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This function returns some made-up data to test arrow functionality with.

Usage

whirlpool(n = 5, detail = 100)

Arguments

n

The number of streams in the whirlpool.

detail

The number of points per stream.

Value

A data.frame

Examples

whirlpool()
#>                 x            y group        arc
#> 1    3.184082e-17 -0.260000000     1 0.00000000
#> 2    8.566542e-03 -0.269864066     1 0.01306466
#> 3    1.775870e-02 -0.279436269     1 0.02633579
#> 4    2.756625e-02 -0.288686858     1 0.03981769
#> 5    3.797774e-02 -0.297586444     1 0.05351446
#> 6    4.898043e-02 -0.306106055     1 0.06743003
#> 7    6.056040e-02 -0.314217183     1 0.08156814
#> 8    7.270248e-02 -0.321891830     1 0.09593234
#> 9    8.539032e-02 -0.329102558     1 0.11052603
#> 10   9.860639e-02 -0.335822541     1 0.12535246
#> 11   1.123320e-01 -0.342025602     1 0.14041470
#> 12   1.265475e-01 -0.347686270     1 0.15571572
#> 13   1.412317e-01 -0.352779815     1 0.17125832
#> 14   1.563629e-01 -0.357282298     1 0.18704517
#> 15   1.719180e-01 -0.361170615     1 0.20307885
#> 16   1.878729e-01 -0.364422534     1 0.21936179
#> 17   2.042026e-01 -0.367016738     1 0.23589632
#> 18   2.208813e-01 -0.368932868     1 0.25268468
#> 19   2.378820e-01 -0.370151554     1 0.26972898
#> 20   2.551769e-01 -0.370654462     1 0.28703127
#> 21   2.727376e-01 -0.370424318     1 0.30459349
#> 22   2.905347e-01 -0.369444955     1 0.32241749
#> 23   3.085381e-01 -0.367701333     1 0.34050506
#> 24   3.267168e-01 -0.365179580     1 0.35885789
#> 25   3.450395e-01 -0.361867019     1 0.37747762
#> 26   3.634740e-01 -0.357752193     1 0.39636580
#> 27   3.819877e-01 -0.352824894     1 0.41552393
#> 28   4.005473e-01 -0.347076189     1 0.43495344
#> 29   4.191191e-01 -0.340498440     1 0.45465570
#> 30   4.376690e-01 -0.333085328     1 0.47463203
#> 31   4.561625e-01 -0.324831869     1 0.49488370
#> 32   4.745648e-01 -0.315734436     1 0.51541190
#> 33   4.928407e-01 -0.305790771     1 0.53621782
#> 34   5.109550e-01 -0.295000000     1 0.55730256
#> 35   5.288720e-01 -0.283362645     1 0.57866721
#> 36   5.465562e-01 -0.270880634     1 0.60031278
#> 37   5.639718e-01 -0.257557308     1 0.62224029
#> 38   5.810832e-01 -0.243397429     1 0.64445067
#> 39   5.978546e-01 -0.228407182     1 0.66694485
#> 40   6.142505e-01 -0.212594176     1 0.68972372
#> 41   6.302355e-01 -0.195967448     1 0.71278812
#> 42   6.457742e-01 -0.178537455     1 0.73613888
#> 43   6.608319e-01 -0.160316076     1 0.75977678
#> 44   6.753737e-01 -0.141316601     1 0.78370260
#> 45   6.893654e-01 -0.121553724     1 0.80791706
#> 46   7.027732e-01 -0.101043535     1 0.83242087
#> 47   7.155637e-01 -0.079803504     1 0.85721472
#> 48   7.277040e-01 -0.057852469     1 0.88229927
#> 49   7.391618e-01 -0.035210618     1 0.90767516
#> 50   7.499056e-01 -0.011899473     1 0.93334300
#> 51   7.599043e-01  0.012058133     1 0.95930338
#> 52   7.691279e-01  0.036638075     1 0.98555689
#> 53   7.775467e-01  0.061814966     1 1.01210408
#> 54   7.851324e-01  0.087562178     1 1.03894549
#> 55   7.918572e-01  0.113851871     1 1.06608164
#> 56   7.976943e-01  0.140655024     1 1.09351303
