slope=0/1 N = 10 count = 2345 slope=0/1 N = 11 count = 6199 slope=0/1 N = 12 count = 16225 slope=0/1 N = 13 count = 42811 slope=0/1 N = 14 count = 112285 slope=0/1 N = 15 count = 296051 slope=0/1 N = 16 count = 777411 slope=0/1 N = 17 count = 2049025 slope=0/1 N = 18 count = 5384855 slope=0/1 N = 19 count = 14190509 slope=0/1 N = 20 count = 37313977 # a1 = 0.1478239 b1 = 2.6308533 # a3 = 0.1338501 b3 = 0.0603577 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2345 2348 2343 11 6199 6177 6174 12 16225 16252 16260 13 42811 42756 42805 14 112285 112486 112645 15 296051 295933 296347 16 777411 778557 779422 17 2049025 2048270 2049470 18 5384855 5388699 5387900 19 14190509 14176876 14161738 20 37313977 37297282 37216957 21 _ 98123677 97791147 22 _ 258149000 256920473 23 _ 679152147 674906591 24 _ 1786749664 1772715444 25 _ 4700676243 4655741280 26 _ 12366789589 12226345786 27 _ 32535209154 32104484793 28 _ 85595362248 84294405692 29 _ 225188840919 221308627584 30 _ 592438804422 580987447597 slope=1/1 N = 10 count = 2574 slope=1/1 N = 11 count = 6489 slope=1/1 N = 12 count = 17627 slope=1/1 N = 13 count = 44848 slope=1/1 N = 14 count = 121204 slope=1/1 N = 15 count = 310245 slope=1/1 N = 16 count = 835292 slope=1/1 N = 17 count = 2147699 slope=1/1 N = 18 count = 5765908 slope=1/1 N = 19 count = 14875214 slope=1/1 N = 20 count = 39848845 # a1 = 0.1612989 b1 = 2.6265832 # a3 = 0.1526600 b3 = 0.0347996 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2574 2521 2520 11 6489 6621 6623 12 17627 17391 17404 13 44848 45679 45722 14 121204 119980 120095 15 310245 315137 315391 16 835292 827733 828141 17 2147699 2174109 2174203 18 5765908 5710477 5707470 19 14875214 14999043 14980990 20 39848845 39396234 39318365 21 _ 103477487 103184051 22 _ 271792227 270766783 23 _ 713884896 710471953 24 _ 1875078070 1864102954 25 _ 4925048546 4890650071 26 _ 12936049739 12830367157 27 _ 33977610838 33658069711 28 _ 89245021591 88291436126 29 _ 234409473838 231594726967 30 _ 615695984446 607464316361 slope=1/2 N = 10 count = 2493 slope=1/2 N = 11 count = 6553 slope=1/2 N = 12 count = 17154 slope=1/2 N = 13 count = 45150 slope=1/2 N = 14 count = 118335 slope=1/2 N = 15 count = 311560 slope=1/2 N = 16 count = 817696 slope=1/2 N = 17 count = 2152599 slope=1/2 N = 18 count = 5655486 slope=1/2 N = 19 count = 14888794 slope=1/2 N = 20 count = 39141276 # a1 = 0.1584526 b1 = 2.6278270 # a3 = 0.1476492 b3 = 0.0432438 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2493 2488 2485 11 6553 6538 6536 12 17154 17181 17189 13 45150 45150 45190 14 118335 118646 118771 15 311560 311782 312094 16 817696 819309 819932 17 2152599 2153002 2153753 18 5655486 5657717 5656518 19 14888794 14867500 14854031 20 39141276 39069218 39002047 21 _ 102667144 102396106 22 _ 269791489 268804698 23 _ 708965347 705588387 24 _ 1863038247 1851955122 25 _ 4895742120 4860454238 26 _ 12865163100 12755373670 27 _ 33807422353 33472003695 28 _ 88840055685 87830318170 29 _ 233456292868 230453459065 30 _ 613482738832 604643880632 slope=1/3 N = 10 count = 2684 slope=1/3 N = 11 count = 7064 slope=1/3 N = 12 count = 18504 slope=1/3 N = 13 count = 48697 slope=1/3 N = 14 count = 127761 slope=1/3 N = 15 count = 336263 slope=1/3 N = 16 count = 883140 slope=1/3 N = 17 count = 2324629 slope=1/3 N = 18 count = 6109638 slope=1/3 N = 19 count = 16084480 slope=1/3 N = 20 count = 42295439 # a1 = 0.1702134 b1 = 2.6286478 # a3 = 0.1573721 b3 = 0.0479024 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2684 2681 2677 11 7064 7048 7045 12 18504 18526 18534 13 48697 48698 48744 14 127761 128011 128158 15 336263 336496 336869 16 883140 884529 885287 17 2324629 2325116 2326082 18 6109638 6111911 6110740 19 16084480 16066060 16050862 20 42295439 42232014 42154621 21 _ 111013092 110698045 22 _ 291814320 290661481 23 _ 767077070 763118511 24 _ 2016375457 2003351384 25 _ 5300340917 5258793571 26 _ 13932729514 13803264296 27 _ 36624238846 36228194142 28 _ 96272225028 95078651204 29 _ 253065772941 249512774563 30 _ 665220788398 654753467823 slope=1/4 N = 10 count = 2435 slope=1/4 N = 11 count = 6439 slope=1/4 N = 12 count = 16806 slope=1/4 N = 13 count = 44360 slope=1/4 N = 14 count = 116131 slope=1/4 N = 15 count = 306157 slope=1/4 N = 16 count = 803192 slope=1/4 N = 17 count = 2116083 slope=1/4 N = 18 count = 5558611 slope=1/4 N = 19 count = 14640492 slope=1/4 N = 20 count = 38488518 # a1 = 0.1545583 b1 = 2.6289783 # a3 = 0.1424111 b3 = 0.0498763 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2435 2438 2433 11 6439 6408 6406 12 16806 16848 16855 13 44360 44292 44334 14 116131 116442 116580 15 306157 306124 306478 16 803192 804793 805521 17 2116083 2115784 2116750 18 5558611 5562350 5561443 19 14640492 14623298 14609603 20 38488518 38444332 38373306 21 _ 101069314 100778014 22 _ 265709029 264638611 23 _ 698543262 694857610 24 _ 1836455048 1824304978 25 _ 4828000393 4789182972 26 _ 12692708067 12571605108 27 _ 33368853553 32998026366 28 _ 87725990509 86607492718 29 _ 230629721775 227297846099 30 _ 606320524366 596498564839 slope=1/5 N = 10 count = 2432 slope=1/5 N = 11 count = 6411 slope=1/5 N = 12 count = 16806 slope=1/5 N = 13 count = 44264 slope=1/5 N = 14 count = 116209 slope=1/5 N = 15 count = 305975 slope=1/5 N = 16 count = 803985 slope=1/5 N = 17 count = 2116947 slope=1/5 N = 18 count = 5565850 slope=1/5 N = 19 count = 14656521 slope=1/5 N = 20 count = 38552482 # a1 = 0.1535682 b1 = 