-09
#>  [54,]  1.053097e-08  8.792537e-09  7.292728e-09  6.005806e-09  4.907943e-09
#>  [55,]  9.758037e-09  8.177766e-09  6.808459e-09  5.628339e-09  4.617114e-09
#>  [56,]  8.942836e-09  7.521662e-09  6.285002e-09  5.214654e-09  4.293542e-09
#>  [57,]  8.106538e-09  6.842002e-09  5.737127e-09  4.776885e-09  3.947080e-09
#>  [58,]  7.268682e-09  6.155430e-09  5.178864e-09  4.326728e-09  3.587365e-09
#>  [59,]  6.446635e-09  5.476955e-09  4.623044e-09  3.875032e-09  3.223464e-09
#>  [60,]  5.655214e-09  4.819583e-09  4.080951e-09  3.431473e-09  2.863578e-09
#>  [61,]  4.906468e-09  4.194081e-09  3.562088e-09  3.004334e-09  2.514834e-09
#>  [62,]  4.209608e-09  3.608881e-09  3.074053e-09  2.600361e-09  2.183140e-09
#>  [63,]  3.571077e-09  3.070088e-09  2.622512e-09  2.224719e-09  1.873122e-09
#>  [64,]  2.994718e-09  2.581591e-09  2.211267e-09  1.881019e-09  1.588127e-09
#>  [65,]  2.482032e-09  2.145261e-09  1.842392e-09  1.571406e-09  1.330276e-09
#>  [66,]  2.032493e-09  1.761190e-09  1.516417e-09  1.296708e-09  1.100573e-09
#>  [67,]  1.643900e-09  1.427979e-09  1.232563e-09  1.056606e-09  8.990352e-10
#>  [68,]  1.312737e-09  1.143034e-09  9.889797e-10  8.498416e-10  7.248586e-10
#>  [69,]  1.034528e-09  9.028730e-10  7.830018e-10  6.744141e-10  5.765814e-10
#>  [70,]  8.041693e-10  7.034019e-10  6.113873e-10  5.277910e-10  4.522542e-10
#>  [71,]  6.162276e-10  5.401809e-10  4.705424e-10  4.070950e-10  3.496008e-10
#>  [72,]  4.651972e-10  4.086475e-10  3.567190e-10  3.092755e-10  2.661637e-10
#>  [73,]  3.457093e-10  3.043049e-10  2.661807e-10  2.312546e-10  1.994308e-10
#>  [74,]  2.526941e-10  2.228707e-10  1.953370e-10  1.700458e-10  1.469398e-10
#>  [75,]  1.814983e-10  1.603855e-10  1.408429e-10  1.228452e-10  1.063598e-10
#>  [76,]  1.279588e-10  1.132852e-10  9.966821e-11  8.709581e-11  7.555044e-11
#>  [77,]  8.844007e-11  7.844027e-11  6.913741e-11  6.052672e-11  5.259975e-11
#>  [78,]  5.984052e-11  5.316797e-11  4.694526e-11  4.117148e-11  3.584319e-11
#>  [79,]  3.957364e-11  3.522118e-11  3.115239e-11  2.736811e-11  2.386748e-11
#>  [80,]  2.553132e-11  2.276111e-11  2.016536e-11  1.774545e-11  1.550168e-11
#>  [81,]  1.603483e-11  1.431815e-11  1.270587e-11  1.119934e-11  9.799273e-12
#>  [82,]  9.779059e-12  8.745862e-12  7.773296e-12  6.862477e-12  6.014121e-12
#>  [83,]  5.774393e-12  5.172212e-12  4.604107e-12  4.070894e-12  3.573154e-12
#>  [84,]  3.290062e-12  2.951350e-12  2.631105e-12  2.329877e-12  2.048081e-12
#>  [85,]  1.801463e-12  1.618345e-12  1.444839e-12  1.281289e-12  1.127966e-12
#>  [86,]  9.433135e-13  8.486221e-13  7.587122e-13  6.737835e-13  5.940002e-13
#>  [87,]  4.696114e-13  4.230516e-13  3.787512e-13  3.368191e-13  2.973472e-13
#>  [88,]  2.206680e-13  1.990558e-13  1.784505e-13  1.589073e-13  1.404740e-13
#>  [89,]  9.699835e-14  8.761243e-14  7.864581e-14  7.012456e-14  6.207142e-14
#>  [90,]  3.943623e-14  3.566547e-14  3.205607e-14  2.861925e-14  2.536497e-14
#>  [91,]  1.461497e-14  1.323390e-14  1.190935e-14  1.064573e-14  9.446951e-15
#>  [92,]  4.843103e-15  4.390734e-15  3.956053e-15  3.540582e-15  3.145699e-15
#>  [93,]  1.398165e-15  1.269061e-15  1.144771e-15  1.025754e-15  9.124276e-16
#>  [94,]  3.390250e-16  3.080727e-16  2.782196e-16  2.495809e-16  2.222626e-16
#>  [95,]  6.544708e-17  5.953842e-17  5.382918e-17  4.834236e-17  4.309928e-17
#>  [96,]  9.257098e-18  8.430538e-18  7.630441e-18  6.860159e-18  6.122815e-18
#>  [97,]  8.347633e-19  7.610368e-19  6.895445e-19  6.205967e-19  5.544845e-19
#>  [98,]  3.697184e-20  3.374148e-20  3.060354e-20  2.757212e-20  2.466049e-20
#>  [99,]  4.477655e-22  4.090566e-22  3.713907e-22  3.349421e-22  2.998760e-22
#> [100,]  2.288059e-25  2.092326e-25  1.901544e-25  1.716621e-25  1.538424e-25
#> [101,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
#>                [,82]         [,83]         [,84]         [,85]         [,86]
#>   [1,] 3.805496e-181 9.932106e-188 1.074908e-194 4.336825e-202 5.744453e-210
#>   [2,]  7.710964e-90  3.999016e-92  1.793321e-94  6.884598e-97  2.237141e-99
#>   [3,]  1.161911e-63  3.642935e-65  1.052785e-66  2.789491e-68  6.735683e-70
#>   [4,]  3.925076e-50  2.828782e-51  1.924598e-52  1.231540e-53  7.380355e-55
#>   [5,]  1.103797e-41  1.302470e-42  1.469147e-43  1.579446e-44  1.612969e-45
#>   [6,]  7.523925e-36  1.235399e-36  1.954006e-37  2.969801e-38  4.324937e-39
#>   [7,]  1.467097e-31  3.058052e-32  6.172235e-33  1.203683e-33  2.262411e-34
