// location(m)  rho_s([1 -3 0 0 0 0 0])
0 154.78
0.000508844 154.78
0.00151009 153.419
0.00247899 152.236
0.00341657 151.105
0.00432386 149.958
0.00520184 148.752
0.00605145 147.457
0.0068736 146.049
0.00766919 144.513
0.00843907 142.833
0.00918407 141.002
0.00990501 139.01
0.0106026 136.852
0.0112777 134.526
0.011931 132.029
0.0125632 129.363
0.0131749 126.528
0.0137669 123.53
0.0143398 120.374
0.0148941 117.067
0.0154305 113.618
0.0159496 110.038
0.016452 106.337
0.016938 102.53
0.0174084 98.6306
0.0178636 94.6529
0.0183041 90.613
0.0187303 86.527
0.0191428 82.4113
0.019542 78.2825
0.0199282 74.1571
0.020302 70.0513
0.0206637 65.9809
0.0210137 61.9612
0.0213523 58.0065
0.0216801 54.1305
0.0219973 50.3459
0.0223042 46.6642
0.0226012 43.096
0.0228886 39.6505
0.0231667 36.3359
0.0234358 33.1592
0.0236962 30.1262
0.0239482 27.2416
0.0241921 24.5088
0.0244281 21.9304
0.0246565 19.5078
0.0248774 17.2415
0.0250913 15.1313
0.0252982 13.176
0.0254 13.176
