// 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 280
0.0394462 280
0.0398133 279.999
0.040172 280.05
0.0405224 280.154
0.0408647 280.253
0.0411992 280.347
0.041526 280.433
0.0418453 280.505
0.0421573 280.718
0.042462 281.046
0.0427598 281.298
0.0430507 281.431
0.043335 281.384
0.0436127 281.075
0.043884 280.423
0.044149 279.364
0.044408 277.894
0.0446611 276.08
0.0449083 274.037
0.0451498 271.866
0.0453858 269.587
0.0456163 267.083
0.0458416 264.096
0.0460616 260.473
0.0462766 256.379
0.0464867 251.9
0.046692 247.707
0.0468925 244.258
0.0470884 242.57
0.0472798 242.678
0.0474668 243.316
0.0476495 244.339
0.047828 245.636
0.0480024 247.142
0.0481728 250.297
0.0483393 253.497
0.0485019 256.714
0.0486608 259.927
0.0488161 263.121
0.0489678 266.284
0.049116 272.027
0.0492608 278.376
0.0494022 284.599
0.0495404 292.523
0.0496755 304.589
0.0498074 316.187
0.0499363 327.052
0.05 332.8
