/* 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 - 73*x^34 + 73*x^33 + 2443*x^32 - 2443*x^31 - 49653*x^30 + 49653*x^29 + 684427*x^28 - 684427*x^27 - 6766485*x^26 + 6766485*x^25 + 49475883*x^24 - 49475883*x^23 - 271909077*x^22 + 271909077*x^21 + 1129994283*x^20 - 1129994283*x^19 - 3543016917*x^18 + 3543016917*x^17 + 8295278123*x^16 - 8295278123*x^15 - 14222318037*x^14 + 14222318037*x^13 + 17302316587*x^12 - 17302316587*x^11 - 14222318037*x^10 + 14222318037*x^9 + 7316252203*x^8 - 7316252203*x^7 - 2082396629*x^6 + 2082396629*x^5 + 267265579*x^4 - 267265579*x^3 - 9165269*x^2 + 9165269*x + 534059, 36, 1, [36, 0], 12555241263526989253001578573158506357399006856342819571588617542650957, [7, 37], [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, 1/194399*a^19 - 18291/194399*a^18 - 38/194399*a^17 + 75279/194399*a^16 + 608/194399*a^15 + 37209/194399*a^14 - 5320/194399*a^13 - 2901/194399*a^12 + 27664/194399*a^11 + 96990/194399*a^10 - 86944/194399*a^9 + 75349/194399*a^8 - 33887/194399*a^7 - 30810/194399*a^6 + 33887/194399*a^5 - 97176/194399*a^4 + 72960/194399*a^3 - 9727/194399*a^2 - 9728/194399*a + 67680/194399, 1/194399*a^20 - 40/194399*a^18 - 36582/194399*a^17 + 680/194399*a^16 + 77394/194399*a^15 - 6400/194399*a^14 + 82878/194399*a^13 + 36400/194399*a^12 + 78617/194399*a^11 + 66271/194399*a^10 - 33535/194399*a^9 + 80161/194399*a^8 + 80484/194399*a^7 + 50878/194399*a^6 - 14071/194399*a^5 + 16801/194399*a^4 - 47502/194399*a^3 - 51200/194399*a^2 + 7917/194399*a + 2048/194399, 1/194399*a^21 + 9374/194399*a^18 - 840/194399*a^17 - 21830/194399*a^16 + 17920/194399*a^15 + 16046/194399*a^14 + 17999/194399*a^13 - 37423/194399*a^12 + 6437/194399*a^11 - 41915/194399*a^10 - 92816/194399*a^9 - 15940/194399*a^8 + 56191/194399*a^7 - 80077/194399*a^6 + 11488/194399*a^5 - 46562/194399*a^4 - 48785/194399*a^3 + 7635/194399*a^2 + 1726/194399*a - 14386/194399, 1/194399*a^22 - 924/194399*a^18 - 54416/194399*a^17 + 20944/194399*a^16 - 45775/194399*a^15 - 27361/194399*a^14 + 66113/194399*a^13 - 15449/194399*a^12 - 35985/194399*a^11 - 72953/194399*a^10 + 76508/194399*a^9 - 13768/194399*a^8 - 71305/194399*a^7 - 52486/194399*a^6 - 758/2663*a^5 - 74675/194399*a^4 - 23723/194399*a^3 + 9493/194399*a^2 + 2755/194399*a + 86016/194399, 1/194399*a^23 - 42587/194399*a^18 - 14168/194399*a^17 - 82821/194399*a^16 - 48766/194399*a^15 + 38606/194399*a^14 - 71154/194399*a^13 + 5077/194399*a^12 + 22314/194399*a^11 + 77329/194399*a^10 - 63237/194399*a^9 - 43671/194399*a^8 - 65835/194399*a^7 + 52879/194399*a^6 - 61326/194399*a^5 - 2009/194399*a^4 - 31920/194399*a^3 - 42639/194399*a^2 + 39698/194399*a - 60158/194399, 1/194399*a^24 - 