# time 3236.7695 # r Theta_min Theta_mean Theta_max area M=sqrt(A/16pi) 0.56711529 1.287577 1.5307323 1.8497422 21.746168 0.65774331 1.7013459 0.42894626 0.50994885 0.616289 195.586 1.9725769 2.8355765 0.25711237 0.30572294 0.36955614 542.61814 3.2855814 3.969807 0.18345382 0.21819329 0.26385422 1061.762 4.5959856 5.1040376 0.14252667 0.16960132 0.205254 1751.8693 5.9035864 6.2382682 0.11650017 0.13873023 0.16802036 2611.992 7.208601 7.3724988 0.098520986 0.11737418 0.14225278 3641.4522 8.511427 8.5067294 0.085308921 0.1017188 0.12340677 4839.495 9.8121707 9.64096 0.075153845 0.089746757 0.10906646 6205.618 11.111114 10.775191 0.06709177 0.080279874 0.097796504 7739.2414 12.408357 11.909421 0.06055146 0.072607097 0.088643564 9439.533 13.703778 13.043652 0.055251626 0.066265041 0.080774922 11305.726 14.997342 14.177882 0.050880473 0.060925938 0.073902109 13337.007 16.288994 15.312113 0.047172897 0.056362942 0.068115674 15531.775 17.578249 16.446343 0.043937486 0.052432785 0.063600535 17888.495 18.86479 17.580574 0.041100402 0.049006435 0.059442778 20406.362 20.148739 18.714805 0.03859651 0.04599213 0.055526096 23083.722 21.429794 19.849035 0.03638293 0.04332528 0.05214818 25919.093 22.707796 20.983266 0.03441065 0.04095502 0.049510034 28911.621 23.982878 22.117496 0.032635326 0.03883162 0.047065459 32060.908 25.255326 23.251727 0.03101871 0.036914046 0.044560982 35365.886 26.525119 24.385958 0.029542496 0.035168768 0.042380474 38825.171 27.792125 25.520188 0.028197653 0.033577245 0.040400059 42437.172 29.056165 26.654419 0.02697317 0.032122491 0.038607751 46200.425 30.317128 27.788649 0.025853526 0.030788999 0.037007822 50113.939 31.575071 28.92288 0.024820779 0.029562592 0.035583012 54176.86 32.830083 30.05711 0.023861132 0.028426586 0.034271279 58388.381 34.082252 31.191341 0.022939996 0.027371913 0.033062335 62747.398 35.33157 32.325572 0.022115742 0.026391669 0.031876606 67252.193 36.57786 33.459802 0.021341838 0.025479765 0.030774997 71901.682 37.821138 34.594033 0.020605352 0.024628121 0.029835314 76694.951 39.061459 35.728263 0.019914007 0.023831733 0.028984553 81631.001 40.298848 36.862494 0.019269213 0.023084175 0.0281919 86708.82 41.533326 37.996725 0.0186739 0.022381524 0.027450953 91927.311 42.764889 39.130955 0.018122636 0.021719772 0.026716785 97285.584 43.993581 40.265186 0.017605932 0.021097087 0.026000066 102782.8 45.219451 41.399416 0.017116746 0.020505886 0.025292125 108417.96 46.44251 42.533647 0.016654996 0.019940196 0.024601179 114188.21 47.662378 43.667877 0.016213399 0.019397534 0.023952508 120090.47 48.878665 44.802108 0.015790565 0.01888168 0.023341187 126121.63 50.091019 45.936339 0.015373754 0.018391906 0.022736433 132280.42 51.299468 47.070569 0.014982114 0.017924729 0.022165379 138565.43 52.504015 48.2048 0.014590837 0.017482283 0.021617171 144976.08 53.704817 49.33903 0.014232138 0.017062967 0.021086232 151512.53 54.902149 50.473261 0.013875892 0.016664028 0.020577068 158174.23 56.096134 51.607492 0.013533585 0.016282578 0.020124968 164959.93 57.286766 52.741722 0.013207706 0.015920837 0.019705733 171869.42 58.474212 53.875953 0.012896093 0.015576742 0.019310258 178904.01 59.658882 55.010183 0.012596932 0.015245111 0.01893686 186061.55 60.840585 56.144414 0.012307315 0.014924585 0.01857752 193339.73 62.019123 57.278645 0.012028448 0.014617987 0.018222833 200738.57 63.194675 58.412875 0.011761457 0.014323719 0.017867305 208257.53 64.36732 59.547106 0.011508614 0.014039567 0.017514138 215895.38 65.537028 60.681336 0.011266392 0.013766149 0.017159611 223649.38 66.703546 61.815567 0.011031038 