/* 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 + 35*x^18 + 196*x^16 - 1397*x^14 - 7381*x^12 + 33716*x^10 + 51626*x^8 - 383254*x^6 + 586208*x^4 - 315660*x^2 + 32281, 20, 756, [12, 4], 358950742275544609437706240000000000, [2, 5, 19, 1699], [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, 1/211*a^16 + 102/211*a^14 - 53/211*a^12 - 97/211*a^10 + 76/211*a^8 + 19/211*a^6 + 102/211*a^4 + 45/211*a^2 - 102/211, 1/211*a^17 + 102/211*a^15 - 53/211*a^13 - 97/211*a^11 + 76/211*a^9 + 19/211*a^7 + 102/211*a^5 + 45/211*a^3 - 102/211*a, 1/30743336535938477116787*a^18 - 5649093946972984821/2794848775994407010617*a^16 - 11387807667361113899671/30743336535938477116787*a^14 - 9238616058460553170270/30743336535938477116787*a^12 + 4400672510130986355379/30743336535938477116787*a^10 + 79328105952194291374/30743336535938477116787*a^8 + 101199321570323174695/30743336535938477116787*a^6 + 13011341337969979149776/30743336535938477116787*a^4 - 8770762536944779272133/30743336535938477116787*a^2 - 2920964286713521689478/30743336535938477116787, 1/30743336535938477116787*a^19 - 5649093946972984821/2794848775994407010617*a^17 - 11387807667361113899671/30743336535938477116787*a^15 - 9238616058460553170270/30743336535938477116787*a^13 + 4400672510130986355379/30743336535938477116787*a^11 + 79328105952194291374/30743336535938477116787*a^9 + 101199321570323174695/30743336535938477116787*a^7 + 13011341337969979149776/30743336535938477116787*a^5 - 8770762536944779272133/30743336535938477116787*a^3 - 2920964286713521689478/30743336535938477116787*a], 0, 1, [], 1, [ (174698750934)/(1063999421333603)*a^(18) + (6289553349386)/(1063999421333603)*a^(16) + (40489136352460)/(1063999421333603)*a^(14) - (205572523441981)/(1063999421333603)*a^(12) - (1512351749523720)/(1063999421333603)*a^(10) + (4398397973191076)/(1063999421333603)*a^(8) + (13899981206822242)/(1063999421333603)*a^(6) - (53101483405982604)/(1063999421333603)*a^(4) + (45655627742904275)/(1063999421333603)*a^(2) - (5785576100128419)/(1063999421333603) , (3211759251496409640)/(30743336535938477116787)*a^(18) + (10827386462059948615)/(2794848775994407010617)*a^(16) + (874937671172654149789)/(30743336535938477116787)*a^(14) - (2760526531448024076986)/(30743336535938477116787)*a^(12) - (30121369103264528497759)/(30743336535938477116787)*a^(10) + (47920321976957807665092)/(30743336535938477116787)*a^(8) + (288382679577256279882358)/(30743336535938477116787)*a^(6) - (668029589740127612196821)/(30743336535938477116787)*a^(4) + (288230313719075565971745)/(30743336535938477116787)*a^(2) + (61108385781644498124666)/(30743336535938477116787) , (3668950563337644190)/(30743336535938477116787)*a^(18) + (12035032986914238356)/(2794848775994407010617)*a^(16) + (862777019743628146100)/(30743336535938477116787)*a^(14) - (4177194850683672915302)/(30743336535938477116787)*a^(12) - (31435003520643363527961)/(30743336535938477116787)*a^(10) + (90338404507089241296107)/(30743336535938477116787)*a^(8) + (287061431166025475915892)/(30743336535938477116787)*a^(6) - (1106091179801978858311622)/(30743336535938477116787)*a^(4) + (923150361591010741398495)/(30743336535938477116787)*a^(2) - (91896462300932111832737)/(30743336535938477116787) , (3211759251496409640)/(30743336535938477116787)*a^(18) + (10827386462059948615)/(2794848775994407010617)*a^(16) + (874937671172654149789)/(30743336535938477116787)*a^(14) - (2760526531448024076986)/(30743336535938477116787)*a^(12) - (30121369103264528497759)/(30743336535938477116787)*a^(10) + (47920321976957807665092)/(30743336535938477116787)*