#>   [8,]  2.896461e-28  7.237222e-29  1.757567e-29  4.140393e-30  9.440242e-31
#>   [9,]  1.189854e-25  3.429437e-26  9.634098e-27  2.633181e-27  6.987637e-28
#>  [10,]  1.583865e-23  5.124967e-24  1.619854e-24  4.992831e-25  1.497821e-25
#>  [11,]  9.116581e-22  3.246380e-22  1.131202e-22  3.850960e-23  1.278458e-23
#>  [12,]  2.761682e-20  1.066064e-20  4.032625e-21  1.492567e-21  5.395816e-22
#>  [13,]  5.058286e-19  2.092011e-19  8.488585e-20  3.374345e-20  1.311870e-20
#>  [14,]  6.196630e-18  2.720362e-18  1.172851e-18  4.959033e-19  2.052941e-19
#>  [15,]  5.474183e-17  2.531847e-17  1.150987e-17  5.136036e-18  2.246038e-18
#>  [16,]  3.693126e-16  1.788474e-16  8.519302e-17  3.986414e-17  1.829534e-17
#>  [17,]  1.989275e-15  1.003529e-15  4.982798e-16  2.431990e-16  1.165014e-16
#>  [18,]  8.860217e-15  4.636137e-15  2.389009e-15  1.210810e-15  6.026668e-16
#>  [19,]  3.355897e-14  1.814723e-14  9.668829e-15  5.069380e-15  2.611618e-15
#>  [20,]  1.105685e-13  6.159753e-14  3.382555e-14  1.828686e-14  9.718752e-15
#>  [21,]  3.228239e-13  1.847794e-13  1.042937e-13  5.797613e-14  3.169553e-14
#>  [22,]  8.481344e-13  4.976079e-13  2.879892e-13  1.642126e-13  9.212030e-14
#>  [23,]  2.030832e-12  1.218814e-12  7.217739e-13  4.212552e-13  2.419649e-13
#>  [24,]  4.479746e-12  2.745176e-12  1.660384e-12  9.900387e-13  5.811503e-13
#>  [25,]  9.186440e-12  5.738792e-12  3.539358e-12  2.152519e-12  1.289078e-12
#>  [26,]  1.764885e-11  1.122343e-11  7.047988e-12  4.365416e-12  2.663187e-12
#>  [27,]  3.197728e-11  2.067439e-11  1.320214e-11  8.317064e-12  5.161875e-12
#>  [28,]  5.495490e-11  3.608127e-11  2.340238e-11  1.497743e-11  9.445261e-12
#>  [29,]  9.002493e-11  5.996170e-11  3.946058e-11  2.562888e-11  1.640496e-11
#>  [30,]  1.411834e-10  9.530706e-11  6.357906e-11  4.186499e-11  2.717316e-11
#>  [31,]  2.127679e-10  1.454488e-10  9.827096e-11  6.554708e-11  4.310235e-11
#>  [32,]  3.091487e-10  2.138450e-10  1.462178e-10  9.871306e-11  6.570980e-11
#>  [33,]  4.343433e-10  3.037992e-10  2.100699e-10  1.434397e-10  9.658573e-11
#>  [34,]  5.915906e-10  4.181353e-10  2.922039e-10  2.016670e-10  1.372695e-10
#>  [35,]  7.829300e-10  5.588610e-10  3.944614e-10  2.749997e-10  1.891030e-10
#>  [36,]  1.008831e-09  7.268562e-10  5.178944e-10  3.645059e-10  2.530762e-10
#>  [37,]  1.267921e-09  9.216231e-10  6.625476e-10  4.705352e-10  3.296797e-10
#>  [38,]  1.556838e-09  1.141129e-09  8.273044e-10  5.925774e-10  4.187824e-10
#>  [39,]  1.870241e-09  1.381760e-09  1.009814e-09  7.291792e-10  5.195490e-10
#>  [40,]  2.200974e-09  1.638402e-09  1.206513e-09  8.779312e-10  6.304077e-10
#>  [41,]  2.540367e-09  1.904637e-09  1.412745e-09  1.035530e-09  7.490745e-10
#>  [42,]  2.878672e-09  2.173043e-09  1.622961e-09  1.197909e-09  8.726337e-10
#>  [43,]  3.205569e-09  2.435579e-09  1.831003e-09  1.360436e-09  9.976702e-10
#>  [44,]  3.510728e-09  2.684013e-09  2.030423e-09  1.518153e-09  1.120442e-09
#>  [45,]  3.784355e-09  2.910369e-09  2.214835e-09  1.666039e-09  1.237078e-09
#>  [46,]  4.017715e-09  3.107347e-09  2.378257e-09  1.799286e-09  1.343792e-09
#>  [47,]  4.203564e-09  3.268702e-09  2.515428e-09  1.913555e-09  1.437080e-09
#>  [48,]  4.336482e-09  3.389548e-09  2.622066e-09  2.005198e-09  1.513914e-09
#>  [49,]  4.413089e-09  3.466561e-09  2.695072e-09  2.071435e-09  1.571886e-09
#>  [50,]  4.432134e-09  3.498096e-09  2.732641e-09  2.110473e-09  1.609322e-09
#>  [51,]  4.394456e-09  3.484196e-09  2.734310e-09  2.121559e-09  1.625341e-09
#>  [52,]  4.302843e-09  3.426512e-09  2.700919e-09  2.104979e-09  1.619873e-09
#>  [53,]  4.161787e-09  3.328136e-09  2.634501e-09  2.061992e-09  1.593627e-09
#>  [54,]  3.977180e-09  3.193375e-09  2.538130e-09  1.994720e-09  1.548013e-09
#>  [55,]  3.755956e-09  3.027482e-09  2.415706e-09  1.906002e-09  1.485045e-09
#>  [56,]  3.505718e-09  2.836356e-09  2.271734e-09  1.799214e-09  1.407203e-09
#>  [57,]  3.234363e-09  2.626243e-09  2.111082e-09  1.678088e-09  1.317298e-09
#>  [58,]  2.949738e-09  2.403448e-09  1.938743e-09  1.546520e-09  1.218319e-09
#>  [59,]  2.659327e-09  2.174071e-09  1.759624e-09  1.408397e-09  1.113296e-09
#>  [60,]  2.369998e-09  1.943788e-09  1.578349e-09  1.267435e-09  1.005166e-09
#>  [61,]  2.087803e-09  1.717672e-09  1.399112e-09  1.127048e-09  8.966651e-10
#>  [62,]  1.817843e-09  1.500065e-09  1.225557e-09  9.902442e-10  7.902372e-10
#>  [63,]  1.564197e-09  1.294504e-09  1.060700e-09  8.595572e-10  6.879726e-10
