/* 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 - 19*x^20 - 98*x^18 + 2442*x^16 + 2012*x^14 - 52528*x^12 - 9104*x^10 + 29829*x^8 + 10141*x^6 + 84*x^4 - 96*x^2 - 1, 22, 39, [10, 6], 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, a^15, 1/3*a^16 + 1/3*a^14 - 1/3*a^12 + 1/3*a^10 - 1/3*a^4 + 1/3*a^2 + 1/3, 1/3*a^17 + 1/3*a^15 - 1/3*a^13 + 1/3*a^11 - 1/3*a^5 + 1/3*a^3 + 1/3*a, 1/3*a^18 + 1/3*a^14 - 1/3*a^12 - 1/3*a^10 - 1/3*a^6 - 1/3*a^4 - 1/3, 1/3*a^19 + 1/3*a^15 - 1/3*a^13 - 1/3*a^11 - 1/3*a^7 - 1/3*a^5 - 1/3*a, 1/40755129758971205708373*a^20 - 1863565165404118449050/13585043252990401902791*a^18 + 1989594056303010191133/13585043252990401902791*a^16 + 5054199854346017763241/40755129758971205708373*a^14 + 673434113521931066425/13585043252990401902791*a^12 - 13883322704723831709865/40755129758971205708373*a^10 + 11170540241952658966805/40755129758971205708373*a^8 + 7008294642658180457816/40755129758971205708373*a^6 + 7089781127840095371829/40755129758971205708373*a^4 - 10928661263030190601031/40755129758971205708373*a^2 + 2083762129298259163382/40755129758971205708373, 1/40755129758971205708373*a^21 - 1863565165404118449050/13585043252990401902791*a^19 + 1989594056303010191133/13585043252990401902791*a^17 + 5054199854346017763241/40755129758971205708373*a^15 + 673434113521931066425/13585043252990401902791*a^13 - 13883322704723831709865/40755129758971205708373*a^11 + 11170540241952658966805/40755129758971205708373*a^9 + 7008294642658180457816/40755129758971205708373*a^7 + 7089781127840095371829/40755129758971205708373*a^5 - 10928661263030190601031/40755129758971205708373*a^3 + 2083762129298259163382/40755129758971205708373*a], 0, 1, [], 1, [ a , (6035792058790912464700)/(40755129758971205708373)*a^(21) - (114776835201870601937888)/(40755129758971205708373)*a^(19) - (589641069057003618513536)/(40755129758971205708373)*a^(17) + (4916119032006715414564051)/(13585043252990401902791)*a^(15) + (11905100650776474717626803)/(40755129758971205708373)*a^(13) - (317174731277020561427626891)/(40755129758971205708373)*a^(11) - (49828776096610484007562516)/(40755129758971205708373)*a^(9) + (179467408655432856387325759)/(40755129758971205708373)*a^(7) + (58462479511827724496625398)/(40755129758971205708373)*a^(5) + (196847286888455391803333)/(40755129758971205708373)*a^(3) - (447513316552575904492174)/(40755129758971205708373)*a , (1945988769682714603814)/(40755129758971205708373)*a^(21) - (12359457234211344262479)/(13585043252990401902791)*a^(19) - (62906096918429975540488)/(13585043252990401902791)*a^(17) + (4762324518522289133902277)/(40755129758971205708373)*a^(15) + (1219937933306029982869893)/(13585043252990401902791)*a^(13) - (102425720375829512769876266)/(40755129758971205708373)*a^(11) - (12222933488584945094462696)/(40755129758971205708373)*a^(9) + (58936962912061045006649653)/(40755129758971205708373)*a^(7) + (16672578333598214766310544)/(40755129758971205708373)*a^(5) - (1234314412870334927325184)/(40755129758971205708373)*a^(3) - (334372109246476003079768)/(40755129758971205708373)*a , (5778885876131061030611)/(40755129758971205708373)*a^(21) - (36656045731475508310016)/(13585043252990401902791)*a^(19) - (563010786942941494124621)/(40755129758971205708373)*a^(17) + (4708878913466152418225075)/(13585043252990401902791)*a^(15) + (11204202917736673937391929)/(40755129758971205708373)*a^(13) - (303638868544062639380140018)/(40755129758971205708373)*a^(11) - (43592419697694721878773315)/(40755129758971205708373)*a^(9) + (168461415163758596069333752)/(40755129758971205708373)*a^(7) + (54378289214050197944830186)/(40755129758971205708373)*a^(5) + (500134361708396510320724)/(13585043252990401902791)*a^(3) - (331415780995177213827133)/(40755129758971205708373)*a , (1716240708028190892397)/(40755129758971205708373)*a^(20) - (32627863244930439805516)/(40755129758971205708373)*a^(18) - (167804915587931896019603)/(40755129758971205708373)*a^(16) + (4192565044033664784905410)/(40755129758971205708373)*a^(14) + (1134677899012478796574401)/(13585043252990401902791)*a^(12) - (90140102202379316335946327)/(40755129758971205708373)*a^(10) - (14575688243539315016481490)/(40755129758971205708373)*a^(8) + (16770130540135729106905459)/(13585043252990401902791)*a^(6) + (16737385731608172960781240)/(40755129758971205708373)*a^(4) + (557318876051161414670516)/(40755129758971205708373)*a^(2) + (10461240499065446896066)/(40755129758971205708373) , (57732998485229177057694)/(13585043252990401902791)*a^(21) - (1097459421717445347754824)/(13585043252990401902791)*a^(19) - (16943143687810232387410315)/(40755129758971205708373)*a^(17) + (423108340264735423434948626)/(40755129758971205708373)*a^(15) + (344574681315799531771772815)/(40755129758971205708373)*a^(13) - (9100991515321679912527399489)/(40755129758971205708373)*a^(11) - (497620212041144230607958369)/(13585043252990401902791)*a^(9) + (1726826256584091005359568395)/(13585043252990401902791)*a^(7) + (1708241504144503900978419196)/(40755129758971205708373)*a^(5) - (1410878878112571286113082)/(40755129758971205708373)*a^(3) - (16463113428647669642034511)/(40755129758971205708373)*a , (13327171900369003448045)/(40755129758971205708373)*a^(21) - (252530709707791556281675)/(40755129758971205708373)*a^(19) - (439638882134502410378353)/(13585043252990401902791)*a^(17) + (32474485953533643805427425)/(40755129758971205708373)*a^(15) + (28471949042582402006539204)/(40755129758971205708373)*a^(13) - (698249162339054981274749938)/(40755129758971205708373)*a^(11) - (157044876968043820219982135)/(40755129758971205708373)*a^(9) + (382259165350020364056113219)/(40755129758971205708373)*a^(7) + (51695220787362480087190854)/(13585043252990401902791)*a^(5) + (12799336468843473629541224)/(40755129758971205708373)*a^(3) - (29907102873481273742770)/(40755129758971205708373)*a , (14243478362263513101058)/(40755129758971205708373)*a^(21) - (271149977756584770461648)/(40755129758971205708373)*a^(19) - (1385891580367361786563228)/(40755129758971205708373)*a^(17) + (34833661355370953699440075)/(40755129758971205708373)*a^(15) + (9125421683491732941805186)/(13585043252990401902791)*a^(13) - (249733709307334347280232073)/(13585043252990401902791)*a^(11) - (102025464553174763692007017)/(40755129758971205708373)*a^(9) + (428837437849153861854253144)/(40755129758971205708373)*a^(7) + (126621293541271344739966804)/(40755129758971205708373)*a^(5) - (846906445814594706671465)/(13585043252990401902791)*a^(3) - (257434824679066723758622)/(13585043252990401902791)*a , (14462984413157234190431)/(40755129758971205708373)*a^(21) - (274709533904785520594635)/(40755129758971205708373)*a^(19) - (1419206286076093623824266)/(40755129758971205708373)*a^(17) + (11771167045178376043585422)/(13585043252990401902791)*a^(15) + (29328601572022767247149743)/(40755129758971205708373)*a^(13) - (759975544546778371209956837)/(40755129758971205708373)*a^(11) - (136454329577522420353896920)/(40755129758971205708373)*a^(9) + (440020569079819704622151804)/(40755129758971205708373)*a^(7) + (147612895760704872521669515)/(40755129758971205708373)*a^(5) - (2605530928559344405184603)/(40755129758971205708373)*a^(3) - (1528635027189298664747174)/(40755129758971205708373)*a , (5434660374337334274650)/(40755129758971205708373)*a^(20) - (34455212235053635265974)/(13585043252990401902791)*a^(18) - (530570390351218998930601)/(40755129758971205708373)*a^(16) + (13282099837809738127989157)/(40755129758971205708373)*a^(14) + (10673740055396348808914833)/(40755129758971205708373)*a^(12) - (95236064819244111232580373)/(13585043252990401902791)*a^(10) - (43855486528981684184902181)/(40755129758971205708373)*a^(8) + (163526077794110596027109932)/(40755129758971205708373)*a^(6) + (17236218633251929988765066)/(13585043252990401902791)*a^(4) - (761700655708084600035740)/(40755129758971205708373)*a^(2) - (146273239634650995804025)/(13585043252990401902791) , (4378885322216627492016)/(13585043252990401902791)*a^(21) + (2613693664200624844813)/(13585043252990401902791)*a^(20) - (242999498455487998880489)/(40755129758971205708373)*a^(19) - (143123921772548857750166)/(40755129758971205708373)*a^(18) - (1407466328818127294870182)/(40755129758971205708373)*a^(17) - (874898823245313059285570)/(40755129758971205708373)*a^(16) + (10445837916836209686659587)/(13585043252990401902791)*a^(15) + (18486733500227277942621416)/(40755129758971205708373)*a^(14) + (13981502551052095383717059)/(13585043252990401902791)*a^(13) + (29534480329371341076646993)/(40755129758971205708373)*a^(12) - (664401656149454644377039281)/(40755129758971205708373)*a^(11) - (129606231301271266492866988)/(13585043252990401902791)*a^(10) - (148397084495087303305717246)/(13585043252990401902791)*a^(9) - (119976770325763395861206642)/(13585043252990401902791)*a^(8) + (72503435863697753964830315)/(40755129758971205708373)*a^(7) - (55766076636256715187060322)/(40755129758971205708373)*a^(6) + (21823316662430331420534636)/(13585043252990401902791)*a^(5) + (12860514734538717556509499)/(40755129758971205708373)*a^(4) + (4977914892128522628272714)/(40755129758971205708373)*a^(3) + (2007715281892713956912164)/(40755129758971205708373)*a^(2) - (167356377084246105452831)/(40755129758971205708373)*a + (9055618582417510486870)/(13585043252990401902791) , (922392647095869424257752)/(40755129758971205708373)*a^(21) + (277095472291759132228805)/(40755129758971205708373)*a^(20) - (17443181665090179319300981)/(40755129758971205708373)*a^(19) - (1746838884338067736073855)/(13585043252990401902791)*a^(18) - (91950734639666727707404019)/(40755129758971205708373)*a^(17) - (9205038434617255286198233)/(13585043252990401902791)*a^(16) + (2244286187870316501281612300)/(40755129758971205708373)*a^(15) + (674250053579553780360319694)/(40755129758971205708373)*a^(14) + (685360379581199791934132786)/(13585043252990401902791)*a^(13) + (205555168836181659433700464)/(13585043252990401902791)*a^(12) - (16089580894657082474685614743)/(13585043252990401902791)*a^(11) - (14501761796235018263637413975)/(40755129758971205708373)*a^(10) - (12704272065071704623327465119)/(40755129758971205708373)*a^(9) - (3795241470544746563898671099)/(40755129758971205708373)*a^(8) + (26395662905716966989707158454)/(40755129758971205708373)*a^(7) + (7944480092832513886202352532)/(40755129758971205708373)*a^(6) + (11723188307948550504892617032)/(40755129758971205708373)*a^(5) + (3518912889179032041416053541)/(40755129758971205708373)*a^(4) + (375286680478529125606465404)/(13585043252990401902791)*a^(3) + (335321260667118106036434077)/(40755129758971205708373)*a^(2) + (3783840035017379704245683)/(13585043252990401902791)*a + (3116851444747342408793461)/(40755129758971205708373) , (865684788926402162472306)/(13585043252990401902791)*a^(21) - (773921738660355209117180)/(40755129758971205708373)*a^(20) - (16371161291161073096694512)/(13585043252990401902791)*a^(19) + (4878621223876575123218624)/(13585043252990401902791)*a^(18) - (258871298538772937960328419)/(40755129758971205708373)*a^(17) + (77142554399356913388687268)/(40755129758971205708373)*a^(16) + (6319025995726606656410393572)/(40755129758971205708373)*a^(15) - (1883073633456063141803087788)/(40755129758971205708373)*a^(14) + (5786234459692221982418533367)/(40755129758971205708373)*a