2.6300694 # a3 = 0.1400901 b3 = 0.0559211 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2432 2432 2427 11 6411 6396 6393 12 16806 16823 16831 13 44264 44246 44293 14 116209 116370 116524 15 305975 306062 306459 16 803985 804964 805785 17 2116947 2117112 2118220 18 5565850 5568150 5567227 19 14656521 14644622 14629577 20 38552482 38516371 38437686 21 _ 101300729 100976869 22 _ 266427946 265235369 23 _ 700723984 696611666 24 _ 1842952695 1829380716 25 _ 4847093454 4803693064 26 _ 12748192083 12612683974 27 _ 33528629664 33113403812 28 _ 88182622276 86929423447 29 _ 231926414809 228191138966 30 _ 609982562301 598965568799 slope=1/6 N = 10 count = 2535 slope=1/6 N = 11 count = 6689 slope=1/6 N = 12 count = 17497 slope=1/6 N = 13 count = 46127 slope=1/6 N = 14 count = 120946 slope=1/6 N = 15 count = 318683 slope=1/6 N = 16 count = 836677 slope=1/6 N = 17 count = 2204078 slope=1/6 N = 18 count = 5791494 slope=1/6 N = 19 count = 15255046 slope=1/6 N = 20 count = 40108978 # a1 = 0.1604139 b1 = 2.6295258 # a3 = 0.1470862 b3 = 0.0528592 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2535 2535 2531 11 6689 6666 6663 12 17497 17530 17538 13 46127 46094 46141 14 120946 121207 121359 15 318683 318716 319106 16 836677 838071 838874 17 2204078 2203730 2204794 18 5791494 5794765 5793752 19 15255046 15237485 15222319 20 40108978 40067360 39988773 21 _ 105358159 105035926 22 _ 277041998 275857976 23 _ 728489088 724412176 24 _ 1915580866 1902140096 25 _ 5037069345 4994124559 26 _ 13245103895 13111110565 27 _ 34828342668 34417998018 28 _ 91582026282 90344187979 29 _ 240817302670 237129470986 30 _ 633235315049 622362667058 slope=1/7 N = 10 count = 2512 slope=1/7 N = 11 count = 6627 slope=1/7 N = 12 count = 17340 slope=1/7 N = 13 count = 45691 slope=1/7 N = 14 count = 119841 slope=1/7 N = 15 count = 315676 slope=1/7 N = 16 count = 828990 slope=1/7 N = 17 count = 2183535 slope=1/7 N = 18 count = 5738500 slope=1/7 N = 19 count = 15114995 slope=1/7 N = 20 count = 39744575 # a1 = 0.1589378 b1 = 2.6295251 # a3 = 0.1457459 b3 = 0.0528240 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2512 2512 2507 11 6627 6605 6602 12 17340 17368 17376 13 45691 45670 45717 14 119841 120091 120242 15 315676 315782 316168 16 828990 830356 831149 17 2183535 2183442 2184486 18 5738500 5741416 5740374 19 15114995 15097197 15082048 20 39744575 39698458 39620212 21 _ 104388094 104067672 22 _ 274491118 273314583 23 _ 721781294 717732018 24 _ 1897942058 1884596711 25 _ 4990686355 4948056775 26 _ 13123135233 12990150545 27 _ 34507614003 34100420357 28 _ 90738638525 89510460205 29 _ 238599531126 234940866984 30 _ 627403465366 616617788729 slope=1/8 N = 10 count = 2402 slope=1/8 N = 11 count = 6333 slope=1/8 N = 12 count = 16574 slope=1/8 N = 13 count = 43671 slope=1/8 N = 14 count = 114509 slope=1/8 N = 15 count = 301722 slope=1/8 N = 16 count = 791997 slope=1/8 N = 17 count = 2087036 slope=1/8 N = 18 count = 5482379 slope=1/8 N = 19 count = 14447319 slope=1/8 N = 20 count = 37972702 # a1 = 0.1519959 b1 = 2.6294085 # a3 = 0.1395405 b3 = 0.0521480 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2402 2401 2397 11 6333 6314 6311 12 16574 16601 16609 13 43671 43650 43695 14 114509 114774 114917 15 301722 301789 302153 16 791997 793525 794271 17 2087036 2086503 2087476 18 5482379 5486267 5485241 19 14447319 14425638 14411193 20 37972702 37930895 37856578 21 _ 99735816 99431976 22 _ 262246200 261131570 23 _ 689552379 685718469 24 _ 1813114864 1800484810 25 _ 4767419575 4727088397 26 _ 12535493393 12409712515 27 _ 32960932461 32575882543 28 _ 86667754880 85506587050 29 _ 227884928460 224426454339 30 _ 599202560297 589008522659 slope=1/9 N = 10 count = 2480 slope=1/9 N = 11 count = 6543 slope=1/9 N = 12 count = 17120 slope=1/9 N = 13 count = 45123 slope=1/9 N = 14 count = 118319 slope=1/9 N = 15 count = 311712 slope=1/9 N = 16 count = 818420 slope=1/9 N = 17 count = 2155820 slope=1/9 N = 18 count = 5665176 slope=1/9 N = 19 count = 14922564 slope=1/9 N = 20 count = 39237899 # a1 = 0.1569464 b1 = 2.6294982 # a3 = 0.1439473 b3 = 0.0526958 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2480 2480 2476 11 6543 6522 6519 12 17120 17148 17156 13 45123 45092 45138 14 118319 118569 118718 15 311712 311777 312158 16 818420 819818 820600 17 2155820 2155710 2156743 18 5665176 5668435 5667432 19 14922564 14905138 14890298 20 39237899 39193034 39116231 21 _ 103058012 102743257 22 _ 270990856 269834641 23 _ 712569962 708589551 24 _ 1873701417 1860580576 25 _ 4926894464 4884976237 26 _ 12955260021 12824480510 27 _ 34065832634 33665357372 28 _ 89576044879 88368047982 29 _ 235540046897 231941298959 30 _ 619352124410 608742579132 slope=1/10 N = 10 count = 2394 slope=1/10 N = 11 count = 6314 slope=1/10 N = 12 count = 16525 slope=1/10 N = 13 count = 43544 slope=1/10 N = 14 count = 114201 slope=1/10 N = 15 count = 300818 slope=1/10 N = 16 count = 789925 slope=1/10 N = 17 count = 2080630 slope=1/10 N = 18 count = 5468160 slope=1/10 N = 19 count = 14403590 slope=1/10 N = 20 count = 37876620 # a1 = 0.1514596 b1 = 2.6295220 # a3 = 0.1388952 b3 = 0.0527990 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2394 2394 2389 11 6314 6294 6291 12 16525 16551 16559 13 43544 43521 43565 14 114201 114438 114582 15 300818 300918 301287 16 789925 791272 792026 17 2080630 2080666 2081658 18 5468160 5471157 5470156 19 14403590 14386527 14372068 20 37876620 37829687 37755060 21 _ 99473994 