This function generates the coordinates for a sphere in three-dimensional space.
Arguments
- radius
The radius of the sphere.
- resolution
The number of points used to approximate the surface of the sphere.
- num_noise
The number of additional noise dimensions to add to the coordinates.
- min_n
The minimum value for the random noise added to the coordinates.
- max_n
The maximum value for the random noise added to the coordinates.
Examples
# Generate coordinates for a sphere with radius 1 and resolution 20
set.seed(20240412)
sphere(
radius = 1, resolution = 20, num_noise = 3, min_n = -0.05,
max_n = 0.05
)
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.000000e+00 0.000000e+00 1.00000000 -0.0406208903 1.458899e-02
#> [2,] 0.000000e+00 0.000000e+00 1.00000000 -0.0069582161 -2.865623e-02
#> [3,] 0.000000e+00 0.000000e+00 1.00000000 0.0239614908 -2.609781e-02
#> [4,] 0.000000e+00 0.000000e+00 1.00000000 0.0143368074 -4.110739e-02
#> [5,] 0.000000e+00 0.000000e+00 1.00000000 0.0401831183 -4.965122e-02
#> [6,] 0.000000e+00 0.000000e+00 1.00000000 -0.0308282462 -3.251858e-02
#> [7,] 0.000000e+00 0.000000e+00 1.00000000 -0.0400570993 2.281042e-02
#> [8,] 0.000000e+00 0.000000e+00 1.00000000 0.0034441012 4.688578e-02
#> [9,] 0.000000e+00 0.000000e+00 1.00000000 -0.0147099345 -3.585914e-02
#> [10,] 0.000000e+00 0.000000e+00 1.00000000 -0.0058951876 4.046627e-02
#> [11,] 0.000000e+00 0.000000e+00 1.00000000 0.0061251915 -1.089824e-02
#> [12,] 0.000000e+00 0.000000e+00 1.00000000 0.0091990083 -3.413554e-02
#> [13,] 0.000000e+00 0.000000e+00 1.00000000 0.0437254337 -3.089505e-02
#> [14,] 0.000000e+00 0.000000e+00 1.00000000 0.0327753831 4.024651e-02
#> [15,] 0.000000e+00 0.000000e+00 1.00000000 -0.0151984228 -2.819042e-02
#> [16,] 0.000000e+00 0.000000e+00 1.00000000 -0.0098404858 -3.771454e-02
#> [17,] 0.000000e+00 0.000000e+00 1.00000000 0.0178843632 -4.630252e-03
#> [18,] 0.000000e+00 0.000000e+00 1.00000000 0.0031283391 -4.492376e-02
#> [19,] 0.000000e+00 0.000000e+00 1.00000000 -0.0498555169 1.361151e-02
#> [20,] 0.000000e+00 0.000000e+00 1.00000000 -0.0425508382 -2.761497e-02
#> [21,] 1.645946e-01 0.000000e+00 0.98636130 -0.0141356953 7.016805e-03
#> [22,] 1.556764e-01 5.344378e-02 0.98636130 -0.0399193364 7.230506e-03
#> [23,] 1.298883e-01 1.010961e-01 0.98636130 0.0008688590 1.352021e-02
#> [24,] 9.002471e-02 1.377931e-01 0.98636130 0.0469179725 -4.457019e-02
#> [25,] 4.040558e-02 1.595580e-01 0.98636130 -0.0100181968 -1.310034e-03
#> [26,] -1.359211e-02 1.640324e-01 0.98636130 -0.0411767531 -9.513795e-03
#> [27,] -6.611689e-02 1.507313e-01 0.98636130 0.0028839635 3.003845e-02
#> [28,] -1.114769e-01 1.210962e-01 0.98636130 0.0433840647 6.382821e-03
#> [29,] -1.447566e-01 7.833837e-02 0.98636130 0.0194841265 -2.444980e-02
#> [30,] -1.623497e-01 2.709138e-02 0.98636130 -0.0157354954 -2.677100e-02
#> [31,] -1.623497e-01 -2.709138e-02 0.98636130 -0.0148068666 4.704865e-02
#> [32,] -1.447566e-01 -7.833837e-02 0.98636130 0.0349434115 -2.961780e-02
#> [33,] -1.114769e-01 -1.210962e-01 0.98636130 0.0122341669 3.370171e-02
#> [34,] -6.611689e-02 -1.507313e-01 0.98636130 0.0403223421 1.654683e-02
#> [35,] -1.359211e-02 -1.640324e-01 0.98636130 -0.0133424654 1.833225e-02
#> [36,] 4.040558e-02 -1.595580e-01 0.98636130 0.0487433413 -3.866709e-03
#> [37,] 9.002471e-02 -1.377931e-01 0.98636130 -0.0158348253 -4.063287e-02
#> [38,] 1.298883e-01 -1.010961e-01 0.98636130 0.0289856836 3.401228e-02
