// 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 279.999
0.0333004 279.999
0.0338088 279.998
0.0343055 279.997
0.0347908 279.994
0.0352649 279.988
0.0357282 279.979
0.0361807 279.961
0.0366229 279.928
0.0370549 279.872
0.037477 279.774
0.0378894 279.61
0.0382923 279.343
0.0386859 278.924
0.0390705 278.292
0.0394462 277.387
0.0398133 276.165
0.040172 274.673
0.0405224 272.958
0.0408647 271.052
0.0411992 269.063
0.041526 267.077
0.0418453 265.144
0.0421573 263.418
0.042462 261.819
0.0427598 260.056
0.0430507 257.953
0.043335 255.347
0.0436127 252.189
0.043884 248.634
0.044149 245
0.044408 241.625
0.0446611 238.724
0.0449083 236.365
0.0451498 234.515
0.0453858 233.097
0.0456163 232.027
0.0458416 231.229
0.0460616 230.772
0.0462766 230.802
0.0464867 230.945
0.046692 231.173
0.0468925 231.464
0.0470884 232.703
0.0472798 235.024
0.0474668 237.325
0.0476495 239.6
0.047828 241.845
0.0480024 244.079
0.0481728 247.795
0.0483393 251.437
0.0485019 255.006
0.0486608 258.503
0.0488161 261.926
0.0489678 265.277
0.049116 271.174
0.0492608 277.65
0.0494022 283.981
0.0495404 291.994
0.0496755 304.137
0.0498074 315.887
0.0499363 327.052
0.05 332.8
