// 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 279.995
0.0352649 279.992
0.0357282 279.986
0.0361807 279.977
0.0366229 279.961
0.0370549 279.937
0.037477 279.898
0.0378894 279.836
0.0382923 279.741
0.0386859 279.597
0.0390705 279.383
0.0394462 279.072
0.0398133 278.63
0.040172 278.023
0.0405224 277.219
0.0408647 276.198
0.0411992 274.962
0.041526 273.534
0.0418453 271.963
0.0421573 270.309
0.042462 268.635
0.0427598 266.99
0.0430507 265.407
0.043335 263.898
0.0436127 262.458
0.043884 261.062
0.044149 259.673
0.044408 258.241
0.0446611 256.707
0.0449083 255.01
0.0451498 253.101
0.0453858 250.96
0.0456163 248.601
0.0458416 246.085
0.0460616 243.5
0.0462766 240.949
0.0464867 238.522
0.046692 236.285
0.0468925 234.273
0.0470884 232.497
0.0472798 230.95
0.0474668 229.615
0.0476495 228.468
0.047828 227.485
0.0480024 226.643
0.0481728 225.921
0.0483393 225.301
0.0485019 224.767
0.0486608 224.305
0.0488161 223.905
0.0489678 223.557
0.049116 223.253
0.0492608 222.986
0.0494022 222.751
0.0495404 222.543
0.0496755 222.359
0.0498074 222.195
0.0499363 222.048
0.05 222.048