#> [39,] 1.556764e-01 -5.344378e-02 0.98636130 -0.0336490937 4.455656e-03
#> [40,] 1.645946e-01 -4.031405e-17 0.98636130 0.0347434584 2.337754e-02
#> [41,] 3.246995e-01 0.000000e+00 0.94581724 -0.0409471453 6.600727e-03
#> [42,] 3.071064e-01 1.054297e-01 0.94581724 0.0256599021 7.430371e-03
#> [43,] 2.562335e-01 1.994345e-01 0.94581724 0.0340622700 -4.363294e-02
#> [44,] 1.775938e-01 2.718275e-01 0.94581724 -0.0019275298 4.190935e-02
#> [45,] 7.970901e-02 3.147638e-01 0.94581724 0.0060101570 3.425425e-02
#> [46,] -2.681347e-02 3.235905e-01 0.94581724 0.0051576530 -3.860183e-02
#> [47,] -1.304303e-01 2.973511e-01 0.94581724 0.0407851192 -7.435258e-03
#> [48,] -2.199130e-01 2.388892e-01 0.94581724 -0.0085904858 4.040416e-02
#> [49,] -2.855647e-01 1.545399e-01 0.94581724 -0.0135948996 -4.276738e-02
#> [50,] -3.202710e-01 5.344378e-02 0.94581724 -0.0081947034 2.994692e-02
#> [51,] -3.202710e-01 -5.344378e-02 0.94581724 -0.0145145064 -4.456985e-02
#> [52,] -2.855647e-01 -1.545399e-01 0.94581724 -0.0426104567 -1.082111e-02
#> [53,] -2.199130e-01 -2.388892e-01 0.94581724 -0.0043946581 -1.241861e-02
#> [54,] -1.304303e-01 -2.973511e-01 0.94581724 0.0314007990 -1.631652e-02
#> [55,] -2.681347e-02 -3.235905e-01 0.94581724 -0.0053969306 3.040836e-03
#> [56,] 7.970901e-02 -3.147638e-01 0.94581724 -0.0418217706 -4.027878e-02
#> [57,] 1.775938e-01 -2.718275e-01 0.94581724 0.0310165984 -9.351035e-03
#> [58,] 2.562335e-01 -1.994345e-01 0.94581724 -0.0383762233 -1.717753e-02
#> [59,] 3.071064e-01 -1.054297e-01 0.94581724 -0.0395184289 -7.135615e-03
#> [60,] 3.246995e-01 -7.952843e-17 0.94581724 -0.0488566692 -3.335375e-02
#> [61,] 4.759474e-01 0.000000e+00 0.87947375 0.0077576239 3.431115e-03
#> [62,] 4.501593e-01 1.545399e-01 0.87947375 0.0353640246 1.866506e-02
#> [63,] 3.755894e-01 2.923329e-01 0.87947375 0.0314732646 -2.138503e-02
#> [64,] 2.603185e-01 3.984472e-01 0.87947375 0.0346473052 4.667769e-02
#> [65,] 1.168382e-01 4.613835e-01 0.87947375 -0.0141555009 -3.253958e-02
#> [66,] -3.930342e-02 4.743218e-01 0.87947375 -0.0132494227 2.804652e-02
#> [67,] -1.911859e-01 4.358599e-01 0.87947375 -0.0247900630 9.009592e-03
#> [68,] -3.223504e-01 3.501659e-01 0.87947375 -0.0442713907 -2.988130e-02
#> [69,] -4.185832e-01 2.265259e-01 0.87947375 -0.0106764714 -7.058739e-03
#> [70,] -4.694561e-01 7.833837e-02 0.87947375 0.0438516971 1.708714e-02
#> [71,] -4.694561e-01 -7.833837e-02 0.87947375 0.0164436805 2.566097e-02
#> [72,] -4.185832e-01 -2.265259e-01 0.87947375 -0.0215097323 3.205063e-02
#> [73,] -3.223504e-01 -3.501659e-01 0.87947375 0.0085810695 2.594132e-02
#> [74,] -1.911859e-01 -4.358599e-01 0.87947375 -0.0252457969 -3.803132e-02
#> [75,] -3.930342e-02 -4.743218e-01 0.87947375 -0.0341419302 -4.379304e-02
#> [76,] 1.168382e-01 -4.613835e-01 0.87947375 -0.0403578342 1.434154e-02
#> [77,] 2.603185e-01 -3.984472e-01 0.87947375 -0.0207715337 4.449161e-03
#> [78,] 3.755894e-01 -2.923329e-01 0.87947375 0.0403564284 7.503827e-03
#> [79,] 4.501593e-01 -1.545399e-01 0.87947375 0.0309667719 4.656778e-02
#> [80,] 4.759474e-01 -1.165735e-16 0.87947375 0.0291593320 2.710841e-02
#> [81,] 6.142127e-01 0.000000e+00 0.78914051 0.0235926253 -2.600811e-02
#> [82,] 5.809330e-01 1.994345e-01 0.78914051 0.0388510874 3.284313e-02
#> [83,] 4.847001e-01 3.772573e-01 0.78914051 0.0394336176 4.479017e-02
#> [84,] 3.359425e-01 5.141983e-01 0.78914051 -0.0248468031 3.177405e-02
#> [85,] 1.507803e-01 5.954180e-01 0.78914051 -0.0471686648 -1.214109e-02
#> [86,] -5.072128e-02 6.121149e-01 0.78914051 -0.0356369173 2.545728e-03
