/* 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 - 6*x^19 + 80*x^17 - 159*x^16 - 386*x^15 + 1378*x^14 + 2228*x^13 - 13382*x^12 + 7190*x^11 + 47310*x^10 - 88740*x^9 + 2755*x^8 + 144532*x^7 - 145638*x^6 + 5538*x^5 + 74689*x^4 - 43330*x^3 + 2546*x^2 + 4380*x - 985, 20, 790, [12, 4], 274167030311132856320000000000000, [2, 5, 3803], [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, 1/90493556898741275453277522865*a^19 - 18692529139227528717446478594/90493556898741275453277522865*a^18 + 24105256626760623971706807992/90493556898741275453277522865*a^17 + 5641594212413454982600920074/90493556898741275453277522865*a^16 + 17902059636589981880397004174/90493556898741275453277522865*a^15 - 31036326397365169109644706738/90493556898741275453277522865*a^14 - 21910168329194970834201054323/90493556898741275453277522865*a^13 + 7830055995312198586064941742/90493556898741275453277522865*a^12 - 17517197325069300828200884478/90493556898741275453277522865*a^11 - 38164535649566567070982845731/90493556898741275453277522865*a^10 + 35421098684244611157719528153/90493556898741275453277522865*a^9 - 35955862538925617901468533589/90493556898741275453277522865*a^8 + 32449307271237193761724988302/90493556898741275453277522865*a^7 + 19343351865767987859872133806/90493556898741275453277522865*a^6 - 9725602475502117212812911131/90493556898741275453277522865*a^5 + 39786502942758395326984986491/90493556898741275453277522865*a^4 - 32731351814713285550103413669/90493556898741275453277522865*a^3 - 6416519257791805461254049423/90493556898741275453277522865*a^2 + 6789511047663332498391489233/18098711379748255090655504573*a + 6087456195672484334921538928/18098711379748255090655504573], 0, 2, [2], 1, [ (57403711880907874357658461858)/(90493556898741275453277522865)*a^(19) - (263507465773975297880494336062)/(90493556898741275453277522865)*a^(18) - (371809490121958623682057600644)/(90493556898741275453277522865)*a^(17) + (4068879484735766067262353123457)/(90493556898741275453277522865)*a^(16) - (3386298545108530859242521268768)/(90493556898741275453277522865)*a^(15) - (26945533409994375026965097057524)/(90493556898741275453277522865)*a^(14) + (41087731854229376533987082165616)/(90493556898741275453277522865)*a^(13) + (185955294781882510021936401888781)/(90493556898741275453277522865)*a^(12) - (505873632587170651300395942547824)/(90493556898741275453277522865)*a^(11) - (301540711226711322936320481683308)/(90493556898741275453277522865)*a^(10) + (2290528420703749681845788881921094)/(90493556898741275453277522865)*a^(9) - (1859932664611605248964332823682267)/(90493556898741275453277522865)*a^(8) - (2466353969195575255206417242478824)/(90493556898741275453277522865)*a^(7) + (4809652850330882863545098118908248)/(90493556898741275453277522865)*a^(6) - (1571592595805056546264016195896278)/(90493556898741275453277522865)*a^(5) - (1888820839794394354424227122804692)/(90493556898741275453277522865)*a^(4) + (1615612980297196449597222962454568)/(90493556898741275453277522865)*a^(3) - (212774892647163728843703777788094)/(90493556898741275453277522865)*a^(2) - (29934006511382992527953808479012)/(18098711379748255090655504573)*a + (8092746929787663989519536108430)/(18098711379748255090655504573) , (20252700843346354440160294872)/(90493556898741275453277522865)*a^(19) - (92594929699258945571813927168)/(90493556898741275453277522865)*a^(18) - (133920210011000466284550502636)/(90493556898741275453277522865)*a^(17) + (1436482756294052937092774649873)/(90493556898741275453277522865)*a^(16) - (1156300646664431284867672254612)/(90493556898741275453277522865)*a^(15) - (9587926067998172697810369034656)/(90493556898741275453277522865)*a^(14) + (14292925288767489679852459630364)/(90493556898741275453277522865)*a^(13) + (66360803952462237551749391012784)/(90493556898741275453277522865)*a^(12) - (177325630088470383627696643932676)/(90493