/* 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^22 + 20*x^20 + 23*x^18 - 1803*x^16 - 11277*x^14 + 9556*x^12 + 233427*x^10 + 487030*x^8 + 5525*x^6 - 102953*x^4 - 17397*x^2 - 729, 22, 39, [6, 8], 4129233136056857981979443884256982828952059904, [2, 74843], [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, 1/3*a^15 + 1/3*a^11 + 1/3*a^9 + 1/3*a, 1/3*a^16 + 1/3*a^12 + 1/3*a^10 + 1/3*a^2, 1/3*a^17 + 1/3*a^13 + 1/3*a^11 + 1/3*a^3, 1/9*a^18 + 1/9*a^16 + 4/9*a^14 + 2/9*a^12 - 2/9*a^10 + 1/3*a^6 + 1/9*a^4 - 2/9*a^2, 1/9*a^19 + 1/9*a^17 + 1/9*a^15 + 2/9*a^13 + 4/9*a^11 - 1/3*a^9 + 1/3*a^7 + 1/9*a^5 - 2/9*a^3 - 1/3*a, 1/75510647424343357046721*a^20 - 647677397381850413890/75510647424343357046721*a^18 - 4012186170774637531816/75510647424343357046721*a^16 - 6238612198268603150434/25170215808114452348907*a^14 - 5480221341300682475866/25170215808114452348907*a^12 + 7159322397544094378317/75510647424343357046721*a^10 + 2634083828028523450633/25170215808114452348907*a^8 - 21873193676613026045591/75510647424343357046721*a^6 - 6170184733410268327891/75510647424343357046721*a^4 - 4125667257675220047242/75510647424343357046721*a^2 + 3448293178494346064996/8390071936038150782969, 1/679595826819090213420489*a^21 - 647677397381850413890/679595826819090213420489*a^19 - 29182401978889089880723/679595826819090213420489*a^17 + 18931603609845849198473/226531942273030071140163*a^15 + 28936856651706325378931/75510647424343357046721*a^13 - 244542835683600429110753/679595826819090213420489*a^11 + 2634083828028523450633/226531942273030071140163*a^9 + 280169396020760402141293/679595826819090213420489*a^7 - 6170184733410268327891/679595826819090213420489*a^5 - 255827825338819743536312/679595826819090213420489*a^3 + 28618508986608798413903/75510647424343357046721*a], 0, 1, [], 1, [ (7528018464337536562)/(75510647424343357046721)*a^(20) + (163184034010010874862)/(75510647424343357046721)*a^(18) + (337654585955981855470)/(75510647424343357046721)*a^(16) - (14462350531122012359482)/(75510647424343357046721)*a^(14) - (101965772540119444292099)/(75510647424343357046721)*a^(12) + (16598587183216710736214)/(25170215808114452348907)*a^(10) + (693691462478285225169361)/(25170215808114452348907)*a^(8) + (4526659695016239222136603)/(75510647424343357046721)*a^(6) - (385730077443857232433280)/(75510647424343357046721)*a^(4) - (626142154283102318359513)/(25170215808114452348907)*a^(2) - (18886981898344410985498)/(8390071936038150782969) , (448590695842531495816)/(75510647424343357046721)*a^(20) + (8926968159332879003572)/(75510647424343357046721)*a^(18) + (9393917416211146261432)/(75510647424343357046721)*a^(16) - (810162254504129825007277)/(75510647424343357046721)*a^(14) - (4975689869607382857708746)/(75510647424343357046721)*a^(12) + (1608834408981952108496656)/(25170215808114452348907)*a^(10) + (34765801999442544104102074)/(25170215808114452348907)*a^(8) + (207300432138677106334474822)/(75510647424343357046721)*a^(6) - (20495582764237838704651190)/(75510647424343357046721)*a^(4) - (14734947600868862288312726)/(25170215808114452348907)*a^(2) - (308856433344669480635903)/(8390071936038150782969) , (604766174486430604802)/(679595826819090213420489)*a^(21) + (11949381768770070806377)/(679595826819090213420489)*a^(19) + (10947333146632153514278)/(679595826819090213420489)*a^(17) - (364670184451807568957468)/(226531942273030071140163)*a^(15) - (727725885101446471573181)/(75510647424343357046721)*a^(13) + (7463685582556099368790067)/(679595826819090213420489)*a^(11) + (46470001848226018987094696)/(226531942273030071140163)*a^(9) + (258688488850494185669016341)/(679595826819090213420489)*a^(7) - (62288414670187316252478614)/(679595826819090213420489)*a^(5) - (39756647646037413235251163)/(679595826819090213420489)*a^(3) - (379850837076113627542919)/(75510647424343357046721)*a , (2520568089023234795353)/(679595826819090213420489)*a^(21) + (50023766210970868527944)/(679595826819090213420489)*a^(19) + (50820157313082039270065)/(679595826819090213420489)*a^(17) - (1515109371149676583378579)/(226531942273030071140163)*a^(15) - (1028252297076134095589870)/(25170215808114452348907)*a^(13) + (27626654340090495766139047)/(679595826819090213420489)*a^(11) + (194374296561344842180470334)/(226531942273030071140163)*a^(9) + (1151346924994041572735905969)/(679595826819090213420489)*a^(7) - (127084394567482605604132669)/(679595826819090213420489)*a^(5) - (249754794744587849745150422)/(679595826819090213420489)*a^(3) - (1813611092569782846995674)/(75510647424343357046721)*a , (2265768229897096664192)/(679595826819090213420489)*a^(21) + (45161954413738594167634)/(679595826819090213420489)*a^(19) + (48930942782560036726165)/(679595826819090213420489)*a^(17) - (1363299132285895754890115)/(226531942273030071140163)*a^(15) - (2806943528159841416428199)/(75510647424343357046721)*a^(13) + (23516875176317024744845658)/(679595826819090213420489)*a^(11) + (175738793879690781684477161)/(226531942273030071140163)*a^(9) + (1064064735637640951057233187)/(679595826819090213420489)*a^(7) - (62656493036024729186976554)/(679595826819090213420489)*a^(5) - (208115848214918120056258672)/(679595826819090213420489)*a^(3) - (1625659936091257662763655)/(75510647424343357046721)*a , (167449637759793920816)/(75510647424343357046721)*a^(20) + (3333681851220343343530)/(75510647424343357046721)*a^(18) + (3549010816059575639152)/(75510647424343357046721)*a^(16) - (100736122906011123901205)/(25170215808114452348907)*a^(14) - (620307954412497558307417)/(25170215808114452348907)*a^(12) + (1767312497444503970428205)/(75510647424343357046721)*a^(10) + (12975464806499403551679596)/(25170215808114452348907)*a^(8) + (78059412679606585272950960)/(75510647424343357046721)*a^(6) - (6125193117161725385794370)/(75510647424343357046721)*a^(4) - (16859776269481798129925566)/(75510647424343357046721)*a^(2) - (142820901797813575481008)/(8390071936038150782969) , (63976610148936883115)/(75510647424343357046721)*a^(20) + (1263567666876231804989)/(75510647424343357046721)*a^(18) + (1196588447916788740559)/(75510647424343357046721)*a^(16) - (115069715255508394836968)/(75510647424343357046721)*a^(14) - (695073149275896547919233)/(75510647424343357046721)*a^(12) + (241802204285960713241839)/(25170215808114452348907)*a^(10) + (4876693357373555247484865)/(25170215808114452348907)*a^(8) + (28562379988110190617104222)/(75510647424343357046721)*a^(6) - (3206239229657393858357110)/(75510647424343357046721)*a^(4) - (1920929027301010025627378)/(25170215808114452348907)*a^(2) - (45807539513324364065996)/(8390071936038150782969) , (1090655446143558497464)/(679595826819090213420489)*a^(21) + (21778912789092737327387)/(679595826819090213420489)*a^(19) + (23926673834396291932565)/(679595826819090213420489)*a^(17) - (657875898938688076216351)/(226531942273030071140163)*a^(15) - (1356374810793018468069199)/(75510647424343357046721)*a^(13) + (11458700356226847738472465)/(679595826819090213420489)*a^(11) + (85134208792297643843644831)/(226531942273030071140163)*a^(9) + (511925812126161203757067321)/(679595826819090213420489)*a^(7) - (47230895873366430296184874)/(679595826819090213420489)*a^(5) - (118881267143010272729309639)/(679595826819090213420489)*a^(3) - (258732182751186984557215)/(75510647424343357046721)*a , (73330486030655397605)/(75510647424343357046721)*a^(20) + (1465107126017732695340)/(75510647424343357046721)*a^(18) + (1673877232767945857534)/(75510647424343357046721)*a^(16) - (132047173593009169068977)/(75510647424343357046721)*a^(14) - (825742082943483814013587)/(75510647424343357046721)*a^(12) + (77356357640925705705159)/(8390071936038150782969)*a^(10) + (5700845785905275330573699)/(25170215808114452348907)*a^(8) + (35819431481260639403688845)/(75510647424343357046721)*a^(6) + (222160181157531942238757)/(75510647424343357046721)*a^(4) - (1018152707204930709134812)/(8390071936038150782969)*a^(2) - (64530369158056580890583)/(8390071936038150782969) , (913187501744027809451)/(679595826819090213420489)*a^(21) + (18232399209283967258335)/(679595826819090213420489)*a^(19) + (20430633146608563836695)/(679595826819090213420489)*a^(17) - (548907942244297196036801)/(226531942273030071140163)*a^(15) - (126520362835484363199798)/(8390071936038150782969)*a^(13) + (9025165364736934521096704)/(679595826819090213420489)*a^(11) + (71020843946293702619911457)/(226531942273030071140163)*a^(9) + (439001353185064644055875437)/(679595826819090213420489)*a^(7) - (12233267548331344406496077)/(679595826819090213420489)*a^(5) - (106803803377986103150597918)/(679595826819090213420489)*a^(3) - (850762608466130678668727)/(75510647424343357046721)*a , (680241384392674156038964745)/(679595826819090213420489)*a^(21) - (54222241515118224591620839)/(75510647424343357046721)*a^(20) + (13909295579883560495505926602)/(679595826819090213420489)*a^(19) - (372092168408416160859041656)/(25170215808114452348907)*a^(18) + (21769622290756167941890645771)/(679595826819090213420489)*a^(17) - (214035304975482540260916099)/(8390071936038150782969)*a^(16) - (406432500978383715167757462587)/(226531942273030071140163)*a^(15) + (96028279286805548656373106887)/(75510647424343357046721)*a^(14) - (304905293362035765340325138263)/(25170215808114452348907)*a^(13) + (664163317210779703579732692829)/(75510647424343357046721)*a^(12) + (2922338068456078102519757696411)/(679595826819090213420489)*a^(11) - (103181832960330487258448876156)/(75510647424343357046721)*a^(10) + (53945538928904776278596052038702)/(226531942273030071140163)*a^(9) - (4102682257923241022097170328784)/(25170215808114452348907)*a^(8) + (411682083277723882233879928517951)/(679595826819090213420489)*a^(7) - (31764885767888543788393373656285)/(75510647424343357046721)*a^(6) + (202125523428184525198927205109481)/(679595826819090213420489)*a^(5) - (1736856646757975221073255448297)/(8390071936038150782969)*a^(4) + (26877889072745839165701479689973)/(679595826819090213420489)*a^(3) - (2079879521979549221959751211947)/(75510647424343357046721)*a^(2) + (115127470275402834674535558190)/(75510647424343357046721)*a - (8911002625208132136433313743)/(8390071936038150782969) , (128047571452828776084552141729948941833793)/(75510647424343357046721)*a^(21) + (88657880151102296051306259925762038082010)/(75510647424343357046721)*a^(20) + (2621970838937650898927275541138208387046576)/(75510647424343357046721)*a^(19) + (1814353041726941730315828292401046530083855)/(75510647424343357046721)*a^(18) + (4191526816730220663285793765705855527261790)/(75510647424343357046721)*a^(17) + (2875533131720096851938933015506557514920193)/(75510647424343357046721)*a^(16) - (76316326040511085049562620438648336605950407)/(25170215808114452348907)*a^(15) - (158681961730619