#> [87,] -2.467264e-01 5.624796e-01 0.78914051 -0.0397483398 3.369623e-02
#> [88,] -4.159950e-01 4.518910e-01 0.78914051 0.0323190081 3.942831e-02
#> [89,] -5.401840e-01 2.923329e-01 0.78914051 0.0397418948 -1.072001e-02
#> [90,] -6.058357e-01 1.010961e-01 0.78914051 -0.0141661465 4.184796e-02
#> [91,] -6.058357e-01 -1.010961e-01 0.78914051 -0.0290247731 4.625760e-02
#> [92,] -5.401840e-01 -2.923329e-01 0.78914051 -0.0025848112 2.384936e-02
#> [93,] -4.159950e-01 -4.518910e-01 0.78914051 0.0070531712 2.029594e-02
#> [94,] -2.467264e-01 -5.624796e-01 0.78914051 0.0039477463 3.089043e-05
#> [95,] -5.072128e-02 -6.121149e-01 0.78914051 -0.0364015279 2.164460e-02
#> [96,] 1.507803e-01 -5.954180e-01 0.78914051 0.0314509333 -7.280862e-03
#> [97,] 3.359425e-01 -5.141983e-01 0.78914051 -0.0129274398 5.159603e-03
#> [98,] 4.847001e-01 -3.772573e-01 0.78914051 0.0155807688 -4.571919e-02
#> [99,] 5.809330e-01 -1.994345e-01 0.78914051 -0.0259864262 -4.371184e-02
#> [100,] 6.142127e-01 -1.504387e-16 0.78914051 0.0386686355 8.465952e-03
#> [101,] 7.357239e-01 0.000000e+00 0.67728157 -0.0494111540 -9.797570e-03
#> [102,] 6.958604e-01 2.388892e-01 0.67728157 -0.0095421034 2.422641e-02
#> [103,] 5.805895e-01 4.518910e-01 0.67728157 -0.0095423958 -3.277202e-02
#> [104,] 4.024028e-01 6.159234e-01 0.67728157 -0.0056648134 9.997107e-03
#> [105,] 1.806095e-01 7.132110e-01 0.67728157 -0.0361641475 3.069320e-02
#> [106,] -6.075560e-02 7.332110e-01 0.67728157 -0.0137938427 -1.476614e-02
#> [107,] -2.955369e-01 6.737563e-01 0.67728157 0.0227676261 1.839283e-02
#> [108,] -4.982922e-01 5.412897e-01 0.67728157 0.0486252397 -2.645821e-02
#> [109,] -6.470499e-01 3.501659e-01 0.67728157 -0.0374798555 -1.278195e-02
#> [110,] -7.256896e-01 1.210962e-01 0.67728157 -0.0060145900 4.227686e-02
#> [111,] -7.256896e-01 -1.210962e-01 0.67728157 0.0122375009 9.606105e-03
#> [112,] -6.470499e-01 -3.501659e-01 0.67728157 -0.0151320067 2.830282e-02
#> [113,] -4.982922e-01 -5.412897e-01 0.67728157 -0.0069745122 4.181241e-02
#> [114,] -2.955369e-01 -6.737563e-01 0.67728157 0.0119806817 -1.311135e-02
#> [115,] -6.075560e-02 -7.332110e-01 0.67728157 0.0425165671 -1.880957e-02
#> [116,] 1.806095e-01 -7.132110e-01 0.67728157 -0.0198855986 -1.712295e-02
#> [117,] 4.024028e-01 -6.159234e-01 0.67728157 0.0341541310 -7.884755e-03
#> [118,] 5.805895e-01 -4.518910e-01 0.67728157 0.0139019090 -4.200629e-02
#> [119,] 6.958604e-01 -2.388892e-01 0.67728157 0.0043720318 -2.877043e-02
#> [120,] 7.357239e-01 -1.802004e-16 0.67728157 -0.0362611223 -3.228527e-02
#> [121,] 8.371665e-01 0.000000e+00 0.54694816 -0.0091411981 -2.788319e-02
#> [122,] 7.918065e-01 2.718275e-01 0.54694816 0.0375122381 1.741983e-02
#> [123,] 6.606420e-01 5.141983e-01 0.54694816 -0.0205436346 -5.182130e-03
#> [124,] 4.578867e-01 7.008477e-01 0.54694816 0.0096704798 2.974713e-02
#> [125,] 2.055122e-01 8.115494e-01 0.54694816 -0.0074246488 -2.027644e-02
#> [126,] -6.913266e-02 8.343071e-01 0.54694816 -0.0395226781 -6.945097e-03
#> [127,] -3.362859e-01 7.666547e-01 0.54694816 0.0140160184 2.858230e-03
#> [128,] -5.669974e-01 6.159234e-01 0.54694816 0.0001349537 -4.814338e-02
#> [129,] -7.362659e-01 3.984472e-01 0.54694816 0.0395929786 1.638557e-02
#> [130,] -8.257486e-01 1.377931e-01 0.54694816 -0.0421812224 4.239687e-02
#> [131,] -8.257486e-01 -1.377931e-01 0.54694816 -0.0192060802 -2.032662e-02
#> [132,] -7.362659e-01 -3.984472e-01 0.54694816 0.0329963851 -4.524067e-03