#> 57   8.026180e-01  0.167941468     1 1.12124015
#> 58   8.066036e-01  0.195679916     1 1.14926347
#> 59   8.096274e-01  0.223838003     1 1.17758345
#> 60   8.116669e-01  0.252382319     1 1.20620053
#> 61   8.127007e-01  0.281278448     1 1.23511515
#> 62   8.127086e-01  0.310491013     1 1.26432771
#> 63   8.116718e-01  0.339983711     1 1.29383863
#> 64   8.095725e-01  0.369719362     1 1.32364829
#> 65   8.063944e-01  0.399659951     1 1.35375708
#> 66   8.021226e-01  0.429766678     1 1.38416536
#> 67   7.967434e-01  0.460000000     1 1.41487350
#> 68   7.902446e-01  0.490319685     1 1.44588183
#> 69   7.826157e-01  0.520684860     1 1.47719070
#> 70   7.738472e-01  0.551054064     1 1.50880043
#> 71   7.639314e-01  0.581385300     1 1.54071135
#> 72   7.528621e-01  0.611636087     1 1.57292376
#> 73   7.406346e-01  0.641763519     1 1.60543797
#> 74   7.272458e-01  0.671724317     1 1.63825426
#> 75   7.126942e-01  0.701474888     1 1.67137293
#> 76   6.969798e-01  0.730971378     1 1.70479424
#> 77   6.801044e-01  0.760169739     1 1.73851848
#> 78   6.620712e-01  0.789025776     1 1.77254590
#> 79   6.428853e-01  0.817495219     1 1.80687675
#> 80   6.225533e-01  0.845533770     1 1.84151129
#> 81   6.010835e-01  0.873097176     1 1.87644976
#> 82   5.784857e-01  0.900141280     1 1.91169240
#> 83   5.547716e-01  0.926622086     1 1.94723943
#> 84   5.299544e-01  0.952495821     1 1.98309107
#> 85   5.040492e-01  0.977718994     1 2.01924756
#> 86   4.770724e-01  1.002248457     1 2.05570909
#> 87   4.490422e-01  1.026041472     1 2.09247588
#> 88   4.199786e-01  1.049055764     1 2.12954814
#> 89   3.899030e-01  1.071249588     1 2.16692605
#> 90   3.588385e-01  1.092581785     1 2.20460981
#> 91   3.268098e-01  1.113011849     1 2.24259961
#> 92   2.938431e-01  1.132499981     1 2.28089563
#> 93   2.599664e-01  1.151007149     1 2.31949806
#> 94   2.252090e-01  1.168495150     1 2.35840706
#> 95   1.896017e-01  1.184926666     1 2.39762281
#> 96   1.531769e-01  1.200265324     1 2.43714547
#> 97   1.159684e-01  1.214475746     1 2.47697521
#> 98   7.801142e-02  1.227523612     1 2.51711219
#> 99   3.934264e-02  1.239375713     1 2.55755656
#> 100  0.000000e+00  1.250000000     1 2.59830848
#> 101 -2.472747e-01 -0.080344419     2 0.00000000
#> 102 -2.540088e-01 -0.091539848     2 0.01306466
#> 103 -2.602719e-01 -0.103240081     2 0.02633579
#> 104 -2.660391e-01 -0.115426209     2 0.03981769
#> 105 -2.712858e-01 -0.128078242     2 0.05351446
#> 106 -2.759884e-01 -0.141175133     2 0.06743003
#> 107 -2.801241e-01 -0.154694811     2 0.08156814
#> 108 -2.836710e-01 -0.168614209     2 0.09593234
#> 109 -2.866081e-01 -0.182909300     2 0.11052603
#> 110 -2.889152e-01 -0.197555127     2 0.12535246
#> 111 -2.905732e-01 -0.212525843     2 0.14041470
#> 112 -2.915640e-01 -0.227794746     2 0.15571572
#> 113 -2.918705e-01 -0.243334318     2 0.17125832
#> 114 -2.914769e-01 -0.259116265     2 0.18704517
#> 115 -2.903681e-01 -0.275111559     2 0.20307885
#> 116 -2.885305e-01 -0.291290477     2 0.21936179
#> 117 -2.859516e-01 -0.307622650     2 0.23589632
#> 118 -2.826199e-01 -0.324077105     2 0.25268468
#> 119 -2.785255e-01 -0.340622309     2 0.26972898
#> 120 -2.736593e-01 -0.357226218     2 0.28703127
