/* 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 - 4*x^20 + 8*x^19 - 12*x^18 + 12*x^17 - 16*x^16 + 44*x^15 - 94*x^14 + 160*x^13 - 200*x^12 + 184*x^11 - 132*x^10 + 52*x^9 - 8*x^7 + 4*x^6 + 16*x^4 - 36*x^3 + 32*x^2 - 16*x + 4, 21, 27, [3, 9], -20735011601517857380131405824, [2, 11, 317], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/2*a^11, 1/2*a^12, 1/2*a^13, 1/2*a^14, 1/2*a^15, 1/2*a^16, 1/2*a^17, 1/2*a^18, 1/2*a^19, 1/184199525122*a^20 - 19449544574/92099762561*a^19 - 8681013010/92099762561*a^18 - 7731714081/184199525122*a^17 - 13637691330/92099762561*a^16 + 5944679667/92099762561*a^15 - 23971240947/184199525122*a^14 + 3866440491/92099762561*a^13 + 4616174469/92099762561*a^12 + 6256310464/92099762561*a^11 - 40232710432/92099762561*a^10 + 31275334049/92099762561*a^9 - 45218409066/92099762561*a^8 + 25890848273/92099762561*a^7 - 45971900466/92099762561*a^6 + 20590808210/92099762561*a^5 - 11220897325/92099762561*a^4 + 10753877908/92099762561*a^3 + 18226363094/92099762561*a^2 - 23402472648/92099762561*a - 883829038/92099762561], 0, 1, [], 1, [ (115682488833)/(184199525122)*a^(20) - (167680603401)/(92099762561)*a^(19) + (276182824408)/(92099762561)*a^(18) - (399929726013)/(92099762561)*a^(17) + (283344143778)/(92099762561)*a^(16) - (647826004742)/(92099762561)*a^(15) + (3763359732679)/(184199525122)*a^(14) - (3358853340608)/(92099762561)*a^(13) + (5608659088822)/(92099762561)*a^(12) - (5706783431448)/(92099762561)*a^(11) + (4801758210004)/(92099762561)*a^(10) - (3076517830208)/(92099762561)*a^(9) + (129572117790)/(92099762561)*a^(8) - (15466631874)/(92099762561)*a^(7) - (516718983102)/(92099762561)*a^(6) + (145224817106)/(92099762561)*a^(5) + (12524009836)/(92099762561)*a^(4) + (975320597064)/(92099762561)*a^(3) - (1069325898224)/(92099762561)*a^(2) + (683612304696)/(92099762561)*a - (364520838409)/(92099762561) , (126662348989)/(92099762561)*a^(20) - (412140714893)/(92099762561)*a^(19) + (1409726591669)/(184199525122)*a^(18) - (1973071337349)/(184199525122)*a^(17) + (771951777111)/(92099762561)*a^(16) - (1445509849090)/(92099762561)*a^(15) + (4494955552146)/(92099762561)*a^(14) - (8559848136588)/(92099762561)*a^(13) + (13822746547260)/(92099762561)*a^(12) - (14865366463190)/(92099762561)*a^(11) + (12098751984944)/(92099762561)*a^(10) - (7626196942979)/(92099762561)*a^(9) + (984551077936)/(92099762561)*a^(8) + (562871293524)/(92099762561)*a^(7) - (462147151916)/(92099762561)*a^(6) - (69673604512)/(92099762561)*a^(5) + (26205969738)/(92099762561)*a^(4) + (2069964962015)/(92099762561)*a^(3) - (2926427762480)/(92099762561)*a^(2) + (1792180474108)/(92099762561)*a - (625140777407)/(92099762561) , (108749721201)/(92099762561)*a^(20) - (355929369905)/(92099762561)*a^(19) + (1212113761249)/(184199525122)*a^(18) - (1689357266973)/(184199525122)*a^(17) + (655131787164)/(92099762561)*a^(16) - (2438261871017)/(184199525122)*a^(15) + (3865179344592)/(92099762561)*a^(14) - (7358174434277)/(92099762561)*a^(13) + (23700319468503)/(184199525122)*a^(12) - (12700068761811)/(92099762561)*a^(11) + (10126227974596)/(92099762561)*a^(10) - (6320149985254)/(92099762561)*a^(9) + (568664721559)/(92099762561)*a^(8) + (653224247024)/(92099762561)*a^(7) - (435624434465)/(92099762561)*a^(6) + (68372937928)/(92099762561)*a^(5) - (22721508988)/(92099762561)*a^(4) + (1845078461087)/(92099762561)*a^(3) - (2546850515646)/(92099762561)*a^(2) + (1503514667710)/(92099762561)*a - (483054532119)/(92099762561) , (233182354285)/(92099762561)*a^(20) - (760948113755)/(92099762561)*a^(19) + (1297411045876)/(92099762561)*a^(18) - (3613321222379)/(184199525122)*a^(17) + (1398946750690)/(92099762561)*a^(16) - (2616849588176)/(92099762561)*a^(15) + (8258390785024)/(92099762561)*a^(14) - (15751753767589)/(92099762561)*a^(13) + (50714162383693)/(184199525122)*a^(12) - (27127837218672)/(92099762561)*a^(11) + (21713027218998)/(92099762561)*a^(10) - (13409762463422)/(92099762561)*a^(9) + (1248760337702)/(92099762561)*a^(8) + (1396167315296)/(92099762561)*a^(7) - (1015344059509)/(92099762561)*a^(6) + (103540618640)/(92099762561)*a^(5) - (151013810296)/(92099762561)*a^(4) + (3974279950433)/(92099762561)*a^(3) - (5445839064782)/(92099762561)*a^(2) + (3268569688164)/(92099762561)*a - (951322495615)/(92099762561) , (11686259697)/(184199525122)*a^(20) - (18866527523)/(92099762561)*a^(19) + (17982382577)/(92099762561)*a^(18) - (10821063207)/(92099762561)*a^(17) - (5710237856)/(92099762561)*a^(16) - (31017766489)/(184199525122)*a^(15) + (393087536407)/(184199525122)*a^(14) - (287086677210)/(92099762561)*a^(13) + (252806363030)/(92099762561)*a^(12) - (134247331184)/(92099762561)*a^(11) - (243231777234)/(92099762561)*a^(10) + (198345238340)/(92099762561)*a^(9) - (145038749664)/(92099762561)*a^(8) - (38522395896)/(92099762561)*a^(7) + (430578822542)/(92099762561)*a^(6) - (132700807270)/(92099762561)*a^(5) + (37336676564)/(92099762561)*a^(4) + (37638303706)/(92099762561)*a^(3) - (97981618408)/(92099762561)*a^(2) - (122673232441)/(92099762561)*a + (133155860743)/(92099762561) , (64394675621)/(184199525122)*a^(20) - (98007684128)/(92099762561)*a^(19) + (164989955423)/(92099762561)*a^(18) - (228108697024)/(92099762561)*a^(17) + (163044618701)/(92099762561)*a^(16) - (699858067835)/(184199525122)*a^(15) + (1060944515553)/(92099762561)*a^(14) - (2007686447239)/(92099762561)*a^(13) + (3231041861833)/(92099762561)*a^(12) - (6585923491487)/(184199525122)*a^(11) + (2674948683566)/(92099762561)*a^(10) - (1431283123170)/(92099762561)*a^(9) + (27695615399)/(92099762561)*a^(8) + (207972943496)/(92099762561)*a^(7) - (251389607072)/(92099762561)*a^(6) - (84215406653)/(92099762561)*a^(5) - (155479952452)/(92099762561)*a^(4) + (441810188458)/(92099762561)*a^(3) - (696089455224)/(92099762561)*a^(2) + (366343825061)/(92099762561)*a - (126515291523)/(92099762561) , (80366310819)/(92099762561)*a^(20) - (259113241244)/(92099762561)*a^(19) + (425495807665)/(92099762561)*a^(18) - (1167193646577)/(184199525122)*a^(17) + (433836395633)/(92099762561)*a^(16) - (1701498212613)/(184199525122)*a^(15) + (2814619600626)/(92099762561)*a^(14) - (5214307684934)/(92099762561)*a^(13) + (16525863442107)/(184199525122)*a^(12) - (8681020773285)/(92099762561)*a^(11) + (6593956244262)/(92099762561)*a^(10) - (4113710645602)/(92099762561)*a^(9) + (12631759635)/(92099762561)*a^(8) + (581296354320)/(92099762561)*a^(7) - (120048523586)/(92099762561)*a^(6) + (183413378116)/(92099762561)*a^(5) + (150289704678)/(92099762561)*a^(4) + (1337580954127)/(92099762561)*a^(3) - (1741055579878)/(92099762561)*a^(2) + (829256477570)/(92099762561)*a - (318883904377)/(92099762561) , (51919628741)/(184199525122)*a^(20) - (245889580095)/(184199525122)*a^(19) + (508231927795)/(184199525122)*a^(18) - (369293482188)/(92099762561)*a^(17) + (752304269049)/(184199525122)*a^(16) - (833405553291)/(184199525122)*a^(15) + (2562650206357)/(184199525122)*a^(14) - (5891706315395)/(184199525122)*a^(13) + (9839903116083)/(184199525122)*a^(12) - (6260705598458)/(92099762561)*a^(11) + (5374938244893)/(92099762561)*a^(10) - (3619458793839)/(92099762561)*a^(9) + (1172428946813)/(92099762561)*a^(8) + (588297593380)/(92099762561)*a^(7) - (326594196378)/(92099762561)*a^(6) + (126729335009)/(92099762561)*a^(5) + (70880406917)/(92099762561)*a^(4) + (558819632233)/(92099762561)*a^(3) - (1207853245422)/(92099762561)*a^(2) + (1002403813448)/(92099762561)*a - (355528811935)/(92099762561) , (64120729340)/(92099762561)*a^(20) - (214720420484)/(92099762561)*a^(19) + (772557536883)/(184199525122)*a^(18) - (558442590497)/(92099762561)*a^(17) + (943317162319)/(184199525122)*a^(16) - (813549256047)/(92099762561)*a^(15) + (2366782070401)/(92099762561)*a^(14) - (4639859194467)/(92099762561)*a^(13) + (7700067306556)/(92099762561)*a^(12) - (17251010292185)/(184199525122)*a^(11) + (7502252305124)/(92099762561)*a^(10) - (5011732551490)/(92099762561)*a^(9) + (1287198002770)/(92099762561)*a^(8) - (69364732772)/(92099762561)*a^(7) - (346970892871)/(92099762561)*a^(6) - (36408241162)/(92099762561)*a^(5) - (56891931962)/(92099762561)*a^(4) + (1113300707200)/(92099762561)*a^(3) - (1641959216011)/(92099762561)*a^(2) + (1177264220541)/(92099762561)*a - (410120431905)/(92099762561) , (3157422423)/(92099762561)*a^(20) - (131478780441)/(184199525122)*a^(19) + (166255478320)/(92099762561)*a^(18) - (244091126104)/(92099762561)*a^(17) + (318460454136)/(92099762561)*a^(16) - (195231227951)/(92099762561)*a^(15) + (1284064396437)/(184199525122)*a^(14) - (3759543926401)/(184199525122)*a^(13) + (3109130087891)/(92099762561)*a^(12) - (9522816809895)/(184199525122)*a^(11) + (4203980853762)/(92099762561)*a^(10) - (3076654728221)/(92099762561)*a^(9) + (1631047953050)/(92099762561)*a^(8) + (519204699789)/(92099762561)*a^(7) + (128664878853)/(92099762561)*a^(6) + (52661440190)/(92099762561)*a^(5) + (149450843997)/(92099762561)*a^(4) + (16316243814)/(92099762561)*a^(3) - (922987022585)/(92099762561)*a^(2) + (777560920275)/(92099762561)*a - (305055952417)/(92099762561) , (287905177321)/(184199525122)*a^(20) - (444102101498)/(92099762561)*a^(19) + (728171963084)/(92099762561)*a^(18) - (1013135891135)/(92099762561)*a^(17) + (736320889009)/(92099762561)*a^(16) - (1549160001401)/(92099762561)*a^(15) + (4870848103723)/(92099762561)*a^(14) - (8922369001937)/(92099762561)*a^(13) + (28667250233153)/(184199525122)*a^(12) - (29660150478249)/(184199525122)*a^(11) + (11712467903898)/(92099762561)*a^(10) - (7169719171842)/(92099762561)*a^(9) + (175793916341)/(92099762561)*a^(8) + (588754882788)/(92099762561)*a^(7) - (470288641354)/(92099762561)*a^(6) + (33406780252)/(92099762561)*a^(5) + (12439580280)/(92099762561)*a^(4) + (2313794027117)/(92099762561)*a^(3) - (3015080038148)/(92099762561)*a^(2) + (1791358375207)/(92099762561)*a - (627183638729)/(92099762561) ], 999740.077738, [[x^3 - x^2 + x + 1, 1], [x^7 - 3*x^6 + 3*x^5 - x^4 - 5*x^3 + 5*x^2 + 3*x - 1, 1]]]