// location(m)  rho_s([1 -3 0 0 0 0 0])
0 158.813
0.000508844 158.813
0.00151009 158.502
0.00247899 158.23
0.00341657 157.969
0.00432386 157.703
0.00520184 157.421
0.00605145 157.118
0.0068736 156.786
0.00766919 156.422
0.00843907 156.021
0.00918407 155.581
0.00990501 155.099
0.0106026 154.573
0.0112777 154.001
0.011931 153.381
0.0125632 152.712
0.0131749 151.994
0.0137669 151.225
0.0143398 150.405
0.0148941 149.535
0.0154305 148.614
0.0159496 147.643
0.016452 146.623
0.016938 145.554
0.0174084 144.44
0.0178636 143.28
0.0183041 142.077
0.0187303 140.834
0.0191428 139.552
0.019542 138.234
0.0199282 136.883
0.020302 135.502
0.0206637 134.092
0.0210137 132.659
0.0213523 131.203
0.0216801 129.73
0.0219973 128.24
0.0223042 126.739
0.0226012 125.227
0.0228886 123.71
0.0231667 122.188
0.0234358 120.666
0.0236962 119.145
0.0239482 117.629
0.0241921 116.119
0.0244281 114.618
0.0246565 113.127
0.0248774 111.65
0.0250913 110.188
0.0252982 108.742
0.0254 108.742