#>  [64,]  1.329900e-09  1.103688e-09  9.068971e-10  7.370048e-10  5.915670e-10
#>  [65,]  1.116975e-09  9.294919e-10  7.658417e-10  6.240792e-10  5.023063e-10
#>  [66,]  9.265097e-10  7.730149e-10  6.385922e-10  5.217628e-10  4.210728e-10
#>  [67,]  7.587535e-10  6.346545e-10  5.256273e-10  4.305645e-10  3.483688e-10
#>  [68,]  6.132463e-10  5.142032e-10  4.269178e-10  3.505735e-10  2.843548e-10
#>  [69,]  4.889519e-10  4.109559e-10  3.420103e-10  2.815231e-10  2.288973e-10
#>  [70,]  3.843968e-10  3.238214e-10  2.701166e-10  2.228603e-10  1.816232e-10
#>  [71,]  2.978039e-10  2.514326e-10  2.102023e-10  1.738177e-10  1.419751e-10
#>  [72,]  2.272155e-10  1.922493e-10  1.610722e-10  1.334817e-10  1.092669e-10
#>  [73,]  1.706020e-10  1.446498e-10  1.214464e-10  1.008558e-10  8.273468e-11
#>  [74,]  1.259524e-10  1.070088e-10  9.002639e-11  7.491578e-11  6.158161e-11
#>  [75,]  9.134690e-11  7.776063e-11  6.554909e-11  5.465506e-11  4.501655e-11
#>  [76,]  6.500961e-11  5.544611e-11  4.682836e-11  3.912075e-11  3.228396e-11
#>  [77,]  4.534445e-11  3.874546e-11  3.278423e-11  2.743929e-11  2.268639e-11
#>  [78,]  3.095450e-11  2.649721e-11  2.246090e-11  1.883305e-11  1.559918e-11
#>  [79,]  2.064800e-11  1.770563e-11  1.503482e-11  1.262858e-11  1.047855e-11
#>  [80,]  1.343331e-11  1.153857e-11  9.814691e-12  8.257974e-12  6.863784e-12
#>  [81,]  8.505701e-12  7.318017e-12  6.234981e-12  5.254741e-12  4.374851e-12
#>  [82,]  5.228540e-12  4.505656e-12  3.845000e-12  3.245723e-12  2.706602e-12
#>  [83,]  3.111235e-12  2.685254e-12  2.295095e-12  1.940416e-12  1.620649e-12
#>  [84,]  1.786004e-12  1.543801e-12  1.321492e-12  1.118971e-12  9.359982e-13
#>  [85,]  9.850711e-13  8.527355e-13  7.310173e-13  6.199028e-13  5.193059e-13
#>  [86,]  5.194902e-13  4.503445e-13  3.866166e-13  3.283223e-13  2.754391e-13
#>  [87,]  2.604096e-13  2.260624e-13  1.943432e-13  1.652708e-13  1.388448e-13
#>  [88,]  1.231900e-13  1.070864e-13  9.218591e-14  7.850217e-14  6.604000e-14
#>  [89,]  5.450569e-14  4.744307e-14  4.089555e-14  3.487126e-14  2.937438e-14
#>  [90,]  2.230182e-14  1.943695e-14  1.677603e-14  1.432319e-14  1.208095e-14
#>  [91,]  8.316464e-15  7.257193e-15  6.271523e-15  5.361272e-15  4.527664e-15
#>  [92,]  2.772626e-15  2.422419e-15  2.095958e-15  1.793936e-15  1.516855e-15
#>  [93,]  8.051673e-16  7.043011e-16  6.101080e-16  5.228138e-16  4.425891e-16
#>  [94,]  1.963607e-16  1.719601e-16  1.491344e-16  1.279442e-16  1.084369e-16
#>  [95,]  3.811937e-17  3.342006e-17  2.901657e-17  2.492173e-17  2.114583e-17
#>  [96,]  5.421285e-18  4.758166e-18  4.135753e-18  3.556014e-18  3.020559e-18
#>  [97,]  4.914778e-19  4.318223e-19  3.757372e-19  3.234131e-19  2.750086e-19
#>  [98,]  2.188104e-20  1.924514e-20  1.676304e-20  1.444371e-20  1.229477e-20
#>  [99,]  2.663475e-22  2.344999e-22  2.044633e-22  1.763529e-22  1.502677e-22
#> [100,]  1.367769e-25  1.205415e-25  1.052057e-25  9.083156e-26  7.747296e-26
#> [101,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
#>                [,87]         [,88]         [,89]         [,90]         [,91]
#>   [1,] 2.142721e-218 1.865728e-227 3.004865e-237 6.674073e-248 1.401227e-259
#>   [2,] 6.074132e-102 1.357631e-104 2.455045e-107 3.519309e-110 3.903007e-113
#>   [3,]  1.471986e-71  2.888131e-73  5.040387e-75  7.738270e-77  1.031316e-78
#>   [4,]  4.121953e-56  2.133344e-57  1.016381e-58  4.422278e-60  1.740463e-61
#>   [5,]  1.558630e-46  1.418697e-47  1.209892e-48  9.605875e-50  7.044995e-51
#>   [6,]  6.015280e-40  7.959465e-41  9.974275e-42  1.177233e-42  1.299884e-43
#>   [7,]  4.086598e-35  7.069740e-36  1.166628e-36  1.827324e-37  2.700381e-38
#>   [8,]  2.077760e-31  4.400797e-32  8.936732e-33  1.732123e-33  3.186439e-34
#>   [9,]  1.795992e-28  4.458123e-29  1.065053e-29  2.438534e-30  5.322843e-31
#>  [10,]  4.363392e-26  1.231009e-26  3.352366e-27  8.777173e-28  2.198355e-28
#>  [11,]  4.130014e-24  1.294916e-24  3.928257e-25  1.148571e-25  3.221252e-26
#>  [12,]  1.901323e-22  6.514060e-23  2.163401e-23  6.939035e-24  2.139490e-24
#>  [13,]  4.978164e-21  1.839420e-21  6.598687e-22  2.289976e-22  7.652855e-23
#>  [14,]  8.304937e-20  3.275381e-20  1.255787e-20  4.664084e-21  1.670610e-21
#>  [15,]  9.607571e-19  4.010752e-19  1.629457e-19  6.420381e-20  2.442725e-20
#>  [16,]  8.219991e-18  3.607470e-18  1.542215e-18  6.400562e-19  2.567693e-19
#>  [17,]  5.467505e-17  2.508300e-17  1.121838e-17  4.875067e-18  2.049623e-18
