// 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 279.999
0.0305733 279.999
0.0311444 279.999
0.0317023 279.998
0.0322475 279.996
0.0327801 279.994
0.0333004 279.99
0.0338088 279.983
0.0343055 279.972
0.0347908 279.954
0.0352649 279.926
0.0357282 279.881
0.0361807 279.812
0.0366229 279.705
0.0370549 279.545
0.037477 279.31
0.0378894 278.972
0.0382923 278.497
0.0386859 277.853
0.0390705 277.011
0.0394462 275.954
0.0398133 274.69
0.040172 273.246
0.0405224 271.675
0.0408647 270.035
0.0411992 268.387
0.041526 266.777
0.0418453 265.236
0.0421573 263.777
0.042462 262.394
0.0427598 261.069
0.0430507 259.77
0.043335 258.455
0.0436127 257.073
0.043884 255.566
0.044149 253.884
0.044408 251.99
0.0446611 249.873
0.0449083 247.562
0.0451498 245.121
0.0453858 242.638
0.0456163 240.204
0.0458416 237.898
0.0460616 235.777
0.0462766 233.869
0.0464867 232.182
0.046692 230.708
0.0468925 229.432
0.0470884 228.331
0.0472798 227.385
0.0474668 226.572
0.0476495 225.872
0.047828 225.269
0.0480024 224.748
0.0481728 224.296
0.0483393 223.904
0.0485019 223.562
0.0486608 223.262
0.0488161 222.999
0.0489678 222.767
0.049116 222.562
0.0492608 222.379
0.0494022 222.217
0.0495404 222.072
0.0496755 221.942
0.0498074 221.824
0.0499363 221.718
0.05 221.718
