// 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 280
0.0299888 280
0.0305733 280
0.0311444 280
0.0317023 280
0.0322475 280
0.0327801 280
0.0333004 280
0.0338088 280
0.0343055 280
0.0347908 280
0.0352649 280
0.0357282 280
0.0361807 280
0.0366229 280
0.0370549 280
0.037477 280
0.0378894 280
0.0382923 280
0.0386859 280
0.0390705 280
0.0394462 280
0.0398133 280
0.040172 280
0.0405224 280
0.0408647 280
0.0411992 280
0.041526 280
0.0418453 280
0.0421573 280
0.042462 280
0.0427598 280
0.0430507 280
0.043335 280
0.0436127 279.999
0.043884 279.998
0.044149 279.997
0.044408 279.994
0.0446611 279.989
0.0449083 279.979
0.0451498 279.961
0.0453858 279.927
0.0456163 279.868
0.0458416 279.764
0.0460616 279.589
0.0462766 279.302
0.0464867 278.849
0.046692 278.165
0.0468925 277.188
0.0470884 275.878
0.0472798 274.242
0.0474668 272.34
0.0476495 270.26
0.047828 268.087
0.0480024 265.859
0.0481728 263.549
0.0483393 261.067
0.0485019 258.289
0.0486608 255.115
0.0488161 251.546
0.0489678 247.724
0.049116 243.888
0.0492608 240.283
0.0494022 237.071
0.0495404 234.322
0.0496755 232.025
0.0498074 230.133
0.0499363 228.583
0.05 228.583