99168486 22 _ 261569052 260447472 23 _ 687801568 683941855 24 _ 1808589331 1795869728 25 _ 4755725369 4715097022 26 _ 12505284313 12378548411 27 _ 32882919768 32494874174 28 _ 86466359773 85295972216 29 _ 227365192174 223878774658 30 _ 597861766683 587584102301 slope=2/3 N = 10 count = 2665 slope=2/3 N = 11 count = 7052 slope=2/3 N = 12 count = 18391 slope=2/3 N = 13 count = 48465 slope=2/3 N = 14 count = 127002 slope=2/3 N = 15 count = 334197 slope=2/3 N = 16 count = 877496 slope=2/3 N = 17 count = 2308944 slope=2/3 N = 18 count = 6067196 slope=2/3 N = 19 count = 15970631 slope=2/3 N = 20 count = 41981440 # a1 = 0.1698881 b1 = 2.6279231 # a3 = 0.1580641 b3 = 0.0440156 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2665 2669 2665 11 7052 7013 7010 12 18391 18430 18437 13 48465 48431 48473 14 127002 127274 127408 15 334197 334467 334808 16 877496 878953 879648 17 2308944 2309821 2310722 18 6067196 6070031 6069041 19 15970631 15951575 15937983 20 41981440 41919513 41849822 21 _ 110161258 109876802 22 _ 289495321 288452972 23 _ 760771455 757189333 24 _ 1999248917 1987457209 25 _ 5253872512 5216243672 26 _ 13806773197 13689492403 27 _ 36283138903 35924317059 28 _ 95349300657 94267818393 29 _ 250570634475 247351184465 30 _ 658480370896 648995654630 slope=2/5 N = 10 count = 2481 slope=2/5 N = 11 count = 6533 slope=2/5 N = 12 count = 17106 slope=2/5 N = 13 count = 45046 slope=2/5 N = 14 count = 118168 slope=2/5 N = 15 count = 311124 slope=2/5 N = 16 count = 817184 slope=2/5 N = 17 count = 2151298 slope=2/5 N = 18 count = 5655356 slope=2/5 N = 19 count = 14887678 slope=2/5 N = 20 count = 39160559 # a1 = 0.1571158 b1 = 2.6290466 # a3 = 0.1447367 b3 = 0.0501007 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2481 2479 2474 11 6533 6516 6514 12 17106 17132 17140 13 45046 45040 45084 14 118168 118412 118554 15 311124 311311 311672 16 817184 818450 819185 17 2151298 2151744 2152686 18 5655356 5657034 5655932 19 14887678 14872607 14857999 20 39160559 39100777 39026188 21 _ 102797763 102493772 22 _ 270260107 269146925 23 _ 710526411 706702075 24 _ 1868007033 1855419601 25 _ 4911077505 4870910005 26 _ 12911451529 12786251121 27 _ 33944807512 33561714827 28 _ 89242480166 88087683371 29 _ 234622637452 231184367135 30 _ 616833843061 606702592506 slope=2/7 N = 10 count = 2544 slope=2/7 N = 11 count = 6716 slope=2/7 N = 12 count = 17545 slope=2/7 N = 13 count = 46290 slope=2/7 N = 14 count = 121167 slope=2/7 N = 15 count = 319611 slope=2/7 N = 16 count = 837780 slope=2/7 N = 17 count = 2209331 slope=2/7 N = 18 count = 5797278 slope=2/7 N = 19 count = 15284742 slope=2/7 N = 20 count = 40141657 # a1 = 0.1614532 b1 = 2.6288086 # a3 = 0.1490119 b3 = 0.0488958 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2544 2545 2540 11 6716 6690 6687 12 17545 17585 17593 13 46290 46229 46273 14 121167 121527 121668 15 319611 319471 319833 16 837780 839828 840569 17 2209331 2207746 2208718 18 5797278 5803741 5802750 19 15284742 15256925 15242693 20 40141657 40107534 40034155 21 _ 105435030 105134795 22 _ 277168510 276066733 23 _ 728622953 724832668 24 _ 1915410261 1902923204 25 _ 5035246903 4995372357 26 _ 13236700194 13112348014 27 _ 34796750866 34416098184 28 _ 91473996771 90326180783 29 _ 240467626344 237049236096 30 _ 632143356156 622068496302 slope=2/9 N = 10 count = 2511 slope=2/9 N = 11 count = 6611 slope=2/9 N = 12 count = 17331 slope=2/9 N = 13 count = 45597 slope=2/9 N = 14 count = 119721 slope=2/9 N = 15 count = 314977 slope=2/9 N = 16 count = 827665 slope=2/9 N = 17 count = 2178233 slope=2/9 N = 18 count = 5726611 slope=2/9 N = 19 count = 15075507 slope=2/9 N = 20 count = 39649236 # a1 = 0.1590171 b1 = 2.6291231 # a3 = 0.1463571 b3 = 0.0505971 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2511 2509 2505 11 6611 6597 6595 12 17331 17345 17353 13 45597 45602 45647 14 119721 119894 120039 15 314977 315216 315585 16 827665 828741 829497 17 2178233 2178862 2179850 18 5726611 5728496 5727464 19 15075507 15060922 15046315 20 39649236 39597019 39521828 21 _ 104105439 103797975 22 _ 273706019 272578034 23 _ 719606831 715726969 24 _ 1891934978 1879153819 25 _ 4974130048 4933317846 26 _ 13077600454 12950325284 27 _ 34382622085 33993018203 28 _ 90396147640 89221313616 29 _ 237662604324 234163636203 30 _ 624844254636 614531500796 slope=3/4 N = 10 count = 2505 slope=3/4 N = 11 count = 6643 slope=3/4 N = 12 count = 17235 slope=3/4 N = 13 count = 45716 slope=3/4 N = 14 count = 118961 slope=3/4 N = 15 count = 315085 slope=3/4 N = 16 count = 822453 slope=3/4 N = 17 count = 2174488 slope=3/4 N = 18 count = 5691693 slope=3/4 N = 19 count = 15024809 slope=3/4 N = 20 count = 39411526 # a1 = 0.1599116 b1 = 2.6276612 # a3 = 0.1491351 b3 = 0.0425757 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2505 2509 2506 11 6643 6594 6592 12 17235 17327 17333 13 45716 45528 45566 14 118961 119633 119755 15 315085 314355 314665 16 822453 826019 826650 17 2174488 2170497 2171314 18 5691693 5703332 5702420 19 15024809 14986424 14974028 20 39411526 39379244 39315773 21 _ 103475313 103216399 22 _ 271898068 270949665 23 _ 714456011 711197614 24 _ 1877348360 1866624562 25 _ 4933035498 4898820566 26 _ 12962346119 12855722231 27 _ 34060654328 33734482721 28 _ 89499860799 88516910757 29 _ 235175314190 232249529249 30 _ 617961055026 609342453453 slope=3/5 N = 10 count = 2605 slope=3/5 N = 11 count = 6861 slope=3/5 N = 12 count = 17957 slope=3/5 N = 13 