/* 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 - 2*x^20 - 2*x^19 + 12*x^18 - 25*x^17 + x^16 + 48*x^15 - 91*x^14 + 103*x^13 - 12*x^12 - 110*x^11 + 272*x^10 - 277*x^9 - 78*x^8 + 278*x^7 - 46*x^6 + 11*x^5 - 114*x^4 + 3*x^3 + 93*x^2 - 19*x - 23, 21, 139, [9, 6], 18453551447289410297167049873, [71, 8623, 283573], [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, 1/51*a^19 + 7/51*a^18 - 2/17*a^17 - 1/51*a^16 + 11/51*a^15 + 14/51*a^14 - 2/51*a^13 + 8/17*a^12 - 2/17*a^11 + 3/17*a^10 + 16/51*a^9 + 1/3*a^8 - 23/51*a^7 + 4/51*a^6 + 19/51*a^5 + 10/51*a^4 + 1/51*a^3 - 10/51*a^2 - 1/51*a - 11/51, 1/139346267232241623387*a^20 + 754802086132323592/139346267232241623387*a^19 - 14079447032224139052/46448755744080541129*a^18 + 33922591437587626823/139346267232241623387*a^17 + 30158256707392377077/139346267232241623387*a^16 + 56301270895884913997/139346267232241623387*a^15 + 66632142114688291330/139346267232241623387*a^14 + 2413258241065153432/46448755744080541129*a^13 + 15877069354876731411/46448755744080541129*a^12 + 22445722870264703478/46448755744080541129*a^11 + 55201602134033343139/139346267232241623387*a^10 + 41688886374736457891/139346267232241623387*a^9 - 15894480275683125089/139346267232241623387*a^8 + 23689385703015247747/139346267232241623387*a^7 - 26544765006257416049/139346267232241623387*a^6 - 34385885295466590329/139346267232241623387*a^5 + 42313219106502009784/139346267232241623387*a^4 - 6416215932829667953/139346267232241623387*a^3 + 50459683152908369102/139346267232241623387*a^2 - 13837709681323672367/139346267232241623387*a - 7121334751962168283/46448755744080541129], 0, 1, [], 1, [ (167125521874270444528)/(46448755744080541129)*a^(20) - (1277641717588071706474)/(139346267232241623387)*a^(19) - (308400101218352375149)/(139346267232241623387)*a^(18) + (2065002977702972849159)/(46448755744080541129)*a^(17) - (15915593507447930300960)/(139346267232241623387)*a^(16) + (9164433952630847701756)/(139346267232241623387)*a^(15) + (19167519471596662324858)/(139346267232241623387)*a^(14) - (56099286671755761065224)/(139346267232241623387)*a^(13) + (27386602390828197706437)/(46448755744080541129)*a^(12) - (16876784994051870414294)/(46448755744080541129)*a^(11) - (9298238588695980212002)/(46448755744080541129)*a^(10) + (151635116057639139008243)/(139346267232241623387)*a^(9) - (221543537027667079023209)/(139346267232241623387)*a^(8) + (80980607986926096363608)/(139346267232241623387)*a^(7) + (96181710287106806847569)/(139346267232241623387)*a^(6) - (75130824939194974597312)/(139346267232241623387)*a^(5) + (45840124008097590576710)/(139346267232241623387)*a^(4) - (82365940185932846698222)/(139346267232241623387)*a^(3) + (46195199636882377270708)/(139346267232241623387)*a^(2) + (21778006251336612804640)/(139346267232241623387)*a - (21351723852764109926578)/(139346267232241623387) , (995042737479523853161)/(139346267232241623387)*a^(20) - (2533227848913228700996)/(139346267232241623387)*a^(19) - (612852204585161064758)/(139346267232241623387)*a^(18) + (12285684850652812386992)/(139346267232241623387)*a^(17) - (31572457081090837069241)/(139346267232241623387)*a^(16) + (18167084682888686457322)/(139346267232241623387)*a^(15) + (12660957112051575438652)/(46448755744080541129)*a^(14) - (111299546572486875019925)/(139346267232241623387)*a^(13) + (54341623474792116558558)/(46448755744080541129)*a^(12) - (33481792065541994798955)/(46448