// location(m)  rho_s([1 -3 0 0 0 0 0])
0 156.761
0.000508844 156.761
0.00151009 155.914
0.00247899 155.175
0.00341657 154.468
0.00432386 153.749
0.00520184 152.991
0.00605145 152.175
0.0068736 151.285
0.00766919 150.312
0.00843907 149.244
0.00918407 148.076
0.00990501 146.801
0.0106026 145.415
0.0112777 143.913
0.011931 142.294
0.0125632 140.556
0.0131749 138.699
0.0137669 136.723
0.0143398 134.629
0.0148941 132.42
0.0154305 130.099
0.0159496 127.671
0.016452 125.14
0.016938 122.513
0.0174084 119.796
0.0178636 116.995
0.0183041 114.12
0.0187303 111.178
0.0191428 108.178
0.019542 105.128
0.0199282 102.039
0.020302 98.9192
0.0206637 95.7778
0.0210137 92.6242
0.0213523 89.4672
0.0216801 86.3157
0.0219973 83.1781
0.0223042 80.0624
0.0226012 76.9762
0.0228886 73.9267
0.0231667 70.9204
0.0234358 67.9633
0.0236962 65.0611
0.0239482 62.2186
0.0241921 59.4403
0.0244281 56.7299
0.0246565 54.0907
0.0248774 51.5255
0.0250913 49.0365
0.0252982 46.6256
0.0254 46.6256