#>  [18,]  2.940642e-16  1.403549e-16  6.535463e-17  2.958996e-17  1.297158e-17
#>  [19,]  1.319680e-15  6.526800e-16  3.151085e-16  1.480190e-16  6.736725e-17
#>  [20,]  5.068722e-15  2.588696e-15  1.291291e-15  6.270599e-16  2.952057e-16
#>  [21,]  1.701184e-14  8.945316e-15  4.596274e-15  2.300239e-15  1.116599e-15
#>  [22,]  5.075473e-14  2.740710e-14  1.446765e-14  7.441841e-15  3.714665e-15
#>  [23,]  1.365468e-13  7.554957e-14  4.087834e-14  2.156114e-14  1.104040e-14
#>  [24,]  3.352596e-13  1.896860e-13  1.049894e-13  5.666630e-14  2.970277e-14
#>  [25,]  7.589079e-13  4.383147e-13  2.477250e-13  1.365711e-13  7.314466e-14
#>  [26,]  1.597588e-12  9.404352e-13  5.418731e-13  3.046450e-13  1.664381e-13
#>  [27,]  3.150879e-12  1.887815e-12  1.107385e-12  6.339807e-13  3.528018e-13
#>  [28,]  5.859597e-12  3.568769e-12  2.128518e-12  1.239295e-12  7.015416e-13
#>  [29,]  1.033190e-11  6.389505e-12  3.870352e-12  2.289092e-12  1.316593e-12
#>  [30,]  1.735659e-11  1.088801e-11  6.691272e-12  4.015887e-12  2.344313e-12
#>  [31,]  2.789669e-11  1.773516e-11  1.104759e-11  6.721832e-12  3.978757e-12
#>  [32,]  4.305792e-11  2.771865e-11  1.748670e-11  1.077707e-11  6.462565e-12
#>  [33,]  6.402982e-11  4.170686e-11  2.662632e-11  1.660870e-11  1.008176e-11
#>  [34,]  9.200099e-11  6.059296e-11  3.911892e-11  2.467918e-11  1.515342e-11
#>  [35,]  1.280542e-10  8.522189e-11  5.560268e-11  3.545463e-11  2.200603e-11
#>  [36,]  1.730506e-10  1.163064e-10  7.664253e-11  4.936487e-11  3.095340e-11
#>  [37,]  2.275147e-10  1.543403e-10  1.026665e-10  6.675846e-11  4.226421e-11
#>  [38,]  2.915334e-10  1.995175e-10  1.339044e-10  8.785739e-11  5.612989e-11
#>  [39,]  3.646800e-10  2.516677e-10  1.703343e-10  1.127161e-10  7.263431e-11
#>  [40,]  4.459743e-10  3.102149e-10  2.116462e-10  1.411898e-10  9.172870e-11
#>  [41,]  5.338833e-10  3.741662e-10  2.572234e-10  1.729160e-10  1.132149e-10
#>  [42,]  6.263665e-10  4.421320e-10  3.061496e-10  2.073125e-10  1.367391e-10
#>  [43,]  7.209607e-10  5.123788e-10  3.572378e-10  2.435919e-10  1.617981e-10
#>  [44,]  8.149005e-10  5.829092e-10  4.090822e-10  2.807931e-10  1.877565e-10
#>  [45,]  9.052630e-10  6.515650e-10  4.601283e-10  3.178275e-10  2.138762e-10
#>  [46,]  9.891259e-10  7.161425e-10  5.087550e-10  3.535353e-10  2.393533e-10
#>  [47,]  1.063727e-09  7.745130e-10  5.533632e-10  3.867486e-10  2.633613e-10
#>  [48,]  1.126611e-09  8.247382e-10  5.924633e-10  4.163555e-10  2.850971e-10
#>  [49,]  1.175758e-09  8.651731e-10  6.247556e-10  4.413611e-10  3.038247e-10
#>  [50,]  1.209679e-09  8.945474e-10  6.491968e-10  4.609397e-10  3.189153e-10
#>  [51,]  1.227479e-09  9.120237e-10  6.650505e-10  4.744765e-10  3.298795e-10
#>  [52,]  1.228882e-09  9.172265e-10  6.719165e-10  4.815944e-10  3.363908e-10
#>  [53,]  1.214217e-09  9.102443e-10  6.697404e-10  4.821668e-10  3.382981e-10
#>  [54,]  1.184379e-09  8.916050e-10  6.588019e-10  4.763139e-10  3.356274e-10
#>  [55,]  1.140753e-09  8.622287e-10  6.396858e-10  4.643870e-10  3.285733e-10
#>  [56,]  1.085122e-09  8.233624e-10  6.132380e-10  4.469393e-10  3.174821e-10
#>  [57,]  1.019559e-09  7.765024e-10  5.805105e-10  4.246884e-10  3.028262e-10
#>  [58,]  9.463166e-10  7.233094e-10  5.426996e-10  3.984728e-10  2.851751e-10
#>  [59,]  8.677128e-10  6.655237e-10  5.010822e-10  3.692056e-10  2.651623e-10
#>  [60,]  7.860299e-10  6.048838e-10  4.569536e-10  3.378281e-10  2.434519e-10
#>  [61,]  7.034219e-10  5.430528e-10  4.115708e-10  3.052668e-10  2.207076e-10
#>  [62,]  6.218400e-10  4.815583e-10  3.661033e-10  2.723952e-10  1.975634e-10
#>  [63,]  5.429769e-10  4.217435e-10  3.215940e-10  2.400028e-10  1.745999e-10
#>  [64,]  4.682294e-10  3.647352e-10  2.789308e-10  2.087718e-10  1.523260e-10
#>  [65,]  3.986810e-10  3.114251e-10  2.388299e-10  1.792616e-10  1.311655e-10
#>  [66,]  3.351011e-10  2.624655e-10  2.018283e-10  1.519015e-10  1.114506e-10
#>  [67,]  2.779591e-10  2.182763e-10  1.682875e-10  1.269911e-10  9.342038e-11
#>  [68,]  2.274513e-10  1.790630e-10  1.384040e-10  1.047065e-10  7.722387e-11
#>  [69,]  1.835352e-10  1.448415e-10  1.122270e-10  8.511179e-11  6.292746e-11
#>  [70,]  1.459711e-10  1.154682e-10  8.967970e-11  6.817399e-11  5.052504e-11
#>  [71,]  1.143648e-10  9.067282e-11  7.058347e-11  5.378071e-11  3.995014e-11
#>  [72,]  8.821090e-11  7.009146e-11  5.468315e-11  4.175842e-11  3.108905e-11
