// location(m)  rho_s([1 -3 0 0 0 0 0])
0 159.296
0.000508844 159.296
0.00151009 159.111
0.00247899 158.95
0.00341657 158.795
0.00432386 158.636
0.00520184 158.469
0.00605145 158.288
0.0068736 158.091
0.00766919 157.874
0.00843907 157.635
0.00918407 157.372
0.00990501 157.084
0.0106026 156.769
0.0112777 156.427
0.011931 156.056
0.0125632 155.654
0.0131749 155.223
0.0137669 154.761
0.0143398 154.267
0.0148941 153.742
0.0154305 153.185
0.0159496 152.598
0.016452 151.979
0.016938 151.331
0.0174084 150.652
0.0178636 149.945
0.0183041 149.21
0.0187303 148.449
0.0191428 147.662
0.019542 146.851
0.0199282 146.017
0.020302 145.162
0.0206637 144.288
0.0210137 143.396
0.0213523 142.488
0.0216801 141.566
0.0219973 140.632
0.0223042 139.687
0.0226012 138.733
0.0228886 137.771
0.0231667 136.805
0.0234358 135.834
0.0236962 134.862
0.0239482 133.889
0.0241921 132.917
0.0244281 131.947
0.0246565 130.981
0.0248774 130.02
0.0250913 129.066
0.0252982 128.119
0.0254 128.119
