// location(m)  rho_s([1 -3 0 0 0 0 0])
0 157.029
0.000508844 157.029
0.00151009 156.251
0.00247899 155.574
0.00341657 154.924
0.00432386 154.264
0.00520184 153.567
0.00605145 152.817
0.0068736 151.999
0.00766919 151.104
0.00843907 150.121
0.00918407 149.046
0.00990501 147.872
0.0106026 146.594
0.0112777 145.209
0.011931 143.716
0.0125632 142.111
0.0131749 140.395
0.0137669 138.568
0.0143398 136.63
0.0148941 134.585
0.0154305 132.433
0.0159496 130.18
0.016452 127.828
0.016938 125.385
0.0174084 122.854
0.0178636 120.243
0.0183041 117.558
0.0187303 114.807
0.0191428 111.997
0.019542 109.137
0.0199282 106.234
0.020302 103.297
0.0206637 100.335
0.0210137 97.3556
0.0213523 94.367
0.0216801 91.3772
0.0219973 88.3941
0.0223042 85.4252
0.0226012 82.4774
0.0228886 79.5574
0.0231667 76.6715
0.0234358 73.8254
0.0236962 71.0243
0.0239482 68.2732
0.0241921 65.5762
0.0244281 62.9371
0.0246565 60.3592
0.0248774 57.8454
0.0250913 55.3981
0.0252982 53.0192
0.0254 53.0192