#> 121 -2.680139e-01 -0.373856326     2 0.30459349
#> 122 -2.615829e-01 -0.390479711     2 0.32241749
#> 123 -2.543612e-01 -0.407063086     2 0.34050506
#> 124 -2.463454e-01 -0.423572848     2 0.35885789
#> 125 -2.375329e-01 -0.439975129     2 0.37747762
#> 126 -2.279229e-01 -0.456235850     2 0.39636580
#> 127 -2.175157e-01 -0.472320769     2 0.41552393
#> 128 -2.063132e-01 -0.488195536     2 0.43495344
#> 129 -1.943183e-01 -0.503825747     2 0.45465570
#> 130 -1.815358e-01 -0.519176993     2 0.47463203
#> 131 -1.679715e-01 -0.534214918     2 0.49488370
#> 132 -1.536327e-01 -0.548905268     2 0.51541190
#> 133 -1.385281e-01 -0.563213951     2 0.53621782
#> 134 -1.226679e-01 -0.577107084     2 0.55730256
#> 135 -1.060634e-01 -0.590551052     2 0.57866721
#> 136 -8.872764e-02 -0.603512557     2 0.60031278
#> 137 -7.067467e-02 -0.615958676     2 0.62224029
#> 138 -5.192013e-02 -0.627856911     2 0.64445067
#> 139 -3.248090e-02 -0.639175243     2 0.66694485
#> 140 -1.237522e-02 -0.649882185     2 0.68972372
#> 141  8.377355e-03 -0.659946831     2 0.71278812
#> 142  2.975601e-02 -0.669338913     2 0.73613888
#> 143  5.173863e-02 -0.678028845     2 0.75977678
#> 144  7.430187e-02 -0.685987778     2 0.78370260
#> 145  9.742117e-02 -0.693187648     2 0.80791706
#> 146  1.210708e-01 -0.699601223     2 0.83242087
#> 147  1.452237e-01 -0.705202153     2 0.85721472
#> 148  1.698519e-01 -0.709965014     2 0.88229927
#> 149  1.949263e-01 -0.713865355     2 0.90767516
#> 150  2.204165e-01 -0.716879743     2 0.93334300
#> 151  2.462913e-01 -0.718985804     2 0.95930338
#> 152  2.725185e-01 -0.720162267     2 0.98555689
#> 153  2.990647e-01 -0.720389005     2 1.01210408
#> 154  3.258958e-01 -0.719647072     2 1.03894549
#> 155  3.529769e-01 -0.717918743     2 1.06608164
#> 156  3.802720e-01 -0.715187550     2 1.09351303
#> 157  4.077444e-01 -0.711438317     2 1.12124015
#> 158  4.353569e-01 -0.706657192     2 1.14926347
#> 159  4.630712e-01 -0.700831680     2 1.17758345
#> 160  4.908487e-01 -0.693950674     2 1.20620053
#> 161  5.186500e-01 -0.686004480     2 1.23511515
#> 162  5.464353e-01 -0.676984847     2 1.26432771
#> 163  5.741641e-01 -0.666884990     2 1.29383863
#> 164  6.017957e-01 -0.655699613     2 1.32364829
#> 165  6.292888e-01 -0.643424929     2 1.35375708
#> 166  6.566019e-01 -0.630058681     2 1.38416536
#> 167  6.836932e-01 -0.615600158     2 1.41487350
#> 168  7.105208e-01 -0.600050208     2 1.44588183
#> 169  7.370423e-01 -0.583411256     2 1.47719070
#> 170  7.632155e-01 -0.565687308     2 1.50880043
#> 171  7.889981e-01 -0.546883967     2 1.54071135
#> 172  8.143477e-01 -0.527008433     2 1.57292376
#> 173  8.392220e-01 -0.506069512     2 1.60543797
#> 174  8.635791e-01 -0.484077619     2 1.63825426
#> 175  8.873769e-01 -0.461044774     2 1.67137293
#> 176  9.105737e-01 -0.436984604     2 1.70479424
#> 177  9.331282e-01 -0.411912335     2 1.73851848
#> 178  9.549994e-01 -0.385844791     2 1.77254590
#> 179  9.761467e-01 -0.358800382     2 1.80687675
#> 180  9.965300e-01 -0.330799093     2 1.84151129
#> 181  1.016110e+00 -0.301862472     2 1.87644976
#> 182  1.034847e+00 -0.272013618     2 1.91169240
#> 183  1.052704e+00 -0.241277157     2 1.94723943