count = 47221 slope=3/5 N = 14 count = 123868 slope=3/5 N = 15 count = 325894 slope=3/5 N = 16 count = 855499 slope=3/5 N = 17 count = 2252047 slope=3/5 N = 18 count = 5915409 slope=3/5 N = 19 count = 15575646 slope=3/5 N = 20 count = 40938201 # a1 = 0.1657885 b1 = 2.6278046 # a3 = 0.1544729 b3 = 0.0432254 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2605 2603 2599 11 6861 6840 6838 12 17957 17975 17983 13 47221 47235 47276 14 123868 124124 124254 15 325894 326175 326502 16 855499 857124 857781 17 2252047 2252354 2253173 18 5915409 5918747 5917622 19 15575646 15553310 15539675 20 40938201 40871060 40802293 21 _ 107401161 107122384 22 _ 282229265 281211625 23 _ 741643363 738154863 24 _ 1948893845 1937430709 25 _ 5121312222 5084781014 26 _ 13457807842 13344068678 27 _ 35364489422 35016802962 28 _ 92930968162 91883799947 29 _ 244204426098 241089026258 30 _ 641721515502 632548169367 slope=3/7 N = 10 count = 2567 slope=3/7 N = 11 count = 6763 slope=3/7 N = 12 count = 17684 slope=3/7 N = 13 count = 46575 slope=3/7 N = 14 count = 122081 slope=3/7 N = 15 count = 321412 slope=3/7 N = 16 count = 843746 slope=3/7 N = 17 count = 2221150 slope=3/7 N = 18 count = 5836362 slope=3/7 N = 19 count = 15364642 slope=3/7 N = 20 count = 40398247 # a1 = 0.1631123 b1 = 2.6281939 # a3 = 0.1514461 b3 = 0.0453619 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2567 2565 2561 11 6763 6741 6739 12 17684 17716 17724 13 46575 46562 46604 14 122081 122374 122508 15 321412 321624 321962 16 843746 845289 845971 17 2221150 2221583 2222436 18 5836362 5838751 5837610 19 15364642 15345371 15331335 20 40398247 40330611 40259671 21 _ 105996665 105708802 22 _ 278579787 277528353 23 _ 732161698 728555799 24 _ 1924262908 1912409993 25 _ 5057336038 5019551997 26 _ 13291659727 13173991067 27 _ 34933059021 34573281918 28 _ 91810852641 90727053760 29 _ 241296722899 238071749959 30 _ 634174575305 624676950605 slope=3/8 N = 10 count = 2474 slope=3/8 N = 11 count = 6499 slope=3/8 N = 12 count = 17034 slope=3/8 N = 13 count = 44794 slope=3/8 N = 14 count = 117512 slope=3/8 N = 15 count = 309298 slope=3/8 N = 16 count = 811810 slope=3/8 N = 17 count = 2138121 slope=3/8 N = 18 count = 5614376 slope=3/8 N = 19 count = 14792774 slope=3/8 N = 20 count = 38859522 # a1 = 0.1570757 b1 = 2.6280805 # a3 = 0.1460165 b3 = 0.0446734 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2474 2469 2465 11 6499 6488 6486 12 17034 17052 17060 13 44794 44814 44854 14 117512 117774 117902 15 309298 309520 309841 16 811810 813444 814086 17 2138121 2137796 2138583 18 5614376 5618299 5617133 19 14792774 14765341 14751746 20 38859522 38804505 38736318 21 _ 101981363 101705555 22 _ 268015230 267009659 23 _ 704365596 700921111 24 _ 1851129476 1839816880 25 _ 4864917250 4828879247 26 _ 12785394082 12673221472 27 _ 33601044669 33258218487 28 _ 88306249743 87273884712 29 _ 232075931583 229004950434 30 _ 609914226645 600872530869 slope=3/10 N = 10 count = 2523 slope=3/10 N = 11 count = 6638 slope=3/10 N = 12 count = 17382 slope=3/10 N = 13 count = 45766 slope=3/10 N = 14 count = 119981 slope=3/10 N = 15 count = 316064 slope=3/10 N = 16 count = 829266 slope=3/10 N = 17 count = 2185167 slope=3/10 N = 18 count = 5736653 slope=3/10 N = 19 count = 15119933 slope=3/10 N = 20 count = 39713228 # a1 = 0.1600357 b1 = 2.6285222 # a3 = 0.1481400 b3 = 0.0471884 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2523 2520 2516 11 6638 6623 6621 12 17382 17408 17416 13 45766 45758 45801 14 119981 120276 120413 15 316064 316149 316495 16 829266 831004 831704 17 2185167 2184313 2185198 18 5736653 5741515 5740396 19 15119933 15091699 15077509 20 39713228 39668865 39596840 21 _ 104270493 103977689 22 _ 274077305 273006677 23 _ 720418280 716743874 24 _ 1893635442 1881550733 25 _ 4977462797 4938923121 26 _ 13083371458 12963306312 27 _ 34389932315 34022714578 28 _ 90394700515 89288187920 29 _ 237604476980 234311120016 30 _ 624548642337 614847495184 slope=4/5 N = 10 count = 2523 slope=4/5 N = 11 count = 6627 slope=4/5 N = 12 count = 17318 slope=4/5 N = 13 count = 45720 slope=4/5 N = 14 count = 119378 slope=4/5 N = 15 count = 315811 slope=4/5 N = 16 count = 824694 slope=4/5 N = 17 count = 2183207 slope=4/5 N = 18 count = 5705346 slope=4/5 N = 19 count = 15101312 slope=4/5 N = 20 count = 39507024 # a1 = 0.1602452 b1 = 2.6278067 # a3 = 0.1493614 b3 = 0.0430963 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2523 2516 2513 11 6627 6612 6610 12 17318 17374 17382 13 45720 45656 45696 14 119378 119976 120102 15 315811 315273 315587 16 824694 828475 829101 17 2183207 2177073 2177819 18 5705346 5720928 5719675 19 15101312 15033491 15019761 20 39507024 39505109 39436903 21 _ 103811788 103537036 22 _ 272797306 271797938 23 _ 716858577 713440699 24 _ 1883765736 1872553298 25 _ 4950172132 4914484540 26 _ 13008095259 12897091718 27 _ 34182759254 33843704611 28 _ 89825682156 88805182594 29 _ 236044525105 233010149761 30 _ 620279373280 611348848005 slope=4/7 N = 10 count = 2575 slope=4/7 N = 11 count = 6780 slope=4/7 N = 12 count = 17741 slope=4/7 N = 13 count = 46678 slope=4/7 N = 14 count = 122353 slope=4/7 N = 15 count = 322144 slope=4/7 N = 16 count = 845117 slope=4/7 N = 17 count = 2225783 slope=4/7 N = 18 count = 5844495 slope=4/7 N = 19 count = 15392543 slope=4/7 N = 20 count = 40450470 # a1 = 0.1638714 b1 = 2.6277588 # a3 = 0.1527597 b3 = 0.0429496 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2575 