// location(m)  rho_s([1 -3 0 0 0 0 0])
0 151.574
0.000494225 151.574
0.00146659 149.436
0.00240742 147.586
0.00331784 145.832
0.00419885 144.072
0.0050514 142.241
0.00587639 140.294
0.00667473 138.2
0.00744727 135.936
0.00819485 133.486
0.00891828 130.837
0.00961833 127.984
0.0102958 124.922
0.0109513 121.652
0.0115857 118.176
0.0121995 114.501
0.0127935 110.635
0.0133684 106.59
0.0139246 102.38
0.0144629 98.0201
0.0149838 93.5298
0.0154879 88.929
0.0159756 84.2393
0.0164476 79.484
0.0169044 74.6869
0.0173464 69.8731
0.0177741 65.0675
0.018188 60.2955
0.0185885 55.5819
0.0189761 50.951
0.0193512 46.4263
0.0197141 42.0301
0.0200653 37.7836
0.0204052 33.7059
0.0207341 29.815
0.0210523 26.1266
0.0213603 22.6548
0.0216583 19.4113
0.0219467 16.4063
0.0222258 13.6475
0.0224958 11.141
0.0227572 8.89075
0.0230101 6.89889
0.0232548 5.16616
0.0234916 3.69018
0.0237207 2.47256
0.0239425 1.49695
0.0241571 0.786531
0.0243647 0.281386
0.0245667 0.0639856
0.0246666 0.0639856