#> 184  1.069642e+00 -0.209679230     2 1.98309107
#> 185  1.085626e+00 -0.177247467     2 2.01924756
#> 186  1.100618e+00 -0.144010964     2 2.05570909
#> 187  1.114585e+00 -0.110000258     2 2.09247588
#> 188  1.127492e+00 -0.075247301     2 2.12954814
#> 189  1.139306e+00 -0.039785426     2 2.16692605
#> 190  1.149994e+00 -0.003649319     2 2.20460981
#> 191  1.159527e+00  0.033125019     2 2.24259961
#> 192  1.167874e+00  0.070500302     2 2.28089563
#> 193  1.175007e+00  0.108438004     2 2.31949806
#> 194  1.180898e+00  0.146898390     2 2.35840706
#> 195  1.185522e+00  0.185840568     2 2.39762281
#> 196  1.188854e+00  0.225222523     2 2.43714547
#> 197  1.190871e+00  0.265001168     2 2.47697521
#> 198  1.191551e+00  0.305132387     2 2.51711219
#> 199  1.190874e+00  0.345571086     2 2.55755656
#> 200  1.188821e+00  0.386271243     2 2.59830848
#> 201 -1.528242e-01  0.210344419     3 0.00000000
#> 202 -1.655526e-01  0.213289329     3 0.01306466
#> 203 -1.786156e-01  0.215630390     3 0.02633579
#> 204 -1.919874e-01  0.217349537     3 0.03981769
#> 205 -2.056416e-01  0.218429737     3 0.05351446
#> 206 -2.195506e-01  0.218855025     3 0.06743003
#> 207 -2.336866e-01  0.218610532     3 0.08156814
#> 208 -2.480208e-01  0.217682517     3 0.09593234
#> 209 -2.625238e-01  0.216058394     3 0.11052603
#> 210 -2.771658e-01  0.213726758     3 0.12535246
#> 211 -2.919161e-01  0.210677408     3 0.14041470
#> 212 -3.067439e-01  0.206901374     3 0.15571572
#> 213 -3.216176e-01  0.202390935     3 0.17125832
#> 214 -3.365055e-01  0.197139639     3 0.18704517
#> 215 -3.513753e-01  0.191142321     3 0.20307885
#> 216 -3.661945e-01  0.184395119     3 0.21936179
#> 217 -3.809304e-01  0.176895485     3 0.23589632
#> 218 -3.955500e-01  0.168642202     3 0.25268468
#> 219 -4.100202e-01  0.159635390     3 0.26972898
#> 220 -4.243077e-01  0.149876517     3 0.28703127
#> 221 -4.383793e-01  0.139368402     3 0.30459349
#> 222 -4.522018e-01  0.128115221     3 0.32241749
#> 223 -4.657419e-01  0.116122510     3 0.34050506
#> 224 -4.789666e-01  0.103397164     3 0.35885789
#> 225 -4.918429e-01  0.089947435     3 0.37747762
#> 226 -5.043381e-01  0.075782931     3 0.39636580
#> 227 -5.164198e-01  0.060914605     3 0.41552393
#> 228 -5.280558e-01  0.045354754     3 0.43495344
#> 229 -5.392144e-01  0.029117004     3 0.45465570
#> 230 -5.498643e-01  0.012216300     3 0.47463203
#> 231 -5.599746e-01 -0.005331107     3 0.49488370
#> 232 -5.695150e-01 -0.023507676     3 0.51541190
#> 233 -5.784558e-01 -0.042294594     3 0.53621782
#> 234 -5.867679e-01 -0.061671793     3 0.55730256
#> 235 -5.944228e-01 -0.081617977     3 0.57866721
#> 236 -6.013929e-01 -0.102110639     3 0.60031278
#> 237 -6.076512e-01 -0.123126089     3 0.62224029
#> 238 -6.131716e-01 -0.144639482     3 0.64445067
#> 239 -6.179289e-01 -0.166624843     3 0.66694485
#> 240 -6.218988e-01 -0.189055103     3 0.68972372
#> 241 -6.250580e-01 -0.211902125     3 0.71278812
#> 242 -6.273840e-01 -0.235136743     3 0.73613888
#> 243 -6.288556e-01 -0.258728795     3 0.75977678
#> 244 -6.294526e-01 -0.282647162     3 0.78370260
#> 245 -6.291558e-01 -0.306859803     3 0.80791706
#> 246 -6.279474e-01 -0.331333799     3 0.83242087
