/* Data is in the following format Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0. [polynomial, degree, t-number of Galois group, signature [r,s], discriminant, list of ramifying primes, integral basis as polynomials in a, 1 if it is a cm field otherwise 0, class number, class group structure, 1 if grh was assumed and 0 if not, fundamental units, regulator, list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial] ] */ [x^36 - x^35 + 35*x^34 - 31*x^33 + 556*x^32 - 432*x^31 + 5314*x^30 - 3586*x^29 + 34162*x^28 - 19818*x^27 + 156466*x^26 - 77194*x^25 + 527433*x^24 - 218657*x^23 + 1332275*x^22 - 457647*x^21 + 2542252*x^20 - 711664*x^19 + 3665766*x^18 - 809761*x^17 + 3956632*x^16 - 539957*x^15 + 3063059*x^14 + 517817*x^13 + 1345047*x^12 + 2800770*x^11 - 276502*x^10 + 5237843*x^9 - 1026513*x^8 + 5476374*x^7 - 560238*x^6 + 2102034*x^5 + 267795*x^4 + 3047715*x^3 - 4108065*x^2 - 5418330*x + 21850951, 36, 2, [0, 18], 44387950739803436916061690678602018428037077267652774810791015625, [3, 5, 19], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, 1/4181*a^19 + 19/4181*a^17 + 152/4181*a^15 + 665/4181*a^13 + 1729/4181*a^11 - 1464/4181*a^9 - 1673/4181*a^7 + 1254/4181*a^5 + 285/4181*a^3 + 19/4181*a - 1597/4181, 1/4181*a^20 + 19/4181*a^18 + 152/4181*a^16 + 665/4181*a^14 + 1729/4181*a^12 - 1464/4181*a^10 - 1673/4181*a^8 + 1254/4181*a^6 + 285/4181*a^4 + 19/4181*a^2 - 1597/4181*a, 1/4181*a^21 - 209/4181*a^17 + 1958/4181*a^15 + 1637/4181*a^13 - 867/4181*a^11 + 1057/4181*a^9 - 11/113*a^7 + 1545/4181*a^5 - 1215/4181*a^3 - 1597/4181*a^2 - 361/4181*a + 1076/4181, 1/4181*a^22 - 209/4181*a^18 + 1958/4181*a^16 + 1637/4181*a^14 - 867/4181*a^12 + 1057/4181*a^10 - 11/113*a^8 + 1545/4181*a^6 - 1215/4181*a^4 - 1597/4181*a^3 - 361/4181*a^2 + 1076/4181*a, 1/4181*a^23 + 1748/4181*a^17 - 43/4181*a^15 + 145/4181*a^13 - 1329/4181*a^11 - 1170/4181*a^9 - 1089/4181*a^7 + 1649/4181*a^5 - 1597/4181*a^4 + 670/4181*a^3 + 1076/4181*a^2 - 210/4181*a + 707/4181, 1/4181*a^24 + 1748/4181*a^18 - 43/4181*a^16 + 145/4181*a^14 - 1329/4181*a^12 - 1170/4181*a^10 - 1089/4181*a^8 + 1649/4181*a^6 - 1597/4181*a^5 + 670/4181*a^4 + 1076/4181*a^3 - 210/4181*a^2 + 707/4181*a, 1/4181*a^25 + 193/4181*a^17 + 2033/4181*a^15 - 1431/4181*a^13 - 599/4181*a^11 - 789/4181*a^9 - 647/4181*a^7 - 1597/4181*a^6 - 478/4181*a^5 + 1076/4181*a^4 - 23/113*a^3 + 707/4181*a^2 + 236/4181*a - 1352/4181, 1/4181*a^26 + 193/4181*a^18 + 2033/4181*a^16 - 1431/4181*a^14 - 599/4181*a^12 - 789/4181*a^10 - 647/4181*a^8 - 1597/4181*a^7 - 478/4181*a^6 + 1076/4181*a^5 - 23/113*a^4 + 707/4181*a^3 + 236/4181*a^2 - 1352/4181*a, 1/8362*a^27 - 1/8362*a^25 - 1/8362*a^24 + 2433/8362*a^18 + 1177/4181*a^17 - 2069/4181*a^16 - 3533/8362*a^15 - 145/8362*a^14 - 2083/8362*a^13 + 1329/8362*a^12 + 593/8362*a^11 - 3011/8362*a^10 + 2567/8362*a^9 + 3673/8362*a^8 + 1121/8362*a^7 - 3157/8362*a^6 - 2481/8362*a^5 - 1039/8362*a^4 - 641/8362*a^3 + 1166/4181*a^2 - 429/8362*a + 179/8362, 1/365435296162*a^28 + 10307271/365435296162*a^27 + 33400433/365435296162*a^26 - 18960343/182717648081*a^25 - 8115083/365435296162*a^24 + 12658451/182717648081*a^23 + 4584315/182717648081*a^22 - 10507422/182717648081*a^21 - 380437/182717648081*a^20 - 28367813/365435296162*a^19 + 130291055613/365435296162*a^18 + 10984283954/182717648081*a^17 - 133758775925/365435296162*a^16 + 29380810762/182717648081*a^15 - 43422360839/182717648081*a^14 + 17821937280/182717648081*a^13 - 90949798717/182717648081*a^12 - 53150887485/182717648081*a^11 - 72220098319/182717648081*a^10 - 51564015211/182717648081*a^9 + 74081372186/182717648081*a^8 - 15787791250/182717648081*a^7 - 49857197532/182717648081*a^6 + 53995906080/182717648081*a^5 + 41175341015/182717648081*a^4 - 166833076499/365435296162*a^3 + 138685955917/365435296162*a^2 + 15868408690/182717648081*a - 145352519837/365435296162, 1/365435296162*a^29 - 15097/365435296162*a^27 - 33398201/365435296162*a^26 + 16514888/182717648081*a^25 + 19509460/182717648081*a^24 - 888059/182717648081*a^23 + 18856443/182717648081*a^22 + 7992507/182717648081*a^21 + 25204987/365435296162*a^20 - 13748555/182717648081*a^19 + 53916655076/182717648081*a^18 - 35770113307/365435296162*a^17 + 110511607349/365435296162*a^16 + 80941420161/365435296162*a^15 - 89676440103/365435296162*a^14 - 25581325409/365435296162*a^13 - 75556967433/365435296162*a^12 + 64132960559/365435296162*a^11 + 16725324389/365435296162*a^10 + 18265361069/365435296162*a^9 - 73958534237/365435296162*a^8 - 108409572551/365435296162*a^7 + 168735927177/365435296162*a^6 - 87646735033/365435296162*a^5 - 63292603047/182717648081*a^4 + 54746252253/365435296162*a^3 - 127179139099/365435296162*a^2 + 74666763508/182717648081*a + 88487993856/182717648081, 1/365435296162*a^30 - 1647737/182717648081*a^27 - 40570763/365435296162*a^26 - 568626/4938314813*a^25 + 24946235/365435296162*a^24 + 15078117/182717648081*a^23 - 6415122/182717648081*a^22 + 39906379/365435296162*a^21 + 309324/4938314813*a^20 - 357421/9876629626*a^19 + 21287939385/182717648081*a^18 - 84424503967/365435296162*a^17 + 47531490237/182717648081*a^16 - 150863592917/365435296162*a^15 + 165333847857/365435296162*a^14 - 154487393441/365435296162*a^13 - 171947611583/365435296162*a^12 + 30104032187/365435296162*a^11 - 95063750155/365435296162*a^10 + 98364104571/365435296162*a^9 - 125342615079/365435296162*a^8 + 154410445663/365435296162*a^7 - 142475139751/365435296162*a^6 - 50223399394/182717648081*a^5 + 150850670983/365435296162*a^4 - 18072717126/182717648081*a^3 + 66269187435/365435296162*a^2 + 29076288220/182717648081*a + 87185205827/365435296162, 1/365435296162*a^31 + 468441/365435296162*a^27 - 6755371/182717648081*a^26 + 24926195/365435296162*a^25 + 6911817/182717648081*a^24 - 16161997/182717648081*a^23 - 35645391/365435296162*a^22 + 14482904/182717648081*a^21 - 13437077/365435296162*a^20 - 10704003/182717648081*a^19 - 167183694949/365435296162*a^18 - 31998829735/182717648081*a^17 + 22246833781/365435296162*a^16 + 155408943639/365435296162*a^15 - 102292189961/365435296162*a^14 - 77869694539/365435296162*a^13 + 31014448503/365435296162*a^12 - 80882893211/365435296162*a^11 - 129692031043/365435296162*a^10 + 176968595605/365435296162*a^9 + 88742309503/365435296162*a^8 - 145943704947/365435296162*a^7 + 