/* 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^18 - 4*x^17 - 50*x^16 - 8*x^15 - 236*x^14 - 344*x^13 + 842*x^12 - 272*x^11 - 1668*x^10 + 2472*x^9 + 1736*x^8 - 3456*x^7 - 904*x^6 + 2256*x^5 + 208*x^4 - 736*x^3 + 96*x - 8, 20, 1025, [8, 6], 11043582468423783283165921017856, [2, 31, 227], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/2*a^8, 1/2*a^9, 1/2*a^10, 1/2*a^11, 1/2*a^12, 1/2*a^13, 1/4*a^14 - 1/2*a^6, 1/4*a^15 - 1/2*a^7, 1/4*a^16, 1/4*a^17, 1/124*a^18 - 2/31*a^17 - 7/124*a^16 - 15/124*a^15 - 2/31*a^14 + 1/31*a^13 + 3/62*a^12 - 1/62*a^11 - 7/62*a^10 - 7/62*a^9 + 6/31*a^8 - 23/62*a^7 - 5/31*a^6 + 15/31*a^4 + 10/31*a^3 - 7/31*a^2 + 10/31*a - 3/31, 1/18961350460378150803192*a^19 - 4579400024743603075/4740337615094537700798*a^18 + 185573259016917467945/3160225076729691800532*a^17 - 17079192798779846443/249491453426028300042*a^16 - 585669350708586522251/9480675230189075401596*a^15 + 146256342957425353231/2370168807547268850399*a^14 + 1756098722364587405293/9480675230189075401596*a^13 + 608204821065917452931/4740337615094537700798*a^12 - 224698738706178504551/3160225076729691800532*a^11 - 302579618330705882023/2370168807547268850399*a^10 + 636998158995878965553/4740337615094537700798*a^9 - 336846656158053076631/4740337615094537700798*a^8 + 351229342692310629727/4740337615094537700798*a^7 - 1171553204530963263557/2370168807547268850399*a^6 + 600328312337323733203/1580112538364845900266*a^5 + 70693139725094977853/790056269182422950133*a^4 - 906640832292675949834/2370168807547268850399*a^3 - 348021025321459567153/2370168807547268850399*a^2 + 656830324712691006394/2370168807547268850399*a - 1017187123515859089613/2370168807547268850399], 0, 1, [], 1, [ (16398932748611127253)/(152914116615952829058)*a^(19) + (20903074966811466931)/(305828233231905658116)*a^(18) + (26486563823073753119)/(101942744410635219372)*a^(17) - (4120109591742104219)/(16096222801679245164)*a^(16) - (844410040032091401535)/(152914116615952829058)*a^(15) - (666691678466671549003)/(152914116615952829058)*a^(14) - (4314569153960190958369)/(152914116615952829058)*a^(13) - (8443910883749290563355)/(152914116615952829058)*a^(12) + (2781325962739504577105)/(50971372205317609686)*a^(11) + (220008195288051926876)/(76457058307976414529)*a^(10) - (27194874742677642673501)/(152914116615952829058)*a^(9) + (23671755919566721369357)/(152914116615952829058)*a^(8) + (21322038433605603805397)/(76457058307976414529)*a^(7) - (14916000726351118782785)/(76457058307976414529)*a^(6) - (5297426836267438088419)/(25485686102658804843)*a^(5) + (2870539203345650148458)/(25485686102658804843)*a^(4) + (6404023972314586106633)/(76457058307976414529)*a^(3) - (2193925693115993234557)/(76457058307976414529)*a^(2) - (1175253030837879689246)/(76457058307976414529)*a + (300723038319230293013)/(76457058307976414529) , (394209183672185334967)/(4740337615094537700798)*a^(19) + (23280582070151694265)/(2370168807547268850399)*a^(18) + (289949329234843458103)/(1580112538364845900266)*a^(17) - (149949992831262550079)/(498982906852056600084)*a^(16) - (9868623557135431209686)/(2370168807547268850399)*a^(15) - (5641765636326332714821)/(4740337615094537700798)*a^(14) - (1576120993103540222027)/(76457058307976414529)*a^(13) - (150089411325532564245871)/(4740337615094537700798)*a^(12) + (49375953813978472574611)/(790056269182422950133)*a^(11) - (56193837285921679335388)/(2370168807547268