#> 247 -6.258105e-01 -0.356035396     3 0.85721472
#> 248 -6.227297e-01 -0.380930041     3 0.88229927
#> 249 -6.186908e-01 -0.405982435     3 0.90767516
#> 250 -6.136807e-01 -0.431156574     3 0.93334300
#> 251 -6.076879e-01 -0.456415797     3 0.95930338
#> 252 -6.007022e-01 -0.481722834     3 0.98555689
#> 253 -5.927146e-01 -0.507039856     3 1.01210408
#> 254 -5.837177e-01 -0.532328528     3 1.03894549
#> 255 -5.737054e-01 -0.557550055     3 1.06608164
#> 256 -5.626733e-01 -0.582665238     3 1.09351303
#> 257 -5.506181e-01 -0.607634529     3 1.12124015
#> 258 -5.375383e-01 -0.632418079     3 1.14926347
#> 259 -5.234337e-01 -0.656975802     3 1.17758345
#> 260 -5.083057e-01 -0.681267422     3 1.20620053
#> 261 -4.921574e-01 -0.705252533     3 1.23511515
#> 262 -4.749931e-01 -0.728890658     3 1.26432771
#> 263 -4.568189e-01 -0.752141301     3 1.29383863
#> 264 -4.376423e-01 -0.774964009     3 1.32364829
#> 265 -4.174725e-01 -0.797318427     3 1.35375708
#> 266 -3.963203e-01 -0.819164358     3 1.38416536
#> 267 -3.741977e-01 -0.840461821     3 1.41487350
#> 268 -3.511187e-01 -0.861171109     3 1.44588183
#> 269 -3.270985e-01 -0.881252846     3 1.47719070
#> 270 -3.021540e-01 -0.900668048     3 1.50880043
#> 271 -2.763038e-01 -0.919378179     3 1.54071135
#> 272 -2.495675e-01 -0.937345211     3 1.57292376
#> 273 -2.219668e-01 -0.954531679     3 1.60543797
#> 274 -1.935246e-01 -0.970900739     3 1.63825426
#> 275 -1.642651e-01 -0.986416229     3 1.67137293
#> 276 -1.342143e-01 -1.001042716     3 1.70479424
#> 277 -1.033994e-01 -1.014745562     3 1.73851848
#> 278 -7.184917e-02 -1.027490972     3 1.77254590
#> 279 -3.959354e-02 -1.039246050     3 1.80687675
#> 280 -6.663940e-03 -1.049978853     3 1.84151129
#> 281  2.690691e-02 -1.059658444     3 1.87644976
#> 282  6.108503e-02 -1.068254941     3 1.91169240
#> 283  9.583516e-02 -1.075739570     3 1.94723943
#> 284  1.311208e-01 -1.082084712     3 1.98309107
#> 285  1.669045e-01 -1.087263952     3 2.01924756
#> 286  2.031472e-01 -1.091252128     3 2.05570909
#> 287  2.398093e-01 -1.094025371     3 2.09247588
#> 288  2.768497e-01 -1.095561154     3 2.12954814
#> 289  3.142266e-01 -1.095838333     3 2.16692605
#> 290  3.518970e-01 -1.094837188     3 2.20460981
#> 291  3.898173e-01 -1.092539462     3 2.24259961
#> 292  4.279427e-01 -1.088928398     3 2.28089563
#> 293  4.662278e-01 -1.083988777     3 2.31949806
#> 294  5.046263e-01 -1.077706952     3 2.35840706
#> 295  5.430914e-01 -1.070070879     3 2.39762281
#> 296  5.815756e-01 -1.061070149     3 2.43714547
#> 297  6.200305e-01 -1.050696017     3 2.47697521
#> 298  6.584077e-01 -1.038941426     3 2.51711219
#> 299  6.966579e-01 -1.025801036     3 2.55755656
#> 300  7.347316e-01 -1.011271243     3 2.59830848
#> 301  1.528242e-01  0.210344419     4 0.00000000
#> 302  1.516916e-01  0.223359903     4 0.01306466
#> 303  1.498814e-01  0.236506991     4 0.02633579
#> 304  1.473843e-01  0.249755611     4 0.03981769
#> 305  1.441923e-01  0.263075244     4 0.05351446
#> 306  1.402986e-01  0.276434977     4 0.06743003
#> 307  1.356978e-01  0.289803550     4 0.08156814
#> 308  1.303857e-01  0.303149404     4 0.09593234
#> 309  1.243594e-01  0.316440731     4 0.11052603
#> 310  1.176173e-01  0.329645527     4 0.12535246