2573 2569 11 6780 6760 6758 12 17741 17764 17771 13 46678 46678 46719 14 122353 122659 122787 15 322144 322319 322640 16 845117 846976 847620 17 2225783 2225649 2226444 18 5844495 5848469 5847332 19 15392543 15368365 15354864 20 40450470 40384356 40316467 21 _ 106120346 105845472 22 _ 278858670 277855983 23 _ 732773318 729337668 24 _ 1925551517 1914265805 25 _ 5059884899 5023928237 26 _ 13296156953 13184229207 27 _ 34939093131 34597000563 28 _ 91811508628 90781331500 29 _ 241258497609 238194012813 30 _ 633969134568 624946645326 slope=4/9 N = 10 count = 2551 slope=4/9 N = 11 count = 6716 slope=4/9 N = 12 count = 17570 slope=4/9 N = 13 count = 46243 slope=4/9 N = 14 count = 121277 slope=4/9 N = 15 count = 319088 slope=4/9 N = 16 count = 838028 slope=4/9 N = 17 count = 2205113 slope=4/9 N = 18 count = 5795769 slope=4/9 N = 19 count = 15254369 slope=4/9 N = 20 count = 40113094 # a1 = 0.1621433 b1 = 2.6280270 # a3 = 0.1507898 b3 = 0.0444055 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2551 2548 2544 11 6716 6696 6694 12 17570 17598 17606 13 46243 46247 46289 14 121277 121539 121670 15 319088 319408 319737 16 838028 839414 840073 17 2205113 2206002 2206816 18 5795769 5797433 5796265 19 15254369 15235809 15221962 20 40113094 40040119 39970499 21 _ 105226513 104944632 22 _ 276538116 275509839 23 _ 726749635 723226132 24 _ 1909917660 1898342700 25 _ 5019315173 4982434672 26 _ 13190895783 13076084812 27 _ 34666030232 34315102078 28 _ 91103263329 90046407160 29 _ 239421835545 236277773245 30 _ 629207047493 619949629231 slope=5/6 N = 10 count = 2533 slope=5/6 N = 11 count = 6606 slope=5/6 N = 12 count = 17361 slope=5/6 N = 13 count = 45582 slope=5/6 N = 14 count = 119517 slope=5/6 N = 15 count = 314944 slope=5/6 N = 16 count = 824770 slope=5/6 N = 17 count = 2178048 slope=5/6 N = 18 count = 5701238 slope=5/6 N = 19 count = 15071894 slope=5/6 N = 20 count = 39455525 # a1 = 0.1608078 b1 = 2.6270719 # a3 = 0.1510008 b3 = 0.0387733 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2533 2518 2515 11 6606 6615 6614 12 17361 17377 17385 13 45582 45650 45689 14 119517 119926 120042 15 314944 315055 315338 16 824770 827672 828215 17 2178048 2174354 2174921 18 5701238 5712184 5710652 19 15071894 15006319 14992563 20 39455525 39422679 39356762 21 _ 103566210 103304843 22 _ 272075877 271133873 23 _ 714762882 711560848 24 _ 1877733456 1867275714 25 _ 4932940730 4899768866 26 _ 12959189797 12856293387 27 _ 34044722896 33731140637 28 _ 89437933633 88495903046 29 _ 234959879014 232163429891 30 _ 617256487303 609038044841 slope=5/7 N = 10 count = 2503 slope=5/7 N = 11 count = 6639 slope=5/7 N = 12 count = 17239 slope=5/7 N = 13 count = 45646 slope=5/7 N = 14 count = 119064 slope=5/7 N = 15 count = 314521 slope=5/7 N = 16 count = 823403 slope=5/7 N = 17 count = 2171256 slope=5/7 N = 18 count = 5698568 slope=5/7 N = 19 count = 15010447 slope=5/7 N = 20 count = 39456582 # a1 = 0.1596217 b1 = 2.6279382 # a3 = 0.1485102 b3 = 0.0440525 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2503 2508 2504 11 6639 6590 6587 12 17239 17317 17324 13 45646 45508 45548 14 119064 119593 119719 15 314521 314282 314603 16 823403 825913 826564 17 2171256 2170448 2171282 18 5698568 5703804 5702819 19 15010447 14989245 14976273 20 39456582 39390809 39324646 21 _ 103516613 103247134 22 _ 272035264 271048966 23 _ 714891864 711504967 24 _ 1878691647 1867548622 25 _ 4937085566 4901541174 26 _ 12974355809 12863606827 27 _ 34095805392 33757053924 28 _ 89601669821 88580893292 29 _ 235467651881 232429450484 30 _ 618794439804 609845035765 slope=5/8 N = 10 count = 2501 slope=5/8 N = 11 count = 6604 slope=5/8 N = 12 count = 17248 slope=5/8 N = 13 count = 45403 slope=5/8 N = 14 count = 119045 slope=5/8 N = 15 count = 313166 slope=5/8 N = 16 count = 822185 slope=5/8 N = 17 count = 2163894 slope=5/8 N = 18 count = 5683819 slope=5/8 N = 19 count = 14967043 slope=5/8 N = 20 count = 39327690 # a1 = 0.1594094 b1 = 2.6277093 # a3 = 0.1486302 b3 = 0.0427694 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2501 2502 2498 11 6604 6575 6572 12 17248 17276 17283 13 45403 45396 45435 14 119045 119288 119411 15 313166 313454 313765 16 822185 823666 824294 17 2163894 2164354 2165151 18 5683819 5687293 5686298 19 14967043 14944553 14931850 20 39327690 39269940 39205419 21 _ 103189988 102927659 22 _ 271153292 270194139 23 _ 712512031 709220590 24 _ 1872274501 1861450973 25 _ 4919793143 4885281495 26 _ 12927786263 12820289768 27 _ 33970464368 33641750989 28 _ 89264505609 88274211211 29 _ 234561172767 231614312035 30 _ 616358578301 607679854626 slope=5/9 N = 10 count = 2500 slope=5/9 N = 11 count = 6576 slope=5/9 N = 12 count = 17217 slope=5/9 N = 13 count = 45278 slope=5/9 N = 14 count = 118722 slope=5/9 N = 15 count = 312475 slope=5/9 N = 16 count = 820021 slope=5/9 N = 17 count = 2158991 slope=5/9 N = 18 count = 5671108 slope=5/9 N = 19 count = 14931692 slope=5/9 N = 20 count = 39253011 # a1 = 0.1590447 b1 = 2.6277039 # a3 = 0.1483589 b3 = 0.0425851 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2500 2496 2493 11 6576 6559 6558 12 17217 17236 17244 13 45278 45291 45330 14 118722 119011 119135 15 312475 312727 313036 16 820021 821754 822370 17 2158991 2159326 2160071 18 5671108 5674069 5672896 19 14931692 14909772 14896510 20 39253011 39178466 39112260 21 _ 102949407 102682162 22 _ 270520553 269547375 23 _ 710847899 707517132 24 _ 1867897764 1856965435 25 _ 4908282153 