// location(m)  rho_s([1 -3 0 0 0 0 0])
0 158.568
0.000508844 158.568
0.00151009 158.192
0.00247899 157.864
0.00341657 157.549
0.00432386 157.228
0.00520184 156.889
0.00605145 156.523
0.0068736 156.124
0.00766919 155.685
0.00843907 155.203
0.00918407 154.673
0.00990501 154.094
0.0106026 153.461
0.0112777 152.774
0.011931 152.03
0.0125632 151.227
0.0131749 150.366
0.0137669 149.444
0.0143398 148.462
0.0148941 147.42
0.0154305 146.319
0.0159496 145.159
0.016452 143.941
0.016938 142.667
0.0174084 141.34
0.0178636 139.96
0.0183041 138.53
0.0187303 137.054
0.0191428 135.534
0.019542 133.973
0.0199282 132.375
0.020302 130.744
0.0206637 129.082
0.0210137 127.393
0.0213523 125.682
0.0216801 123.952
0.0219973 122.206
0.0223042 120.448
0.0226012 118.683
0.0228886 116.912
0.0231667 115.141
0.0234358 113.371
0.0236962 111.607
0.0239482 109.85
0.0241921 108.104
0.0244281 106.372
0.0246565 104.655
0.0248774 102.957
0.0250913 101.278
0.0252982 99.6219
0.0254 99.6219
