/* 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^20 - 2*x^19 + 7*x^18 + 4*x^17 - 43*x^16 + 82*x^15 - 99*x^14 + 188*x^13 - 483*x^12 + 602*x^11 - 332*x^10 - 246*x^9 + 577*x^8 - 474*x^7 + 615*x^6 - 360*x^5 + 137*x^4 - 60*x^3 - 94*x^2 + 34*x + 13, 20, 853, [8, 6], 56785821522547354778238713856, [2, 3, 401], [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, 1/3*a^17 - 1/3*a^16 - 1/3*a^14 + 1/3*a^12 - 1/3*a^10 - 1/3*a^8 - 1/3*a^7 - 1/3*a^6 - 1/3*a^5 + 1/3*a^4 - 1/3*a^2 - 1/3*a - 1/3, 1/3*a^18 - 1/3*a^16 - 1/3*a^15 - 1/3*a^14 + 1/3*a^13 + 1/3*a^12 - 1/3*a^11 - 1/3*a^10 - 1/3*a^9 + 1/3*a^8 + 1/3*a^7 + 1/3*a^6 + 1/3*a^4 - 1/3*a^3 + 1/3*a^2 + 1/3*a - 1/3, 1/68412965907195083404930970757*a^19 - 3047399917785467513590218286/68412965907195083404930970757*a^18 + 1584164248458469985643739842/22804321969065027801643656919*a^17 + 15419736369408257768800735625/68412965907195083404930970757*a^16 - 6355347067086176003419245860/22804321969065027801643656919*a^15 - 20521278186196220771012263346/68412965907195083404930970757*a^14 - 7796970425011906846223094765/22804321969065027801643656919*a^13 + 28293388083407550549352386722/68412965907195083404930970757*a^12 + 11218878622690962320365598871/22804321969065027801643656919*a^11 - 1105232457201891446292297058/68412965907195083404930970757*a^10 + 12613482286906651584320962310/68412965907195083404930970757*a^9 + 3509666232961268275428426515/68412965907195083404930970757*a^8 + 13275231775360722643900799702/68412965907195083404930970757*a^7 + 25582407557481957965818270708/68412965907195083404930970757*a^6 + 1104419634574344934542797553/22804321969065027801643656919*a^5 - 658485834699996993769649743/68412965907195083404930970757*a^4 - 2401226894635310202843700570/68412965907195083404930970757*a^3 - 8053503313003896443680651366/68412965907195083404930970757*a^2 + 3438440337954910356390131199/22804321969065027801643656919*a + 11350647733148854801043079249/22804321969065027801643656919], 0, 1, [], 1, [ (23582064262938278511292764)/(430270225831415618898936923)*a^(19) - (29835274509377510709775393)/(430270225831415618898936923)*a^(18) + (428019225675157423802483752)/(1290810677494246856696810769)*a^(17) + (597382080116845592567338610)/(1290810677494246856696810769)*a^(16) - (869311226322707003858780458)/(430270225831415618898936923)*a^(15) + (3860413116485769949489606868)/(1290810677494246856696810769)*a^(14) - (1374163342218647425201968208)/(430270225831415618898936923)*a^(13) + (10283721923591369439858025546)/(1290810677494246856696810769)*a^(12) - (8889165184843252785106681090)/(430270225831415618898936923)*a^(11) + (22952682584365553951186917409)/(1290810677494246856696810769)*a^(10) - (2126537460348072608839243798)/(430270225831415618898936923)*a^(9) - (21634611108154071222130970239)/(1290810677494246856696810769)*a^(8) + (24032530678161167690805563600)/(1290810677494246856696810769)*a^(7) - (15052230226533363445420806709)/(1290810677494246856696810769)*a^(6) + (32554709684484881769528798464)/(1290810677494246856696810769)*a^(5) - (2171485905870625909528538390)/(1290810677494246856696810769)*a^(4) + (2374872837382007019974598712)/(430270225831415618898936923)*a^(3) + (487129197587844439213232006)/(1290810677494246856696810769)*a^(2) - (5710934076289716224453878420)/(1290810677494246856696810769)*a - (2221904016191341196264155732)/(1290810677494246856696810769) , (464308350342762667717005357)/(22804321969065027801643656919)*a^(19) - (484792619433778726387929430)/(22804321969065027801643656919)*a^(18) + (7369444060781214844707762893)/(68412965907195083404930970757)*a^(17) + (14620110440599627400447606179)/(68412965907195083404930970757)*a^(16) - (17733787850573288505730034081)/(22804321969065027801643656919)*a^(15) + (59886969093186774333998394931)/(68412965907195083404930970757)*a^(14) - (13351132391370748974554294509)/(22804321969065027801643656919)*a^(13) + (138710224275143828803012726124)/(68412965907195083404930970757)*a^(12) - (143837409886815783738919494815)/(22804321969065027801643656919)*a^(11) + (218535693181564139821565876728)/(68412965907195083404930970757)*a^(10) + (84572684592869695423491364547)/(22804321969065027801643656919)*a^(9) - (760592968316068967000427437399)/(68412965907195083404930970757)*a^(8) + (528502540794768372674452119547)/(68412965907195083404930970757)*a^(7) - (36704986324176791876799276347)/(68412965907195083404930970757)*a^(6) + (340157279892685954274355529288)/(68412965907195083404930970757)*a^(5) + (355159719057214742759434376312)/(68412965907195083404930970757)*a^(4) - (76467177124153722490394774280)/(22804321969065027801643656919)*a^(3) + (261516909744706830339177182491)/(68412965907195083404930970757)*a^(2) - (197766522936820691747435811890)/(68412965907195083404930970757)*a - (82614396143984755549658006318)/(68412965907195083404930970757) , (693596830275123151069467742)/(22804321969065027801643656919)*a^(19) - (1234624875491746482874509856)/(22804321969065027801643656919)*a^(18) + (13956822889809868161471104579)/(68412965907195083404930970757)*a^(17) + (11218911723797654997333706954)/(68412965907195083404930970757)*a^(16) - (28617580593244191444337365573)/(22804321969065027801643656919)*a^(15) + (153673288300728637398869304655)/(68412965907195083404930970757)*a^(14) - (59584237997808353847849167022)/(22804321969065027801643656919)*a^(13) + (358149190793841125647501285550)/(68412965907195083404930970757)*a^(12) - (312685272821864568063767878079)/(22804321969065027801643656919)*a^(11) + (1080091738419429466524291099751)/(68412965907195083404930970757)*a^(10) - (178490256837272699283364858336)/(22804321969065027801643656919)*a^(9) - (584737361797592838399790741355)/(68412965907195083404930970757)*a^(8) + (1032501048550877364693919998616)/(68412965907195083404930970757)*a^(7) - (736302979705958104785120318356)/(68412965907195083404930970757)*a^(6) + (1097562532853345224335239437261)/(68412965907195083404930970757)*a^(5) - (519912407268306262721584237195)/(68412965907195083404930970757)*a^(4) + (124648022705675520000276954042)/(22804321969065027801643656919)*a^(3) - (57060067814716297565388065888)/(68412965907195083404930970757)*a^(2) - (70423400401623827979085851299)/(68412965907195083404930970757)*a + (11655700158998106279758048980)/(68412965907195083404930970757) , (25702708286031305326348908)/(735623289324678316182053449)*a^(19) - (30712475225105040408087437)/(2206869867974034948546160347)*a^(18) + (366812896683145042708581541)/(2206869867974034948546160347)*a^(17) + (1086044537033238312236703721)/(2206869867974034948546160347)*a^(16) - (2371700740986516178546477243)/(2206869867974034948546160347)*a^(15) + (1672943832701988098072990740)/(2206869867974034948546160347)*a^(14) - (121933092480628491309503930)/(2206869867974034948546160347)*a^(13) + (6191384275381799171907581519)/(2206869867974034948546160347)*a^(12) - (18273090920633575422065707558)/(2206869867974034948546160347)*a^(11) - (2529756839388385674390679514)/(2206869867974034948546160347)*a^(10) + (21481426888120653681113134184)/(2206869867974034948546160347)*a^(9) - (12449605147129322282019873605)/(735623289324678316182053449)*a^(8) + (2200831170289675220946064757)/(735623289324678316182053449)*a^(7) + (4112196817818810034727802117)/(735623289324678316182053449)*a^(6) + (12512181935700491248266725411)/(2206869867974034948546160347)*a^(5) + (31376893343162603004427935173)/(2206869867974034948546160347)*a^(4) + (63864120290345756656873067)/(2206869867974034948546160347)*a^(3) + (3947703767823706710681154186)/(735623289324678316182053449)*a^(2) - (1034198484085602575967716102)/(735623289324678316182053449)*a - (3851846348643505972353354416)/(2206869867974034948546160347) , (814388415941024630458606129)/(68412965907195083404930970757)*a^(19) - (1561489798401832047606389160)/(22804321969065027801643656919)*a^(18) + (11430717561189050327014715539)/(68412965907195083404930970757)*a^(17) - (6154755298097314927159016837)/(22804321969065027801643656919)*a^(16) - (48363960553398257712299938150)/(68412965907195083404930970757)*a^(15) + (189400920861730840863184529240)/(68412965907195083404930970757)*a^(14) - (322732940874173827292074736870)/(68412965907195083404930970757)*a^(13) + (463354369676251287334105524757)/(68412965907195083404930970757)*a^(12) - (1000723262240511010730894984020)/(68412965907195083