4873472759 26 _ 12897511931 12789208007 27 _ 33890841813 33559955787 28 _ 89055095660 88058994477 29 _ 234010418116 231048130679 30 _ 614910077642 606190592347 slope=6/7 N = 10 count = 2592 slope=6/7 N = 11 count = 6768 slope=6/7 N = 12 count = 17773 slope=6/7 N = 13 count = 46682 slope=6/7 N = 14 count = 122338 slope=6/7 N = 15 count = 322414 slope=6/7 N = 16 count = 844023 slope=6/7 N = 17 count = 2228870 slope=6/7 N = 18 count = 5832536 slope=6/7 N = 19 count = 15418753 slope=6/7 N = 20 count = 40352132 # a1 = 0.1648678 b1 = 2.6267723 # a3 = 0.1552018 b3 = 0.0372024 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2592 2578 2576 11 6768 6773 6772 12 17773 17791 17799 13 46682 46733 46771 14 122338 122758 122872 15 322414 322457 322735 16 844023 847022 847557 17 2228870 2224933 2225502 18 5832536 5844392 5842938 19 15418753 15351888 15338558 20 40352132 40325913 40261784 21 _ 105926990 105672274 22 _ 278246080 277327163 23 _ 730889089 727763630 24 _ 1919879193 1909667324 25 _ 5043085431 5010683965 26 _ 13247036983 13146508746 27 _ 34796949451 34490535666 28 _ 91403662013 90483057198 29 _ 240096605056 237363518551 30 _ 630679105078 622646359893 slope=7/8 N = 10 count = 2546 slope=7/8 N = 11 count = 6580 slope=7/8 N = 12 count = 17442 slope=7/8 N = 13 count = 45419 slope=7/8 N = 14 count = 119977 slope=7/8 N = 15 count = 313879 slope=7/8 N = 16 count = 827101 slope=7/8 N = 17 count = 2171051 slope=7/8 N = 18 count = 5711207 slope=7/8 N = 19 count = 15026393 slope=7/8 N = 20 count = 39485160 # a1 = 0.1614309 b1 = 2.6264230 # a3 = 0.1525910 b3 = 0.0349318 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2546 2521 2519 11 6580 6622 6622 12 17442 17393 17401 13 45419 45680 45717 14 119977 119975 120083 15 313879 315106 315361 16 827101 827602 828070 17 2171051 2173632 2174034 18 5711207 5708877 5707070 19 15026393 14993925 14980047 20 39485160 39380390 39316159 21 _ 103429560 103178927 22 _ 271649771 270755004 23 _ 713467196 710445221 24 _ 1873866622 1864043305 25 _ 4921566313 4890519977 26 _ 12926114746 12830092409 27 _ 33949444509 33657516943 28 _ 89165600423 88290410735 29 _ 234186579893 231593112030 30 _ 615073009564 607462803869 slope=7/9 N = 10 count = 2514 slope=7/9 N = 11 count = 6633 slope=7/9 N = 12 count = 17268 slope=7/9 N = 13 count = 45698 slope=7/9 N = 14 count = 119068 slope=7/9 N = 15 count = 315210 slope=7/9 N = 16 count = 822675 slope=7/9 N = 17 count = 2176457 slope=7/9 N = 18 count = 5691447 slope=7/9 N = 19 count = 15041681 slope=7/9 N = 20 count = 39407918 # a1 = 0.1602713 b1 = 2.6273800 # a3 = 0.1499194 b3 = 0.0408608 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2514 2512 2509 11 6633 6601 6599 12 17268 17343 17350 13 45698 45567 45605 14 119068 119723 119841 15 315210 314557 314855 16 822675 826460 827056 17 2176457 2171425 2172155 18 5691447 5705160 5704069 19 15041681 14989622 14976970 20 39407918 39383433 39320039 21 _ 103475244 103218964 22 _ 271868786 270934782 23 _ 714302606 711104340 24 _ 1876744371 1866243543 25 _ 4930920598 4897477755 26 _ 12955402088 12851333982 27 _ 34038764149 33720785140 28 _ 89432767654 88475451309 29 _ 234973863775 232126779495 30 _ 617365626780 608984995452 slope=7/10 N = 10 count = 2545 slope=7/10 N = 11 count = 6765 slope=7/10 N = 12 count = 17555 slope=7/10 N = 13 count = 46476 slope=7/10 N = 14 count = 121297 slope=7/10 N = 15 count = 320166 slope=7/10 N = 16 count = 838714 slope=7/10 N = 17 count = 2210165 slope=7/10 N = 18 count = 5802061 slope=7/10 N = 19 count = 15279683 slope=7/10 N = 20 count = 40155048 # a1 = 0.1625298 b1 = 2.6279207 # a3 = 0.1511806 b3 = 0.0441023 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2545 2553 2549 11 6765 6709 6707 12 17555 17631 17638 13 46476 46333 46372 14 121297 121760 121888 15 320166 319976 320303 16 838714 840871 841543 17 2210165 2209741 2210636 18 5802061 5807024 5806197 19 15279683 15260400 15247797 20 40155048 40103121 40037715 21 _ 105387821 105119558 22 _ 276950836 275965177 23 _ 727804833 724411652 24 _ 1912613384 1901429948 25 _ 5026196298 4990475769 26 _ 13208445282 13097032426 27 _ 34710746740 34369680888 28 _ 91217089785 90188633227 29 _ 239711278216 236648450411 30 _ 629942229461 620915836281 slope=8/9 N = 10 count = 2589 slope=8/9 N = 11 count = 6706 slope=8/9 N = 12 count = 17748 slope=8/9 N = 13 count = 46276 slope=8/9 N = 14 count = 122126 slope=8/9 N = 15 count = 319737 slope=8/9 N = 16 count = 842134 slope=8/9 N = 17 count = 2211269 slope=8/9 N = 18 count = 5815950 slope=8/9 N = 19 count = 15303446 slope=8/9 N = 20 count = 40212536 # a1 = 0.1642302 b1 = 2.6265821 # a3 = 0.1549783 b3 = 0.0358915 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2589 2567 2564 11 6706 6741 6741 12 17748 17707 17716 13 46276 46509 46547 14 122126 122159 122271 15 319737 320862 321128 16 842134 842769 843266 17 2211269 2213603 2214060 18 5815950 5814211 5812460 19 15303446 15271502 15257469 20 40212536 40111854 40046243 21 _ 105357078 105099835 22 _ 276729017 275808030 23 _ 726851487 723734938 24 _ 1909135116 1898989999 25 _ 5014500156 4982401611 26 _ 13170996436 13071632373 27 _ 34594703702 34292397063 28 _ 90865830091 89958968167 29 _ 238666564373 235977824211 30 _ 626877329934 618983930004 slope=9/10 N = 10 count = 2553 slope=9/10 N = 11 count = 6563 slope=9/10 N = 12 count = 17487 slope=9/10 N = 13 count = 45316 slope=9/10 N = 14 count = 120279 slope=9/10 N = 15 count = 313230 slope=9/10 