# time 4763.572
# r Theta_min Theta_mean Theta_max area M=sqrt(A/16pi)
0.56711529 0.84897928 0.91677531 1.011313 59.650924 1.0893656
1.7013459 0.28016016 0.30307652 0.33432106 525.42523 3.2331104
2.8355765 0.16635115 0.18044653 0.19911511 1408.9574 5.2943664
3.969807 0.11849359 0.12887927 0.14281519 2659.8805 7.2743826
5.1040376 0.0927455 0.10109408 0.11274618 4255.4583 9.201068
6.2382682 0.07674458 0.083629947 0.093668452 6186.2538 11.093764
7.3724988 0.065748469 0.071545453 0.080040975 8445.5384 12.962201
8.5067294 0.057686481 0.062685232 0.069806364 11028.859 14.812568
9.64096 0.051364736 0.055905303 0.062041496 13936.106 16.650826
10.775191 0.046301389 0.050520326 0.056045472 17168.86 18.48144
11.909421 0.042246301 0.04610903 0.051273936 20726.976 20.306405
13.043652 0.038925466 0.042408827 0.047235661 24608.672 22.126319
14.177882 0.036115904 0.039260157 0.043735832 28811.657 23.941381
15.312113 0.033693931 0.036548065 0.040636959 33334.084 25.751903
16.446343 0.031646459 0.034189334 0.037930786 38174.264 27.558172
17.580574 0.029812174 0.032115416 0.035603607 43330.526 29.360406
18.714805 0.028188784 0.030275001 0.033548065 48800.113 31.158424
19.849035 0.026767881 0.028631706 0.031673335 54580.732 32.952225
20.983266 0.025487539 0.027156588 0.030027622 60670.298 34.741866
22.117496 0.024319998 0.025825658 0.028539141 67066.66 36.527371
23.251727 0.023268478 0.024620628 0.027170183 73767.969 38.308839
24.385958 0.022339016 0.023525715 0.025968582 80773.565 40.086644
25.520188 0.021418856 0.02252652 0.024873051 88082.389 41.861002
26.654419 0.02049628 0.021606786 0.023847853 95693.149 43.632038
27.788649 0.019523285 0.020753265 0.022901749 103602.46 45.3994
28.92288 0.018616003 0.019957892 0.022028803 111806.67 47.162729
30.05711 0.017782417 0.019216774 0.02122047 120301 48.921491
31.191341 0.017023256 0.018523896 0.020414498 129081.82 50.67545
32.325572 0.016327741 0.017877758 0.019649518 138145.49 52.424396
33.459802 0.015707772 0.017277449 0.018966689 147489.93 54.16843
34.594033 0.01521989 0.016717913 0.018354456 157114.92 55.907978
35.728263 0.014744766 0.016195438 0.017778156 167019.83 57.643334
36.862494 0.014334262 0.015704329 0.017204869 177203.42 59.374659
37.996725 0.013966995 0.015240699 0.016664038 187663.44 61.101928
39.130955 0.013572679 0.014801539 0.016151758 198395.97 62.824855
40.265186 0.013197186 0.014383606 0.015690357 209396.89 64.543154
41.399416 0.012845849 0.0139861 0.015261733 220661.73 66.256514
42.533647 0.012517974 0.013610487 0.014839379 232187.98 67.96494
43.667877 0.012208166 0.013253023 0.014418179 243972.58 69.668359
44.802108 0.011913289 0.012911543 0.014045257 256012 71.366637
45.936339 0.011632128 0.012584625 0.013709984 268302.99 73.05969
47.070569 0.011360693 0.012269077 0.013363099 280840.13 74.747153
48.2048 0.011093124 0.01196567 0.013032609 293616.42 76.428484
49.33903 0.010844544 0.011674202 0.012697916 306625.46 78.103263
50.473261 0.010304073 0.011395025 0.012392153 319861.5 79.771188
51.607492 0.0098004209 0.011126737 0.012099192 333319.86 81.432106
52.741722 0.0094267247 0.010872082 0.011826341 346996.7 83.085979
53.875953 0.0091434652 0.010631459 0.011563562 360894.21 84.733478
55.010183 0.0089537205 0.010402459 0.011307722 375013.47 86.375089
56.144414 0.0088840707 0.010182944 0.011057499 389351.92 88.010854
57.278645 0.0088697448 0.0099728558 0.010815457 403911.15 89.641269
58.412875 0.0088882806 0.0097720855 0.010582407 418691.23 91.266628
59.547106 0.008922086 0.0095801724 0.01036394 433691.51 92.887127
60.681336 0.0088029249 0.0093960229 0.010154827 448912.67 94.503089
61.815567 0.0086391165 0.0092191981 0.0099537978 464353.7 96.114637