556898741275453277522865)*a^(11) - (113430622568420570263556644858272)/(90493556898741275453277522865)*a^(10) + (810164125684286221395257243816656)/(90493556898741275453277522865)*a^(9) - (627885661585460873224939446040373)/(90493556898741275453277522865)*a^(8) - (907676685547892509829513340350456)/(90493556898741275453277522865)*a^(7) + (1670767313076725802475324540341392)/(90493556898741275453277522865)*a^(6) - (476242828132105810207777452648472)/(90493556898741275453277522865)*a^(5) - (693242446664023982588760288824838)/(90493556898741275453277522865)*a^(4) + (533990287457784675026221369206272)/(90493556898741275453277522865)*a^(3) - (50655039189613909922031582525876)/(90493556898741275453277522865)*a^(2) - (10244069164390545976418593767548)/(18098711379748255090655504573)*a + (2317610228780680034247103981598)/(18098711379748255090655504573) , (47616107722291242044171520644)/(90493556898741275453277522865)*a^(19) - (214543949219748677147153726806)/(90493556898741275453277522865)*a^(18) - (321368535409056058545619696682)/(90493556898741275453277522865)*a^(17) + (3330799810256980278690805256751)/(90493556898741275453277522865)*a^(16) - (2582821985701530504728083121204)/(90493556898741275453277522865)*a^(15) - (22274318090101957845389462560712)/(90493556898741275453277522865)*a^(14) + (32272981417310892767869133176018)/(90493556898741275453277522865)*a^(13) + (154645129994831279836341867285818)/(90493556898741275453277522865)*a^(12) - (405841459666066342716215484767242)/(90493556898741275453277522865)*a^(11) - (266799946111803688484367063506584)/(90493556898741275453277522865)*a^(10) + (1854592477169665755684527898526812)/(90493556898741275453277522865)*a^(9) - (1442327068253923762000945089415941)/(90493556898741275453277522865)*a^(8) - (2034283447886635295151299206070272)/(90493556898741275453277522865)*a^(7) + (3820835576360811281496826466553434)/(90493556898741275453277522865)*a^(6) - (1197511905734375719483571791701934)/(90493556898741275453277522865)*a^(5) - (1511739172157096279161188350517841)/(90493556898741275453277522865)*a^(4) + (1270386933554748820390361016496624)/(90493556898741275453277522865)*a^(3) - (166785406993026912509813885085292)/(90493556898741275453277522865)*a^(2) - (23510166238621840605620280797576)/(18098711379748255090655504573)*a + (6385395839593940210604780240892)/(18098711379748255090655504573) , (99191522095034953701660073573)/(90493556898741275453277522865)*a^(19) - (438553898594266894150641906007)/(90493556898741275453277522865)*a^(18) - (702061364368242192031136242069)/(90493556898741275453277522865)*a^(17) + (6861450913112595480419612043127)/(90493556898741275453277522865)*a^(16) - (4841121615262196090881986531523)/(90493556898741275453277522865)*a^(15) - (46515347689054219078965296199469)/(90493556898741275453277522865)*a^(14) + (63225036347909572094957188126601)/(90493556898741275453277522865)*a^(13) + (325311479429876825476242914212861)/(90493556898741275453277522865)*a^(12) - (816114174463998414937435788452244)/(90493556898741275453277522865)*a^(11) - (608800763187867749122895802010198)/(90493556898741275453277522865)*a^(10) + (3782409435901524587566321797045124)/(90493556898741275453277522865)*a^(9) - (2729317814108127522073204249901802)/(90493556898741275453277522865)*a^(8) - (4315977835347911473589463570890454)/(90493556898741275453277522865)*a^(7) + (7554017266896105199612452940283558)/(90493556898741275453277522865)*a^(6) - (2082384777649712524044818735832768)/(90493556898741275453277522865)*a^(5) - (3104654724092465496709041444281772)/(90493556898741275453277522865)*a^(4) + (2415040029869205805890020668007333)/(90493556898741275453277522865)*a^(3) - (267315642211462288405687357456189)/(90493556898741275453277522865)*a^(2) - (45509783920933405024992917585485)/(18098711379748255090655504573)*a + (11447982922934221889707498385451)/(18098711379748255090655504573) , (35829866806791213683495335194)/(90493556898741275453277522865)*a^(19) - (145363865775602353378783815666)/(90493556898741275453277522865)*a^(18) - (301330349976911519547565815612)/(90493556898741275453277522865)*a^(17) + (2352390861350574887567978260626)/(90493556898741275453277522865)*a^(16) - (948295473634374003569147354249)/(90493556898741275453277522865)*a^(15) - (16862830425128013855595597664537)/(90493556898741275453277522865)*a^(14) + (16788782320006069934386501890748)/(90493556898741275453277522865)*a^(13) + (121362482934572196992531444026773)/(90493556898741275453277522865)*a^(12) - (250093326320999628327533730073692)/(90493556898741275453277522865)*a^(11) - (293835312836993490053449763734344)/(90493556898741275453277522865)*a^(10) + (1238066641966863362747333349257392)/(90493556898741275453277522865)*a^(9) - (589616365987476254706877165384361)/(90493556898741275453277522865)*a^(8) - (1647312803040652822129946534186782)/(90493556898741275453277522865)*a^(7) + (2130538762485764198085653789408114)/(90493556898741275453277522865)*a^(6) - (179407913710853452641797093020499)/(90493556898741275453277522865)*a^(5) - (1032539637369145549129767215302656)/(90493556898741275453277522865)*a^(4) + (542608599515532957203904674761364)/(90493556898741275453277522865)*a^(3) + (5655407411859693813011101717423)/(90493556898741275453277522865)*a^(2) - (11006543858698938985069580800762)/(18098711379748255090655504573)*a + (1717102175104956289940739318072)/(18098711379748255090655504573) , (1304153361238983466872292501)/(90493556898741275453277522865)*a^(19) - (3547900955717698457197996349)/(90493556898741275453277522865)*a^(18) - (15227922379734865940212888663)/(90493556898741275453277522865)*a^(17) + (64137187366784019210091620949)/(90493556898741275453277522865)*a^(16) + (43794655031712735529125231229)/(90493556898741275453277522865)*a^(15) - (531932584918810851095884900253)/(90493556898741275453277522865)*a^(14) - (56170334558455442528918531413)/(90493556898741275453277522865)*a^(13) + (4112766544354361796596137985457)/(90493556898741275453277522865)*a^(12) - (3816710271269438534378285832678)/(90493556898741275453277522865)*a^(11) - (13883680772552204157861725339766)/(90493556898741275453277522865)*a^(10) + (26404899370234853685760437059148)/(90493556898741275453277522865)*a^(9) + (4750798568500077611745066236876)/(90493556898741275453277522865)*a^(8) - (47586130903298947708875438148398)/(90493556898741275453277522865)*a^(7) + (33937536449256414906497840842596)/(90493556898741275453277522865)*a^(6) + (18744954293256908925863112089274)/(90493556898741275453277522865)*a^(5) - (31082338190199745263151379528749)/(90493556898741275453277522865)*a^(4) + (2186133078970447137803678667221)/(90493556898741275453277522865)*a^(3) + (8150470978300164799502211011847)/(90493556898741275453277522865)*a^(2) - (197461763986270571423770342284)/(18098711379748255090655504573)*a - (106763897823286876662477202607)/(18098711379748255090655504573) , (33343095120085366267708772823)/(90493556898741275453277522865)*a^(19) - (165322914099122967797381834657)/(90493556898741275453277522865)*a^(18) - (169186317822879871222817272369)/(90493556898741275453277522865)*a^(17) + (2479028892567242347425693266947)/(90493556898741275453277522865)*a^(16) - (2747032503699875050497482790338)/(90493556898741275453277522865)*a^(15) - (15531346317890927538700118831084)/(90493556898741275453277522865)*a^(14) + (29720954051513857070806172384221)/(90493556898741275453277522865)*a^(13) + (103756217557075682192155952257286)/(90493556898741275453277522865)*a^(12) - (336890473704806536550756684458904)/(90493556898741275453277522865)*a^(11) - (100278936615782972852335669970278)/(90493556898741275453277522865)*a^(10) + (1453094860257323468018212230145224)/(90493556898741275453277522865)*a^(9) - (1475845565