16192/194399*a^18 + 48464/194399*a^17 + 24098/194399*a^16 + 76435/194399*a^15 + 2280/194399*a^14 - 1136/2663*a^13 - 79208/194399*a^12 - 48242/194399*a^11 + 54340/194399*a^10 - 10046/194399*a^9 + 72134/194399*a^8 - 69013/194399*a^7 + 26454/194399*a^6 - 74516/194399*a^5 + 94079/194399*a^4 + 25664/194399*a^3 + 60218/194399*a^2 - 82225/194399*a - 65813/194399, 1/194399*a^25 - 49731/194399*a^18 - 8001/194399*a^17 - 82126/194399*a^16 - 67333/194399*a^15 - 37301/194399*a^14 + 92508/194399*a^13 + 23324/194399*a^12 + 94532/194399*a^11 + 96912/194399*a^10 - 81955/194399*a^9 - 66129/194399*a^8 - 77872/194399*a^7 + 989/2663*a^6 + 4006/194399*a^5 + 17378/194399*a^4 + 65815/194399*a^3 + 75780/194399*a^2 + 76000/194399*a + 47397/194399, 1/194399*a^26 - 44801/194399*a^18 - 27914/194399*a^17 + 91073/194399*a^16 + 67302/194399*a^15 + 49206/194399*a^14 + 31443/194399*a^13 + 68959/194399*a^12 + 93573/194399*a^11 + 94146/194399*a^10 - 55635/194399*a^9 + 62522/194399*a^8 + 82731/194399*a^7 + 44814/194399*a^6 + 6844/194399*a^5 - 29100/194399*a^4 - 7795/194399*a^3 + 7275/194399*a^2 - 71059/194399*a - 30206/194399, 1/194399*a^27 - 91220/194399*a^18 - 56173/194399*a^17 + 13530/194399*a^16 + 72354/194399*a^15 + 60427/194399*a^14 + 60813/194399*a^13 - 15596/194399*a^12 - 19014/194399*a^11 - 13093/194399*a^10 + 57141/194399*a^9 + 54645/194399*a^8 - 64882/194399*a^7 - 79066/194399*a^6 + 80596/194399*a^5 - 24166/194399*a^4 + 63449/194399*a^3 - 7828/194399*a^2 - 11776/194399*a + 90477/194399, 1/194399*a^28 - 34576/194399*a^18 + 46352/194399*a^17 + 72458/194399*a^16 - 75927/194399*a^15 + 59253/194399*a^14 - 86092/194399*a^13 - 71195/194399*a^12 + 3568/194399*a^11 - 2347/194399*a^10 - 81032/194399*a^9 - 94545/194399*a^8 + 81692/194399*a^7 + 18739/194399*a^6 + 9475/194399*a^5 + 68730/194399*a^4 - 40792/194399*a^3 - 71680/194399*a^2 - 60647/194399*a + 46158/194399, 1/194399*a^29 - 3317/194399*a^18 - 75036/194399*a^17 - 37434/194399*a^16 + 86369/194399*a^15 - 80290/194399*a^14 + 80338/194399*a^13 + 8476/194399*a^12 + 65037/194399*a^11 + 62458/194399*a^10 - 84153/194399*a^9 + 13318/194399*a^8 - 15400/194399*a^7 + 29435/194399*a^6 - 91530/194399*a^5 - 5852/194399*a^4 + 71856/194399*a^3 - 71129/194399*a^2 + 1100/194399*a - 71482/194399, 1/194399*a^30 - 93795/194399*a^18 + 30919/194399*a^17 - 15903/194399*a^16 - 7544/194399*a^15 + 59226/194399*a^14 + 52345/194399*a^13 - 32029/194399*a^12 + 67618/194399*a^11 + 95731/194399*a^10 - 1181/2663*a^9 - 79881/194399*a^8 - 11122/194399*a^7 - 34426/194399*a^6 + 34705/194399*a^5 + 52606/194399*a^4 - 89564/194399*a^3 + 6875/194399*a^2 - 69024/194399*a - 36285/194399, 1/194399*a^31 - 2251/194399*a^18 - 80931/194399*a^17 + 20182/194399*a^16 - 66720/194399*a^15 + 25253/194399*a^14 + 804/194399*a^13 - 67476/194399*a^12 + 2759/194399*a^11 - 4767/194399*a^10 + 45689/194399*a^9 - 27312/194399*a^8 - 41941/194399*a^7 - 48110/194399*a^6 + 60121/194399*a^5 + 73429/194399*a^4 + 56477/194399*a^3 + 95917/194399*a^2 + 34861/194399*a - 53745/194399, 1/194399*a^32 - 41384/194399*a^18 - 65356/194399*a^17 + 64780/194399*a^16 + 33068/194399*a^15 - 27706/194399*a^14 + 9942/194399*a^13 + 82174/194399*a^12 + 59217/194399*a^11 + 60102/194399*a^10 + 21537/194399*a^9 + 52730/194399*a^8 + 71060/194399*a^7 - 87145/194399*a^6 - 45741/194399*a^5 + 12176/194399*a^4 + 61722/194399*a^3 - 87928/194399*a^2 + 15614/194399*a - 61136/194399, 1/194399*a^33 - 30394/194399*a^18 + 47380/194399*a^17 - 59170/194399*a^16 + 56295/194399*a^15 + 32719/194399*a^14 - 21038/194399*a^13 - 51584/194399*a^12 + 91367/194399*a^11 - 94855/194399*a^10 + 93325/194399*a^9 - 40283/194399*a^8 - 72367/194399*a^7 - 23740/194399*a^6 - 2602/194399*a^5 + 62251/194399*a^4 + 77843/194399*a^3 + 73775/194399*a^2 - 44359/194399*a - 31672/194399, 1/194399*a^34 + 91866/194399*a^18 - 47748/194399*a^17 + 9991/194399*a^16 + 44366/194399*a^15 + 90325/194399*a^14 - 7696/194399*a^13 - 18880/194399*a^12 - 50914/194399*a^11 - 53450/194399*a^10 + 43787/194399*a^9 + 64919/194399*a^8 - 59316/194399*a^7 - 21759/194399*a^6 - 96572/194399*a^5 + 14506/194399*a^4 - 83777/194399*a^3 - 5918/194399*a^2 - 23625/194399*a - 64298/194399, 1/194399*a^35 + 82701/194399*a^18 + 1717/194399*a^17 + 13778/194399*a^16 + 28310/194399*a^15 + 62326/194399*a^14 - 10846/194399*a^13 - 68677/194399*a^12 - 56347/194399*a^11 + 44213/194399*a^10 - 9290/194399*a^9 + 89042/194399*a^8 - 64203/194399*a^7 + 39847/194399*a^6 + 56950/194399*a^5 + 90160/194399*a^4 - 60556/194399*a^3 - 95246/194399*a^2 - 44053/194399*a - 27663/194399], 0, 1, [], 1, [ (93)/(194399)*a^(21) - (3906)/(194399)*a^(19) + (70308)/(194399)*a^(17) - (287)/(194399)*a^(16) - (708288)/(194399)*a^(15) + (9184)/(194399)*a^(14) + (4374720)/(194399)*a^(13) - (119392)/(194399)*a^(12) - (17061408)/(194399)*a^(11) + (808192)/(194399)*a^(10) + (41705664)/(194399)*a^(9) - (3030720)/(194399)*a^(8) - (61281792)/(194399)*a^(7) + (6171648)/(194399)*a^(6) + (49496832)/(194399)*a^(5) - (6171648)/(194399)*a^(4) - (18332160)/(194399)*a^(3) + (2351104)/(194399)*a^(2) + (1999872)/(194399)*a - (146944)/(194399) , (1)/(194399)*a^(32) - (64)/(194399)*a^(30) + (1856)/(194399)*a^(28) - (32256)/(194399)*a^(26) + (374400)/(194399)*a^(24) - (3061760)/(194399)*a^(22) + (18135040)/(194399)*a^(20) - (78757888)/(194399)*a^(18) + (251040768)/(194399)*a^(16) - (582123520)/(194399)*a^(14) + (963149824)/(194399)*a^(12) - (1100742656)/(194399)*a^(10) + (825556992)/(194399)*a^(8) - (374341632)/(194399)*a^(6) + (41757)/(194399)*a^(5) + (89128960)/(194399)*a^(4) - (417570)/(194399)*a^(3) - (8388608)/(194399)*a^(2) + (835140)/(194399)*a + (131072)/(194399) , (5)/(194399)*a^(31) - (310)/(194399)*a^(29) + (8680)/(194399)*a^(27) - (145080)/(194399)*a^(25) + (1612000)/(194399)*a^(23) - (12548800)/(194399)*a^(21) + (70273280)/(194399)*a^(19) - (286112640)/(194399)*a^(17) + (845898240)/(194399)*a^(15) - (1794329600)/(194399)*a^(13) + (2665861120)/(194399)*a^(11) - (2665861120)/(194399)*a^(9) + (1683701760)/(194399)*a^(7) + (7193)/(194399)*a^(6) - (604405760)/(194399)*a^(5) - (86316)/(194399)*a^(4) + (101580800)/(194399)*a^(3) + (258948)/(194399)*a^(2) - (5079040)/(194399)*a - (115088)/(194399) , (1)/(194399)*a^(32) - (64)/(194399)*a^(30) + (1856)/(194399)*a^(28) - (11)/(194399)*a^(27) - (32256)/(194399)*a^(26) + (594)/(194399)*a^(25) + (374400)/(194399)*a^(24) - (14256)/(194399)*a^(23) - (3061760)/(194399)*a^(22) + (200376)/(194399)*a^(21) + (18135040)/(194399)*a^(20) - (1829520)/(194399)*a^(19) - (78757888)/(194399)*a^(18) + (11376288)/(194399)*a^(17) + (251040768)/(194399)*a^(16) - (49116672)/(194399)*a^(15) - (582123520)/(194399)*a^(14) + (147350016)/(194399)*a^(13) + (963149824)/(194399)*a^(12) - (302455296)/(194399)*a^(11) - (1100750935)/(194399)*a^(10) + (410741760)/(194399)*a^(9) + (825722572)/(194399)*a^(8) - (347922432)/(194399)*a^(7) - (375500692)/(194399)*a^(6) + (166095645)/(194399)*a^(5) + (92440560)/(194399)*a^(4) - (37318434)/(194399)*a^(3) - (11700208)/(194399)*a^(2) + (3268164)/(194399)*a + (466529)/(194399) , (3)/(194399)*a^(33) - (198)/(194399)*a^(31) + (5940)/(194399)*a^(29) - (107184)/(194399)*a^(27) + (1297296)/(194399)*a^(25) - (11119680)/(194399)*a^(23) + (69463680)/(194399)*a^(21) - (320601600)/(194399)*a^(19) + (1096457472)/(194399)*a^(17) - (2761448448)/(194399)*a^(15) + (5042644992)/(194399)*a^(13) - (6501261312)/(194399)*a^(11) + (5675704320)/(194399)*a^(9) - (3143467008)/(194399)*a^(7) + (992673792)/(194399)*a^(5) + (56143)/(194399)*a^(4) - (147062784)/(194399)*a^(3) - (449144)/(194399)*a^(2) + (6488064)/(194399)*a + (643543)/(194399) , (1)/(194399)*a^(24) - (48)/(194399)*a^(22) + (1008)/(194399)*a^(20) - (12160)/(194399)*a^(18) + (93024)/(194399)*a^(16) - (470016)/(194399)*a^(14) - (2115)/(194399)*a^(13) + (1584128)/(194399)*a^(12) + (54990)/(194399)*a^(11) - (3514368)/(194399)*a^(10) - (549900)/(194399)*a^(9) + (4942080)/(194399)*a^(8) + (2639520)/(194399)*a^(7) - (4100096)/(194399)*a^(6) - (6158880)/(194399)*a^(5) + (1757184)/(194399)*a^(4) + (6158880)/(194399)*a^(3) - (294912)/(194399)*a^(2) - (1759680)/(194399)*a - (186207)/(194399) , (1)/(194399)*a^(35) - (70)/(194399)*a^(33) + (1)/(194399)*a^(32) + (2240)/(194399)*a^(31) - (71)/(194399)*a^(30) - (43400)/(194399)*a^(29) + (2276)/(194399)*a^(28) + (568389)/(194399)*a^(27) - (43596)/(194399)*a^(26) - (5319585)/(194399)*a^(25) + (556400)/(194399)*a^(24) + (36674694)/(194399)*a^(23) - (4993671)/(194399)*a^(22) - (189196524)/(194399)*a^(21) + (32412197)/(194399)*a^(20) + (734276480)/(194399)*a^(19) - (154046404)/(194399)*a^(18) - (2137030339)/(194399)*a^(17) + (536571544)/(194399)*a^(16) + (4609093323)/(194399)*a^(15) - (1356464960)/(194399)*a^(14) - (7205328746)/(194399)*a^(13) + (2435404289)/(194399)*a^(12) + (7873285496)/(194399)*a^(11) - (2989903279)/(194399)*a^(10) - (5672927560)/(194399)*a^(9) + (2355531940)/(194399)*a^(8) + (2449039301)/(194399)*a^(7) - (1067146260)/(194399)*a^(6) - (539284009)/(194399)*a^(5) + (227715200)/(194399)*a^(4) + (48568310)/(194399)*a^(3) - (17127143)/(194399)*a^(2) - (1028180)/(194399)*a - (34627)/(194399) , (1)/(194399)*a^(32) - (64)/(194399)*a^(30) + (1856)/(194399)*a^(28) - (32256)/(194399)*a^(26) + (374400)/(194399)*a^(24) - (3061760)/(194399)*a^(22) + (18135040)/(194399)*a^(20) - (78757888)/(194399)*a^(18) + (251040768)/(194399)*a^(16) - (582123520)/(194399)*a^(14) + (963149824)/(194399)*a^(12) - (1100742656)/(194399)*a^(10) + (825556992)/(194399)*a^(8) - (374341632)/(194399)*a^(6) + (41757)/(194399)*a^(5) + (89128960)/(194399)*a^(4) - (417570)/(194399)*a^(3) - (8388608)/(194399)*a^(2) + (835140)/(194399)*a - (63327)/(194399) , (11)/(194399)*a^(27) - (594)/(194399)*a^(25) + (14256)/(194399)*a^(23) - (200376)/(194399)*a^(21) + (1829520)/(194399)*a^(19) - (11376288)/(194399)*a^(17) + (49116672)/(194399)*a^(15) - (147350016)/(194399)*a^(13) + (302455296)/(194399)*a^(11) + (8279)/(194399)*a^(10) - (410741760)/(194399)*a^(9) - (165580)/(194399)*a^(8) + (347922432)/(194399)*a^(7) + (1159060)/(194399)*a^(6) - (166053888)/(194399)*a^(5) - (3311600)/(194399)*a^(4) + (36900864)/(194399)*a^(3) + (3311600)/(194399)*a^(2) - (2433024)/(194399)*a - (335457)/(194399) , (91)/(194399)*a^(23) - (4186)/(194399)*a^(21) + (83720)/(194399)*a^(19) - (954408)/(194399)*a^(17) + (6831552)/(194399)*a^(15) + (967)/(194399)*a^(14) - (31880576)/(194399)*a^(13) - (27076)/(194399)*a^(12) + (97517056)/(194399)*a^(11) + (297836)/(194399)*a^(10) - (191551360)/(194399)*a^(9) - (1624560)/(194399)*a^(8) + (229861632)/(194399)*a^(7) + (4548768)/(194399)*a^(6) - (153241088)/(194399)*a^(5) - (6065024)/(194399)*a^(4) + (47151104)/(194399)*a^(3) + (3032512)/(194399)*a^(2) - (4286464)/(194399)*a - (53153)/(194399) , (1)/(194399)*a^(34) - (68)/(194399)*a^(32) + (2108)/(194399)*a^(30) - (39440)/(194399)*a^(28) + (496944)/(194399)*a^(26) - (4455360)/(194399)*a^(24) + (29278080)/(194399)*a^(22) - (143137280)/(194399)*a^(20) + (523001600)/(194399)*a^(18) - (1422564352)/(194399)*a^(16) + (2845128704)/(194399)*a^(14) - (4093386752)/(194399)*a^(12) + (4093386752)/(194399)*a^(10) - (2698936320)/(194399)*a^(8) + (1079574528)/(194399)*a^(6) - (227278848)/(194399)*a^(4) - (27371)/(194399)*a^(3) + (18939904)/(194399)*a^(2) + (164226)/(194399)*a - (262144)/(194399) , (11)/(194399)*a^(27) - (594)/(194399)*a^(25) + (14256)/(194399)*a^(23) - (200376)/(194399)*a^(21) + (1829520)/(194399)*a^(19) - (11376288)/(194399)*a^(17) + (49116672)/(194399)*a^(15) - (147350016)/(194399)*a^(13) + (302455296)/(194399)*a^(11) + (8279)/(194399)*a^(10) - (410741760)/(194399)*a^(9) - (165580)/(194399)*a^(8) + (347922432)/(194399)*a^(7) + (1159060)/(194399)*a^(6) - (166053888)/(194399)*a^(5) - (3311600)/(194399)*a^(4) + (36900864)/(194399)*a^(3) + (3311600)/(194399)*a^(2) - (2433024)/(194399)*a - (529856)/(194399) , (17)/(194399)*a^(28) - (952)/(194399)*a^(26) + (23800)/(194399)*a^(24) - (350336)/(194399)*a^(22) + (3371984)/(194399)*a^(20) - (22284416)/(194399)*a^(18) + (103318656)/(194399)*a^(16) - (337367040)/(194399)*a^(14) + (767510016)/(194399)*a^(12) - (1184927744)/(194399)*a^(10) + (7917)/(194399)*a^(9) + (1184927744)/(194399)*a^(8) - (142506)/(194399)*a^(7) - (709689344)/(194399)*a^(6) + (855036)/(194399)*a^(5) + (221777920)/(194399)*a^(4) - (1900080)/(194399)*a^(3) - (27295744)/(194399)*a^(2) + (1140048)/(194399)*a + (362657)/(194399) , (85)/(194399)*a^(19) + (457)/(194399)*a^(18) - (3230)/(194399)*a^(17) - (16452)/(194399)*a^(16) + (51680)/(194399)*a^(15) + (246780)/(194399)*a^(14) - (452200)/(194399)*a^(13) - (1996176)/(194399)*a^(12) + (2351440)/(194399)*a^(11) + (9410544)/(194399)*a^(10) - (7390240)/(194399)*a^(9) - (26059968)/(194399)*a^(8) + (13643520)/(194399)*a^(7) + (40537728)/(194399)*a^(6) - (13643520)/(194399)*a^(5) - (31587840)/(194399)*a^(4) + (6201600)/(194399)*a^(3) + (9476352)/(194399)*a^(2) - 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x^5 - 15*x^4 + 28*x^3 + 15*x^2 - 38*x - 1, 1], [x^9 - x^8 - 16*x^7 + 11*x^6 + 66*x^5 - 32*x^4 - 73*x^3 + 7*x^2 + 7*x - 1, 1], [x^12 - x^11 - 72*x^10 - 54*x^9 + 1615*x^8 + 3127*x^7 - 11681*x^6 - 35941*x^5 + 6236*x^4 + 111224*x^3 + 126231*x^2 + 44847*x + 1009, 1], [x^18 - x^17 - 17*x^16 + 16*x^15 + 120*x^14 - 105*x^13 - 455*x^12 + 364*x^11 + 1001*x^10 - 715*x^9 - 1287*x^8 + 792*x^7 + 924*x^6 - 462*x^5 - 330*x^4 + 120*x^3 + 45*x^2 - 9*x - 1, 1]]]