// location(m)  rho_s([1 -3 0 0 0 0 0])
0 280
0.000636985 280
0.00189631 280
0.00312669 280
0.00432877 280
0.00550322 280
0.00665068 280
0.00777175 280
0.00886704 280
0.00993716 280
0.0109827 280
0.0120042 280
0.0130021 280
0.0139772 280
0.0149298 280
0.0158606 280
0.0167699 280
0.0176583 280
0.0185263 280
0.0193744 280
0.0202029 280
0.0210124 280
0.0218033 280
0.022576 280
0.023331 280
0.0240686 280
0.0247892 280
0.0254933 280
0.0261812 280
0.0268532 280
0.0275098 280
0.0281514 280
0.0287781 280
0.0293905 279.999
0.0299888 279.999
0.0305733 279.998
0.0311444 279.997
0.0317023 279.995
0.0322475 279.992
0.0327801 279.986
0.0333004 279.977
0.0338088 279.963
0.0343055 279.939
0.0347908 279.903
0.0352649 279.845
0.0357282 279.757
0.0361807 279.623
0.0366229 279.425
0.0370549 279.136
0.037477 278.726
0.0378894 278.162
0.0382923 277.41
0.0386859 276.448
0.0390705 275.272
0.0394462 273.902
0.0398133 272.381
0.040172 270.768
0.0405224 269.123
0.0408647 267.499
0.0411992 265.935
0.041526 264.45
0.0418453 263.048
0.0421573 261.718
0.042462 260.437
0.0427598 259.17
0.0430507 257.872
0.043335 256.492
0.0436127 254.976
0.043884 253.278
0.044149 251.368
0.044408 249.248
0.0446611 246.954
0.0449083 244.553
0.0451498 242.132
0.0453858 239.775
0.0456163 237.553
0.0458416 235.514
0.0460616 233.68
0.0462766 232.057
0.0464867 230.636
0.046692 229.402
0.0468925 228.333
0.0470884 227.411
0.0472798 226.614
0.0474668 225.926
0.0476495 225.331
0.047828 224.815
0.0480024 224.366
0.0481728 223.974
0.0483393 223.631
0.0485019 223.33
0.0486608 223.065
0.0488161 222.831
0.0489678 222.623
0.049116 222.438
0.0492608 222.273
0.0494022 222.125
0.0495404 221.992
0.0496755 221.872
0.0498074 221.764
0.0499363 221.666
0.05 221.666