51003789003/182717648081*a^6 + 164158551963/365435296162*a^5 - 29873012990/182717648081*a^4 - 24574663531/365435296162*a^3 - 2185891922/4938314813*a^2 - 127868726861/365435296162*a + 11927423957/182717648081, 1/365435296162*a^32 - 27437/9876629626*a^27 - 20058270/182717648081*a^26 + 9395444/182717648081*a^25 + 39115025/365435296162*a^24 - 1033973/9876629626*a^23 + 1093228/182717648081*a^22 - 1714331/365435296162*a^21 - 14767564/182717648081*a^20 - 16390333/182717648081*a^19 - 135259479445/365435296162*a^18 - 51778336899/365435296162*a^17 - 22060349955/182717648081*a^16 - 166169740651/365435296162*a^15 + 16783991211/365435296162*a^14 + 9382028003/365435296162*a^13 - 4576523801/365435296162*a^12 - 2404352969/9876629626*a^11 - 91626960519/365435296162*a^10 + 106430131489/365435296162*a^9 - 113892967313/365435296162*a^8 - 9997009894/182717648081*a^7 - 82141368387/365435296162*a^6 - 56556430964/182717648081*a^5 + 116421954435/365435296162*a^4 + 93146005483/365435296162*a^3 + 20124620988/182717648081*a^2 + 11311359643/182717648081*a + 23644161323/365435296162, 1/365435296162*a^33 - 3990536/182717648081*a^27 + 21626393/365435296162*a^26 - 20565668/182717648081*a^25 - 17295419/365435296162*a^24 + 102223/1616970337*a^23 - 11044643/365435296162*a^22 - 20153901/182717648081*a^21 + 13161852/182717648081*a^20 - 7927490/182717648081*a^19 + 70318349763/365435296162*a^18 + 52494685136/182717648081*a^17 + 58467733199/182717648081*a^16 + 35573049809/182717648081*a^15 - 76240293942/182717648081*a^14 + 54226677928/182717648081*a^13 + 80874868200/182717648081*a^12 - 76506392377/182717648081*a^11 + 13575260029/182717648081*a^10 + 74233031043/182717648081*a^9 - 56108378907/365435296162*a^8 + 58107835816/182717648081*a^7 + 98724277311/365435296162*a^6 - 55612683393/182717648081*a^5 - 80229680599/182717648081*a^4 + 13946186581/182717648081*a^3 - 163211952731/365435296162*a^2 - 58868345731/182717648081*a + 77136253202/182717648081, 1/365435296162*a^34 - 5041282/182717648081*a^27 + 12212639/182717648081*a^26 + 13650383/182717648081*a^25 + 9011541/365435296162*a^24 + 5149395/365435296162*a^23 + 15693668/182717648081*a^22 + 17214289/182717648081*a^21 + 17661724/182717648081*a^20 - 35273703/365435296162*a^19 - 115962727739/365435296162*a^18 + 43528677389/182717648081*a^17 - 42466641681/182717648081*a^16 + 70861615145/365435296162*a^15 - 118947655865/365435296162*a^14 - 140189473137/365435296162*a^13 - 73946875991/365435296162*a^12 + 23809824887/365435296162*a^11 - 1460546197/3233940674*a^10 - 41403744175/182717648081*a^9 + 163761817011/365435296162*a^8 + 73274338184/182717648081*a^7 + 7269138549/365435296162*a^6 - 76067201611/365435296162*a^5 - 103003026713/365435296162*a^4 + 17373816518/182717648081*a^3 + 14280520541/182717648081*a^2 - 137694741245/365435296162*a + 19570887/3233940674, 1/365435296162*a^35 + 5771754/182717648081*a^27 - 5622956/182717648081*a^26 - 28903197/365435296162*a^25 - 41819969/365435296162*a^24 + 4247572/182717648081*a^23 + 1390091/182717648081*a^22 + 17958807/182717648081*a^21 + 10434505/365435296162*a^20 + 21073585/365435296162*a^19 + 36464091160/182717648081*a^18 + 