0.013501772 0.01678213 231518.58 67.866898 62.949797 0.010800864 0.013244991 0.016405577 239501.77 69.02707 64.084028 0.010580693 0.012996428 0.016045548 247597.1 70.183957 65.218259 0.010375333 0.012757999 0.015730613 255803.75 71.337605 66.352489 0.010183896 0.012528347 0.015451954 264121.89 72.488192 67.48672 0.010005024 0.01230856 0.015194256 272551.05 73.635799 68.62095 0.0098373102 0.012094889 0.014929085 281090.25 74.780431 69.755181 0.0096772942 0.011887868 0.014639756 289737.08 75.921908 70.889412 0.0095215602 0.011687617 0.014351701 298490.56 77.060243 72.023642 0.009369092 0.01149546 0.01407975 307350.26 78.195519 73.157873 0.0092208393 0.011311075 0.013831065 316317.44 79.328024 74.292103 0.0090755344 0.01113307 0.01361493 325391.93 80.457857 75.426334 0.0089352048 0.01096173 0.013419405 334573.69 81.585122 76.560564 0.0088005663 0.010795332 0.013226557 343861.93 82.709828 77.694795 0.0086727194 0.010633151 0.013046769 353256.24 83.832032 78.829026 0.0085507197 0.010475484 0.012859449 362755.46 84.951695 79.963256 0.0084347589 0.010322598 0.012674431 372358.72 86.068817 81.097487 0.0083237327 0.010175397 0.012495504 382065.83 87.183474 82.231717 0.0082165452 0.010033695 0.012331356 391878.62 88.295965 83.365948 0.0081121827 0.0098973436 0.012182424 401798.18 89.406492 84.500179 0.0080096455 0.0097648751 0.012046775 411826.18 90.515312 85.634409 0.0079087706 0.0096359046 0.01191097 421960.99 91.622307 86.76864 0.007810176 0.0095101881 0.011767239 432202.45 92.727529 87.90287 0.0077138461 0.0093872195 0.011621186 442549.72 93.830949 89.037101 0.0076198747 0.0092673537 0.011472938 453000.98 94.93244 90.171331 0.0075274339 0.0091505901 0.011329889 463556.03 96.032048 91.305562 0.0074369732 0.0090371225 0.011193585 474215 97.129849 92.439793 0.0073488404 0.008926876 0.011070262 484978.58 98.225975 93.574023 0.0072631782 0.0088191795 0.010951038 495846.15 99.320419 94.708254 0.0071798088 0.0087140953 0.010831605 506817.75 100.41324 95.842484 0.0070985028 0.008611367 0.010706941 517893.52 101.5045 96.976715 0.007020404 0.008510979 0.010579549 529072.84 102.5942 98.110946 0.0069478899 0.0084128037 0.010444557 540354.6 103.68227 99.245176 0.0068729954 0.0083165703 0.01031529 551737.9 104.76868 100.37941 0.006799585 0.0082227779 0.010186852 563222.32 105.85345 101.51364 0.0067276207 0.0081311486 0.010059744 574809.11 106.93673 102.64787 0.0066570753 0.0080416061 0.0099344818 586497.2 108.01848 103.7821 0.0065879313 0.0079537289 0.009810973 598284.97 109.09859 104.91633 0.0065196389 0.0078676202 0.0096940187 610173.99 110.17725 106.05056 0.0064533218 0.0077837774 0.0095813277 622160.38 111.25416 107.18479 0.0063885185 0.0077017353 0.0094712099 634247.37 112.32965 108.31902 0.006325211 0.0076211986 0.0093648976 646434.78 113.40375 109.45325 0.0062633737 0.0075425198 0.0092624382 658721.66 114.47642 110.58748 0.0062034062 0.0074658385 0.009168102 671108.1 115.5477 111.72171 0.006144554 0.0073911552 0.0090757182 683593.89 116.61762 112.85594 0.0060869456 0.0073179862 0.0089856177 696177.86 117.6861 113.99017 0.0060305277 0.0072463617 0.0088973165 708863.43 118.75348 115.1244 0.0059752547 0.0071759374 0.0088103859 721648.73 119.81964 116.25863 0.0059208322 0.0071066337 0.0087223258 734532.07 120.88445 117.39287 0.0058679522 0.0070389869 0.0086384908 747514.69 121.94807 118.5271 0.0058161634 0.0069726333 0.0085553854 760595.91 123.01047 119.66133 0.0057654048 0.0069074066 0.0084724687 773777.42 124.0718 120.79556 0.0057156097 0.0068432023 0.0083891608 787056.43 125.13189 121.92979 0.0056667054 0.0067801246 0.0083091507 