// location(m)  rho_s([1 -3 0 0 0 0 0])
0 280
0.000636985 280
0.00189631 280
0.00312669 280
0.00432877 280
0.00550322 280
0.00665068 280
0.00777175 280
0.00886704 280
0.00993716 280
0.0109827 280
0.0120042 280
0.0130021 280
0.0139772 280
0.0149298 280
0.0158606 280
0.0167699 280
0.0176583 280
0.0185263 280
0.0193744 280
0.0202029 280
0.0210124 280
0.0218033 280
0.022576 280
0.023331 280
0.0240686 280
0.0247892 280
0.0254933 279.999
0.0261812 279.999
0.0268532 279.999
0.0275098 279.998
0.0281514 279.996
0.0287781 279.994
0.0293905 279.99
0.0299888 279.984
0.0305733 279.975
0.0311444 279.96
0.0317023 279.936
0.0322475 279.898
0.0327801 279.839
0.0333004 279.748
0.0338088 279.609
0.0343055 279.401
0.0347908 279.094
0.0352649 278.654
0.0357282 278.041
0.0361807 277.221
0.0366229 276.177
0.0370549 274.92
0.037477 273.494
0.0378894 271.965
0.0382923 270.406
0.0386859 268.876
0.0390705 267.42
0.0394462 266.058
0.0398133 264.798
0.040172 263.633
0.0405224 262.553
0.0408647 261.544
0.0411992 260.588
0.041526 259.667
0.0418453 258.762
0.0421573 257.848
0.042462 256.899
0.0427598 255.884
0.0430507 254.767
0.043335 253.516
0.0436127 252.1
0.043884 250.5
0.044149 248.716
0.044408 246.768
0.0446611 244.699
0.0449083 242.568
0.0451498 240.439
0.0453858 238.374
0.0456163 236.424
0.0458416 234.621
0.0460616 232.986
0.0462766 231.522
0.0464867 230.226
0.046692 229.088
0.0468925 228.093
0.0470884 227.227
0.0472798 226.472
0.0474668 225.816
0.0476495 225.245
0.047828 224.747
0.0480024 224.313
0.0481728 223.932
0.0483393 223.598
0.0485019 223.303
0.0486608 223.043
0.0488161 222.813
0.0489678 222.609
0.049116 222.426
0.0492608 222.263
0.0494022 222.117
0.0495404 221.986
0.0496755 221.867
0.0498074 221.76
0.0499363 221.662
0.05 221.662
