// location(m)  rho_s([1 -3 0 0 0 0 0])
0 158.068
0.000508844 158.068
0.00151009 157.561
0.00247899 157.119
0.00341657 156.695
0.00432386 156.263
0.00520184 155.807
0.00605145 155.315
0.0068736 154.778
0.00766919 154.189
0.00843907 153.542
0.00918407 152.833
0.00990501 152.057
0.0106026 151.211
0.0112777 150.292
0.011931 149.298
0.0125632 148.228
0.0131749 147.081
0.0137669 145.855
0.0143398 144.552
0.0148941 143.171
0.0154305 141.713
0.0159496 140.18
0.016452 138.574
0.016938 136.898
0.0174084 135.154
0.0178636 133.346
0.0183041 131.478
0.0187303 129.553
0.0191428 127.576
0.019542 125.552
0.0199282 123.485
0.020302 121.38
0.0206637 119.243
0.0210137 117.078
0.0213523 114.891
0.0216801 112.687
0.0219973 110.471
0.0223042 108.247
0.0226012 106.021
0.0228886 103.798
0.0231667 101.581
0.0234358 99.3744
0.0236962 97.1829
0.0239482 95.0099
0.0241921 92.8588
0.0244281 90.7327
0.0246565 88.6346
0.0248774 86.567
0.0250913 84.5326
0.0252982 82.5332
0.0254 82.5332