72012319006/182717648081*a^17 + 1771711269/9876629626*a^16 + 80063210587/365435296162*a^15 - 22448524915/365435296162*a^14 - 1808732873/365435296162*a^13 - 165197095637/365435296162*a^12 + 2399779383/9876629626*a^11 + 59949620957/182717648081*a^10 - 32700102941/365435296162*a^9 - 54142927042/182717648081*a^8 + 145131403053/365435296162*a^7 - 98891290379/365435296162*a^6 + 9219638105/365435296162*a^5 + 26718983736/182717648081*a^4 + 18673658224/182717648081*a^3 - 132545056761/365435296162*a^2 + 105945550113/365435296162*a - 17207018329/182717648081], 1, 247608, [247608], 1, [ (37396)/(182717648081)*a^(32) + (1196672)/(182717648081)*a^(30) + (17351744)/(182717648081)*a^(28) + (150780672)/(182717648081)*a^(26) - (4)/(182717648081)*a^(25) + (875066400)/(182717648081)*a^(24) - (100)/(182717648081)*a^(23) + (3578049280)/(182717648081)*a^(22) - (1100)/(182717648081)*a^(21) + (10596530560)/(182717648081)*a^(20) - (7000)/(182717648081)*a^(19) + (23009609216)/(182717648081)*a^(18) - (28500)/(182717648081)*a^(17) + (36671564688)/(182717648081)*a^(16) - (77520)/(182717648081)*a^(15) + (42517756160)/(182717648081)*a^(14) + (349472408)/(182717648081)*a^(13) + (35173780096)/(182717648081)*a^(12) + (4544820904)/(182717648081)*a^(11) + (20099302912)/(182717648081)*a^(10) + (22724845520)/(182717648081)*a^(9) + (7537238592)/(182717648081)*a^(8) + (54539900948)/(182717648081)*a^(7) - (8473695317)/(182717648081)*a^(6) + (63629947836)/(182717648081)*a^(5) - (60891823358)/(182717648081)*a^(4) + (31814981328)/(182717648081)*a^(3) - (91633313021)/(182717648081)*a^(2) + (4544997604)/(182717648081)*a - (20365011074)/(182717648081) , (158933)/(182717648081)*a^(29) + (17)/(182717648081)*a^(28) + (4609057)/(182717648081)*a^(27) + (476)/(182717648081)*a^(26) + (59917741)/(182717648081)*a^(25) + (5950)/(182717648081)*a^(24) + (460905700)/(182717648081)*a^(23) + (43792)/(182717648081)*a^(22) + (2332182842)/(182717648081)*a^(21) + (210749)/(182717648081)*a^(20) + (8162639947)/(182717648081)*a^(19) + (696388)/(182717648081)*a^(18) + (20229151173)/(182717648081)*a^(17) + (1614354)/(182717648081)*a^(16) + (35729409864)/(182717648081)*a^(15) + (2635680)/(182717648081)*a^(14) + (44661762330)/(182717648081)*a^(13) + (2998086)/(182717648081)*a^(12) + (38706860686)/(182717648081)*a^(11) + (1488178946)/(182717648081)*a^(10) + (20005630579)/(182717648081)*a^(9) + (14859803496)/(182717648081)*a^(8) - (13483628219)/(182717648081)*a^(7) + (52005608718)/(182717648081)*a^(6) - (63219626237)/(182717648081)*a^(5) + (74293285845)/(182717648081)*a^(4) - (71946819655)/(182717648081)*a^(3) + (37146619182)/(182717648081)*a^(2) - (21627831938)/(182717648081)*a + (2971729302)/(182717648081) , (72)/(182717648081)*a^(31) + (2232)/(182717648081)*a^(29) + (31248)/(182717648081)*a^(27) - (673128)/(182717648081)*a^(26) + (261144)/(182717648081)*a^(25) - (17501328)/(182717648081)*a^(24) + (1450800)/(182717648081)*a^(23) - (201265272)/(182717648081)*a^(22) + (5646960)/(182717648081)*a^(21) - (1347602256)/(182717648081)*a^(20) + (15811488)/(182717648081)*a^(19) - (5819191560)/(182717648081)*a^(18) + (32187672)/(182717648081)*a^(17) - (16958786832)/(182717648081)*a^(16) + (47581776)/(182717648081)*a^(15) - (33917573664)/(182717648081)*a^(14) + (50465520)/(182717648081)*a^(13) - (45845397143)/(182717648081)*a^(12) + (37488672)/(182717648081)*a^(11) - (35728231812)/(182717648081)*a^(10) + (18744336)/(182717648081)*a^(9) + (5651835462)/(182717648081)*a^(8) - (6287154480)/(182717648081)*a^(7) + (54870553192)/(182717648081)*a^(6) - (44050453776)/(182717648081)*a^(5) + (58060474017)/(182717648081)*a^(4) - (88102943136)/(182717648081)*a^(3) + (20338731036)/(182717648081)*a^(2) - (44051513976)/(182717648081)*a + (183852551251)/(182717648081) , (23184)/(182717648081)*a^(33) + (765072)/(182717648081)*a^(31) + (11476080)/(182717648081)*a^(29) + (103539744)/(182717648081)*a^(27) + (626593968)/(182717648081)*a^(25) + (1762289)/(182717648081)*a^(24) + (2685402720)/(182717648081)*a^(23) + (42294936)/(182717648081)*a^(22) + (8387739360)/(182717648081)*a^(21) + (444096828)/(182717648081)*a^(20) + (19356321600)/(182717648081)*a^(19) + (2678679280)/(182717648081)*a^(18) + (33099309936)/(182717648081)*a^(17) + (10245948246)/(182717648081)*a^(16) + (41680612512)/(182717648081)*a^(15) + (25884500832)/(182717648081)*a^(14) + (38056211424)/(182717648081)*a^(13) + (43620177328)/(182717648081)*a^(12) + (24532103232)/(182717648081)*a^(11) + (48385406784)/(182717648081)*a^(10) + (10708457760)/(182717648081)*a^(9) + (34020989145)/(182717648081)*a^(8) + (2965419072)/(182717648081)*a^(7) + (14112410312)/(182717648081)*a^(6) + (468224064)/(182717648081)*a^(5) + (3024087924)/(182717648081)*a^(4) + (34683264)/(182717648081)*a^(3) + (253769616)/(182717648081)*a^(2) + (765072)/(182717648081)*a + (3524578)/(182717648081) , (5473)/(182717648081)*a^(35) + (5473)/(182717648081)*a^(34) + (192847)/(182717648081)*a^(33) + (207974)/(182717648081)*a^(32) + (3129480)/(182717648081)*a^(31) + (3491774)/(182717648081)*a^(30) + (30945557)/(182717648081)*a^(29) + (34441572)/(182717648081)*a^(28) + (207425849)/(182717648081)*a^(27) + (222898446)/(182717648081)*a^(26) + (989420133)/(182717648081)*a^(25) + (997290892)/(182717648081)*a^(24) + (3422657581)/(182717648081)*a^(23) + (3153491757)/(182717648081)*a^(22) + (8573370685)/(182717648081)*a^(21) + (7053385482)/(182717648081)*a^(20) + (15261198909)/(182717648081)*a^(19) + (10997378314)/(182717648081)*a^(18) + (18745086652)/(182717648081)*a^(17) + (11883227954)/(182717648081)*a^(16) + (16060816637)/(182717648081)*a^(15) + (10329473869)/(182717648081)*a^(14) + (339419449)/(4938314813)*a^(13) + (12610108550)/(182717648081)*a^(12) + (13331971016)/(182717648081)*a^(11) + (22482858248)/(182717648081)*a^(10) + (14363345010)/(182717648081)*a^(9) + (33294928740)/(182717648081)*a^(8) + (18620423957)/(182717648081)*a^(7) + (20552657712)/(182717648081)*a^(6) + (23653065347)/(182717648081)*a^(5) - 