#> [133,] -5.669974e-01 -6.159234e-01 0.54694816 -0.0441801412 -1.712918e-02
#> [134,] -3.362859e-01 -7.666547e-01 0.54694816 0.0359260298 -4.000003e-02
#> [135,] -6.913266e-02 -8.343071e-01 0.54694816 -0.0215506210 3.129462e-02
#> [136,] 2.055122e-01 -8.115494e-01 0.54694816 -0.0231140854 1.696542e-02
#> [137,] 4.578867e-01 -7.008477e-01 0.54694816 -0.0290469873 2.599024e-02
#> [138,] 6.606420e-01 -5.141983e-01 0.54694816 0.0346599014 -2.685868e-02
#> [139,] 7.918065e-01 -2.718275e-01 0.54694816 -0.0245407152 -3.175927e-02
#> [140,] 8.371665e-01 -2.050466e-16 0.54694816 0.0438232428 2.017552e-02
#> [141,] 9.157733e-01 0.000000e+00 0.40169542 0.0190370204 -1.430562e-02
#> [142,] 8.661542e-01 2.973511e-01 0.40169542 -0.0157330000 4.388218e-02
#> [143,] 7.226738e-01 5.624796e-01 0.40169542 0.0136145061 -4.704672e-02
#> [144,] 5.008805e-01 7.666547e-01 0.40169542 -0.0211817049 4.432870e-03
#> [145,] 2.248091e-01 8.877509e-01 0.40169542 -0.0296529576 3.661782e-02
#> [146,] -7.562396e-02 9.126455e-01 0.40169542 -0.0385897858 -8.528756e-03
#> [147,] -3.678620e-01 8.386408e-01 0.40169542 -0.0114352393 7.837044e-03
#> [148,] -6.202364e-01 6.737563e-01 0.40169542 0.0394679684 3.644674e-02
#> [149,] -8.053986e-01 4.358599e-01 0.40169542 -0.0379028531 -3.336327e-02
#> [150,] -9.032834e-01 1.507313e-01 0.40169542 0.0086608654 1.907975e-02
#> [151,] -9.032834e-01 -1.507313e-01 0.40169542 0.0397832549 1.471168e-03
#> [152,] -8.053986e-01 -4.358599e-01 0.40169542 -0.0389684510 1.342903e-02
#> [153,] -6.202364e-01 -6.737563e-01 0.40169542 -0.0107839450 -3.520064e-02
#> [154,] -3.678620e-01 -8.386408e-01 0.40169542 0.0229901668 2.381260e-02
#> [155,] -7.562396e-02 -9.126455e-01 0.40169542 -0.0032016000 2.661871e-02
#> [156,] 2.248091e-01 -8.877509e-01 0.40169542 -0.0188916723 -3.555762e-02
#> [157,] 5.008805e-01 -7.666547e-01 0.40169542 -0.0406173033 -3.595247e-02
#> [158,] 7.226738e-01 -5.624796e-01 0.40169542 0.0218278701 1.364102e-02
#> [159,] 8.661542e-01 -2.973511e-01 0.40169542 -0.0178925602 -4.875386e-02
#> [160,] 9.157733e-01 -2.242998e-16 0.40169542 0.0418970450 -2.493871e-02
#> [161,] 9.694003e-01 0.000000e+00 0.24548549 -0.0289520095 4.896922e-03
#> [162,] 9.168755e-01 3.147638e-01 0.24548549 0.0182308341 3.970057e-02
#> [163,] 7.649930e-01 5.954180e-01 0.24548549 0.0420673159 -8.724967e-03
#> [164,] 5.302117e-01 8.115494e-01 0.24548549 -0.0215416480 -1.597159e-02
#> [165,] 2.379737e-01 9.397369e-01 0.24548549 -0.0032879685 2.019766e-02
#> [166,] -8.005244e-02 9.660893e-01 0.24548549 0.0136172979 -9.139048e-03
#> [167,] -3.894037e-01 8.877509e-01 0.24548549 -0.0128606171 -3.028368e-02
#> [168,] -6.565569e-01 7.132110e-01 0.24548549 0.0406865353 -1.788580e-02
#> [169,] -8.525621e-01 4.613835e-01 0.24548549 -0.0056567913 4.290069e-02
#> [170,] -9.561789e-01 1.595580e-01 0.24548549 0.0206802091 2.202454e-02
#> [171,] -9.561789e-01 -1.595580e-01 0.24548549 0.0293639539 -6.666061e-03
#> [172,] -8.525621e-01 -4.613835e-01 0.24548549 0.0099463716 -4.398104e-02
#> [173,] -6.565569e-01 -7.132110e-01 0.24548549 0.0216768384 -2.984306e-02
#> [174,] -3.894037e-01 -8.877509e-01 0.24548549 0.0126717287 -4.668091e-03
#> [175,] -8.005244e-02 -9.660893e-01 0.24548549 0.0137911398 1.147877e-02
#> [176,] 2.379737e-01 -9.397369e-01 0.24548549 -0.0201560635 2.931105e-02
#> [177,] 5.302117e-01 -8.115494e-01 0.24548549 -0.0474466317 3.496157e-02
#> [178,] 7.649930e-01 -5.954180e-01 0.24548549 0.0034467781 -5.097572e-04
