/* 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 - 4*x^19 + 14*x^18 - 37*x^17 + 87*x^16 - 186*x^15 + 339*x^14 - 555*x^13 + 794*x^12 - 988*x^11 + 1066*x^10 - 953*x^9 + 679*x^8 - 326*x^7 + 45*x^6 + 76*x^5 - 75*x^4 + 27*x^3 - 2*x^2 - 2*x + 1, 20, 74, [4, 8], 1555892820924979549874521, [11, 23], [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, 1/27878161649251*a^19 + 6077245495723/27878161649251*a^18 - 12557467159629/27878161649251*a^17 + 8390707133073/27878161649251*a^16 - 9284039991521/27878161649251*a^15 + 10580021409506/27878161649251*a^14 + 3216365413505/27878161649251*a^13 - 12525019246661/27878161649251*a^12 + 7992193995865/27878161649251*a^11 + 1640610606568/27878161649251*a^10 + 2807849031960/27878161649251*a^9 - 9843895867648/27878161649251*a^8 - 458904448272/27878161649251*a^7 - 9501984122578/27878161649251*a^6 + 1956488573230/27878161649251*a^5 + 5919986848007/27878161649251*a^4 - 1088643207942/27878161649251*a^3 + 9259620818072/27878161649251*a^2 - 7018910582260/27878161649251*a - 6702302080648/27878161649251], 0, 1, [], 0, [ (974291937276)/(27878161649251)*a^(19) + (1608058993722)/(27878161649251)*a^(18) - (3361446113657)/(27878161649251)*a^(17) + (24984317071013)/(27878161649251)*a^(16) - (61395301545206)/(27878161649251)*a^(15) + (158990980652405)/(27878161649251)*a^(14) - (367904810522872)/(27878161649251)*a^(13) + (657054241252704)/(27878161649251)*a^(12) - (1115769229006849)/(27878161649251)*a^(11) + (1565924727134548)/(27878161649251)*a^(10) - (1896192211537744)/(27878161649251)*a^(9) + (1977476972657342)/(27878161649251)*a^(8) - (1592812756280377)/(27878161649251)*a^(7) + (956736994184309)/(27878161649251)*a^(6) - (221915257999332)/(27878161649251)*a^(5) - (243888046664903)/(27878161649251)*a^(4) + (280782108324211)/(27878161649251)*a^(3) - (193854735336497)/(27878161649251)*a^(2) + (10369001651035)/(27878161649251)*a + (12067280352778)/(27878161649251) , (428184647451)/(27878161649251)*a^(19) - (12717579770833)/(27878161649251)*a^(18) + (45327873672381)/(27878161649251)*a^(17) - (152389281810868)/(27878161649251)*a^(16) + (382578833149682)/(27878161649251)*a^(15) - (876905201533028)/(27878161649251)*a^(14) + (1818544397140251)/(27878161649251)*a^(13) - (3174238882438024)/(27878161649251)*a^(12) + (5028664888372930)/(27878161649251)*a^(11) - (6850363946948835)/(27878161649251)*a^(10) + (8096291622912103)/(27878161649251)*a^(9) - (8201675929051672)/(27878161649251)*a^(8) + (6635668184907467)/(27878161649251)*a^(7) - (4108454860896548)/(27878161649251)*a^(6) + (1282881841738929)/(27878161649251)*a^(5) + (392751528461689)/(27878161649251)*a^(4) - (713198537741094)/(27878161649251)*a^(3) + (369767655942152)/(27878161649251)*a^(2) + (11587375285311)/(27878161649251)*a - (19639454772908)/(27878161649251) , (13553598905950)/(27878161649251)*a^(19) - (42829495345961)/(27878161649251)*a^(18) + (154289498843541)/(27878161649251)*a^(17) - (373110925481313)/(27878161649251)*a^(16) + (867371999198322)/(27878161649251)*a^(15) - (1791293015742059)/(27878161649251)*a^(14) + (3077316179238536)/(27878161649251)*a^(13) - (4892160604438170)/(27878161649251)*a^(12) + (6521275214083336)/(27878161649251)*a^(11) - (7600221906715118)/(27878161649251)*a^(10) + (7473416461033459)/(27878161649251)*a^(9) - (5666979201265869)/(27878161649251)*a^(8) + (3069357206318422)/(27878161649251)*a^(7) - (216041651344281)/(27878161649251)*a^(6) - (1206958950440324)/(27878161649251)*a^(5) + (1299605189555006)/(27878161649251)*a^(4) - (642026317777142)/(27878161649251)*a^(3) - (5408720220543)/(27878161649251)*a^(2) + (78045826960392)/(27878161649251)*a - (50333395484889)/(27878161649251) , (974291937276)/(27878161649251)*a^(19) + (1608058993722)/(27878161649251)*a^(18) - (3361446113657)/(27878161649251)*a^(17) + (24984317071013)/(27878161649251)*a^(16) - (61395301545206)/(27878161649251)*a^(15) + (158990980652405)/(27878161649251)*a^(14) - (367904810522872)/(27878161649251)*a^(13) + (657054241252704)/(27878161649251)*a^(12) - (1115769229006849)/(27878161649251)*a^(11) + (1565924727134548)/(27878161649251)*a^(10) - (1896192211537744)/(27878161649251)*a^(9) + (1977476972657342)/(27878161649251)*a^(8) - (1592812756280377)/(27878161649251)*a^(7) + (956736994184309)/(27878161649251)*a^(6) - (221915257999332)/(27878161649251)*a^(5) - (243888046664903)/(27878161649251)*a^(4) + (280782108324211)/(27878161649251)*a^(3) - (193854735336497)/(27878161649251)*a^(2) + (10369001651035)/(27878161649251)*a - (15810881296473)/(27878161649251) , (12177123327058)/(27878161649251)*a^(19) - (36860910233219)/(27878161649251)*a^(18) + (125580311562810)/(27878161649251)*a^(17) - (297575465772953)/(27878161649251)*a^(16) + (661349194057201)/(27878161649251)*a^(15) - (1348343072109270)/(27878161649251)*a^(14) + (2182895988598323)/(27878161649251)*a^(13) - (3302330014252167)/(27878161649251)*a^(12) + (4121169638056680)/(27878161649251)*a^(11) - (4262948381205401)/(27878161649251)*a^(10) + (3641534490161483)/(27878161649251)*a^(9) - (1847171230772933)/(27878161649251)*a^(8) + (12322294287983)/(27878161649251)*a^(7) + (1408431338961180)/(27878161649251)*a^(6) - (1548247043327428)/(27878161649251)*a^(5) + (682237492140225)/(27878161649251)*a^(4) + (3334154577885)/(27878161649251)*a^(3) - (327116125533293)/(27878161649251)*a^(2) + (137569675389023)/(27878161649251)*a + (26708383639840)/(27878161649251) , (17480460622453)/(27878161649251)*a^(19) - (66193103766877)/(27878161649251)*a^(18) + (224391573936972)/(27878161649251)*a^(17) - (581359072442207)/(27878161649251)*a^(16) + (1331598240533823)/(27878161649251)*a^(15) - (2819980748355420)/(27878161649251)*a^(14) + (4975819013637209)/(27878161649251)*a^(13) - (7945870302433133)/(27878161649251)*a^(12) + (11011805012592827)/(27878161649251)*a^(11) - (13102435106810740)/(27878161649251)*a^(10) + (13498785515869591)/(27878161649251)*a^(9) - (11105734483044284)/(27878161649251)*a^(8) + (7015857496760565)/(27878161649251)*a^(7) - (2385142940598581)/(27878161649251)*a^(6) - (619766710694347)/(27878161649251)*a^(5) + (1224406576610163)/(27878161649251)*a^(4) - (754255802694963)/(27878161649251)*a^(3) + (77356586583482)/(27878161649251)*a^(2) + (11525705744966)/(27878161649251)*a + (9571941541238)/(27878161649251) , (12821875012289)/(27878161649251)*a^(19) - (43291356022280)/(27878161649251)*a^(18) + (149616651214536)/(27878161649251)*a^(17) - (373076218325832)/(27878161649251)*a^(16) + (855206565178312)/(27878161649251)*a^(15) - (1786157838621934)/(27878161649251)*a^(14) + (3088068621742151)/(27878161649251)*a^(13) - (4890412042374668)/(27878161649251)*a^(12) + (6652280236921054)/(27878161649251)*a^(11) - (7773354249347797)/(27878161649251)*a^(10) + (7861435088375597)/(27878161649251)*a^(9) - (6278467472127057)/(27878161649251)*a^(8) + (3785360787301711)/(27878161649251)*a^(7) - (1139480598860729)/(27878161649251)*a^(6) - (465139138715515)/(27878161649251)*a^(5) + (672730357442332)/(27878161649251)*a^(4) - (375116347039648)/(27878161649251)*a^(3) - (31930813293358)/(27878161649251)*a^(2) + (61431631944991)/(27878161649251)*a - (27988004623531)/(27878161649251) , (2490917284050)/(27878161649251)*a^(19) - (12888065721989)/(27878161649251)*a^(18) + (40300038378636)/(27878161649251)*a^(17) - (114137860802613)/(27878161649251)*a^(16) + (258501632678079)/(27878161649251)*a^(15) - (560357230164384)/(27878161649251)*a^(14) + (1027942323004843)/(27878161649251)*a^(13) - (1638931495632419)/(27878161649251)*a^(12) + (2366133101630499)/(27878161649251)*a^(11) - (2871896258050517)/(27878161649251)*a^(10) + (3034802225702990)/(27878161649251)*a^(9) - (2666335364351739)/(27878161649251)*a^(8) + (1766094489409200)/(27878161649251)*a^(7) - (776365119091768)/(27878161649251)*a^(6) + (16202090406247)/(27878161649251)*a^(5) + (232670275262116)/(27878161649251)*a^(4) - (157960820982212)/(27878161649251)*a^(3) + (74757796443982)/(27878161649251)*a^(2) - (16360118826283)/(27878161649251)*a + (16030578574238)/(27878161649251) , (1667523304987)/(27878161649251)*a^(19) + (1036504451088)/(27878161649251)*a^(18) + (2438394940312)/(27878161649251)*a^(17) + (9798633234341)/(27878161649251)*a^(16) - (19186175328124)/(27878161649251)*a^(15) + (47135601752374)/(27878161649251)*a^(14) - (163897701163037)/(27878161649251)*a^(13) + (188057066731969)/(27878161649251)*a^(12) - (361757009469877)/(27878161649251)*a^(11) + (346120352598960)/(27878161649251)*a^(10) - (181301082235257)/(27878161649251)*a^(9) - (6875806184908)/(27878161649251)*a^(8) + (581841285692566)/(27878161649251)*a^(7) - (772496121297055)/(27878161649251)*a^(6) + (988969982696030)/(27878161649251)*a^(5) - (605154598079259)/(27878161649251)*a^(4) + (179157609877360)/(27878161649251)*a^(3) + (39131795236746)/(27878161649251)*a^(2) - (127615778795484)/(27878161649251)*a + (11226365149504)/(27878161649251) , (20589231031732)/(27878161649251)*a^(19) - (72216086558978)/(27878161649251)*a^(18) + (256188788619682)/(27878161649251)*a^(17) - (644983682533284)/(27878161649251)*a^(16) + (1516714730321413)/(27878161649251)*a^(15) - (3183149559485976)/(27878161649251)*a^(14) + (5675713910391422)/(27878161649251)*a^(13) - (9179146536140582)/(27878161649251)*a^(12) + (12851495334917503)/(27878161649251)*a^(11) - (15791379650677682)/(27878161649251)*a^(10) + (16743457596461320)/(27878161649251)*a^(9) - (14825792137508645)/(27878161649251)*a^(8) + (10610417658438813)/(27878161649251)*a^(7) - (5330410577247584)/(27878161649251)*a^(6) + (1451531039422796)/(27878161649251)*a^(5) + (353683615486190)/(27878161649251)*a^(4) - (603890385070528)/(27878161649251)*a^(3) + (325980363852267)/(27878161649251)*a^(2) - (133480216008699)/(27878161649251)*a + (14947637952333)/(27878161649251) , (23251472270093)/(27878161649251)*a^(19) - (81126291653510)/(27878161649251)*a^(18) + (284593451061413)/(27878161649251)*a^(17) - (717890111865688)/(27878161649251)*a^(16) + (1668769342193508)/(27878161649251)*a^(15) - (3506486310465710)/(27878161649251)*a^(14) + (6180153926133264)/(27878161649251)*a^(13) - (9940771740073476)/(27878161649251)*a^(12) + (13767438377645041)/(27878161649251)*a^(11) - (16611362438306406)/(27878161649251)*a^(10) + (17292884320021541)/(27878161649251)*a^(9) - (14691382789173592)/(27878161649251)*a^(8) + (9831958151929413)/(27878161649251)*a^(7) - (4076334380564399)/(27878161649251)*a^(6) + (231353532842401)/(27878161649251)*a^(5) + (1163600637067361)/(27878161649251)*a^(4) - (842194114932421)/(27878161649251)*a^(3) + (196394850862235)/(27878161649251)*a^(2) - (11083056927911)/(27878161649251)*a - (2308380826950)/(27878161649251) ], 10346.2462525, [[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^10 - 2*x^9 + 4*x^8 + 3*x^7 - 17*x^6 + 45*x^5 - 68*x^4 + 48*x^3 - 41*x^2 - 17*x + 1, 1], [x^10 - 4*x^9 + 5*x^8 + 2*x^7 - 8*x^6 - x^5 + 4*x^4 + 6*x^3 - 2*x^2 - 3*x + 1, 1], [x^10 - 3*x^9 + 2*x^8 + 3*x^7 - 9*x^6 + 11*x^5 - 9*x^4 + 3*x^3 + 2*x^2 - 3*x + 1, 1]]]