id: 1 names: ["P3"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-17] period: [1,0,0,0,24,0,0,0,2520,0,0,0,369600,0,0,0,63063000,0,0,0,11732745024] pf_coefficients: [256,1536,2816,1536,-1] pf_exponents: [[3,4],[2,4],[1,4],[0,4],[3,0]] pf_proven: false id: 2 names: ["MM(2,33)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-33] period: [1,0,0,6,24,0,90,1260,2520,1680,50400,277200,404250,1801800,18918900,63819756,123603480,1029188160,6192282096,16621388784,60619182624] pf_coefficients: [3907926,2152564,39079260,-8420113,40334396,136777410,-9779556,-49722312,188192276,195396300,-3272643,-70490802,-80928641,314524516,93790224,-300370,-20245680,-184349706,-21031434,164514072,55583,-1377859,-44671005,-206673108,18595008,29236,27026,-1436319,-41585976,-83034648,6520,-55638,308369,167022,-13958100,-78,-19917,26258,382806,586008,-27,-33,11,24786,167508,27,3,8748] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[0,3]] pf_proven: false id: 3 names: ["Q3"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-16] period: [1,0,0,12,0,0,540,0,0,33600,0,0,2425500,0,0,190702512,0,0,15849497664,0,0] pf_coefficients: [108,486,702,-1,324] pf_exponents: [[3,3],[2,3],[1,3],[3,0],[0,3]] pf_proven: false id: 4 names: ["MM(2,30)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-30] period: [1,0,0,12,24,0,540,2520,2520,33600,252000,554400,2795100,25225200,88288200,316828512,2605763160,12350257920,43637577984,287452253088,1624985185824] pf_coefficients: [1791552,-3257408,17915520,-11582192,-45601696,62704320,-9712704,-115185632,-192174976,89577600,-3835316,-79497312,-387111760,-306174176,42997248,-651612,-24043768,-227214936,-528768736,-156343488,21859,-3332178,-54853708,-271666248,-245260416,22836,-23202,-5662414,-53819672,-114235920,5444,-18999,5833,-3705592,-19236000,212,-15331,45311,135234,-757392,-23,-585,221,42862,88920,23,5,92,14904] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 5 names: ["MM(2,28)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-28] period: [1,0,0,18,24,0,1350,3780,2520,141120,604800,831600,17521350,99099000,208107900,2461727268,16590614040,46828061280,383269670784,2836391109552,9984566015424] pf_coefficients: [9142617,7509338,91426170,-6248348,40736104,319991595,-43278,-50051136,56683174,457130850,3155890,24372222,-128443030,-2463136,219422808,-1286250,16440620,120919668,-128696358,-25919544,94004,-7078796,26961530,190096824,-44056116,-28090,258124,-14086364,13198072,93592656,7277,31654,794208,-11564832,-594732,-280,-12314,1678,773664,-3347496,280,77,1280,272160] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 6 names: ["MM(2,36)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-36] period: [1,0,2,0,6,60,20,840,70,7560,19152,55440,499884,360360,7570992,10570560,86499270,338978640,827074820,7050288960,11348822056] pf_coefficients: [3250399375,-3204170948,32503993750,1187948800,-31529317928,113763978125,-143432111,11449057600,-109071633868,162519968750,-35253410,-1687146170,38988411800,-154572240328,78009585000,11285220,-18722340,-5899848297,54641064200,-73825753440,1804017,52186598,218099170,-8196454918,25913761200,-1207644,-14878378,38226776,395087700,-3840320680,172828,3221094,-4421943,11221080,193927960,-5337,-400366,47810,-113728,-1023568,-310,15014,24752,-95068,953120,310,-5,17856,-69400,4960] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 7 names: ["MM(2,35)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-35] period: [1,0,2,0,30,0,380,0,5950,0,101052,0,1784244,0,32964360,0,623796030,0,12075506300,0,237707993380] pf_coefficients: [1040000,11440000,165600,42640000,915200,63440000,3296,1392800,31200000,-10032,297600,-706,-66416,-345600,2432,-93408,7,-304,-40320,-14,-112] pf_exponents: [[4,8],[3,8],[4,6],[2,8],[3,6],[1,8],[4,4],[2,6],[0,8],[3,4],[1,6],[4,2],[2,4],[0,6],[3,2],[1,4],[4,0],[2,2],[0,4],[3,0],[1,2]] pf_proven: false id: 8 names: ["MM(3,29)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-29] period: [1,0,2,0,30,60,380,840,5950,22680,119952,471240,2283204,10450440,50622000,237597360,1113885630,5362397040,25583600900,125076116880,598245470680] pf_coefficients: [103969601390814,55053022445529,1559544020862210,894084329282,640930697451852,8837416118219190,-17602230995191,-95163902767760,2830860515559135,23393160312933150,1735252118586,-218988568285956,-774698921945234,5916667677156120,28487670781083036,5372442445156,76318131083742,-1089420255327365,-2188628372842024,5841296188520796,12476352166897680,1706936472924,89183786099684,674118275111442,-2664559225277252,-2598167820633576,2169611351917488,-295868042323,22055068013904,541997528932694,2242370969840106,-3106895251978620,-1088180382639744,-167039411690,-3405517906744,79695923889334,1489557979887458,3105290096160476,-1330369944737968,10024189250,-1878783895864,-16418652190481,111700248943730,1846773041454268,1462454522466656,-7500626688,51013273332,-5761517234864,-40765838885260,36827793030480,815609211500768,-2863081471,58059372264,453502989728,-9054182558478,-48946528233720,-14190557399072,870997160,6118217752,152791530266,1290287008246,-6082213462476,-21381149532176,129842001,-4373082864,2074702511,120583487786,1343862528976,-1423247508224,-22244486,-878485788,5573643768,-9400138176,-12960358088,487210283216,-910380,131299370,1500357121,-3337682376,-23477605536,-43104180832,136784,4652460,-191814794,-127459106,-1479234904,-12619534240,4090,-604720,-3006448,21536470,-107441216,29519088,-400,-16360,427812,234888,22997680,-32969856,1200,12350,24724,194080,8136480,-800,-80,6400,64800] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 9 names: ["MM(2,34)","P1 x P2","P2 x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-34] period: [1,0,2,6,6,120,110,1260,5110,11760,113652,254100,1698774,7639632,25228632,171447276,560012310,3078696192,14425835996,56783093796,324030800236] pf_coefficients: [107730,-211376,1077300,-50139,-1957720,3770550,156996,-1018980,-6461920,5386500,-20520,1635438,-5313195,-8852360,2585520,16194,-214704,5706902,-9558810,-4136784,1782,70185,-759456,7947356,-5214456,-448,-2106,107181,-1059696,3718896,-243,-224,-13608,62406,-494208,24,729,-1024,-18792,9216,-48,-384,-7776] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[1,2],[0,3]] pf_proven: false id: 10 names: ["MM(3,30)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-30] period: [1,0,2,6,30,60,470,1680,7630,34440,170352,753060,3648414,17729712,84676020,413128716,2029920750,10017548112,49345595156,246535635060,1228049113720] pf_coefficients: [22869455308572,49792432633681,343041829628580,28706972572300,789313150187344,1943903701228620,-546910030977,483075001893524,4656623380684175,5145627444428700,-10635545663796,39404538115128,2965487302747728,12688230466452740,6266230754548728,-7709006083586,-92045051505192,351987186850689,8299676300655268,15764459575735044,2744334637028640,-2396815626604,-55266356698012,-425976069131048,1102373876622228,10496826661393268,6993331772412816,-89482531915,-7423669473222,-244943292812556,-1157582594607264,1451233604599068,4708269634164504,282882549604,3050715709652,-13339931837460,-706052466130790,-1544676210657508,660895466681424,125773450328,2085325481180,14606986357205,-48425830107462,-998479025433712,-731660179339896,22794480976,432917601780,6887368656878,21205186703614,-92410039048364,-490156822482024,392935377,12753729028,1336476663000,6880389446218,12692065770884,-52785271949040,-846823788,2269860000,86415547046,303485176608,2643742344672,2261412203448,-169452633,4799477682,-11703675343,-141993947146,-507790682564,-43959340440,-4199516,1235968152,-6767522034,-10491508338,-123319066920,-340433379240,652918,47639684,-1952401213,1975061748,10541254024,-29539777512,-21280,-3701112,-85389708,352718022,3012159216,10033602336,-3586,67052,2498838,16659748,310555288,1355902416,-200,10744,-88996,583212,12716288,102192240,600,-7130,11224,305888,4004976,-400,-28,3200,64800] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 11 names: ["MM(3,26)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-26] period: [1,0,2,6,30,120,470,2520,10990,57120,264852,1362900,6808494,34666632,178009260,915590676,4775863950,24863178912,130706594876,687976840980,3641584177660] pf_coefficients: [380043339126,8162735541391,5700650086890,26985537895385,98979867516850,32303683825710,42420859946129,323020925287900,459220864978085,85509751303350,35657182354831,495676390560030,1465394882092851,1015474700672450,104131874920524,18308344027399,379276691345260,2196547269107363,3145544570944256,1063531258140384,45605200695120,6082007784670,158213977423160,1557065666865085,4603025744546418,3187631742744376,416460290470560,1278329412257,34499378411688,526697703182071,3072498974603324,4553345549958164,1211446666500456,108779467380,2258887335242,53053668540672,848253651125158,2901210265357756,1693611543905208,-29846464535,-737874314862,-14972962485597,-21855836559414,662718939045436,1042157448629088,-14341757845,-60473950734,-5542310366486,-51581761786466,-108066780146848,201252406172424,-2238373710,79843531364,-667241953803,-7418846091888,-57567695834972,-61562991847368,162287294,24449738112,-61207990741,541699080984,-2320384543840,-21734441846040,82173509,1038849102,-25857420806,290801251498,1549867334048,853076605728,-968514,-549204976,-2508918036,21274510308,284834097740,831457825896,-1414858,-22117872,866637281,-1353033912,2530170440,94698134856,11908,8394756,64236998,-204198998,-2321521280,-4006239168,4162,35248,-11191218,1190892,-96253696,-1000109856,-184,-19960,-60584,727008,4530376,-4947600,552,15842,13796,609232,2145168,-368,-44,2944,178848] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 12 names: ["MM(3,22)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-22] period: [1,0,2,6,54,180,830,4620,26950,140280,737352,4190340,24059574,136288152,772230888,4470301836,26079986790,152233381872,890836439636,5249706683364,31084070727424] pf_coefficients: [36277899585952,69105762083664,544168493789280,-10284166406032,750958911099288,3083621464805920,-43553408820104,-331594098063536,3017714575554720,8162527406839200,8554029313488,-457806257409996,-2287039730724112,5551833263375880,9940144486550848,23606918165296,235277211724872,-1629567081636632,-6357960909299152,4653602803140336,4353347950314240,7249506931952,310405764892016,1687749898989160,-2354149263759612,-7719706925194720,1437630966303552,-155682600504,95164818277992,1542749182789040,4842856531629120,-1172416407549128,-3327475814962176,-611871681640,8027276099736,471427367246940,3578006991553168,5987580603553040,-33581376836256,-262912072360,-3622249517762,75379698156936,1095025589810796,3863434686492960,2605750788501696,-52536217006,-1504058530344,-4351498467472,216506950928016,1178127793609864,1541909094716256,-1949224524,-54985542244,-5030912222908,-2036469498178,252408893412216,468731570508672,675358454,12419246364,-119187081418,-9169424268492,-3994056294844,103342485183648,321408212,-6842991618,176670818722,100530939772,-9240947618176,-3426507347184,51008430,-1703769412,28689594570,191674210686,131762100944,-3613874428896,-6415509,-292959930,1890110756,-4323429198,135834117764,36604057488,-508734,28553454,488810276,-2164551524,-14012340896,33047611392,61940,2831670,-34599845,-5325924,-1618331008,-7588016928,-1600,-247760,-2925418,4806120,33937000,-392316432,4800,186580,152082,4990880,20528688,-3200,-760,25600,1503360] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 13 names: ["MM(3,31)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-31] period: [1,0,2,12,6,120,560,840,10150,38640,113652,951720,3424344,14558544,95859192,359591232,1817668710,10282313184,41910060764,225173592072,1167937086316] pf_coefficients: [75359232,76065792,753592320,10353408,745423104,2637573120,-14337920,185422464,2570893824,3767961600,-7537824,-42224768,781251744,3635706624,1808621568,-1396752,-31592736,12873488,1201099104,1734170112,25576,-7117152,-46659792,126684080,594916416,55416,-859856,-11117196,-26406192,85923744,8732,-110028,-483616,-8508228,-3739680,341,-15962,74296,-123472,-2480568,-39,-1228,3208,85180,50928,39,3,2288,33984,624] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 14 names: ["MM(2,31)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-31] period: [1,0,2,12,6,180,560,1680,16870,46200,283752,1700160,5919144,40864824,194237472,899890992,5608655910,25667042544,139627800884,779053604472,3776785108096] pf_coefficients: [913731,5841702,9137310,8849727,48936156,31980585,4137177,68576106,147574386,45686550,1710763,18394668,187126041,187795596,21929544,-138236,1053038,27410061,214091286,83315664,-240654,-1891988,-17357125,13373970,86691624,-24605,-949734,-5809234,-34592012,221400,3713,59234,-2005192,-6523600,-17985000,1339,2420,33233,-1625788,-2533008,-46,-3000,4353,73420,-482664,46,5,2944,34920,736] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 15 names: ["MM(3,25)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-25] period: [1,0,2,12,30,120,920,3360,16030,99120,466452,2337720,13523664,70053984,368459520,2074904832,11240001630,60957577824,341570095724,1891223385480,10463603404540] pf_coefficients: [2373120,1247424,26104320,-1643264,16076544,97297920,-1523856,-9742656,68516928,144760320,-427264,-9117696,-17912000,111726336,71193600,-36300,-2065936,-19727600,-11214720,58038528,7376,-144000,-3702032,-18411904,-1402112,2629,-10604,-124372,-2927072,-6317696,146,-5864,18860,9840,-869696,-11,-369,1043,21496,38864,11,3,704,8336,176] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 16 names: ["MM(3,23)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-23] period: [1,0,2,12,30,180,920,4200,22750,121800,636552,3501960,19344864,106450344,598008840,3371960592,19067020830,108810743184,623108192564,3581363883240,20684768138320] pf_coefficients: [24227984530000,73427432666375,363419767950000,99271872041100,1000988093714000,2059378685050000,70901231084540,1219331052981750,5237097813825625,5451296519250000,21210019112107,684540902418120,5839339291622000,13006353480077500,6638467761220000,-6293327847265,20829810416950,2508741872344400,13487227908887250,15097946736505500,2907358143600000,-9964732940674,-212109422665466,-762252498653255,4265432354822700,14798846446759900,6401130409206000,-5456904944259,-149393358374952,-1385340205645847,-3260076344887210,3305279330708360,6030898648554000,-1825758910164,-56565781682988,-724944030985244,-3665568279889654,-4787581646355512,934949176896480,-384575726017,-13469037928224,-215650881161739,-1577373477090090,-4286930711225928,-2289377591426400,-40113440575,-2054215951530,-40435578426948,-380014539200358,-1597291623365652,-1800674712483120,2676076567,-235075761994,-4878795445159,-54805664758284,-321144083992044,-604546872670368,1645561661,-43426970800,-412059498557,-4581167130534,-36217576777572,-104463285122064,253907685,-11153472210,-7523047589,-266937612122,-2370225773800,-9215798256624,18405068,-1675138734,11274763577,-34939141310,-216303404304,-527456002176,780666,-109934558,2408403665,-4646369184,-44544766616,-97750236432,36038,-4258692,172319836,-381164556,-5102934232,-20592515280,-1190,-239536,6469862,-32236858,-396774512,-2054468592,336,13832,485830,-2297100,-32537568,-154760256,-1008,-12754,-24452,-1523648,-11922624,672,112,-5376,-381024] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 