#> 311  1.101591e-01  0.342731642     4 0.14041470
#> 312  1.019858e-01  0.355666827     4 0.15571572
#> 313  9.309990e-02  0.368418795     4 0.17125832
#> 314  8.350502e-02  0.380955263     4 0.18704517
#> 315  7.320621e-02  0.393244010     4 0.20307885
#> 316  6.220984e-02  0.405252928     4 0.21936179
#> 317  5.052363e-02  0.416950072     4 0.23589632
#> 318  3.815659e-02  0.428303718     4 0.25268468
#> 319  2.511908e-02  0.439282406     4 0.26972898
#> 320  1.142275e-02  0.449855000     4 0.28703127
#> 321 -2.919440e-03  0.459990736     4 0.30459349
#> 322 -1.789323e-02  0.469659272     4 0.32241749
#> 323 -3.348311e-02  0.478830744     4 0.34050506
#> 324 -4.967228e-02  0.487475809     4 0.35885789
#> 325 -6.644273e-02  0.495565701     4 0.37747762
#> 326 -8.377520e-02  0.503072277     4 0.39636580
#> 327 -1.016493e-01  0.509968065     4 0.41552393
#> 328 -1.200433e-01  0.516226316     4 0.43495344
#> 329 -1.389345e-01  0.521821045     4 0.45465570
#> 330 -1.582990e-01  0.526727082     4 0.47463203
#> 331 -1.781119e-01  0.530920112     4 0.49488370
#> 332 -1.983470e-01  0.534376726     4 0.51541190
#> 333 -2.189772e-01  0.537074455     4 0.53621782
#> 334 -2.399746e-01  0.538991820     4 0.55730256
#> 335 -2.613101e-01  0.540108368     4 0.57866721
#> 336 -2.829536e-01  0.540404711     4 0.60031278
#> 337 -3.048744e-01  0.539862568     4 0.62224029
#> 338 -3.270408e-01  0.538464795     4 0.64445067
#> 339 -3.494202e-01  0.536195427     4 0.66694485
#> 340 -3.719794e-01  0.533039705     4 0.68972372
#> 341 -3.946844e-01  0.528984116     4 0.71278812
#> 342 -4.175007e-01  0.524016414     4 0.73613888
#> 343 -4.403928e-01  0.518125655     4 0.75977678
#> 344 -4.633250e-01  0.511302225     4 0.78370260
#> 345 -4.862609e-01  0.503537860     4 0.80791706
#> 346 -5.091636e-01  0.494825674     4 0.83242087
#> 347 -5.319959e-01  0.485160178     4 0.85721472
#> 348 -5.547201e-01  0.474537301     4 0.88229927
#> 349 -5.772982e-01  0.462954411     4 0.90767516
#> 350 -5.996920e-01  0.450410326     4 0.93334300
#> 351 -6.218631e-01  0.436905328     4 0.95930338
#> 352 -6.437728e-01  0.422441183     4 0.98555689
#> 353 -6.653824e-01  0.407021140     4 1.01210408
#> 354 -6.866532e-01  0.390649948     4 1.03894549
#> 355 -7.075463e-01  0.373333859     4 1.06608164
#> 356 -7.280232e-01  0.355080629     4 1.09351303
#> 357 -7.480451e-01  0.335899526     4 1.12124015
#> 358 -7.675738e-01  0.315801324     4 1.14926347
#> 359 -7.865710e-01  0.294798305     4 1.17758345
#> 360 -8.049989e-01  0.272904251     4 1.20620053
#> 361 -8.228200e-01  0.250134443     4 1.23511515
#> 362 -8.399971e-01  0.226505646     4 1.26432771
#> 363 -8.564937e-01  0.202036102     4 1.29383863
#> 364 -8.722735e-01  0.176745515     4 1.32364829
#> 365 -8.873010e-01  0.150655041     4 1.35375708
#> 366 -9.015413e-01  0.123787266     4 1.38416536
#> 367 -9.149601e-01  0.096166186     4 1.41487350
#> 368 -9.275240e-01  0.067817193     4 1.44588183
#> 369 -9.392003e-01  0.038767045     4 1.47719070
#> 370 -9.499570e-01  0.009043842     4 1.50880043
#> 371 -9.597632e-01 -0.021322996     4 1.54071135
#> 372 -9.685889e-01 -0.052302767     4 1.57292376
#> 373 -9.764051e-01 -0.083863508     4 1.60543797
