// 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 279.999
0.0343055 279.999
0.0347908 279.998
0.0352649 279.996
0.0357282 279.994
0.0361807 279.99
0.0366229 279.983
0.0370549 279.972
0.037477 279.955
0.0378894 279.926
0.0382923 279.879
0.0386859 279.807
0.0390705 279.696
0.0394462 279.528
0.0398133 279.28
0.040172 278.921
0.0405224 278.417
0.0408647 277.733
0.0411992 276.84
0.041526 275.725
0.0418453 274.398
0.0421573 272.896
0.042462 271.272
0.0427598 269.591
0.0430507 267.912
0.043335 266.277
0.0436127 264.71
0.043884 263.213
0.044149 261.769
0.044408 260.346
0.0446611 258.896
0.0449083 257.36
0.0451498 255.674
0.0453858 253.784
0.0456163 251.659
0.0458416 249.304
0.0460616 246.77
0.0462766 244.146
0.0464867 241.537
0.046692 239.04
0.0468925 236.728
0.0470884 234.645
0.0472798 232.805
0.0474668 231.202
0.0476495 229.819
0.047828 228.632
0.0480024 227.617
0.0481728 226.749
0.0483393 226.006
0.0485019 225.369
0.0486608 224.821
0.0488161 224.349
0.0489678 223.94
0.049116 223.584
0.0492608 223.273
0.0494022 223.002
0.0495404 222.762
0.0496755 222.551
0.0498074 222.364
0.0499363 222.197
0.05 222.197