#>  [73,]  6.693368e-11  5.329856e-11  4.167120e-11  3.189062e-11  2.379398e-11
#>  [74,]  4.992330e-11  3.983577e-11  3.121021e-11  2.393485e-11  1.789559e-11
#>  [75,]  3.656723e-11  2.923704e-11  2.295261e-11  1.763783e-11  1.321426e-11
#>  [76,]  2.627533e-11  2.104914e-11  1.655699e-11  1.274812e-11  9.569722e-12
#>  [77,]  1.849876e-11  1.484732e-11  1.170086e-11  9.026275e-12  6.788767e-12
#>  [78,]  1.274298e-11  1.024640e-11  8.089820e-12  6.252165e-12  4.711039e-12
#>  [79,]  8.575094e-12  6.907333e-12  5.463262e-12  4.229806e-12  3.192909e-12
#>  [80,]  5.626613e-12  4.540117e-12  3.597161e-12  2.789859e-12  2.109623e-12
#>  [81,]  3.592286e-12  2.903472e-12  2.304303e-12  1.790167e-12  1.355970e-12
#>  [82,]  2.226053e-12  1.802137e-12  1.432576e-12  1.114761e-12  8.457677e-13
#>  [83,]  1.335006e-12  1.082483e-12  8.618636e-13  6.717263e-13  5.104500e-13
#>  [84,]  7.722062e-13  6.271003e-13  5.000602e-13  3.903425e-13  2.970834e-13
#>  [85,]  4.290687e-13  3.489615e-13  2.786838e-13  2.178642e-13  1.660623e-13
#>  [86,]  2.279064e-13  1.856249e-13  1.484570e-13  1.162270e-13  8.872094e-14
#>  [87,]  1.150457e-13  9.383428e-14  7.515174e-14  5.891961e-14  4.503962e-14
#>  [88,]  5.479499e-14  4.475344e-14  3.589218e-14  2.817850e-14  2.157005e-14
#>  [89,]  2.440504e-14  1.995920e-14  1.602861e-14  1.260070e-14  9.658504e-15
#>  [90,]  1.005016e-14  8.229986e-15  6.617826e-15  5.209291e-15  3.998155e-15
#>  [91,]  3.771311e-15  3.092185e-15  2.489602e-15  1.962196e-15  1.507903e-15
#>  [92,]  1.265009e-15  1.038483e-15  8.371379e-16  6.606077e-16  5.082879e-16
#>  [93,]  3.695453e-16  3.037327e-16  2.451366e-16  1.936754e-16  1.491974e-16
#>  [94,]  9.064587e-17  7.458924e-17  6.026954e-17  4.767271e-17  3.676740e-17
#>  [95,]  1.769645e-17  1.457825e-17  1.179284e-17  9.338621e-18  7.210553e-18
#>  [96,]  2.530616e-18  2.087005e-18  1.690112e-18  1.339858e-18  1.035677e-18
#>  [97,]  2.306485e-19  1.904204e-19  1.543731e-19  1.225127e-19  9.480110e-20
#>  [98,]  1.032234e-20  8.530896e-21  6.923193e-21  5.500096e-21  4.260464e-21
#>  [99,]  1.262888e-22  1.044776e-22  8.487447e-23  6.749679e-23  5.233741e-23
#> [100,]  6.517479e-26  5.397200e-26  4.388872e-26  3.493733e-26  2.711750e-26
#> [101,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
#>                [,92]         [,93]         [,94]         [,95]         [,96]
#>   [1,] 1.691076e-272 5.981220e-287 2.411009e-303 2.766768e-322  0.000000e+00
#>   [2,] 3.251237e-116 1.961129e-119 8.176696e-123 2.217059e-126 3.596321e-130
#>   [3,]  1.173974e-80  1.118490e-82  8.689404e-85  5.316894e-87  2.441161e-89
#>   [4,]  6.123217e-63  1.897193e-64  5.077356e-66  1.143352e-67  2.087209e-69
#>   [5,]  4.726934e-52  2.866067e-53  1.545163e-54  7.244842e-56  2.861322e-57
#>   [6,]  1.331533e-44  1.251727e-45  1.064510e-46  8.028874e-48  5.216976e-49
#>   [7,]  3.736389e-39  4.793106e-40  5.625940e-41  5.931866e-42  5.467456e-43
#>   [8,]  5.524430e-35  8.943877e-36  1.335470e-36  1.807303e-37  2.159787e-38
#>   [9,]  1.100305e-31  2.135197e-32  3.843875e-33  6.312669e-34  9.221837e-35
#>  [10,]  5.233628e-29  1.174400e-29  2.455621e-30  4.707078e-31  8.070228e-32
#>  [11,]  8.612236e-27  2.177148e-27  5.146274e-28  1.119429e-28  2.187166e-29
#>  [12,]  6.303174e-25  1.760298e-25  4.609370e-26  1.114053e-26  2.426608e-27
#>  [13,]  2.448392e-23  7.440617e-24  2.124876e-24  5.614673e-25  1.340622e-25
#>  [14,]  5.737642e-22  1.874991e-22  5.768433e-23  1.645311e-23  4.249865e-24
#>  [15,]  8.923019e-21  3.105788e-21  1.019267e-21  3.106367e-22  8.588861e-23
#>  [16,]  9.900973e-20  3.642126e-20  1.264869e-20  4.084952e-21  1.198665e-21
#>  [17,]  8.290720e-19  3.202549e-19  1.169195e-19  3.974089e-20  1.228874e-20
#>  [18,]  5.475506e-18  2.209130e-18  8.431630e-19  2.999135e-19  9.715537e-20
#>  [19,]  2.954428e-17  1.239347e-17  4.922161e-18  1.823420e-18  6.157496e-19
#>  [20,]  1.340000e-16  5.821917e-17  2.396487e-17  9.208219e-18  3.227813e-18
#>  [21,]  5.229056e-16  2.345212e-16  9.971354e-17  3.960041e-17  1.435746e-17
#>  [22,]  1.789662e-15  8.261826e-16  3.617661e-16  1.480471e-16  5.534349e-17
#>  [23,]  5.458786e-15  2.587359e-15  1.163777e-15  4.894644e-16  1.881467e-16
#>  [24,]  1.503949e-14  7.302853e-15  3.366567e-15  1.451818e-15  5.724856e-16
#>  [25,]  3.785460e-14  1.879459e-14  8.862274e-15  3.910736e-15  1.578625e-15
#>  [26,]  8.789350e-14  4.454283e-14  2.144580e-14  9.666292e-15  3.986988e-15
