// 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 279.999
0.0361807 279.999
0.0366229 279.998
0.0370549 279.997
0.037477 279.995
0.0378894 279.992
0.0382923 279.986
0.0386859 279.977
0.0390705 279.961
0.0394462 279.935
0.0398133 279.894
0.040172 279.828
0.0405224 279.725
0.0408647 279.567
0.0411992 279.332
0.041526 278.987
0.0418453 278.498
0.0421573 277.826
0.042462 276.94
0.0427598 275.824
0.0430507 274.486
0.043335 272.961
0.0436127 271.307
0.043884 269.589
0.044149 267.869
0.044408 266.189
0.0446611 264.569
0.0449083 263.008
0.0451498 261.478
0.0453858 259.936
0.0456163 258.32
0.0458416 256.561
0.0460616 254.595
0.0462766 252.381
0.0464867 249.919
0.046692 247.262
0.0468925 244.506
0.0470884 241.767
0.0472798 239.155
0.0474668 236.749
0.0476495 234.595
0.047828 232.704
0.0480024 231.069
0.0481728 229.667
0.0483393 228.472
0.0485019 227.454
0.0486608 226.588
0.0488161 225.85
0.0489678 225.22
0.049116 224.679
0.0492608 224.214
0.0494022 223.812
0.0495404 223.464
0.0496755 223.16
0.0498074 222.894
0.0499363 222.66
0.05 222.66