a^(8) + (288382679577256279882358)/(30743336535938477116787)*a^(6) - (668029589740127612196821)/(30743336535938477116787)*a^(4) + (288230313719075565971745)/(30743336535938477116787)*a^(2) + (30365049245706021007879)/(30743336535938477116787) , (11304415048130629905)/(30743336535938477116787)*a^(18) + (37589922775643398081)/(2794848775994407010617)*a^(16) + (2869782289138111331718)/(30743336535938477116787)*a^(14) - (11201148329752748530201)/(30743336535938477116787)*a^(12) - (100669837912419728951890)/(30743336535938477116787)*a^(10) + (221252465410045066371108)/(30743336535938477116787)*a^(8) + (920628017450626349835677)/(30743336535938477116787)*a^(6) - (2871912986104582333477228)/(30743336535938477116787)*a^(4) + (2188643199954789600564601)/(30743336535938477116787)*a^(2) - (264859460679500595246990)/(30743336535938477116787) , (8716718808963510676)/(30743336535938477116787)*a^(18) + (28556048062327070610)/(2794848775994407010617)*a^(16) + (2032675348610196853440)/(30743336535938477116787)*a^(14) - (10117033861871795944851)/(30743336535938477116787)*a^(12) - (75133090064757417767841)/(30743336535938477116787)*a^(10) + (217426282937810732888911)/(30743336535938477116787)*a^(8) + (688689281253523016333110)/(30743336535938477116787)*a^(6) - (2640412291425799590043538)/(30743336535938477116787)*a^(4) + (2242329959170465697899970)/(30743336535938477116787)*a^(2) - (289808981013298044101575)/(30743336535938477116787) , (6230091129030718056)/(30743336535938477116787)*a^(18) + (20799443182845299992)/(2794848775994407010617)*a^(16) + (1616200825154841414968)/(30743336535938477116787)*a^(14) - (5889464191896451627055)/(30743336535938477116787)*a^(12) - (55864429446888455430310)/(30743336535938477116787)*a^(10) + (113322937209888791220741)/(30743336535938477116787)*a^(8) + (505620733255356238628916)/(30743336535938477116787)*a^(6) - (1508489969360277564542718)/(30743336535938477116787)*a^(4) + (1189516141400870915120679)/(30743336535938477116787)*a^(2) - (209207245324932737737970)/(30743336535938477116787) , (3668950563337644190)/(30743336535938477116787)*a^(18) + (12035032986914238356)/(2794848775994407010617)*a^(16) + (862777019743628146100)/(30743336535938477116787)*a^(14) - (4177194850683672915302)/(30743336535938477116787)*a^(12) - (31435003520643363527961)/(30743336535938477116787)*a^(10) + (90338404507089241296107)/(30743336535938477116787)*a^(8) + (287061431166025475915892)/(30743336535938477116787)*a^(6) - (1106091179801978858311622)/(30743336535938477116787)*a^(4) + (923150361591010741398495)/(30743336535938477116787)*a^(2) - (61153125764993634715950)/(30743336535938477116787) , (4382053634439972272)/(30743336535938477116787)*a^(18) + (14367470440434949742)/(2794848775994407010617)*a^(16) + (1031971193866467443147)/(30743336535938477116787)*a^(14) - (4840537229555912490910)/(30743336535938477116787)*a^(12) - (35866293708788993203718)/(30743336535938477116787)*a^(10) + (109484915038816043539588)/(30743336535938477116787)*a^(8) + (304903559926207131402218)/(30743336535938477116787)*a^(6) - (1369762776758810571518762)/(30743336535938477116787)*a^(4) + (1380248572372208665738435)/(30743336535938477116787)*a^(2) - (242721224957780785124064)/(30743336535938477116787) , (6661313924161908232)/(30743336535938477116787)*a^(19) + (16032247885069349789)/(30743336535938477116787)*a^(18) + (22067402461927746524)/(2794848775994407010617)*a^(17) + (52443350146197736087)/(2794848775994407010617)*a^(16) + (1647588444419828006985)/(30743336535938477116787)*a^(15) + (3697909153697766918871)/(30743336535