850399)*a^(10) - (310714605288166403441720)/(2370168807547268850399)*a^(9) + (913441207314741339635497)/(4740337615094537700798)*a^(8) + (313046190992532087232604)/(2370168807547268850399)*a^(7) - (569950112465557851909950)/(2370168807547268850399)*a^(6) - (42725779155916205896648)/(790056269182422950133)*a^(5) + (98521576091064713415935)/(790056269182422950133)*a^(4) + (19475639604601421254100)/(2370168807547268850399)*a^(3) - (59626859644473275829220)/(2370168807547268850399)*a^(2) - (2030937623737231205288)/(2370168807547268850399)*a - (61638171651045680449)/(2370168807547268850399) , (84158303609075451331)/(305828233231905658116)*a^(19) - (94940983580674679977)/(305828233231905658116)*a^(18) + (73615765502031453931)/(101942744410635219372)*a^(17) - (14922465609226319213)/(8048111400839622582)*a^(16) - (1845636454002566073407)/(152914116615952829058)*a^(15) + (1882896250492147642135)/(152914116615952829058)*a^(14) - (10741484226788378839343)/(152914116615952829058)*a^(13) - (2552954545639274033909)/(152914116615952829058)*a^(12) + (7498068978798181525427)/(25485686102658804843)*a^(11) - (55424122394173966376143)/(152914116615952829058)*a^(10) - (32331581457503460123617)/(152914116615952829058)*a^(9) + (77783827455507908275057)/(76457058307976414529)*a^(8) - (34448320909644067679051)/(76457058307976414529)*a^(7) - (71481365060594474247577)/(76457058307976414529)*a^(6) + (17498583424951430738332)/(25485686102658804843)*a^(5) + (9647093847079584242749)/(25485686102658804843)*a^(4) - (27865797079599650478323)/(76457058307976414529)*a^(3) - (3602150756416075603424)/(76457058307976414529)*a^(2) + (5456683218230766673880)/(76457058307976414529)*a - (368902607009166814391)/(76457058307976414529) , (2080376786673150752311)/(9480675230189075401596)*a^(19) - (1650074237507483859031)/(9480675230189075401596)*a^(18) + (344630745122146875277)/(790056269182422950133)*a^(17) - (149294805953441036410)/(124745726713014150021)*a^(16) - (98235722098407687500965)/(9480675230189075401596)*a^(15) + (67150037441986827332501)/(9480675230189075401596)*a^(14) - (7738692520524825236141)/(152914116615952829058)*a^(13) - (167545176239325808821707)/(4740337615094537700798)*a^(12) + (392882443791783337412539)/(1580112538364845900266)*a^(11) - (1017041494014336369505339)/(4740337615094537700798)*a^(10) - (1465020701825549748818477)/(4740337615094537700798)*a^(9) + (4116966189655021489773377)/(4740337615094537700798)*a^(8) - (599895593122597132260301)/(4740337615094537700798)*a^(7) - (4843007572480198512761495)/(4740337615094537700798)*a^(6) + (411179961559918063417246)/(790056269182422950133)*a^(5) + (366928449046773547007554)/(790056269182422950133)*a^(4) - (811472016173770457391284)/(2370168807547268850399)*a^(3) - (141519500362836733276523)/(2370168807547268850399)*a^(2) + (169802352442356445875197)/(2370168807547268850399)*a - (19788001045853414829764)/(2370168807547268850399) , (823053212223058898813)/(9480675230189075401596)*a^(19) - (378088542161695196384)/(2370168807547268850399)*a^(18) + (881628991139150282753)/(3160225076729691800532)*a^(17) - (3115712082617451137)/(4024055700419811291)*a^(16) - (32346990413480389009271)/(9480675230189075401596)*a^(15) + (15600756471425028812659)/(2370168807547268850399)*a^(14) - (56494999029564460104458)/(2370168807547268850399)*a^(13) + (56247843707953092762155)/(4740337615094537700798)*a^(12) + (158