213378 388347960 :5 {2562 5600 98527}{689 25480 80520}{583 33306 72800}{1859 7840 96990}{528 41236 64925}
213774 1945343400 :5 {22120 28392 56375}{18960 35875 52052}{20787 30800 55300}{18942 35945 52000}{17875 44240 44772}
219674 1502570160 :5 {8449 38988 62400}{9585 30940 69312}{8512 38340 62985}{12996 20800 76041}{8320 40470 61047}
222404 1367656290 :5 {6251 44550 60401}{12502 16335 82365}{7315 31977 71910}{6137 48195 56870}{8925 24111 78166}
225998 921274200 :5 {8349 9450 95200}{2499 48400 62100}{7344 10780 94875}{2464 52785 57750}{2800 36300 73899}
231322 870233364 :5 {2706 28728 84227}{4712 14391 96558}{2046 51623 61992}{3458 20691 91512}{6776 9747 99138}
235586 2009367360 :5 {20295 22528 74970}{16065 29568 72160}{12705 44608 60480}{14520 34153 69120}{14336 34850 68607}
243602 1551109560 :5 {6253 44400 71148}{6105 47320 68376}{7007 35594 79200}{8450 27104 86247}{5880 57720 58201}
249458 1257268320 :5 {7308 17325 100096}{5152 26400 93177}{5950 22011 96768}{3465 56304 64960}{4312 34017 86400}
257114 1619818200 :5 {9889 21168 97500}{11600 17732 99225}{9625 21840 97092}{7056 32500 89001}{6750 34720 87087}
257278 2207445240 :5 {14382 32032 82225}{12784 38115 77740}{14100 32912 81627}{18564 23595 86480}{11830 43945 72864}
263074 2951690280 :6 {27692 34485 69360}{22287 51170 58080}{24225 41624 65688}{22990 46240 62307}{22440 49665 59432}{22253 51600 57684}
276138 961440480 :5 {1508 53361 83200}{4901 11200 121968}{1872 35525 100672}{1792 38025 98252}{3584 15730 118755}
282854 1211746536 :5 {2967 33264 105196}{4816 18207 118404}{3289 28896 109242}{2576 41327 97524}{6664 12771 121992}
我给一下 mathe没有的。按照周长排序。
{5,{25/52,13/76},{312550,2486647800},{{74375,89091,149084},{63251,100674,148625},{54836,109839,147875},{49875,115526,147149},{42707,124550,145293}}}
{5, {3/10, 165/238}, {316250, 3522519000}, {{83869, 89700, 142681}, {68425, 106717, 141108}, {62653, 114172, 139425}, {57739, 122061, 136450}, {56397, 125050, 134803}}}
{5, {4/11, 34/65}, {318274, 2358410340}, {{50837, 115736, 151701}, {48507, 118382, 151385}, {43769, 123987, 150518}, {36397, 134125, 147752}, {33337, 142406, 142531}}}
{5, {1/12, 95/132}, {319010, 1768591440}, {{56721, 106375, 155914}, {33649, 131400, 153961}, {27835, 138897, 152278}, {26449, 141036, 151525}, {24073, 147185, 147752}}}
{5, {1/7, 40/67}, {325486, 2792669880}, {{69747, 101396, 154343}, {65459, 105959, 154068}, {42623, 134000, 148863}, {41063, 136948, 147475}, {40049, 139494, 145943}}}
{6, {11/28, 5/34}, {376618, 3084501420}, {{76925, 117819, 181874}, {58088, 137921, 180609}, {47025, 150824, 178769}, {43814, 154989, 177815}, {38159, 163982, 174477}, {36729, 167960, 171929}}}
{5, {7/12, 91/244}, {434930, 5224379160}, {{108031, 121369, 205530}, {102350, 127193, 205387}, {89194, 141081, 204655}, {78430, 153049, 203451}, {71553, 161200, 202177}}}
{5, {12/25, 12/91}, {440258, 4358554200}, {{102129, 125749, 212380}, {95004, 133045, 212209}, {69979, 159654, 210625}, {55129, 177177, 207952}, {44629, 195324, 200305}}}
{5, {10/17, 29/36}, {444686, 5322891420}, {{75112, 161443, 208131}, {68875, 169048, 206763}, {66543, 172069, 206074}, {65395, 173608, 205683}, {59983, 181645, 203058}}}
{6, {15/28, 39/68}, {452998, 1386173880}, {{95004, 132179, 225815}, {88556, 138643, 225799}, {28823, 199251, 224924}, {17654, 211565, 223779}, {14934, 215075, 222989}, {12707, 219317, 220974}}}
