/* 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 - 17*x^18 + 135*x^17 - 55*x^16 - 1090*x^15 + 2060*x^14 + 2325*x^13 - 10630*x^12 + 5091*x^11 + 20552*x^10 - 25659*x^9 - 16814*x^8 + 35240*x^7 + 10446*x^6 - 21367*x^5 - 11712*x^4 + 3875*x^3 + 6531*x^2 + 1995*x + 167, 20, 693, [16, 2], 270294613348055239187250247211813, [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, 1/8616037379787812854566026311*a^19 + 789185396256814677979626883/8616037379787812854566026311*a^18 - 2474032144379272049268843602/8616037379787812854566026311*a^17 + 3743552120601078853481525553/8616037379787812854566026311*a^16 - 2680466332151336724085386596/8616037379787812854566026311*a^15 + 4263481214792228551794001549/8616037379787812854566026311*a^14 + 1566322258157587313418603571/8616037379787812854566026311*a^13 + 4248042313472359749920589617/8616037379787812854566026311*a^12 + 2765819340685911087842024781/8616037379787812854566026311*a^11 - 3508121408065394796103611907/8616037379787812854566026311*a^10 + 2872572958616576605758963473/8616037379787812854566026311*a^9 + 3707316438699232964466747890/8616037379787812854566026311*a^8 + 2117984168227516000535688809/8616037379787812854566026311*a^7 - 4278740985333281215356674969/8616037379787812854566026311*a^6 - 210132380258270780007569555/8616037379787812854566026311*a^5 - 2965011621617885639210434434/8616037379787812854566026311*a^4 + 2211412567896649222213735765/8616037379787812854566026311*a^3 - 1373523129096132846098961141/8616037379787812854566026311*a^2 + 4189496411754107660530897523/8616037379787812854566026311*a - 1568344834042459687006943105/8616037379787812854566026311], 0, 1, [], 1, [ (439158364012322478640730423)/(8616037379787812854566026311)*a^(19) - (1322616174542671050700847435)/(8616037379787812854566026311)*a^(18) - (10403985390965707675306821928)/(8616037379787812854566026311)*a^(17) + (39790777907432388081170108106)/(8616037379787812854566026311)*a^(16) + (61208970797854640779022491976)/(8616037379787812854566026311)*a^(15) - (390063130919295968860639631936)/(8616037379787812854566026311)*a^(14) + (115273804525973959155912334011)/(8616037379787812854566026311)*a^(13) + (1531294102435471971073854772085)/(8616037379787812854566026311)*a^(12) - (1947026512340909387959406132904)/(8616037379787812854566026311)*a^(11) - (2396798082532191971660642978506)/(8616037379787812854566026311)*a^(10) + (6237903728440231824675534438787)/(8616037379787812854566026311)*a^(9) + (1029774416517250609304282990435)/(8616037379787812854566026311)*a^(8) - (9383513875649454281945108180895)/(8616037379787812854566026311)*a^(7) - (459542295716182575109722945764)/(8616037379787812854566026311)*a^(6) + (7469959159011019256953530619848)/(8616037379787812854566026311)*a^(5) + (2845369237611812375571356663806)/(8616037379787812854566026311)*a^(4) - (2122630624911295155051864186232)/(8616037379787812854566026311)*a^(3) - (2491167769424166255097669560007)/(8616037379787812854566026311)*a^(2) - (810928542826813398237095664283)/(8616037379787812854566026311)*a - (79712589939283618334110709913)/(8616037379787812854566026311) , (365682636814999279550503053)/(8616037379787812854566026311)*a^(19) - (1092970841560951435865496967)/(8616037379787812854566026311)*a^(18) - (8496877839457307943531485838)/(8616037379787812854566026311)*a^(17) + (32583381860873979222676559227)/(8616037379787812854566026311)*a^(16) + (47110994522735509698935082385)/(8616037379787812854566026311)*a^(15) - (312404014106538010059327630701)/(8616037379787812854566026311)*a^(14) + (120516081605529711610891523504)/(8616037379787812854566026311)*a^(13) + (1166524556246421370984898908095)/(8616037379787812854566026311)*a^(12) - (1621527253680883056749269836701)/(8616037379787812854566026311)*a^(11) - (1608430625065792274675149475630)/(8616037379787812854566026311)*a^(10) + (4803497463178009635230163593864)/(8616037