// 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 279.999
0.0275098 279.999
0.0281514 279.998
0.0287781 279.997
0.0293905 279.994
0.0299888 279.99
0.0305733 279.982
0.0311444 279.967
0.0317023 279.942
0.0322475 279.898
0.0327801 279.822
0.0333004 279.696
0.0338088 279.49
0.0343055 279.167
0.0347908 278.674
0.0352649 277.956
0.0357282 276.961
0.0361807 275.662
0.0366229 274.074
0.0370549 272.256
0.037477 270.299
0.0378894 268.303
0.0382923 266.35
0.0386859 264.486
0.0390705 262.72
0.0394462 261.02
0.0398133 259.32
0.040172 257.565
0.0405224 255.625
0.0408647 253.315
0.0411992 250.56
0.041526 247.406
0.0418453 244.029
0.0421573 240.838
0.042462 238.045
0.0427598 235.628
0.0430507 233.634
0.043335 232.046
0.0436127 230.813
0.043884 229.875
0.044149 229.173
0.044408 228.66
0.0446611 228.295
0.0449083 228.044
0.0451498 227.884
0.0453858 227.795
0.0456163 227.76
0.0458416 227.769
0.0460616 227.943
0.0462766 228.469
0.0464867 229.005
0.046692 229.547
0.0468925 230.092
0.0470884 231.535
0.0472798 234.024
0.0474668 236.464
0.0476495 238.856
0.047828 241.199
0.0480024 243.516
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
