/* 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 - 16*x^18 + 121*x^17 + 95*x^16 - 933*x^15 - 226*x^14 + 3630*x^13 - 25*x^12 - 7849*x^11 + 1238*x^10 + 9696*x^9 - 2643*x^8 - 6638*x^7 + 2522*x^6 + 2214*x^5 - 1128*x^4 - 209*x^3 + 182*x^2 - 26*x + 1, 20, 36, [20, 0], 333025103817911062616373171479401, [19, 293], [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, 1/3368147952558923*a^19 + 564382434816272/3368147952558923*a^18 - 206660134027447/3368147952558923*a^17 + 1253086810226770/3368147952558923*a^16 + 252417889324493/3368147952558923*a^15 - 1572909289804661/3368147952558923*a^14 + 579973081206849/3368147952558923*a^13 + 457139677050149/3368147952558923*a^12 - 1626621715052703/3368147952558923*a^11 - 358664398820179/3368147952558923*a^10 + 830079917363802/3368147952558923*a^9 - 707081182098395/3368147952558923*a^8 - 621163320277074/3368147952558923*a^7 + 791364865198392/3368147952558923*a^6 - 191856093941960/3368147952558923*a^5 + 440441417632769/3368147952558923*a^4 - 1085271451415678/3368147952558923*a^3 - 989459496811115/3368147952558923*a^2 - 923113311719802/3368147952558923*a + 771527516705096/3368147952558923], 0, 1, [], 1, [ a , (12668007041909178)/(3368147952558923)*a^(19) - (69797400891517736)/(3368147952558923)*a^(18) - (236157683819140747)/(3368147952558923)*a^(17) + (1412462633100345508)/(3368147952558923)*a^(16) + (1884991602191901837)/(3368147952558923)*a^(15) - (10806113303832585239)/(3368147952558923)*a^(14) - (8107545720805682934)/(3368147952558923)*a^(13) + (41362944303226737721)/(3368147952558923)*a^(12) + (19905003425102318740)/(3368147952558923)*a^(11) - (87372538181272329929)/(3368147952558923)*a^(10) - (27470057314682060552)/(3368147952558923)*a^(9) + (105039871382734702746)/(3368147952558923)*a^(8) + (19145583486885256619)/(3368147952558923)*a^(7) - (70424096181712337999)/(3368147952558923)*a^(6) - (4003230073080791750)/(3368147952558923)*a^(5) + (24044178887204505256)/(3368147952558923)*a^(4) - (1756974392036896871)/(3368147952558923)*a^(3) - (3152228505901305570)/(3368147952558923)*a^(2) + (638767806100018662)/(3368147952558923)*a - (26644988378231793)/(3368147952558923) , (8210259537134711)/(3368147952558923)*a^(19) - (44693263116732108)/(3368147952558923)*a^(18) - (156400378532652802)/(3368147952558923)*a^(17) + (907810743566538453)/(3368147952558923)*a^(16) + (1285534222041843733)/(3368147952558923)*a^(15) - (6970855865201306874)/(3368147952558923)*a^(14) - (5709082440606788385)/(3368147952558923)*a^(13) + (26812739987023554058)/(3368147952558923)*a^(12) + (14483609105785832920)/(3368147952558923)*a^(11) - (57041651010933569687)/(3368147952558923)*a^(10) - (20773896285538167898)/(3368147952558923)*a^(9) + (69280112575076326918)/(3368147952558923)*a^(8) + (15540254845685985509)/(3368147952558923)*a^(7) - (47073760450346615989)/(3368147952558923)*a^(6) - (4466964432293950983)/(3368147952558923)*a^(5) + (16311671505521976408)/(3368147952558923)*a^(4) - (521884311078150726)/(3368147952558923)*a^(3) - (2169613600876818972)/(3368147952558923)*a^(2) + (321301661790123826)/(3368147952558923)*a - (9906965071519152)/(3368147952558923) , (8679325578916783)/(3368147952558923)*a^(19) - (47615926334248235)/(3368147952558923)*a^(18) - (163433502968573313)/(3368147952558923)*a^(17) + (966544566005334665)/(3368147952558923)*a^(16) + (1324138078811187677)/(3368147952558923)*a^(15) - (7425203139985187859)/(3368147952558923)*a^(14) - (5810407257514001195)/(3368147952558923)*a^(13) + (28584769749727725249)/(3368147952558923)*a^(12) + (14638743221259828865)/(3368147952558923)*a^(11) - (60851298802907846671)/(3368147952558923)*a^(10) - (20898973452611161542)/(3368147952558923)*a^(9) + (73890340140752663464)/(3368147952558923)*a^(8) + (15340860235523541319)/(3368147952558923)*a^(7) - (50127325154006951100)/(3368147952558923)*a^(6) - (3846414995780381541)/(3368147952558923)*a^(5) + (17306151923650846810)/(3368147952558923)*a^(4) - (993811986351335377)/(3368147952558923)*a^(3) - (2267348856309401693)/(3368147952558923)*a^(2) + (417254335347286194)/(3368147952558923)*a - (18674803895698703)/(3368147952558923) , (3229408290422230)/(3368147952558923)*a^(19) - (19209407667211893)/(3368147952558923)*a^(18) - (51158656925546899)/(3368147952558923)*a^(17) + (378354917997634070)/(3368147952558923)*a^(16) + (307975150814996567)/(3368147952558923)*a^(15) - (2812641324983818408)/(3368147952558923)*a^(14) - (833097525142671153)/(3368147952558923)*a^(13) + (10378206510555756134)/(3368147952558923)*a^(12) + (766418679521368548)/(3368147952558923)*a^(11) - (20861797814703998893)/(3368147952558923)*a^(10) + (968757261548876394)/(3368147952558923)*a^(9) + (23446113203592359123)/(3368147952558923)*a^(8) - (2983724276239876198)/(3368147952558923)*a^(7) - (14333530935728667120)/(3368147952558923)*a^(6) + (2802534903348359031)/(3368147952558923)*a^(5) + (4304702704839824023)/(3368147952558923)*a^(4) - (1136135339630372285)/(3368147952558923)*a^(3) - (473171593426505617)/(3368147952558923)*a^(2) + (160560964830111204)/(3368147952558923)*a - (5677413205949224)/(3368147952558923) , (7174222592506553)/(3368147952558923)*a^(19) - (37228419986738798)/(3368147952558923)*a^(18) - (147611369900587720)/(3368147952558923)*a^(17) + (764902635246140174)/(3368147952558923)*a^(16) + (1338335289547746178)/(3368147952558923)*a^(15) - (5927862527047397405)/(3368147952558923)*a^(14) - (6579572150531114474)/(3368147952558923)*a^(13) + (23032587177136964223)/(3368147952558923)*a^(12) + (18460757874027431612)/(3368147952558923)*a^(11) - (49648102783083791574)/(3368147952558923)*a^(10) - (29514259194183599676)/(3368147952558923)*a^(9) + (61432057881153089669)/(3368147952558923)*a^(8) + (25601328842476857899)/(3368147952558923)*a^(7) - (42931036175743665925)/(3368147952558923)*a^(6) - (10341253677154757400)/(3368147952558923)*a^(5) + (15567871792205590995)/(3368147952558923)*a^(4) + (963685650795112180)/(3368147952558923)*a^(3) - (2253082701781054717)/(3368147952558923)*a^(2) + (226144382548500453)/(3368147952558923)*a + (731619851770462)/(3368147952558923) , (3229408290422230)/(3368147952558923)*a^(19) - (19209407667211893)/(3368147952558923)*a^(18) - (51158656925546899)/(3368147952558923)*a^(17) + (378354917997634070)/(3368147952558923)*a^(16) + (307975150814996567)/(3368147952558923)*a^(15) - (2812641324983818408)/(3368147952558923)*a^(14) - (833097525142671153)/(3368147952558923)*a^(13) + (10378206510555756134)/(3368147952558923)*a^(12) + (766418679521368548)/(3368147952558923)*a^(11) - (20861797814703998893)/(3368147952558923)*a^(10) + (968757261548876394)/(3368147952558923)*a^(9) + (23446113203592359123)/(3368147952558923)*a^(8) - (2983724276239876198)/(3368147952558923)*a^(7) - (14333530935728667120)/(3368147952558923)*a^(6) + (2802534903348359031)/(3368147952558923)*a^(5) + (4304702704839824023)/(3368147952558923)*a^(4) - (1136135339630372285)/(3368147952558923)*a^(3) - (473171593426505617)/(3368147952558923)*a^(2) + (163929112782670127)/(3368147952558923)*a - (5677413205949224)/(3368147952558923) , (1676388290459649)/(3368147952558923)*a^(19) - (8864642507133675)/(3368147952558923)*a^(18) - (34436925533792023)/(3368147952558923)*a^(17) + (186968982336042052)/(3368147952558923)*a^(16) + (307098079170576324)/(3368147952558923)*a^(15) - (1508231495489273900)/(3368147952558923)*a^(14) - (1466403892275139670)/(3368147952558923)*a^(13) + (6187382718624498021)/(3368147952558923)*a^(12) + (3933485811105279800)/(3368147952558923)*a^(11) - (14270528965934210385)/(3368147952558923)*a^(10) - (5850751662470955159)/(3368147952558923)*a^(9) + (19076416496144939739)/(3368147952558923)*a^(8) + (4442368228842467549)/(3368147952558923)*a^(7) - (14459537504771363059)/(3368147952558923)*a^(6) - (1236654127103120116)/(3368147952558923)*a^(5) + (5648741869744722287)/(3368147952558923)*a^(4) - (196513523143335964)/(3368147952558923)*a^(3) - (847636207455619908)/(3368147952558923)*a^(2) + (103290050850143845)/(3368147952558923)*a - (1821623491593958)/(3368147952558923) , (1173598559811786)/(3368147952558923)*a^(19) - (6621906215500104)/(3368147952558923)*a^(18) - (19948929237723221)/(3368147952558923)*a^(17) + (127539834652527362)/(3368147952558923)*a^(16) + (140171222720886458)/(3368147952558923)*a^(15) - (905809306429078770)/(3368147952558923)*a^(14) - (511090754317828269)/(3368147952558923)*a^(13) + (3100405734897502187)/(3368147952558923)*a^(12) + (1012678991794072517)/(3368147952558923)*a^(11) - (5540155138432110188)/(3368147952558923)*a^(10) - (1019688136224535905)/(3368147952558923)*a^(9) + (5181753770575662657)/(3368147952558923)*a^(8) + (333758410618751989)/(3368147952558923)*a^(7) - (2334409402713651485)/(3368147952558923)*a^(6) + (208702684633301022)/(3368147952558923)*a^(5) + (369905231260207607)/(3368147952558923)*a^(4) - (183710279833333192)/(3368147952558923)*a^(3) + (20448164977153095)/(3368147952558923)*a^(2) + (41991559087079301)/(3368147952558923)*a - (3287254811364687)/(3368147952558923) , (14866771779200492)/(3368147952558923)*a^(19) - (82711807701151909)/(3368147952558923)*a^(18) - (272678260008262595)/(3368147952558923)*a^(17) + (1671681208595717909)/(3368147952558923)*a^(16) + (2125713368946754781)/(3368147952558923)*a^(15) - (12791175890241202390)/(3368147952558923)*a^(14) - (8893446030968241783)/(3368147952558923)*a^(13) + (49050068664091646439)/(3368147952558923)*a^(12) + (21182801910718019932)/(3368147952558923)*a^(11) - (104086259417743488137)/(3368147952558923)*a^(10) - (28157904841443480211)/(3368147952558923)*a^(9) + (126286729308052492171)/(3368147952558923)*a^(8) + (18235228023138918781)/(3368147952558923)*a^(7) - (86002267986394736207)/(3368147952558923)*a^(6) - (2265264635820630523)/(3368147952558923)*a^(5) + (30015464514062757932)/(3368147952558923)*a^(4) - (2793699968890026004)/(3368147952558923)*a^(3) - (4013352450224950285)/(3368147952558923)*a^(2) + (835616539813404414)/(3368147952558923)*a - (32332399276326914)/(3368147952558923) , (8421089235251570)/(3368147952558923)*a^(19) - (44732790245718454)/(3368147952558923)*a^(18) - (167278597041014579)/(3368147952558923)*a^(17) + (914610662630717668)/(3368147952558923)*a^(16) + (1455479457792957515)/(3368147952558923)*a^(15) - (7064358488751886550)/(3368147952558923)*a^(14) - (6900679121055499453)/(3368147952558923)*a^(13) + (27346934483741877041)/(3368147952558923)*a^(12) + (18858202691392049093)/(3368147952558923)*a^(11) - (58612846391660550437)/(3368147952558923)*a^(10) - (29726303114956805427)/(3368147952558923)*a^(9) + (71815388226110667675)/(3368147952558923)*a^(8) + (25839466805318719377)/(3368147952558923)*a^(7) - (49355706087661126357)/(3368147952558923)*a^(6) - (10823141042585341603)/(3368147952558923)*a^(5) + (17442835379282160174)/(3368147952558923)*a^(4) + (1328086351039892064)/(3368147952558923)*a^(3) - (2459468354497777578)/(3368147952558923)*a^(2) + (129197915590663109)/(3368147952558923)*a + (19224065377235742)/(3368147952558923) , (7174222592506553)/(3368147952558923)*a^(19) - (37228419986738798)/(3368147952558923)*a^(18) - (147611369900587720)/(3368147952558923)*a^(17) + (764902635246140174)/(3368147952558923)*a^(16) + (1338335289547746178)/(3368147952558923)*a^(15) - (5927862527047397405)/(3368147952558923)*a^(14) - (6579572150531114474)/(3368147952558923)*a^(13) + (23032587177136964223)/(3368147952558923)*a^(12) + (18460757874027431612)/(3368147952558923)*a^(11) - (49648102783083791574)/(3368147952558923)*a^(10) - (29514259194183599676)/(3368147952558923)*a^(9) + (61432057881153089669)/(3368147952558923)*a^(8) + (25601328842476857899)/(3368147952558923)*a^(7) - (42931036175743665925)/(3368147952558923)*a^(6) - (10341253677154757400)/(3368147952558923)*a^(5) + (15567871792205590995)/(3368147952558923)*a^(4) + (963685650795112180)/(3368147952558923)*a^(3) - (2253082701781054717)/(3368147952558923)*a^(2) + (226144382548500453)/(3368147952558923)*a + (4099767804329385)/(3368147952558923) , (6006796853789525)/(3368147952558923)*a^(19) - (33572096903757699)/(3368147952558923)*a^(18) - (110255104846286736)/(3368147952558923)*a^(17) + (683755135310624242)/(3368147952558923)*a^(16) + (855659333904809613)/(3368147952558923)*a^(15) - (5293340652043116983)/(3368147952558923)*a^(14) - (3538163099607411803)/(3368147952558923)*a^(13) + (20616186580645552974)/(3368147952558923)*a^(12) + (8212896227232938934)/(3368147952558923)*a^(11) - (44567254374806961053)/(3368147952558923)*a^(10) - (10261834265350791805)/(3368147952558923)*a^(9) + (55132053737348760000)/(3368147952558923)*a^(8) + (5387249957535734816)/(3368147952558923)*a^(7) - (38198391842412111196)/(3368147952558923)*a^(6) + (973760344025969616)/(3368147952558923)*a^(5) + (13455421942092041645)/(3368147952558923)*a^(4) - (2002052478660393303)/(3368147952558923)*a^(3) - (1744617494651058734)/(3368147952558923)*a^(2) + (492697646607743591)/(3368147952558923)*a - (38277429610089368)/(3368147952558923) , (18820418684880682)/(3368147952558923)*a^(19) - (103111201722569980)/(3368147952558923)*a^(18) - (353242075757895452)/(3368147952558923)*a^(17) + (2084385833146793042)/(3368147952558923)*a^(16) + (2843558033150022440)/(3368147952558923)*a^(15) - (15906196194655047542)/(3368147952558923)*a^(14) - (12288199764869982960)/(3368147952558923)*a^(13) + (60678415970263702257)/(3368147952558923)*a^(12) + (29993679140271184483)/(3368147952558923)*a^(11) - (127756050160335853048)/(3368147952558923)*a^(10) - (40233570464485790173)/(3368147952558923)*a^(9) + (153409243381265304509)/(3368147952558923)*a^(8) + (25583513283291238208)/(3368147952558923)*a^(7) - (103251193546038183952)/(3368147952558923)*a^(6) - (2479500139006539715)/(3368147952558923)*a^(5) + (35632013351545553764)/(3368147952558923)*a^(4) - (4244631797280398335)/(3368147952558923)*a^(3) - (4670522852342445107)/(3368147952558923)*a^(2) + (1216674705969225347)/(3368147952558923)*a - (69311508217136937)/(3368147952558923) , (8965846234001924)/(3368147952558923)*a^(19) - (47132974138998478)/(3368147952558923)*a^(18) - (182655346578158094)/(3368147952558923)*a^(17) + (976546134332901160)/(3368147952558923)*a^(16) + (1626521905727926883)/(3368147952558923)*a^(15) - (7673193811254964911)/(3368147952558923)*a^(14) - (7808801897180840661)/(3368147952558923)*a^(13) + (30380088670472742930)/(3368147952558923)*a^(12) + (21232823432426577707)/(3368147952558923)*a^(11) - (66989387582242273207)/(3368147952558923)*a^(10) - (32404700678666873612)/(3368147952558923)*a^(9) + (84881329254449023913)/(3368147952558923)*a^(8) + (25870862213581512873)/(3368147952558923)*a^(7) - (60523078529564800086)/(3368147952558923)*a^(6) - (8388651741901302419)/(3368147952558923)*a^(5) + (22115125089470601550)/(3368147952558923)*a^(4) - (425260079033470987)/(3368147952558923)*a^(3) - (3104525865141186001)/(3368147952558923)*a^(2) + (487790838242006980)/(3368147952558923)*a - (14594837609308917)/(3368147952558923) , (17556038694846045)/(3368147952558923)*a^(19) - (97169552490565374)/(3368147952558923)*a^(18) - (324342406092696609)/(3368147952558923)*a^(17) + (1961890524648901356)/(3368147952558923)*a^(16) + (2559566053943280113)/(3368147952558923)*a^(15) - (14970371682052798031)/(3368147952558923)*a^(14) - (10894558661327289815)/(3368147952558923)*a^(13) + (57102757045299130524)/(3368147952558923)*a^(12) + (26584139361788342262)/(3368147952558923)*a^(11) - (120036367497292387312)/(3368147952558923)*a^(10) - (36762582755305793178)/(3368147952558923)*a^(9) + (143345718331179874957)/(3368147952558923)*a^(8) + (26142255981265800098)/(3368147952558923)*a^(7) - (95231914207745243639)/(3368147952558923)*a^(6) - (6273094965687064998)/(3368147952558923)*a^(5) + (32113011131213276085)/(3368147952558923)*a^(4) - (1737600417437219463)/(3368147952558923)*a^(3) - (4146229205957469017)/(3368147952558923)*a^(2) + (715685056337146747)/(3368147952558923)*a - (27357605356813202)/(3368147952558923) , (15219458525308717)/(3368147952558923)*a^(19) - (83287399610434925)/(3368147952558923)*a^(18) - (286765582610551253)/(3368147952558923)*a^(17) + (1686552915998784598)/(3368147952558923)*a^(16) + (2323575677356909966)/(3368147952558923)*a^(15) - 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