/* 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 - 5*x^19 + 3*x^18 + 41*x^17 - 83*x^16 - 83*x^15 + 336*x^14 + 305*x^13 - 1641*x^12 + 696*x^11 + 3004*x^10 - 4574*x^9 + 1589*x^8 + 1974*x^7 - 2598*x^6 + 1324*x^5 - 264*x^4 - 69*x^3 + 57*x^2 - 13*x + 1, 20, 1028, [8, 6], 34918889042392681418447265625, [5, 11, 13], [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, 1/571*a^18 + 91/571*a^17 - 220/571*a^16 + 167/571*a^15 - 151/571*a^14 + 134/571*a^13 + 177/571*a^12 - 97/571*a^11 - 180/571*a^10 - 64/571*a^9 - 169/571*a^8 - 150/571*a^7 + 101/571*a^6 - 34/571*a^5 + 24/571*a^4 - 106/571*a^3 + 89/571*a^2 - 9/571*a + 100/571, 1/1345007991421957976791*a^19 + 750875743056355623/1345007991421957976791*a^18 + 215022178470016913645/1345007991421957976791*a^17 - 208104392384470520811/1345007991421957976791*a^16 - 533914925737867935286/1345007991421957976791*a^15 + 59415453607423621110/1345007991421957976791*a^14 - 497958483765425910900/1345007991421957976791*a^13 - 518029689673025725682/1345007991421957976791*a^12 - 548042498308268357752/1345007991421957976791*a^11 + 319085431227224486359/1345007991421957976791*a^10 - 366091121364111508934/1345007991421957976791*a^9 - 125687046894165762081/1345007991421957976791*a^8 + 281019792027434765727/1345007991421957976791*a^7 - 632836302029477162077/1345007991421957976791*a^6 - 388935178535222565262/1345007991421957976791*a^5 + 364833875715803304596/1345007991421957976791*a^4 - 372798668272598099058/1345007991421957976791*a^3 + 154008036456469751720/1345007991421957976791*a^2 + 224262866752164997043/1345007991421957976791*a - 632297992251172341577/1345007991421957976791], 0, 1, [], 1, [ (10870334467681113627)/(2355530632963148821)*a^(19) - (51362641127581385934)/(2355530632963148821)*a^(18) + (18558182844648784820)/(2355530632963148821)*a^(17) + (450438169896044675014)/(2355530632963148821)*a^(16) - (778202612239669627954)/(2355530632963148821)*a^(15) - (1113253320276342272993)/(2355530632963148821)*a^(14) + (3340618030549108108274)/(2355530632963148821)*a^(13) + (4227221999744759927960)/(2355530632963148821)*a^(12) - (16651555728345910023035)/(2355530632963148821)*a^(11) + (3011719363526167674529)/(2355530632963148821)*a^(10) + (33363748378935983093990)/(2355530632963148821)*a^(9) - (40511403810227841805044)/(2355530632963148821)*a^(8) + (6370211595714557757356)/(2355530632963148821)*a^(7) + (22901701420553154002658)/(2355530632963148821)*a^(6) - (21899618747218495828112)/(2355530632963148821)*a^(5) + (8557989915239145476895)/(2355530632963148821)*a^(4) - (678990547208403384034)/(2355530632963148821)*a^(3) - (889270874566487777916)/(2355530632963148821)*a^(2) + (376540937628737593875)/(2355530632963148821)*a - (42349673246419424491)/(2355530632963148821) , (1416495206323826987763)/(1345007991421957976791)*a^(19) - (6222400885903247751292)/(1345007991421957976791)*a^(18) + (528555166160476664484)/(1345007991421957976791)*a^(17) + (58133827936173253267280)/(1345007991421957976791)*a^(16) - (82198660632224711328003)/(1345007991421957976791)*a^(15) - (165126706831539699962262)/(1345007991421957976791)*a^(14) + (371860029202210614551355)/(1345007991421957976791)*a^(13) + (651778893649889287125637)/(1345007991421957976791)*a^(12) - (1912158406811538809676511)/(1345007991421957976791)*a^(11) - (151883239089368695648479)/(1345007991421957976791)*a^(10) + (4079587462726752225102531)/(1345007991421957976791)*a^(9) - (3992308913263482891560883)/(1345007991421957976791)*a^(8) - (4616709560055786857148)/(1345007991421957976791)*a^(7) + (2595567432679151673404072)/(1345007991421957976791)*a^(6) - (2075081401483775111633469)/(1345007991421957976791)*a^(5) + (728625046250536615164751)/(1345007991421957976791)*a^(4) - (42130393280794145205413)/(1345007991421957976791)*a^(3) - (79011415755010736322378)/(1345007991421957976791)*a^(2) + (31418606001937072115430)/(1345007991421957976791)*a - (4941150147191444236429)/(1345007991421957976791) , (13610374642836679485)/(2355530632963148821)*a^(19) - (65311833039027831567)/(2355530632963148821)*a^(18) + (26881932017063592822)/(2355530632963148821)*a^(17) + (566349109528718666887)/(2355530632963148821)*a^(16) - (1013750155722770405382)/(2355530632963148821)*a^(15) - (1365208638838545174683)/(2355530632963148821)*a^(14) + (4321130561430921405270)/(2355530632963148821)*a^(13) + (5131676796947000539921)/(2355530632963148821)*a^(12) - (21430169991692750422924)/(2355530632963148821)*a^(11) + (4694206488067488521671)/(2355530632963148821)*a^(10) + (42568052551622706020082)/(2355530632963148821)*a^(9) - (53049549443648249038298)/(2355530632963148821)*a^(8) + (9088739674047076468411)/(2355530632963148821)*a^(7) + (29585407623292124014445)/(2355530632963148821)*a^(6) - (28676047119350723290243)/(2355530632963148821)*a^(5) + (11243707654983536176009)/(2355530632963148821)*a^(4) - (907421165964492684926)/(2355530632963148821)*a^(3) - (1167546469111820185357)/(2355530632963148821)*a^(2) + (497515760096358323204)/(2355530632963148821)*a - (55960047889256103976)/(2355530632963148821) , (20836948307516178548)/(2355530632963148821)*a^(19) - (95503966086368780978)/(2355530632963148821)*a^(18) + (23381837265935112194)/(2355530632963148821)*a^(17) + (861292069101231128099)/(2355530632963148821)*a^(16) - (1370953993374808701192)/(2355530632963148821)*a^(15) - (2273594740340432957850)/(2355530632963148821)*a^(14) + (6021071359097471939058)/(2355530632963148821)*a^(13) + (8779997286971831306987)/(2355530632963148821)*a^(12) - (30378300397543367657196)/(2355530632963148821)*a^(11) + (2181670151847372345793)/(2355530632963148821)*a^(10) + (62676080204828773024135)/(2355530632963148821)*a^(9) - (69433825165844867181701)/(2355530632963148821)*a^(8) + (6051505424903236871532)/(2355530632963148821)*a^(7) + (42159122357705195712206)/(2355530632963148821)*a^(6) - (36900572350363267690834)/(2355530632963148821)*a^(5) + (13400576721307668947388)/(2355530632963148821)*a^(4) - (655351341051104541595)/(2355530632963148821)*a^(3) - (1541712606143846336070)/(2355530632963148821)*a^(2) + (577117130180824386702)/(2355530632963148821)*a - (63352593170429749995)/(2355530632963148821) , (181113775462058975017)/(1345007991421957976791)*a^(19) - (298626322123920532837)/(1345007991421957976791)*a^(18) - (1814278014193110974432)/(1345007991421957976791)*a^(17) + (6440199592827979649560)/(1345007991421957976791)*a^(16) + (9454232274194501314727)/(1345007991421957976791)*a^(15) - (37864863262137179825380)/(1345007991421957976791)*a^(14) - (22146924533196594647725)/(1345007991421957976791)*a^(13) + (173851350818938234075663)/(1345007991421957976791)*a^(12) + (43930791506889022512898)/(1345007991421957976791)*a^(11) - (526033602486069590005298)/(1345007991421957976791)*a^(10) + (142272606274224128600536)/(1345007991421957976791)*a^(9) + (745430949070660300217344)/(1345007991421957976791)*a^(8) - (629348484357139388288360)/(1345007991421957976791)*a^(7) - (170823851983402106131368)/(1345007991421957976791)*a^(6) + (437562716421780467672726)/(1345007991421957976791)*a^(5) - (189030458410983339088863)/(1345007991421957976791)*a^(4) + (6922541647732399799246)/(1345007991421957976791)*a^(3) + (29905715906183901231405)/(1345007991421957976791)*a^(2) - (14534253361119327089948)/(1345007991421957976791)*a - (720098483884480410271)/(1345007991421957976791) , a , (6671261490249465062650)/(1345007991421957976791)*a^(19) - (31375585207028293864296)/(1345007991421957976791)*a^(18) + (10854461793256700173527)/(1345007991421957976791)*a^(17) + (276104106993479099485212)/(1345007991421957976791)*a^(16) - (471885862299266862890738)/(1345007991421957976791)*a^(15) - (687380612764003297625983)/(1345007991421957976791)*a^(14) + (2030307212093259952417696)/(1345007991421957976791)*a^(13) + (2616497587794148358397671)/(1345007991421957976791)*a^(12) - (10135117925504471770380160)/(1345007991421957976791)*a^(11) + (1718846311942022896537289)/(1345007991421957976791)*a^(10) + (20360968284168581465756693)/(1345007991421957976791)*a^(9) - (24551704217055546422523131)/(1345007991421957976791)*a^(8) + (3757536000618683766504265)/(1345007991421957976791)*a^(7) + (13987106249985166833699748)/(1345007991421957976791)*a^(6) - (13317663727730866149340415)/(1345007991421957976791)*a^(5) + (5152603484418403065656858)/(1345007991421957976791)*a^(4) - (359916346591005660728315)/(1345007991421957976791)*a^(3) - (553983524627059206283371)/(1345007991421957976791)*a^(2) + (226608410246153550863668)/(1345007991421957976791)*a - (23913798881088169068799)/(1345007991421957976791) , (9370702688877071076792)/(1345007991421957976791)*a^(19) - (44133232071035285715247)/(1345007991421957976791)*a^(18) + (15245352836178705694724)/(1345007991421957976791)*a^(17) + (388849968746675801587133)/(1345007991421957976791)*a^(16) - (664826672694942267290274)/(1345007991421957976791)*a^(15) - (973041031212112189446067)/(1345007991421957976791)*a^(14) + (2868540472391065673416729)/(1345007991421957976791)*a^(13) + (3698382886947504699180999)/(1345007991421957976791)*a^(12) - (14315808154114633428481719)/(1345007991421957976791)*a^(11) + (2335665937696401345347906)/(1345007991421957976791)*a^(10) + (28893191471577229855097094)/(1345007991421957976791)*a^(9) - (34441064231132551061148200)/(1345007991421957976791)*a^(8) + (4739682220892780083436541)/(1345007991421957976791)*a^(7) + (19971810026318430472900079)/(1345007991421957976791)*a^(6) - (18503918431639081435903928)/(1345007991421957976791)*a^(5) + (6944195769221971659562997)/(1345007991421957976791)*a^(4) - (409279031840599960877569)/(1345007991421957976791)*a^(3) - (774068377930182582741528)/(1345007991421957976791)*a^(2) + (304641849490869721148408)/(1345007991421957976791)*a - (30602686458725298717745)/(1345007991421957976791) , (2100704576979222304995)/(1345007991421957976791)*a^(19) - (9239259380995918176759)/(1345007991421957976791)*a^(18) + (627621420950150531443)/(1345007991421957976791)*a^(17) + (86964726194036594272220)/(1345007991421957976791)*a^(16) - (121912649203843283154997)/(1345007991421957976791)*a^(15) - (252287518692815636725849)/(1345007991421957976791)*a^(14) + (558945811830967031859446)/(1345007991421957976791)*a^(13) + (991417626891954604366513)/(1345007991421957976791)*a^(12) - (2874437304194025595579798)/(1345007991421957976791)*a^(11) - (326500004614995056374768)/(1345007991421957976791)*a^(10) + (6242347613972010557195566)/(1345007991421957976791)*a^(9) - (5803071957517140204543578)/(1345007991421957976791)*a^(8) - (444262039411053346022980)/(1345007991421957976791)*a^(7) + (4105127065229529619228569)/(1345007991421957976791)*a^(6) - (2948376274762131916429190)/(1345007991421957976791)*a^(5) + (842229659649624898906300)/(1345007991421957976791)*a^(4) + (62289542011338180441919)/(1345007991421957976791)*a^(3) - (143427649850710331430823)/(1345007991421957976791)*a^(2) + (37875592363712219357267)/(1345007991421957976791)*a - (3444468010037860665620)/(1345007991421957976791) , (9018300771990060622520)/(1345007991421957976791)*a^(19) - (41212218494553306238447)/(1345007991421957976791)*a^(18) + (9601730139589658895499)/(1345007991421957976791)*a^(17) + (652844941356134342580)/(2355530632963148821)*a^(16) - (588452051253930775976975)/(1345007991421957976791)*a^(15) - (990533228699162894813424)/(1345007991421957976791)*a^(14) + (2592124585446134470524302)/(1345007991421957976791)*a^(13) + (3829845524476657774123036)/(1345007991421957976791)*a^(12) - (13092801844397959171146826)/(1345007991421957976791)*a^(11) + (790284197719369522028063)/(1345007991421957976791)*a^(10) + (27115133966407367585512790)/(1345007991421957976791)*a^(9) - (29720775812243230273822471)/(1345007991421957976791)*a^(8) + (2275506175710734334059749)/(1345007991421957976791)*a^(7) + (18257308332228060962750367)/(1345007991421957976791)*a^(6) - (15735290212601504266847846)/(1345007991421957976791)*a^(5) + (5608305921346918566891604)/(1345007991421957976791)*a^(4) - (230193301068275800818704)/(1345007991421957976791)*a^(3) - (659597642468492964854526)/(1345007991421957976791)*a^(2) + (243155133932854940307057)/(1345007991421957976791)*a - (25203936022789586067042)/(1345007991421957976791) , (4411616549235242736232)/(1345007991421957976791)*a^(19) - (19666636256257839705010)/(1345007991421957976791)*a^(18) + (2106840305423289320155)/(1345007991421957976791)*a^(17) + (183930972023222553884041)/(1345007991421957976791)*a^(16) - (266116379432856123985576)/(1345007991421957976791)*a^(15) - (529305557080018926472245)/(1345007991421957976791)*a^(14) + (1217013271584914548559932)/(1345007991421957976791)*a^(13) + (2064108026050653856943858)/(1345007991421957976791)*a^(12) - (6224537879613390360521317)/(1345007991421957976791)*a^(11) - (542139968643598305636635)/(1345007991421957976791)*a^(10) + (13511186939041915749878077)/(1345007991421957976791)*a^(9) - (12672037373915503274873906)/(1345007991421957976791)*a^(8) - (1108033025931341265850244)/(1345007991421957976791)*a^(7) + (9102052518293367090202620)/(1345007991421957976791)*a^(6) - (6340419124641944292224628)/(1345007991421957976791)*a^(5) + (1639168647633400422019399)/(1345007991421957976791)*a^(4) + (233906599319394068853488)/(1345007991421957976791)*a^(3) - (315859601744881488140361)/(1345007991421957976791)*a^(2) + (61149310928628670268168)/(1345007991421957976791)*a + (1517856815873466363722)/(1345007991421957976791) , (3367467951573946675859)/(1345007991421957976791)*a^(19) - (14108186978477622421299)/(1345007991421957976791)*a^(18) - (1899278772382724705398)/(1345007991421957976791)*a^(17) + (138902997167913762540009)/(1345007991421957976791)*a^(16) - (166628569927316073131671)/(1345007991421957976791)*a^(15) - (437863397503338312800829)/(1345007991421957976791)*a^(14) + (804740860029807126601910)/(1345007991421957976791)*a^(13) + (1752020722082713942712491)/(1345007991421957976791)*a^(12) - (4241339348455361929522009)/(1345007991421957976791)*a^(11) - (1384878955320175330360049)/(1345007991421957976791)*a^(10) + (9705171897712138824241324)/(1345007991421957976791)*a^(9) - (7321539390440822886930608)/(1345007991421957976791)*a^(8) - (2201701614733210054552129)/(1345007991421957976791)*a^(7) + (6128976550099267724062733)/(1345007991421957976791)*a^(6) - (3456585845966130609224049)/(1345007991421957976791)*a^(5) + (624607312500471716879164)/(1345007991421957976791)*a^(4) + (230836443801132029223430)/(1345007991421957976791)*a^(3) - (169922900713177515973657)/(1345007991421957976791)*a^(2) + (16418649774906499828214)/(1345007991421957976791)*a + (969573963071646529562)/(1345007991421957976791) , (1235381430861768012746)/(1345007991421957976791)*a^(19) - (5923774563779327218455)/(1345007991421957976791)*a^(18) + (2342833180353587638916)/(1345007991421957976791)*a^(17) + (51693628343345273617720)/(1345007991421957976791)*a^(16) - (91652892906419212642730)/(1345007991421957976791)*a^(15) - (127261843569402520136882)/(1345007991421957976791)*a^(14) + (394006953735407209199080)/(1345007991421957976791)*a^(13) + (477927542830951053049974)/(1345007991421957976791)*a^(12) - (1956089198318427832189409)/(1345007991421957976791)*a^(11) + (374150363396700894356819)/(1345007991421957976791)*a^(10) + (3937314856452528096501995)/(1345007991421957976791)*a^(9) - (4737739862334143191778227)/(1345007991421957976791)*a^(8) + (624731774797083601431212)/(1345007991421957976791)*a^(7) + (2766391284662553779535440)/(1345007991421957976791)*a^(6) - (2512644117905555579306195)/(1345007991421957976791)*a^(5) + (917655504661519954253614)/(1345007991421957976791)*a^(4) - (49052934928526545004659)/(1345007991421957976791)*a^(3) - (108917131661194637553783)/(1345007991421957976791)*a^(2) + (45952859363056399205378)/(1345007991421957976791)*a - (5566059654728921802949)/(1345007991421957976791) ], 4235047.62992, [[x^2 - x - 1, 1], [x^10 - x^9 + x^8 + 3*x^7 - x^6 + x^5 - 7*x^4 - 8*x^3 + 4*x^2 + 5*x + 1, 1]]]