/* 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^32 - 160*x^30 + 11600*x^28 - 504000*x^26 + 14625000*x^24 - 299000000*x^22 + 4427500000*x^20 - 48070000000*x^18 + 383057812500*x^16 - 2220625000000*x^14 + 9185312500000*x^12 - 26243750000000*x^10 + 49207031250000*x^8 - 55781250000000*x^6 + 33203125000000*x^4 - 7812500000000*x^2 + 28500781250, 32, 33, [32, 0], 187072209578355573530071658587684226515959365500928000000000000000000000000, [2, 5], [1, a, a^2, a^3, 1/5*a^4, 1/5*a^5, 1/5*a^6, 1/5*a^7, 1/25*a^8, 1/25*a^9, 1/25*a^10, 1/25*a^11, 1/125*a^12, 1/125*a^13, 1/125*a^14, 1/125*a^15, 1/539375*a^16 - 16/107875*a^14 - 343/107875*a^12 - 34/21575*a^10 + 103/21575*a^8 - 403/4315*a^6 - 287/4315*a^4 - 233/863*a^2 + 387/863, 1/103020625*a^17 + 46586/20604125*a^15 - 33137/20604125*a^13 + 35349/4120825*a^11 + 63102/4120825*a^9 - 78073/824165*a^7 - 63286/824165*a^5 - 66684/164833*a^3 + 79783/164833*a, 1/103020625*a^18 - 18/20604125*a^16 + 68857/20604125*a^14 - 6233/20604125*a^12 + 73798/4120825*a^10 + 3859/4120825*a^8 + 53797/824165*a^6 - 49212/824165*a^4 - 21447/164833*a^2 - 79/863, 1/103020625*a^19 - 24061/20604125*a^15 - 21569/20604125*a^13 - 41452/4120825*a^11 + 78717/4120825*a^9 - 49787/824165*a^7 + 24203/824165*a^5 + 75814/164833*a^3 + 77562/164833*a, 1/515103125*a^20 + 1/20604125*a^16 + 39196/20604125*a^14 - 10888/4120825*a^12 + 54631/4120825*a^10 - 43484/4120825*a^8 - 1577/824165*a^6 - 14595/164833*a^4 + 45423/164833*a^2 - 429/863, 1/515103125*a^21 - 28901/20604125*a^15 - 53588/20604125*a^13 + 42719/4120825*a^11 - 29328/4120825*a^9 + 59122/824165*a^7 + 78622/824165*a^5 + 49177/164833*a^3 + 13645/164833*a, 1/515103125*a^22 + 82/103020625*a^16 - 59318/20604125*a^14 + 70154/20604125*a^12 - 296/4120825*a^10 + 4687/824165*a^8 - 778/164833*a^6 - 42334/824165*a^4 - 49194/164833*a^2 + 402/863, 1/515103125*a^23 + 76622/20604125*a^15 - 14773/20604125*a^13 + 13616/824165*a^11 - 41106/4120825*a^9 - 30391/824165*a^7 + 7459/164833*a^5 - 20595/164833*a^3 - 36937/164833*a, 1/2575515625*a^24 + 31/103020625*a^16 - 63196/20604125*a^14 - 34487/20604125*a^12 + 24478/4120825*a^10 - 1456/824165*a^8 + 49861/824165*a^6 + 38233/824165*a^4 + 3385/164833*a^2 + 153/863, 1/2575515625*a^25 - 4773/4120825*a^15 + 3762/20604125*a^13 - 82343/4120825*a^11 + 14554/4120825*a^9 - 2371/824165*a^7 + 22103/824165*a^5 - 72240/164833*a^3 + 28445/164833*a, 1/2575515625*a^26 + 2/4120825*a^16 + 71758/20604125*a^14 + 15743/20604125*a^12 + 76629/4120825*a^10 - 15741/824165*a^8 + 45214/824165*a^6 - 1379/164833*a^4 + 70847/164833*a^2 + 235/863, 1/2575515625*a^27 + 10024/4120825*a^15 + 24263/20604125*a^13 - 42491/4120825*a^11 + 12571/824165*a^9 - 7128/824165*a^7 + 25578/824165*a^5 - 56446/164833*a^3 + 11727/164833*a, 1/12877578125*a^28 + 78/103020625*a^16 - 51607/20604125*a^14 - 20717/20604125*a^12 + 65669/4120825*a^10 - 51631/4120825*a^8 + 29449/824165*a^6 - 34863/824165*a^4 - 8045/164833*a^2 - 423/863, 1/12877578125*a^29 - 58989/20604125*a^15 - 73359/20604125*a^13 - 2169/164833*a^11 - 28597/4120825*a^9 + 20322/824165*a^7 - 8709/164833*a^5 - 81349/164833*a^3 - 40213/164833*a, 1/12877578125*a^30 - 41/103020625*a^16 - 11666/20604125*a^14 - 50902/20604125*a^12 - 104/824165*a^10 - 17383/4120825*a^8 - 45264/824165*a^6 + 1927/164833*a^4 - 17484/164833*a^2 + 332/863, 1/12877578125*a^31 - 79636/20604125*a^15 + 73978/20604125*a^13 - 34708/4120825*a^11 - 67529/4120825*a^9 + 50403/824165*a^7 + 52237/824165*a^5 + 50633/164833*a^3 + 37855/164833*a], 0, 2, [2], 1, [ (1)/(539375)*a^(16) - (16)/(107875)*a^(14) + (104)/(21575)*a^(12) - (352)/(4315)*a^(10) + (660)/(863)*a^(8) - (3360)/(863)*a^(6) + (8400)/(863)*a^(4) - (8000)/(863)*a^(2) + (2113)/(863) , (7)/(2575515625)*a^(24) - (168)/(515103125)*a^(22) + (1764)/(103020625)*a^(20) - (2128)/(4120825)*a^(18) + (40698)/(4120825)*a^(16) - (102816)/(824165)*a^(14) + (173264)/(164833)*a^(12) - (960960)/(164833)*a^(10) + (84449079)/(4120825)*a^(8) - (34952632)/(824165)*a^(6) + (7301580)/(164833)*a^(4) - (2326320)/(164833)*a^(2) - (2413)/(863) , (24)/(2575515625)*a^(24) - (576)/(515103125)*a^(22) + (6048)/(103020625)*a^(20) - (7296)/(4120825)*a^(18) + (139536)/(4120825)*a^(16) - (352512)/(824165)*a^(14) + (594048)/(164833)*a^(12) - (3294720)/(164833)*a^(10) + (289563247)/(4120825)*a^(8) - (120025976)/(824165)*a^(6) + (25504940)/(164833)*a^(4) - (9859760)/(164833)*a^(2) - (13)/(863) , (4)/(12877578125)*a^(28) - (112)/(2575515625)*a^(26) + (56)/(20604125)*a^(24) - (10304)/(103020625)*a^(22) + (49588)/(20604125)*a^(20) - (163856)/(4120825)*a^(18) + (379848)/(824165)*a^(16) - (620160)/(164833)*a^(14) + (3527160)/(164833)*a^(12) - (13613600)/(164833)*a^(10) + (34034000)/(164833)*a^(8) - (50960000)/(164833)*a^(6) + (198986057)/(824165)*a^(4) - (11944228)/(164833)*a^(2) - (1593)/(863) , (44)/(515103125)*a^(20) - (176)/(20604125)*a^(18) + (1496)/(4120825)*a^(16) - (1408)/(164833)*a^(14) + (2502737)/(20604125)*a^(12) - (4407244)/(4120825)*a^(10) + (4731798)/(824165)*a^(8) - (2930544)/(164833)*a^(6) + (4661925)/(164833)*a^(4) - (2963300)/(164833)*a^(2) + (2613)/(863) , (4)/(12877578125)*a^(28) - (112)/(2575515625)*a^(26) + (6993)/(2575515625)*a^(24) - (51352)/(515103125)*a^(22) + (1230763