/* 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 + 3*x^20 - 8*x^19 - 13*x^18 - 13*x^17 - 10*x^16 + 79*x^15 + 45*x^14 + 111*x^13 + 59*x^12 - 172*x^11 + 31*x^10 - 94*x^9 - 96*x^8 + 55*x^7 - 26*x^6 + x^5 + 20*x^4 - 4*x^3 + 3*x^2 - 1, 22, 47, [2, 10], 1722741365651855595751953125, [5, 12917, 459847], [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, a^20, 1/2401618190265284674811*a^21 - 14244213809825361172/2401618190265284674811*a^20 - 1002104084110697076513/2401618190265284674811*a^19 - 367216667644907231650/2401618190265284674811*a^18 + 229059533055962844563/2401618190265284674811*a^17 + 399176911272701937276/2401618190265284674811*a^16 + 758472351089832778349/2401618190265284674811*a^15 - 177642923876279655337/2401618190265284674811*a^14 + 103312316322764112376/2401618190265284674811*a^13 + 1110083896221763476653/2401618190265284674811*a^12 + 699186610257392640747/2401618190265284674811*a^11 - 812554669888071682978/2401618190265284674811*a^10 - 15297580225974447004/2401618190265284674811*a^9 + 994462095366045419597/2401618190265284674811*a^8 - 1028122001191647940185/2401618190265284674811*a^7 - 913831922552747611054/2401618190265284674811*a^6 - 1091232064227718910422/2401618190265284674811*a^5 + 853402051447813984393/2401618190265284674811*a^4 + 501990338122522928382/2401618190265284674811*a^3 - 473625369548173765519/2401618190265284674811*a^2 + 848474124628934939444/2401618190265284674811*a + 694785389619438405661/2401618190265284674811], 0, 1, [], 1, [ (3450377810514199990)/(2401618190265284674811)*a^(21) + (7892448048691552194)/(2401618190265284674811)*a^(20) + (13866012774599558196)/(2401618190265284674811)*a^(19) + (3623626244373835722)/(2401618190265284674811)*a^(18) - (96646980688291340902)/(2401618190265284674811)*a^(17) - (139419561391075142792)/(2401618190265284674811)*a^(16) - (237407803604108680957)/(2401618190265284674811)*a^(15) + (90842292727038617744)/(2401618190265284674811)*a^(14) + (529784573994321265828)/(2401618190265284674811)*a^(13) + (774869684734401853181)/(2401618190265284674811)*a^(12) + (1529412549785663297332)/(2401618190265284674811)*a^(11) + (530524175581698619676)/(2401618190265284674811)*a^(10) + (641080180982698517699)/(2401618190265284674811)*a^(9) + (396531646264286357660)/(2401618190265284674811)*a^(8) - (288811477076358427254)/(2401618190265284674811)*a^(7) + (43414510807262098355)/(2401618190265284674811)*a^(6) - (68280786673478448948)/(2401618190265284674811)*a^(5) - (111912271002370886714)/(2401618190265284674811)*a^(4) + (15408667247438167106)/(2401618190265284674811)*a^(3) - (11887690972298367154)/(2401618190265284674811)*a^(2) - (3882073457358321605382)/(2401618190265284674811)*a + (5772738072159934035)/(2401618190265284674811) , (3685540365062581475643)/(2401618190265284674811)*a^(21) + (2123718484178134615274)/(2401618190265284674811)*a^(20) + (12374055877372103394218)/(2401618190265284674811)*a^(19) - (22684803579727001444695)/(2401618190265284674811)*a^(18) - (60673082956818433855642)/(2401618190265284674811)*a^(17) - (84633843834307771830451)/(2401618190265284674811)*a^(16) - (84074739258343986407007)/(2401618190265284674811)*a^(15) + (245427264285035272658100)/(2401618190265284674811)*a^(14) + (310551884881980154229389)/(2401618190265284674811)*a^(13) + (598080822002028175745579)/(2401618190265284674811)*a^(12) + (540509370867487733793562)/(2401618190265284674811)*a^(11) - (324539349429346856446901)/(2401618190265284674811)*a^(10) - (103549085949438864702452)/(2401618190265284674811)*a^(9) - (436947053041400223780218)/(2401618190265284674811)*a^(8) - (550131354654531671110141)/(2401618190265284674811)*a^(7) - (135462299194184643791816)/(2401618190265284674811)*a^(6) - (153935796129055460621030)/(2401618190265284674811)*a^(5) - (53965654908509208081346)/(2401618190265284674811)*a^(4) + (31078757517628210596633)/(2401618190265284674811)*a^(3) + (4648742062739928184961)/(2401618190265284674811)*a^(2) + (17999190734689978754567)/(2401618190265284674811)*a + (6098558323791566602430)/(2401618190265284674811) , (1924068314106246989256)/(2401618190265284674811)*a^(21) + (196660326622656337232)/(2401618190265284674811)*a^(20) + (6437138170811783140323)/(2401618190265284674811)*a^(19) - (14443710492062904833908)/(2401618190265284674811)*a^(18) - (24355290100326838927470)/(2401618190265284674811)*a^(17) - (31798901651024587185952)/(2401618190265284674811)*a^(16) - (32585669260555037239279)/(2401618190265284674811)*a^(15) + (134875007941882468078124)/(2401618190265284674811)*a^(14) + (87714294828280380691436)/(2401618190265284674811)*a^(13) + (267970173062325815978522)/(2401618190265284674811)*a^(12) + (190975954065079212150634)/(2401618190265284674811)*a^(11) - (211330716968788999806948)/(2401618190265284674811)*a^(10) + (116019203060746034706703)/(2401618190265284674811)*a^(9) - (240411120160469344409034)/(2401618190265284674811)*a^(8) - (228562433558769596338649)/(2401618190265284674811)*a^(7) - (89586413833798174795)/(2401618190265284674811)*a^(6) - (128309654524767833494787)/(2401618190265284674811)*a^(5) - (21341915940391633414873)/(2401618190265284674811)*a^(4) + (19991179087168887576567)/(2401618190265284674811)*a^(3) - (6798775281444154413785)/(2401618190265284674811)*a^(2) + (8829323321916164533775)/(2401618190265284674811)*a + (2789355660400223743724)/(2401618190265284674811) , (3771722283063141400402)/(2401618190265284674811)*a^(21) + (2270931435386266503518)/(2401618190265284674811)*a^(20) + (12633726535058750163947)/(2401618190265284674811)*a^(19) - (22555878602371953245696)/(2401618190265284674811)*a^(18) - (62968620127133349106934)/(2401618190265284674811)*a^(17) - (86537003151301781590274)/(2401618190265284674811)*a^(16) - (89887653406702636009026)/(2401618190265284674811)*a^(15) + (245944470176308105067014)/(2401618190265284674811)*a^(14) + (321044335618239107928622)/(2401618190265284674811)*a^(13) + (610680687263645884644712)/(2401618190265284674811)*a^(12) + (591208151675795583871392)/(2401618190265284674811)*a^(11) - (314287586126802319609902)/(2401618190265284674811)*a^(10) - (83795356893191466120192)/(2401618190265284674811)*a^(9) - (418751663670589354031124)/(2401618190265284674811)*a^(8) - (631656615228864136080425)/(2401618190265284674811)*a^(7) - (132735887320202090363109)/(2401618190265284674811)*a^(6) - (181751894060223208265975)/(2401618190265284674811)*a^(5) - (91283555943587606087547)/(2401618190265284674811)*a^(4) + (42011342164089327459454)/(2401618190265284674811)*a^(3) + (4139525809397588179885)/(2401618190265284674811)*a^(2) + (18067656467790196882827)/(2401618190265284674811)*a + (11120453452280779027284)/(2401618190265284674811) , (10676946391471633658651)/(2401618190265284674811)*a^(21) + (5605149868206449545508)/(2401618190265284674811)*a^(20) + (34795477621700354361249)/(2401618190265284674811)*a^(19) - (66926702290648800523061)/(2401618190265284674811)*a^(18) - (174562218518693193014344)/(2401618190265284674811)*a^(17) - (228303125986232384174145)/(2401618190265284674811)*a^(16) - (226381439795559831611673)/(2401618190265284674811)*a^(15) + (724924785216301027236508)/(2401618190265284674811)*a^(14) + (860737550263417001148873)/(2401618190265284674811)*a^(13) + (1621286886179529915464463)/(2401618190265284674811)*a^(12) + (1491569850089340039679664)/(2401618190265284674811)*a^(11) - (1071135083623376799013037)/(2401618190265284674811)*a^(10) - (216392868879713596251455)/(2401618190265284674811)*a^(9) - (1084144246027354142385176)/(2401618190265284674811)*a^(8) - (1639365418681277186667242)/(2401618190265284674811)*a^(7) - (232813882275837179173050)/(2401618190265284674811)*a^(6) - (419354101280763029955783)/(2401618190265284674811)*a^(5) - (221724572488544626246741)/(2401618190265284674811)*a^(4) + (113947974812782194942189)/(2401618190265284674811)*a^(3) + (8267784587150836847320)/(2401618190265284674811)*a^(2) + (37614639200802984817812)/(2401618190265284674811)*a + (22695526135069548805444)/(2401618190265284674811) , (5772738072159934035)/(2401618190265284674811)*a^(21) + (3450377810514199990)/(2401618190265284674811)*a^(20) + (25210662265171354299)/(2401618190265284674811)*a^(19) - (32315891802679914084)/(2401618190265284674811)*a^(18) - (71421968693705306733)/(2401618190265284674811)*a^(17) - (171692575626370483357)/(2401618190265284674811)*a^(16) - (197146942112674483142)/(2401618190265284674811)*a^(15) + (218638504096526107808)/(2401618190265284674811)*a^(14) + (350615505974235649319)/(2401618190265284674811)*a^(13) + (1170558500004073943713)/(2401618190265284674811)*a^(12) + (1115461230991837961246)/(2401618190265284674811)*a^(11) + (536501601374154643312)/(2401618190265284674811)*a^(10) + (709479055818656574761)/(2401618190265284674811)*a^(9) + (98442802199664718409)/(2401618190265284674811)*a^(8) - (157651208663067309700)/(2401618190265284674811)*a^(7) + (28689116892437944671)/(2401618190265284674811)*a^(6) - (106676679068896186555)/(2401618190265284674811)*a^(5) - (62508048601318514913)/(2401618190265284674811)*a^(4) + (3542490440827793986)/(2401618190265284674811)*a^(3) - (7682285041201569034)/(2401618190265284674811)*a^(2) + (5430523244181434951)/(2401618190265284674811)*a - (1480455267093036930571)/(2401618190265284674811) , (761576016300161238791)/(2401618190265284674811)*a^(21) + (1985897400318076923690)/(2401618190265284674811)*a^(20) + (2574489992362135916427)/(2401618190265284674811)*a^(19) + (49562030605310775696)/(2401618190265284674811)*a^(18) - (24820580871331451141411)/(2401618190265284674811)*a^(17) - (37351558113420310964829)/(2401618190265284674811)*a^(16) - (38362462755664609097159)/(2401618190265284674811)*a^(15) + (33733030450692250498992)/(2401618190265284674811)*a^(14) + (183644724586040637019193)/(2401618190265284674811)*a^(13) + (191745836025155054579891)/(2401618190265284674811)*a^(12) + (290350311413830903995320)/(2401618190265284674811)*a^(11) + (32544507146101687221623)/(2401618190265284674811)*a^(10) - (265702906273029410824652)/(2401618190265284674811)*a^(9) - (31344913879202729775145)/(2401618190265284674811)*a^(8) - (262329105534429589794957)/(2401618190265284674811)*a^(7) - (175831589218262595925474)/(2401618190265284674811)*a^(6) + (24672527348820332185965)/(2401618190265284674811)*a^(5) - (56862762149839812373198)/(2401618190265284674811)*a^(4) - (565000721684426592190)/(2401618190265284674811)*a^(3) + (21417713047012349632045)/(2401618190265284674811)*a^(2) + (3839468352010361475219)/(2401618190265284674811)*a + (4219488797815932192290)/(2401618190265284674811) , (303681589185710601483)/(2401618190265284674811)*a^(21) - (725193444841375486058)/(2401618190265284674811)*a^(20) + (517583801470337678188)/(2401618190265284674811)*a^(19) - (4830113820707696002245)/(2401618190265284674811)*a^(18) + (548303633140570527758)/(2401618190265284674811)*a^(17) + (7843954178727568146891)/(2401618190265284674811)*a^(16) + (12987657662400255624790)/(2401618190265284674811)*a^(15) + (39993529531082340152842)/(2401618190265284674811)*a^(14) - (34139711454362393936604)/(2401618190265284674811)*a^(13) - (25154969088254190767607)/(2401618190265284674811)*a^(12) - (96492150011991923745764)/(2401618190265284674811)*a^(11) - (158767071234496263236018)/(2401618190265284674811)*a^(10) + (72009701681607628150615)/(2401618190265284674811)*a^(9) - (10141826137770277927695)/(2401618190265284674811)*a^(8) + (52824684643694730433123)/(2401618190265284674811)*a^(7) + (136117063014254328696052)/(2401618190265284674811)*a^(6) + (25836786010491883185448)/(2401618190265284674811)*a^(5) + (13247416521661076434342)/(2401618190265284674811)*a^(4) + (12814957679433277728915)/(2401618190265284674811)*a^(3) - (5281619528841513349687)/(2401618190265284674811)*a^(2) - (5018586228806317869829)/(2401618190265284674811)*a - (1952304042970405313287)/(2401618190265284674811) , (3466118602876110139376)/(2401618190265284674811)*a^(21) + (2136940144605591951045)/(2401618190265284674811)*a^(20) + (11139211870867791271526)/(2401618190265284674811)*a^(19) - (20863412637857408262982)/(2401618190265284674811)*a^(18) - (59667027144475314250832)/(2401618190265284674811)*a^(17) - (77243662588801586823466)/(2401618190265284674811)*a^(16) - (74829295402418739022829)/(2401618190265284674811)*a^(15) + (235313915944994902935385)/(2401618190265284674811)*a^(14) + (307022486071970991353551)/(2401618190265284674811)*a^(13) + (528841552065885405910412)/(2401618190265284674811)*a^(12) + (504802904985578616628334)/(2401618190265284674811)*a^(11) - (349913196031830752515661)/(2401618190265284674811)*a^(10) - (143068911613084850211638)/(2401618190265284674811)*a^(9) - (317806948680183170637670)/(2401618190265284674811)*a^(8) - (547609610884389362534896)/(2401618190265284674811)*a^(7) - (93928554571944410639805)/(2401618190265284674811)*a^(6) - (93846675710889064964274)/(2401618190265284674811)*a^(5) - (85626296449703001020879)/(2401618190265284674811)*a^(4) + (31366594995242544490841)/(2401618190265284674811)*a^(3) + (11206835992963232299637)/(2401618190265284674811)*a^(2) + (6009904348208793819071)/(2401618190265284674811)*a + (9862755081957191945450)/(2401618190265284674811) , (815601738293204934817)/(2401618190265284674811)*a^(21) + (443735005695054196783)/(2401618190265284674811)*a^(20) + (2993385129344672930512)/(2401618190265284674811)*a^(19) - (4799169178330819290912)/(2401618190265284674811)*a^(18) - (12605043754083928172847)/(2401618190265284674811)*a^(17) - (19638457661973269079432)/(2401618190265284674811)*a^(16) - (24397675498304848705541)/(2401618190265284674811)*a^(15) + (48388834039906814750649)/(2401618190265284674811)*a^(14) + (63167247658309384258509)/(2401618190265284674811)*a^(13) + (151708816150499838454620)/(2401618190265284674811)*a^(12) + (153246601841246678316113)/(2401618190265284674811)*a^(11) - (44826703852509342861347)/(2401618190265284674811)*a^(10) + (13482524092801143821487)/(2401618190265284674811)*a^(9) - (142560561433813761393426)/(2401618190265284674811)*a^(8) - (171108355102085016710293)/(2401618190265284674811)*a^(7) - (14392795110645991593288)/(2401618190265284674811)*a^(6) - (66229012519686567187182)/(2401618190265284674811)*a^(5) - (20402069651151626082188)/(2401618190265284674811)*a^(4) + (14596090661790483441316)/(2401618190265284674811)*a^(3) + (1557207491168540819889)/(2401618190265284674811)*a^(2) + (8436238908994278033526)/(2401618190265284674811)*a + (1383199119204820884586)/(2401618190265284674811) , (7311777982652149737824)/(2401618190265284674811)*a^(21) + (3452428035338947583466)/(2401618190265284674811)*a^(20) + (23709016588672986183922)/(2401618190265284674811)*a^(19) - (47412271327530841535717)/(2401618190265284674811)*a^(18) - (116919693091987568934686)/(2401618190265284674811)*a^(17) - (151697582640539222623612)/(2401618190265284674811)*a^(16) - (145406333300536795973648)/(2401618190265284674811)*a^(15) + (507993723570211097073546)/(2401618190265284674811)*a^(14) + (567455504210782840567546)/(2401618190265284674811)*a^(13) + (1089924918185010896932043)/(2401618190265284674811)*a^(12) + (941641819606305324417098)/(2401618190265284674811)*a^(11) - (795736521120844565309330)/(2401618190265284674811)*a^(10) - (145388903101852282006572)/(2401618190265284674811)*a^(9) - (772281410801009898070241)/(2401618190265284674811)*a^(8) - (1031428944180474084026859)/(2401618190265284674811)*a^(7) - (111798308369756643128352)/(2401618190265284674811)*a^(6) - (250556189627717923289972)/(2401618190265284674811)*a^(5) - (105542343118854896375238)/(2401618190265284674811)*a^(4) + (76288138122329488201743)/(2401618190265284674811)*a^(3) + (8023585516210945232063)/(2401618190265284674811)*a^(2) + (24683958961351433416740)/(2401618190265284674811)*a + (9799363110416932045803)/(2401618190265284674811) ], 42078.318318, [[x^2 - x - 1, 1], [x^11 + x^9 - 2*x^8 - 2*x^7 - x^6 + 3*x^4 + x^3 + x^2 - 1, 1]]]