496785995527257194478790269729)/(75510647424343357046721)*a^(14) - (517853632667395249176146098142004656853642014)/(25170215808114452348907)*a^(13) - (1074548305653080429619195259246098351639554938)/(75510647424343357046721)*a^(12) + (486489645260671604906335865174251619760168227)/(75510647424343357046721)*a^(11) + (118308190176198507095812845447970479344060536)/(25170215808114452348907)*a^(10) + (10057894237171020812260156469447299535764807628)/(25170215808114452348907)*a^(9) + (6991410314039886285032643030806881728831705713)/(25170215808114452348907)*a^(8) + (76979497670701091138080030934366947219421862656)/(75510647424343357046721)*a^(7) + (53445629336938447144438260326707661521326945293)/(75510647424343357046721)*a^(6) + (37812620994259182341233217436445037104274547895)/(75510647424343357046721)*a^(5) + (26247651866903520519572685070404042551180384753)/(75510647424343357046721)*a^(4) + (5028786706503780409540940796299444264938616279)/(75510647424343357046721)*a^(3) + (1163520783943961594124074417350499304953111839)/(25170215808114452348907)*a^(2) + (21541137784370908604386687355116675598187565)/(8390071936038150782969)*a + (14951754185407839392447224508267039769549841)/(8390071936038150782969) , (275234294041289637653419128757127211172776819286997024373119)/(679595826819090213420489)*a^(21) - (91639822362621743071451299696948014114555377043120013952276)/(75510647424343357046721)*a^(20) + (7976130883072352150614786677799376047588820184178248480657055)/(679595826819090213420489)*a^(19) - (2655669126595645559679695104445571163351645180432790552503858)/(75510647424343357046721)*a^(18) + (77951437574827030225085978463055432880233580241197558283163483)/(679595826819090213420489)*a^(17) - (25954090921524096508019472099035834087028965714940840704544883)/(75510647424343357046721)*a^(16) + (67903819117897843225623155901187109223332210473286093950335877)/(226531942273030071140163)*a^(15) - (7536238587064253389634014609046727807703000167968207547311300)/(8390071936038150782969)*a^(14) - (47207625850383107804652877023946746145577134512765086113745534)/(25170215808114452348907)*a^(13) + (141460882116468096617789384151650184186897111167550592788615481)/(25170215808114452348907)*a^(12) - (8815085916572279117402922662828026908032854732494989058901164646)/(679595826819090213420489)*a^(11) + (2935000924646708186418483871682757252063324321758320301229063709)/(75510647424343357046721)*a^(10) - (4969088309723372066384946794884962608052838996664924254741713646)/(226531942273030071140163)*a^(9) + (1654468138112211991077794146384069525837808231103452264807729980)/(25170215808114452348907)*a^(8) + (188728673907306451464005039834747078952438882654069655530456083)/(679595826819090213420489)*a^(7) - (62837598824020812249479448403054195025934452691975316598523275)/(75510647424343357046721)*a^(6) + (3215343968297712051035063532086075473303682943049983800494483573)/(679595826819090213420489)*a^(5) - (1070555364896690930442913185678810844597520905159572161321062060)/(75510647424343357046721)*a^(4) + (535735577781538406548615925039284829284904291000857755534529979)/(679595826819090213420489)*a^(3) - (178374258746476324364095395822214685182848912820650995779633781)/(75510647424343357046721)*a^(2) + (2482785269488760701318866512493465420335211268742577796443784)/(75510647424343357046721)*a - (826648444565912367755224038324414163368199228514432982371514)/(8390071936038150782969) ], 592781130464000, [[x^11 - 4*x^10 - 25*x^9 + 81*x^8 + 237*x^7 - 562*x^6 - 1010*x^5 + 1574*x^4 + 1805*x^3 - 1586*x^2 - 847*x + 579, 1]]]