// 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 280
0.0361807 280
0.0366229 280
0.0370549 279.999
0.037477 279.999
0.0378894 279.998
0.0382923 279.996
0.0386859 279.993
0.0390705 279.988
0.0394462 279.98
0.0398133 279.965
0.040172 279.942
0.0405224 279.904
0.0408647 279.843
0.0411992 279.747
0.041526 279.599
0.0418453 279.376
0.0421573 279.046
0.042462 278.573
0.0427598 277.918
0.0430507 277.047
0.043335 275.94
0.0436127 274.604
0.043884 273.072
0.044149 271.401
0.044408 269.661
0.0446611 267.913
0.0449083 266.201
0.0451498 264.545
0.0453858 262.938
0.0456163 261.349
0.0458416 259.727
0.0460616 258.003
0.0462766 256.106
0.0464867 253.972
0.046692 251.575
0.0468925 248.938
0.0470884 246.14
0.0472798 243.298
0.0474668 240.536
0.0476495 237.956
0.047828 235.624
0.0480024 233.566
0.0481728 231.781
0.0483393 230.251
0.0485019 228.949
0.0486608 227.843
0.0488161 226.905
0.0489678 226.109
0.049116 225.431
0.0492608 224.852
0.0494022 224.355
0.0495404 223.927
0.0496755 223.557
0.0498074 223.236
0.0499363 222.955
0.05 222.955