566487910733502969915)/(1580112538364845900266)*a^(11) - (394621930123552248911230)/(2370168807547268850399)*a^(10) + (17271891328412433500411)/(4740337615094537700798)*a^(9) + (26694500880939095431682)/(76457058307976414529)*a^(8) - (1491349451600004522255047)/(4740337615094537700798)*a^(7) - (524329347193454608593695)/(2370168807547268850399)*a^(6) + (251497331465726018710157)/(790056269182422950133)*a^(5) + (1072992938390359681856)/(25485686102658804843)*a^(4) - (312887040380295372687970)/(2370168807547268850399)*a^(3) + (21640883062001102271416)/(2370168807547268850399)*a^(2) + (39343107808369641703957)/(2370168807547268850399)*a - (4092488508189535924207)/(2370168807547268850399) , (1800706461815961615035)/(9480675230189075401596)*a^(19) - (677463115128529154738)/(2370168807547268850399)*a^(18) + (1482298158508386211433)/(3160225076729691800532)*a^(17) - (5733780591273052160)/(4024055700419811291)*a^(16) - (77201328277650637008455)/(9480675230189075401596)*a^(15) + (28926494380319505496960)/(2370168807547268850399)*a^(14) - (110336541616113549693035)/(2370168807547268850399)*a^(13) + (27967805667030702829967)/(4740337615094537700798)*a^(12) + (373634453425405203335309)/(1580112538364845900266)*a^(11) - (711154420309652267177140)/(2370168807547268850399)*a^(10) - (661258499306954257840945)/(4740337615094537700798)*a^(9) + (64071077361306841016810)/(76457058307976414529)*a^(8) - (2211608831920711975865531)/(4740337615094537700798)*a^(7) - (1911922225315119264142979)/(2370168807547268850399)*a^(6) + (552241929152584136710511)/(790056269182422950133)*a^(5) + (8455712976878694034571)/(25485686102658804843)*a^(4) - (895056799242871739809558)/(2370168807547268850399)*a^(3) - (106519442096681978703190)/(2370168807547268850399)*a^(2) + (185606341369449603765181)/(2370168807547268850399)*a - (10888050592002330237037)/(2370168807547268850399) , (171736116041837059877)/(4740337615094537700798)*a^(19) - (415735372650045329056)/(2370168807547268850399)*a^(18) + (67443086295882187864)/(790056269182422950133)*a^(17) - (9651106077610297597)/(16096222801679245164)*a^(16) - (10250523011427658641937)/(9480675230189075401596)*a^(15) + (77325071973821707496711)/(9480675230189075401596)*a^(14) - (17450887352916359668906)/(2370168807547268850399)*a^(13) + (80176407378416773474157)/(2370168807547268850399)*a^(12) + (70153662765065541804104)/(790056269182422950133)*a^(11) - (637426766784003851952673)/(4740337615094537700798)*a^(10) + (159704869172359681928341)/(4740337615094537700798)*a^(9) + (23527376498822082144001)/(76457058307976414529)*a^(8) - (1619721699597689302106887)/(4740337615094537700798)*a^(7) - (1267635733883228858404433)/(4740337615094537700798)*a^(6) + (290784093884052059917582)/(790056269182422950133)*a^(5) + (2415449418725146819834)/(25485686102658804843)*a^(4) - (402336485646354889787216)/(2370168807547268850399)*a^(3) - (19270579553711719293164)/(2370168807547268850399)*a^(2) + (65687130079193735203901)/(2370168807547268850399)*a - (7952663653719773271938)/(2370168807547268850399) , (1448458488448040687639)/(9480675230189075401596)*a^(19) - (466278733305257694289)/(4740337615094537700798)*a^(18) + (271493451681507719468)/(790056269182422950133)*a^(17) - (6964980715392182461)/(8048111400839622582)*a^(16) - (67685732272700722089251)/(9480675230189075401596)*a^(15) + (32106393946150781994229)/(9480675230189075401596)*a^(14) - (174657253509642236804179)/(4740337615094537700798)*a^(13) - (128113270720550459886751)/(4740337615094537700798)*a^(12) + (241382097224802209016593)/(1580112538364845900266)*a^(11) - (580178120162058501775607)/(4740337615094537700798)*a^(10) - (873933697572808989033613)/(4740337615094537700798)*a^(9) + (74032721562480998604313)/(152914116615952829058)*a^(8) + (14421631382378591207791)/(4740337615094537700798)*a^(7) - (2605090379122678287184267)/(4740337615094537700798)*a^(6) + (91903564973123678867435)/(790056269182422950133)*a^(5) + (7592633561163018398051)/(25485686102658804843)*a^(4) - (182694689137612185391330)/(2370168807547268850399)*a^(3) - (186059546175166888284220)/(2370168807547268850399)*a^(2) + (36193139962734300126619)/(2370168807547268850399)*a + (17389356059855908880270)/(2370168807547268850399) , (2273251060114261621519)/(9480675230189075401596)*a^(19) - (27835996798732901521)/(9480675230189075401596)*a^(18) + (438001898776429463443)/(790056269182422950133)*a^(17) - (8061703680986558963)/(8048111400839622582)*a^(16) - (111947411168328626405965)/(9480675230189075401596)*a^(15) - (20569919260288819521181)/(9480675230189075401596)*a^(14) - (142501582879180788472255)/(2370168807547268850399)*a^(13) - (382534465189864784440043)/(4740337615094537700798)*a^(12) + (291762937390320308993275)/(1580112538364845900266)*a^(11) - (396698273024017881380929)/(4740337615094537700798)*a^(10) - (1553525854341145934469497)/(4740337615094537700798)*a^(9) + (83558701010911277877143)/(152914116615952829058)*a^(8) + (1519835021439541978108667)/(4740337615094537700798)*a^(7) - (2887350910040654813573663)/(4740337615094537700798)*a^(6) - (148230811081374017049503)/(790056269182422950133)*a^(5) + (7820797455919860594700)/(25485686102658804843)*a^(4) + (190772048833025185389742)/(2370168807547268850399)*a^(3) - (165825373316260339257584)/(2370168807547268850399)*a^(2) - (45066658254044297059183)/(2370168807547268850399)*a + (9471447206511706236988)/(2370168807547268850399) , (14754354407197807760)/(124745726713014150021)*a^(19) - (20284651629197803193)/(498982906852056600084)*a^(18) + (10130874098869389662)/(41581908904338050007)*a^(17) - (270792320955619375799)/(498982906852056600084)*a^(16) - (2875197656260023542873)/(498982906852056600084)*a^(15) + (549505597856850356521)/(498982906852056600084)*a^(14) - (225812829236725018039)/(8048111400839622582)*a^(13) - (7880299533768729807493)/(249491453426028300042)*a^(12) + (4696665605581258666588)/(41581908904338050007)*a^(11) - (9020331943450412493394)/(124745726713014150021)*a^(10) - (44304497647324959469141)/(249491453426028300042)*a^(9) + (46360974688200057355874)/(124745726713014150021)*a^(8) + (16531842127785024326755)/(249491453426028300042)*a^(7) - (113160594559824609821527)/(249491453426028300042)*a^(6) + (3754542281409166538033)/(41581908904338050007)*a^(5) + (9222827645030987757569)/(41581908904338050007)*a^(4) - (10528837258421209791220)/(124745726713014150021)*a^(3) - (4733643604579977882037)/(124745726713014150021)*a^(2) + (2993813530371353393239)/(124745726713014150021)*a - (381300494458614066010)/(124745726713014150021) , (56066495002813469621)/(152914116615952829058)*a^(19) + (16398932748611127253)/(152914116615952829058)*a^(18) + (81723018326021781805)/(101942744410635219372)*a^(17) - (19424856239646657769)/(16096222801679245164)*a^(16) - (5684931582524446942261)/(305828233231905658116)*a^(15) - (1292942000054599158503)/(152914116615952829058)*a^(14) - (13898384499130650379559)/(152914116615952829058)*a^(13) - (23601443434928024507993)/(152914116615952829058)*a^(12) + (12921359302873216952509)/(50971372205317609686)*a^(11) - (6906108752546750005597)/(152914116615952829058)*a^(10) - (46539448637058381737038)/(76457058307976414529)*a^(9) + (111401500904277254229611)/(152914116615952829058)*a^(8) + (121003191244450904631413)/(152914116615952829058)*a^(7) - (75560864931256071699691)/(76457058307976414529)*a^(6) - (13419352155874269017159)/(25485686102658804843)*a^(5) + (15783575284790426489077)/(25485686102658804843)*a^(4) + (14442533090329551285958)/(76457058307976414529)*a^(3) - (14228446188720770713895)/(76457058307976414529)*a^(2) - (2193925693115993234557)/(76457058307976414529)*a + (1592395787605143267091)/(76457058307976414529) , (441564154215624215689)/(2370168807547268850399)*a^(19) - (597167121667907294203)/(2370168807547268850399)*a^(18) + (1367914474581070238977)/(3160225076729691800532)*a^(17) - (174548800110655801297)/(124745726713014150021)*a^(16) - (77326526900818668263467)/(9480675230189075401596)*a^(15) + (49688364280689516111751)/(4740337615094537700798)*a^(14) - (104966001781253308910443)/(2370168807547268850399)*a^(13) + (9765586349285852490175)/(4740337615094537700798)*a^(12) + (181217375533344962914271)/(790056269182422950133)*a^(11) - (37365806949473057823241)/(152914116615952829058)*a^(10) - (696555928591990528170263)/(4740337615094537700798)*a^(9) + (1776186081935871225271177)/(2370168807547268850399)*a^(8) - (1461699728333945887931953)/(4740337615094537700798)*a^(7) - (1786299953656900989761632)/(2370168807547268850399)*a^(6) + (343383879666844152994897)/(790056269182422950133)*a^(5) + (280633898729112008777341)/(790056269182422950133)*a^(4) - (514257264838439801199251)/(2370168807547268850399)*a^(3) - (180587322577809794520101)/(2370168807547268850399)*a^(2) + (86556235381752836675621)/(2370168807547268850399)*a + (7232730321485545112155)/(2370168807547268850399) , (1974656003811764744383)/(9480675230189075401596)*a^(19) + (95729636626065730040)/(2370168807547268850399)*a^(18) + (1411412476071332612689)/(3160225076729691800532)*a^(17) - (179585404438183769819)/(249491453426028300042)*a^(16) - (24882146098356043537327)/(2370168807547268850399)*a^(15) - (35130062027710749372019)/(9480675230189075401596)*a^(14) - (121013875617559357154422)/(2370168807547268850399)*a^(13) - (196757811133087510261741)/(2370168807547268850399)*a^(12) + (242017226405196453023209)/(1580112538364845900266)*a^(11) - (6506830851264687955183)/(152914116615952829058)*a^(10) - (1657764610815785043568865)/(4740337615094537700798)*a^(9) + (2135696159024737160185781)/(4740337615094537700798)*a^(8) + (946604153359121685448987)/(2370168807547268850399)*a^(7) - (2941253501981547920362967)/(4740337615094537700798)*a^(6) - (186043717336739654890718)/(790056269182422950133)*a^(5) + (299438005216358642479636)/(790056269182422950133)*a^(4) + (175732333852871997167275)/(2370168807547268850399)*a^(3) - (259430818963040181460910)/(2370168807547268850399)*a^(2) - (23382237580647916295707)/(2370168807547268850399)*a + (29348690639438391804292)/(2370168807547268850399) ], 379314385.837, [[x^2 - 2, 1], [x^10 - 4*x^9 - 10*x^8 + 48*x^7 + x^6 - 92*x^5 + 10*x^4 + 60*x^3 + 2*x^2 - 12*x - 2, 1]]]