#> [179,] 9.168755e-01 -3.147638e-01 0.24548549 -0.0451321898 1.107564e-02
#> [180,] 9.694003e-01 -2.374346e-16 0.24548549 0.0449525188 -3.444004e-02
#> [181,] 9.965845e-01 0.000000e+00 0.08257935 0.0301143471 -1.721028e-03
#> [182,] 9.425868e-01 3.235905e-01 0.08257935 0.0015380326 -5.106072e-03
#> [183,] 7.864452e-01 6.121149e-01 0.08257935 0.0313923658 9.471303e-03
#> [184,] 5.450801e-01 8.343071e-01 0.08257935 0.0142799772 -2.284583e-02
#> [185,] 2.446470e-01 9.660893e-01 0.08257935 -0.0342363236 3.711272e-02
#> [186,] -8.229730e-02 9.931807e-01 0.08257935 -0.0437694831 -4.431580e-02
#> [187,] -4.003234e-01 9.126455e-01 0.08257935 0.0163590239 -1.383906e-02
#> [188,] -6.749683e-01 7.332110e-01 0.08257935 0.0215670073 3.990231e-02
#> [189,] -8.764699e-01 4.743218e-01 0.08257935 0.0312772650 -1.393104e-02
#> [190,] -9.829924e-01 1.640324e-01 0.08257935 0.0404797181 4.668946e-03
#> [191,] -9.829924e-01 -1.640324e-01 0.08257935 0.0197967365 -1.337010e-02
#> [192,] -8.764699e-01 -4.743218e-01 0.08257935 -0.0082434738 3.080920e-02
#> [193,] -6.749683e-01 -7.332110e-01 0.08257935 0.0110442976 -1.190440e-02
#> [194,] -4.003234e-01 -9.126455e-01 0.08257935 0.0086618911 -2.176235e-02
#> [195,] -8.229730e-02 -9.931807e-01 0.08257935 0.0378016111 -3.808644e-03
#> [196,] 2.446470e-01 -9.660893e-01 0.08257935 0.0267662517 2.022534e-02
#> [197,] 5.450801e-01 -8.343071e-01 0.08257935 0.0202962862 3.642897e-03
#> [198,] 7.864452e-01 -6.121149e-01 0.08257935 -0.0326327926 -5.561239e-03
#> [199,] 9.425868e-01 -3.235905e-01 0.08257935 -0.0398299208 -2.585751e-02
#> [200,] 9.965845e-01 -2.440928e-16 0.08257935 0.0465680600 1.580620e-02
#> [201,] 9.965845e-01 0.000000e+00 -0.08257935 0.0468112729 -1.216545e-02
#> [202,] 9.425868e-01 3.235905e-01 -0.08257935 -0.0124962581 2.438039e-02
#> [203,] 7.864452e-01 6.121149e-01 -0.08257935 -0.0390363060 -3.692567e-02
#> [204,] 5.450801e-01 8.343071e-01 -0.08257935 0.0121142437 1.229900e-02
#> [205,] 2.446470e-01 9.660893e-01 -0.08257935 -0.0077770323 -4.542733e-02
#> [206,] -8.229730e-02 9.931807e-01 -0.08257935 -0.0433116644 -1.067751e-02
#> [207,] -4.003234e-01 9.126455e-01 -0.08257935 0.0096181576 3.728084e-02
#> [208,] -6.749683e-01 7.332110e-01 -0.08257935 0.0404465381 4.634579e-02
#> [209,] -8.764699e-01 4.743218e-01 -0.08257935 -0.0497450735 3.505162e-02
#> [210,] -9.829924e-01 1.640324e-01 -0.08257935 -0.0152653055 -4.885832e-02
#> [211,] -9.829924e-01 -1.640324e-01 -0.08257935 0.0365711479 -4.737772e-02
#> [212,] -8.764699e-01 -4.743218e-01 -0.08257935 0.0159191196 1.044061e-02
#> [213,] -6.749683e-01 -7.332110e-01 -0.08257935 -0.0314435686 4.555401e-02
#> [214,] -4.003234e-01 -9.126455e-01 -0.08257935 0.0449404774 1.465659e-02
#> [215,] -8.229730e-02 -9.931807e-01 -0.08257935 -0.0289388946 -1.518818e-02
#> [216,] 2.446470e-01 -9.660893e-01 -0.08257935 0.0135954321 -9.794076e-03
#> [217,] 5.450801e-01 -8.343071e-01 -0.08257935 0.0023689911 -2.090481e-03
#> [218,] 7.864452e-01 -6.121149e-01 -0.08257935 -0.0305722723 -1.672968e-02
#> [219,] 9.425868e-01 -3.235905e-01 -0.08257935 -0.0184369768 1.053083e-02
#> [220,] 9.965845e-01 -2.440928e-16 -0.08257935 0.0459533107 -2.569068e-02
#> [221,] 9.694003e-01 0.000000e+00 -0.24548549 0.0348061180 -1.951988e-02
#> [222,] 9.168755e-01 3.147638e-01 -0.24548549 0.0042005939 -2.975835e-02
#> [223,] 7.649930e-01 5.954180e-01 -0.24548549 -0.0309299566 -1.109935e-02
#> [224,] 5.302117e-01 8.115494e-01 -0.24548549 -0.0233263229 1.491552e-02
