// 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 280
0.037477 280
0.0378894 280
0.0382923 280
0.0386859 280
0.0390705 279.999
0.0394462 279.999
0.0398133 279.998
0.040172 279.997
0.0405224 279.995
0.0408647 279.991
0.0411992 279.984
0.041526 279.972
0.0418453 279.951
0.0421573 279.917
0.042462 279.862
0.0427598 279.772
0.0430507 279.631
0.043335 279.413
0.0436127 279.085
0.043884 278.607
0.044149 277.935
0.044408 277.03
0.0446611 275.872
0.0449083 274.465
0.0451498 272.852
0.0453858 271.097
0.0456163 269.273
0.0458416 267.444
0.0460616 265.646
0.0462766 263.884
0.0464867 262.129
0.046692 260.325
0.0468925 258.393
0.0470884 256.249
0.0472798 253.83
0.0474668 251.119
0.0476495 248.173
0.047828 245.109
0.0480024 242.077
0.0481728 239.212
0.0483393 236.61
0.0485019 234.316
0.0486608 232.336
0.0488161 230.65
0.0489678 229.227
0.049116 228.028
0.0492608 227.02
0.0494022 226.171
0.0495404 225.454
0.0496755 224.845
0.0498074 224.326
0.0499363 223.881
0.05 223.881