283408302907262303835077)/(90493556898741275453277522865)*a^(8) - (1342233461297173930559741450382344)/(90493556898741275453277522865)*a^(7) + (3395001663401029300792995058329308)/(90493556898741275453277522865)*a^(6) - (1475601865862371168123689039240633)/(90493556898741275453277522865)*a^(5) - (1203524319642174457883332803568772)/(90493556898741275453277522865)*a^(4) + (1263954754575970985350481389608753)/(90493556898741275453277522865)*a^(3) - (214945382616200351445354358316744)/(90493556898741275453277522865)*a^(2) - (22945153308299718168393064106646)/(18098711379748255090655504573)*a + (6933436129585621843520634215530)/(18098711379748255090655504573) , (5040440836034597193724932755)/(18098711379748255090655504573)*a^(19) - (22597287318031750745796255758)/(18098711379748255090655504573)*a^(18) - (35554346743283734335665030359)/(18098711379748255090655504573)*a^(17) + (354488906771104698569153744283)/(18098711379748255090655504573)*a^(16) - (252719889669956902957678087805)/(18098711379748255090655504573)*a^(15) - (2413616386997221840951743873642)/(18098711379748255090655504573)*a^(14) + (3315357929263923275975000600787)/(18098711379748255090655504573)*a^(13) + (16874335715675803123055815734344)/(18098711379748255090655504573)*a^(12) - (42445273430988005525873522923730)/(18098711379748255090655504573)*a^(11) - (32585308270034599719308065648142)/(18098711379748255090655504573)*a^(10) + (197947969923742017807032858929010)/(18098711379748255090655504573)*a^(9) - (135653816907698114953784388982475)/(18098711379748255090655504573)*a^(8) - (236864073523934511073640800633753)/(18098711379748255090655504573)*a^(7) + (387040370776683337296845664866799)/(18098711379748255090655504573)*a^(6) - (82659004515157305785340182715812)/(18098711379748255090655504573)*a^(5) - (171180579445429490548551136537546)/(18098711379748255090655504573)*a^(4) + (113288665060672108296437950930519)/(18098711379748255090655504573)*a^(3) - (5631529234661012591412554005659)/(18098711379748255090655504573)*a^(2) - (11080499327039296428991129427077)/(18098711379748255090655504573)*a + (2003351280653601284749450886018)/(18098711379748255090655504573) , (11112395794484434942004915451)/(90493556898741275453277522865)*a^(19) - (55086108240868063982547389234)/(90493556898741275453277522865)*a^(18) - (58665820042671839214263060463)/(90493556898741275453277522865)*a^(17) + (833567956312257225550067313049)/(90493556898741275453277522865)*a^(16) - (888758736063615841028081057396)/(90493556898741275453277522865)*a^(15) - (5307530828521828118543243644208)/(90493556898741275453277522865)*a^(14) + (9840786476156790944775129361127)/(90493556898741275453277522865)*a^(13) + (35657607838492460007833539844572)/(90493556898741275453277522865)*a^(12) - (112388261774199565162214105371163)/(90493556898741275453277522865)*a^(11) - (41779732222210471732326621388841)/(90493556898741275453277522865)*a^(10) + (493114381657633425527473392098698)/(90493556898741275453277522865)*a^(9) - (461822536669498038855708400849424)/(90493556898741275453277522865)*a^(8) - (503543314333579669350850940544453)/(90493556898741275453277522865)*a^(7) + (1108413330584092939064490787572456)/(90493556898741275453277522865)*a^(6) - (389016125806814434332149128598691)/(90493556898741275453277522865)*a^(5) - (437007443453747734066554089361599)/(90493556898741275453277522865)*a^(4) + (372105578327302846907175055219696)/(90493556898741275453277522865)*a^(3) - (41770749295844163559413569410918)/(90493556898741275453277522865)*a^(2) - (6955731344128640387605481547972)/(18098711379748255090655504573)*a + (1670684832651001475853003399363)/(18098711379748255090655504573) , (95108968617274987541720526923)/(90493556898741275453277522865)*a^(19) - (424900665888000792976025445162)/(90493556898741275453277522865)*a^(18) - 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