#> [225,] 2.379737e-01 9.397369e-01 -0.24548549 0.0388561925 -1.618895e-02
#> [226,] -8.005244e-02 9.660893e-01 -0.24548549 0.0360052565 -4.736626e-02
#> [227,] -3.894037e-01 8.877509e-01 -0.24548549 -0.0055477833 2.745094e-02
#> [228,] -6.565569e-01 7.132110e-01 -0.24548549 0.0107978261 4.158819e-03
#> [229,] -8.525621e-01 4.613835e-01 -0.24548549 0.0296354921 -3.366253e-02
#> [230,] -9.561789e-01 1.595580e-01 -0.24548549 0.0099678486 3.562754e-02
#> [231,] -9.561789e-01 -1.595580e-01 -0.24548549 -0.0064570792 2.016836e-02
#> [232,] -8.525621e-01 -4.613835e-01 -0.24548549 -0.0309545504 3.974189e-03
#> [233,] -6.565569e-01 -7.132110e-01 -0.24548549 -0.0250889844 1.890066e-02
#> [234,] -3.894037e-01 -8.877509e-01 -0.24548549 0.0319340720 3.394537e-02
#> [235,] -8.005244e-02 -9.660893e-01 -0.24548549 -0.0354034658 -3.954843e-02
#> [236,] 2.379737e-01 -9.397369e-01 -0.24548549 -0.0428596250 3.515784e-02
#> [237,] 5.302117e-01 -8.115494e-01 -0.24548549 -0.0344285349 1.184551e-02
#> [238,] 7.649930e-01 -5.954180e-01 -0.24548549 0.0341629610 -2.892848e-03
#> [239,] 9.168755e-01 -3.147638e-01 -0.24548549 -0.0454066350 -4.160459e-02
#> [240,] 9.694003e-01 -2.374346e-16 -0.24548549 0.0122605025 1.335511e-02
#> [241,] 9.157733e-01 0.000000e+00 -0.40169542 0.0022526822 -3.629767e-02
#> [242,] 8.661542e-01 2.973511e-01 -0.40169542 0.0048651400 -3.141726e-02
#> [243,] 7.226738e-01 5.624796e-01 -0.40169542 0.0371045142 -1.774895e-02
#> [244,] 5.008805e-01 7.666547e-01 -0.40169542 0.0191890407 8.120899e-03
#> [245,] 2.248091e-01 8.877509e-01 -0.40169542 0.0169471913 -1.586619e-02
#> [246,] -7.562396e-02 9.126455e-01 -0.40169542 0.0234745285 -9.185939e-03
#> [247,] -3.678620e-01 8.386408e-01 -0.40169542 -0.0464605047 2.909539e-02
#> [248,] -6.202364e-01 6.737563e-01 -0.40169542 -0.0140471952 -2.053609e-02
#> [249,] -8.053986e-01 4.358599e-01 -0.40169542 -0.0027744060 8.063634e-03
#> [250,] -9.032834e-01 1.507313e-01 -0.40169542 0.0219781587 -1.553382e-02
#> [251,] -9.032834e-01 -1.507313e-01 -0.40169542 0.0014598926 -2.602863e-02
#> [252,] -8.053986e-01 -4.358599e-01 -0.40169542 -0.0326802443 4.460973e-02
#> [253,] -6.202364e-01 -6.737563e-01 -0.40169542 -0.0069526496 -4.520893e-02
#> [254,] -3.678620e-01 -8.386408e-01 -0.40169542 0.0490568970 -2.327186e-03
#> [255,] -7.562396e-02 -9.126455e-01 -0.40169542 -0.0374291364 3.853751e-02
#> [256,] 2.248091e-01 -8.877509e-01 -0.40169542 0.0401866821 7.380333e-03
#> [257,] 5.008805e-01 -7.666547e-01 -0.40169542 0.0378239532 2.232958e-02
#> [258,] 7.226738e-01 -5.624796e-01 -0.40169542 -0.0138014233 6.065673e-03
#> [259,] 8.661542e-01 -2.973511e-01 -0.40169542 0.0141808003 1.259044e-02
#> [260,] 9.157733e-01 -2.242998e-16 -0.40169542 0.0161106778 -4.332718e-02
#> [261,] 8.371665e-01 0.000000e+00 -0.54694816 0.0456993452 -2.363263e-02
#> [262,] 7.918065e-01 2.718275e-01 -0.54694816 -0.0172811388 2.158810e-02
#> [263,] 6.606420e-01 5.141983e-01 -0.54694816 -0.0222209299 1.234432e-03
#> [264,] 4.578867e-01 7.008477e-01 -0.54694816 0.0488013647 -3.786748e-02
#> [265,] 2.055122e-01 8.115494e-01 -0.54694816 0.0074586672 5.989409e-03
#> [266,] -6.913266e-02 8.343071e-01 -0.54694816 -0.0334256714 -4.697274e-02
#> [267,] -3.362859e-01 7.666547e-01 -0.54694816 -0.0355602939 4.611238e-02
#> [268,] -5.669974e-01 6.159234e-01 -0.54694816 0.0466993265 -5.639224e-04
#> [269,] -7.362659e-01 3.984472e-01 -0.54694816 0.0212277140 3.845493e-02
#> [270,] -8.257486e-01 1.377931e-01 -0.54694816 0.0287382015 8.162953e-03
