// 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 279.999
0.037477 279.999
0.0378894 279.997
0.0382923 279.995
0.0386859 279.989
0.0390705 279.98
0.0394462 279.961
0.0398133 279.927
0.040172 279.917
0.0405224 279.914
0.0408647 279.832
0.0411992 279.627
0.041526 279.239
0.0418453 278.599
0.0421573 277.804
0.042462 276.805
0.0427598 275.45
0.0430507 273.812
0.043335 271.998
0.0436127 270.114
0.043884 268.213
0.044149 266.271
0.044408 264.165
0.0446611 261.685
0.0449083 258.604
0.0451498 254.845
0.0453858 250.635
0.0456163 246.44
0.0458416 242.695
0.0460616 239.744
0.0462766 237.794
0.0464867 236.41
0.046692 235.474
0.0468925 234.881
0.0470884 235.447
0.0472798 237.252
0.0474668 239.151
0.0476495 241.11
0.047828 243.103
0.0480024 245.133
0.0481728 248.685
0.0483393 252.193
0.0485019 255.651
0.0486608 259.054
0.0488161 262.4
0.0489678 265.686
0.049116 271.528
0.0492608 277.957
0.0494022 284.248
0.0495404 292.227
0.0496755 304.34
0.0498074 316.025
0.0499363 327.052
0.05 332.8