404930970757)*a^(11) + (659318448868139773150339728691)/(22804321969065027801643656919)*a^(10) - (2117370490915624621494719040173)/(68412965907195083404930970757)*a^(9) + (1038001731655875313024150065071)/(68412965907195083404930970757)*a^(8) + (868377276702589711565154833903)/(68412965907195083404930970757)*a^(7) - (1769173794423695179897453759541)/(68412965907195083404930970757)*a^(6) + (1938485792357481769938511311080)/(68412965907195083404930970757)*a^(5) - (2350611841461239745741366320618)/(68412965907195083404930970757)*a^(4) + (1391113500860515675303906644649)/(68412965907195083404930970757)*a^(3) - (925646915810038051882200391579)/(68412965907195083404930970757)*a^(2) + (96650534585249250636454323105)/(22804321969065027801643656919)*a + (151866124010794919990809360870)/(68412965907195083404930970757) , (23582064262938278511292764)/(430270225831415618898936923)*a^(19) - (29835274509377510709775393)/(430270225831415618898936923)*a^(18) + (428019225675157423802483752)/(1290810677494246856696810769)*a^(17) + (597382080116845592567338610)/(1290810677494246856696810769)*a^(16) - (869311226322707003858780458)/(430270225831415618898936923)*a^(15) + (3860413116485769949489606868)/(1290810677494246856696810769)*a^(14) - (1374163342218647425201968208)/(430270225831415618898936923)*a^(13) + (10283721923591369439858025546)/(1290810677494246856696810769)*a^(12) - (8889165184843252785106681090)/(430270225831415618898936923)*a^(11) + (22952682584365553951186917409)/(1290810677494246856696810769)*a^(10) - (2126537460348072608839243798)/(430270225831415618898936923)*a^(9) - (21634611108154071222130970239)/(1290810677494246856696810769)*a^(8) + (24032530678161167690805563600)/(1290810677494246856696810769)*a^(7) - (15052230226533363445420806709)/(1290810677494246856696810769)*a^(6) + (32554709684484881769528798464)/(1290810677494246856696810769)*a^(5) - (2171485905870625909528538390)/(1290810677494246856696810769)*a^(4) + (2374872837382007019974598712)/(430270225831415618898936923)*a^(3) + (487129197587844439213232006)/(1290810677494246856696810769)*a^(2) - (5710934076289716224453878420)/(1290810677494246856696810769)*a - (3512714693685588052960966501)/(1290810677494246856696810769) , (7207946407522003742276996488)/(68412965907195083404930970757)*a^(19) - (15755849110511672163747601324)/(68412965907195083404930970757)*a^(18) + (54114536256380480942825606783)/(68412965907195083404930970757)*a^(17) + (6003122568484202848219633303)/(22804321969065027801643656919)*a^(16) - (102991489292112282307370361829)/(22804321969065027801643656919)*a^(15) + (655715409400104390395983872935)/(68412965907195083404930970757)*a^(14) - (286823472494675251136523514952)/(22804321969065027801643656919)*a^(13) + (1551086154752457943197508123039)/(68412965907195083404930970757)*a^(12) - (1268050158575595205567468893869)/(22804321969065027801643656919)*a^(11) + (1714691710174499591845496638961)/(22804321969065027801643656919)*a^(10) - (3599182933875269918349965469625)/(68412965907195083404930970757)*a^(9) - (305031630873185515442346588261)/(22804321969065027801643656919)*a^(8) + (1436322952430323653740411530019)/(22804321969065027801643656919)*a^(7) - (4475090418349565193133096697212)/(68412965907195083404930970757)*a^(6) + (5476431391672994615391470375830)/(68412965907195083404930970757)*a^(5) - (3751829167000153971811588609787)/(68412965907195083404930970757)*a^(4) + (1969119522755961528247422445376)/(68412965907195083404930970757)*a^(3) - (273241549786765269618740895866)/(22804321969065027801643656919)*a^(2) - (455318397796119883481741375234)/(68412965907195083404930970757)*a + (325083533500982364438899735683)/(68412965907195083404930970757) , (464308350342762667717005357)/(22804321969065027801643656919)*a^(19) - (484792619433778726387929430)/(22804321969065027801643656919)*a^(18) + (7369444060781214844707762893)/(68412965907195083404930970757)*a^(17) + (14620110440599627400447606179)/(68412965907195083404930970757)*a^(16) - (17733787850573288505730034081)/(22804321969065027801643656919)*a^(15) + (59886969093186774333998394931)/(68412965907195083404930970757)*a^(14) - (13351132391370748974554294509)/(22804321969065027801643656919)*a^(13) + (138710224275143828803012726124)/(68412965907195083404930970757)*a^(12) - (143837409886815783738919494815)/(22804321969065027801643656919)*a^(11) + (218535693181564139821565876728)/(68412965907195083404930970757)*a^(10) + (84572684592869695423491364547)/(22804321969065027801643656919)*a^(9) - (760592968316068967000427437399)/(68412965907195083404930970757)*a^(8) + (528502540794768372674452119547)/(68412965907195083404930970757)*a^(7) - (36704986324176791876799276347)/(68412965907195083404930970757)*a^(6) + (340157279892685954274355529288)/(68412965907195083404930970757)*a^(5) + (355159719057214742759434376312)/(68412965907195083404930970757)*a^(4) - (76467177124153722490394774280)/(22804321969065027801643656919)*a^(3) + (261516909744706830339177182491)/(68412965907195083404930970757)*a^(2) - (197766522936820691747435811890)/(68412965907195083404930970757)*a - (14201430236789672144727035561)/(68412965907195083404930970757) , (8008861069549729328734795690)/(68412965907195083404930970757)*a^(19) - (5905858866171284226593224175)/(22804321969065027801643656919)*a^(18) + (20172767600628859378583545392)/(22804321969065027801643656919)*a^(17) + (17501924978941395871677955711)/(68412965907195083404930970757)*a^(16) - (343212039707054694966707515756)/(68412965907195083404930970757)*a^(15) + (243736457791546618156848666016)/(22804321969065027801643656919)*a^(14) - (982545502826644475010338083634)/(68412965907195083404930970757)*a^(13) + (593309564313064779859853332532)/(22804321969065027801643656919)*a^(12) - (4313987954840336729480755414351)/(68412965907195083404930970757)*a^(11) + (5862286207488554927567861570665)/(68412965907195083404930970757)*a^(10) - (4264698186809839192294804262882)/(68412965907195083404930970757)*a^(9) - (193690540413737942670678094770)/(22804321969065027801643656919)*a^(8) + (1523032767844902625060055835553)/(22804321969065027801643656919)*a^(7) - (5051503828150890903631274822005)/(68412965907195083404930970757)*a^(6) + (2150988751879219616291325805770)/(22804321969065027801643656919)*a^(5) - (1502816408726461411154440918140)/(22804321969065027801643656919)*a^(4) + (2382468260699742130875807329440)/(68412965907195083404930970757)*a^(3) - (461256467741366223814843258725)/(22804321969065027801643656919)*a^(2) - (504743475977348626741847321729)/(68412965907195083404930970757)*a + (380854452156659270064601961774)/(68412965907195083404930970757) , (7035526187724007204957173103)/(68412965907195083404930970757)*a^(19) - (15644666303326148434188253888)/(68412965907195083404930970757)*a^(18) + (54153841710926010506537103320)/(68412965907195083404930970757)*a^(17) + (4842755348325037300192690293)/(22804321969065027801643656919)*a^(16) - 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(211557205019508168701431959650)/(68412965907195083404930970757)*a + (151297656947636663454691901509)/(68412965907195083404930970757) , (1658209941284146549120109557)/(22804321969065027801643656919)*a^(19) - (653071178104346082773579847)/(22804321969065027801643656919)*a^(18) + (7809038069567455254121750828)/(22804321969065027801643656919)*a^(17) + (23500998426420441240873158209)/(22804321969065027801643656919)*a^(16) - (51632936900400068240149716920)/(22804321969065027801643656919)*a^(15) + (35487030562582621212068191006)/(22804321969065027801643656919)*a^(14) - (1068800919005638094631081366)/(22804321969065027801643656919)*a^(13) + (126204421271725160543570660149)/(22804321969065027801643656919)*a^(12) - (378076989781840241757684969646)/(22804321969065027801643656919)*a^(11) - (81230236351079075496586001420)/(22804321969065027801643656919)*a^(10) + (507582084615479530218320347887)/(22804321969065027801643656919)*a^(9) - (866491637426412781477732716888)/(22804321969065027801643656919)*a^(8) + (244197023355583337329415573109)/(22804321969065027801643656919)*a^(7) + (212813943087922341152454237460)/(22804321969065027801643656919)*a^(6) + (265293709584627265712481144673)/(22804321969065027801643656919)*a^(5) + (768292284926351011087891350597)/(22804321969065027801643656919)*a^(4) - 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