// location(m)  rho_s([1 -3 0 0 0 0 0])
0 153.555
0.000508844 153.555
0.00151009 151.879
0.00247899 150.423
0.00341657 149.034
0.00432386 147.628
0.00520184 146.151
0.00605145 144.567
0.0068736 142.849
0.00766919 140.977
0.00843907 138.936
0.00918407 136.713
0.00990501 134.302
0.0106026 131.697
0.0112777 128.896
0.011931 125.899
0.0125632 122.708
0.0131749 119.328
0.0137669 115.766
0.0143398 112.033
0.0148941 108.138
0.0154305 104.095
0.0159496 99.921
0.016452 95.6312
0.016938 91.2442
0.0174084 86.7797
0.0178636 82.2579
0.0183041 77.7
0.0187303 73.1275
0.0191428 68.562
0.019542 64.025
0.0199282 59.5376
0.020302 55.1201
0.0206637 50.7922
0.0210137 46.5724
0.0213523 42.4779
0.0216801 38.5247
0.0219973 34.7272
0.0223042 31.0982
0.0226012 27.649
0.0228886 24.389
0.0231667 21.3261
0.0234358 18.4667
0.0236962 15.8152
0.0239482 13.375
0.0241921 11.1476
0.0244281 9.13324
0.0246565 7.33102
0.0248774 5.73877
0.0250913 4.35327
0.0252982 3.17035
0.0254 3.17035
