// location(m)  rho_s([1 -3 0 0 0 0 0])
0 152.914
0.000508844 152.914
0.00151009 151.073
0.00247899 149.476
0.00341657 147.952
0.00432386 146.412
0.00520184 144.795
0.00605145 143.063
0.0068736 141.186
0.00766919 139.142
0.00843907 136.915
0.00918407 134.495
0.00990501 131.871
0.0106026 129.041
0.0112777 126.002
0.011931 122.755
0.0125632 119.304
0.0131749 115.656
0.0137669 111.82
0.0143398 107.807
0.0148941 103.632
0.0154305 99.3095
0.0159496 94.8586
0.016452 90.2988
0.016938 85.6514
0.0174084 80.939
0.0178636 76.1849
0.0183041 71.4133
0.0187303 66.6484
0.0191428 61.9148
0.019542 57.2363
0.0199282 52.6364
0.020302 48.1377
0.0206637 43.7614
0.0210137 39.5278
0.0213523 35.4552
0.0216801 31.5605
0.0219973 27.8587
0.0223042 24.3629
0.0226012 21.0844
0.0228886 18.0324
0.0231667 15.2143
0.0234358 12.6356
0.0236962 10.2998
0.0239482 8.20895
0.0241921 6.36322
0.0244281 4.7614
0.0246565 3.40084
0.0248774 2.27762
0.0250913 1.38667
0.0252982 0.721936
0.0254 0.721936