^(13) - (1724162773157117675539597126)/(40755129758971205708373)*a^(12) - (135904420366437220860213805370)/(40755129758971205708373)*a^(11) + (13499854494544183632251842310)/(13585043252990401902791)*a^(10) - (11902751384029555046739604682)/(13585043252990401902791)*a^(9) + (10638165065203571936254136438)/(40755129758971205708373)*a^(8) + (24765954376390641241381886236)/(13585043252990401902791)*a^(7) - (22140431622052691236823265766)/(40755129758971205708373)*a^(6) + (32931965143225445210863800104)/(40755129758971205708373)*a^(5) - (3270611098521149655458363586)/(13585043252990401902791)*a^(4) + (3140969954692603931765747800)/(40755129758971205708373)*a^(3) - (935476783413150089402727451)/(40755129758971205708373)*a^(2) + (29304425692771763587485988)/(40755129758971205708373)*a - (2904975312172084033058316)/(13585043252990401902791) , (187842619947605575593518)/(40755129758971205708373)*a^(21) - (64731406421512252353341)/(40755129758971205708373)*a^(20) - (1182564201032576707398272)/(13585043252990401902791)*a^(19) + (1223857597526351921864987)/(40755129758971205708373)*a^(18) - (18811934238245695703735486)/(40755129758971205708373)*a^(17) + (6457935241272589763613461)/(40755129758971205708373)*a^(16) + (152197068874542623197674011)/(13585043252990401902791)*a^(15) - (157472765807519810490077848)/(40755129758971205708373)*a^(14) + (429826967952002030597591654)/(40755129758971205708373)*a^(13) - (144942869128346009999721634)/(40755129758971205708373)*a^(12) - (9820072736707664752351083220)/(40755129758971205708373)*a^(11) + (3386826250914816901852332803)/(40755129758971205708373)*a^(10) - (2825848123411441848411080330)/(40755129758971205708373)*a^(9) + (905924653554445626118411085)/(40755129758971205708373)*a^(8) + (5323164338367768220921085812)/(40755129758971205708373)*a^(7) - (615786879363725702398393629)/(13585043252990401902791)*a^(6) + (2515925331219446242214656354)/(40755129758971205708373)*a^(5) - (276512304851425099483828186)/(13585043252990401902791)*a^(4) + (93064890529664289331333683)/(13585043252990401902791)*a^(3) - (27361514530811625911534986)/(13585043252990401902791)*a^(2) + (5860256767818636899829257)/(40755129758971205708373)*a - (1034308053070839194581216)/(40755129758971205708373) , (1512493764001770177160391)/(40755129758971205708373)*a^(21) + (452290037318839873428125)/(40755129758971205708373)*a^(20) - (28603409956567122613537025)/(40755129758971205708373)*a^(19) - (8555865904959778703232295)/(40755129758971205708373)*a^(18) - (50253546696273374452173102)/(13585043252990401902791)*a^(17) - (45056850963233221593832612)/(40755129758971205708373)*a^(16) + (1226731637811631082546219398)/(13585043252990401902791)*a^(15) + (366970273827991128444734359)/(13585043252990401902791)*a^(14) + (3369531960413905362079403621)/(40755129758971205708373)*a^(13) + (1005055176988250036517236072)/(40755129758971205708373)*a^(12) - (26384972338413584584512801054)/(13585043252990401902791)*a^(11) - (23687812851991947439703088779)/(40755129758971205708373)*a^(10) - (20812060213885660725812686088)/(40755129758971205708373)*a^(9) - (6217431044397357049022749886)/(40755129758971205708373)*a^(8) + (14423245610016997676688631460)/(13585043252990401902791)*a^(7) + (12953152431822330252442204229)/(40755129758971205708373)*a^(6) + (19189444912350029416627316827)/(40755129758971205708373)*a^(5) + (5736867653262580659341502967)/(40755129758971205708373)*a^(4) + (1833389227155737611738316048)/(40755129758971205708373)*a^(3) + (545970532471883466888690385)/(40755129758971205708373)*a^(2) + (5821136473753463540858600)/(13585043252990401902791)*a + (5006553454797941316255472)/(40755129758971205708373) ], 1146661429010000, [[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]]]