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(5168)/(182717648081)*a^(34) + (134368)/(182717648081)*a^(33) - (160208)/(182717648081)*a^(32) + (2105960)/(182717648081)*a^(31) - (2232576)/(182717648081)*a^(30) + (19772768)/(182717648081)*a^(29) - (18532448)/(182717648081)*a^(28) + (124281356)/(182717648081)*a^(27) - (102419424)/(182717648081)*a^(26) + (553684016)/(182717648081)*a^(25) - (398938592)/(182717648081)*a^(24) + (1805184984)/(182717648081)*a^(23) - (1130019376)/(182717648081)*a^(22) + (4381921360)/(182717648081)*a^(21) - (2377198604)/(182717648081)*a^(20) + (7975351916)/(182717648081)*a^(19) - (3887834719)/(182717648081)*a^(18) + (10870841488)/(182717648081)*a^(17) - (5681124242)/(182717648081)*a^(16) + (10945588856)/(182717648081)*a^(15) - (8389861557)/(182717648081)*a^(14) + (7536985360)/(182717648081)*a^(13) - (8974673318)/(182717648081)*a^(12) + (1710548568)/(182717648081)*a^(11) + (1470346383)/(182717648081)*a^(10) - (3742562240)/(182717648081)*a^(9) + (20309051850)/(182717648081)*a^(8) - (5981071104)/(182717648081)*a^(7) + (26690517234)/(182717648081)*a^(6) - (3015496992)/(182717648081)*a^(5) + (9350288520)/(182717648081)*a^(4) + (1372697028)/(182717648081)*a^(3) + (14640065521)/(182717648081)*a^(2) - (134156610712)/(182717648081)*a + (154549465375)/(182717648081) , (196329)/(365435296162)*a^(30) + (2944935)/(182717648081)*a^(28) - (21)/(365435296162)*a^(27) + (79513245)/(365435296162)*a^(26) - (567)/(365435296162)*a^(25) + (319034625)/(182717648081)*a^(24) - (3402)/(182717648081)*a^(23) + (1693337625)/(182717648081)*a^(22) - (47817)/(365435296162)*a^(21) + (6258575862)/(182717648081)*a^(20) - (218295)/(365435296162)*a^(19) + (33031372605)/(365435296162)*a^(18) - (678699)/(365435296162)*a^(17) + (31390062165)/(182717648081)*a^(16) - (732564)/(182717648081)*a^(15) + (42804630225)/(182717648081)*a^(14) - (1098846)/(182717648081)*a^(13) + (41219273550)/(182717648081)*a^(12) + (916612158)/(182717648081)*a^(11) + (27204720543)/(182717648081)*a^(10) + (10094373366)/(182717648081)*a^(9) + (7825482241)/(182717648081)*a^(8) + (40380232200)/(182717648081)*a^(7) - (28078543882)/(182717648081)*a^(6) + (141331793043)/(365435296162)*a^(5) - (77377092880)/(182717648081)*a^(4) + (100951374111)/(365435296162)*a^(3) - (124418840023)/(365435296162)*a^(2) + (20190277695)/(365435296162)*a + (174938906032)/(182717648081) , (1597)/(365435296162)*a^(35) + (1597)/(365435296162)*a^(34) + (49507)/(365435296162)*a^(33) + (30343)/(182717648081)*a^(32) + (344952)/(182717648081)*a^(31) + (509443)/(182717648081)*a^(30) + (2863421)/(182717648081)*a^(29) + (10049921)/(365435296162)*a^(28) + (15824673)/(182717648081)*a^(27) + (32618725)/(182717648081)*a^(26) + (61639409)/(182717648081)*a^(25) + (295599909)/(365435296162)*a^(24) + (349195229)/(365435296162)*a^(23) + (966576265)/(365435296162)*a^(22) + (372896306)/(182717648081)*a^(21) + (2321851151)/(365435296162)*a^(20) + (1450064821)/(365435296162)*a^(19) + (2062792199)/(182717648081)*a^(18) + (2013810616)/(182717648081)*a^(17) + (2713365283)/(182717648081)*a^(16) + (13590142751)/(365435296162)*a^(15) + (5358888409)/(365435296162)*a^(14) + (32667231633)/(365435296162)*a^(13) + (4329765639)/(365435296162)*a^(12) + (42490403575)/(365435296162)*a^(11) + (1650670379)/(182717648081)*a^(10) + (7264796665)/(182717648081)*a^(9) + (2474987481)/(365435296162)*a^(8) - 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