/* 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^21 - 5*x^20 + 36*x^18 - 35*x^17 - 108*x^16 + 155*x^15 + 176*x^14 - 338*x^13 - 129*x^12 + 413*x^11 - 50*x^10 - 234*x^9 + 162*x^8 - 66*x^7 - 51*x^6 + 196*x^5 - 92*x^4 - 98*x^3 + 71*x^2 - 10*x - 25, 21, 139, [3, 9], -930871627030827422699634607, [151, 2377, 193327], [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, a^19, 1/31611315156120845*a^20 + 3027021604709831/6322263031224169*a^19 - 675572653912125/6322263031224169*a^18 - 415828590046484/31611315156120845*a^17 - 2394345754984447/6322263031224169*a^16 - 14980437414730693/31611315156120845*a^15 - 2501020304500627/6322263031224169*a^14 - 10209587317887304/31611315156120845*a^13 - 11260818860512708/31611315156120845*a^12 + 14011863116583161/31611315156120845*a^11 + 1765179419105108/31611315156120845*a^10 + 3120221806173449/6322263031224169*a^9 - 4052385843298584/31611315156120845*a^8 + 9442402562604492/31611315156120845*a^7 - 862564901763526/31611315156120845*a^6 + 3533829727855264/31611315156120845*a^5 + 8427108859970546/31611315156120845*a^4 - 12485881512056727/31611315156120845*a^3 + 4738508328409727/31611315156120845*a^2 - 8455984873708459/31611315156120845*a - 2460273975443187/6322263031224169], 0, 1, [], 1, [ (843566600567584)/(31611315156120845)*a^(20) - (1086480511914817)/(6322263031224169)*a^(19) + (1457531404089288)/(6322263031224169)*a^(18) + (23001524091472289)/(31611315156120845)*a^(17) - (12980096219010071)/(6322263031224169)*a^(16) - (14150320057241642)/(31611315156120845)*a^(15) + (35315434994909504)/(6322263031224169)*a^(14) - (74721788873632496)/(31611315156120845)*a^(13) - (245513255443922502)/(31611315156120845)*a^(12) + (221732609059161729)/(31611315156120845)*a^(11) + (118557011713268587)/(31611315156120845)*a^(10) - (47702581705354921)/(6322263031224169)*a^(9) + (102709935503465514)/(31611315156120845)*a^(8) + (41439018257848973)/(31611315156120845)*a^(7) - (143514598514539489)/(31611315156120845)*a^(6) + (160061505037507301)/(31611315156120845)*a^(5) - (10069055113791651)/(31611315156120845)*a^(4) - (90493792410595223)/(31611315156120845)*a^(3) + (46981062404549118)/(31611315156120845)*a^(2) - (37449903829590116)/(31611315156120845)*a + (406447241246465)/(6322263031224169) , (1878821432112624)/(31611315156120845)*a^(20) - (2109197978545106)/(6322263031224169)*a^(19) + (1633723777163600)/(6322263031224169)*a^(18) + (53768607053213224)/(31611315156120845)*a^(17) - (18873772973901386)/(6322263031224169)*a^(16) - (95251950394115122)/(31611315156120845)*a^(15) + (55239034659458372)/(6322263031224169)*a^(14) + (58183604497321854)/(31611315156120845)*a^(13) - (424345886268488727)/(31611315156120845)*a^(12) + (103834953495875724)/(31611315156120845)*a^(11) + (271190913112904067)/(31611315156120845)*a^(10) - (36180990761259057)/(6322263031224169)*a^(9) + (83015973409146424)/(31611315156120845)*a^(8) + (20057360305724888)/(31611315156120845)*a^(7) - (245211959461249884)/(31611315156120845)*a^(6) + (200614770661600721)/(31611315156120845)*a^(5) + (72409712197307899)/(31611315156120845)*a^(4) - (122335783065101313)/(31611315156120845)*a^(3) + (31704776666588308)/(31611315156120845)*a^(2) - (37418636893304711)/(31611315156120845)*a + (947165853567379)/(6322263031224169) , (2756466680815928)/(31611315156120845)*a^(20) - (2962803922490866)/(6322263031224169)*a^(19) + (1678924340843836)/(6322263031224169)*a^(18) + (82729028601207308)/(31611315156120845)*a^(17) - (25467585485898131)/(6322263031224169)*a^(16) - (166880803535411274)/(31611315156120845)*a^(15) + (82596816179520436)/(6322263031224169)*a^(14) + (124603887159161058)/(31611315156120845)*a^(13) - (694401431167291449)/(31611315156120845)*a^(12) + (159047370191556968)/(31611315156120845)*a^(11) + (556825060272667609)/(31611315156120845)*a^(10) - (77726933350039153)/(6322263031224169)*a^(9) - (10452106004183357)/(31611315156120845)*a^(8) + (178911975696772436)/(31611315156120845)*a^(7) - (355327877243584418)/(31611315156120845)*a^(6) + (261386560441230257)/(31611315156120845)*a^(5) + (173996564021322648)/(31611315156120845)*a^(4) - (280036229669599221)/(31611315156120845)*a^(3) + (49801172640905806)/(31611315156120845)*a^(2) + (23884026314059483)/(31611315156120845)*a - (2227683107486567)/(6322263031224169) , (2117959394899591)/(31611315156120845)*a^(20) - (2371725267112067)/(6322263031224169)*a^(19) + (1602099691409371)/(6322263031224169)*a^(18) + (66829365276968336)/(31611315156120845)*a^(17) - (22621892107843497)/(6322263031224169)*a^(16) - (131517692174881398)/(31611315156120845)*a^(15) + (74683372019078296)/(6322263031224169)*a^(14) + (73254087006409146)/(31611315156120845)*a^(13) - (636031616413438613)/(31611315156120845)*a^(12) + (209594222316961841)/(31611315156120845)*a^(11) + (522585565431729988)/(31611315156120845)*a^(10) - (91742839408429022)/(6322263031224169)*a^(9) - (10278225159647994)/(31611315156120845)*a^(8) + (273680493288515957)/(31611315156120845)*a^(7) - (358469404228696576)/(31611315156120845)*a^(6) + (202621745054731874)/(31611315156120845)*a^(5) + (208451449357086521)/(31611315156120845)*a^(4) - (292358773055926727)/(31611315156120845)*a^(3) + (69268454539434777)/(31611315156120845)*a^(2) + (18979260392735306)/(31611315156120845)*a - (12879444308417423)/(6322263031224169) , (1274392794332007)/(31611315156120845)*a^(20) - (1285244755197250)/(6322263031224169)*a^(19) + (144568287320083)/(6322263031224169)*a^(18) + (43827841185496047)/(31611315156120845)*a^(17) - (9641795888833426)/(6322263031224169)*a^(16) - (117367372117639756)/(31611315156120845)*a^(15) + (39367937024168792)/(6322263031224169)*a^(14) + (147975875880041642)/(31611315156120845)*a^(13) - (390518360969516111)/(31611315156120845)*a^(12) - (12138386742199888)/(31611315156120845)*a^(11) + (404028553718461401)/(31611315156120845)*a^(10) - (44040257703074101)/(6322263031224169)*a^(9) - (112988160663113508)/(31611315156120845)*a^(8) + (232241475030666984)/(31611315156120845)*a^(7) - (214954805714157087)/(31611315156120845)*a^(6) + (42560240017224573)/(31611315156120845)*a^(5) + (218520504470878172)/(31611315156120845)*a^(4) - (201864980645331504)/(31611315156120845)*a^(3) + (22287392134885659)/(31611315156120845)*a^(2) + (88040479378446267)/(31611315156120845)*a - (19608154580888057)/(6322263031224169) , (2592876389037842)/(31611315156120845)*a^(20) - (2922128767677024)/(6322263031224169)*a^(19) + (2085566955121624)/(6322263031224169)*a^(18) + (79607630273573237)/(31611315156120845)*a^(17) - (26884788231124625)/(6322263031224169)*a^(16) - (155419716950212521)/(31611315156120845)*a^(15) + (84163750025677385)/(6322263031224169)*a^(14) + (112820504994347147)/(31611315156120845)*a^(13) - (685185364159832386)/(31611315156120845)*a^(12) + (146963730541503052)/(31611315156120845)*a^(11) + (514717662372555331)/(31611315156120845)*a^(10) - (68687384625052487)/(6322263031224169)*a^(9) + (27862312682776182)/(31611315156120845)*a^(8) + (128285857226686739)/(31611315156120845)*a^(7) - (346716332847082202)/(31611315156120845)*a^(6) + (299723627301119368)/(31611315156120845)*a^(5) + (153213560927116637)/(31611315156120845)*a^(4) - (278072675006985724)/(31611315156120845)*a^(3) + (61919443240022919)/(31611315156120845)*a^(2) + (60953737915557)/(31611315156120845)*a - (7990216851003820)/(6322263031224169) , (3127550590847856)/(31611315156120845)*a^(20) - (3716150680127799)/(6322263031224169)*a^(19) + (3459253005419056)/(6322263031224169)*a^(18) + (98057716517663246)/(31611315156120845)*a^(17) - (40668413409946208)/(6322263031224169)*a^(16) - (160906142259049533)/(31611315156120845)*a^(15) + (131577253436616987)/(6322263031224169)*a^(14) - (17322531933483424)/(31611315156120845)*a^(13) - (1123864484645179168)/(31611315156120845)*a^(12) + (548025174975827591)/(31611315156120845)*a^(11) + (931283983733078853)/(31611315156120845)*a^(10) - (180514479070438288)/(6322263031224169)*a^(9) - (28044391809662569)/(31611315156120845)*a^(8) + (473733069128129107)/(31611315156120845)*a^(7) - (625677330106118186)/(31611315156120845)*a^(6) + (373870114659742809)/(31611315156120845)*a^(5) + (337729197578940951)/(31611315156120845)*a^(4) - (527234979426329382)/(31611315156120845)*a^(3) + (92225106013871177)/(31611315156120845)*a^(2) + (121200361025980776)/(31611315156120845)*a - (16611039812672768)/(6322263031224169) , (441720977832241)/(31611315156120845)*a^(20) - (303552185141316)/(6322263031224169)*a^(19) - (252316338913383)/(6322263031224169)*a^(18) + (5810001884598406)/(31611315156120845)*a^(17) + (1821999260810795)/(6322263031224169)*a^(16) - (13137110086434488)/(31611315156120845)*a^(15) - (9792025388855684)/(6322263031224169)*a^(14) + (42961966571774896)/(31611315156120845)*a^(13) + (98802766994111997)/(31611315156120845)*a^(12) - (88634561713927404)/(31611315156120845)*a^(11) - (93945337355230837)/(31611315156120845)*a^(10) + (27535164929640842)/(6322263031224169)*a^(9) - (15498767903019184)/(31611315156120845)*a^(8) - (97597760335433588)/(31611315156120845)*a^(7) + (94955509624496309)/(31611315156120845)*a^(6) - (45514781241542796)/(31611315156120845)*a^(5) - (54770370647007774)/(31611315156120845)*a^(4) + (95127444373583978)/(31611315156120845)*a^(3) - (4534670353358203)/(31611315156120845)*a^(2) + (5099130131668791)/(31611315156120845)*a + (8825055466490462)/(6322263031224169) , (246079426735426)/(31611315156120845)*a^(20) - (364329961630490)/(6322263031224169)*a^(19) + (658672406448723)/(6322263031224169)*a^(18) + (6151169538930591)/(31611315156120845)*a^(17) - (4948085386254341)/(6322263031224169)*a^(16) + (3953268368430032)/(31611315156120845)*a^(15) + (12855057773792494)/(6322263031224169)*a^(14) - (50864071184562014)/(31611315156120845)*a^(13) - (91135831420728058)/(31611315156120845)*a^(12) + (136318108695389136)/(31611315156120845)*a^(11) + (52368255083592323)/(31611315156120845)*a^(10) - (35775473452905357)/(6322263031224169)*a^(9) + (7525945663657386)/(31611315156120845)*a^(8) + (111991904596780072)/(31611315156120845)*a^(7) - (34545326202998201)/(31611315156120845)*a^(6) + (47727389801288759)/(31611315156120845)*a^(5) + (4212997134586536)/(31611315156120845)*a^(4) - (99550274205059072)/(31611315156120845)*a^(3) + (8822193938147047)/(31611315156120845)*a^(2) + (45602668154844296)/(31611315156120845)*a - (7613214116835741)/(6322263031224169) , (97087133927973)/(6322263031224169)*a^(20) - (640865659788226)/(6322263031224169)*a^(19) + (659632909123285)/(6322263031224169)*a^(18) + (3877411873227439)/(6322263031224169)*a^(17) - (7949012952758392)/(6322263031224169)*a^(16) - (9598113194008832)/(6322263031224169)*a^(15) + (29384505868549376)/(6322263031224169)*a^(14) + (14010573059605903)/(6322263031224169)*a^(13) - (61651850050619132)/(6322263031224169)*a^(12) - (11523745025124647)/(6322263031224169)*a^(11) + (76080762501425417)/(6322263031224169)*a^(10) + (4787860964073454)/(6322263031224169)*a^(9) - (47321589535935382)/(6322263031224169)*a^(8) - (1358833882794104)/(6322263031224169)*a^(7) - (2482481763915577)/(6322263031224169)*a^(6) + (7049404385307066)/(6322263031224169)*a^(5) + (26480486183397106)/(6322263031224169)*a^(4) - (13483413227991365)/(6322263031224169)*a^(3) - (19946200166890570)/(6322263031224169)*a^(2) + (7768674226100467)/(6322263031224169)*a + (8016812772814302)/(6322263031224169) , (244958044393960)/(6322263031224169)*a^(20) - (748911240748567)/(6322263031224169)*a^(19) - (2812694262770089)/(6322263031224169)*a^(18) + (10862845265470453)/(6322263031224169)*a^(17) + (8406770984431973)/(6322263031224169)*a^(16) - (55071262493440836)/(6322263031224169)*a^(15) - (2511069541624210)/(6322263031224169)*a^(14) + (143923041569876926)/(6322263031224169)*a^(13) - (32231872241706483)/(6322263031224169)*a^(12) - (222423967594480709)/(6322263031224169)*a^(11) + (83998129910058687)/(6322263031224169)*a^(10) + (184608843534996503)/(6322263031224169)*a^(9) - (91043637271206780)/(6322263031224169)*a^(8) - (37790076733636234)/(6322263031224169)*a^(7) + (14555514847213622)/(6322263031224169)*a^(6) - (65853628491742558)/(6322263031224169)*a^(5) + (80249079030645279)/(6322263031224169)*a^(4) + (56392161260906697)/(6322263031224169)*a^(3) - (75539129051448110)/(6322263031224169)*a^(2) - (20532777484580268)/(6322263031224169)*a + (7360113066633837)/(6322263031224169) ], 99654.8309357, [[x^7 - x^6 + 2*x^4 - 2*x^3 + 2*x - 1, 1]]]