)/(515103125)*a^(20) - (808172)/(20604125)*a^(18) + (1854564)/(4120825)*a^(16) - (2979264)/(824165)*a^(14) + (412585741)/(20604125)*a^(12) - (304641692)/(4120825)*a^(10) + (704500991)/(4120825)*a^(8) - (182982328)/(824165)*a^(6) + (110329532)/(824165)*a^(4) - (5109808)/(164833)*a^(2) + (207)/(863) , (117)/(515103125)*a^(20) - (468)/(20604125)*a^(18) + (3978)/(4120825)*a^(16) - (3744)/(164833)*a^(14) + (6651259)/(20604125)*a^(12) - (11674308)/(4120825)*a^(10) + (12379986)/(824165)*a^(8) - (7373008)/(164833)*a^(6) + (10429725)/(164833)*a^(4) - (4508100)/(164833)*a^(2) + (613)/(863) , (3)/(12877578125)*a^(28) - (84)/(2575515625)*a^(26) + (42)/(20604125)*a^(24) - (7728)/(103020625)*a^(22) + (37191)/(20604125)*a^(20) - (3072271)/(103020625)*a^(18) + (7121628)/(20604125)*a^(16) - (58121143)/(20604125)*a^(14) + (66065132)/(4120825)*a^(12) - (50919671)/(824165)*a^(10) + (25417890)/(164833)*a^(8) - (38270610)/(164833)*a^(6) + (157084251)/(824165)*a^(4) - (12052629)/(164833)*a^(2) + (7949)/(863) , (2)/(2575515625)*a^(26) - (52)/(515103125)*a^(24) + (598)/(103020625)*a^(22) - (100056)/(515103125)*a^(20) + (86274)/(20604125)*a^(18) - (250444)/(4120825)*a^(16) + (99368)/(164833)*a^(14) - (83687263)/(20604125)*a^(12) + (74600256)/(4120825)*a^(10) - (41743202)/(824165)*a^(8) + (66687369)/(824165)*a^(6) - (10178609)/(164833)*a^(4) + (2715705)/(164833)*a^(2) + (389)/(863) , (2)/(12877578125)*a^(30) - (304)/(12877578125)*a^(28) + (4162)/(2575515625)*a^(26) - (1356)/(20604125)*a^(24) + (182804)/(103020625)*a^(22) - (687148)/(20604125)*a^(20) + (1846306)/(4120825)*a^(18) - (3577548)/(824165)*a^(16) + (4980660)/(164833)*a^(14) - (24522160)/(164833)*a^(12) + (82897100)/(164833)*a^(10) - (183209000)/(164833)*a^(8) + (244335000)/(164833)*a^(6) - (855236057)/(824165)*a^(4) + (46991787)/(164833)*a^(2) - (4349)/(863) , (41)/(515103125)*a^(22) - (23)/(2696875)*a^(20) + (8101)/(20604125)*a^(18) - (42024)/(4120825)*a^(16) + (26924)/(164833)*a^(14) - (180051)/(107875)*a^(12) + (1790177)/(164833)*a^(10) - (35963344)/(824165)*a^(8) + (16719397)/(164833)*a^(6) - (19916025)/(164833)*a^(4) + (9343775)/(164833)*a^(2) - (6089)/(863) , (3)/(12877578125)*a^(28) - (84)/(2575515625)*a^(26) + (42)/(20604125)*a^(24) - (7728)/(103020625)*a^(22) + (37191)/(20604125)*a^(20) - (3072022)/(103020625)*a^(18) + (7117146)/(20604125)*a^(16) - (57953549)/(20604125)*a^(14) + (65392096)/(4120825)*a^(12) - (49354393)/(824165)*a^(10) + (23300310)/(164833)*a^(8) - (30349830)/(164833)*a^(6) + (84831251)/(824165)*a^(4) - (2393129)/(164833)*a^(2) - (2229)/(863) , (11)/(2575515625)*a^(26) - (286)/(515103125)*a^(24) + (3289)/(103020625)*a^(22) - (638)/(596875)*a^(20) + (475651)/(20604125)*a^(18) - (1387166)/(4120825)*a^(16) + (555676)/(164833)*a^(14) - (552199)/(23875)*a^(12) + (438948494)/(4120825)*a^(10) - (260344298)/(824165)*a^(8) + (461940793)/(824165)*a^(6) - (85790363)/(164833)*a^(4) + (30489085)/(164833)*a^(2) + (689)/(863) , (1)/(12877578125)*a^(30) - (146)/(12877578125)*a^(28) + (1913)/(2575515625)*a^(26) - (594)/(20604125)*a^(24) + (75946)/(103020625)*a^(22) - (269192)/(20604125)*a^(20) + (677369)/(4120825)*a^(18) - (1219002)/(824165)*a^(16) + (1560090)/(164833)*a^(14) - (6970340)/(164833)*a^(12) + (21028150)/(164833)*a^(10) - (40553500)/(164833)*a^(8) + (45727500)/(164833)*a^(6) - (129138943)/(824165)*a^(4) + (5497135)/(164833)*a^(2) - (249)/(863) , (38)/(515103125)*a^(22) - (4297)/(515103125)*a^(20) + (1682)/(4120825)*a^(18) - (46614)/(4120825)*a^(16) + (32168)/(164833)*a^(14) - (44689259)/(20604125)*a^(12) + (63970089)/(4120825)*a^(10) - (57145796)/(824165)*a^(8) + (29561843)/(164833)*a^(6) - (37549975)/(164833)*a^(4) + (14833725)/(164833)*a^(2) - (89)/(863) , (4)/(12877578125)*a^(29) - (116)/(2575515625)*a^(27) + (9)/(2575515625)*a^(26) + (1508)/(515103125)*a^(25) - (234)/(515103125)*a^(24) - (57993)/(515103125)*a^(23) + (2691)/(103020625)*a^(22) + (293319)/(103020625)*a^(21) - (450494)/(515103125)*a^(20) - (205114)/(4120825)*a^(19) + (389201)/(20604125)*a^(18) + (2536443)/(4120825)*a^(17) - (1135226)/(4120825)*a^(16) - (4463316)/(824165)*a^(15) + (454900)/(164833)*a^(14) + (5543564)/(164833)*a^(13) - (390357737)/(20604125)*a^(12) - (23768160)/(164833)*a^(11) + (359940994)/(4120825)*a^(10) + (1690517829)/(4120825)*a^(9) - (213869298)/(824165)*a^(8) - (597639211)/(824165)*a^(7) + (380600704)/(824165)*a^(6) + (117282633)/(164833)*a^(5) - (70949829)/(164833)*a^(4) - (50900793)/(164833)*a^(3) + (24810080)/(164833)*a^(2) + (5376920)/(164833)*a + (1187)/(863) , (1)/(12877578125)*a^(31) + (3)/(12877578125)*a^(30) - (151)/(12877578125)*a^(29) - (446)/(12877578125)*a^(28) + (2054)/(2575515625)*a^(27) + (5963)/(2575515625)*a^(26) - (16627)/(515103125)*a^(25) - (1894)/(20604125)*a^(24) + (3566)/(4120825)*a^(23) + (248446)/(103020625)*a^(22) - (333454)/(20604125)*a^(21) - (906752)/(20604125)*a^(20) + (892584)/(4120825)*a^(19) + (2359819)/(4120825)*a^(18) - (1726131)/(824165)*a^(17) - (4416702)/(824165)*a^(16) + (2405058)/(164833)*a^(15) + (5920590)/(164833)*a^(14) - (11902550)/(164833)*a^(13) - (27965340)/(164833)*a^(12) + (40730300)/(164833)*a^(11) + (90311650)/(164833)*a^(10) - (92212250)/(164833)*a^(9) - (189728500)/(164833)*a^(8) + (128732500)/(164833)*a^(7) + (239102500)/(164833)*a^(6) - (98612500)/(164833)*a^(5) - (785388943)/(824165)*a^(4) + (33361057)/(164833)*a^(3) + (40544694)/(164833)*a^(2) - (2254374)/(164833)*a + (713)/(863) , (3)/(12877578125)*a^(30) - (2)/(12877578125)*a^(29) - (446)/(12877578125)*a^(28) + (42)/(2575515625)*a^(27) + (5963)/(2575515625)*a^(26) - (333)/(515103125)*a^(25) - (236637)/(2575515625)*a^(24) + (4448)/(515103125)*a^(23) + (1239714)/(515103125)*a^(22) + (20456)/(103020625)*a^(21) - (22547732)/(515103125)*a^(20) - (1117084)/(103020625)*a^(19) + (58336286)/(103020625)*a^(18) + (23272049)/(103020625)*a^(17) - (108185558)/(20604125)*a^(16) - (57676018)/(20604125)*a^(15) + (715746556)/(20604125)*a^(14) + (462916412)/(20604125)*a^(13) - (3324784969)/(20604125)*a^(12) - (488980906)/(4120825)*a^(11) + (2107232657)/(4120825)*a^(10) + (1670008321)/(4120825)*a^(9) - (4352521524)/(4120825)*a^(8) - (703445522)/(824165)*a^(7) + (1090291367)/(824165)*a^(6) + (834932929)/(824165)*a^(5) - (730235218)/(824165)*a^(4) - (94114450)/(164833)*a^(3) + (39542272)/(164833)*a^(2) + (18075900)/(164833)*a + (287)/(863) , (4)/(2575515625)*a^(27) - (108)/(515103125)*a^(25) + (1296)/(103020625)*a^(23) - (3)/(515103125)*a^(22) - (9108)/(20604125)*a^(21) + (447)/(515103125)*a^(20) + (8316)/(824165)*a^(19) - (219)/(4120825)*a^(18) - (16160027)/(103020625)*a^(17) + (7344)/(4120825)*a^(16) + (6978659)/(4120825)*a^(15) - (5988)/(164833)*a^(14) - (52393753)/(4120825)*a^(13) + (9654259)/(20604125)*a^(12) + (53966174)/(824165)*a^(11) - (3161452)/(824165)*a^(10) - (37050145)/(164833)*a^(9) + (15957506)/(824165)*a^(8) + (80932470)/(164833)*a^(7) - (9276578)/(164833)*a^(6) - (523674693)/(824165)*a^(5) + (13655225)/(164833)*a^(4) + (70888215)/(164833)*a^(3) - (8034350)/(164833)*a^(2) - (19097950)/(164833)*a + (6113)/(863) , (18)/(12877578125)*a^(28) + (2)/(2575515625)*a^(27) - (504)/(2575515625)*a^(26) - (54)/(515103125)*a^(25) + (31476)/(2575515625)*a^(24) + (127)/(20604125)*a^(23) - (46261)/(103020625)*a^(22) - (851)/(4120825)*a^(21) + (1110584)/(103020625)*a^(20) + (445234)/(103020625)*a^(19) - (3658688)/(20604125)*a^(18) - (1194321)/(20604125)*a^(17) + (8450148)/(4120825)*a^(16) + (1999068)/(4120825)*a^(15) - (343320204)/(20604125)*a^(14) - (45758982)/(20604125)*a^(13) + (388005156)/(4120825)*a^(12) + (8408166)/(4120825)*a^(11) - (1480798273)/(4120825)*a^(10) + (130792938)/(4120825)*a^(9) + (3616779403)/(4120825)*a^(8) - (129801582)/(824165)*a^(7) - (1028730449)/(824165)*a^(6) + (45879095)/(164833)*a^(5) + (718736556)/(824165)*a^(4) - (25293875)/(164833)*a^(3) - (35610889)/(164833)*a^(2) + (1676592)/(164833)*a + (245)/(863) , (2)/(12877578125)*a^(30) + (2)/(2575515625)*a^(29) - (297)/(12877578125)*a^(28) - (294)/(2575515625)*a^(27) + (791)/(515103125)*a^(26) + (3878)/(515103125)*a^(25) - (155813)/(2575515625)*a^(24) - (151487)/(515103125)*a^(23) + (807247)/(515103125)*a^(22) + (3896961)/(515103125)*a^(21) - (578003)/(20604125)*a^(20) - (13886376)/(103020625)*a^(19) + (36563302)/(103020625)*a^(18) + (35089997)/(20604125)*a^(17) - (65735396)/(20604125)*a^(16) - (316530489)/(20604125)*a^(15) + (435919)/(21575)*a^(14) + (81008199)/(824165)*a^(13) - (363518077)/(4120825)*a^(12) - (1802608887)/(4120825)*a^(11) + (211322579)/(824165)*a^(10) + (5391978581)/(4120825)*a^(9) - (1955590121)/(4120825)*a^(8) - (2055827179)/(824165)*a^(7) + (89150529)/(164833)*a^(6) + (2307469753)/(824165)*a^(5) - (318069784)/(824165)*a^(4) - (269051181)/(164833)*a^(3) + (27278325)/(164833)*a^(2) + (62750332)/(164833)*a - (21595)/(863) , (2)/(2575515625)*a^(29) - (3)/(12877578125)*a^(28) - (293)/(2575515625)*a^(27) + (73)/(2575515625)*a^(26) + (19279)/(2575515625)*a^(25) - (148)/(103020625)*a^(24) - (30092)/(103020625)*a^(23) + (19277)/(515103125)*a^(22) + (774417)/(103020625)*a^(21) - (44769)/(103020625)*a^(20) - (13825429)/(103020625)*a^(19) - (51401)/(20604125)*a^(18) + (175320169)/(103020625)*a^(17) + (17558891)/(103020625)*a^(16) - (317923801)/(20604125)*a^(15) - (58912293)/(20604125)*a^(14) + (2046161818)/(20604125)*a^(13) + (111162132)/(4120825)*a^(12) - (365960928)/(824165)*a^(11) - (650927936)/(4120825)*a^(10) + (1092554711)/(824165)*a^(9) + (472994207)/(824165)*a^(8) - (2034529163)/(824165)*a^(7) - (1010327878)/(824165)*a^(6) + (2089876929)/(824165)*a^(5) + (1117664689)/(824165)*a^(4) - (181640596)/(164833)*a^(3) - (92144331)/(164833)*a^(2) + (14802740)/(164833)*a + (6225)/(863) , (2)/(12877578125)*a^(31) + (1)/(12877578125)*a^(30) - (62)/(2575515625)*a^(29) - (6)/(515103125)*a^(28) + (868)/(515103125)*a^(27) + (81)/(103020625)*a^(26) - (181374)/(2575515625)*a^(25) - (16257)/(515103125)*a^(24) + (1008141)/(515103125)*a^(23) + (432207)/(515103125)*a^(22) - (19645259)/(515103125)*a^(21) - (8026353)/(515103125)*a^(20) + (11031806)/(20604125)*a^(19) + (21416272)/(103020625)*a^(18) - (564470261)/(103020625)*a^(17) - (208100689)/(103020625)*a^(16) + (842692039)/(20604125)*a^(15) + (295665243)/(20604125)*a^(14) - (4546638182)/(20604125)*a^(13) - (1527133151)/(20604125)*a^(12) + (3478024954)/(4120825)*a^(11) + (1126690542)/(4120825)*a^(10) - 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