// 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 279.999
0.0193744 279.999
0.0202029 279.998
0.0210124 279.997
0.0218033 279.994
0.022576 279.991
0.023331 279.985
0.0240686 279.976
0.0247892 279.962
0.0254933 279.939
0.0261812 279.904
0.0268532 279.851
0.0275098 279.772
0.0281514 279.657
0.0287781 279.492
0.0293905 279.262
0.0299888 278.948
0.0305733 278.528
0.0311444 277.983
0.0317023 277.295
0.0322475 276.451
0.0327801 275.449
0.0333004 274.298
0.0338088 273.02
0.0343055 271.647
0.0347908 270.216
0.0352649 268.768
0.0357282 267.336
0.0361807 265.946
0.0366229 264.615
0.0370549 263.353
0.037477 262.157
0.0378894 261.017
0.0382923 259.913
0.0386859 258.811
0.0390705 257.666
0.0394462 256.414
0.0398133 254.981
0.040172 253.332
0.0405224 251.4
0.0408647 249.098
0.0411992 246.471
0.041526 243.636
0.0418453 240.76
0.0421573 238.165
0.042462 235.965
0.0427598 234.068
0.0430507 232.493
0.043335 231.224
0.0436127 230.226
0.043884 229.456
0.044149 228.876
0.044408 228.448
0.0446611 228.143
0.0449083 227.936
0.0451498 227.806
0.0453858 227.739
0.0456163 227.72
0.0458416 227.741
0.0460616 227.923
0.0462766 228.454
0.0464867 228.994
0.046692 229.539
0.0468925 230.087
0.0470884 231.532
0.0472798 234.022
0.0474668 236.463
0.0476495 238.855
0.047828 241.198
0.0480024 243.515
0.0481728 247.301
0.0483393 251.003
0.0485019 254.624
0.0486608 258.164
0.0488161 261.626
0.0489678 265.011
0.049116 270.936
0.0492608 277.438
0.0494022 283.791
0.0495404 291.825
0.0496755 303.986
0.0498074 315.78
0.0499363 327.052
0.05 332.8
