// 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 279.999
0.0327801 279.999
0.0333004 279.998
0.0338088 279.997
0.0343055 279.994
0.0347908 279.991
0.0352649 279.985
0.0357282 279.975
0.0361807 279.958
0.0366229 279.932
0.0370549 279.89
0.037477 279.824
0.0378894 279.723
0.0382923 279.57
0.0386859 279.344
0.0390705 279.017
0.0394462 278.556
0.0398133 277.926
0.040172 277.097
0.0405224 276.051
0.0408647 274.793
0.0411992 273.35
0.041526 271.772
0.0418453 270.12
0.0421573 268.454
0.042462 266.823
0.0427598 265.257
0.0430507 263.768
0.043335 262.349
0.0436127 260.976
0.043884 259.613
0.044149 258.211
0.044408 256.713
0.0446611 255.06
0.0449083 253.202
0.0451498 251.115
0.0453858 248.81
0.0456163 246.339
0.0458416 243.788
0.0460616 241.255
0.0462766 238.831
0.0464867 236.584
0.046692 234.554
0.0468925 232.756
0.0470884 231.184
0.0472798 229.825
0.0474668 228.654
0.0476495 227.65
0.047828 226.789
0.0480024 226.05
0.0481728 225.415
0.0483393 224.868
0.0485019 224.395
0.0486608 223.985
0.0488161 223.629
0.0489678 223.317
0.049116 223.044
0.0492608 222.804
0.0494022 222.591
0.0495404 222.403
0.0496755 222.235
0.0498074 222.085
0.0499363 221.951
0.05 221.951