17 names: ["MM(3,19)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-19] period: [1,0,2,12,54,240,1280,7560,42070,235200,1386252,8269800,49236264,296360064,1806464088,11076217152,68215440150,422635534464,2632525436684,16463425729608,103340761276324] pf_coefficients: [14194688,-20251136,141946880,-37015168,-267304448,496814080,-20664768,-372822784,-1097548288,709734400,-6141488,-166199616,-1263547264,-1725280768,340672512,-966392,-35961408,-461232288,-1736109824,-874785792,-58800,-3810548,-73716776,-533774176,-808370176,19436,-21588,-4327292,-62815880,-218076736,6638,-57822,248244,-597136,-19109744,86,-18850,47762,497272,826992,-19,-172,1820,39464,237200,19,10,1216,12232,304] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 18 names: ["MM(2,27)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-27] period: [1,0,2,18,30,240,1730,5880,41230,262080,1235052,8135820,49871514,274089816,1754584260,10747244508,63562111470,402639178656,2490478217084,15275706448860,96633482176660] pf_coefficients: [1354496,1777620,13544960,-576869,10887708,47407360,-2884580,-16478156,20885748,67724800,-2581425,-29405720,-76227493,13107588,32507904,-964126,-18142992,-93829620,-121988422,1331928,-118707,-5062465,-45107699,-120505288,-61662216,7304,-478620,-9737557,-47792116,-53196808,4300,1710,-721695,-8142866,-18297932,406,-8329,43954,-384238,-2542592,-19,-945,2151,53110,-51996,19,7,1368,20540,304] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 19 names: ["MM(3,14)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-14] period: [1,0,2,18,102,420,2810,21000,129430,813960,5752152,40318740,274264914,1914808896,13689130884,97503193788,695179858230,5012262677136,36356872922084,264097537379676,1925836079273392] pf_coefficients: [624448144480,-634743561076,9366722167200,-5752273103160,-12884717523296,53078092280800,-8263725188365,-93199639526364,-87588843763020,140500832508000,-6132724554387,-125811132751902,-558506655221944,-260542044992560,171098791587520,-2741172303455,-96427534926566,-716568031885457,-1538753522456964,-342097941092624,74933777337600,-397299577410,-49207813504200,-564240405139715,-1893753269938164,-1926388107514784,-156894765900864,347038904296,-12436520510658,-302639514398463,-1520526156422352,-2296275097055508,-858693873856560,234050418965,1169705319652,-82900419737504,-821794417453226,-1868415529087456,-1001542451439264,61267043711,1504680214710,-1286588186620,-218496485252588,-1000283227090884,-821834967432640,6705327055,305954132142,4096625830099,-7579380269956,-250093662188828,-434673202071408,-107452536,12128517506,542049892445,6217524940362,-7392608832468,-102466654496016,-153964955,-1412108124,-55422566295,401693343774,5258277212016,-1959215995200,-32107050,732704556,-14593559588,-124036528178,67858271072,1836025434624,298166,229961018,-1721523319,-7443963192,-104340029008,-36399611520,333060,-880380,-306282610,1302178578,1091128808,-28319871072,-18760,-1659012,-647154,53137770,1332281952,2589559344,256,74528,1650956,-2035024,13328176,429497568,-768,-55976,-45580,-2064576,-3723680,512,208,-4096,-539136] pf_exponents: [[5,17],[5,16],[4,17],[5,15],[4,16],[3,17],[5,14],[4,15],[3,16],[2,17],[5,13],[4,14],[3,15],[2,16],[1,17],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 20 names: ["MM(3,9)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-9] period: [1,0,2,36,198,840,9200,79800,520870,4289040,39022452,312653880,2553516504,22541671152,194613766776,1653615739776,14474428781670,127743851238432,1118310732918236,9865499907391128,87832129454320108] pf_coefficients: [11714560,73347072,117145600,-7030784,787435520,410009600,-44623168,-176062464,2890936320,585728000,-2730560,-387633216,-1039609856,4260966400,281149440,6481616,-5108544,-1253849408,-1991854080,2084118528,938080,38681280,-3849840,-1678567616,-1121275904,34460,5239800,85496804,1633712,-767728256,-128,-302676,8594840,87990876,4725536,-2991,34614,-530988,4493648,35356776,91,4708,-10664,-488012,288592,-91,-105,-7488,-155680,-1456] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 21 names: ["MM(2,32)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-32] period: [1,0,4,0,60,0,1120,0,24220,0,567504,0,14030016,0,360222720,0,9513014940,0,256758913840,0,7051260776560] pf_coefficients: [128,768,28,1408,84,768,-1,88,32] pf_exponents: [[3,4],[2,4],[3,2],[1,4],[2,2],[0,4],[3,0],[1,2],[0,2]] pf_proven: false id: 22 names: ["MM(3,28)","P1 x dP(8)","dP(8) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-28] period: [1,0,4,6,36,180,490,4200,11620,89880,347004,1977360,10202346,48432384,284210784,1325440116,7721665380,38458381104,212059766776,1131095816136,6006685640956] pf_coefficients: [107804915764,-155510390456,1617073736460,24041797832,-2301436734752,9163417839940,55558205886,349542783880,-12906191967880,24256106046900,-12453677011,933323502672,1958124793192,-33897168579520,29538546919336,11405730046,-190400353345,5580894302058,5173940967032,-41048890880544,12936589891680,-15407008118,129785580728,-1186500147599,15364124619840,6312795374160,-17911987924608,-1071349624,-213561732228,1221602445894,-3394396280135,19303661902728,2771478214272,1414640476,41020854809,-1402582293338,4798348557148,-4407458577678,8642666288160,323064270,2116225526,340247919279,-4427982050100,7539152678288,-2021615768808,475645777,-2408887008,6605144086,1138864283638,-6188812371368,3842929174272,-156677178,1804097146,-9426610946,28299343114,1622129684200,-2966269701888,-34875657,-946826619,-1023754683,-30524018460,38435328286,783314731680,10970852,147279753,-1597162861,-6716106028,-42663748864,17044078032,1582292,32934956,388801049,973459608,-7669534648,-20866046016,-356234,-12029396,-46847884,151897491,2616430552,-2703140640,-10458,1493994,16552552,-11097164,-233073668,1253904384,2056,99306,-1867656,-4532704,-5646112,-174491136,-96,-9088,-113502,415596,-1797024,1790208,288,7040,11646,395648,10368,-192,-8,3072,124416] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 23 names: ["MM(4,13)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-12] period: [1,0,4,6,60,120,1210,3360,27580,97440,706104,2892120,19386906,88071984,559501800,2732525796,16764899580,86115510624,516756347536,2750826541320,16281103335640] pf_coefficients: [19454942373750,42645762950625,291824135606250,34174328091075,626979758262750,1653670101768750,14659852635945,447859364691150,3497822990836875,4377362034093750,2110521676248,165004575804450,2257949317064625,9150562654008750,5330654210407500,-988365693096,29045597785830,688417597997325,5426901313305750,11049604748640000,2334593084850000,-554355006590,1889788576320,104280117842790,1345247959942800,6133545020008800,4812531090156000,-88833788189,1793979954930,19175478810810,128947763545740,1237433899199580,2550907987167600,8512674823,1128558920602,15432221095828,35109278800170,22532371446852,430258814085600,1651891738,191891029946,7318096243667,38590063873896,20900776022256,-29070350365680,-2084638171,-35141832210,1874548400941,17190027088844,44672163609052,1962621014880,-810677365,-19880706430,242252323600,4005161223598,20310499991616,18987416365104,-90759144,-3623222630,-5091154175,469309420596,4654646120692,8867369402688,11856228,-457608258,-5748208407,6189556092,564042334216,1988075324016,4274082,-86168604,-324002048,-2127341890,22460038584,236728772352,316201,-18703350,105757476,348187782,151128228,11369263264,-9685,-1955670,23735590,43105964,348296588,381233072,-631,-2560,2500235,-4403382,4958936,95181584,92,5008,37627,-634374,-6080260,-8813312,-276,-4397,-11674,-466832,-2512544,184,20,-2944,-129168] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 24 names: ["MM(3,24)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-24] period: [1,0,4,6,60,180,1210,5460,30940,165480,901404,5165160,28368186,166270104,934096020,5512823316,31659299100,187470123984,1095325498696,6509162654280,38507613181180] pf_coefficients: [523446836028,-115706214627,7851702540420,-1618058116564,-2004115134768,44492981062380,-1454214701626,-25744117891988,-12520247396925,117775538106300,71163974484,-21583209469716,-155699213973192,-35432165328780,143424433071672,1280566489987,-1966514456016,-133350993914878,-436217567030212,-45129598575948,62813620323360,1201640885316,9829140312296,-31423057298972,-386659355839908,-554760170044628,-20329271723952,620113384262,8064846513036,23563812014783,-124734571952256,-505188596410912,-250115757212184,199899520604,3006955556684,19487965351256,19434672894778,-186746419829320,-231751239717792,37580802101,479587324234,5265413979322,22701126467832,-1229976717132,-91397226745536,1549454292,709356792,-31704248990,3002117385100,14124839889352,-5675301168744,-1341575862,12211322472,-401295460813,-1148040047680,-849364844328,4008667035600,-201604544,9787109604,-67085758452,-502973730312,-1187930689344,-1044878866896,29038353,2351570274,-9249565270,43908093324,-171270822088,-370160641248,2535716,58335144,-2005585226,19715524536,108033441588,34804053384,-910790,-26196872,-134181791,929454576,18395697064,54506378712,-29004,3944460,46836532,-79289658,-503274464,6061718928,3802,261840,-5064606,-6862000,-40880800,-482397216,-168,-18232,-312504,1068096,-339816,1174032,504,14474,22884,931040,1391472,-336,-44,5376,272160] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 25 names: ["MM(4,12)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-11] period: [1,0,4,12,36,300,940,6300,31780,157080,964404,4869480,28559916,160648488,898444404,5281388112,29951553060,175371678768,1022976721624,5970211296192,35295431693236] pf_coefficients: [19256143995831309072,62269137571247026728,404379023912457490512,144499600102749861783,1319550731646458956656,3369825199270479087600,172680808604299120312,3261931111778230334289,11075581714722300607920,14153265836936012167920,43403682774038546692,4196951139121415655024,28635940780550836449849,46779217740139633251360,31271977849230045932928,-136543783357889475285,1775137994110537801216,38208572152805076808456,124908745575885844393755,103802319012016235364072,33967838008646429203008,-189747165292575408032,-1772071827485270578763,18881811662649431242720,169968100322852995888560,283633374370657176805632,113103041561854117479024,13864423676998542531840,-105457219850801066323,-3027740412794940001160,-10528999293787400364971,89062062337495863847408,390342977248024428858208,314061626130381267337716,46261640169330426688320,-1866725138408751807,-1907961770368492584503,-22483158071046835500340,-38026980872257808694841,209004797835850419049924,435154217405485426755456,129818488066734578948496,42113263351908588106,-388476021992747755741,-16157162819205374989427,-95481355830606697939032,-82917799109912013520720,234512286282159435462616,180595038658026033512064,35421219810289137942,347172163985605230296,-5674246169380515176197,-76486798880157471203127,-224799570053830793376228,-94167615595497606382716,97419473432491948271904,15975375717662039745,394873887855739210608,280729051504955323234,-35143204439293752512619,-192613253009489963334324,-261488168196627921997912,-40383326108183382295344,3837558929808397365,220518009717916414515,1612819663421038950672,-7886682091329543173564,-100456877425119519950780,-232599487982001868567996,-112524037853102467339296,-130398054269447479,82907794898340916471,1076960245142361730779,1472694153156427759822,-33057380965316735215400,-128981632270773262169336,-102119281449514511697840,-527734345373565632,21918973477932757195,441423999717555129255,2119499475456597349017,-5081655795016392781224,-48248553754149778388496,-58387925930636423001120,-237135673541808843,3784029809619361270,129355003739471940059,994371022927847890191,1094581212203162338464,-11571040440013864569856,-23068376455977663926976,-60504843566218072,221014003374010179,29098394014981653288,298252394772190654105,944238662646131454930,-1224865589057676028752,-6288730551415239264384,-8954958434779941,-115140561005873212,5617919068339902345,63392065563736212482,308798837701096419920,243497462060293487888,-1090623960270715773888,-356748307902340,-55537871800277839,1134785328245910880,9586543376297864269,63685061991804371096,133716832064124913504,-81418411629921156480,158178414490146,-15856009967539424,264655709152751631,839986452103191988,9001126671426175938,28920925672238181984,10854890713945314816,39601463062664,-3348950171049386,61349217567281764,-61664840727860249,867770374910510880,3735305130228804224,3828874854991414272,4572915272392,-515265358502952,11956919925922258,-47265471894785592,51804170990543838,303889404390276384,507798950947165248,288574937828,-53946639123112,1777920558522016,-11978609417511334,2723441962356744,25605932028526704,57192382624284672,11847344368,-3461913829144,185649579262960,-1979041114316672,791554552586588,7358032427508608,16658628724305216,970015652,-118471727968,12305397939588,-221955784199752,202595770635216,1990114038559968,5559926282672640,81913608,-4449554856,446933248792,-15687193432384,30466070471800,324321881364416,1164678353598720,-1573120,-536920040,9784298620,-604752314240,2944999424224,34998972540320,153844073494272,-535856,-4406432,1038866040,-9236723480,165456348376,2516072949248,13792750699392,-14256,3123728,28318144,-540454232,3740911104,103394429568,814535700480,85536,-5616304,-20932576,-3890880,1227123968,26140610304,-156816,3020656,-949824,-5046656,98537472,85536,7776,-456192] pf_exponents: [[6,28],[6,27],[5,28],[6,26],[5,27],[4,28],[6,25],[5,26],[4,27],[3,28],[6,24],[5,25],[4,26],[3,27],[2,28],[6,23],[5,24],[4,25],[3,26],[2,27],[1,28],[6,22],[5,23],[4,24],[3,25],[2,26],[1,27],[0,28],[6,21],[5,22],[4,23],[3,24],[2,25],[1,26],[0,27],[6,20],[5,21],[4,22],[3,23],[2,24],[1,25],[0,26],[6,19],[5,20],[4,21],[3,22],[2,23],[1,24],[0,25],[6,18],[5,19],[4,20],[3,21],[2,22],[1,23],[0,24],[6,17],[5,18],[4,19],[3,20],[2,21],[1,22],[0,23],[6,16],[5,17],[4,18],[3,19],[2,20],[1,21],[0,22],[6,15],[5,16],[4,17],[3,18],[2,19],[1,20],[0,21],[6,14],[5,15],[4,16],[3,17],[2,18],[1,19],[0,20],[6,13],[5,14],[4,15],[3,16],[2,17],[1,18],[0,19],[6,12],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[6,11],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[6,10],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[6,9],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[6,8],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[6,7],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[6,6],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[6,5],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[6,4],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[6,3],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[6,2],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[6,1],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[6,0],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2]] pf_proven: false id: 26 names: ["MM(2,29)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-29] period: [1,0,4,12,36,360,940,8400,38500,210000,1386504,6726720,45191916,248215968,1495020384,9196819632,53155854180,334556864928,1989292512064,12268547031312,75574771774216] pf_coefficients: [350464,529692,2628480,-455100,4469230,7009280,-601112,-1455284,12915886,7885440,-42389,-1205456,-2103820,15408428,3154176,-89532,145491,1574080,-1679060,6432080,-13017,-605189,560112,4912464,-575424,1514,-48858,-1177117,434472,2746176,584,4166,-5485,-1014848,80000,-20,-1308,3792,29152,-319968,20,4,2560,17376,640] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 27 names: ["MM(4,10)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-9] period: [1,0,4,12,60,300,1660,8820,51100,293160,1720404,10274880,61694556,375423048,2298779340,14185883712,88054197660,549677610768,3447378209704,21717650251440,137340808607860] pf_coefficients: [7895136416409355706,18122267026090114300,165797864744596469826,-4661703652801774539,461951444051135387800,1381648872871637248550,-82198023902371995106,298479472596882990167,4392154277114414815000,5802925266060876443910,-168865397752556093875,-817078817515836192140,5089755749785933101743,20237492366951887948000,12821701540248793666544,-191702566966141746082,-2264251994040413590125,-874380278467328649378,29864795500581315567925,47741924863600017810700,13927020638546103465384,-137381140530241547905,-2837828057792779853412,-10442758119082026715845,15560094881577963946140,80211204592052369115244,54266850235911540200200,5684498219814736108320,-58397457692152146103,-2211584017519444154247,-15467292072754810195558,-16754310153956465960999,66424587869339713145596,98379830538247010405268,22814092639174040796000,-5962176680798958339,-1126023552637109606979,-12831467631465808731153,-38818413435755814460216,7675841283141216396112,97388363097104948337800,43246806873239708520912,10672113804782467630,-346833176884498020103,-6744555144879233620023,-35868288575609979946101,-43491230469208773196300,43219614897730297557404,46663369594197063590688,8596919715435610018,-33994505808766563640,-2145574789586700517297,-19318537535532635182315,-51003163788226672793402,-14878054986559023870872,27136834983426784419888,3501646682241507783,21477535321063326190,-253060024385895548776,-5791802167365809730965,-29219713966905984006452,-34569595085362617540912,2615928628822106953440,774355839778730825,10661888147199850171,107239749308203346776,-269175537495693288086,-8377584623458540815896,-22486469490491910373076,-8677896558450096839040,7184525529385118,1695372361372573917,60159966809297394323,598537978156937441686,238154426589647209548,-6509311047813145435872,-6910644283499968624272,-61250072775725357,-225513248143304394,11490559011005408971,303973590836493465669,1296212666499516514114,481987111919594317416,-2124813278317535630208,-23463089680640830,-149345643374026575,-518649101161760396,82696538268599795901,589787393428820348950,1223546320068958225864,172354461308179415328,-4558944952974602,-25805480790848902,-810896732056093909,15423400107503898562,147440904844605206862,527967638555594164280,417547333709446937952,-370969499931781,-2970556960239584,-188263890510619330,2550957574306130971,22647720214742668326,123486133372486586232,175577269283386565664,43338634975420,-1566335306174995,-8124355301320566,472249869744513826,2138573706967812534,16401593304554043632,38300812665363370272,15855191065658,-729346185074758,7977614935561463,67802829449183156,115028320878674372,976584458740986464,4128657138185884992,1728596897152,-173309141152308,3080255833024508,-1561126302254521,-7367113363139596,-38270392370015064,22751786360428992,40847294244,-21103017556930,639947018119422,-3491605082246778,-4699788959372446,-15702237561783552,-45933907291905312,-5258271090,-900869484412,79078274065016,-851987592194028,-648627216992616,-1802259052252624,-3734960360123136,135608290,49366904384,4406488140384,-107769655989386,32627620721416,293500234930336,876203385778944,59038552,1719602346,-88450588910,-6620368293868,17493289164636,142595805845616,411606068830848,-427248,-513384112,-11045388118,-4166317152,1588964502900,19886519258976,78588919919424,-241920,-6799248,1201545416,13493545926,33137833616,1061755511840,7347310532736,1935360,37807344,-719701328,-1069500348,1324519168,258588469632,-4596480,-40910832,6620832,-750892032,-3746689536,2903040,653184,38707200,-141295104,15482880] pf_exponents: [[6,26],[6,25],[5,26],[6,24],[5,25],[4,26],[6,23],[5,24],[4,25],[3,26],[6,22],[5,23],[4,24],[3,25],[2,26],[6,21],[5,22],[4,23],[3,24],[2,25],[1,26],[6,20],[5,21],[4,22],[3,23],[2,24],[1,25],[0,26],[6,19],[5,20],[4,21],[3,22],[2,23],[1,24],[0,25],[6,18],[5,19],[4,20],[3,21],[2,22],[1,23],[0,24],[6,17],[5,18],[4,19],[3,20],[2,21],[1,22],[0,23],[6,16],[5,17],[4,18],[3,19],[2,20],[1,21],[0,22],[6,15],[5,16],[4,17],[3,18],[2,19],[1,20],[0,21],[6,14],[5,15],[4,16],[3,17],[2,18],[1,19],[0,20],[6,13],[5,14],[4,15],[3,16],[2,17],[1,18],[0,19],[6,12],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[6,11],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[6,10],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[6,9],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[6,8],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[6,7],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[6,6],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[6,5],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[6,4],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[6,3],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[6,2],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[6,1],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[6,0],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 28 names: ["MM(3,20)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-20] period: [1,0,4,12,60,360,1660,10920,57820,361200,2142504,13102320,81652956,505513008,3203102760,20220232032,129218841180,828126101088,5335442267584,34542325406160,224327647927240] pf_coefficients: [17773000,40474600,177730000,35006590,342137200,622055000,15609102,237604410,1040958200,888650000,3269777,67608452,589949660,1335033200,426552000,-273098,2082003,94515942,631716960,595737600,-273119,-3678234,-26967190,35990992,244365120,-31110,-725109,-12378802,-52624056,-6525600,3995,28708,-1761490,-14070074,-27039040,730,2757,-16484,-1333728,-5522072,-19,-1726,4324,31698,-369728,19,8,2736,20696,608] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 29 names: ["MM(3,17)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-17] period: [1,0,4,12,84,360,2380,13440,83860,512400,3276504,20863920,135411276,883891008,5829382416,38659853232,258168261780,1732782493728,11688659286304,79179553849968,538497097402264] pf_coefficients: [2663936,12672,19979520,-3124352,-7308928,53278720,-1909472,-27207488,-32398432,59938560,-480240,-12940032,-78356608,-45842720,23975424,-79112,-2086880,-29923800,-93058240,-20765888,1432,-147080,-3215932,-29078632,-38784768,2962,-12616,-23152,-1970932,-10250160,113,-7374,14228,191024,-384344,-9,-226,1706,15624,116736,9,5,1152,5752,288] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 30 names: ["MM(3,18)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-18] period: [1,0,4,18,60,480,2470,14280,94780,564480,3641904,23756040,152928006,1015926912,6742198320,45012195228,303772900860,2053920472032,13971690928624,95493154287960,654682224573520] pf_coefficients: [3534171282768,2573688385625,53012569241520,-18579556856036,15708476943152,300404559035280,-42057269712358,-304975892879458,-10204975634105,795188538622800,-36920817119163,-615567070507554,-1834346875380096,-222309822677180,968362931478432,-11201106292833,-543134159241852,-3431409130975492,-5053844047337366,-439651824399900,424100553932160,6640975935353,-235272469382772,-3014743764924805,-8940486725753112,-6319776145006180,-240681765914352,8783796736454,-20736033127626,-1482018617577829,-7729885908605220,-10731326956961104,-2813882637025488,4629475435227,33005469408176,-387905227722825,-3951087276823650,-9100090254984656,-4648739561388288,1457850244139,20792542545858,-15713906171368,-1248147246493290,-4683853025218592,-3878734769181552,278066903414,6637225194876,26607472065955,-217945905584678,-1560852629943476,-1990819664317488,23937413047,1348996438682,9679359703183,-4377756184068,-323646179677852,-673581262539408,-2192868382,199780321574,1327718820078,6129699998154,-31931921371096,-145935682290720,-862059039,29059031052,-41721326457,853726422130,614259969900,-17005338685200,-90114643,4708095168,-41954846196,-32532560228,173036205232,-566305200288,-1916023,539474686,-7189593625,-7108637478,-33936303604,5725870656,194398,20271048,-740615417,1196688312,3424657792,-436432224,-6652,-970154,-34911723,184078670,1891101664,4238590464,-576,11056,708122,6255078,144293328,810555264,1728,-4100,71234,3527872,41548896,-1152,-304,18432,839808] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 31 names: ["MM(3,16)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-16] period: [1,0,4,18,84,540,3190,20160,130900,859320,5777604,39196080,269222646,1867097232,13046312136,91835691948,650358139860,4630742159472,33133062706744,238090649291352,1717593035036164] pf_coefficients: [1285311515822,6008355497013,19279672737330,9228060873160,86527304328588,109251478844870,6201668230339,112729255383206,474729935980035,289195091059950,899055116217,47104966377306,524608419619064,1225949002396680,352175355335228,-1490997931364,-20203132904766,88149470471173,1159944611718634,1466387999851212,154237381898640,-1075735713056,-28979328433864,-209180426226993,-83926453893378,1212443841502584,634649984602992,-216935559968,-9916454476500,-152416651261670,-667672916912382,-354502874459264,473606454892968,98579801481,1545944925922,-22340584599596,-337956619554938,-871090957225428,-223330248241680,84707116237,2579181567420,21260299999224,4663151184756,-336925892570948,-391496278519056,29232338671,1038520413042,13994497684027,69013406352362,54926795745484,-123910638796608,5532348078,221072388550,4062039943785,31930992078012,88041833217092,36775967776920,427089057,25369620498,664303921825,7327587200748,32898454671476,38598138908160,-49446597,1578743064,62223968636,909258984530,6263627548124,12554634788424,-15040578,263085144,2865010879,48719944716,607133936440,2067987969024,-1172048,70180896,-224526281,-706456200,17932039312,158866562472,854,6972564,-86408578,-63440610,-918515272,1381841232,1882,79592,-9144084,21759780,95915912,-171280752,-136,-11200,-214390,1835328,25099648,75158112,408,9410,21880,1240400,9198576,-272,-92,4352,308448] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 32 names: ["MM(2,25)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-25] period: [1,0,4,24,60,720,3640,21840,175420,1024800,7497504,53370240,359615256,2665799136,18900744720,136245773664,1004811479100,7292968727616,53892071620816,399017821419360,2953559536607680] pf_coefficients: [28672,102912,215040,141696,690176,573440,90800,857216,1707776,645120,24572,493280,1952064,1835776,258048,935,113884,1003216,1984960,715264,-356,2790,189504,926304,748416,-61,242,-3185,134240,325696,2,134,-452,-6688,33760,-2,-1,-288,-2960,-64] pf_exponents: [[4,8],[4,7],[3,8],[4,6],[3,7],[2,8],[4,5],[3,6],[2,7],[1,8],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 33 names: ["MM(2,24)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-24] period: [1,0,4,24,132,780,5800,40320,283780,2105880,15782004,118844880,909413736,7031200176,54701357568,428712267984,3382243696260,26821671120816,213719282449816,1710511828822368,13743384004733812] pf_coefficients: [5638657,1800728,56386570,-10326258,-10575632,197352995,-12240865,-120938052,-108471992,281932850,-5642818,-104107654,-437337374,-224375632,135327768,-1235544,-37022468,-300321015,-620339628,-128280000,-127097,-5883390,-85611618,-360226218,-293614048,2588,-338726,-9982548,-84675240,-151771992,3522,-17114,-258889,-7112472,-30570960,209,-8886,33634,111632,-1833168,-10,-418,2254,36080,126144,10,9,1440,12816,320] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 34 names: ["MM(3,27)","P1 x P1 x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-27] period: [1,0,6,0,90,0,1860,0,44730,0,1172556,0,32496156,0,936369720,0,27770358330,0,842090474940,0,25989269017140] pf_coefficients: [144,864,-40,1584,-120,864,1,-128,-48] pf_exponents: [[3,4],[2,4],[3,2],[1,4],[2,2],[0,4],[3,0],[1,2],[0,2]] pf_proven: false id: 35 names: ["B(3,5)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-15] period: [1,0,6,0,114,0,2940,0,87570,0,2835756,0,96982116,0,3446781624,0,126047377170,0,4712189770860,0,179275447715364] pf_coefficients: [16,96,44,176,132,96,-1,136,48] pf_exponents: [[3,4],[2,4],[3,2],[1,4],[2,2],[0,4],[3,0],[1,2],[0,2]] pf_proven: false id: 36 names: ["MM(4,11)","P1 x dP(7)","dP(7) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-10] period: [1,0,6,6,90,240,1950,8400,53130,288960,1676556,10076220,57811446,359855496,2100512700,13190052876,78808145130,495331458336,3021082746396,18994866899580,117679341136500] pf_coefficients: [693714838806,763051237443,10405722582090,798942943371,11358854399574,58965761298510,160839799794,16512772844256,63990213561945,156085838731350,-660828900489,11660721664968,111191207202501,168644532752190,190077865832844,-1077860878168,-1335951356316,92648769883596,326232787011996,204730330955832,83245780656720,-660455530574,-8393630108480,19198430939031,284921480753586,423284272037820,89480208603456,-112389320792,-5869441091958,-18142044726392,91538387546190,376147844256492,192528862327440,56696786327,-1965788544806,-15067668403078,-6134599918108,140324178780468,172375251521328,32455916033,-375770886200,-5552931855166,-14845734235818,18947609373468,68659344629136,5642039054,-36044928060,-1480452171569,-5287528321552,-3443587069908,14219752947840,169297505,2099754716,-382426235657,-1425641276398,-827727745968,1511304021792,16881626,4823990794,-110914483976,-424604660796,-204970527156,811253153376,8747759,1824527196,-16550132993,-119675320058,-181242923040,238060284048,-3156933,193610270,-1290774416,-6762930670,-71334503004,-3909127824,-703317,10517394,-250696499,591903090,-1917681444,-13384384560,620,3283092,-21052365,-8503214,255552852,507060000,2103,116402,-4363035,-4362864,30142116,63959184,-168,-11436,-146942,1271340,1357812,25234416,504,9381,31684,1033632,1683072,-336,-48,8064,299376] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 37 names: ["MM(3,21)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-21] period: [1,0,6,6,114,240,3030,9660,95970,394800,3390156,16451820,128950206,698233536,5169662784,30128774676,215387107650,1319441625216,9236518075356,58548045508524,404949277742724] pf_coefficients: [245874317634,2218795296531,3688114764510,6056530083021,33773438393970,20899316998890,7495753589577,88396002848670,193512689665185,55321721467650,4670097880765,101292626856366,489621077296395,516431754829650,67369563031716,1078961151451,58836957956680,520696568959875,1272914100033510,632525358549744,29504918116080,-548540364416,15536217453758,277838795796875,1262665273433850,1529582369182164,278051650287840,-587572837510,-950337115836,67962447059267,616926544459256,1430140879151028,663949873679400,-218665444430,-1881605343544,-3393573996966,127556302938112,644992821869304,594375301410264,-25314024870,-477463570930,-6777031680568,-20044019051106,106658563932948,251738213131008,9519811788,-12920983128,-1425229433918,-19636595232042,-36839557463764,32621468630760,4274799971,19424828964,146768318874,-4888898614266,-25911043388684,-19781239815552,548435869,5411920972,125008761584,-436972387620,-6440598748124,-11791400499816,-29033891,1036941642,23572345803,7230314500,-773367459280,-2845010640264,-13307719,295801480,1039358557,-2232619670,-54865585568,-364137901824,-833993,61963516,-353268237,-1354042272,-7541923700,-31279012296,22394,5062296,-83621105,-71950868,-773065656,-2974818768,1052,-2854,-6905137,14275988,58433136,-25050816,-152,-8312,-74294,1554534,17770944,53497728,456,7312,29674,1107456,6718752,-304,-52,7296,295488] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 