62.949797 0.0084813448 0.0090498173 0.0097552887 480013.46 97.721872
64.084028 0.0083289284 0.0088866452 0.0095593265 495892.46 99.325058
65.218259 0.0081807593 0.0087288725 0.009365504 511990.05 100.92432
66.352489 0.0080372827 0.0085765153 0.0091763967 528304.92 102.51972
67.48672 0.00789802 0.008429144 0.0089910032 544834.01 104.11113
68.62095 0.0077616758 0.008286051 0.0088247985 561576.25 105.69865
69.755181 0.0076291591 0.0081467708 0.0086671152 578530.14 107.2823
70.889412 0.0075013164 0.0080120877 0.0086086652 595692.87 108.86199
72.023642 0.0073791198 0.0078819413 0.0086026404 613063.74 110.43784
73.157873 0.0072610457 0.0077560772 0.0086060183 630644.73 112.01017
74.292103 0.0071459035 0.0076335821 0.0086086256 648432.6 113.57886
75.426334 0.0070339206 0.0075144651 0.0086117392 666425.31 115.14387
76.560564 0.0069252452 0.0073991694 0.0086149429 684622.75 116.70534
77.694795 0.0068194911 0.0072875203 0.0086178117 703024.55 118.26339
78.829026 0.0067165963 0.0071791081 0.0086152708 721629.83 119.81807
79.963256 0.0066162582 0.0070733214 0.0086027096 740436.75 121.36936
81.097487 0.0065179335 0.0069700961 0.0085851113 759443.23 122.91722
82.231717 0.0064223495 0.0068696049 0.0085582334 778647.2 124.46162
83.365948 0.0063306784 0.0067717862 0.0085129645 798048.03 126.00262
84.500179 0.006242656 0.0066763067 0.0084555564 817642.97 127.54015
85.634409 0.0061573674 0.0065826991 0.0083911794 837427.38 129.07397
86.76864 0.0060744905 0.0064913852 0.0083295696 857401.99 130.60425
87.90287 0.0059939435 0.0064023853 0.0082623533 877563.56 132.13089
89.037101 0.0059154552 0.0063157316 0.0081879201 897913.22 133.65409
90.171331 0.0058380501 0.0062307681 0.008103521 918445.67 135.17358
91.305562 0.0057620205 0.0061474206 0.0080046146 939158.4 136.68929
92.439793 0.0056873027 0.006065537 0.007881581 960047.45 138.20107
93.574023 0.0056140905 0.0059851974 0.0077338891 981106.46 139.7086
94.708254 0.0055424389 0.0059058187 0.0075641019 1002332.1 141.21177
95.842484 0.0054726788 0.0058280358 0.0073813366 1023717.8 142.71026
96.976715 0.0054043047 0.0057520579 0.0071925521 1045262.7 144.20416
98.110946 0.0053396976 0.0056777742 0.0069942869 1066958.4 145.69304
99.245176 0.0052753382 0.0056050919 0.0068994547 1088795.6 147.17643
100.37941 0.005212135 0.0055337368 0.0068167185 1110770.7 148.65423
101.51364 0.0051505583 0.0054636837 0.0067365683 1132888 150.12691
102.64787 0.0050905857 0.005394805 0.0066602141 1155131.6 151.59358
103.7821 0.0050322038 0.0053276767 0.0065886966 1177489.3 153.0536
104.91633 0.0049754809 0.0052624594 0.0065229321 1199995.5 154.50939
106.05056 0.0049198405 0.0051998007 0.0064780945 1222638.6 155.96032
107.18479 0.0048567234 0.0051383651 0.0064295598 1245427.5 157.4071
108.31902 0.0047945237 0.0050781916 0.0064922528 1268361.1 158.84975
109.45325 0.0047314864 0.0050190838 0.0065679584 1291439.2 160.28839
110.58748 0.0046676461 0.0049614885 0.0066938654 1314637.8 161.72164
111.72171 0.0046054192 0.0049052992 0.0068538401 1338001.9 163.15239
112.85594 0.004542079 0.0048510019 0.0070053955 1361519.3 164.57997
113.99017 0.0044763388 0.0047981405 0.0071368094 1385229 166.00679
115.1244 0.0044053299 0.004746086 0.0072367397 1409109.2 167.43159
116.25863 0.0043326458 0.0046943088 0.0072797148 1433184.5 168.85586
117.39287 0.0042604713 0.0046426793 0.0072333317 1457377.8 170.2751
118.5271 0.0041888663 0.004591389 0.0071349056 1481731.6 171.69192
119.66133 0.0041181885 0.0045396499 0.006982981 1506209.6 173.10427
120.79556 0.0040485076 0.004487748 0.0067761632 1530798.3 174.5115
121.92979 0.0039798845 0.0044354456 0.0065198358 1555518.9 175.91494