#> [271,] -8.257486e-01 -1.377931e-01 -0.54694816 -0.0488130579 -4.392665e-02
#> [272,] -7.362659e-01 -3.984472e-01 -0.54694816 -0.0254148313 -2.709454e-02
#> [273,] -5.669974e-01 -6.159234e-01 -0.54694816 -0.0449607738 1.836716e-02
#> [274,] -3.362859e-01 -7.666547e-01 -0.54694816 -0.0329215669 -6.381873e-03
#> [275,] -6.913266e-02 -8.343071e-01 -0.54694816 0.0040266522 1.990309e-02
#> [276,] 2.055122e-01 -8.115494e-01 -0.54694816 0.0142846406 -2.730781e-02
#> [277,] 4.578867e-01 -7.008477e-01 -0.54694816 -0.0329637585 -4.226218e-02
#> [278,] 6.606420e-01 -5.141983e-01 -0.54694816 0.0494644662 -4.664999e-02
#> [279,] 7.918065e-01 -2.718275e-01 -0.54694816 -0.0360697758 -2.116798e-02
#> [280,] 8.371665e-01 -2.050466e-16 -0.54694816 0.0202892990 4.309416e-02
#> [281,] 7.357239e-01 0.000000e+00 -0.67728157 0.0366330932 1.920677e-02
#> [282,] 6.958604e-01 2.388892e-01 -0.67728157 -0.0299145314 2.242898e-02
#> [283,] 5.805895e-01 4.518910e-01 -0.67728157 0.0356086889 -4.191774e-02
#> [284,] 4.024028e-01 6.159234e-01 -0.67728157 0.0307684459 -3.674067e-03
#> [285,] 1.806095e-01 7.132110e-01 -0.67728157 0.0226531942 4.443457e-02
#> [286,] -6.075560e-02 7.332110e-01 -0.67728157 0.0148863554 1.860181e-02
#> [287,] -2.955369e-01 6.737563e-01 -0.67728157 -0.0034758566 -2.175452e-02
#> [288,] -4.982922e-01 5.412897e-01 -0.67728157 0.0215064450 2.180254e-02
#> [289,] -6.470499e-01 3.501659e-01 -0.67728157 0.0319374689 -4.092405e-02
#> [290,] -7.256896e-01 1.210962e-01 -0.67728157 -0.0371603101 1.156094e-02
#> [291,] -7.256896e-01 -1.210962e-01 -0.67728157 0.0498017874 -4.391131e-02
#> [292,] -6.470499e-01 -3.501659e-01 -0.67728157 0.0127720742 -3.421685e-02
#> [293,] -4.982922e-01 -5.412897e-01 -0.67728157 0.0058777411 -4.220810e-02
#> [294,] -2.955369e-01 -6.737563e-01 -0.67728157 0.0257612543 4.022145e-02
#> [295,] -6.075560e-02 -7.332110e-01 -0.67728157 0.0273422876 -4.296581e-02
#> [296,] 1.806095e-01 -7.132110e-01 -0.67728157 -0.0353921735 4.524026e-02
#> [297,] 4.024028e-01 -6.159234e-01 -0.67728157 0.0180608628 2.511152e-02
#> [298,] 5.805895e-01 -4.518910e-01 -0.67728157 -0.0044484145 2.906693e-02
#> [299,] 6.958604e-01 -2.388892e-01 -0.67728157 -0.0471473908 -2.489058e-03
#> [300,] 7.357239e-01 -1.802004e-16 -0.67728157 -0.0179879901 -1.890632e-02
#> [301,] 6.142127e-01 0.000000e+00 -0.78914051 0.0397026339 -2.927220e-02
#> [302,] 5.809330e-01 1.994345e-01 -0.78914051 -0.0290763175 -4.092765e-02
#> [303,] 4.847001e-01 3.772573e-01 -0.78914051 -0.0422360181 -3.048572e-02
#> [304,] 3.359425e-01 5.141983e-01 -0.78914051 0.0214310022 -3.307067e-02
#> [305,] 1.507803e-01 5.954180e-01 -0.78914051 0.0499433291 -3.749385e-02
#> [306,] -5.072128e-02 6.121149e-01 -0.78914051 0.0356851794 3.411267e-02
#> [307,] -2.467264e-01 5.624796e-01 -0.78914051 -0.0015637302 3.205123e-02
#> [308,] -4.159950e-01 4.518910e-01 -0.78914051 0.0123396746 -3.857820e-02
#> [309,] -5.401840e-01 2.923329e-01 -0.78914051 0.0284339315 2.676152e-02
#> [310,] -6.058357e-01 1.010961e-01 -0.78914051 0.0350829806 -2.005807e-02
#> [311,] -6.058357e-01 -1.010961e-01 -0.78914051 0.0353439124 3.963579e-02
#> [312,] -5.401840e-01 -2.923329e-01 -0.78914051 -0.0423142502 4.464460e-02
#> [313,] -4.159950e-01 -4.518910e-01 -0.78914051 0.0051962465 -3.259540e-02
#> [314,] -2.467264e-01 -5.624796e-01 -0.78914051 0.0389469245 -4.315758e-02
#> [315,] -5.072128e-02 -6.121149e-01 -0.78914051 0.0086575911 4.323491e-02
#> [316,] 1.507803e-01 -5.954180e-01 -0.78914051 -0.0232040592 1.448548e-02