379787812854566026311)*a^(9) + (277871666254611934257190424418)/(8616037379787812854566026311)*a^(8) - (6720561178193776882598962278266)/(8616037379787812854566026311)*a^(7) + (124812707251581358145157091781)/(8616037379787812854566026311)*a^(6) + (5170365661488774441935160065421)/(8616037379787812854566026311)*a^(5) + (1652887400628305590369612506817)/(8616037379787812854566026311)*a^(4) - (1629018423374538669683290846829)/(8616037379787812854566026311)*a^(3) - (1510124221600680284914736605094)/(8616037379787812854566026311)*a^(2) - (358377792548366039632702001255)/(8616037379787812854566026311)*a - (22086280889764535390832576268)/(8616037379787812854566026311) , (141956113569186533749903611)/(8616037379787812854566026311)*a^(19) - (385899638058934948205544296)/(8616037379787812854566026311)*a^(18) - (3565330786834725200409883928)/(8616037379787812854566026311)*a^(17) + (12153651488919559634996878406)/(8616037379787812854566026311)*a^(16) + (25145690462560332972849848460)/(8616037379787812854566026311)*a^(15) - (128046952466352287287250770618)/(8616037379787812854566026311)*a^(14) - (4182154612563365572959635058)/(8616037379787812854566026311)*a^(13) + (572151184208757551451321338373)/(8616037379787812854566026311)*a^(12) - (554249845323842096199927384470)/(8616037379787812854566026311)*a^(11) - (1140536760541150868259476798956)/(8616037379787812854566026311)*a^(10) + (2236578400287878971750466487701)/(8616037379787812854566026311)*a^(9) + (913772384560603152540544709755)/(8616037379787812854566026311)*a^(8) - (3844948592117505507518183423847)/(8616037379787812854566026311)*a^(7) - (449570273289005112464404723571)/(8616037379787812854566026311)*a^(6) + (3171915162375704132939903739905)/(8616037379787812854566026311)*a^(5) + (1088795816296512103229176183917)/(8616037379787812854566026311)*a^(4) - (912974089001191049818909406260)/(8616037379787812854566026311)*a^(3) - (994711423278362401621901321756)/(8616037379787812854566026311)*a^(2) - (256527803207786254143710668434)/(8616037379787812854566026311)*a - (13455332970487023103951830356)/(8616037379787812854566026311) , (45010915329811104177538624)/(8616037379787812854566026311)*a^(19) - (202846065439202646378752656)/(8616037379787812854566026311)*a^(18) - (875433489783729205981233831)/(8616037379787812854566026311)*a^(17) + (5610576723506632575525353820)/(8616037379787812854566026311)*a^(16) + (625887781233327242543346839)/(8616037379787812854566026311)*a^(15) - (48026753644304593638523049591)/(8616037379787812854566026311)*a^(14) + (64363181381028595213590135458)/(8616037379787812854566026311)*a^(13) + (132138591787428345676080514159)/(8616037379787812854566026311)*a^(12) - (380230910040702130900892168619)/(8616037379787812854566026311)*a^(11) + (36791861089406408688077888313)/(8616037379787812854566026311)*a^(10) + (824688689929103787432828170671)/(8616037379787812854566026311)*a^(9) - (628780169698176913963702114202)/(8616037379787812854566026311)*a^(8) - (852197993198219252643191739534)/(8616037379787812854566026311)*a^(7) + (776378889814907089994559552872)/(8616037379787812854566026311)*a^(6) + (613974628111824552019185891511)/(8616037379787812854566026311)*a^(5) - (181275668138910942275617597071)/(8616037379787812854566026311)*a^(4) - (318204626137153645364647147927)/(8616037379787812854566026311)*a^(3) - (138420146986573231741972205431)/(8616037379787812854566026311)*a^(2) - (1585600626381908763591434551)/(8616037379787812854566026311)*a - (1711594106970845807349981555)/(8616037379787812854566026311) , (108031216828510395357835440)/(8616037379787812854566026311)*a^(19) - (682807176494272384342349136)/(8616037379787812854566026311)*a^(18) - (1401064561565777814868827658)/(8616037379787812854566026311)*a^(17) + (17696252223568185077588188441)/(8616037379787812854566026311)*a^(16) - (18574463117016811607358715151)/(8616037379787812854566026311)*a^(15) - (130988605000657950853882083954)/(8616037379787812854566026311)*a^(14) + (335945215139889879459586057027)/(8616037379787812854566026311)*a^(13) + (164147672078188760612499236863)/(8616037379787812854566026311)*a^(12) - (1500307076438695369767342218233)/(8616037379787812854566026311)*a^(11) + (1262283729913716337408616850008)/(8616037379787812854566026311)*a^(10) + (2386891011996744581509794287138)/(8616037379787812854566026311)*a^(9) - (4418666881493352869775729560284)/(8616037379787812854566026311)*a^(8) - (994454265857749784268817121539)/(8616037379787812854566026311)*a^(7) + (5372296779178713980374715258424)/(8616037379787812854566026311)*a^(6) + (26851247159791096463781828436)/(8616037379787812854566026311)*a^(5) - (3046295928358703977553096259373)/(8616037379787812854566026311)*a^(4) - (922943261051438639537725802632)/(8616037379787812854566026311)*a^(3) + (737943209114483221961388487258)/(8616037379787812854566026311)*a^(2) + (721188956983193034055416071611)/(8616037379787812854566026311)*a + (88387947436315740552921929896)/(8616037379787812854566026311) , (349162719819731573234080035)/(8616037379787812854566026311)*a^(19) - (1108195788880497671629874289)/(8616037379787812854566026311)*a^(18) - (7968522365452075298181755553)/(8616037379787812854566026311)*a^(17) + (32694133650268624569319198289)/(8616037379787812854566026311)*a^(16) + (40424623394733553005745505619)/(8616037379787812854566026311)*a^(15) - (309271046382142047778053856597)/(8616037379787812854566026311)*a^(14) + (161375528052888442066051665990)/(8616037379787812854566026311)*a^(13) + (1119373025749758351574541898111)/(8616037379787812854566026311)*a^(12) - (1739654091573456528943585420127)/(8616037379787812854566026311)*a^(11) - (1357512389091544977660867636437)/(8616037379787812854566026311)*a^(10) + (4931434737066860768392950477448)/(8616037379787812854566026311)*a^(9) - (379755969718364481628927453433)/(8616037379787812854566026311)*a^(8) - (6696209587373293795037889394285)/(8616037379787812854566026311)*a^(7) + (1052154836448658184846156148986)/(8616037379787812854566026311)*a^(6) + (5129179124004405103036233819958)/(8616037379787812854566026311)*a^(5) + (976462312331777976044895347677)/(8616037379787812854566026311)*a^(4) - (1759256885310304310742093554787)/(8616037379787812854566026311)*a^(3) - (1342312630375620326441184569369)/(8616037379787812854566026311)*a^(2) - (270988697299450008548710385124)/(8616037379787812854566026311)*a + (1030098809615936054795838012)/(8616037379787812854566026311) , (541220889859101179176784097)/(8616037379787812854566026311)*a^(19) - (1846828883620905895665084030)/(8616037379787812854566026311)*a^(18) - (11941130569274206058148662054)/(8616037379787812854566026311)*a^(17) + (53412861457144166567346021819)/(8616037379787812854566026311)*a^(16) + (51007625602899250958739209241)/(8616037379787812854566026311)*a^(15) - (489316137935096349056535215576)/(8616037379787812854566026311)*a^(14) + (350600293083930293635513841631)/(8616037379787812854566026311)*a^(13) + (1642697942953264445780199853356)/(8616037379787812854566026311)*a^(12) - (2975125371476259187801554673662)/(8616037379787812854566026311)*a^(11) - (1456862004645226463515129102390)/(8616037379787812854566026311)*a^(10) + (7639553677492910912952126582478)/(8616037379787812854566026311)*a^(9) - (1895460183651737236249987431309)/(8616037379787812854566026311)*a^(8) - (9473907959097566415585183647486)/(8616037379787812854566026311)*a^(7) + (2572540433339489074654080158344)/(8616037379787812854566026311)*a^(6) + (7012430217768797349226903840354)/(8616037379787812854566026311)*a^(5) + (1335405100218646121828502300880)/(8616037379787812854566026311)*a^(4) - (2460638664274732624683531522552)/(8616037379787812854566026311)*a^(3) - (2075203134548999829628389647026)/(8616037379787812854566026311)*a^(2) - (511770244801243748665244170916)/(8616037379787812854566026311)*a - (70102686528888098885137627529)/(8616037379787812854566026311) , (136462734512388811304973684)/(8616037379787812854566026311)*a^(19) - (628359590151018353387755010)/(8616037379787812854566026311)*a^(18) - (2333592384886487480334317598)/(8616037379787812854566026311)*a^(17) + (16819917018307796734074589572)/(8616037379787812854566026311)*a^(16) - (6188424457638747477509020019)/(8616037379787812854566026311)*a^(15) - (131127879773585766177555938235)/(8616037379787812854566026311)*a^(14) + (256915256609679166199533155447)/(8616037379787812854566026311)*a^(13) + (232298577916077495033913519820)/(8616037379787812854566026311)*a^(12) - (1267779913859745801219050279290)/(8616037379787812854566026311)*a^(11) + (836903277022979519105734862741)/(8616037379787812854566026311)*a^(10) + (2129442138932390566944034238328)/(8616037379787812854566026311)*a^(9) - (3338298788510826906576536072793)/(8616037379787812854566026311)*a^(8) - (977620017150270913477929823909)/(8616037379787812854566026311)*a^(7) + (4094606420704798158479218740375)/(8616037379787812854566026311)*a^(6) - (43145147008769445076176818115)/(8616037379787812854566026311)*a^(5) - (2466635235562235377252925254478)/(8616037379787812854566026311)*a^(4) - (628116432172446838305609439370)/(8616037379787812854566026311)*a^(3) + (768145579335791784580424324830)/(8616037379787812854566026311)*a^(2) + (656200466730622533347475821435)/(8616037379787812854566026311)*a + (92369269283500452963009314527)/(8616037379787812854566026311) , (2219055960733303805721895664)/(8616037379787812854566026311)*a^(19) - (6835725355808861784034045992)/(8616037379787812854566026311)*a^(18) - (50627475568755461644185931260)/(8616037379787812854566026311)*a^(17) + (201599709876335294925113883054)/(8616037379787812854566026311)*a^(16) + (260394801511807709198692271258)/(8616037379787812854566026311)*a^(15) - (1896699417361414639720196077416)/(8616037379787812854566026311)*a^(14) + (943896206871574975058651002458)/(8616037379787812854566026311)*a^(13) + (6778991891348196856236716853327)/(8616037379787812854566026311)*a^(12) - (10381105676643853317066970540011)/(8616037379787812854566026311)*a^(11) - (8080709454825820783247717745111)/(8616037379787812854566026311)*a^(10) + (28808110472028200022443512033359)/(8616037379787812854566026311)*a^(9) - (1726912126062193149113725329864)/(8616037379787812854566026311)*a^(8) - (37870483303647344503134473778144)/(8616037379787812854566026311)*a^(7) + (3957749142663872486218350015816)/(8616037379787812854566026311)*a^(6) + (28055935143337630289340718832196)/(8616037379787812854566026311)*a^(5) + (7994211461757123707871644439205)/(8616037379787812854566026311)*a^(4) - (8804380206540433098957395293416)/(8616037379787812854566026311)*a^(3) - (8256714492853275293563817260302)/(8616037379787812854566026311)*a^(2) - (2169592229774880010762800077714)/(8616037379787812854566026311)*a - (165864883347956884154894782334)/(8616037379787812854566026311) , (806501765842738748252458987)/(8616037379787812854566026311)*a^(19) - (2619191695232359187282437854)/(8616037379787812854566026311)*a^(18) - (18197984514623752712362493063)/(8616037379787812854566026311)*a^(17) + (76670917170256816296894934051)/(8616037379787812854566026311)*a^(16) + (87815796783649362009215929422)/(8616037379787812854566026311)*a^(15) - (716203122888511098898928512267)/(8616037379787812854566026311)*a^(14) + (414785019783422580471039787410)/(8616037379787812854566026311)*a^(13) + (2524492863540831283003110859758)/(8616037379787812854566026311)*a^(12) - (4083764711021255109217198459205)/(8616037379787812854566026311)*a^(11) - (2833582990454713305010781753070)/(8616037379787812854566026311)*a^(10) + (11141048939847097333585184446751)/(8616037379787812854566026311)*a^(9) - 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