/* 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 - 4*x^19 - 33*x^18 + 120*x^17 + 468*x^16 - 1392*x^15 - 3799*x^14 + 8012*x^13 + 19008*x^12 - 23720*x^11 - 57969*x^10 + 31228*x^9 + 101057*x^8 - 964*x^7 - 86922*x^6 - 33928*x^5 + 22258*x^4 + 19672*x^3 + 5396*x^2 + 600*x + 20, 20, 32, [20, 0], 8501150111111046013911040000000000, [2, 5, 103], [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, 1/2*a^16 - 1/2*a^14 - 1/2*a^10 - 1/2*a^6 - 1/2*a^4, 1/2*a^17 - 1/2*a^15 - 1/2*a^11 - 1/2*a^7 - 1/2*a^5, 1/2*a^18 - 1/2*a^14 - 1/2*a^12 - 1/2*a^10 - 1/2*a^8 - 1/2*a^4, 1/82002810274962237907721334*a^19 - 2704405118015265707845201/27334270091654079302573778*a^18 + 1364143770733060560334377/9111423363884693100857926*a^17 + 1319449647594948000613637/13667135045827039651286889*a^16 - 2922987935774800558340902/13667135045827039651286889*a^15 - 7289816583162278664412249/27334270091654079302573778*a^14 - 10232864096351809811257237/82002810274962237907721334*a^13 - 7604729200655643438996869/82002810274962237907721334*a^12 - 18185975503173042723510886/41001405137481118953860667*a^11 + 2830885305059406383648489/82002810274962237907721334*a^10 - 7217584424270156738228443/82002810274962237907721334*a^9 + 2736115770984254691790803/9111423363884693100857926*a^8 - 25731620155556499284397157/82002810274962237907721334*a^7 + 9740710922358043928959391/41001405137481118953860667*a^6 - 7940071345925794755435694/41001405137481118953860667*a^5 - 8656629233345913912580459/27334270091654079302573778*a^4 - 10612522750198688723149003/41001405137481118953860667*a^3 + 2512423881699924966250516/41001405137481118953860667*a^2 - 7510918346344883245665982/41001405137481118953860667*a + 19437422686195060676558690/41001405137481118953860667], 0, 1, [], 1, [ (1573208026424821183)/(366414401714770632033)*a^(19) - (9452773003871605217)/(244276267809847088022)*a^(18) - (719462954476342111)/(40712711301641181337)*a^(17) + (124353231103002593050)/(122138133904923544011)*a^(16) - (186189810375181256018)/(122138133904923544011)*a^(15) - (2462004469789282492217)/(244276267809847088022)*a^(14) + (8323751246513783936483)/(366414401714770632033)*a^(13) + (36188995203766998586325)/(732828803429541264066)*a^(12) - (50344188841148091103286)/(366414401714770632033)*a^(11) - (96130820750358549182537)/(732828803429541264066)*a^(10) + (155856582120287962869821)/(366414401714770632033)*a^(9) + (16200291935767819385499)/(81425422603282362674)*a^(8) - (254025026855638935619039)/(366414401714770632033)*a^(7) - (70546464374330385949241)/(366414401714770632033)*a^(6) + (198570347764598393162782)/(366414401714770632033)*a^(5) + (35396798937648476039107)/(244276267809847088022)*a^(4) - (51011330983342746202520)/(366414401714770632033)*a^(3) - (25245931484959713407086)/(366414401714770632033)*a^(2) - (3592614905538485601326)/(366414401714770632033)*a + (94277218462906354471)/(366414401714770632033) , (3398484117382461951770482)/(41001405137481118953860667)*a^(19) - (4820498885548192149412615)/(13667135045827039651286889)*a^(18) - (24037431260428399013441715)/(9111423363884693100857926)*a^(17) + (289013036498088906115676627)/(27334270091654079302573778)*a^(16) + (982630442415246812980994771)/(27334270091654079302573778)*a^(15) - (3367663549211322782733090587)/(27334270091654079302573778)*a^(14) - (11591669415126830938847184259)/(41001405137481118953860667)*a^(13) + (29554561611078235968812416132)/(41001405137481118953860667)*a^(12) + (114252273114454579304171329451)/(82002810274962237907721334)*a^(11) - (182882011559840422097770783637)/(82002810274962237907721334)*a^(10) - (174652669110667198092367244467)/(41001405137481118953860667)*a^(9) + (15352702557374432363727141733)/(4555711681942346550428963)*a^(8) + (621181825256749569960331584133)/(82002810274962237907721334)*a^(7) - (118442687881952987088921838213)/(82002810274962237907721334)*a^(6) - (561330312500599916325383392639)/(82002810274962237907721334)*a^(5) - (43532308790868364285581202067)/(27334270091654079302573778)*a^(4) + (87874724592869066047862743630)/(41001405137481118953860667)*a^(3) + (51391631293467002452571624378)/(41001405137481118953860667)*a^(2) + (8593752224658565468544501572)/(41001405137481118953860667)*a + (287297235649601554735121179)/(41001405137481118953860667) , (3487120007960419264742923)/(41001405137481118953860667)*a^(19) - (4569924300441047119115422)/(13667135045827039651286889)*a^(18) - (13118895508406685730851901)/(4555711681942346550428963)*a^(17) + (140808010629988829427675577)/(13667135045827039651286889)*a^(16) + (569224365088307159448092314)/(13667135045827039651286889)*a^(15) - (1692790137388160565989165647)/(13667135045827039651286889)*a^(14) - (13955343885495056807118564475)/(41001405137481118953860667)*a^(13) + (30724843306898213549137280392)/(41001405137481118953860667)*a^(12) + (69528510078087797276891557237)/(41001405137481118953860667)*a^(11) - (98830941196901815146897813139)/(41001405137481118953860667)*a^(10) - (210486707709904701982781387485)/(41001405137481118953860667)*a^(9) + (17632784963966563624621403279)/(4555711681942346550428963)*a^(8) + (366973516859025479083807106462)/(41001405137481118953860667)*a^(7) - (86601769364963102353004016311)/(41001405137481118953860667)*a^(6) - (324912925785066327530280718916)/(41001405137481118953860667)*a^(5) - (16549585599286861154684001073)/(13667135045827039651286889)*a^(4) + (101608687521790287190270860211)/(41001405137481118953860667)*a^(3) + (49201714673738047186520785448)/(41001405137481118953860667)*a^(2) + (7391511001301994510430237444)/(41001405137481118953860667)*a + (283475963375704030957769401)/(41001405137481118953860667) , (2379326127270783683076155)/(41001405137481118953860667)*a^(19) - (4077391635191900364760682)/(13667135045827039651286889)*a^(18) - (7117764793640084183315263)/(4555711681942346550428963)*a^(17) + (237258898386125865133931899)/(27334270091654079302573778)*a^(16) + (231596079426327207086539298)/(13667135045827039651286889)*a^(15) - (2684164765325013402652059697)/(27334270091654079302573778)*a^(14) - (4321856213648145451742216615)/(41001405137481118953860667)*a^(13) + (23114752533863269098908117630)/(41001405137481118953860667)*a^(12) + (18190636223216057890456159607)/(41001405137481118953860667)*a^(11) - (144371541439779039655927433983)/(82002810274962237907721334)*a^(10) - (53075552996605421441543231012)/(41001405137481118953860667)*a^(9) + (13253896976251962837188300149)/(4555711681942346550428963)*a^(8) + (97083469062604590443787502468)/(41001405137481118953860667)*a^(7) - (174239214099681645379339171067)/(82002810274962237907721334)*a^(6) - (93014379202926141561013234813)/(41001405137481118953860667)*a^(5) + (3600504841131221083141974365)/(27334270091654079302573778)*a^(4) + (31357729927105955457348259022)/(41001405137481118953860667)*a^(3) + (14156812013288077080856769086)/(41001405137481118953860667)*a^(2) + (2981628820006316073432199262)/(41001405137481118953860667)*a + (250358236839520674221073101)/(41001405137481118953860667) , (262088714631576008632709)/(13667135045827039651286889)*a^(19) - (567085153051991776210831)/(4555711681942346550428963)*a^(18) - (1619036780819283087270133)/(4555711681942346550428963)*a^(17) + (31089973309480664118205627)/(9111423363884693100857926)*a^(16) + (4688615489535468874042958)/(4555711681942346550428963)*a^(15) - (323957472235323989012729949)/(9111423363884693100857926)*a^(14) + (212507653818412468579639657)/(13667135045827039651286889)*a^(13) + (2498605561032304166109912203)/(13667135045827039651286889)*a^(12) - (1869573355802046370589533555)/(13667135045827039651286889)*a^(11) - (13327569018903649368193310371)/(27334270091654079302573778)*a^(10) + (6229845128398731509149515166)/(13667135045827039651286889)*a^(9) + (2774144776681977018738611608)/(4555711681942346550428963)*a^(8) - (10253852948762206166393489093)/(13667135045827039651286889)*a^(7) - (4045560787689071549361057731)/(27334270091654079302573778)*a^(6) + (8685363008561570482974566171)/(13667135045827039651286889)*a^(5) - (2755167442441764628078875855)/(9111423363884693100857926)*a^(4) - (4065362442914609360623162144)/(13667135045827039651286889)*a^(3) + (1963144035974140536374640643)/(13667135045827039651286889)*a^(2) + (1290473523448387363250038934)/(13667135045827039651286889)*a + (139638357847762967489154311)/(13667135045827039651286889) , (18304544495092476837066943)/(41001405137481118953860667)*a^(19) - (26785794104427852214224835)/(13667135045827039651286889)*a^(18) - (63529754564084776884698964)/(4555711681942346550428963)*a^(17) + (1609443247787148065689682285)/(27334270091654079302573778)*a^(16) + (2534179778059848147290953753)/(13667135045827039651286889)*a^(15) - (18860285329729296053130080477)/(27334270091654079302573778)*a^(14) - (58314334733117683843162544323)/(41001405137481118953860667)*a^(13) + (167670505481989266154945274842)/(41001405137481118953860667)*a^(12) + (281763636982807939973218073062)/(41001405137481118953860667)*a^(11) - (1068391420643035423006266476135)/(82002810274962237907721334)*a^(10) - (850818472121374489390205577214)/(41001405137481118953860667)*a^(9) + (96911145983362239331442676331)/(4555711681942346550428963)*a^(8) + (1504711400832929687520801846890)/(41001405137481118953860667)*a^(7) - (1100112934380075671734833797875)/(82002810274962237907721334)*a^(6) - (1364152588823992271894930229914)/(41001405137481118953860667)*a^(5) - (90962368625419446876976754291)/(27334270091654079302573778)*a^(4) + (443038755142307999623915942624)/(41001405137481118953860667)*a^(3) + (201639979552916941454199368657)/(41001405137481118953860667)*a^(2) + (29424611205001042254089034610)/(41001405137481118953860667)*a + (1124780066110671577792717429)/(41001405137481118953860667) , (2586543680733305655468877)/(13667135045827039651286889)*a^(19) - (3945734160770151223484242)/(4555711681942346550428963)*a^(18) - (51987506337176844745978967)/(9111423363884693100857926)*a^(17) + (234824102225811469902841433)/(9111423363884693100857926)*a^(16) + (662735197784655515075385511)/(9111423363884693100857926)*a^(15) - (2722963917528424267026349503)/(9111423363884693100857926)*a^(14) - (7353590781550802108263689934)/(13667135045827039651286889)*a^(13) + (23968305782947221574865593831)/(13667135045827039651286889)*a^(12) + (69649279602087527000595711251)/(27334270091654079302573778)*a^(11) - (151552433463919116409314053357)/(27334270091654079302573778)*a^(10) - (104753028207527954254582556134)/(13667135045827039651286889)*a^(9) + (41158556391202951676968797008)/(4555711681942346550428963)*a^(8) + (372657570062479594744708150135)/(27334270091654079302573778)*a^(7) - (159420840947297035150208670823)/(27334270091654079302573778)*a^(6) - (340950925195154496254012826685)/(27334270091654079302573778)*a^(5) - (9871875730174681970662334943)/(9111423363884693100857926)*a^(4) + (55772560166463034839069744622)/(13667135045827039651286889)*a^(3) + (25756287142507845901054725059)/(13667135045827039651286889)*a^(2) + (3917747071958679019398121204)/(13667135045827039651286889)*a + (157093553333888935925451721)/(13667135045827039651286889) , (2941853439561627372771637)/(27334270091654079302573778)*a^(19) - (4036314355037212924107443)/(9111423363884693100857926)*a^(18) - (31972488083787270039452823)/(9111423363884693100857926)*a^(17) + (60897903361659362090564462)/(4555711681942346550428963)*a^(16) + (223489432792018216382411534)/(4555711681942346550428963)*a^(15) - (1428867381822611669456149789)/(9111423363884693100857926)*a^(14) - (10749712782331833834032467633)/(27334270091654079302573778)*a^(13) + (25224485286166304168377013551)/(27334270091654079302573778)*a^(12) + (26710647577674774231806938211)/(13667135045827039651286889)*a^(11) - (78313465844563551178224159553)/(27334270091654079302573778)*a^(10) - (163122045243794106963652945093)/(27334270091654079302573778)*a^(9) + (39355429115643817273183469811)/(9111423363884693100857926)*a^(8) + (287916822174772870993408432859)/(27334270091654079302573778)*a^(7) - (24171143181277113804622538035)/(13667135045827039651286889)*a^(6) - (128490839568664154840770510660)/(13667135045827039651286889)*a^(5) - (20125388378445259843146607873)/(9111423363884693100857926)*a^(4) + (39144934550239640272233031247)/(13667135045827039651286889)*a^(3) + (23153308251081650353541395081)/(13667135045827039651286889)*a^(2) + (4269981382792591169172409451)/(13667135045827039651286889)*a + (244918049378428120911631196)/(13667135045827039651286889) , (1539834835645319761987859)/(41001405137481118953860667)*a^(19) + (316228218420313696556128)/(13667135045827039651286889)*a^(18) - (20319517582420404662660701)/(9111423363884693100857926)*a^(17) + (11291079629012746478412019)/(27334270091654079302573778)*a^(16) + (1252073416906078978817366647)/(27334270091654079302573778)*a^(15) - (487205508683329523455664335)/(27334270091654079302573778)*a^(14) - (18643045002115304823000999191)/(41001405137481118953860667)*a^(13) + (6645353940322563133188296492)/(41001405137481118953860667)*a^(12) + (202543252270762396106201297581)/(82002810274962237907721334)*a^(11) - (44150111666240018126225189275)/(82002810274962237907721334)*a^(10) - (312615863492812824265609109765)/(41001405137481118953860667)*a^(9) + (1170102712079408096653014038)/(4555711681942346550428963)*a^(8) + (1071052281525946923089409453851)/(82002810274962237907721334)*a^(7) + (177586054774386831783896544601)/(82002810274962237907721334)*a^(6) - (910414349048726343885499909427)/(82002810274962237907721334)*a^(5) - (113452886507628811301600792851)/(27334270091654079302573778)*a^(4) + (129527822073355893657088278080)/(41001405137481118953860667)*a^(3) + (86284291370672303863271044552)/(41001405137481118953860667)*a^(2) + (15071407277461629140322872768)/(41001405137481118953860667)*a + (608847689513325898589573012)/(41001405137481118953860667) , (5076361575549680072091136)/(41001405137481118953860667)*a^(19) - (14485396875069430283843357)/(27334270091654079302573778)*a^(18) - (35673181618729199702355215)/(9111423363884693100857926)*a^(17) + (216269363413642972077472954)/(13667135045827039651286889)*a^(16) + (1449104307980711365675994093)/(27334270091654079302573778)*a^(15) - (5016063011319152371403555021)/(27334270091654079302573778)*a^(14) - (17025353833021468132550269852)/(41001405137481118953860667)*a^(13) + (87560865673954339333106377151)/(82002810274962237907721334)*a^(12) + (167572594832667301116749301083)/(82002810274962237907721334)*a^(11) - (269158265605689626701026170441)/(82002810274962237907721334)*a^(10) - (256134956075916569790584900476)/(41001405137481118953860667)*a^(9) + (44771879689834700112745420953)/(9111423363884693100857926)*a^(8) + (910547156227394981238709898329)/(82002810274962237907721334)*a^(7) - (83394048271917065910361801298)/(41001405137481118953860667)*a^(6) - (820751845016789521247189993641)/(82002810274962237907721334)*a^(5) - (65813968946497589307124779959)/(27334270091654079302573778)*a^(4) + (126986188685991665383681687696)/(41001405137481118953860667)*a^(3) + (76190255126207997033940963469)/(41001405137481118953860667)*a^(2) + (13441110446952305275447656052)/(41001405137481118953860667)*a + (548744113131043807825669057)/(41001405137481118953860667) , (23232647726874752182375751)/(82002810274962237907721334)*a^(19) - (33951186802942426982753615)/(27334270091654079302573778)*a^(18) - (40383038887575944735111254)/(4555711681942346550428963)*a^(17) + (1021064790903411800837763629)/(27334270091654079302573778)*a^(16) + (3226852320771039305870607803)/(27334270091654079302573778)*a^(15) - (5990460298421209387516381600)/(13667135045827039651286889)*a^(14) - (74324282223566698183357636253)/(82002810274962237907721334)*a^(13) + (213349325367538707774305313719)/(82002810274962237907721334)*a^(12) + (359186309272997046386768027783)/(82002810274962237907721334)*a^(11) - (340497144921335158517552940808)/(41001405137481118953860667)*a^(10) - (1084374381916782611685367365089)/(82002810274962237907721334)*a^(9) + (123862898668556537687169927737)/(9111423363884693100857926)*a^(8) + (958765456412758274621054421314)/(41001405137481118953860667)*a^(7) - (706896057692376683305881397681)/(82002810274962237907721334)*a^(6) - (1738689368879925428800353193759)/(82002810274962237907721334)*a^(5) - (28597973788412696495745631309)/(13667135045827039651286889)*a^(4) + (282022247989351947678947256142)/(41001405137481118953860667)*a^(3) + (129224323256709155831887267064)/(41001405137481118953860667)*a^(2) + (19599503083824068695325138566)/(41001405137481118953860667)*a + (856766866640309132645995111)/(41001405137481118953860667) , (3811852285352834937971911)/(9111423363884693100857926)*a^(19) - 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