755744080541129)*a^(11) - (55229682612878060346674)/(139346267232241623387)*a^(10) + (100328035101421130153094)/(46448755744080541129)*a^(9) - (146503719780904286745305)/(46448755744080541129)*a^(8) + (160907537909479788709307)/(139346267232241623387)*a^(7) + (190310008705256027587778)/(139346267232241623387)*a^(6) - (149571089596045293183466)/(139346267232241623387)*a^(5) + (91565773371310209786188)/(139346267232241623387)*a^(4) - (54405480352270163627429)/(46448755744080541129)*a^(3) + (91826212480005960224356)/(139346267232241623387)*a^(2) + (14355187354828416012304)/(46448755744080541129)*a - (42500616705341442023426)/(139346267232241623387) , (101110600863348729923)/(139346267232241623387)*a^(20) - (252642214965759320120)/(139346267232241623387)*a^(19) - (68150184085023971875)/(139346267232241623387)*a^(18) + (1233383041308389955553)/(139346267232241623387)*a^(17) - (3159887010785767631428)/(139346267232241623387)*a^(16) + (1762738584464583959069)/(139346267232241623387)*a^(15) + (1264047862655276949966)/(46448755744080541129)*a^(14) - (11100446296816094336341)/(139346267232241623387)*a^(13) + (5418289322495404255530)/(46448755744080541129)*a^(12) - (3314320493643800841973)/(46448755744080541129)*a^(11) - (5395118023349801816038)/(139346267232241623387)*a^(10) + (10011709419047583746319)/(46448755744080541129)*a^(9) - (14513408311452707936833)/(46448755744080541129)*a^(8) + (15669588468469399777642)/(139346267232241623387)*a^(7) + (18408949151184122302885)/(139346267232241623387)*a^(6) - (14263523552220377105429)/(139346267232241623387)*a^(5) + (9393018621507877393927)/(139346267232241623387)*a^(4) - (5382965073884526446273)/(46448755744080541129)*a^(3) + (8968697105663499506138)/(139346267232241623387)*a^(2) + (1377952118398810771918)/(46448755744080541129)*a - (4114613468507258626693)/(139346267232241623387) , (84641271168085863735)/(46448755744080541129)*a^(20) - (215032640492921429671)/(46448755744080541129)*a^(19) - (53147678656641623319)/(46448755744080541129)*a^(18) + (1044481543939717607041)/(46448755744080541129)*a^(17) - (2680334641460232687523)/(46448755744080541129)*a^(16) + (1532878133082206063810)/(46448755744080541129)*a^(15) + (3235670316585304610436)/(46448755744080541129)*a^(14) - (9450127781161403070213)/(46448755744080541129)*a^(13) + (13824377116896388148136)/(46448755744080541129)*a^(12) - (8484354993487911681295)/(46448755744080541129)*a^(11) - (4729826570504159170744)/(46448755744080541129)*a^(10) + (25571777699153027294904)/(46448755744080541129)*a^(9) - (37269479433185092561767)/(46448755744080541129)*a^(8) + (13534151722031722769704)/(46448755744080541129)*a^(7) + (16209909796845053549891)/(46448755744080541129)*a^(6) - (12623812169784546909650)/(46448755744080541129)*a^(5) + (7769624250792480230906)/(46448755744080541129)*a^(4) - (13837416799992930882862)/(46448755744080541129)*a^(3) + (7791623889286351900419)/(46448755744080541129)*a^(2) + (3630673460313064366781)/(46448755744080541129)*a - (3573832001184078653865)/(46448755744080541129) , (460113021454411644001)/(139346267232241623387)*a^(20) - (1173164373332353238515)/(139346267232241623387)*a^(19) - (282028869597309358670)/(139346267232241623387)*a^(18) + (5686557350026037911670)/(139346267232241623387)*a^(17) - (14612537483425410375956)/(139346267232241623387)*a^(16) + (8426028760348418840281)/(139346267232241623387)*a^(15) + (5863339639775232059747)/(46448755744080541129)*a^(14) - (51506198071852635537185)/(139346267232241623387)*a^(13) + (25154935173313820766979)/(46448755744080541129)*a^(12) - (15517150150359944983511)/(46448755744080541129)*a^(11) - (25573098851703072902690)/(139346267232241623387)*a^(10) + (46408844533660608956951)/(46448755744080541129)*a^(9) - (67852450872965011344373)/(46448755744080541129)*a^(8) + (74604923418143590421525)/(139346267232241623387)*a^(7) + (88147331802375711077369)/(139346267232241623387)*a^(6) - (68997163028548686266056)/(139346267232241623387)*a^(5) + (42215582290655320718918)/(139346267232241623387)*a^(4) - (25297292197476602471494)/(46448755744080541129)*a^(3) + (42538718166144374305267)/(139346267232241623387)*a^(2) + (6652803848800206299703)/(46448755744080541129)*a - (19561395716313034238417)/(139346267232241623387) , (95484486138879445513)/(139346267232241623387)*a^(20) - (248813038252775377363)/(139346267232241623387)*a^(19) - (49586970087887952752)/(139346267232241623387)*a^(18) + (1191528875780436089705)/(139346267232241623387)*a^(17) - (3088262147781128297024)/(139346267232241623387)*a^(16) + (1866585988216879612516)/(139346267232241623387)*a^(15) + (1220059441447742117856)/(46448755744080541129)*a^(14) - (10882796767521000815426)/(139346267232241623387)*a^(13) + (5353641014675179636601)/(46448755744080541129)*a^(12) - (3382492082080635087388)/(46448755744080541129)*a^(11) - (5210290880556055313468)/(139346267232241623387)*a^(10) + (9740778985210103673147)/(46448755744080541129)*a^(9) - (14477059404737230063482)/(46448755744080541129)*a^(8) + (16629826436522942477945)/(139346267232241623387)*a^(7) + (18573527703277402443029)/(139346267232241623387)*a^(6) - (15026232483990134385358)/(139346267232241623387)*a^(5) + (8623490684446246205993)/(139346267232241623387)*a^(4) - (5379318715237246986997)/(46448755744080541129)*a^(3) + (9444681390728669845369)/(139346267232241623387)*a^(2) + (1360048368359155239991)/(46448755744080541129)*a - (4445334868565227524977)/(139346267232241623387) , (66548297322686333301)/(46448755744080541129)*a^(20) - (170074145604667358196)/(46448755744080541129)*a^(19) - (40083531210371814092)/(46448755744080541129)*a^(18) + (822904468586526133176)/(46448755744080541129)*a^(17) - (2116925564949881858064)/(46448755744080541129)*a^(16) + (1227875956800747606644)/(46448755744080541129)*a^(15) + (2540406616088634158269)/(46448755744080541129)*a^(14) - (7453641623311504032520)/(46448755744080541129)*a^(13) + (10938862383496664223229)/(46448755744080541129)*a^(12) - (6778550463525799454005)/(46448755744080541129)*a^(11) - (3654401274102293343303)/(46448755744080541129)*a^(10) + (20109506339387268200253)/(46448755744080541129)*a^(9) - (29497205058361583073018)/(46448755744080541129)*a^(8) + (10875742158993023829942)/(46448755744080541129)*a^(7) + (12702224144640988748517)/(46448755744080541129)*a^(6) - (9960289176267123640445)/(46448755744080541129)*a^(5) + (6074751615833264807918)/(46448755744080541129)*a^(4) - (11026318714068417698993)/(46448755744080541129)*a^(3) + (6229390962810818354214)/(46448755744080541129)*a^(2) + (2902862991102951740255)/(46448755744080541129)*a - (2877486294723135942960)/(46448755744080541129) , (861003427017434833957)/(139346267232241623387)*a^(20) - (2187411239113257631351)/(139346267232241623387)*a^(19) - (540235781318823496565)/(139346267232241623387)*a^(18) + (10624452233306176971179)/(139346267232241623387)*a^(17) - (27265930771213742396120)/(139346267232241623387)*a^(16) + (15595601895437810094574)/(139346267232241623387)*a^(15) + (10968528000323268449704)/(46448755744080541129)*a^(14) - (96128629023992697324743)/(139346267232241623387)*a^(13) + (46877370250001513947902)/(46448755744080541129)*a^(12) - (28779431585963058200430)/(46448755744080541129)*a^(11) - (48069482509172545181780)/(139346267232241623387)*a^(10) + (86720349630937939350462)/(46448755744080541129)*a^(9) - (126379730007770334677916)/(46448755744080541129)*a^(8) + (137747239903675969348349)/(139346267232241623387)*a^(7) + (164942728084540122206708)/(139346267232241623387)*a^(6) - (128655508063276339405528)/(139346267232241623387)*a^(5) + (79128507038983779575177)/(139346267232241623387)*a^(4) - (47037103006197231928980)/(46448755744080541129)*a^(3) + (78780107633873101552225)/(139346267232241623387)*a^(2) + (12526776141892062887993)/(46448755744080541129)*a - (36594787467210558621533)/(139346267232241623387) , (228562282446179765149)/(46448755744080541129)*a^(20) - (1748190051471974003887)/(139346267232241623387)*a^(19) - (421932447787721857420)/(139346267232241623387)*a^(18) + (2826370842617451927927)/(46448755744080541129)*a^(17) - (21773615566006459577444)/(139346267232241623387)*a^(16) + (12530673338702204761759)/(139346267232241623387)*a^(15) + (26265754940686517341600)/(139346267232241623387)*a^(14) - (76787445961432577600296)/(139346267232241623387)*a^(13) + (37450167386681072642138)/(46448755744080541129)*a^(12) - (23059005968765347612781)/(46448755744080541129)*a^(11) - (12802580404973092485396)/(46448755744080541129)*a^(10) + (207636803789453163533669)/(139346267232241623387)*a^(9) - (303103190839790323114493)/(139346267232241623387)*a^(8) + (110602295563449333560162)/(139346267232241623387)*a^(7) + (132386709780932495237765)/(139346267232241623387)*a^(6) - (103042002328784631275236)/(139346267232241623387)*a^(5) + (62475065960774895396428)/(139346267232241623387)*a^(4) - (113038824278442771503266)/(139346267232241623387)*a^(3) + (62894170809830053735369)/(139346267232241623387)*a^(2) + (30316092948984023278810)/(139346267232241623387)*a - (29040752487020489927083)/(139346267232241623387) , (424792530437020152397)/(139346267232241623387)*a^(20) - (1076217352455585314693)/(139346267232241623387)*a^(19) - (89862914911448421853)/(46448755744080541129)*a^(18) + (5231145988470257788931)/(139346267232241623387)*a^(17) - (13421845471498081530088)/(139346267232241623387)*a^(16) + (7646694234505407795260)/(139346267232241623387)*a^(15) + (16176549291875344475935)/(139346267232241623387)*a^(14) - (15761221567278435365110)/(46448755744080541129)*a^(13) + (23060609996845264411189)/(46448755744080541129)*a^(12) - (14151679338882904509200)/(46448755744080541129)*a^(11) - (23511528409983458992949)/(139346267232241623387)*a^(10) + (127897907970745416622040)/(139346267232241623387)*a^(9) - (186186387800858135344211)/(139346267232241623387)*a^(8) + (67459856772500442585298)/(139346267232241623387)*a^(7) + (80719525883267865515341)/(139346267232241623387)*a^(6) - (62684123694203854053785)/(139346267232241623387)*a^(5) + (38778907340411148218161)/(139346267232241623387)*a^(4) - (68968570103613976836754)/(139346267232241623387)*a^(3) + (38493638756838598939892)/(139346267232241623387)*a^(2) + (18348940697707913109100)/(139346267232241623387)*a - (5927646650991717861600)/(46448755744080541129) , (293384105899433616086)/(139346267232241623387)*a^(20) - (249414652943130616941)/(46448755744080541129)*a^(19) - (176748365938060056191)/(139346267232241623387)*a^(18) + (3622377270160939274182)/(139346267232241623387)*a^(17) - (3108863568501041457265)/(46448755744080541129)*a^(16) + (1801520517604328378408)/(46448755744080541129)*a^(15) + (11162382155421161267875)/(139346267232241623387)*a^(14) - (32868223114941837240980)/(139346267232241623387)*a^(13) + (16078601958492281757312)/(46448755744080541129)*a^(12) - (9963203968166424224621)/(46448755744080541129)*a^(11) - (16097382740886968741698)/(139346267232241623387)*a^(10) + (88809133874607011971151)/(139346267232241623387)*a^(9) - (130048445727078593701769)/(139346267232241623387)*a^(8) + (16068749575754482757021)/(46448755744080541129)*a^(7) + (18587985255280556699391)/(46448755744080541129)*a^(6) - (14761537890956564678943)/(46448755744080541129)*a^(5) + (9078960175034050453836)/(46448755744080541129)*a^(4) - (48351727683997015505500)/(139346267232241623387)*a^(3) + (9091822664277507867525)/(46448755744080541129)*a^(2) + (12506630592795283367557)/(139346267232241623387)*a - (12496750230115275321578)/(139346267232241623387) , (507002680347280617994)/(139346267232241623387)*a^(20) - (1281470894301055649231)/(139346267232241623387)*a^(19) - (108987771738496131424)/(46448755744080541129)*a^(18) + (6236863098636872413325)/(139346267232241623387)*a^(17) - (15987218370452569635364)/(139346267232241623387)*a^(16) + (9060586548878552048309)/(139346267232241623387)*a^(15) + (19299484735219266821188)/(139346267232241623387)*a^(14) - (18772312067016951528713)/(46448755744080541129)*a^(13) + (27451250698648422325366)/(46448755744080541129)*a^(12) - (16808613405615036168879)/(46448755744080541129)*a^(11) - (28079542908881687138576)/(139346267232241623387)*a^(10) + (152447907359151579227759)/(139346267232241623387)*a^(9) - (221652583747813512643262)/(139346267232241623387)*a^(8) + (80020370018872553663305)/(139346267232241623387)*a^(7) + (96017131735013526707425)/(139346267232241623387)*a^(6) - (74368116007425217317383)/(139346267232241623387)*a^(5) + (46609651945159221764644)/(139346267232241623387)*a^(4) - (82376879261874685076050)/(139346267232241623387)*a^(3) + (45719215351817206931477)/(139346267232241623387)*a^(2) + (21831717501455579400421)/(139346267232241623387)*a - (7007000817568713676098)/(46448755744080541129) , (299659002570398325866)/(139346267232241623387)*a^(20) - (759737757159523689928)/(139346267232241623387)*a^(19) - (64024379705680946400)/(46448755744080541129)*a^(18) + (3693310224963482081692)/(139346267232241623387)*a^(17) - (9467970613377174546197)/(139346267232241623387)*a^(16) + (5388881096770171901692)/(139346267232241623387)*a^(15) + (11456839853050318071245)/(139346267232241623387)*a^(14) - (11116834638582517245565)/(46448755744080541129)*a^(13) + (16278617891390022858650)/(46448755744080541129)*a^(12) - (9954425936887561059495)/(46448755744080541129)*a^(11) - (16742706115983102169678)/(139346267232241623387)*a^(10) + (90333558790740873330538)/(139346267232241623387)*a^(9) - (131616309905645496116536)/(139346267232241623387)*a^(8) + (47324276561151857478707)/(139346267232241623387)*a^(7) + (57067621623778950633152)/(139346267232241623387)*a^(6) - 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