// location(m)  rho_s([1 -3 0 0 0 0 0])
0 153.868
0.000508844 153.868
0.00151009 152.272
0.00247899 150.886
0.00341657 149.563
0.00432386 148.222
0.00520184 146.815
0.00605145 145.304
0.0068736 143.665
0.00766919 141.877
0.00843907 139.927
0.00918407 137.804
0.00990501 135.498
0.0106026 133.005
0.0112777 130.323
0.011931 127.451
0.0125632 124.39
0.0131749 121.145
0.0137669 117.723
0.0143398 114.131
0.0148941 110.38
0.0154305 106.482
0.0159496 102.451
0.016452 98.3029
0.016938 94.0538
0.0174084 89.722
0.0178636 85.3266
0.0183041 80.8872
0.0187303 76.424
0.0191428 71.9571
0.019542 67.5068
0.0199282 63.093
0.020302 58.7352
0.0206637 54.4519
0.0210137 50.2609
0.0213523 46.1788
0.0216801 42.221
0.0219973 38.4015
0.0223042 34.7328
0.0226012 31.2262
0.0228886 27.8912
0.0231667 24.7358
0.0234358 21.7666
0.0236962 18.9887
0.0239482 16.4055
0.0241921 14.0194
0.0244281 11.8312
0.0246565 9.84079
0.0248774 8.04671
0.0250913 6.4466
0.0252982 5.03712
0.0254 5.03712