#>  [27,]  1.898237e-13  9.804199e-14  4.812240e-14  2.211934e-14  9.306947e-15
#>  [28,]  3.840654e-13  2.018884e-13  1.008807e-13  4.721906e-14  2.023786e-14
#>  [29,]  7.325056e-13  3.914049e-13  1.988558e-13  9.466135e-14  4.127246e-14
#>  [30,]  1.324066e-12  7.183756e-13  3.706689e-13  1.792432e-13  7.940653e-14
#>  [31,]  2.279019e-12  1.254239e-12  6.565869e-13  3.221930e-13  1.448742e-13
#>  [32,]  3.750796e-12  2.091945e-12  1.110032e-12  5.522231e-13  2.517850e-13
#>  [33,]  5.924056e-12  3.345644e-12  1.797922e-12  9.060050e-13  4.185078e-13
#>  [34,]  9.008129e-12  5.147545e-12  2.799380e-12  1.427777e-12  6.676401e-13
#>  [35,]  1.322546e-11  7.641527e-12  4.202482e-12  2.167857e-12  1.025423e-12
#>  [36,]  1.879539e-11  1.097358e-11  6.098973e-12  3.179956e-12  1.520521e-12
#>  [37,]  2.591432e-11  1.527953e-11  8.577148e-12  4.517351e-12  2.182154e-12
#>  [38,]  3.473402e-11  2.067115e-11  1.171341e-11  6.228143e-12  3.037691e-12
#>  [39,]  4.534023e-11  2.722177e-11  1.556329e-11  8.350005e-12  4.109866e-12
#>  [40,]  5.773394e-11  3.495318e-11  2.015275e-11  1.090494e-11  5.413889e-12
#>  [41,]  7.181758e-11  4.382516e-11  2.547095e-11  1.389459e-11  6.954762e-12
#>  [42,]  8.738796e-11  5.372905e-11  3.146514e-11  1.729673e-11  8.725093e-12
#>  [43,]  1.041371e-10  6.448633e-11  3.803857e-11  2.106332e-11  1.070370e-11
#>  [44,]  1.216616e-10  7.585259e-11  4.505169e-11  2.512047e-11  1.285523e-11
#>  [45,]  1.394793e-10  8.752695e-11  5.232690e-11  2.937054e-11  1.513082e-11
#>  [46,]  1.570531e-10  9.916614e-11  5.965635e-11  3.369609e-11  1.746998e-11
#>  [47,]  1.738195e-10  1.104023e-10  6.681248e-11  3.796563e-11  1.980332e-11
#>  [48,]  1.892195e-10  1.208630e-10  7.356021e-11  4.204055e-11  2.205621e-11
#>  [49,]  2.027293e-10  1.301921e-10  7.967007e-11  4.578281e-11  2.415283e-11
#>  [50,]  2.138895e-10  1.380693e-10  8.493097e-11  4.906268e-11  2.602044e-11
#>  [51,]  2.223290e-10  1.442275e-10  8.916192e-11  5.176604e-11  2.759351e-11
#>  [52,]  2.277840e-10  1.484670e-10  9.222162e-11  5.380055e-11  2.881736e-11
#>  [53,]  2.301090e-10  1.506644e-10  9.401542e-11  5.510039e-11  2.965104e-11
#>  [54,]  2.292806e-10  1.507769e-10  9.449926e-11  5.562933e-11  3.006934e-11
#>  [55,]  2.253948e-10  1.488423e-10  9.368036e-11  5.538173e-11  3.006376e-11
#>  [56,]  2.186562e-10  1.449732e-10  9.161500e-11  5.438185e-11  2.964239e-11
#>  [57,]  2.093631e-10  1.393485e-10  8.840345e-11  5.268135e-11  2.882894e-11
#>  [58,]  1.978879e-10  1.322006e-10  8.418284e-11  5.035539e-11  2.766075e-11
#>  [59,]  1.846546e-10  1.238014e-10  7.911840e-11  4.749767e-11  2.618626e-11
#>  [60,]  1.701161e-10  1.144470e-10  7.339386e-11  4.421484e-11  2.446205e-11
#>  [61,]  1.547316e-10  1.044423e-10  6.720167e-11  4.062054e-11  2.254952e-11
#>  [62,]  1.389460e-10  9.408712e-11  6.073358e-11  3.682974e-11  2.051178e-11
#>  [63,]  1.231721e-10  8.366301e-11  5.417231e-11  3.295342e-11  1.841055e-11
#>  [64,]  1.077765e-10  7.342349e-11  4.768438e-11  2.909406e-11  1.630360e-11
#>  [65,]  9.306945e-11  6.358614e-11  4.141478e-11  2.534210e-11  1.424256e-11
#>  [66,]  7.929847e-11  5.432774e-11  3.548321e-11  2.177335e-11  1.227136e-11
#>  [67,]  6.664663e-11  4.578208e-11  2.998220e-11  1.844757e-11  1.042525e-11
#>  [68,]  5.523361e-11  3.804013e-11  2.497683e-11  1.540800e-11  8.730372e-12
#>  [69,]  4.512012e-11  3.115248e-11  2.050583e-11  1.268181e-11  7.203914e-12
#>  [70,]  3.631445e-11  2.513331e-11  1.658394e-11  1.028135e-11  5.854653e-12
#>  [71,]  2.878060e-11  1.996566e-11  1.320506e-11  8.205900e-12  4.683880e-12
#>  [72,]  2.244735e-11  1.560738e-11  1.034598e-11  6.443885e-12  3.686566e-12
#>  [73,]  1.721749e-11  1.199731e-11  7.970386e-12  4.975232e-12  2.852660e-12
#>  [74,]  1.297668e-11  9.061434e-12  6.032755e-12  3.773783e-12  2.168427e-12
#>  [75,]  9.601677e-12  6.718471e-12  4.482117e-12  2.809585e-12  1.617752e-12
#>  [76,]  6.967266e-12  4.884816e-12  3.265329e-12  2.050952e-12  1.183309e-12
#>  [77,]  4.952066e-12  3.478628e-12  2.329838e-12  1.466211e-12  8.475884e-13
#>  [78,]  3.442859e-12  2.422986e-12  1.625855e-12  1.025107e-12  5.937135e-13
#>  [79,]  2.337609e-12  1.648120e-12  1.107920e-12  6.998206e-13  4.060585e-13
#>  [80,]  1.547209e-12  1.092768e-12  7.358883e-13  4.656478e-13  2.706633e-13
#>  [81,]  9.961646e-13  7.047727e-13  4.754167e-13  3.013450e-13  1.754617e-13
#>  [82,]  6.223674e-13  4.410440e-13  2.980071e-13  1.892074e-13  1.103520e-13