38 names: ["MM(4,9)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-8] period: [1,0,6,12,90,480,2400,16800,88410,608160,3616956,23756040,152676216,992143152,6584292000,43293602352,290554960410,1941044668992,13108219614204,88665415015320,602526748489380] pf_coefficients: [261588205568,14905154560,3923823083520,-1425567787520,2827436331008,22234997473280,-2479263270656,-12268032453376,27305528263680,58857346252800,-1843660982400,-25201996371712,-32189095447296,94488725217280,71675168325632,-551278245632,-21693811220288,-91766682381024,-14734862226176,134276962979840,31390584668160,137812448320,-10306726487040,-87237503352832,-146630662282784,41291196065024,64281234849792,201228211424,-2602774283232,-47108840021616,-157910822473472,-98697994366528,34679427509760,91101072864,-63285549920,-16081723859168,-91866350151632,-130819415891136,-21111281363712,22991515080,215982853872,-3355502979296,-34161541834976,-82080285693088,-40295946532608,3007557328,89604042864,-318538411860,-8150556525472,-32087365828256,-27559078644864,-2661828,20063110024,11226187840,-1102335775260,-7969431659680,-11225647751424,-67352760,3116182076,-971480280,-53059909344,-1137785561624,-2831622317760,-9596088,420071576,-2679827156,1587097208,-69396000248,-399167478816,-395167,48231434,-595759088,-251979188,71690496,-21897409920,12374,2863998,-65608282,15866008,193980736,794329056,-1,-21168,-4101751,13756860,95283912,262909632,-76,-2580,-22608,1028164,13542080,53345520,228,2617,14758,673536,4636752,-152,-36,3648,172368] pf_exponents: [[5,17],[5,16],[4,17],[5,15],[4,16],[3,17],[5,14],[4,15],[3,16],[2,17],[5,13],[4,14],[3,15],[2,16],[1,17],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 39 names: ["MM(4,8)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-7] period: [1,0,6,12,114,480,3480,19320,131250,819840,5532156,36507240,248762976,1690520832,11665151784,80727799152,563511444210,3949480858752,27838826968524,196989100853688,1399780002138804] pf_coefficients: [18899832,21890868,188998320,5423846,218546520,661494120,-6233393,77738316,764007420,944991600,-5608355,-14860722,314725402,1090559640,453595968,-1898868,-19570096,11868353,481365684,523207872,-234989,-6267722,-25589543,54018354,238954752,19528,-920750,-7112212,-13478322,33522672,6693,-91202,-491679,-3304842,-1891152,245,-12442,28928,55476,-320088,-18,-616,5175,41688,138072,18,11,3456,17448,864] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 40 names: ["MM(2,26)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-26] period: [1,0,6,12,114,540,3480,22680,137970,978600,6206256,44324280,296164176,2105295192,14606410104,103910238432,737501900850,5277929980752,37964733599364,273842039393208,1986847162998984] pf_coefficients: [508905,3256697,5089050,6847325,25468042,17811675,6581020,40398830,71390827,25445250,2419910,26830932,88267483,84746642,12213720,-242379,4552156,40292576,84720514,35567160,-445503,-3992160,-5259302,24910440,30004536,-64359,-2133828,-13113665,-16572868,4867776,7006,-104016,-4294451,-15293270,-9218856,1307,10132,-69449,-3495012,-6129312,-34,-3090,10996,58304,-1044144,34,15,7072,44520,1632] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 41 names: ["MM(5,2)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/5-2] period: [1,0,6,18,114,660,3930,25620,163170,1101240,7378056,50824620,351555666,2463348888,17383704624,123582206748,884189321730,6359800672368,45977269730964,333809953237332,2433309288737184] pf_coefficients: [240474559076460227904,1837031939112379437696,5049965740605664785984,5798679020757192976824,34735796765176476263184,42083047838380539883200,10810597656328486666892,102420243817257096915624,263852480001914022670320,176748800921198267509440,13798263781891279998484,180992311598238291827940,730835304372275673771912,1023659188972002072789840,390530683940171410116096,13078700458786501425440,221409479097853225398816,1229914942915594408825484,2680574852866062980091960,2118918228977218522921104,424197122210875842022656,9684008707853323054926,203899243065920172619700,1446389828044221103107292,4316952765462969749973564,5284986066194709672636096,2187850876599960539705376,173141682535051364090880,5781836457454283952027,149354155359277581246094,1292448483025198453550124,4900342287945644426358888,8189161169174530056984392,5243753014078556416998816,861638121418894163729280,2827890788664461907205,90171627705508699078649,927444074959616000600726,4259752708054975616564404,9013566284960653520957512,7867844285820025666868544,2005128061174133954621568,1130795392247173592543,45736803435179279809762,553175348597284681885431,2995029481721363197151522,7649645892533180564580820,8439747026151466777510896,2935902653134780756193280,359314288283547856118,19581714430472711981401,278836758086096620262989,1759661073820371841750639,5282204734469756335927276,7020962317152020920037208,3087744416408198525205312,82933235340081625634,7029835548923555372957,119136056636116978772903,875732208613373810668988,3060454685792594176787214,4775100505439977865069184,2529441192255751189664928,9204333160949133453,2083385314079720709209,42928229864679953136754,369092837577176629334555,1504341040597918156566604,2733674401872938238925080,1700156143751326141768128,-2482438413940879312,496440546688212359827,12938203693700204685750,130728218820777545037697,625593809425799227690682,1329070475453078851064064,964128687966634183979616,-1756464799813053083,90365459076855688159,3235538816473030479591,38495849971238846863933,217994576165003300537334,546048072864982915265916,464630764361829436224000,-557806869837162321,10834665259611552688,668653830973696426742,9310567661073508124459,62905644624036435123730,187425392302370730192648,189027545465462250776400,-116375026646807263,169969863771608422,115288548750357546991,1822483103179499947187,14846996136548222764878,53044254815601496075044,64091615280347261819232,-15965958869113913,-315482071110106096,17403396470951738581,282476129260428415700,2827618073754025803572,12213095705130330018348,17855204285047071713904,-1069265567089815,-102846995906267635,2589846272367211555,33101834127619979282,427662078005510251780,2255002166511126409536,4029464854162745610192,85749473548277,-22053719431527166,429935066144864641,2481782159320910794,50358307006456963556,328447235763322922460,725883515415341516160,32734272441993,-3715168117333827,76133709493216377,-24847316470240187,4511273205418709178,37063348062912188376,102794010991170652944,4293675212352,-495822101740243,12300127311192383,-50753464096031456,304321619090390326,3212352840430106292,11316546563396814432,317414456824,-49858599270993,1618348681737341,-11431291202333859,17294055362445516,228228229215067356,990175839576504624,13643423297,-3461865496939,161677763437152,-1705821070913939,1361780020762874,18159517295151108,80822150105645520,474738290,-144330091741,11387689967790,-183036278005767,179456456940388,2147432109419580,8511881953504176,30908420,-3235213956,499205984005,-13558188053513,23122118003712,271476058497192,1105446337211664,798456,-144327120,10926981302,-621823920059,2219359384478,27640597359456,126864744487776,-107388,-8124108,240608084,-13841418156,138042736530,2049608993616,11105931651840,-5832,430956,17676432,-132925152,4550791064,98089262640,695014323264,34992,-536940,-9303780,44059352,2337612192,27427864896,-64152,204948,-767064,10654848,485968896,34992,8424,-279936] pf_exponents: [[6,28],[6,27],[5,28],[6,26],[5,27],[4,28],[6,25],[5,26],[4,27],[3,28],[6,24],[5,25],[4,26],[3,27],[2,28],[6,23],[5,24],[4,25],[3,26],[2,27],[1,28],[6,22],[5,23],[4,24],[3,25],[2,26],[1,27],[0,28],[6,21],[5,22],[4,23],[3,24],[2,25],[1,26],[0,27],[6,20],[5,21],[4,22],[3,23],[2,24],[1,25],[0,26],[6,19],[5,20],[4,21],[3,22],[2,23],[1,24],[0,25],[6,18],[5,19],[4,20],[3,21],[2,22],[1,23],[0,24],[6,17],[5,18],[4,19],[3,20],[2,21],[1,22],[0,23],[6,16],[5,17],[4,18],[3,19],[2,20],[1,21],[0,22],[6,15],[5,16],[4,17],[3,18],[2,19],[1,20],[0,21],[6,14],[5,15],[4,16],[3,17],[2,18],[1,19],[0,20],[6,13],[5,14],[4,15],[3,16],[2,17],[1,18],[0,19],[6,12],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[6,11],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[6,10],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[6,9],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[6,8],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[6,7],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[6,6],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[6,5],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[6,4],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[6,3],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[6,2],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[6,1],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[6,0],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2]] pf_proven: false id: 42 names: ["MM(4,7)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-6] period: [1,0,6,18,114,720,4290,28980,193410,1320480,9261756,65155860,466399626,3362447088,24446760624,179078127228,1319349967650,9776105003808,72785238238284,544270224115332,4086003282450804] pf_coefficients: [15667875,19091850,156678750,-4498560,215397900,548375625,-16922931,21764280,815091150,783393750,-10302865,-85744746,218888730,1223865900,376029000,-2781604,-51293046,-145640001,436837830,605080800,-284739,-12202008,-95983781,-90541746,244211940,22956,-1313102,-19790576,-80536644,-13723560,7648,-83249,-1363035,-14886198,-25485444,387,-11814,35973,-603400,-4318452,-17,-1012,5556,62684,-50232,17,13,3536,27636,816] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 43 names: ["MM(3,15)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-15] period: [1,0,6,18,138,780,5370,36120,253050,1811880,13111056,96673500,717995586,5397039648,40837338828,311460457308,2389066735770,18430241935248,142853547011604,1112151392058564,8692148051349048] pf_coefficients: [766173652128,4992935635952,11492604781920,8083865714016,77630141633672,65124760430880,866000621976,132603235501776,451760599999840,172389071728800,-11553500552632,62908961983668,792486440270016,1219174266392920,209931580683072,-16324949544392,-59729901420112,517769686241448,2167385668337136,1504869718970448,91940838255360,-11893454169676,-101950488257116,-11191485787232,1603926461059812,2693200618513440,664818846579648,-5456974512572,-66985722460020,-221864566694464,400679372575384,2104179989963064,1193782020658560,-1613588581150,-25048389457922,-148421471092352,-169242068889956,745982753903328,955980253783008,-271003662684,-5361599222666,-46749676395964,-159158167871544,24017941803816,382288296408192,-5110489190,-445635180792,-5052173758874,-47040878080330,-80408226494976,57026811277440,9004456018,69068760664,1774431840780,-1327616863882,-27200193870852,-14635790147808,1981544273,19178964026,867464362916,3362076368280,471407128692,-7602007037040,115734541,588445074,167135217212,1034674032050,2592689215776,-35264836368,-18403211,-89853800,16170008881,117741011872,656513696460,680883703632,-2854879,60297926,560720519,1083392856,47973802524,149466865392,-33642,13862040,-70833937,-589294420,-3021011112,3582375120,6148,456318,-16388147,5594494,-294734424,-1548755424,-256,-31504,-710262,4498470,30693144,-14731200,768,25556,62178,3356832,15325200,-512,-200,12288,870912] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 44 names: ["MM(4,5)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-4] period: [1,0,6,24,138,960,6180,43680,311850,2274720,16897356,127068480,966844956,7425722304,57502367208,448442698704,3519003623850,27765968877504,220150396633596,1753153300044432,14016019575992148] pf_coefficients: [7341513476544,96927065576736,110122702148160,239668933284384,1511818302220368,624028645506240,282678418259904,3576516655418832,8817923759715840,1651840532222400,192490182804672,4039833928849992,20092169017350336,23835520904692080,2011574692573056,76823116439272,2689383445248708,21843293457104400,52710301714225776,29453631896492064,880981617185280,13129944995992,1130857496176712,14119749275367468,55493028775595880,63703734920691552,13021143514872192,-3709405656790,294570902763714,5924256348812348,34816046685125400,65410510093749696,27748754501681664,-3233741992868,36838631352680,1660063305175226,14312378295112180,39993567952818192,28003619264668128,-1076301280021,-3881940306958,301207322729320,4005253989283032,16062598916304264,16800377280616224,-205547867230,-2856325017714,30346127986028,756212861847778,4404819284263368,6620218634233008,-19751569665,-694514567026,813859854697,90674821907230,816090804975336,1777796116960752,476145654,-119434610838,105355320820,6301174775454,96662330342448,320003660179872,385139577,-18752975568,121606665711,346605021688,6856215048144,36180179252928,41920694,-2655385530,31825047732,39286904460,334092754872,2314655097264,1079635,-250692608,4425985821,598643802,7352153808,59913231696,-69346,-8834694,376811668,-731491776,-5155086072,-11278289232,600,242330,14353967,-87136678,-986652144,-3472047216,256,2208,-141086,-3602808,-71227368,-401543568,-768,-3048,-50138,-2132928,-21260592,512,240,-12288,-518400] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 45 names: ["MM(2,22)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-22] period: [1,0,6,24,138,1080,6540,50400,362250,2713200,20891556,160166160,1258154436,9911485584,78873156648,632310142464,5095678083210,41323440004704,336594570639756,2754087679083312,22622893996599468] pf_coefficients: [1344000,-1433600,13440000,-9758720,-25648000,47040000,-13216960,-101534400,-118048000,67200000,-8272672,-107367840,-347468800,-196112000,32256000,-2614400,-53144224,-303959360,-478046400,-102278400,-360736,-13162952,-124725968,-363136800,-222353280,4340,-1455100,-24902616,-128125136,-153328320,6580,-54558,-1967380,-21057888,-48306720,462,-7812,24982,-1099296,-6741504,-15,-1134,5456,64092,-200736,15,12,3360,29232,720] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 46 names: ["MM(3,13)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-13] period: [1,0,6,24,162,1080,7620,55440,415170,3166800,24570756,193152960,1535529996,12323014704,99702108792,812367620064,6660134536770,54901225345824,454766527525596,3783396651070608,31599092692916892] pf_coefficients: [216,156,1296,43,702,2376,2,129,1014,1296,-1,3,134,468,1,48] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 47 names: ["MM(3,11)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-11] period: [1,0,6,30,186,1380,10230,78540,620970,5020680,41120856,341884620,2874006366,24382317960,208584666576,1796930155020,15576149044170,135757736983440,1188986185264020,10458674826694380,92358598117664736] pf_coefficients: [649834579008,13732203673172,9747518685120,48198594160756,165074676983744,55235939215680,82019999260801,533961673988220,758153531081260,146212780276800,84514850640244,840960439654842,2285484039122204,1657952592479440,178054674648192,57596077320363,792699653368014,3378829544871341,4701735859495764,1717204900757328,77980149480960,26934697967609,483000067939894,2961110451815624,6606872201360280,4622087995471728,666063366048576,8677311076003,194705422419526,1641821931279819,5465074745936478,6240596407719252,1720073095270704,1854042391256,51046926988224,578487321549643,2805715222318508,4939878969753648,2253613310836272,224656373740,8067494498852,121124333623787,879422760274826,2387832121276332,1727729872905024,2206981641,608807950940,10817041899886,147184546085982,677258168381340,798622670084688,-3992015829,10703139586,-1082419222534,4106202828658,89368247307720,208859380936560,-557845919,7053554626,-412744211679,-2907627933302,-3821014377216,21478960971936,-9121600,2229239962,-51678202461,-441344474776,-2734469850024,-2734491186000,3751026,133655570,-4242913243,-10088577532,-247855445832,-881327127024,143976,-15369464,-200870576,1897013660,7288611432,-43298153712,-10396,-1077668,14470338,58219582,1589049552,5654289744,224,47184,1401216,-5752900,-6617088,423758592,-672,-37028,-70708,-4523712,-14560992,448,240,-10752,-1124928] pf_exponents: [[5,17],[5,16],[4,17],[5,15],[4,16],[3,17],[5,14],[4,15],[3,16],[2,17],[5,13],[4,14],[3,15],[2,16],[1,17],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 48 names: ["MM(2,18)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-18] period: [1,0,6,48,282,2400,22020,184800,1684410,15798720,147332556,1404960480,13577449116,131945381568,1294508841912,12796473738048,127193821210170,1271466975512448,12773142327418044,128863129351578336,1305192180832042932] pf_coefficients: [1247232,-442368,12472320,-5891072,-13295616,43653120,-7118080,-62338560,-68714496,62361600,-3639360,-58508544,-214266880,-119709696,29933568,-892480,-23801344,-165859328,-294796800,-63848448,-97424,-4516352,-55640896,-197465088,-136977408,-1136,-343024,-8295936,-56396544,-82996224,1180,-8112,-412016,-6676992,-20968704,100,-2616,16272,-153936,-2031360,-3,-200,1176,20784,5664,3,4,720,7680,144] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 49 names: ["B(3,4)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-14] period: [1,0,8,0,216,0,8000,0,343000,0,16003008,0,788889024,0,40424237568,0,2131746903000,0,114933031928000,0,6306605327953216] pf_coefficients: [64,192,-1,192,64] pf_exponents: [[3,2],[2,2],[3,0],[1,2],[0,2]] pf_proven: false id: 50 names: ["MM(5,3)","P1 x dP(6)","dP(6) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/5-3] period: [1,0,8,12,168,600,5300,27720,210280,1308720,9488808,64070160,461344884,3245978736,23504350584,169265608512,1236374104680,9036764701536,66579689640464,491769866592576,3651044050307368] pf_coefficients: [1510400,1815680,11328000,704000,9750400,30208000,432136,6097760,19383200,33984000,-10844,4072992,18388720,17132000,13593600,-48149,102584,10285044,22699440,5683520,-3001,-125978,367272,10443988,9704480,926,-5370,-61629,464156,3764600,35,-1742,-1411,22488,204632,-3,-49,1018,400,25736,3,2,720,536,192] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 51 names: ["MM(2,23)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-23] period: [1,0,8,12,216,720,8540,42000,410200,2503200,22177008,153162240,1294266204,9607774176,79518252528,616221798192,5063999105880,40293936086976,331010689147424,2678891791241952,22067056289854576] pf_coefficients: [7022288,18116644,52667160,15743000,106996162,140445760,5195320,71951880,235890018,158001480,506973,19486558,128307816,230446580,63200592,-49784,1971013,27271322,105777672,83436080,-10344,124104,1457736,17093440,33678736,-248,17582,-50784,193008,4001608,15,796,-6392,-73364,-161776,-15,-8,-4080,-28664,-960] pf_exponents: [[4,8],[4,7],[3,8],[4,6],[3,7],[2,8],[4,5],[3,6],[2,7],[1,8],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 52 names: ["MM(4,6)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-5] period: [1,0,8,18,192,960,7550,49980,374080,2741760,20740608,158530680,1223882814,9564458904,75172539156,596231343708,4751829688320,38116277325984,307057556446784,2485382503505616,20192074648400512] pf_coefficients: [29896681243525789948,58470704290809544968,627830306114041588908,-93506707555006113991,1198083686021648800000,5231919217617013240900,-430919913314466137402,-1791373210632777276457,9785356689611395704480,21974060713991455611780,-521572214709616335963,-8489175879640681416960,-14622167278401815825569,40442873806490125783600,48552210339485882875552,-13227791382437576569,-11536446087164964630449,-70982622576454802106486,-62509761737139775182835,88251175349070581054232,52737745713579493468272,783418814655732974534,-5203739917604849550823,-106522883240179622960393,-307309965407734223639240,-142582458445686370027624,94976819849601686777680,21525610495338568762560,1235526029779971426517,5980261462862933719560,-77910101654230330502267,-492358641155406593165895,-703613163295042309341688,-159869905399457210797828,38522774599140675057600,1110404398987368138804,13123330058608534181955,-10245811241468870032834,-438088172618068556240281,-1172538227199271659697432,-788392572947759636878240,-66872907915586571289936,678770074666286557913,12956081888475453206572,40935016121550120824461,-213038139473214180062864,-1144596889156487418677424,-1344176662937255096958676,-329165008450322964348864,290304851406911780097,8629556586189482368947,52090801318974036496408,-9243767984676765364397,-716999365024759508476396,-1375530274358111271183796,-568489067525665755761232,80563441269661781790,4272991546413368587217,37628109463134850392343,75810175766848738497060,-267018473818575644054648,-950340189662097160231936,-596301968291684490218640,8063036256971645855,1632840229590678538720,19418905439067513920033,71140480653042774895101,-18542565114518939793664,-452896218250926660648508,-430933524643707498441984,-4826190995198623844,487436498553908762815,7691885837445928182314,39825176816838918004865,48020206280081972695260,-137923194987642117850612,-224162349066729730621680,-3122980399808572034,112521768603689690848,2424103684598871503751,16162990877329375215972,37178375242993083190468,-14458830163424475559668,-83813298408084041871408,-1029733125484229044,18954023053170769332,624482427907282427310,5051056766292287962329,16729869128495695767136,10432547777536239236708,-21017882919838564162896,-228996899783538575,1748970000664494336,135643459951338090742,1242351563048491906462,5443561650872420148682,7368481168428297634148,-2346420213082102877808,-35274603385824143,-185267299938480711,25984297621861580786,239327497546942834690,1363680147391272042620,2770921379424513072056,696777947725875889200,-3369584483239264,-127148754853308155,4661050839317278033,34315582532692915712,268218557384987155114,743938616716804552360,482334143270580140352,-66999561938156,-33431156650788008,820831493083954249,2935654044937606279,41148551937366679730,152613223853127507608,158083601548976900064,37147382209272,-6073440143615060,140303629364691732,-104531079281538357,4780807046101087822,24241759485755313472,36568432829168464608,6746638665332,-831312391337124,21714911600553392,-94352595567880152,404689889013598102,2977053812880286832,6474084044708411328,608739258372,-86456107617582,2808162969536384,-20401368439104420,26464459906767988,296335663236660512,919443985718233440,30365404394,-6553390595854,284402484609184,-2941750257336708,2225990600898876,29805141184815080,115741322359338912,840562906,-321887787254,21247937537072,-314868852909666,314280363806944,3790187196058280,14989118904861984,37456310,-7895712554,1062489909762,-24659506300802,40367592826620,491035032628752,1996125356676768,2148856,-127951382,27999188306,-1289427227530,3812912148892,50387099569728,231216777036480,-79464,-13292888,242143518,-35716345366,251061934036,3783720754176,20585897145984,-8640,81048,21267416,-235550026,9549343956,193449975744,1324604895744,51840,320664,-7823272,116329612,5292651840,56314165248,-95040,-337368,-1747152,28397568,1165197312,51840,15120,-552960] pf_exponents: [[6,28],[6,27],[5,28],[6,26],[5,27],[4,28],[6,25],[5,26],[4,27],[3,28],[6,24],[5,25],[4,26],[3,27],[2,28],[6,23],[5,24],[4,25],[3,26],[2,27],[1,28],[6,22],[5,23],[4,24],[3,25],[2,26],[1,27],[0,28],[6,21],[5,22],[4,23],[3,24],[2,25],[1,26],[0,27],[6,20],[5,21],[4,22],[3,23],[2,24],[1,25],[0,26],[6,19],[5,20],[4,21],[3,22],[2,23],[1,24],[0,25],[6,18],[5,19],[4,20],[3,21],[2,22],[1,23],[0,24],[6,17],[5,18],[4,19],[3,20],[2,21],[1,22],[0,23],[6,16],[5,17],[4,18],[3,19],[2,20],[1,21],[0,22],[6,15],[5,16],[4,17],[3,18],[2,19],[1,20],[0,21],[6,14],[5,15],[4,16],[3,17],[2,18],[1,19],[0,20],[6,13],[5,14],[4,15],[3,16],[2,17],[1,18],[0,19],[6,12],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[6,11],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[6,10],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[6,9],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[6,8],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[6,7],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[6,6],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[6,5],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[6,4],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[6,3],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[6,2],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[6,1],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[6,0],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2]] pf_proven: false id: 53 names: ["MM(4,4)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-3] period: [1,0,8,24,216,1320,10160,74760,584920,4598160,37007208,300946800,2478423024,20594285712,172576537848,1456301150304,12366293785560,105584753363232,905910291976976,7806631814508384,67538294658828136] pf_coefficients: [90346815488,1512647559168,1038988378112,3069766575104,18595543344128,4517340774400,2784670547072,36406725125632,84651452758016,9260548587520,1285439158016,33082047404352,161590464085920,179158413270016,8944334733312,171246574784,17230817035904,146495768579968,336646293645152,176956146331648,3252485357568,-150126947296,5175399245152,79148120279952,304649805062784,329743745390272,65366290034688,-105543964256,630322579008,26844810404016,166077766194352,298697696509632,121350957280512,-33515277912,-140434823088,5477366572000,57443935513808,163096415059168,110246283169536,-5792997088,-78642882768,569263455828,12360025930368,56138224230976,60215392244352,-387285548,-17530859992,24851969736,1556810065980,11919468230880,20526404928000,42553348,-2852125844,9786430100,113723505000,1475325766040,4240829117568,9809492,-445428820,4163290376,8633822332,100422512040,490557475488,476675,-54345098,785956180,714476000,3534197576,24496974240,-14198,-3008978,83756202,-76258004,-474116544,-1358561760,-409,29504,4392935,-19080688,-169165328,-554658048,60,2476,-964,-978796,-17484560,-81565056,-180,-2135,-16442,-622912,-5528448,120,68,-3840,-155520] pf_exponents: [[5,16],[5,15],[4,16],[5,14],[4,15],[3,16],[5,13],[4,14],[3,15],[2,16],[5,12],[4,13],[3,14],[2,15],[1,16],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 54 names: ["MM(2,21)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-21] period: [1,0,8,24,240,1440,11960,89040,731920,5913600,49519008,416095680,3554134584,30566888352,265408469040,2319246113184,20400180886800,180392364801792,1603103294139776,14307945541718400,128206575372098080] pf_coefficients: [80,136,480,59,612,880,2,177,884,480,-1,3,182,408,1,64] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 55 names: ["MM(3,12)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-12] period: [1,0,8,30,240,1740,13130,106680,862960,7248360,61407108,528795960,4601846634,40429509120,358174142040,3195237585540,28684437827760,258911605764240,2348446592543480,21394530220686480,195673077392761540] pf_coefficients: [2776854599064,6269587903935,41652818985960,3450439949526,85618079926560,236032640920440,-3744951508842,35481691360980,448657585509825,624792284789400,-6837055033991,-62140837221684,128662815451950,1115756426249100,760858160143536,-4256383591707,-94199212599080,-395728732796100,195474204144540,1296580154054940,333222551887680,-787379756030,-57603821214756,-534404120995897,-1147890391222950,111044636249364,550132821293040,637207557563,-16379236618386,-328360724371353,-1434588417777328,-1489589105647308,12201996145320,574633632330,610986241934,-113154903520658,-873399136528176,-1766166965958960,-679031561507616,235104611813,2413499426550,-18605229824711,-319213167657462,-1059252819579972,-778620511612440,58204408813,1018491844278,1406396234120,-69946262191154,-391800567528152,-460875616627536,8576713123,240320084980,1460824073189,-7140387844212,-91838352862524,-170203884955128,520006275,37208621504,323402727349,436749814140,-12614052398672,-40567259376216,-51331023,4413599622,27156466495,207021474182,-701441573332,-5975922385632,-12087916,527979888,-1944007963,17118391570,35106955132,-470115910320,-717900,61336912,-744408019,-271893294,4183349488,-11296484856,4738,4138560,-89287996,1108842,163302496,896152224,790,34432,-5617636,18222272,128718424,332131488,-56,-4672,-86634,1443264,19771160,75651456,168,3950,17672,960544,6875184,-112,-68,3584,235872] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 56 names: ["MM(2,19)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-19] period: [1,0,8,30,240,1920,13490,121800,953680,8465520,72400608,640258080,5712448434,51215083920,465714214680,4244617437060,39046971609360,360600480651840,3348541116411920,31227535808520480,292332317008457440] pf_coefficients: [700447,3721502,7004470,8156240,33298724,24515645,9533257,64369128,106754794,35022350,6394193,65782326,186227290,142995844,16810728,2434948,38459358,170297843,230441574,65818272,460577,12695856,88255865,193166766,100427172,16768,2025642,25026212,90580536,79117992,-5500,83001,3062113,22286954,34381652,-505,2514,1867,2030560,7489484,13,1192,-6452,-63568,485016,-13,-11,-3952,-32356,-832] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 57 names: ["MM(2,20)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-20] period: [1,0,8,36,288,2220,18260,154560,1348480,11977560,108253908,991350360,9181132884,85841643888,809169270624,7681660402416,73377542684160,704771049476208,6802168839727976,65938575048519888,641705933869811668] pf_coefficients: [15251013,76520485,152510130,117642520,759752066,533785455,88160926,1028775408,2645500271,762550650,36819936,646638706,3195245200,3766043626,366024312,8698884,216212346,1722212768,4148945544,1803774936,989458,38703964,473750284,1975038476,1864833232,-9642,3411340,64810856,460695886,811303488,-14033,179268,3356100,48792278,166315192,-789,25110,-83340,1076112,13882456,26,1760,-12903,-145388,-94496,-26,-35,-7904,-61072,-1664] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 58 names: ["MM(4,3)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-13] period: [1,0,10,24,318,1680,16300,115920,1040830,8403360,74492460,638650320,5698044660,50443192800,455025628200,4107495616224,37455873856830,342631247449920,3154154039043436,29138266261055952,270387054957195748] pf_coefficients: [11566080,13608192,115660800,2821120,121931520,404812800,-2426880,33887232,391384320,578304000,-1413248,-5195264,121295872,524755200,277585920,-256864,-4622720,3240448,168993792,241694208,-4544,-899296,-5887616,14151296,78764032,3296,-64256,-975312,-3506528,8142464,204,-4000,-1936,-507088,-828352,-7,-464,3872,23688,-87360,7,8,2464,13232,560] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 59 names: ["MM(3,10)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-10] period: [1,0,10,36,366,2640,23320,200760,1815310,16611840,155031660,1464807960,14002961280,135126351360,1314742486200,12883058924736,127028521581390,1259411044869120,12547426630008556,125556711223817016,1261345463067737476] pf_coefficients: [40704000,35195432,407040000,-17421612,359821752,1424640000,-34617668,-23158818,1279044712,2035200000,-18518272,-140881698,185538862,1846313352,976896000,-4793329,-71302560,-195092810,457404132,891894960,-559445,-17135645,-107715480,-88993356,266128064,3468,-2186397,-23192388,-73283204,-164576,7042,-152290,-1960848,-15169172,-18308424,397,-10612,25508,-872112,-3757912,-13,-885,7700,67784,-82216,13,20,4784,31752,1040] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 60 names: ["MM(5,1)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/5-1] period: [1,0,10,42,342,2640,21250,180600,1562470,13851600,124842060,1140867420,10548492570,98483144760,927195546420,8792598907092,83908363980870,805211021334720,7765325192171404,75219042604887324,731511471957764212] pf_coefficients: [272751164474100,1326506414995079,4091267467111500,2392276565125616,19780902576820064,23183848980298500,2377891755151420,34027113684817444,111586108793520505,61369012006672500,1500451765659460,31959138752406576,184219863856369188,294379665690178540,74733819065903400,634065827285212,19135145153473138,164706485503473778,469946231879084468,357628075303345596,32730139736892000,177928151135616,7839379747601060,93919352955158076,403578827059263234,556545780396036652,156380122244862576,29087096107972,2261656937449728,36899681408194948,220793097611970542,463463519529877876,239184575253629544,516735609028,456231304573288,10360478881116242,83345294885991340,245448991594066376,195009930976833264,-1070549581494,59864025069134,2096185571105232,22536758615619690,89631156647328724,100940553549440232,-290818807976,3447591203340,299913507943822,4401008270049416,23412785120237200,35978659797691608,-37054279100,-437525006180,29037776288000,608414731240888,4399632740291216,9150407388477336,-1515315492,-143041539040,1933649554944,56291462631174,580771783464040,1665372820635168,239215292,-21636375138,167612897194,3085064006048,50542765687156,210714097461264,38146448,-2442295684,29905920896,73084910794,2483306626652,17161997900736,1625276,-208302152,4163918288,-566317722,29978862628,715023698616,-35544,-9868728,338524666,-316650656,-4312356632,-6389336880,-1641,3030,14126164,-64002622,-596467204,-2860073688,168,9588,68082,-4489812,-61738584,-276858888,-504,-8205,-61440,-2949288,-20557368,336,258,-13440,-743904] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 61 names: ["MM(2,17)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-17] period: [1,0,10,42,414,3300,29890,275940,2608270,25305000,248504760,2480131500,24996821850,254535601320,2612323410840,27005386700292,280899659962350,2937950004509520,30878474487802084,325960773366267468,3454488800484786064] pf_coefficients: [17727940,47452732,177279400,51239477,400876912,620477900,28719434,363088702,1218943172,886397000,8782543,169273876,958664473,1562482112,425470560,1322684,42555106,384463114,1102964660,696963120,37187,5281118,80112855,392394560,456149412,-13026,238966,7132816,69331328,148485888,-995,11442,3879,4318688,22881836,24,2278,-16030,-146332,928456,-24,-35,-9600,-76072,-1920] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 62 names: ["MM(3,7)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-7] period: [1,0,10,48,438,3720,33940,320040,3096310,30581040,307050660,3124616880,32157496140,334120026240,3500069670240,36925978737648,391999621294710,4184287849204320,44882402824091404,483534091923277824,5229805518421340428] pf_coefficients: [523224,-613860,5232240,-1988602,-3150264,18312840,-1686083,-12066324,-3555084,26161200,-692473,-9185534,-26351974,2178696,12557376,-143210,-3153096,-19335469,-24420684,3197376,-10184,-510410,-5766121,-18444514,-8146432,1109,-32906,-672588,-4911170,-6608496,163,-1556,-5048,-396784,-1606304,-4,-314,2461,15004,-78760,4,7,1536,9128,320] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 63 names: ["MM(2,16)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-16] period: [1,0,10,60,510,4920,47080,473760,4908190,51641520,553758660,6015027480,66068716560,732777645600,8193440112000,92267954338560,1045531511545950,11912526313116000,136392754374919900,1568467923256377000,18107892986053216060] pf_coefficients: [20847360,89233408,208473600,128014592,871162368,729657600,89675392,1108504448,2996139008,1042368000,34511456,659811136,3418219520,4228781568,500336640,7392672,207337312,1761941696,4415346304,2014571520,771616,34521872,462514336,2024369152,1977616640,3192,2763864,60353584,456112928,832563200,-7257,108668,3040416,47409120,166441600,-426,12244,-54044,1263832,14126720,11,929,-7539,-100112,80240,-11,-19,-4488,-41040,-880] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 64 names: ["B(3,3)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-13] period: [1,0,12,0,540,0,33600,0,2425500,0,190702512,0,15849497664,0,1369618398720,0,121821136479900,0,11079206239530000,0,1025579963180813040] pf_coefficients: [108,324,-1,312,96] pf_exponents: [[3,2],[2,2],[3,0],[1,2],[0,2]] pf_proven: false id: 65 names: ["MM(6,1)","P1 x dP(5)","dP(5) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/6-1] period: [1,0,12,30,396,2160,20370,149520,1315020,10864560,95522112,831738600,7421959314,66452546160,602198697672,5487697755540,50379500534220,464909363455680,4312980267229920,40186380707427240,375976191790495296] pf_coefficients: [7017780,16251396,70177800,13257143,128401980,245622300,5528430,90520212,364126980,350889000,1584833,44261534,240070291,437338020,168426720,3350,13995814,127737312,285426534,185361624,-84236,701719,35675145,154965328,122619312,-6726,-215470,1945339,37208908,65961120,991,-15509,-130446,2053926,13821348,58,-1769,-5829,-12156,788040,-3,-74,1560,-1240,20736,3,4,1104,636,288] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 66 names: ["MM(2,15)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-15] period: [1,0,12,36,564,3600,41700,360360,3839220,37749600,397468512,4138207920,44021273604,471478159152,5088462175368,55412859037536,605960615943540,6675465083107392,73789549749726096,820171224834843024,9144788734425636864] pf_coefficients: [2270400,10629568,22704000,19605808,91607648,79464000,17824032,141036704,283906688,113520000,8066004,102767712,374627984,369910048,54489600,1543220,35386008,224146632,430714144,166981440,39233,4789694,58691292,217878072,177517056,-16222,43214,4229442,43647720,78675120,-803,8293,-510693,439656,12248832,44,3333,-20591,-618918,-635712,-88,88,-6886,-213840,44] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1]] pf_proven: false id: 67 names: ["MM(4,2)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-2] period: [1,0,12,42,468,3360,31350,275940,2599380,24566640,237977712,2329228440,23095193814,231069822984,2331814229316,23697633011052,242363892693780,2492437524280704,25758614080714944,267380580846395016,2786493905632399248] pf_coefficients: [2738310814550,-65140275834665,41074662218250,-254264886354505,-1068086113098410,232756419236750,-405412937303118,-3689852299987640,-6446743201730875,616119933273750,-366346098958349,-5337723323461428,-20084332882695695,-17840931208044850,750297163186700,-208590875191540,-4461394129988780,-26770045659752880,-51143529568388620,-22397534357619960,328597297746000,-76393598312216,-2417997395944496,-20926365640176017,-63805013131023510,-60305831549120940,-10000400514042240,-16547727218670,-892118279224590,-10768452171542340,-47176993962000078,-71522768570325132,-25811047449794880,-1037066721151,-225686402735778,-3842775953358356,-23141592528374492,-50613304729028236,-29555490712896192,561412136547,-37286455874996,-967785714752460,-7919631265610682,-23853937508027404,-20267628376173744,202493094020,-3147037745472,-170063803015567,-1921491705087864,-7853797192284692,-9270786641848896,31644256291,157340861984,-20033602934875,-326267824515318,-1829663513842224,-2960420143666416,1994326638,90292540754,-1543575907566,-36996719935224,-296350526619252,-666242844025296,-120364357,14985881388,-117185458335,-2536356221950,-31588701521280,-103245129250608,-28835087,1741703306,-19166766408,-84650620474,-1948884799916,-10285634389632,-1406479,155677058,-2906554559,-292340514,-41496659324,-542784367536,21588,7962396,-255251987,230829406,3107105364,212874096,1375,23514,-11415049,45695160,479532636,2279245104,-104,-7372,-78526,3254124,45580476,227499456,312,6173,46372,2157936,15071232,-208,-176,9984,539136] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 68 names: ["MM(4,1)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/4-1] period: [1,0,12,48,540,4320,42240,403200,4038300,40958400,423550512,4434978240,46982827584,502437551616,5417597053440,58831951546368,642874989479580,7063600894137216,77991775777488144,864910651813116480,9629507221598000880] pf_coefficients: [192,80,864,4,240,1248,-1,6,256,576,2,96] pf_exponents: [[3,3],[3,2],[2,3],[3,1],[2,2],[1,3],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 69 names: ["MM(3,8)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-8] period: [1,0,12,54,540,4620,43770,425880,4256700,43462440,451113012,4746523320,50513059674,542741367168,5879793348000,64154767400724,704382896259900,7776467248060368,86274802336327176,961368516311603400,10754985439398631860] pf_coefficients: [202551872501760,2102031198484480,3038278087526400,5126366836383968,32452559688843520,17216909162649600,6216581596479000,75348082494763936,187893568986944000,45574171312896000,4527867906274336,86588627946611652,418154944133365216,505230229564179200,55499213065482240,2094892909557312,60424855683897472,458802210464741832,1086600617705650016,622061133963563520,24306224700211200,586614091424728,27725594033292792,307143524359438112,1148022118452592692,1304021109676949568,274373944895969280,62857400275880,8537525896533708,136949961280860528,740874590588531792,1338566271812911032,565353720446284800,-21989602590940,1690033808493212,42142932511342796,319643816139689832,838762528996452816,568974317474927520,-12068832151152,167875969855126,8945345004022456,95823301686298056,351389267523266736,349134474989736000,-2825727543242,-10545081315552,1255158318533428,20073081977110132,102281226192603024,143061111927066240,-368039486952,-6731604510896,103661701802472,2864735539907894,20795604027164592,40643986419591840,-20177719282,-1242475793424,4299195548894,260798150781216,2881633055793252,8034202107244800,1320862878,-157649818374,556935130638,13311025563524,255653617923000,1074675453787440,283510772,-17477626788,185786047318,328923689034,12632392088832,90413601079680,13755803,-1581523454,29463730422,4339896714,172333058004,3845586035520,-140702,-79042782,2528370106,-2754482328,-29736424944,-47899350720,-12200,-262586,112394995,-533662012,-5448501120,-22613731200,768,62624,897566,-30068388,-505259424,-2508369120,-2304,-51928,-364390,-19362432,-160561440,1536,1504,-73728,-4665600] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 70 names: ["V(3,22)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-10] period: [1,0,12,60,636,5760,58620,604800,6447420,70022400,773578512,8660892240,98071697724,1121159239200,12922708539312,150012340798320,1752282573404220,20581063744475520,242914688315991120,2879646849072124560,34271627203824403536] pf_coefficients: [304,300,1824,88,1350,3344,4,264,1950,1824,-1,6,272,900,2,96] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 71 names: ["MM(3,6)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-6] period: [1,0,14,66,762,6960,73490,780360,8578570,96096000,1094752764,12643031940,147663979386,1741345790184,20704205229708,247933266216636,2987588335021290,36199345716197664,440766040359841196,5390384130861541812,66182802858881560852] pf_coefficients: [3649676342544,16564339819584,54745145138160,29700728643708,221959624752576,310222489116240,28572540839370,370872416725020,1142914159252800,821177177072400,16044102305181,345421857799764,1790950775134644,2799284920464960,1000011317857056,4817291879088,201050769300327,1602624161568474,4146959810616084,3213355483506816,437961161105280,97479732582,75875296119012,922557124988865,3566956376708280,4546587668826096,1351589437361664,-593117777808,17735361736230,360602422890480,2005095186949761,3778079100121512,1849406945263344,-287726676858,1782572234877,96677732775528,778309236956124,2072193192755730,1496897568021312,-74854861604,-339431247750,17070087762747,211709208525750,791027147073096,804648463799688,-11783511307,-172708212941,1723292355744,39424737833118,212850834171498,302253815558016,-983033704,-34810045268,58431205001,4661899237182,39449863345032,80112524646636,-2968439,-4478520639,2822909943,289009962188,4707997725594,14584363482240,7456698,-461269787,3298364843,3935063294,308502657432,1691533216344,542575,-43292361,723825307,-208799094,5165901946,101985008664,1242,-2758038,73177351,-35064385,-775376872,-185051652,-586,-40542,3865731,-13009020,-130207244,-583972680,22,2674,61708,-1089960,-14834344,-69121536,-66,-2138,-13212,-742420,-5131536,44,50,-2464,-178200] pf_exponents: [[5,17],[5,16],[4,17],[5,15],[4,16],[3,17],[5,14],[4,15],[3,16],[2,17],[5,13],[4,14],[3,15],[2,16],[1,17],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 72 names: ["MM(2,12)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-12] period: [1,0,14,72,882,8400,95180,1060080,12389650,146472480,1767391164,21581516880,266718438756,3327025429728,41849031952728,530135326392672,6757845419895570,86619827323917888,1115719258312182524,14434274832755201424,187477238295444829732] pf_coefficients: [336,368,2016,112,1656,3696,4,336,2392,2016,-1,6,336,1104,2,112] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 73 names: ["MM(2,13)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-13] period: [1,0,14,84,930,9720,108680,1259160,14951650,181377840,2236476564,27953411640,353361350496,4509782733456,58031025332280,752067124833024,9807545546408610,128603771344784736,1694618340018359756,22428063969003693000,298005008539464526300] pf_coefficients: [90261504,236743752,902615040,259615220,2144264472,3159152640,155044836,2073260650,6946993032,4513075200,54635248,1060639312,6051505626,9382284072,2166276096,11297833,309539216,2717127360,7535920628,4342811760,1199694,51118901,672908964,3049979172,3298060432,19655,4382537,88743552,659592852,1238446288,-7918,179974,4984887,71121244,241404104,-474,11686,-33993,2470560,21853752,10,1018,-10092,-113664,360208,-10,-24,-5920,-51856,-1120] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 74 names: ["MM(2,11)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-11] period: [1,0,14,108,1074,13440,154760,1951320,24999730,325321920,4329903564,58230322920,792790765536,10897685390592,151002411856296,2107652233775088,29600261223943410,418012732813708032,5932160347917447644,84554469308246209272,1209971664545179940404] pf_coefficients: [354434952,1120624580,3544349520,1426075538,10347342424,12405223320,952354451,11739128228,34068440044,17721747600,360406745,6794274222,35015744398,46583291864,8506438848,76656064,2165775976,17873032677,44264468668,21741569664,8107855,374640142,4877875141,20398647578,19561776960,169244,31146402,686588800,4879071086,8367534672,-42627,943174,39586077,567233422,1806541296,-2835,57006,-298636,21058876,177965256,54,6048,-57009,-840288,3511416,-54,-117,-33120,-350712,-6048] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 75 names: ["MM(2,14)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-14] period: [1,0,16,90,1104,11460,133990,1588860,19463920,242996040,3085849116,39717909000,517050650886,6795794645640,90057722330004,1201984113750420,16143133369025520,218006719193611920,2958554046040810360,40326739672865096880,551849381049227779804] pf_coefficients: [8530544,7197384,85305440,-775025,70661088,298569040,-3089351,7047786,244031928,426527200,-1483142,-11718242,49630835,345428928,204733056,-307603,-5440392,-14659347,87932628,164860704,-22370,-963588,-8161898,-5176588,46124604,1393,-68010,-1139727,-5728116,853868,199,-2652,-15678,-628424,-1531244,-4,-354,3993,18368,-112296,4,11,2496,13104,512] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 76 names: ["V(3,18)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-9] period: [1,0,18,120,1566,18360,237060,3129840,42576030,590756880,8335922868,119226824640,1724740692444,25190718593040,370964999876328,5502056132532960,82116488056364190,1232339463675983520,18584862355966240620,281509812816269534640,4280974286876659001916] pf_coefficients: [648,540,3888,135,2430,7128,6,405,3510,3888,-1,9,414,1620,3,144] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 77 names: ["MM(3,3)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-3] period: [1,0,20,132,1812,21720,289100,3927840,54999700,785606640,11411469720,168024133200,2502267329100,37624316970240,570403933653840,8709618968882832,133823208866773140,2067570542516724960,32101096905271263584,500594395165518283344,7837330365313518341272] pf_coefficients: [222095360,345931776,1665715200,229028480,2281376256,4441907200,82528576,1306669376,5554744352,4997145600,16972128,399085344,2868423472,5883575904,1998858240,1813144,68230608,769707960,2829735632,2264276032,47372,6230512,108748884,688916744,1038953056,-8046,281640,6667872,82905564,235432880,-499,13050,-19240,3410144,24529384,9,998,-12938,-124576,539968,-9,-31,-7632,-61672,-1440] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 78 names: ["MM(7,1)","P1 x dP(4)","dP(4) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/7-1] period: [1,0,22,96,1434,12480,148900,1606080,18905530,220617600,2653726572,32173310400,395858159004,4914146869632,61577826363768,777326478504576,9879569936932410,126302041902296832,1623171714774800476,20957573767984311744,271730328592818356404] pf_coefficients: [191278080,288371712,1912780800,177334528,2394224640,6694732800,60344832,1337342720,7156055040,9563904000,11220352,466633984,3809686272,9034168320,4590673920,288512,90381312,1313840128,4727677696,3983966208,-219488,4998336,229349440,1574624000,2077999616,-18592,-502368,12273856,243313408,667073024,1212,-46032,-357744,11805376,92554752,92,-2264,-21376,-173328,4168064,-3,-100,2888,-9056,-21856,3,8,2064,64,528] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 79 names: ["MM(3,5)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-5] period: [1,0,22,126,1722,18780,236470,2998380,39440170,528743880,7217314272,99890253540,1398845548254,19782732001032,282137288182464,4053167060498556,58598782845778890,851949563001128592,12447938657312194036,182687962987455091452,2691887340751560200392] pf_coefficients: [16639059750514890,87542288252643177,249585896257723350,158600728888633640,1310461303559240952,1414320078793765650,154334864105065059,2247104374865535796,7414364299170603015,3743788443865850250,94311233930622317,2047202143837813332,12113168518997221356,19603459148780480220,4559102371641079860,38701667012444995,1172059216528269092,10424093249552225895,30775467342321960836,23852935969703895348,1996687170061786800,10863066254363917,455552810816284196,5633192513133324071,25279148121177069990,36324165421420727116,10440922104787420368,2013197416175316,124579259646602052,2073423752085986121,13020249474165561976,28792442986975811856,15573362952119085480,203901609172504,24140440214482854,540635202236926659,4567679941044221704,14284979041903024304,12044520835618219488,-3554534131622,3226697271546284,101139264782550458,1135086212324165748,4820840125250316956,5820174098273139624,-4654514804787,267506240454222,13428956621612198,202101939476283408,1149775252024877984,1909675174398298368,-708329875868,7247761743924,1221041440024730,25428453337224106,195543914187352372,441534567438241560,-45593682758,-1274160356578,72833036419533,2159943564496062,23288580262952448,72401405405795640,344062954,-212150369124,3458823904380,111683283673314,1839890000885436,8228718689576832,240538039,-19763537372,313932937756,2640261592966,84613589810568,606964853524224,11290729,-1388824150,35948282788,-17355722118,1342925381900,24289893240120,-76704,-58508844,2481735277,-3864350290,-60743121416,110811805920,-8178,-303522,85123445,-439014710,-5617337432,-36690440064,320,35592,502948,-25280550,-413276480,-2381518560,-960,-28470,-289242,-16621536,-128547984,640,1056,-56320,-4030560] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 80 names: ["MM(2,9)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-9] period: [1,0,22,174,2514,34200,501070,7586880,117858370,1870811040,30182748372,493707397260,8167630657494,136429180976088,2297737661733228,38976255128534724,665301264589176930,11419196825132018208,196963356050977157356,3412271435209303131036,59349793598057112571564] pf_coefficients: [1156602627,2432454171,11566026270,2180832814,21710463138,40481091945,1081614794,17076830696,69451424553,57830131350,320495624,7275730258,49152182076,92867844258,27758463048,56396924,1803663274,18475102414,60631223566,42694428672,5230066,257499448,3923559726,20646075298,26375039372,113734,19311296,453227034,3859944956,8365088348,-18907,641894,22953224,369455180,1418470580,-1031,24976,-49938,12261988,115564004,16,2174,-28323,-358692,2204080,-16,-55,-16128,-165208,-2816] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 81 names: ["B(3,2)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-12] period: [1,0,24,0,2520,0,369600,0,63063000,0,11732745024,0,2308743493056,0,472518347558400,0,99561092450391000,0,21452752266265320000,0,4705360871073570227520] pf_coefficients: [256,768,-1,704,192] pf_exponents: [[3,2],[2,2],[3,0],[1,2],[0,2]] pf_proven: false id: 82 names: ["MM(3,4)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-4] period: [1,0,24,156,2280,27960,387060,5450760,79246440,1175608560,17739354024,271393935120,4199913138036,65629079019504,1034093043280440,16411524783029376,262102861132243560,4209259424672880864,67933196369737320336,1101221629058905548480,17922213082804219623720] pf_coefficients: [2039054332723200,7247342226309120,30585814990848000,11136374564315136,104358393474416640,173319618281472000,9911805542473728,152094628789616640,572506690034073600,458787224862720000,5710114119407616,128161985014849536,797372516812800000,1478341103711846400,558700887166156800,2226322433705472,70379179391692800,640018130055370752,1984143091924746240,1768184773997690880,244686519926784000,585174096882560,26670731823873792,335375261442402816,1529351696823081984,2307013478435119104,765239309071810560,94716451935232,7140017091351552,121979356018805760,769352904340999680,1723091983487708160,979284649097871360,5034211306976,1342453757760064,31688464685989120,268888191214024704,838990905717685248,715508237247621120,-1682114786288,168231134738656,5910898476167616,67206693888312576,283566045021398784,340344197546803200,-498628293008,11377697495568,777917872177504,12074401744897856,68420739510104448,112210760304714240,-65291642040,-205594055360,69195211183952,1531553816585056,11824230472434752,26344041988596480,-4176136960,-140224087752,3987008477712,130698570491440,1433178912814976,4408939281774720,-7323880,-17578840176,201635219320,6763579237216,115401857114976,512962547393280,17573733,-1526310490,22639252500,160770699744,5440155860352,38887368114240,917325,-107200800,2717225488,-1137514132,90178604168,1614971808000,-739,-4690710,189850141,-321082806,-4641591912,7834456560,-601,-38812,6793235,-37146122,-497985080,-2910600000,18,2566,59047,-1928498,-35251656,-212008800,-54,-2033,-19280,-1256448,-10782000,36,68,-3456,-291600] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 83 names: ["V(3,16)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-8] period: [1,0,24,192,2904,40320,611520,9515520,152412120,2491104000,41404233024,697598415360,11887922751936,204543454123008,3548536418059776,62004013026988032,1090207952792089560,19275174299698656768,342468223449089584704,6111542317740696764928,109496223054017165830464] pf_coefficients: [1024,768,6144,176,3456,11264,8,528,4992,6144,-1,12,544,2304,4,192] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 84 names: ["MM(2,8)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-8] period: [1,0,26,216,3582,54480,874700,15000720,256965310,4576672800,82090011276,1499403018960,27653284149876,515224856162016,9678733345061352,183115820608777056,3486535308267344190,66749002134430963776,1284241901262108367436,24817362073996320992592,481491336107896965130852] pf_coefficients: [11030784,17910464,110307840,10313344,150449728,386077440,2387600,69464704,454936768,551539200,158160,11737776,170978752,580319168,264738816,-4588,398112,20414416,181383488,257921664,-608,-5716,169456,14672816,69556096,7,1272,-15200,-153016,3608576,-7,-20,-8624,-91216,-1456] pf_exponents: [[4,7],[4,6],[3,7],[4,5],[3,6],[2,7],[4,4],[3,5],[2,6],[1,7],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 85 names: ["MM(2,10)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-10] period: [1,0,28,216,3516,49680,783640,12594960,208898620,3533634720,60801668928,1060525509120,18710864824344,333318461924448,5987166863325648,108317706124563936,1971987277046246460,36100588919692385088,664144384355376900976,12272230431006947777376,227670003605451241971136] pf_coefficients: [87040000,85888000,870400000,27987200,779392000,3046400000,771200,251430400,2529152000,4352000000,-1653888,25678720,794137600,3420032000,2088960000,-395796,-3665856,97416640,1042208000,1584384000,-29335,-1073676,-1622960,131255360,471513600,788,-77590,-1146248,1876656,58746240,133,-2386,-23095,-606192,1456928,-2,-214,3572,10808,-102880,2,9,2240,10672,448] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 86 names: ["V(3,14)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-7] period: [1,0,32,312,5520,91680,1651640,30604560,583436560,11352768000,224645958432,4506386808000,91434963225144,1873214113234464,38695098186167280,805079741247573792,16855708323075233040,354862100179318727424,7507744262279847981824,159540694369215435619200,3403723755725696386915360] pf_coefficients: [1840,1208,11040,243,5436,20240,10,729,7852,11040,-1,15,742,3624,5,256] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 87 names: ["MM(2,7)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-7] period: [1,0,36,348,6516,110880,2069820,39606000,780530100,15697106880,321056585136,6656993869680,139616732352636,2956602323683008,63131484929774976,1357740529454797488,29384303558779515060,639470800106772910848,13985084750505125955984,307201390480674686204208,6774907584038558778932976] pf_coefficients: [960993600,559184640,9609936000,-286630276,6146485800,33634776000,-380393772,-638697930,22899298800,48049680000,-157746516,-1684575470,1909333486,34060265400,23063846400,-33565017,-647447948,-2643610830,5899431828,16748267760,-3714599,-118273697,-1062133712,-1599664636,3638030688,-149690,-11058369,-170361496,-799487244,-260235504,6766,-493730,-11202202,-118040652,-227085624,551,-15748,-26278,-5560248,-31164120,-7,-955,18408,150560,-801576,7,40,10976,83448,2016] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 88 names: ["MM(2,6)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-6] period: [1,0,44,528,11292,228000,4999040,112654080,2613620380,61885803840,1490373453744,36386869189440,898607084375616,22407788170639872,563420642442797568,14268868232534243328,363645785196486035100,9319184268623160277632,240004469570133005573264,6208361451073231685966016,161234859986446337989975792] pf_coefficients: [3584,2112,21504,368,9504,39424,12,1104,13728,21504,-1,18,1088,6336,6,352] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 89 names: ["V(3,12)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-6] period: [1,0,48,600,13176,276480,6259800,146064240,3505282200,85882130880,2139884768448,54055299735360,1381203124913304,35635462470447840,927068343971532048,24292067745404178720,640545056435479080600,16984212847751657439360,452567591447122633310400,12112614406551107374960320,325474360593610269164213376] pf_coefficients: [3600,2040,21600,359,9180,39600,14,1077,13260,21600,-1,21,1102,6120,7,384] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 90 names: ["MM(3,1)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-1] period: [1,0,54,672,15642,336960,7919460,191177280,4751272890,120527514240,3109617573804,81336932550720,2152021034457756,57492903382282368,1548779408915134968,42023349488330001792,1147430010272379786810,31504595489224640310528,869291145239891056320924,24092072648449534765168704,670360624894032125557761972] pf_coefficients: [2160,1728,12960,360,7776,23760,16,1080,11232,12960,-1,24,1152,5184,8,432] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 91 names: ["MM(8,1)","P1 x dP(3)","dP(3) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/8-1] period: [1,0,56,492,10536,168600,3180980,58753800,1129788520,21955158960,434020476456,8677243842960,175379224111476,3576737667655152,73536744256071096,1522654646329008192,31728822804724205160,664926569642695712352,14006122100667993440144,296397635285277517223232,6298831673920420293194536] pf_coefficients: [140765405184,140951971840,1407654051840,61021975680,1228313793536,4926789181440,14481221760,488956014720,3846083465216,7038270259200,1813042296,110773873632,1447608623328,5054333418496,3378369724416,64583364,13471331328,308852302064,1835463402144,2295611774976,-9065133,623681400,33715086372,368497404080,815788817856,-736825,-15859242,1393737480,35918603028,155937753888,14670,-1767242,-13071861,1256041980,13821279480,1491,-38718,-1059187,-13904424,418487832,-27,-1281,65322,-625200,-4980024,27,162,47952,-81000,12096] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 92 names: ["MM(3,2)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/3-2] period: [1,0,58,600,13182,247440,5212300,111835920,2480747710,56184565920,1295634924108,30309698181840,717612320198004,17162267670868320,413994858048359016,10060927385787838560,246087972753036306750,6053595838688125865280,149667150902275811035660,3717016065023863075840080,92686875939407743277759332] pf_coefficients: [28134124214862348288,72363683936275070976,422011863222935224320,79230199232827883520,1049494212807909507072,2391400558263299604480,50258718084798922752,1088700549067444027392,5791302672221215457280,6330177948344028364800,20850651240070373376,648903664448889569280,5737226387712833912832,15023192267394311454720,7708750034872283430912,5989645019504476160,252474397470975123456,3240786361867871698944,14336562530545412308992,18029597086728541569024,3376094905783481794560,1217686007823581184,68304982630043557888,1191323475673591775232,7750518743538291474432,16723474937440395558912,7820576962683811135488,173424908964951040,13254551215930920960,304283207906468229120,2718066921882644766720,8741586403644349464576,7114668444773201018880,16192471277827584,1861313642814717952,55782495256395927552,660759113233798750208,2955328413880452341760,3633209075609839042560,739090601903104,186608178486973440,7417014377289243648,114956437359095187456,690688563890271625216,1196961221440494600192,-29124796573952,12702891935438592,708799480784483328,14435229034611396608,115084318699632715776,271892664931498524672,-7050261350848,500274681880192,47216365843144704,1291076931291320832,13755710477336640512,43868838124113518592,-447528623712,1920238166848,2085086468014976,78893468111109888,1159013207720266752,5046948012474169344,-7268609408,-1078170277536,62272833165248,2992642604203136,65476228521784832,405049377418487808,565000768,-81047175296,2344605022272,53242351276160,2199418767646464,21351403121825280,26810076,-3985550368,163411902928,-285479910240,28318215087488,632007108854016,9084,-124267032,8068435632,-31038623872,-562829322912,4396583275776,-10037,-797154,191071852,-1399587656,-28774791296,-292600544256,175,36998,855434,-55596768,-1178421472,-9946541280,-525,-28261,-471264,-36724360,-325000320,350,1300,-81200,-8563968] pf_exponents: [[5,18],[5,17],[4,18],[5,16],[4,17],[3,18],[5,15],[4,16],[3,17],[2,18],[5,14],[4,15],[3,16],[2,17],[1,18],[5,13],[4,14],[3,15],[2,16],[1,17],[0,18],[5,12],[4,13],[3,14],[2,15],[1,16],[0,17],[5,11],[4,12],[3,13],[2,14],[1,15],[0,16],[5,10],[4,11],[3,12],[2,13],[1,14],[0,15],[5,9],[4,10],[3,11],[2,12],[1,13],[0,14],[5,8],[4,9],[3,10],[2,11],[1,12],[0,13],[5,7],[4,8],[3,9],[2,10],[1,11],[0,12],[5,6],[4,7],[3,8],[2,9],[1,10],[0,11],[5,5],[4,6],[3,7],[2,8],[1,9],[0,10],[5,4],[4,5],[3,6],[2,7],[1,8],[0,9],[5,3],[4,4],[3,5],[2,6],[1,7],[0,8],[5,2],[4,3],[3,4],[2,5],[1,6],[0,7],[5,1],[4,2],[3,3],[2,4],[1,5],[0,6],[5,0],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3]] pf_proven: false id: 93 names: ["MM(2,5)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-5] period: [1,0,66,816,20214,449640,11050500,278336520,7229175030,191680807920,5170776126516,141436710399600,3913830356610636,109367819733908736,3081869753752430784,87475718975886377136,2498694644909436895350,71773722693883847441376,2071921095580570577104476,60077006581885294766903424,1748948275070507410856022924] pf_coefficients: [45039227688,35129154060,450392276880,10491353010,315152058312,1576372969080,1317514185,86142511044,1012683498372,2251961384400,7235991,10765846098,256248076590,1358923397832,1080941464512,-14717714,427208376,30006810255,323116947612,626262803712,-1154076,-28693274,1278571479,35106001302,142520029056,3793,-2622354,-22692156,1383489438,14547522960,2091,-55332,-1132028,-12073248,522136320,-20,-2922,84265,-169428,-2322024,20,175,53760,169800,10560] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 94 names: ["V(3,10)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-5] period: [1,0,78,1320,37746,1051920,31464780,971757360,30859805970,1000739433120,33005374791228,1103665924746000,37332067569231204,1275110813852235360,43916809784375982168,1523516070448697925600,53186807444533509802770,1867145144587345769889600,65871893221799542211085180,2334228501643430357642648400,83045303002179224865297077796] pf_coefficients: [8784,4080,52704,592,18360,96624,20,1776,26520,52704,-1,30,1808,12240,10,624] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 95 names: ["MM(2,4)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-4] period: [1,0,90,1518,46086,1327320,41383350,1329442380,43944315030,1483208104560,50917875647940,1772309935089540,62403920630392110,2218776968192344560,79549747377569983800,2872780376189200144668,104402468130020165180790,3815396958853051120074240,140126210665498905986353644,5169190167764632103892820308,191450319654738146469285408876] pf_coefficients: [89512048353,63367211306,895120483530,13790779450,602613194932,3132921692355,-749296777,143098410028,2031498886942,4475602417650,-886430965,8120611350,494883219656,2826712465892,2148289160472,-172996168,-2466160886,45684103321,689822480522,1334459562576,-15459773,-527077168,-1679627669,72071251314,324246891444,-543404,-41638506,-649917208,959953520,35257056120,7306,-1427821,-40129157,-381439654,1058102124,677,-28190,-163059,-20032320,-80086260,-5,-1074,35862,303756,-3019536,5,57,21120,187740,3600] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 96 names: ["B(3,1)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-11] period: [1,0,120,0,83160,0,81681600,0,93699005400,0,117386113965120,0,155667030019300800,0,214804163196079142400,0,305240072216678400087000,0,443655767845074392936328000,0,656486312795713480715743268160] pf_coefficients: [1728,5184,-1,4416,960] pf_exponents: [[3,2],[2,2],[3,0],[1,2],[0,2]] pf_proven: false id: 97 names: ["V(3,8)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-4] period: [1,0,152,3840,157656,6428160,280064960,12618762240,584579486680,27660007173120,1331176443653952,64959370440222720,3206739717096129984,159854933855643586560,8035635968276347571712,406873893320932784947200,20732408686051781974758360,1062343600325163395688683520,54705987739091805901411964480,2829642239626465253780367452160,146947258941641074604414704833856] pf_coefficients: [28672,10240,172032,1152,46080,315392,32,3456,66560,172032,-1,48,3520,30720,16,1216] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 98 names: ["MM(9,1)","P1 x dP(2)","dP(2) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/9-1] period: [1,0,278,6816,317850,12989760,578870180,26074520640,1202038745530,56188933046400,2659346178750828,127118809021807680,6127982225500102044,297549405102317816448,14538647670281804217720,714298354601248816054656,35265990927515756816440890,1748759503238357469730261248,87059253009842453851770683996,4349633336135342914520882180160,218025951679781058147470195599540] pf_coefficients: [124954704000000,72003182720000,1249547040000000,17745498464000,658935110400000,4373414640000000,2335548992000,149783671840000,2153531094400000,6247735200000000,164335212160,18071719097600,458440896800000,2928095251200000,2998912896000000,4713457408,1161267717120,50637051059200,593019464480000,1361496084480000,-79313312,33253566656,2873437448640,60647075654400,266616741056000,-6689440,8087392,69311524032,3059244494080,25746194700800,-3292,-14881488,18790896,60013901504,1182471334400,2972,-131048,-12502912,-222661488,19363905920,-21,-1828,238840,-9327968,-123057568,21,392,186480,-1860544,46704] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 99 names: ["MM(2,3)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-3] period: [1,0,300,8472,438588,21183120,1115221080,60512230800,3385779824700,193681282922400,11280992971046400,666713972840509440,39882473476636717080,2410114496040572761440,146911176670738842956880,9022273007871371769192672,557703922922600896152376380,34671822350260575244748892480,2166467221931514296875989555504,135985690361969128122674005309536,8570369027078373864098777734669248] pf_coefficients: [2653687775232,1204628585472,26536877752320,217944937728,10872735224832,92879072133120,18994818432,1768164134400,35120696712192,132684388761600,674610336,139337733504,5211251495424,47322372344832,63688506605568,-8080084,4900921344,366922633920,6525779611392,21869782272000,-1084799,23375700,11189085264,414693658176,2864747312640,-7596,-2133414,56767768,10740193488,168113939328,461,-24850,-1475743,27307728,3773030112,-2,-518,36404,-935304,3163680,2,49,24384,-113424,4800] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 100 names: ["V(3,6)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-3] period: [1,0,396,17616,1217052,85220640,6349812480,490029523200,38883641777820,3152020367254080,259917911904104496,21734333812757966400,1838661488140000620096,157079889830458865926656,13532851175260662410660352,1174404851170539753963534336,102567197002978827892527466140,9008119389478435783966748566656,795101313792044241851836759258896,70492745075535384957296839185342912,6274880445066006154895142402038748912] pf_coefficients: [165888,39744,995328,3024,178848,1824768,60,9072,258336,995328,-1,90,9216,119232,30,3168] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 101 names: ["MM(2,2)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-2] period: [1,0,470,21216,1562778,114717120,9003183140,731280419520,61092935052730,5214279501137280,452740090474346220,39864177077179519680,3551194350054219704220,319476446183985555104640,28984144687601606543846520,2648791428251837717731698816,243613779231069900942041288250,22531742239031441852155128963840,2094370810230497976692085168353756,195545876883890170182876746500333248,18330955025532215164584180406074070708] pf_coefficients: [107488908950528,42653911071744,1074889089505280,6140455414016,399868466350080,3762111813268480,254356094464,57002443353856,1332863021306880,5374445447526400,-30207742080,3381936413440,185212837987072,1839318465546240,2579733814812672,-4473810688,-6856222464,11779220596736,248728241694464,863669999517696,-235554656,-11492329664,222452535104,15840420598016,114377391647232,-5080032,-573681824,-11126274240,385635581952,7188780320256,-244,-10790448,-532466672,-4385422016,186496116736,1076,-93320,-1951424,-273510672,-150635904,-3,-1564,131720,1273248,-44352096,3,104,75792,1030592,11280] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 102 names: ["V(3,4)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-2] period: [1,0,1944,215808,35295192,5977566720,1073491139520,199954313717760,38302652395770840,7497487505353251840,1493126207370030913344,301572606517249894041600,61627017349214878082106816,12718722541880617724729659392,2647214316675322606900471500288,555025852555692350954771059458048,117115566711982792889808392397460440,24852125190258474673660570907685107712,5300118106455156542190578158338402598464,1135402757829368078738986314513572479911936,244208555161530428249231276294337736584205632] pf_coefficients: [3207168,387072,19243008,14976,1741824,35278848,160,44928,2515968,19243008,-1,240,45504,1161216,80,15552] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false id: 103 names: ["MM(10,1)","P1 x dP(1)","dP(1) x P1"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/10-1] period: [1,0,10262,2021280,618997146,184490852160,57894898611620,18577980262739520,6078628630941923770,2017980469547810194560,677787871105419576309612,229822521771292422547713600,78544847401298833712365233564,27023066825193280095418880876160,9350292759403083454402321837623672,3251291295206191899542021840201543040,1135419680363633165532704261826930662970,398019935676633785029462060051815011815680,139996289012390941976855901022498875195107420,49389700185347152167087376207378249497326322240,17471605262147532861269868014190333047074433007796] pf_coefficients: [1751890683540702735360,-679200075233081832448,17518906835407027353600,-72728454628238448384,-7847463381683708426240,61316173923924595737600,-2858707246715619840,-719941884071597081856,-30104778409275204746240,87594534177035136768000,-54969453553855104,-24341513974250587392,-2434100859102528638208,-45570092684535882741760,42045376404976865648640,-500727628588800,-396911354286892032,-72070408388027718656,-3353636208229983067392,-22633577581711304589312,-1037386465632,-3042481341588672,-1002316147580237760,-89349010421918161664,-1566748778570813062656,12549347488,-6679652012640,-6184642151639232,-1083167100511720704,-38761408761425410560,37045692,26257034192,-8160259447152,-5340411863057088,-423462395503655424,-205404,58572072,35589780352,-1261140582672,-1728373428443520,189,77412,-66500280,33463137120,791764009632,-189,-31752,-62061552,8044650432,-15516144] pf_exponents: [[4,10],[4,9],[3,10],[4,8],[3,9],[2,10],[4,7],[3,8],[2,9],[1,10],[4,6],[3,7],[2,8],[1,9],[0,10],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 104 names: ["MM(2,1)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/2-1] period: [1,0,10380,2082840,650599740,199351017360,64604751907800,21521865311226000,7344504146141322300,2554251417295177437600,902402381072285526948480,323069439755386947801024000,116983393114017041863305931800,42778571133510096085280115036000,15778519686563079148734019842968400,5864090420558341260788013424659990240,2194104394968268093378902407786410583100,825886334472559538055245589210720865992000,312549738663673902025231998184184745982638000,118855830364526664858266537155431918265191420000,45396432379909451350403024600725150107527440251840] pf_coefficients: [440782427014225920000,55434876987810585600,4407824270142259200000,2647979707813873920,523402555220644377600,15427384945497907200000,61434283359229056,22503037693750801920,1754543406628601625600,22039121350711296000000,686910319469280,453932162535885696,68472301553541296640,2431335488158453017600,10578778248341422080000,2358494313436,4310567499969408,1200647292706785216,87615336421576385280,1144759759762685184000,-15025158231,13970446877908,9326933783114064,1360099869723057216,38998092853972016640,-73409804,-25611038070,20835434390088,8687857063351056,551950456192928640,283125,-94999698,-36660465479,10723556260656,2991789844902240,-194,-213558,102482644,-39129323448,1754019835680,194,39673,78900096,-9114934800,16109760] pf_exponents: [[4,9],[4,8],[3,9],[4,7],[3,8],[2,9],[4,6],[3,7],[2,8],[1,9],[4,5],[3,6],[2,7],[1,8],[0,9],[4,4],[3,5],[2,6],[1,7],[0,8],[4,3],[3,4],[2,5],[1,6],[0,7],[4,2],[3,3],[2,4],[1,5],[0,6],[4,1],[3,2],[2,3],[1,4],[0,5],[4,0],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[0,2]] pf_proven: false id: 105 names: ["V(3,2)"] notes: See also Pieter Belmans's Fanography database [https://www.fanography.info/1-1] period: [1,0,68760,55200000,61054781400,71591389125120,88808827978814400,114426010259814758400,151686694219076253783000,205548259807393951744128000,283451101457440017608973668160,396490910123609475279951570278400,561214819215472579494929058708964800,802346228876645543307425930944814592000,1156916566013354133597168369533787430080000,1680537213538336941366885128023226180637081600,2456935361997541361491564422348903691224766551000,3612476914660010024087525642523156478067831226624000,5338321526084805301945725403486172152779438974811240000,7924274913849111433423918115224497788222174783929470720000,11810593420442546580594089434588688264269226059471033590830400] pf_coefficients: [2778624000,67737600,16671744000,535680,304819200,30564864000,1248,1607040,440294400,16671744000,-1,1872,1621440,203212800,624,550080] pf_exponents: [[3,4],[3,3],[2,4],[3,2],[2,3],[1,4],[3,1],[2,2],[1,3],[0,4],[3,0],[2,1],[1,2],[0,3],[1,1],[0,2]] pf_proven: false