// 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 279.999
0.0327801 279.999
0.0333004 279.998
0.0338088 279.996
0.0343055 279.992
0.0347908 279.985
0.0352649 279.973
0.0357282 279.951
0.0361807 279.911
0.0366229 279.842
0.0370549 279.725
0.037477 279.532
0.0378894 279.221
0.0382923 278.74
0.0386859 278.028
0.0390705 277.029
0.0394462 275.711
0.0398133 274.083
0.040172 272.259
0.0405224 270.336
0.0408647 268.362
0.0411992 266.415
0.041526 264.53
0.0418453 262.688
0.0421573 260.977
0.042462 259.253
0.0427598 257.186
0.0430507 254.622
0.043335 251.528
0.0436127 248.055
0.043884 244.513
0.044149 241.219
0.044408 238.379
0.0446611 236.061
0.0449083 234.237
0.0451498 232.835
0.0453858 231.774
0.0456163 230.982
0.0458416 230.399
0.0460616 230.107
0.0462766 230.265
0.0464867 230.507
0.046692 230.812
0.0468925 231.165
0.0470884 232.452
0.0472798 234.812
0.0474668 237.145
0.0476495 239.447
0.047828 241.714
0.0480024 243.966
0.0481728 247.696
0.0483393 251.351
0.0485019 254.932
0.0486608 258.437
0.0488161 261.868
0.0489678 265.226
0.049116 271.129
0.0492608 277.61
0.0494022 283.946
0.0495404 291.963
0.0496755 304.11
0.0498074 315.868
0.0499363 327.052
0.05 332.8
