// location(m)  rho_s([1 -3 0 0 0 0 0])
0 155.652
0.000508844 155.652
0.00151009 154.517
0.00247899 153.529
0.00341657 152.584
0.00432386 151.625
0.00520184 150.615
0.00605145 149.528
0.0068736 148.347
0.00766919 147.055
0.00843907 145.641
0.00918407 144.097
0.00990501 142.415
0.0106026 140.59
0.0112777 138.618
0.011931 136.498
0.0125632 134.228
0.0131749 131.809
0.0137669 129.244
0.0143398 126.536
0.0148941 123.69
0.0154305 120.711
0.0159496 117.609
0.016452 114.39
0.016938 111.065
0.0174084 107.643
0.0178636 104.138
0.0183041 100.559
0.0187303 96.9202
0.0191428 93.2341
0.019542 89.514
0.0199282 85.7728
0.020302 82.0239
0.0206637 78.2801
0.0210137 74.554
0.0213523 70.8579
0.0216801 67.2032
0.0219973 63.6011
0.0223042 60.0616
0.0226012 56.5943
0.0228886 53.2078
0.0231667 49.9099
0.0234358 46.7075
0.0236962 43.6064
0.0239482 40.6119
0.0241921 37.7282
0.0244281 34.9587
0.0246565 32.3059
0.0248774 29.7719
0.0250913 27.3577
0.0252982 25.0637
0.0254 25.0637
