// 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 279.999
0.0366229 279.999
0.0370549 279.998
0.037477 279.996
0.0378894 279.994
0.0382923 279.99
0.0386859 279.982
0.0390705 279.97
0.0394462 279.95
0.0398133 279.918
0.040172 279.866
0.0405224 279.784
0.0408647 279.658
0.0411992 279.466
0.041526 279.182
0.0418453 278.77
0.0421573 278.195
0.042462 277.419
0.0427598 276.418
0.0430507 275.186
0.043335 273.744
0.0436127 272.141
0.043884 270.442
0.044149 268.71
0.044408 267
0.0446611 265.342
0.0449083 263.746
0.0451498 262.193
0.0453858 260.648
0.0456163 259.055
0.0458416 257.346
0.0460616 255.452
0.0462766 253.32
0.0464867 250.932
0.046692 248.32
0.0468925 245.569
0.0470884 242.791
0.0472798 240.105
0.0474668 237.604
0.0476495 235.344
0.047828 233.35
0.0480024 231.618
0.0481728 230.131
0.0483393 228.862
0.0485019 227.783
0.0486608 226.865
0.0488161 226.083
0.0489678 225.417
0.049116 224.846
0.0492608 224.356
0.0494022 223.934
0.0495404 223.568
0.0496755 223.249
0.0498074 222.971
0.0499363 222.727
0.05 222.727