#>  [83,]  3.762208e-13  2.670385e-13  1.807244e-13  1.149287e-13  6.713872e-14
#>  [84,]  2.193016e-13  1.559009e-13  1.056742e-13  6.730698e-14  3.938096e-14
#>  [85,]  1.227689e-13  8.740802e-14  5.933755e-14  3.785127e-14  2.218034e-14
#>  [86,]  6.568696e-14  4.683593e-14  3.184170e-14  2.034171e-14  1.193761e-14
#>  [87,]  3.339375e-14  2.384427e-14  1.623385e-14  1.038568e-14  6.103628e-15
#>  [88,]  1.601480e-14  1.145096e-14  7.806962e-15  5.001490e-15  2.943460e-15
#>  [89,]  7.180644e-15  5.141241e-15  3.509892e-15  2.251635e-15  1.326920e-15
#>  [90,]  2.976323e-15  2.133794e-15  1.458638e-15  9.369616e-16  5.528915e-16
#>  [91,]  1.123945e-15  8.068069e-16  5.522270e-16  3.551780e-16  2.098550e-16
#>  [92,]  3.793300e-16  2.726332e-16  1.868377e-16  1.203183e-16  7.117775e-17
#>  [93,]  1.114782e-16  8.021827e-17  5.504043e-17  3.548726e-17  2.101888e-17
#>  [94,]  2.750418e-17  1.981481e-17  1.361153e-17  8.786311e-18  5.210188e-18
#>  [95,]  5.400048e-18  3.894778e-18  2.678516e-18  1.730968e-18  1.027617e-18
#>  [96,]  7.764854e-19  5.606591e-19  3.860035e-19  2.497281e-19  1.484198e-19
#>  [97,]  7.115242e-20  5.143075e-20  3.544730e-20  2.295766e-20  1.365905e-20
#>  [98,]  3.201016e-21  2.316200e-21  1.598054e-21  1.036076e-21  6.170786e-22
#>  [99,]  3.936278e-23  2.851129e-23  1.969135e-23  1.277964e-23  7.619229e-24
#> [100,]  2.041522e-26  1.480186e-26  1.023307e-26  6.647842e-27  3.967386e-27
#> [101,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
#>                [,97]         [,98]         [,99]        [,100] [,101]
#>   [1,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00      0
#>   [2,] 3.091858e-134 1.162995e-138 1.348080e-143 2.042416e-149      0
#>   [3,]  7.824108e-92  1.554322e-94  1.519606e-97 3.910062e-101      0
#>   [4,]  2.918114e-71  2.836905e-73  1.576915e-75  2.850890e-78      0
#>   [5,]  9.056856e-59  2.106991e-60  3.007147e-62  1.534947e-64      0
#>   [6,]  2.789448e-50  1.131536e-51  2.929106e-53  2.854198e-55      0
#>   [7,]  4.217659e-44  2.518415e-45  9.833654e-47  1.490650e-48      0
#>   [8,]  2.185369e-39  1.735035e-40  9.155536e-42  1.913478e-43      0
#>   [9,]  1.150209e-35  1.136567e-36  7.549933e-38  2.013782e-39      0
#>  [10,]  1.188692e-32  1.397002e-33  1.112870e-34  3.594753e-36      0
#>  [11,]  3.688734e-30  4.990642e-31  4.605159e-32  1.735613e-33      0
#>  [12,]  4.579486e-28  6.961971e-29  7.253087e-30  3.103254e-31      0
#>  [13,]  2.781616e-26  4.664688e-27  5.380756e-28  2.559859e-29      0
#>  [14,]  9.562093e-25  1.743494e-25  2.193188e-26  1.141678e-27      0
#>  [15,]  2.072640e-23  4.062043e-24  5.505532e-25  3.096274e-26      0
#>  [16,]  3.074854e-22  6.417432e-23  9.280922e-24  5.581627e-25      0
#>  [17,]  3.326507e-21  7.337185e-22  1.123249e-22  7.163888e-24      0
#>  [18,]  2.758376e-20  6.389211e-21  1.028593e-21  6.909100e-23      0
#>  [19,]  1.824182e-19  4.413716e-20  7.431014e-21  5.226659e-22      0
#>  [20,]  9.934770e-19  2.499643e-19  4.380622e-20  3.210650e-21      0
#>  [21,]  4.573961e-18  1.192124e-18  2.165995e-19  1.647374e-20      0
#>  [22,]  1.819069e-17  4.894899e-18  9.188924e-19  7.226489e-20      0
#>  [23,]  6.362570e-17  1.762546e-17  3.408410e-18  2.763137e-19      0
#>  [24,]  1.986973e-16  5.652222e-17  1.123033e-17  9.359745e-19      0
#>  [25,]  5.611312e-16  1.635500e-16  3.331162e-17  2.847512e-18      0
#>  [26,]  1.448649e-15  4.317775e-16  8.997127e-17  7.871751e-18      0
#>  [27,]  3.450847e-15  1.049978e-15  2.234337e-16  1.997178e-17      0
#>  [28,]  7.645914e-15  2.371217e-15  5.144876e-16  4.690665e-17      0
#>  [29,]  1.586668e-14  5.008580e-15  1.106464e-15  1.027436e-16      0
#>  [30,]  3.102530e-14  9.956162e-15  2.236559e-15  2.112458e-16      0
#>  [31,]  5.746584e-14  1.872607e-14  4.272701e-15  4.100047e-16      0
#>  [32,]  1.012925e-13  3.348382e-14  7.751888e-15  7.549370e-16      0
#>  [33,]  1.706039e-13  5.715682e-14  1.341370e-14  1.324495e-15      0
#>  [34,]  2.755561e-13  9.348602e-14  2.222100e-14  2.222711e-15      0
#>  [35,]  4.281813e-13  1.469908e-13  3.535934e-14  3.580097e-15      0
#>  [36,]  6.419128e-13  2.228232e-13  5.420775e-14  5.551449e-15      0
#>  [37,]  9.307971e-13  3.264997e-13  8.027609e-14  8.309884e-15      0
#>  [38,]  1.308422e-12  4.635136e-13  1.151084e-13  1.203685e-14      0
#>  [39,]  1.786629e-12  6.388513e-13  1.601565e-13  1.690838e-14      0
#>  [40,]  2.374130e-12  8.564509e-13  2.166334e-13  2.307850e-14      0