N = 16 count = 829127 slope=9/10 N = 17 count = 2166940 slope=9/10 N = 18 count = 5724596 slope=9/10 N = 19 count = 15000350 slope=9/10 N = 20 count = 39570936 # a1 = 0.1614819 b1 = 2.6264351 # a3 = 0.1527083 b3 = 0.0347890 #N exact_c a b^N a mu^N N^b #- ------------- ------------- -------------- 10 2553 2522 2520 11 6563 6625 6625 12 17487 17399 17409 13 45316 45697 45735 14 120279 120021 120130 15 313230 315227 315482 16 829127 827924 828378 17 2166940 2174490 2174826 18 5724596 5711156 5709101 19 15000350 14999980 14985263 20 39570936 39396473 39329561 21 _ 103472279 103213378 22 _ 271763224 270843607 23 _ 713768468 710673197 24 _ 1874666553 1864630126 25 _ 4923690021 4892031039 26 _ 12931752256 12833984717 27 _ 33964407937 33667546227 28 _ 89205312912 88316260743 29 _ 234291964292 231659757493 30 _ 615352636969 607634670536 ---------------------------------------------------------------- slopes: 0/1 1/1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 2/3 2/5 2/7 2/9 3/4 3/5 3/7 3/8 3/10 4/5 4/7 4/9 5/6 5/7 5/8 5/9 6/7 7/8 7/9 7/10 8/9 9/10 slopes in floating-point: 0.000000 1.000000 0.500000 0.333333 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.666667 0.400000 0.285714 0.222222 0.750000 0.600000 0.428571 0.375000 0.300000 0.800000 0.571429 0.444444 0.833333 0.714286 0.625000 0.555556 0.857143 0.875000 0.777778 0.700000 0.888889 0.900000 slopes to degrees: atan2(0.000000, 1) / $pi * 180 atan2(1.000000, 1) / $pi * 180 atan2(0.500000, 1) / $pi * 180 atan2(0.333333, 1) / $pi * 180 atan2(0.250000, 1) / $pi * 180 atan2(0.200000, 1) / $pi * 180 atan2(0.166667, 1) / $pi * 180 atan2(0.142857, 1) / $pi * 180 atan2(0.125000, 1) / $pi * 180 atan2(0.111111, 1) / $pi * 180 atan2(0.100000, 1) / $pi * 180 atan2(0.666667, 1) / $pi * 180 atan2(0.400000, 1) / $pi * 180 atan2(0.285714, 1) / $pi * 180 atan2(0.222222, 1) / $pi * 180 atan2(0.750000, 1) / $pi * 180 atan2(0.600000, 1) / $pi * 180 atan2(0.428571, 1) / $pi * 180 atan2(0.375000, 1) / $pi * 180 atan2(0.300000, 1) / $pi * 180 atan2(0.800000, 1) / $pi * 180 atan2(0.571429, 1) / $pi * 180 atan2(0.444444, 1) / $pi * 180 atan2(0.833333, 1) / $pi * 180 atan2(0.714286, 1) / $pi * 180 atan2(0.625000, 1) / $pi * 180 atan2(0.555556, 1) / $pi * 180 atan2(0.857143, 1) / $pi * 180 atan2(0.875000, 1) / $pi * 180 atan2(0.777778, 1) / $pi * 180 atan2(0.700000, 1) / $pi * 180 atan2(0.888889, 1) / $pi * 180 atan2(0.900000, 1) / $pi * 180 degrees: 0.000000 45.000000 26.565051 18.434932 14.036243 11.309932 9.462341 8.130094 7.125016 6.340185 5.710593 33.690081 21.801409 15.945381 12.528796 36.869898 30.963757 23.198570 20.556045 16.699244 38.659808 29.744900 23.962468 39.805560 35.537689 32.005383 29.054624 40.601299 41.185925 37.874992 34.992020 41.633543 41.987212 a3 estimators: 0.1338501 0.1526600 0.1476492 0.1573721 0.1424111 0.1400901 0.1470862 0.1457459 0.1395405 0.1439473 0.1388952 0.1580641 0.1447367 0.1490119 0.1463571 0.1491351 0.1544729 0.1514461 0.1460165 0.1481400 0.1493614 0.1527597 0.1507898 0.1510008 0.1485102 0.1486302 0.1483589 0.1552018 0.1525910 0.1499194 0.1511806 0.1549783 0.1527083 degrees and a3 estimators, sorted by degrees: 0.000000 0.1338501 # 0/1 5.710593 0.1388952 # 1/10 6.340185 0.1439473 # 1/9 7.125016 0.1395405 # 1/8 8.130094 0.1457459 # 1/7 9.462341 0.1470862 # 1/6 11.309932 0.1400901 # 1/5 12.528796 0.1463571 # 2/9 14.036243 0.1424111 # 1/4 15.945381 0.1490119 # 2/7 16.699244 0.1481400 # 3/10 18.434932 0.1573721 # 1/3 20.556045 0.1460165 # 3/8 21.801409 0.1447367 # 2/5 23.198570 0.1514461 # 3/7 23.962468 0.1507898 # 4/9 26.565051 0.1476492 # 1/2 29.054624 0.1483589 # 5/9 29.744900 0.1527597 # 4/7 30.963757 0.1544729 # 3/5 32.005383 0.1486302 # 5/8 33.690081 0.1580641 # 2/3 34.992020 0.1511806 # 7/10 35.537689 0.1485102 # 5/7 36.869898 0.1491351 # 3/4 37.874992 0.1499194 # 7/9 38.659808 0.1493614 # 4/5 39.805560 0.1510008 # 5/6 40.601299 0.1552018 # 6/7 41.185925 0.1525910 # 7/8 41.633543 0.1549783 # 8/9 41.987212 0.1527083 # 9/10 45.000000 0.1526600 # 1/1 slopes and degrees: 0/1 0.000000 1/10 5.710593 1/9 6.340185 1/8 7.125016 1/7 8.130094 1/6 9.462341 1/5 11.309932 2/9 12.528796 1/4 14.036243 2/7 15.945381 3/10 16.699244 1/3 18.434932 3/8 20.556045 2/5 21.801409 3/7 23.198570 4/9 23.962468 1/2 26.565051 5/9 29.054624 4/7 29.744900 3/5 30.963757 5/8 32.005383 2/3 33.690081 7/10 34.992020 5/7 35.537689 3/4 36.869898 7/9 37.874992 4/5 38.659808 5/6 39.805560 6/7 40.601299 7/8 41.185925 8/9 41.633543 9/10 41.987212 1/1 45.000000 #theta c(10) c(11) c(12) c(13) c(14) c(15) c(16) c(17) c(18) c(19) c(20) #-------- ----- ----- ----- ----- ----- ----- ----- ----- ----- ----- ----- 0.000000 2345 6199 16225 42811 112285 296051 777411 2049025 5384855 14190509 37313977 5.710593 2394 6314 16525 43544 114201 300818 789925 2080630 5468160 14403590 37876620 6.340185 2480 6543 17120 45123 118319 311712 818420 2155820 5665176 14922564 39237899 7.125016 2402 6333 16574 43671 114509 301722 791997 2087036 5482379 14447319 37972702 8.130094 2512 6627 17340 45691 119841 315676 828990 2183535 5738500 15114995 39744575 9.462341 2535 6689 17497 46127 120946 318683 836677 2204078 5791494 15255046 40108978 11.309932 2432 6411 16806 44264 116209 305975 803985 2116947 5565850 14656521 38552482 12.528796 2511 6611 17331 45597 119721 314977 827665 2178233 5726611 15075507 39649236 14.036243 2435 6439 16806 44360 116131 306157 803192 2116083 5558611 14640492 38488518 15.945381 