123.06402 0.0038957986 0.0043819785 0.0063154799 1580275.9 177.30931
124.19825 0.0038104299 0.0043276953 0.0061798341 1605089.7 178.69595
125.33248 0.0037287895 0.0042723745 0.0059723912 1629904.6 180.07199
126.46671 0.0036545624 0.0042160848 0.0057294922 1654671.8 181.43497
127.60094 0.003536268 0.0041595019 0.0054547376 1679387.9 182.78501
128.73517 0.0033756182 0.004102488 0.0051519837 1704024.4 184.12085
129.8694 0.0031283516 0.0040457081 0.0048253154 1728572.3 185.44232
131.00363 0.0026061597 0.0039887326 0.0045311563 1753015.2 186.74884
132.13786 0.0021026238 0.0039323547 0.0044935821 1777307.6 188.03832
133.27209 0.001624861 0.0038766403 0.0044568814 1801456.6 189.31149
134.40632 0.0011844427 0.0038219701 0.0044210537 1825435.1 190.56725
135.54055 0.00079695879 0.0037685784 0.0043865133 1849282.9 191.80802
136.67479 0.00044551039 0.003716435 0.0043522269 1872970.8 193.03256
137.80902 0.00013022771 0.0036659477 0.0043185596 1896535.3 194.24307
138.94325 -0.00014920942 0.0036169401 0.0042854665 1919973 195.43963
140.07748 -0.00039349632 0.0035694815 0.0042529033 1943288 196.6227
141.21171 -0.00059022627 0.0035237842 0.0042208696 1966497.5 197.79339
142.34594 -0.00076316388 0.0034796143 0.0041889204 1989623 198.95299
143.48017 -0.00090857307 0.0034373458 0.0041573951 2012661.9 200.10157
144.6144 -0.0010280852 0.0033966678 0.0041263075 2035645.2 201.24084
145.74863 -0.0011230993 0.0033577888 0.0040956787 2058590.1 202.37181
146.88286 -0.0011890319 0.0033205491 0.0040653377 2081495.6 203.49457
148.01709 -0.001229937 0.0032848767 0.0040361658 2104393.3 204.61079
149.15132 -0.0012525246 0.0032506125 0.0040076352 2127292 205.721
150.28555 -0.0012590096 0.0032178196 0.0039795582 2150188.8 206.82516
151.41978 -0.0012513528 0.0031862589 0.0039518639 2173109.5 207.9246
152.55401 -0.0012314393 0.0031559841 0.0039244773 2196057.9 209.01958
153.68824 -0.0011967922 0.0031269723 0.003897176 2219043.4 210.1106
154.82247 -0.0011529499 0.0030991448 0.0038696195 2242073.5 211.1981
155.95671 -0.001101822 0.0030725047 0.0038422196 2265152.2 212.28229
157.09094 -0.0010452258 0.0030469739 0.003815005 2288298.1 213.36411
158.22517 -0.00098488942 0.0030224505 0.0037880131 2311533.1 214.44461
159.3594 -0.00092200376 0.0029987861 0.0037608878 2334843.7 215.52317
160.49363 -0.00086313827 0.0029758689 0.0037345813 2358244.1 216.6005
161.62786 -0.00080378501 0.0029537095 0.0037087657 2381725.5 217.67619
162.76209 -0.00074456938 0.0029323795 0.0036834701 2405306.9 218.75114
163.89632 -0.00068607385 0.002911734 0.0036587104 2428986.8 219.82529
165.03055 -0.000629934 0.0028916719 0.0036344902 2452769.1 220.89883
166.16478 -0.00057682665 0.0028722144 0.0036116149 2476646.9 221.97145
167.29901 -0.00052510062 0.0028532744 0.0035885462 2500636.7 223.04391
168.43324 -0.00047537951 0.0028348358 0.0035657772 2524731.3 224.11589
169.56747 -0.00042732222 0.0028167955 0.0035432785 2548931.1 225.18742
170.7017 -0.00038192905 0.0027991818 0.0035210312 2573239.2 226.25863
171.83593 -0.00033781073 0.0027820024 0.0034988182 2597654.4 227.32948
172.97016 -0.00029496115 0.0027652452 0.0034771165 2622174.1 228.39986
174.10439 -0.00025327732 0.0027488381 0.0034557214 2646812 229.47037
175.23863 -0.0002126805 0.002732853 0.0034346311 2671544.9 230.54001
176.37286 -0.00017311626 0.0027172157 0.0034138425 2696399.4 231.60994
177.50709 -0.00013516271 0.0027018884 0.0033931792 2721364.3 232.67966
178.64132 -9.8033512e-05 0.0026868778 0.0033729497 2746438.7 233.74914
179.77555 -6.1700216e-05 0.0026721565 0.0033530563 2771624.9 234.81849
180.90978 -2.6135005e-05 0.0026577417 0.0033334923 2796919.2 235.88756