#>  [41,]  3.075158e-12  1.118655e-12  2.853590e-13  3.066121e-14      0
#>  [42,]  3.888312e-12  1.425717e-12  3.666155e-13  3.971276e-14      0
#>  [43,]  4.805738e-12  1.775424e-12  4.600284e-13  5.021638e-14      0
#>  [44,]  5.812751e-12  2.162876e-12  5.644881e-13  6.207115e-14      0
#>  [45,]  6.887984e-12  2.580472e-12  6.781251e-13  7.508674e-14      0
#>  [46,]  8.004073e-12  3.018106e-12  7.983434e-13  8.898489e-14      0
#>  [47,]  9.128854e-12  3.463576e-12  9.219151e-13  1.034082e-13      0
#>  [48,]  1.022698e-11  3.903173e-12  1.045129e-12  1.179355e-13      0
#>  [49,]  1.126183e-11  4.322410e-12  1.163984e-12  1.321032e-13      0
#>  [50,]  1.219758e-11  4.706831e-12  1.274409e-12  1.454304e-13      0
#>  [51,]  1.300120e-11  5.042837e-12  1.372495e-12  1.574464e-13      0
#>  [52,]  1.364437e-11  5.318460e-12  1.454724e-12  1.677179e-13      0
#>  [53,]  1.410501e-11  5.524032e-12  1.518162e-12  1.758738e-13      0
#>  [54,]  1.436837e-11  5.652696e-12  1.560625e-12  1.816263e-13      0
#>  [55,]  1.442771e-11  5.700735e-12  1.580788e-12  1.847857e-13      0
#>  [56,]  1.428444e-11  5.667690e-12  1.578235e-12  1.852692e-13      0
#>  [57,]  1.394773e-11  5.556278e-12  1.553459e-12  1.831026e-13      0
#>  [58,]  1.343373e-11  5.372130e-12  1.507801e-12  1.784153e-13      0
#>  [59,]  1.276440e-11  5.123368e-12  1.443342e-12  1.714292e-13      0
#>  [60,]  1.196613e-11  4.820062e-12  1.362765e-12  1.624432e-13      0
#>  [61,]  1.106814e-11  4.473626e-12  1.269181e-12  1.518134e-13      0
#>  [62,]  1.010095e-11  4.096175e-12  1.165957e-12  1.399324e-13      0
#>  [63,]  9.094859e-12  3.699906e-12  1.056530e-12  1.272076e-13      0
#>  [64,]  8.078551e-12  3.296528e-12  9.442451e-13  1.140410e-13      0
#>  [65,]  7.078020e-12  2.896785e-12  8.322099e-13  1.008104e-13      0
#>  [66,]  6.115689e-12  2.510070e-12  7.231782e-13  8.785524e-14      0
#>  [67,]  5.209850e-12  2.144166e-12  6.194656e-13  7.546498e-14      0
#>  [68,]  4.374384e-12  1.805101e-12  5.228993e-13  6.387195e-14      0
#>  [69,]  3.618754e-12  1.497118e-12  4.348007e-13  5.324835e-14      0
#>  [70,]  2.948227e-12  1.222735e-12  3.559971e-13  4.370666e-14      0
#>  [71,]  2.364281e-12  9.828990e-13  2.868578e-13  3.530341e-14      0
#>  [72,]  1.865154e-12  7.771926e-13  2.273502e-13  2.804522e-14      0
#>  [73,]  1.446470e-12  6.040800e-13  1.771074e-13  2.189678e-14      0
#>  [74,]  1.101894e-12  4.611736e-13  1.355035e-13  1.678965e-14      0
#>  [75,]  8.237816e-13  3.454984e-13  1.017291e-13  1.263146e-14      0
#>  [76,]  6.037749e-13  2.537402e-13  7.486386e-14  9.314683e-15      0
#>  [77,]  4.333222e-13  1.824642e-13  5.394067e-14  6.724674e-15      0
#>  [78,]  3.041063e-13  1.282973e-13  3.800014e-14  4.746484e-15      0
#>  [79,]  2.083695e-13  8.806967e-14  2.613345e-14  3.270313e-15      0
#>  [80,]  1.391385e-13  5.891350e-14  1.751310e-14  2.195515e-15      0
#>  [81,]  9.035442e-14  3.832378e-14  1.141223e-14  1.433179e-15      0
#>  [82,]  5.692115e-14  2.418362e-14  7.213641e-15  9.074394e-16      0
#>  [83,]  3.468734e-14  1.476132e-14  4.410291e-15  5.557012e-16      0
#>  [84,]  2.037829e-14  8.685754e-15  2.599184e-15  3.280202e-16      0
#>  [85,]  1.149510e-14  4.907018e-15  1.470666e-15  1.858859e-16      0
#>  [86,]  6.195920e-15  2.648842e-15  7.950595e-16  1.006423e-16      0
#>  [87,]  3.172499e-15  1.358246e-15  4.082722e-16  5.175596e-17      0
#>  [88,]  1.532069e-15  6.568458e-16  1.977173e-16  2.509956e-17      0
#>  [89,]  6.915990e-16  2.969135e-16  8.949586e-17  1.137673e-17      0
#>  [90,]  2.885506e-16  1.240427e-16  3.743853e-17  4.765508e-18      0
#>  [91,]  1.096624e-16  4.720237e-17  1.426493e-17  1.818106e-18      0
#>  [92,]  3.724113e-17  1.604983e-17  4.856442e-18  6.197418e-19      0
#>  [93,]  1.101066e-17  4.751018e-18  1.439333e-18  1.838998e-19      0
#>  [94,]  2.732546e-18  1.180462e-18  3.580456e-19  4.580055e-20      0
#>  [95,]  5.395623e-19  2.333580e-19  7.086086e-20  9.074793e-21      0
#>  [96,]  7.801614e-20  3.377913e-20  1.026870e-20  1.316526e-21      0
#>  [97,]  7.187574e-21  3.115414e-21  9.480966e-22  1.216849e-22      0
#>  [98,]  3.250561e-22  1.410419e-22  4.296767e-23  5.520559e-24      0
#>  [99,]  4.017654e-24  1.745044e-24  5.321620e-25  6.844306e-26      0
#> [100,]  2.094100e-27  9.104642e-28  2.779280e-28  3.578077e-29      0
#> [101,]  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00      0