2544 6716 17545 46290 121167 319611 837780 2209331 5797278 15284742 40141657 16.699244 2523 6638 17382 45766 119981 316064 829266 2185167 5736653 15119933 39713228 18.434932 2684 7064 18504 48697 127761 336263 883140 2324629 6109638 16084480 42295439 20.556045 2474 6499 17034 44794 117512 309298 811810 2138121 5614376 14792774 38859522 21.801409 2481 6533 17106 45046 118168 311124 817184 2151298 5655356 14887678 39160559 23.198570 2567 6763 17684 46575 122081 321412 843746 2221150 5836362 15364642 40398247 23.962468 2551 6716 17570 46243 121277 319088 838028 2205113 5795769 15254369 40113094 26.565051 2493 6553 17154 45150 118335 311560 817696 2152599 5655486 14888794 39141276 29.054624 2500 6576 17217 45278 118722 312475 820021 2158991 5671108 14931692 39253011 29.744900 2575 6780 17741 46678 122353 322144 845117 2225783 5844495 15392543 40450470 30.963757 2605 6861 17957 47221 123868 325894 855499 2252047 5915409 15575646 40938201 32.005383 2501 6604 17248 45403 119045 313166 822185 2163894 5683819 14967043 39327690 33.690081 2665 7052 18391 48465 127002 334197 877496 2308944 6067196 15970631 41981440 34.992020 2545 6765 17555 46476 121297 320166 838714 2210165 5802061 15279683 40155048 35.537689 2503 6639 17239 45646 119064 314521 823403 2171256 5698568 15010447 39456582 36.869898 2505 6643 17235 45716 118961 315085 822453 2174488 5691693 15024809 39411526 37.874992 2514 6633 17268 45698 119068 315210 822675 2176457 5691447 15041681 39407918 38.659808 2523 6627 17318 45720 119378 315811 824694 2183207 5705346 15101312 39507024 39.805560 2533 6606 17361 45582 119517 314944 824770 2178048 5701238 15071894 39455525 40.601299 2592 6768 17773 46682 122338 322414 844023 2228870 5832536 15418753 40352132 41.185925 2546 6580 17442 45419 119977 313879 827101 2171051 5711207 15026393 39485160 41.633543 2589 6706 17748 46276 122126 319737 842134 2211269 5815950 15303446 40212536 41.987212 2553 6563 17487 45316 120279 313230 829127 2166940 5724596 15000350 39570936 45.000000 2574 6489 17627 44848 121204 310245 835292 2147699 5765908 14875214 39848845 #c(10) c(11) c(12) c(13) c(14) c(15) c(16) c(17) c(18) c(19) c(20) #----- ----- ----- ----- ----- ----- ----- ----- ----- ----- ----- 10 2345 2574 2493 2684 2435 2432 2535 2512 2402 2480 2394 2665 2481 2544 2511 2505 2605 2567 2474 2523 2523 2575 2551 2533 2503 2501 2500 2592 2546 2514 2545 2589 2553 11 6199 6489 6553 7064 6439 6411 6689 6627 6333 6543 6314 7052 6533 6716 6611 6643 6861 6763 6499 6638 6627 6780 6716 6606 6639 6604 6576 6768 6580 6633 6765 6706 6563 12 16225 17627 17154 18504 16806 16806 17497 17340 16574 17120 16525 18391 17106 17545 17331 17235 17957 17684 17034 17382 17318 17741 17570 17361 17239 17248 17217 17773 17442 17268 17555 17748 17487 13 42811 44848 45150 48697 44360 44264 46127 45691 43671 45123 43544 48465 45046 46290 45597 45716 47221 46575 44794 45766 45720 46678 46243 45582 45646 45403 45278 46682 45419 45698 46476 46276 45316 14 112285 121204 118335 127761 116131 116209 120946 119841 114509 118319 114201 127002 118168 121167 119721 118961 123868 122081 117512 119981 119378 122353 121277 119517 119064 119045 118722 122338 119977 119068 121297 122126 120279 15 296051 310245 311560 336263 306157 305975 318683 315676 301722 311712 300818 334197 311124 319611 314977 315085 325894 321412 309298 316064 315811 322144 319088 314944 314521 313166 312475 322414 313879 315210 320166 319737 313230 16 777411 835292 817696 883140 803192 803985 836677 828990 791997 818420 789925 877496 817184 837780 827665 822453 855499 843746 811810 829266 824694 845117 838028 824770 823403 822185 820021 844023 827101 822675 838714 842134 829127 17 2049025 2147699 2152599 2324629 2116083 2116947 2204078 2183535 2087036 2155820 2080630 2308944 2151298 2209331 2178233 2174488 2252047 2221150 2138121 2185167 2183207 2225783 2205113 2178048 2171256 2163894 2158991 2228870 2171051 2176457 2210165 2211269 2166940 18 5384855 5765908 5655486 6109638 5558611 5565850 5791494 5738500 5482379 5665176 5468160 6067196 5655356 5797278 5726611 5691693 5915409 5836362 5614376 5736653 5705346 5844495 5795769 5701238 5698568 5683819 5671108 5832536 5711207 5691447 5802061 5815950 5724596 19 14190509 14875214 14888794 16084480 14640492 14656521 15255046 15114995 14447319 14922564 14403590 15970631 14887678 15284742 15075507 15024809 15575646 15364642 14792774 15119933 15101312 15392543 15254369 15071894 15010447 14967043 14931692 15418753 15026393 15041681 15279683 15303446 15000350 20 37313977 39848845 39141276 42295439 38488518 38552482 40108978 39744575 37972702 39237899 37876620 41981440 39160559 40141657 39649236 39411526 40938201 40398247 38859522 39713228 39507024 40450470 40113094 39455525 39456582 39327690 39253011 40352132 39485160 39407918 40155048 40212536 39570936 0/1 0.000000 2345 1/10 5.710593 2394 1/8 7.125016 2402 1/5 11.309932 2432 1/4 14.036243 2435 3/8 20.556045 2474 1/9 6.340185 2480 2/5 21.801409 2481 1/2 26.565051 2493 5/9 29.054624 2500 5/8 32.005383 2501 5/7 35.537689 2503 3/4 36.869898 2505 2/9 12.528796 2511 1/7 8.130094 2512 7/9 37.874992 2514 3/10 16.699244 2523 4/5 38.659808 2523 5/6 39.805560 2533 1/6 9.462341 2535 2/7 15.945381 2544 7/10 34.992020 2545 7/8 41.185925 2546 4/9 23.962468 2551 9/10 41.987212 2553 3/7 23.198570 2567 1/1 45.000000 2574 4/7 29.744900 2575 8/9 41.633543 2589 6/7 40.601299 2592 3/5 30.963757 2605 2/3 33.690081 2665 1/3 18.434932 2684