{ "sides": [ [ 13, 20, 21 ], [ 6, 9, 13 ], [ 2, 2, 2 ], [ 1000001, 1000000, 2 ], [ 1000001, 1000000, 1000000 ], [ 3, 4, 5 ] ], "centers": [ { "name": "F(1,X598)", "weights": [ [ "820/4113", "1513/4113", "1780/4113" ], [ "21385/204201", "30160/204201", "152656/204201" ], [ "1/3", "1/3", "1/3" ], [ "111111666668166667555555/250000500002250002000001", "222222000001000001777777/500001000004500004000002", "55555666667166667111115/500001000004500004000002" ], [ "166666888889/500000000000", "333333111111/1000000000000", "333333111111/1000000000000" ], [ "1300/6921", "1825/6921", "3796/6921" ] ] }, { "name": "F(1,X4193)", "weights": [ [ "919/2241", "743/2241", "193/747" ], [ "2300/5131", "5185/10262", "477/10262" ], [ "1/3", "1/3", "1/3" ], [ "333332833333000002/2000000999999000003", "2000000999998000003/4000001999998000006", "1333335333333999999/4000001999998000006" ], [ "166666500000000000/500000166667666667", "333333666667666667/1000000333335333334", "333333666667666667/1000000333335333334" ], [ "3/7", "3/7", "1/7" ] ] }, { "name": "F(1,X10523)", "weights": [ [ "31517/143478", "28082/71739", "7/18" ], [ "357043/1545614", "1130489/3091228", "1246653/3091228" ], [ "1/3", "1/3", "1/3" ], [ "8000017999988000003500047999982/16000055999991999988000089999973", "16000043999967999949000089999973/32000111999983999976000179999946", "32000040000019999994000009/32000111999983999976000179999946" ], [ "1000001000001000001000000000000/3000001000006000001999996999999", "2000000000005000000999996999999/6000002000012000003999993999998", "2000000000005000000999996999999/6000002000012000003999993999998" ], [ "1/4", "19/51", "77/204" ] ] }, { "name": "F(1,X12877)", "weights": [ [ "568682/1701027", "597703/1701027", "178214/567009" ], [ "3928868/10299583", "10330765/20599166", "2410665/20599166" ], [ "1/3", "1/3", "1/3" ], [ "1777783555565777796000013999993/8000044000072000019999978000003", "5333356000014666656000009999997/8000044000072000019999978000003", "888904444491555567999954000013/8000044000072000019999978000003" ], [ "3999995999997000003/11999991999999000001", "3999998000000999999/11999991999999000001", "3999998000000999999/11999991999999000001" ], [ "257/722", "433/1083", "529/2166" ] ] }, { "name": "F(1,X15518)", "weights": [ [ "18863/92907", "35635/92907", "413/999" ], [ "17438559/86666342", "54734877/173332684", "83720689/173332684" ], [ "1/3", "1/3", "1/3" ], [ "128000368000263999972000038000062999973/256000864000336000040000707999694000027", "128000239999879999876000269999919000000/256000864000336000040000707999694000027", "256000192000192000399999712000054/256000864000336000040000707999694000027" ], [ "9000010000002999995999995000002000001/27000000000014999999999989000000000001", "8999995000006000001999996999999000000/27000000000014999999999989000000000001", "8999995000006000001999996999999000000/27000000000014999999999989000000000001" ], [ "29/132", "227/693", "1255/2772" ] ] }, { "name": "F(1,X19678)", "weights": [ [ "746491867/2825226417", "946282843/2825226417", "1132451707/2825226417" ], [ "6990561/34104739", "4819041/34104739", "22295137/34104739" ], [ "1/3", "1/3", "1/3" ], [ "1000005500026500061000079000031499998500003/3000010500037500070500124500130500130500063", "1000001500002500008000043000057000033000012/3000010500037500070500124500130500130500063", "1000003500008500001500002500042000099000048/3000010500037500070500124500130500130500063" ], [ "4000014000029000033000021000007000001/12000028000038000032000018000006000001", "4000007000004499999499998499999500000/12000028000038000032000018000006000001", "4000007000004499999499998499999500000/12000028000038000032000018000006000001" ], [ "4571/19041", "4571/19041", "9899/19041" ] ] }, { "name": "F(1,X27277)", "weights": [ [ "7321763/18705201", "6209795/18705201", "5173643/18705201" ], [ "5510833/13411983", "6026803/13411983", "1874347/13411983" ], [ "1/3", "1/3", "1/3" ], [ "533339200017200013333327000005100024900009/4800038400100400079599960599964900053100027", "2666684266705733358133316599991900021300009/4800038400100400079599960599964900053100027", "1600014933377466708133316999967900006900009/4800038400100400079599960599964900053100027" ], [ "6999997499997500007500005500001/21000010500022500036500018500003", "7000006500012500014500006500001/21000010500022500036500018500003", "7000006500012500014500006500001/21000010500022500036500018500003" ], [ "47/117", "47/117", "23/117" ] ] }, { "name": "F(1,X27328)", "weights": [ [ "3672715/14278233", "4784683/14278233", "5820835/14278233" ], [ "5814329/23684019", "4782389/23684019", "13087301/23684019" ], [ "1/3", "1/3", "1/3" ], [ "2666684800042800031866646999973100009300009/4800033600079600055999961399969700049500027", "533339733354266687066657399986300012900009/4800033600079600055999961399969700049500027", "1600009066682533337066657000010300027300009/4800033600079600055999961399969700049500027" ], [ "5000008500018500016500006500001/15000007500025500035500017500003", "4999999500003500009500005500001/15000007500025500035500017500003", "4999999500003500009500005500001/15000007500025500035500017500003" ], [ "23/93", "23/93", "47/93" ] ] }, { "name": "F(1,X37828)", "weights": [ [ "841/2484", "379/1242", "295/828" ], [ "1009/3234", "1319/6468", "3131/6468" ], [ "1/3", "1/3", "1/3" ], [ "6000006999995000003/16000003999988000027", "2000004999997000009/16000003999988000027", "7999991999996000015/16000003999988000027" ], [ "1000001000005000001/3000001000009000003", "1000000000002000001/3000001000009000003", "1000000000002000001/3000001000009000003" ], [ "5/16", "1/4", "7/16" ] ] }, { "name": "F(1,X39141)", "weights": [ [ "82040953/226015275", "13526789/45203055", "76340377/226015275" ], [ "1981575/7171021", "1445355/7171021", "288007/551617" ], [ "1/3", "1/3", "1/3" ], [ "333335000003500002000005500004666669/1000003000005500006000012500010000025", "66666733333366667066668433334933334/200000600001100001200002500002000005", "333334333335166668666664833330666686/1000003000005500006000012500010000025" ], [ "500001000003166672000004666668666667/1500003000006833341333338666668666667", "500001000001833334666667000000000000/1500003000006833341333338666668666667", "500001000001833334666667000000000000/1500003000006833341333338666668666667" ], [ "9433/28875", "7417/28875", "481/1155" ] ] }, { "name": "F(1,X59544)", "weights": [ [ "7237/23292", "3685/11646", "965/2588" ], [ "643/2280", "791/4560", "2483/4560" ], [ "1/3", "1/3", "1/3" ], [ "1000004000001500001/4000001999996000021", "1999998000001000015/8000003999992000042", "3999997999988000025/8000003999992000042" ], [ "1000002000005000002/3000003000007000003", "2000001000002000001/6000006000014000006", "2000001000002000001/6000006000014000006" ], [ "25/88", "8/33", "125/264" ] ] }, { "name": "F(1,X59572)", "weights": [ [ "137/360", "53/180", "13/40" ], [ "167/502", "217/1004", "453/1004" ], [ "1/3", "1/3", "1/3" ], [ "5999998000001/15999986000015", "2000002000003/15999986000015", "7999986000011/15999986000015" ], [ "1000000000003/3000000000005", "1000000000001/3000000000005", "1000000000001/3000000000005" ], [ "7/20", "4/15", "23/60" ] ] }, { "name": "F(1,X59639)", "weights": [ [ "46751/153684", "24695/76842", "19181/51228" ], [ "7067/24332", "857/4424", "25103/48664" ], [ "1/3", "1/3", "1/3" ], [ "1000003500004000003250003/4000003999995000015000027", "4000001999990000021000045/16000015999980000060000108", "7999999999974000026000051/16000015999980000060000108" ], [ "2000005000013000007000001/6000008000020000012000002", "4000003000007000005000001/12000016000040000024000004", "4000003000007000005000001/12000016000040000024000004" ], [ "9/32", "1/4", "15/32" ] ] }, { "name": "F(1,X66632)", "weights": [ [ "4213/20214", "3874/10107", "917/2246" ], [ "349/1762", "1127/3524", "1699/3524" ], [ "1/3", "1/3", "1/3" ], [ "83333500000041667/166667083333250001", "666667333333000001/1333336666666000008", "70175403509/70175614035052632" ], [ "333334000000666667/1000001000001333334", "666667000000666667/2000002000002666668", "666667000000666667/2000002000002666668" ], [ "17/76", "1/3", "101/228" ] ] }, { "name": "F(1/7,X345)", "weights": [ [ "5450/13587", "4127/13587", "4010/13587" ], [ "112/285", "37/114", "161/570" ], [ "1/3", "1/3", "1/3" ], [ "8000003999990000045/28000013999972000147", "8000003999998000057/28000013999972000147", "12000005999984000045/28000013999972000147" ], [ "7000003000015000007/21000021000049000021", "7000009000017000007/21000021000049000021", "7000009000017000007/21000021000049000021" ], [ "30/77", "25/77", "2/7" ] ] }, { "name": "F(2/3,X58)", "weights": [ [ "68980/336393", "127577/336393", "46612/112131" ], [ "21149/121086", "67003/242172", "132871/242172" ], [ "1/3", "1/3", "1/3" ], [ "5333360666713000037000015/12000048000075000099000081", "5333348666679000011000009/12000048000075000099000081", "1333338666683000051000057/12000048000075000099000081" ], [ "18000035000028000007/54000045000036000009", "18000005000004000001/54000045000036000009", "18000005000004000001/54000045000036000009" ], [ "44/207", "65/207", "98/207" ] ] }, { "name": "F(-1/2,X1476)", "weights": [ [ "105109/252936", "39649/126468", "22843/84312" ], [ "298516/639107", "571175/1278214", "110007/1278214" ], [ "1/3", "1/3", "1/3" ], [ "1142858571431428578071429428574/9142872000012571443142857142861", "6857158285721142869571431142861/18285744000025142886285714285722", "9142868571441142860571424285713/18285744000025142886285714285722" ], [ "1999998000000000000/5999999000002000001", "4000001000002000001/11999998000004000002", "4000001000002000001/11999998000004000002" ], [ "49/116", "11/29", "23/116" ] ] }, { "name": "F(-2/7,X2093)", "weights": [ [ "1364/3213", "997/3213", "284/1071" ], [ "7044/15239", "13845/30478", "2545/30478" ], [ "1/3", "1/3", "1/3" ], [ "16000008000034000069/112000196000084000063", "48000072000054000027/112000196000084000063", "48000115999995999967/112000196000084000063" ], [ "2999998142855857143/9000003000003000001", "3000002428573571429/9000003000003000001", "3000002428573571429/9000003000003000001" ], [ "3/7", "8/21", "4/21" ] ] }, { "name": "F(-1/3,X2255)", "weights": [ [ "852419413/2053785330", "62996068/205378533", "571405237/2053785330" ], [ "373802366/872142921", "664635487/1744285842", "1964767/10321218" ], [ "1/3", "1/3", "1/3" ], [ "15238149333414095371809801524212428845428637/54857403429133715108572416001043143533428745", "3047637180998704833904848990568657202971444/10971480685826743021714483200208628706685749", "24381068190726095567238369523987428673142888/54857403429133715108572416001043143533428745" ], [ "63000017000042000030000007000001/189000207000324000216000063000009", "63000095000141000093000028000004/189000207000324000216000063000009", "63000095000141000093000028000004/189000207000324000216000063000009" ], [ "3077/7470", "1324/3735", "349/1494" ] ] }, { "name": "F(1,X3501)", "weights": [ [ "3601/11624", "1865/5812", "4293/11624" ], [ "582/2153", "711/4306", "2431/4306" ], [ "1/3", "1/3", "1/3" ], [ "1500003000000499999/4000000500006500001", "500000500003000000/4000000500006500001", "1999997000003000002/4000000500006500001" ], [ "500000500001/1500000500001", "500000000000/1500000500001", "500000000000/1500000500001" ], [ "117/406", "52/203", "185/406" ] ] }, { "name": "F(1,X3794)", "weights": [ [ "78727/186885", "151987/485901", "71791/269945" ], [ "50540/112437", "34925/74958", "1463/17298" ], [ "1/3", "1/3", "1/3" ], [ "55555638888805556166667/333334166667500001500000", "333334166668000002500001/666669000003333338000003", "111111722223222222777777833333/333334500001666669000001500000" ], [ "666666333333/2000001000001", "666667333334/2000001000001", "666667333334/2000001000001" ], [ "49/115", "133/345", "13/69" ] ] }, { "name": "F(8/5,X3825)", "weights": [ [ "1684/4995", "1787/4995", "508/1665" ], [ "3756/9485", "1947/3794", "1723/18970" ], [ "1/3", "1/3", "1/3" ], [ "7999996000000000039/40000040000000000045", "24000011999976000027/40000040000000000045", "8000032000023999979/40000040000000000045" ], [ "4999998999996999999/15000005000015000005", "5000003000009000003/15000005000015000005", "5000003000009000003/15000005000015000005" ], [ "11/30", "19/45", "19/90" ] ] }, { "name": "F(-1/2,X3951)", "weights": [ [ "2485/12042", "2248/6021", "1687/4014" ], [ "2153/15862", "605/2884", "20763/31724" ], [ "1/3", "1/3", "1/3" ], [ "16000041000014499985/24000072000047999991", "16000034000002999991/48000144000095999982", "28000064000021/48000144000095999982" ], [ "7000010000003000000/21000006999996999999", "13999996999993999999/42000013999993999998", "13999996999993999999/42000013999993999998" ], [ "7/34", "5/17", "1/2" ] ] }, { "name": "F(1/4,X4012)", "weights": [ [ "382/933", "284/933", "89/311" ], [ "17419/43052", "29651/86104", "21615/86104" ], [ "1/3", "1/3", "1/3" ], [ "9999999499993000008/39999995999974000027", "20000024999960000027/79999991999948000054", "39999968000002000011/79999991999948000054" ], [ "999999000002000000/2999999000005000001", "2000000000003000001/5999998000010000002", "2000000000003000001/5999998000010000002" ], [ "121/304", "77/228", "241/912" ] ] }, { "name": "F(-1/2,X4308)", "weights": [ [ "2011/4752", "739/2376", "421/1584" ], [ "956/2037", "1825/4074", "337/4074" ], [ "1/3", "1/3", "1/3" ], [ "4000004000003000021/32000044000012000027", "12000023999997000018/32000044000012000027", "16000016000011999988/32000044000012000027" ], [ "4999996999998999999/15000005000009000003", "5000004000005000002/15000005000009000003", "5000004000005000002/15000005000009000003" ], [ "3/7", "8/21", "4/21" ] ] }, { "name": "F(-1/2,X4321)", "weights": [ [ "18223/44064", "6871/22032", "4033/14688" ], [ "53138/115381", "100495/230762", "23991/230762" ], [ "1/3", "1/3", "1/3" ], [ "16000032000031000052499997/128000208000068000059999991", "96000192000030000086999991/256000416000136000119999982", "128000160000043999927999997/256000416000136000119999982" ], [ "8999992999998999999000000/27000000000005999999999999", "18000007000007000000999999/54000000000011999999999998", "18000007000007000000999999/54000000000011999999999998" ], [ "147/352", "49/132", "223/1056" ] ] }, { "name": "F(1,X4342)", "weights": [ [ "145/459", "167/459", "49/153" ], [ "778/2177", "2285/4354", "513/4354" ], [ "1/3", "1/3", "1/3" ], [ "3999999000005500015/16000028000012000009", "24000005999997000009/32000056000024000018", "52000015999979/32000056000024000018" ], [ "2999999999997000000/9000003000003000001", "6000003000006000001/18000006000006000002", "6000003000006000001/18000006000006000002" ], [ "11/32", "5/12", "23/96" ] ] }, { "name": "F(-2,X4438)", "weights": [ [ "3121/11646", "2194/5823", "1379/3882" ], [ "319/1140", "983/2280", "659/2280" ], [ "1/3", "1/3", "1/3" ], [ "1999997999998000011/4000001999996000021", "2000000000000000003/4000001999996000021", "3999998000007/4000001999996000021" ], [ "1000001000001000001/3000003000007000003", "1000001000003000001/3000003000007000003", "1000001000003000001/3000003000007000003" ], [ "13/44", "13/33", "41/132" ] ] }, { "name": "F(2/3,X4857)", "weights": [ [ "3466/11259", "4127/11259", "1222/3753" ], [ "20564/56259", "57625/112518", "13765/112518" ], [ "1/3", "1/3", "1/3" ], [ "8000002000006000033/36000054000018000027", "24000013999978000021/36000054000018000027", "4000038000033999973/36000054000018000027" ], [ "666666740740185185/2000000666667666667", "666666962963740741/2000000666667666667", "666666962963740741/2000000666667666667" ], [ "67/198", "41/99", "49/198" ] ] }, { "name": "F(2/5,X4911)", "weights": [ [ "533/1990", "4486/12935", "9969/25870" ], [ "8517/43495", "1641/8699", "26773/43495" ], [ "1/3", "1/3", "1/3" ], [ "24000033000052999963/40000065000124999965", "8000017000044999979/40000065000124999965", "8000015000027000023/40000065000124999965" ], [ "10000010000005000001/30000009999994999995", "9999999999994999997/30000009999994999995", "9999999999994999997/30000009999994999995" ], [ "447/1735", "497/1735", "791/1735" ] ] }, { "name": "F(1,X5255)", "weights": [ [ "45253/224262", "42370/112131", "31423/74754" ], [ "1080/6727", "3429/13454", "7865/13454" ], [ "1/3", "1/3", "1/3" ], [ "2000009000017000013000003/4000016000025000033000027", "2000003000006000006000000/4000016000025000033000027", "4000002000014000024/4000016000025000033000027" ], [ "4000010000011000006000001/12000016000013000006000001", "4000003000001000000000000/12000016000013000006000001", "4000003000001000000000000/12000016000013000006000001" ], [ "19/92", "7/23", "45/92" ] ] }, { "name": "F(-1/4,X5310)", "weights": [ [ "31267/94104", "291835/893988", "203411/595992" ], [ "181439/603156", "289519/1206312", "553915/1206312" ], [ "1/3", "1/3", "1/3" ], [ "1333338200008466681500008399991/3200011200020800041600028799982", "1066673200013733362600023999985/6400022400041600083200057599964", "2666672800010933357600016799997/6400022400041600083200057599964" ], [ "2666669666668111110666666111111/8000008000000666661999996666666", "5333338333332555551333330555555/16000016000001333323999993333332", "5333338333332555551333330555555/16000016000001333323999993333332" ], [ "31/96", "11/36", "107/288" ] ] }, { "name": "F(-1/2,X5741)", "weights": [ [ "2557/12198", "122/321", "5005/12198" ], [ "523/2815", "838/2815", "1454/2815" ], [ "1/3", "1/3", "1/3" ], [ "1000005500003000003/2000011000005000012", "2000006999998000003/4000022000010000024", "4000006000015/4000022000010000024" ], [ "2000004000003000001/6000006000004000002", "4000002000001000001/12000012000008000004", "4000002000001000001/12000012000008000004" ], [ "15/68", "11/34", "31/68" ] ] }, { "name": "F(-1/2,X6205)", "weights": [ [ "7216/17071", "5338/17071", "4517/17071" ], [ "8714/18961", "8729/18961", "1518/18961" ], [ "1/3", "1/3", "1/3" ], [ "1166665500002833337/6666673000006333337", "5666672000005333337/13333346000012666674", "5333343000001666663/13333346000012666674" ], [ "333333111111000000/1000000333333888889", "666667222222888889/2000000666667777778", "666667222222888889/2000000666667777778" ], [ "1027/2396", "463/1198", "443/2396" ] ] }, { "name": "F(3/7,X7748)", "weights": [ [ "2569409/8043882", "1477012/4021941", "2520449/8043882" ], [ "20336/54627", "56467/109254", "12115/109254" ], [ "1/3", "1/3", "1/3" ], [ "5666665999981000017333413/14000028000042000028000119", "5666690000016999969333383/14000028000042000028000119", "2666672000044000041333323/14000028000042000028000119" ], [ "111111195767132275026455/333333777778444444888889", "111111291005656084931217/333333777778444444888889", "111111291005656084931217/333333777778444444888889" ], [ "7169/20202", "4372/10101", "4289/20202" ] ] }, { "name": "F(-4/3,X7872)", "weights": [ [ "1290245/4018914", "625372/2009457", "1477925/4018914" ], [ "15316/57987", "16007/115974", "69335/115974" ], [ "1/3", "1/3", "1/3" ], [ "6666704000100000017333315/24000048000108000084000177", "6666656000028000097333367/24000048000108000084000177", "10666687999979999969333495/24000048000108000084000177" ], [ "15000030666726000044000011/45000060000066000036000009", "15000014666669999995999999/45000060000066000036000009", "15000014666669999995999999/45000060000066000036000009" ], [ "2885/9954", "1180/4977", "4709/9954" ] ] }, { "name": "F(5/11,X9597)", "weights": [ [ "143793/473462", "88938/236731", "151793/473462" ], [ "3752/10621", "121739/233662", "29379/233662" ], [ "1/3", "1/3", "1/3" ], [ "3599995999989600011200033/8800000000008800017600055", "3600004000005599991200019/8800000000008800017600055", "1600000000013600015200003/8800000000008800017600055" ], [ "1000000727272363635272727/3000004000008000004000001", "1000001636367818184363637/3000004000008000004000001", "1000001636367818184363637/3000004000008000004000001" ], [ "401/1166", "258/583", "249/1166" ] ] }, { "name": "F(-3/2,X10000)", "weights": [ [ "638684731457/2221151296938", "414396234292/1110575648469", "753674096897/2221151296938" ], [ "21165136/60165777", "8539031/17190222", "18228065/120331554" ], [ "1/3", "1/3", "1/3" ], [ "44973629629777778211641685187507939029103470904/111111555557047621968259936515523818492069079371", "89947640213269843661379084659587305105819132281/222223111114095243936519873031047636984138158742", "42328211641269843851857417996444453820112084653/222223111114095243936519873031047636984138158742" ], [ "111111185185123456691358/333333555555814814962963", "222222370370691358271605/666667111111629629925926", "222222370370691358271605/666667111111629629925926" ], [ "621431/1934214", "397228/967107", "518327/1934214" ] ] }, { "name": "F(7/6,X10000)", "weights": [ [ "351207006197/951921984402", "143918880244/475960992201", "312877217717/951921984402" ], [ "8225152/25785333", "1519427/7367238", "24484373/51570666" ], [ "1/3", "1/3", "1/3" ], [ "92593185187492067671964843923412708473548042328/333334666671142865904779809546571455476207238113", "185185481482984131788373021182825420502667640219/666669333342285731809559619093142910952414476226", "296297481484317464677256910063492073502650751351/666669333342285731809559619093142910952414476226" ], [ "3000002000005444448888890/9000006000007000004000001", "6000004000001555555111111/18000012000014000008000002", "6000004000001555555111111/18000012000014000008000002" ], [ "1988597/5802642", "792436/2901321", "2229173/5802642" ] ] }, { "name": "F(-1/2,X9445)", "weights": [ [ "324749/819564", "126821/409782", "80391/273188" ], [ "8891379/21895772", "15167291/43791544", "10841495/43791544" ], [ "1/3", "1/3", "1/3" ], [ "61750023250017749982250005999999/247000104499963999975500024999994", "61750113499951249995000011499997/247000104499963999975500024999994", "61749983874997499999125003749999/123500052249981999987750012499997" ], [ "1999998000001/5999997000001", "1999999500000/5999997000001", "1999999500000/5999997000001" ], [ "37631/96408", "12208/36153", "78667/289224" ] ] }, { "name": "F(-1/2,X9446)", "weights": [ [ "397/1016", "161/508", "297/1016" ], [ "57176/128797", "107605/257594", "35637/257594" ], [ "1/3", "1/3", "1/3" ], [ "13000023999977500007/103999984999973000011", "77999993999979000009/207999969999946000022", "103999928000011999999/207999969999946000022" ], [ "1999997000001000000/5999994000001000001", "3999997000000000001/11999988000002000002", "3999997000000000001/11999988000002000002" ], [ "909/2302", "412/1151", "569/2302" ] ] } ] }