{5,{2/15,19/104},{455430,1823541720},{{90851,138054,226525},{86938,141987,226505},{61523,167655,226252},{25051,205979,224400},{16779,218251,220400}}}
{5, {11/19, 13/37}, {459762, 9204435240}, {{127636, 144425, 187701}, {115921, 160721, 183120}, {115481, 161538, 182743}, {113905, 164816, 181041}, {112036, 170601, 177125}}}
{5,{51/52,30/59},{4611794,868723635780},{{1314933,1329064,1967797},{1304017,1340127,1967650},{1150561,1512286,1948947},{1110417,1564975,1936402},{1013047,1740913,1857834}}}
{6, {7/23, 9/41}, {465842, 6456570120}, {{123196, 124813, 217833}, {119301, 128740, 217801}, {106641, 141841, 217360}, {69121, 188272, 208449}, {66871, 193154, 205817}, {65481, 198436, 201925}}}
{7, {29/36, 21/44}, {466378, 7639271640}, {{109650, 147059, 209669}, {105425, 151844, 209109}, {97053, 161936, 207389}, {95030, 164549, 206799}, {92191, 168389, 205798}, {84194, 181475, 200709}, {81141, 192473, 192764}}}
{5, {15/26, 33/46}, {483626, 4671827160}, {{85173, 164050, 234403}, {79833, 169708, 234085}, {64713, 186277, 232636}, {47348, 208325, 227953}, {42978, 217525, 223123}}}
{5,{8/19,149/182},{526566,10541851320},{{127875,168188,230503},{113243,186843,226480},{109668,192355,224543},{104747,201936,219883},{102486,211133,212947}}}
{5, {27/35, 5/93}, {582862, 4091691240}, {{139655, 154541, 288666}, {65751, 229811, 287300}, {64464, 231167, 287231}, {41870, 256071, 284921}, {30287, 273231, 279344}}}
{5,{15/52,57/100},{598234,10947682200},{{147742,172237,278255},{121485,200507,276242},{120509,201617,276108},{92036,239581,266617},{87020,253617,257597}}}
{5, {6/19, 51/88}, {638894, 12397099176}, {{153435, 188071, 297388}, {145383, 196555, 296956}, {136873, 205751, 296270}, {97911, 255493, 285490}, {93955, 263908, 281031}}}
{6,{24/41,33/52},{659362,3600116520},{{119884,211381,328097},{53669,278812,326881},{52521,280016,326825},{25585,311026,322751},{24467,312881,322014},{23375,315121,320866}}}
{5,{11/20,58/115},{743314,4526782260},{{175037,198237,370040},{73450,300817,369047},{44827,330977,367510},{30849,347507,364958},{26312,354837,362165}}}
{6, {6/23, 35/78}, {761254, 21101960880}, {{194166, 227411, 339677}, {169845, 254942, 336467}, {168107, 257075, 336072}, {141542, 299117, 320595}, {139859, 305118, 316277}, {139232, 310947, 311075}}}
{6,{19/24,21/136},{788766,17226649440},{{186175,230223,372368},{169423,247775,371568},{124113,299663,364990},{111503,317460,359803},{104975,329448,354343},{102000,338143,348623}}}
{5, {10/31, 44/65}, {811642, 28123395300}, {{229121, 245496, 337025}, {226946, 247845, 336851}, {193609, 295337, 322696}, {192696, 297713, 321233}, {190991, 303446, 317205}}}
{5,{7/22,103/190},{854282,20451511080},{{176436,276661,401185},{159341,295597,399344},{134821,325171,394290},{115237,356091,382954},{113506,360451,380325}}}
{5,{17/22,77/142},{972842,26967180240},{{223125,292591,457126},{172601,348316,451925},{159721,364117,449004},{149668,377521,445653},{145080,384181,443581}}}
{7,{5/23,11/185},{1002478,11578620900},{{180079,325910,496489},{163286,342953,496239},{122322,384989,495167},{112739,394979,494760},{89355,419864,493259},{73625,437414,491439},{61864,451651,488963}}}
{5, {5/12, 11/91}, {1043770, 22251088860}, {{266696, 269945, 507129}, {262725, 273923, 507122}, {169169, 370481, 504120}, {110825, 438857, 494088}, {108901, 441595, 493274}}}