800433.15 126.19077 123.06402 0.0056190294 0.0067177915 0.008217111 813905.7 127.24834 124.19825 0.0055712467 0.0066562872 0.0081350393 827476.03 128.30476 125.33248 0.0055240164 0.006595929 0.0080417886 841139.98 129.35976 126.46671 0.005477458 0.0065365464 0.0079459769 854898.87 130.41347 127.60094 0.0054313245 0.0064781812 0.0078483784 868752.37 131.46589 128.73517 0.0053850027 0.0064208854 0.0077497621 882698.7 132.51692 129.8694 0.0053402818 0.0063644537 0.0076508843 896739.9 133.56674 131.00363 0.0052964811 0.0063090052 0.0075521397 910874.14 134.61525 132.13786 0.0052536171 0.0062545853 0.0074564508 925101.34 135.66247 133.27209 0.0052116876 0.006201171 0.0073625003 939421.44 136.70843 134.40632 0.0051706736 0.0061488265 0.0072706345 953834.72 137.75318 135.54055 0.0051310462 0.0060972426 0.0071815021 968339.52 138.79662 136.67479 0.0050915635 0.0060464801 0.007099993 982936.22 139.83882 137.80902 0.0050527401 0.005996382 0.0070215932 997625.64 140.87985 138.94325 0.0050145574 0.005947195 0.0069465174 1012406.2 141.91963 140.07748 0.004977009 0.005898937 0.0068749505 1027277.3 142.95815 141.21171 0.0049399416 0.0058515447 0.0068106767 1042240.5 143.99554 142.34594 0.0049041991 0.0058050507 0.0067485609 1057295.8 145.03183 143.48017 0.0048691393 0.0057594618 0.0066889528 1072442.8 146.06701 144.6144 0.0048347031 0.0057146627 0.0066314766 1087685.8 147.1014 145.74863 0.0048008241 0.0056705139 0.0065757893 1103019.1 148.13463 146.88286 0.0047677862 0.0056271286 0.0065202602 1118445.3 149.1669 148.01709 0.0047342124 0.0055844606 0.0064664252 1133963.7 150.19817 149.15132 0.0047009278 0.0055425265 0.0064139903 1149573.8 151.22845 150.28555 0.0046679423 0.0055012565 0.0063629249 1165277.4 152.25786 151.41978 0.0046352744 0.0054606215 0.0063132233 1181073.5 153.28637 152.55401 0.0046029517 0.0054206186 0.006265673 1196960.8 154.3139 153.68824 0.0045707035 0.0053812132 0.0062201745 1212941.2 155.34059 154.82247 0.0045394018 0.0053423834 0.0061758307 1229014.5 156.36645 155.95671 0.0045086391 0.0053040162 0.0061324603 1245179.8 157.39144 157.09094 0.0044784205 0.0052662048 0.0060898901 1261437.8 158.41562 158.22517 0.0044487431 0.0052290292 0.006047955 1277786.9 159.4389 159.3594 0.0044199149 0.0051923612 0.0060047787 1294229.7 160.46146 160.49363 0.004391225 0.0051562076 0.0059617993 1310763.9 161.48318 161.62786 0.0043629365 0.0051206152 0.0059199328 1327390.3 162.50412 162.76209 0.0043350408 0.0050856223 0.0058793484 1344108.2 163.52426 163.89632 0.004307537 0.0050510806 0.0058401765 1360919.9 164.54373 165.03055 0.0042804322 0.005016993 0.0058031415 1377822.1 165.56238 166.16478 0.0042537496 0.0049833696 0.0057679478 1394816.2 166.58027 167.29901 0.0042278671 0.0049502374 0.0057339991 1411902.3 167.59745 168.43324 0.0042024098 0.0049174949 0.0057012032 1429080.5 168.61392 169.56747 0.0041773389 0.0048851095 0.0056694646 1446349.2 169.6296 170.7017 0.0041526027 0.004853194 0.0056399621 1463708.2 170.64451 171.83593 0.0041282324 0.0048217045 0.0056119083 1481160.2 171.6588 172.97016 0.0041034744 0.0047905661 0.0055840981 1498702.6 172.67235 174.10439 0.0040788757 0.0047598978 0.0055561774 1516335.3 173.68515 175.23863 0.0040544546 0.0047296083 0.0055278263 1534058.3 174.69722 176.37286 0.004030236 0.0046997648 0.005498759 1551873.5 175.70868 177.50709 0.0040060061 0.0046702482 0.0054658558 1569780.3 176.71951 178.64132 0.0039824549 0.0046410872 0.0054324903 1587777.9 177.72968 179.77555 0.0039592675 0.0046123192 0.0053987484 1605866.7 178.7392 180.90978 0.0039364568 0.0045839 0.0053648659 1624045.5 179.74804