938477116787)*a^(14) - (7227976653739226393598)/(30743336535938477116787)*a^(13) - (19201363224020033404576)/(30743336535938477116787)*a^(12) - (62073986929614669081344)/(30743336535938477116787)*a^(11) - (141254589440694223509351)/(30743336535938477116787)*a^(10) + (138086126468857389666762)/(30743336535938477116787)*a^(9) + (401354954214762430505699)/(30743336535938477116787)*a^(8) + (613278015264046306270219)/(30743336535938477116787)*a^(7) + (1320820121412751436540796)/(30743336535938477116787)*a^(6) - (1702765596401517168213139)/(30743336535938477116787)*a^(5) - (4784574038751876872986183)/(30743336535938477116787)*a^(4) + (855074681556168416499727)/(30743336535938477116787)*a^(3) + (3936464300525298862193359)/(30743336535938477116787)*a^(2) + (200410322404097972137552)/(30743336535938477116787)*a - (543054463854419877794298)/(30743336535938477116787) , (119561676537383680609)/(30743336535938477116787)*a^(19) - (110363528770391046461)/(30743336535938477116787)*a^(18) + (400807575598036653621)/(2794848775994407010617)*a^(17) - (369679229824419086070)/(2794848775994407010617)*a^(16) + (31704473645294654258047)/(30743336535938477116787)*a^(15) - (29155431042979513177075)/(30743336535938477116787)*a^(14) - (107494909558504108281759)/(30743336535938477116787)*a^(13) + (99705830844266593982386)/(30743336535938477116787)*a^(12) - (1083513587556027888999987)/(30743336535938477116787)*a^(11) + (993230879731607766436200)/(30743336535938477116787)*a^(10) + (1998237392629535521751220)/(30743336535938477116787)*a^(9) - (1880367251624020986605137)/(30743336535938477116787)*a^(8) + (9909018796591608583513972)/(30743336535938477116787)*a^(7) - (9010036524465058779689350)/(30743336535938477116787)*a^(6) - (27204806475376286233955673)/(30743336535938477116787)*a^(5) + (25592733064919187800151672)/(30743336535938477116787)*a^(4) + (19096009337028464961533932)/(30743336535938477116787)*a^(3) - (18854444896365307568352483)/(30743336535938477116787)*a^(2) - (2549266318189107033627744)/(30743336535938477116787)*a + (2233739342198857754426149)/(30743336535938477116787) , (57908434060529989907)/(30743336535938477116787)*a^(19) - (201763524880295475437)/(30743336535938477116787)*a^(18) + (187689025014951818213)/(2794848775994407010617)*a^(17) - (676389392589815745918)/(2794848775994407010617)*a^(16) + (12601880747699964881627)/(30743336535938477116787)*a^(15) - (53594638889906812946602)/(30743336535938477116787)*a^(14) - (76467694023522660050191)/(30743336535938477116787)*a^(13) + (177760791121854074735935)/(30743336535938477116787)*a^(12) - (513725230421984093936700)/(30743336535938477116787)*a^(11) + (1788698649817159354975352)/(30743336535938477116787)*a^(10) + (1594474722826638843954518)/(30743336535938477116787)*a^(9) - (3469200726867318112304959)/(30743336535938477116787)*a^(8) + (4804158980467872637136399)/(30743336535938477116787)*a^(7) - (16221113348553438774052734)/(30743336535938477116787)*a^(6) - (18467153919196343314778131)/(30743336535938477116787)*a^(5) + (47384466109225110906193102)/(30743336535938477116787)*a^(4) + (15897684829601765346036515)/(30743336535938477116787)*a^(3) - (34756849602628270162675961)/(30743336535938477116787)*a^(2) - (2673522693572378931783869)/(30743336535938477116787)*a + (4113333463801453417172854)/(30743336535938477116787) , (808731026566573416476)/(30743336535938477116787)*a^(19) - (992770619657236691937)/(30743336535938477116787)*a^(18) + (2685135699387798576880)/(2794848775994407010617)*a^(17) - (3295513185693239509645)/(2794848775994407010617)*a^(16) + (203464831419354378694701)/(30743336535938477116787)*a^(15) - (249476871555526365137672)/(30743336535938477116787)*a^(14) - (820187499173841688388589)/(30743336535938477116787)*a^(13) + (1009526181502548284384126)/(30743336535938477116787)*a^(12) - (7218337283211223532406501)/(30743336535938477116787)*a^(11) + (8861469722402243451720582)/(30743336535938477116787)*a^(10) + (16278602412146324169718125)/(30743336535938477116787)*a^(9) - (20046000327341819137441280)/(30743336535938477116787)*a^(8) + (66533963472452603454123840)/(30743336535938477116787)*a^(7) - (81708130714154251142540332)/(30743336535938477116787)*a^(6) - (208659941264875169972504406)/(30743336535938477116787)*a^(5) + (256626306374081328040053058)/(30743336535938477116787)*a^(4) + (156488235130209967418390985)/(30743336535938477116787)*a^(3) - (192631910322226527788430756)/(30743336535938477116787)*a^(2) - (17120926892475490063995663)/(30743336535938477116787)*a + (21155429368923405132265063)/(30743336535938477116787) , (964187291796321772834)/(30743336535938477116787)*a^(19) - (1045626202206558073612)/(30743336535938477116787)*a^(18) + (3171761789160287147451)/(2794848775994407010617)*a^(17) - (3438874402200134218674)/(2794848775994407010617)*a^(16) + (230342611880149523737498)/(30743336535938477116787)*a^(15) - (249462868621859873418131)/(30743336535938477116787)*a^(14) - (1073622322555016491238210)/(30743336535938477116787)*a^(13) + (1167240064296473627350486)/(30743336535938477116787)*a^(12) - (8386348050510438267805605)/(30743336535938477116787)*a^(11) + (9092770199813404598133372)/(30743336535938477116787)*a^(10) + (22565983445041358865260908)/(30743336535938477116787)*a^(9) - (24550808526550117149738672)/(30743336535938477116787)*a^(8) + (76442241804318952318992621)/(30743336535938477116787)*a^(7) - (82901402990654794841540244)/(30743336535938477116787)*a^(6) - (278930229203234701082852574)/(30743336535938477116787)*a^(5) + (303109732009302167768864916)/(30743336535938477116787)*a^(4) + (235303428962943274449128123)/(30743336535938477116787)*a^(3) - (256099658032659275870667616)/(30743336535938477116787)*a^(2) - (26170734442186850586000679)/(30743336535938477116787)*a + (28776155274950016951084352)/(30743336535938477116787) , (81286732393915882820)/(30743336535938477116787)*a^(19) - (8188437053747426375)/(2794848775994407010617)*a^(18) + (274117929792593955105)/(2794848775994407010617)*a^(17) - (306617351163947079476)/(2794848775994407010617)*a^(16) + (22302100520039171117072)/(30743336535938477116787)*a^(15) - (2359596267309660545978)/(2794848775994407010617)*a^(14) - (64736354338860874928380)/(30743336535938477116787)*a^(13) + (5477978764542813143887)/(2794848775994407010617)*a^(12) - (716799057435339723024475)/(30743336535938477116787)*a^(11) + (72139441600127400060883)/(2794848775994407010617)*a^(10) + (1231817174699123404276713)/(30743336535938477116787)*a^(9) - (98861326881632223234097)/(2794848775994407010617)*a^(8) + (6292210573790121265736533)/(30743336535938477116787)*a^(7) - (620208848920245313713853)/(2794848775994407010617)*a^(6) - (18059670696006621418959652)/(30743336535938477116787)*a^(5) + (1627462062738833488941037)/(2794848775994407010617)*a^(4) + (13709601755414764644891273)/(30743336535938477116787)*a^(3) - (1179654354081751385512743)/(2794848775994407010617)*a^(2) - (1731172870904144847828379)/(30743336535938477116787)*a + (136248688757401711551793)/(2794848775994407010617) ], 44398294905.8, [[x^2 - x - 1, 1], [x^10 - 2*x^9 - 9*x^8 + 15*x^7 + 27*x^6 - 35*x^5 - 32*x^4 + 30*x^3 + 11*x^2 - 8*x + 1, 1]]]