# r rho_r
0.01 2.04393095872e+16
0.0103677919706 1.96289202585e+16
0.0107491110346 1.88477796351e+16
0.0111444547075 1.80948646747e+16
0.0115543388034 1.73691889094e+16
0.0119792981071 1.66698011439e+16
0.0124198870728 1.59957841985e+16
0.012876680547 1.53462536962e+16
0.0133502745183 1.47203568912e+16
0.0138412868956 1.41172715384e+16
0.0143503583139 1.35362048019e+16
0.0148781529702 1.29763922001e+16
0.0154253594902 1.24370965883e+16
0.0159926918266 1.19176071754e+16
0.0165808901908 1.14172385738e+16
0.0171907220186 1.09353298824e+16
0.0178229829713 1.04712438001e+16
0.0184784979742 1.00243657691e+16
0.0191581222926 9.59410314795e+15
0.0198627426477 9.17988441106e+15
0.0205932783737 8.78115837608e+15
0.0213506826171 8.39739345645e+15
0.0221359435805 8.02807693889e+15
0.0229500858115 7.67271428495e+15
0.0237941715402 7.33082845545e+15
0.0246693020641 7.00195925735e+15
0.0255766191861 6.68566271197e+15
0.0265173067033 6.38151044397e+15
0.027492591952 6.08908909041e+15
0.0285037474091 5.80799972911e+15
0.029552092352 5.53785732576e+15
0.0306389945802 5.27829019916e+15
0.0317658721996 5.02893950405e+15
0.032934195473 4.78945873097e+15
0.0341454887383 4.55951322266e+15
0.0354013323974 4.33877970667e+15
0.0367033649778 4.1269458435e+15
0.0380532852711 3.92370979016e+15
0.0394528545489 3.72877977861e+15
0.0409038988609 3.54187370883e+15
0.0424083114177 3.36271875615e+15
0.0439680550603 3.19105099272e+15
0.0455851648217 3.02661502263e+15
0.0472617505817 2.86916363077e+15
0.0489999998198 2.71845744487e+15
0.0508021804691 2.57426461094e+15
0.0526706438757 2.43636048155e+15
0.0546078278661 2.30452731715e+15
0.0566162599282 2.17855400005e+15
0.0586985605089 2.05823576105e+15
0.0608574464331 1.94337391864e+15
0.063095734448 1.83377563052e+15
0.065416344899 1.72925365744e+15
0.067822305539 1.62962613922e+15
0.0703167554795 1.53471638283e+15
0.0729029492859 1.44435266228e+15
0.075584261224 1.3583680304e+15
0.0783641896622 1.27660014211e+15
0.0812463616362 1.19889108916e+15
0.0842345375813 1.125087246e+15
0.0873326162383 1.05503912662e+15
0.0905446397407 9.88601252106e+14
0.0938747988885 9.25632028533e+14
0.0973274386158 8.6599363491e+14
0.10090706366 8.09551920819e+14
0.104618344439 7.56176313321e+14
0.108466123145 7.05739732701e+14
0.112455420063 6.5811851657e+14
0.116591440118 6.1319235183e+14
0.12087957967 5.70844213956e+14
0.125325433551 5.30960313023e+14
0.129934802368 4.93430045895e+14
0.134713700069 4.58145953949e+14
0.139668361791 4.25003685706e+14
0.144805251992 3.93901963716e+14
0.150131072891 3.64742555046e+14
0.155652773206 3.37430244712e+14
0.161377557224 3.1187281139e+14
0.167312894203 2.87981004781e+14
0.173466528109 2.65668523976e+14
0.17984648773 2.44851996241e+14
0.186461097143 2.25450955611e+14
0.193318986579 2.07387820781e+14
0.200429103681 1.90587871757e+14
0.207800725182 1.74979224827e+14
0.215443469003 1.60492805417e+14
0.223367306805 1.47062318494e+14
0.231582576999 1.34624216174e+14
0.240099998234 1.23117662315e+14
0.248930683383 1.12484493882e+14
0.258086154042 1.02669178944e+14
0.26757835556 9.36187712411e+13
0.277419672628 8.52828612847e+13
0.287622945436 7.76135240258e+13
0.298201486425 7.05652631773e+13
0.309169097658 6.40949523185e+13
0.320540088826 5.81617729583e+13
0.332329295919 5.27271497711e+13
0.344552100582 4.77546832533e+13
0.357224450187 4.32100800818e+13
0.370362878635 3.90610814728e+13
0.383984527933 3.52773898651e+13
0.398107170553 3.18305942595e+13
0.41274923263 2.8694094557e+13
0.427929817994 2.58430252398e+13
0.443668733098 2.3254178737e+13
0.459986512862 2.09059288106e+13
0.476904447464 1.87781542868e+13
0.494444610116 1.68521634428e+13
0.512629885867 1.51106193424e+13
0.531484001458 1.35374663941e+13
0.551031556282 1.21178583815e+13
0.571298054477 1.08380881954e+13
0.592309938203 9.68551946815e+12
0.614094622141 8.64852028808e+12
0.636680529262 7.71639914635e+12
0.660097127913 6.87934324036e+12
0.684374970259 6.12835923578e+12
