// location(m)  rho_s([1 -3 0 0 0 0 0])
0 157.813
0.000508844 157.813
0.00151009 157.24
0.00247899 156.739
0.00341657 156.26
0.00432386 155.772
0.00520184 155.256
0.00605145 154.701
0.0068736 154.095
0.00766919 153.43
0.00843907 152.7
0.00918407 151.9
0.00990501 151.025
0.0106026 150.071
0.0112777 149.036
0.011931 147.918
0.0125632 146.714
0.0131749 145.424
0.0137669 144.048
0.0143398 142.584
0.0148941 141.035
0.0154305 139.401
0.0159496 137.685
0.016452 135.889
0.016938 134.017
0.0174084 132.07
0.0178636 130.055
0.0183041 127.974
0.0187303 125.834
0.0191428 123.638
0.019542 121.393
0.0199282 119.104
0.020302 116.777
0.0206637 114.418
0.0210137 112.032
0.0213523 109.626
0.0216801 107.205
0.0219973 104.775
0.0223042 102.341
0.0226012 99.91
0.0228886 97.4857
0.0231667 95.0736
0.0234358 92.6781
0.0236962 90.3036
0.0239482 87.9542
0.0241921 85.6335
0.0244281 83.3449
0.0246565 81.0915
0.0248774 78.8761
0.0250913 76.7011
0.0252982 74.5688
0.0254 74.5688