#> [317,] 3.359425e-01 -5.141983e-01 -0.78914051 0.0245691278 -2.217300e-02
#> [318,] 4.847001e-01 -3.772573e-01 -0.78914051 0.0315889175 1.027064e-02
#> [319,] 5.809330e-01 -1.994345e-01 -0.78914051 -0.0227344875 -4.496821e-02
#> [320,] 6.142127e-01 -1.504387e-16 -0.78914051 0.0366494890 -2.655916e-02
#> [321,] 4.759474e-01 0.000000e+00 -0.87947375 -0.0157848667 8.054416e-03
#> [322,] 4.501593e-01 1.545399e-01 -0.87947375 -0.0070135517 4.392374e-02
#> [323,] 3.755894e-01 2.923329e-01 -0.87947375 -0.0208199039 2.359525e-02
#> [324,] 2.603185e-01 3.984472e-01 -0.87947375 0.0189224581 1.092390e-02
#> [325,] 1.168382e-01 4.613835e-01 -0.87947375 -0.0338216087 -4.630102e-02
#> [326,] -3.930342e-02 4.743218e-01 -0.87947375 0.0460992394 -2.662198e-02
#> [327,] -1.911859e-01 4.358599e-01 -0.87947375 -0.0447378346 4.263518e-03
#> [328,] -3.223504e-01 3.501659e-01 -0.87947375 -0.0272497393 2.611584e-02
#> [329,] -4.185832e-01 2.265259e-01 -0.87947375 0.0160971409 -4.355451e-02
#> [330,] -4.694561e-01 7.833837e-02 -0.87947375 -0.0464448324 1.124803e-02
#> [331,] -4.694561e-01 -7.833837e-02 -0.87947375 -0.0179349351 2.867090e-02
#> [332,] -4.185832e-01 -2.265259e-01 -0.87947375 0.0207382537 -1.485437e-02
#> [333,] -3.223504e-01 -3.501659e-01 -0.87947375 -0.0037443788 -4.124495e-02
#> [334,] -1.911859e-01 -4.358599e-01 -0.87947375 0.0118583800 3.849647e-02
#> [335,] -3.930342e-02 -4.743218e-01 -0.87947375 -0.0063740385 4.035356e-02
#> [336,] 1.168382e-01 -4.613835e-01 -0.87947375 0.0297865495 -4.438101e-02
#> [337,] 2.603185e-01 -3.984472e-01 -0.87947375 0.0433482581 -1.914029e-02
#> [338,] 3.755894e-01 -2.923329e-01 -0.87947375 0.0163532625 8.827151e-03
#> [339,] 4.501593e-01 -1.545399e-01 -0.87947375 -0.0359919606 -6.906394e-03
#> [340,] 4.759474e-01 -1.165735e-16 -0.87947375 0.0370901504 2.500496e-02
#> [341,] 3.246995e-01 0.000000e+00 -0.94581724 0.0496382012 -3.486415e-02
#> [342,] 3.071064e-01 1.054297e-01 -0.94581724 -0.0114451926 -3.207366e-02
#> [343,] 2.562335e-01 1.994345e-01 -0.94581724 0.0157686300 -1.476420e-02
#> [344,] 1.775938e-01 2.718275e-01 -0.94581724 0.0482725061 1.487132e-03
#> [345,] 7.970901e-02 3.147638e-01 -0.94581724 -0.0417446218 3.114883e-02
#> [346,] -2.681347e-02 3.235905e-01 -0.94581724 -0.0490760001 -3.930624e-02
#> [347,] -1.304303e-01 2.973511e-01 -0.94581724 0.0143416769 1.292091e-02
#> [348,] -2.199130e-01 2.388892e-01 -0.94581724 0.0389693632 3.438110e-02
#> [349,] -2.855647e-01 1.545399e-01 -0.94581724 0.0050521928 -3.673330e-02
#> [350,] -3.202710e-01 5.344378e-02 -0.94581724 0.0338490285 7.785790e-03
#> [351,] -3.202710e-01 -5.344378e-02 -0.94581724 -0.0007207744 -3.775987e-02
#> [352,] -2.855647e-01 -1.545399e-01 -0.94581724 -0.0358561296 2.817780e-02
#> [353,] -2.199130e-01 -2.388892e-01 -0.94581724 0.0343432767 -1.064854e-02
#> [354,] -1.304303e-01 -2.973511e-01 -0.94581724 -0.0380912595 -4.422468e-02
#> [355,] -2.681347e-02 -3.235905e-01 -0.94581724 0.0017651984 -4.409485e-03
#> [356,] 7.970901e-02 -3.147638e-01 -0.94581724 -0.0271230818 -2.765841e-02
#> [357,] 1.775938e-01 -2.718275e-01 -0.94581724 0.0153674109 -6.641598e-03
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#> [388,] 3.107307e-02
#> [389,] 2.983059e-02
#> [390,] 3.587464e-03
#> [391,] -3.662836e-02
#> [392,] 2.557130e-02
#> [393,] 4.820601e-02
#> [394,] 4.970583e-02
#> [395,] -1.212139e-02
#> [396,] -3.294325e-02
#> [397,] -1.258265e-02
#> [398,] 1.569915e-04
#> [399,] 1.541384e-02
#> [400,] -3.356151e-02