// location(m)  rho_s([1 -3 0 0 0 0 0])
0 150.045
0.000472074 150.045
0.00140068 147.599
0.00229899 145.49
0.00316827 143.509
0.00400947 141.542
0.00482349 139.519
0.0056112 137.394
0.00637346 135.131
0.00711109 132.709
0.00782489 130.11
0.00851562 127.324
0.00918403 124.345
0.00983085 121.171
0.0104568 117.804
0.0110625 114.247
0.0116486 110.508
0.0122158 106.598
0.0127646 102.528
0.0132957 98.3145
0.0138097 93.9732
0.014307 89.5228
0.0147883 84.9836
0.015254 80.3768
0.0157047 75.7248
0.0161408 71.0506
0.0165629 66.3776
0.0169713 61.7292
0.0173665 57.1286
0.0177489 52.5987
0.0181189 48.1616
0.0184771 43.8382
0.0188236 39.6484
0.0191589 35.6109
0.0194834 31.7427
0.0197975 28.059
0.0201013 24.5735
0.0203954 21.298
0.0206799 18.2427
0.0209553 15.4154
0.0212218 12.8233
0.0214796 10.469
0.0217291 8.36011
0.0219706 6.48784
0.0222042 4.87012
0.0224303 3.47779
0.0226491 2.34341
0.0228609 1.42115
0.0230658 0.754378
0.023264 0.275467
0.0234585 0.0639768
0.0235555 0.0639768
