This function returns some made-up data to test arrow functionality with.
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
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#> 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
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#> 365 -8.873010e-01 0.150655041 4 1.35375708
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#> 378 -9.994046e-01 -0.249179552 4 1.77254590
#> 379 -1.000617e+00 -0.283489000 4 1.80687675
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#> 381 -9.994804e-01 -0.353042463 4 1.87644976
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#> 384 -9.886051e-01 -0.459085901 4 1.98309107
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#> 390 -9.325099e-01 -0.672997276 4 2.20460981
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#> 400 -7.347316e-01 -1.011271243 4 2.59830848
#> 401 2.472747e-01 -0.080344419 5 0.00000000
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#> 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
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#> 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