// 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 279.999
0.0281514 279.999
0.0287781 279.998
0.0293905 279.997
0.0299888 279.995
0.0305733 279.992
0.0311444 279.987
0.0317023 279.98
0.0322475 279.967
0.0327801 279.947
0.0333004 279.915
0.0338088 279.865
0.0343055 279.787
0.0347908 279.668
0.0352649 279.488
0.0357282 279.221
0.0361807 278.831
0.0366229 278.279
0.0370549 277.524
0.037477 276.538
0.0378894 275.319
0.0382923 273.899
0.0386859 272.339
0.0390705 270.716
0.0394462 269.097
0.0398133 267.534
0.040172 266.056
0.0405224 264.674
0.0408647 263.386
0.0411992 262.181
0.041526 261.043
0.0418453 259.95
0.0421573 258.876
0.042462 257.79
0.0427598 256.658
0.0430507 255.441
0.043335 254.101
0.0436127 252.605
0.043884 250.932
0.044149 249.079
0.044408 247.068
0.0446611 244.942
0.0449083 242.761
0.0451498 240.591
0.0453858 238.492
0.0456163 236.515
0.0458416 234.691
0.0460616 233.039
0.0462766 231.563
0.0464867 230.259
0.046692 229.113
0.0468925 228.113
0.0470884 227.242
0.0472798 226.485
0.0474668 225.826
0.0476495 225.253
0.047828 224.754
0.0480024 224.317
0.0481728 223.936
0.0483393 223.601
0.0485019 223.306
0.0486608 223.045
0.0488161 222.815
0.0489678 222.61
0.049116 222.427
0.0492608 222.264
0.0494022 222.118
0.0495404 221.986
0.0496755 221.868
0.0498074 221.76
0.0499363 221.662
0.05 221.662