{5,{10/19,49/130},{1102114,53463550140},{{293657,366719,441738},{284889,380282,436943},{281106,387257,433751},{278681,392426,431007},{274550,404547,423017}}}
{5,{19/22,110/119},{1114078,27941076240},{{238204,338995,536879},{227864,349711,536503},{173348,408239,532491},{151151,433938,528989},{112344,498959,502775}}}
{5,{1/16,143/272},{1285570,22029527520},{{293384,356961,635225},{175073,477477,633020},{109616,548129,627825},{94433,566370,624767},{74849,596921,613800}}}
{5, {19/36, 14/41}, {1357018, 47020673700}, {{346122, 363509, 647387}, {239525, 475559, 641934}, {199459, 522709, 634850}, {198645, 523739, 634634}, {183509, 543906, 629603}}}
{5,{13/18,119/198},{1461746,37572719184},{{231192,517825,712729},{224884,524485,712377},{122664,645337,693745},{113977,663085,684684},{111709,674652,675385}}}
{5,{13/18,45/226},{1518946,72727134480},{{398112,417761,703073},{301364,522173,695409},{278545,550088,690313},{233073,624212,661661},{230633,632808,655505}}}
{5,{13/18,145/218},{16462706,2406189108960},{{2531113,5749968,8181625},{2323129,5960653,8178924},{796681,7579897,8086128},{681577,7739001,8042128},{650608,7791865,8020233}}}
{5, {11/12, 75/182}, {2008006, 165961695900}, {{552653, 602875, 852478}, {488495, 679503, 840008}, {458194, 727753, 822059}, {447928, 751303, 808775}, {444738, 761753, 801515}}}
{5,{13/15,56/255},{2012426,139461121800},{{531445,567588,913393},{414323,697765,900338},{375088,751245,886093},{352308,791713,868405},{341185,829588,841653}}}
{5,{14/19,142/175},{2047782,44436869400},{{391391,640452,1015939},{338675,693741,1015366},{187891,849206,1010685},{95565,961766,990451},{94116,964991,988675}}}
{5,{35/37,11/85},{2127278,113022280140},{{516477,593887,1016914},{505609,604950,1016719},{402458,712981,1011839},{285779,850195,991304},{242539,933432,951307}}}
{5,{10/13,45/266},{2244242,151890298560},{{510796,688969,1044477},{457545,747061,1039636},{430921,777517,1035804},{345268,891721,1007253},{321993,946153,976096}}}
{5,{14/17,175/178},{2363306,119110622400},{{581845,636528,1144933},{545493,673285,1144528},{359125,869253,1134928},{328661,903617,1131028},{224928,1059253,1079125}}}
{5,{5/44,43/56},{2534334,142987124280},{{529287,783047,1222000},{381311,941842,1211181},{372476,951891,1209967},{279817,1070399,1184118},{274175,1079637,1180522}}}
{6,{29/50,45/98},{3526922,234893005200},{{863736,942061,1721125},{676549,1132537,1717836},{572320,1241461,1713141},{394461,1439560,1692901},{367336,1473381,1686205},{334225,1518661,1674036}}}
{5,{51/52,30/59},{4611794,868723635780},{{1314933,1329064,1967797},{1304017,1340127,1967650},{1150561,1512286,1948947},{1110417,1564975,1936402},{1013047,1740913,1857834}}}
{5,{37/41,5/57},{5318898,519018066840},{{776729,1959594,2582575},{647907,2101849,2569142},{528941,2245308,2544649},{466089,2336245,2516564},{434625,2400944,2483329}}}
{6,{37/48,23/62},{8779138,2883420084720},{{2277065,2618849,3883224},{2176118,2728651,3874369},{2090489,2825960,3862689},{1884225,3084734,3810179},{1769784,3259625,3749729},{1723409,3348625,3707104}}}
Mathematica太慢了。 用C++/ flint实现了一遍。遗憾的是flint不支持 GMP的 mpz_class，导致很多公式都需要用C语言接口的方式实现，太boring了
多线程搞起来了，然后8组解蹦出来了
{8,{4/5,132/221},{721786,13338605280},{{188105,189428,344253},{179133,198458,344195},{124338,256523,340925},{116093,266029,339664},{91448,299013,331325},{88253,304980,328553},{85981,310493,325312},{85618,311627,324541}}}