#> 374 -9.831839e-01 -0.115972037     4 1.63825426
#> 375 -9.888983e-01 -0.148593982     4 1.67137293
#> 376 -9.935227e-01 -0.181693819     4 1.70479424
#> 377 -9.970326e-01 -0.215234912     4 1.73851848
#> 378 -9.994046e-01 -0.249179552     4 1.77254590
#> 379 -1.000617e+00 -0.283489000     4 1.80687675
#> 380 -1.000649e+00 -0.318123526     4 1.84151129
#> 381 -9.994804e-01 -0.353042463     4 1.87644976
#> 382 -9.970945e-01 -0.388204245     4 1.91169240
#> 383 -9.934744e-01 -0.423566460     4 1.94723943
#> 384 -9.886051e-01 -0.459085901     4 1.98309107
#> 385 -9.824732e-01 -0.494718611     4 2.01924756
#> 386 -9.750665e-01 -0.530419942     4 2.05570909
#> 387 -9.663748e-01 -0.566144605     4 2.09247588
#> 388 -9.563893e-01 -0.601846729     4 2.12954814
#> 389 -9.451028e-01 -0.637479910     4 2.16692605
#> 390 -9.325099e-01 -0.672997276     4 2.20460981
#> 391 -9.186066e-01 -0.708351540     4 2.24259961
#> 392 -9.033909e-01 -0.743495063     4 2.28089563
#> 393 -8.868623e-01 -0.778379911     4 2.31949806
#> 394 -8.690221e-01 -0.812957916     4 2.35840706
#> 395 -8.498734e-01 -0.847180742     4 2.39762281
#> 396 -8.294209e-01 -0.880999940     4 2.43714547
#> 397 -8.076713e-01 -0.914367018     4 2.47697521
#> 398 -7.846328e-01 -0.947233500     4 2.51711219
#> 399 -7.603156e-01 -0.979550992     4 2.55755656
#> 400 -7.347316e-01 -1.011271243     4 2.59830848
#> 401  2.472747e-01 -0.080344419     5 0.00000000
#> 402  2.593032e-01 -0.075245317     5 0.01306466
#> 403  2.712474e-01 -0.069461031     5 0.02633579
#> 404  2.830760e-01 -0.062992081     5 0.03981769
#> 405  2.947573e-01 -0.055840295     5 0.05351446
#> 406  3.062599e-01 -0.048008813     5 0.06743003
#> 407  3.175525e-01 -0.039502088     5 0.08156814
#> 408  3.286036e-01 -0.030325882     5 0.09593234
#> 409  3.393822e-01 -0.020487267     5 0.11052603
#> 410  3.498573e-01 -0.009994618     5 0.12535246
#> 411  3.599982e-01  0.001142395     5 0.14041470
#> 412  3.697746e-01  0.012912814     5 0.15571572
#> 413  3.791565e-01  0.025304402     5 0.17125832
#> 414  3.881145e-01  0.038303661     5 0.18704517
#> 415  3.966192e-01  0.051895843     5 0.20307885
#> 416  4.046423e-01  0.066064965     5 0.21936179
#> 417  4.121557e-01  0.080793832     5 0.23589632
#> 418  4.191321e-01  0.096064053     5 0.25268468
#> 419  4.255446e-01  0.111856067     5 0.26972898
#> 420  4.313674e-01  0.128149163     5 0.28703127
#> 421  4.365750e-01  0.144921507     5 0.30459349
#> 422  4.411432e-01  0.162150173     5 0.32241749
#> 423  4.450483e-01  0.179811165     5 0.34050506
#> 424  4.482675e-01  0.197879455     5 0.35885789
#> 425  4.507791e-01  0.216329012     5 0.37747762
#> 426  4.525622e-01  0.235132835     5 0.39636580
#> 427  4.535971e-01  0.254262992     5 0.41552393
#> 428  4.538650e-01  0.273690655     5 0.43495344
#> 429  4.533482e-01  0.293386138     5 0.45465570
#> 430  4.520301e-01  0.313318939     5 0.47463203
#> 431  4.498954e-01  0.333457782     5 0.49488370
#> 432  4.469299e-01  0.353770655     5 0.51541190
#> 433  4.431205e-01  0.374224861     5 0.53621782
#> 434  4.384554e-01  0.394787058     5 0.55730256
#> 435  4.329243e-01  0.415423306     5 0.57866721
#> 436  4.265179e-01  0.436099118     5 0.60031278
#> 437  4.192284e-01  0.456779505     5 0.62224029