0.709545732153 5.45521656317e+12
0.73564225446 4.85239330313e+12
0.762698585902 4.31302469154e+12
0.790750027491 3.83085425646e+12
0.819833178577 3.40018757967e+12
0.849985984609 3.01584865881e+12
0.881247786635 2.67313883093e+12
0.913659372639 2.36779820493e+12
0.947263030752 2.09596953894e+12
0.982102604428 1.85416448844e+12
1.01822354965 1.63923214324e+12
1.05567299423 1.44832976448e+12
1.09449979932 1.27889562774e+12
1.13475462312 1.12862387493e+12
1.17648998702 995441274744.0
1.21976034409 877485790427.0
1.26462215015 773086853380.0
1.31113393742 680747241490.0
1.35935639088 599126462742.0
1.40935242745 527025546654.0
1.46118727811 463373148741.0
1.51492857295 407212876372.0
1.57064642947 357691747854.0
1.62841354401 314049700376.0
1.68830528664 275610066454.0
1.75039979948 241770942607.0
1.81477809864 211997378253.0
1.88152417995 185814317007.0
1.95072512854 162800226798.0
2.02247123245 142581359340.0
2.09685610046 124826583568.0
2.17397678418 109242741561.0
2.25393390473 95570479264.6
2.33683178398 83580507951.5
2.42277858066 73070255806.2
2.51188643151 63860872298.9
2.60427159757 55794551103.7
2.70005461585 48732140214.9
2.79936045664 42551010638.6
2.90231868652 37143157570.4
3.00906363742 32413510325.4
3.11973458191 28278429474.9
3.23447591488 24664371658.4
3.35343734194 21506704401.0
3.47677407477 18748654975.1
3.6046470336 16340378909.6
3.73722305718 14238135183.3
3.87467512046 12403556445.9
4.01718256026 10803003798.1
4.16493130927 9406996743.08
4.31811413863 8189709905.0
4.47693090947 7128528991.11
4.64158883361 6203659281.51
4.812302744 5397780649.62
4.98929537493 4695743769.25
5.17279765272 4084302749.07
5.36304899694 3551879960.91
5.56029763285 3088359299.83
5.7648009152 2684904535.58
5.97682566407 2333799792.84
6.19664851297 2028309534.34
6.42455626974 1762555721.84
6.66084629081 1531410097.89
6.90582686913 1330399769.64
7.15981763641 1155624488.27
7.42314998018 1003684205.68
7.69616747611 871615657.607
7.97922633632 756836870.223
8.27269587413 657098618.764
8.57695898591 570441982.884
8.89241265063 495161246.161
9.21946844785 429771478.034
9.55855309469 372980216.583
9.91010900257 323662741.34
10.2745948545 280840487.663
10.6524862033 243662209.179
11.0442760926 211387543.198
11.4504756994 183372676.54
11.8716150016 159057846.731
12.3082434691 137956446.383
12.7609307812 119645527.511
13.230267569 103757527.925
13.7168661871 89973064.1114
14.2213615117 78014654.5367
14.7444117692 67641254.4712
15.2866993952 58643498.3987
15.8489319246 50839559.2516
16.4318429151 44071545.2049
17.0361929037 38202364.8387
17.6627703997 33113000.2869
18.3123929128 28700135.694
18.9859080204 24874095.0365
19.6841944729 21557049.2463
20.4081633404 18681457.7185
21.1587592015 16188713.7674
21.9369613757 14027967.5188
22.7437852011 12155103.1397
23.5802833589 10531850.2939
24.4475472473 9125012.30954
25.3467084051 7905795.8153
26.2789399884 6849228.57787
27.2454583007 5933653.99621
28.2475243806 5140292.2097
29.2864456463 4452859.08453
30.3635776019 3857235.48126
31.480325606 3341180.19806
32.6381467049 2894080.84684
33.8385515343 2506737.67055
35.0831062894 2171175.96355
36.3734347691 1880483.32517
37.7112204942 1628668.47108
39.0982089042 1410538.75729
40.5362096342 1221593.94518
42.0270988764 1057934.06112
43.5728218278 916179.48673
45.1753952283 793401.661332
46.8369099917 687062.991505
48.559533934 594964.747965
50.3455146017 515201.891034
52.1971822044 446123.905828
54.1169526546 386300.849725
56.1073307206 334493.920162
58.1709132937 289629.942383
60.310392777 250779.25627
62.5285605977 217136.550386
64.8283108498 188004.251283
67.2126440696 162778.128098
69.6846711508 140934.817593
72.2476174032 122021.013922
74.9048267608 105644.1014
77.659766145 91464.0379881
80.5160299877 79186.3227926
83.4773449211 68555.9030432
86.5475746401 59351.8952417
89.7307249429 51383.0118599
93.0309489579 44483.5994262
96.4525525623 38510.2063826
100.0 33338.6099741