#> 438  4.110493e-01  0.477429027     5 0.64445067
#> 439  4.019754e-01  0.498011841     5 0.66694485
#> 440  3.920029e-01  0.518491758     5 0.68972372
#> 441  3.811296e-01  0.538832288     5 0.71278812
#> 442  3.693544e-01  0.558996697     5 0.73613888
#> 443  3.566779e-01  0.578948061     5 0.75977678
#> 444  3.431020e-01  0.598649316     5 0.78370260
#> 445  3.286301e-01  0.618063315     5 0.80791706
#> 446  3.132670e-01  0.637152884     5 0.83242087
#> 447  2.970190e-01  0.655880875     5 0.85721472
#> 448  2.798939e-01  0.674210222     5 0.88229927
#> 449  2.619009e-01  0.692103997     5 0.90767516
#> 450  2.430506e-01  0.709525464     5 0.93334300
#> 451  2.233554e-01  0.726438139     5 0.95930338
#> 452  2.028287e-01  0.742805843     5 0.98555689
#> 453  1.814856e-01  0.758592755     5 1.01210408
#> 454  1.593427e-01  0.773763474     5 1.03894549
#> 455  1.364178e-01  0.788283069     5 1.06608164
#> 456  1.127302e-01  0.802117136     5 1.09351303
#> 457  8.830078e-02  0.815231852     5 1.12124015
#> 458  6.315156e-02  0.827594031     5 1.14926347
#> 459  3.730604e-02  0.839171174     5 1.17758345
#> 460  1.078902e-02  0.849931525     5 1.20620053
#> 461 -1.637337e-02  0.859844121     5 1.23511515
#> 462 -4.415372e-02  0.868878846     5 1.26432771
#> 463 -7.252335e-02  0.877006479     5 1.29383863
#> 464 -1.014524e-01  0.884198744     5 1.32364829
#> 465 -1.309096e-01  0.890428363     5 1.35375708
#> 466 -1.608629e-01  0.895669095     5 1.38416536
#> 467 -1.912788e-01  0.899895793     5 1.41487350
#> 468 -2.221227e-01  0.903084439     5 1.44588183
#> 469 -2.533592e-01  0.905212197     5 1.47719070
#> 470 -2.849516e-01  0.906257449     5 1.50880043
#> 471 -3.168625e-01  0.906199842     5 1.54071135
#> 472 -3.490533e-01  0.905020323     5 1.57292376
#> 473 -3.814847e-01  0.902701180     5 1.60543797
#> 474 -4.141165e-01  0.899226079     5 1.63825426
#> 475 -4.469077e-01  0.894580097     5 1.67137293
#> 476 -4.798165e-01  0.888749760     5 1.70479424
#> 477 -5.128006e-01  0.881723071     5 1.73851848
#> 478 -5.458168e-01  0.873489539     5 1.77254590
#> 479 -5.788217e-01  0.864040213     5 1.80687675
#> 480 -6.117708e-01  0.853367701     5 1.84151129
#> 481 -6.446198e-01  0.841466203     5 1.87644976
#> 482 -6.773233e-01  0.828331523     5 1.91169240
#> 483 -7.098361e-01  0.813961101     5 1.94723943
#> 484 -7.421124e-01  0.798354021     5 1.98309107
#> 485 -7.741063e-01  0.781511036     5 2.01924756
#> 486 -8.057715e-01  0.763434575     5 2.05570909
#> 487 -8.370618e-01  0.744128762     5 2.09247588
#> 488 -8.679308e-01  0.723599420     5 2.12954814
#> 489 -8.983323e-01  0.701854082     5 2.16692605
#> 490 -9.282198e-01  0.678901998     5 2.20460981
#> 491 -9.575474e-01  0.654754134     5 2.24259961
#> 492 -9.862690e-01  0.629423178     5 2.28089563
#> 493 -1.014339e+00  0.602923536     5 2.31949806
#> 494 -1.041712e+00  0.575271328     5 2.35840706
#> 495 -1.068342e+00  0.546484386     5 2.39762281
#> 496 -1.094186e+00  0.516582242     5 2.43714547
#> 497 -1.119199e+00  0.485586121     5 2.47697521
#> 498 -1.143337e+00  0.453518928     5 2.51711219
#> 499 -1.166559e+00  0.420405229     5 2.55755656
#> 500 -1.188821e+00  0.386271243     5 2.59830848