/* 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 - 7*x^18 + 40*x^17 + 2*x^16 - 165*x^15 + 106*x^14 + 411*x^13 - 291*x^12 - 554*x^11 + 441*x^10 + 590*x^9 - 271*x^8 - 449*x^7 + 42*x^6 + 198*x^5 + 16*x^4 - 40*x^3 - 10*x^2 + 4*x + 1, 20, 368, [8, 6], 486911802025734669619140625, [5, 13, 347], [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, 1/481*a^18 - 16/37*a^17 - 160/481*a^16 + 1/13*a^15 - 96/481*a^14 - 191/481*a^13 - 231/481*a^12 - 59/481*a^11 - 76/481*a^10 - 190/481*a^9 + 51/481*a^8 + 55/481*a^7 - 67/481*a^6 + 46/481*a^5 + 181/481*a^4 + 33/481*a^3 + 158/481*a^2 + 132/481*a - 204/481, 1/107246433712093*a^19 - 5210882210/107246433712093*a^18 + 6738443323075/107246433712093*a^17 - 30902664194673/107246433712093*a^16 + 11485078209823/107246433712093*a^15 - 18747850475267/107246433712093*a^14 + 18138874938547/107246433712093*a^13 - 35538365375991/107246433712093*a^12 + 38368744208544/107246433712093*a^11 + 15672151111282/107246433712093*a^10 - 32430943723873/107246433712093*a^9 + 30475325007963/107246433712093*a^8 + 30768320634007/107246433712093*a^7 - 35098658202105/107246433712093*a^6 - 38249272142388/107246433712093*a^5 + 42287599248552/107246433712093*a^4 + 3335071131166/107246433712093*a^3 + 40076322044/123130233883*a^2 - 1782334287641/107246433712093*a + 48203356381098/107246433712093], 0, 1, [], 1, [ (2640272618018)/(1600693040479)*a^(19) - (8437576097234)/(1600693040479)*a^(18) - (25739590737169)/(1600693040479)*a^(17) + (6656664377572)/(123130233883)*a^(16) + (79029590797147)/(1600693040479)*a^(15) - (29880719842347)/(123130233883)*a^(14) - (42440347036832)/(1600693040479)*a^(13) + (1121857602901316)/(1600693040479)*a^(12) + (124462531925060)/(1600693040479)*a^(11) - (1557969170520129)/(1600693040479)*a^(10) - (65623680182943)/(1600693040479)*a^(9) + (1773598540347282)/(1600693040479)*a^(8) + (660743386659318)/(1600693040479)*a^(7) - (955894758465042)/(1600693040479)*a^(6) - (706337104084945)/(1600693040479)*a^(5) + (134562160223162)/(1600693040479)*a^(4) + (235096903179105)/(1600693040479)*a^(3) + (36694923831419)/(1600693040479)*a^(2) - (28214794021257)/(1600693040479)*a - (8573044692958)/(1600693040479) , (708051946559)/(1600693040479)*a^(19) - (2116754357438)/(1600693040479)*a^(18) - (7052855567521)/(1600693040479)*a^(17) + (20807979512547)/(1600693040479)*a^(16) + (22770836749836)/(1600693040479)*a^(15) - (89616930771653)/(1600693040479)*a^(14) - (22630875211019)/(1600693040479)*a^(13) + (251879751994868)/(1600693040479)*a^(12) + (89392387808251)/(1600693040479)*a^(11) - (275661525279315)/(1600693040479)*a^(10) - (6972037888863)/(123130233883)*a^(9) + (294247361517415)/(1600693040479)*a^(8) + (284958086829939)/(1600693040479)*a^(7) - (25126863904236)/(1600693040479)*a^(6) - (181852963822737)/(1600693040479)*a^(5) - (85998300523053)/(1600693040479)*a^(4) + (17275033371403)/(1600693040479)*a^(3) + (30408192228472)/(1600693040479)*a^(2) + (1935978265583)/(1600693040479)*a - (2195817652208)/(1600693040479) , (9994027567055)/(8249725670161)*a^(19) - (405706780532247)/(107246433712093)*a^(18) - (99772138236284)/(8249725670161)*a^(17) + (4163356349726089)/(107246433712093)*a^(16) + (4214383494636248)/(107246433712093)*a^(15) - (18828777704332406)/(107246433712093)*a^(14) - (3588401654709257)/(107246433712093)*a^(13) + (55157585198519833)/(107246433712093)*a^(12) + (10421187115039889)/(107246433712093)*a^(11) - (76724076579956206)/(107246433712093)*a^(10) - (9222526618753716)/(107246433712093)*a^(9) + (87824333015287517)/(107246433712093)*a^(8) + (39056907848781371)/(107246433712093)*a^(7) - (45632453045849737)/(107246433712093)*a^(6) - (38553161585025106)/(107246433712093)*a^(5) + (4673039968186355)/(107246433712093)*a^(4) + (11990826672624547)/(107246433712093)*a^(3) + (32218463286751)/(1600693040479)*a^(2) - (1249048870514196)/(107246433712093)*a - (385203631100453)/(107246433712093) , (124961653848302)/(107246433712093)*a^(19) - (469778004825761)/(107246433712093)*a^(18) - (973862314655885)/(107246433712093)*a^(17) + (4705570946836276)/(107246433712093)*a^(16) + (100367308159221)/(8249725670161)*a^(15) - (19772590957599201)/(107246433712093)*a^(14) + (8401533919313198)/(107246433712093)*a^(13) + (51423082416956799)/(107246433712093)*a^(12) - (1730480373793616)/(8249725670161)*a^(11) - (5390351724130587)/(8249725670161)*a^(10) + (35174798949441893)/(107246433712093)*a^(9) + (76025412278857680)/(107246433712093)*a^(8) - (11836949939720926)/(107246433712093)*a^(7) - (51505077970100870)/(107246433712093)*a^(6) - (8674720545597901)/(107246433712093)*a^(5) + (16759106416761144)/(107246433712093)*a^(4) + (5380838962483080)/(107246433712093)*a^(3) - (22543082336681)/(1600693040479)*a^(2) - (861336107143185)/(107246433712093)*a - (44684795808880)/(107246433712093) , (308337360233041)/(107246433712093)*a^(19) - (1053334956376247)/(107246433712093)*a^(18) - (2773286057208573)/(107246433712093)*a^(17) + (10713787901317206)/(107246433712093)*a^(16) + (6873855165454737)/(107246433712093)*a^(15) - (46862210540022171)/(107246433712093)*a^(14) + (5310813957673814)/(107246433712093)*a^(13) + (129843483613306234)/(107246433712093)*a^(12) - (13898862344806324)/(107246433712093)*a^(11) - (178983098772092971)/(107246433712093)*a^(10) + (31462016186742579)/(107246433712093)*a^(9) + (15410130264389126)/(8249725670161)*a^(8) + (33412511466228386)/(107246433712093)*a^(7) - (118961192125588778)/(107246433712093)*a^(6) - (56511237881157165)/(107246433712093)*a^(5) + (28071550450153974)/(107246433712093)*a^(4) + (21324844839490113)/(107246433712093)*a^(3) + (1694415946038)/(1600693040479)*a^(2) - (3018176883367257)/(107246433712093)*a - (462046152609505)/(107246433712093) , (309936842927632)/(107246433712093)*a^(19) - (1020631316109533)/(107246433712093)*a^(18) - (2916744305076126)/(107246433712093)*a^(17) + (10420536794714744)/(107246433712093)*a^(16) + (8227837393065842)/(107246433712093)*a^(15) - (46201723931360938)/(107246433712093)*a^(14) - (471573097182874)/(107246433712093)*a^(13) + (130984894681528440)/(107246433712093)*a^(12) + (2256985912051632)/(107246433712093)*a^(11) - (181238836255984708)/(107246433712093)*a^(10) + (9190124280810732)/(107246433712093)*a^(9) + (204796269104670014)/(107246433712093)*a^(8) + (58539190467828002)/(107246433712093)*a^(7) - (115093860056794624)/(107246433712093)*a^(6) - (71532408461013250)/(107246433712093)*a^(5) + (21064487043947812)/(107246433712093)*a^(4) + (24437846950330733)/(107246433712093)*a^(3) + (2553196049570)/(123130233883)*a^(2) - (2837198030343772)/(107246433712093)*a - (693540991333494)/(107246433712093) , (4717363229110)/(107246433712093)*a^(19) - (40758849076827)/(107246433712093)*a^(18) + (45514298924904)/(107246433712093)*a^(17) + (384313072403982)/(107246433712093)*a^(16) - (827142452810400)/(107246433712093)*a^(15) - (1229919748042948)/(107246433712093)*a^(14) + (4339048727550958)/(107246433712093)*a^(13) + (86335097642027)/(8249725670161)*a^(12) - (12328176618602380)/(107246433712093)*a^(11) + (788430340845276)/(107246433712093)*a^(10) + (19147539044603357)/(107246433712093)*a^(9) - (3858123977832376)/(107246433712093)*a^(8) - (20381425461953132)/(107246433712093)*a^(7) + (1570636438320354)/(107246433712093)*a^(6) + (382861417918836)/(2898552262489)*a^(5) + (2676634944889650)/(107246433712093)*a^(4) - (139053433656702)/(2898552262489)*a^(3) - (26819500454538)/(1600693040479)*a^(2) + (63547170429006)/(8249725670161)*a + (265303866129830)/(107246433712093) , (204764824684505)/(107246433712093)*a^(19) - (761411309877275)/(107246433712093)*a^(18) - (1604947578314602)/(107246433712093)*a^(17) + (7567469000106749)/(107246433712093)*a^(16) + (2260499757443500)/(107246433712093)*a^(15) - (31520780347807698)/(107246433712093)*a^(14) + (12816811053243601)/(107246433712093)*a^(13) + (81451919263554451)/(107246433712093)*a^(12) - (32357367081952422)/(107246433712093)*a^(11) - (107592389073394577)/(107246433712093)*a^(10) + (50138577038388677)/(107246433712093)*a^(9) + (8982552828195027)/(8249725670161)*a^(8) - (9205147546051928)/(107246433712093)*a^(7) - (75540437368119483)/(107246433712093)*a^(6) - (17468396841285185)/(107246433712093)*a^(5) + (23099439595474855)/(107246433712093)*a^(4) + (8026471882098961)/(107246433712093)*a^(3) - (31376787693496)/(1600693040479)*a^(2) - (1479981928344044)/(107246433712093)*a + (27515527647913)/(107246433712093) , (234386918122415)/(107246433712093)*a^(19) - (785109415285685)/(107246433712093)*a^(18) - (2223598256384542)/(107246433712093)*a^(17) + (8235152174312516)/(107246433712093)*a^(16) + (6244075846582068)/(107246433712093)*a^(15) - (37534761034686184)/(107246433712093)*a^(14) + (1056059246944827)/(107246433712093)*a^(13) + (108182676035130563)/(107246433712093)*a^(12) - (7990079979081606)/(107246433712093)*a^(11) - (160069119626909039)/(107246433712093)*a^(10) + (24191612550761111)/(107246433712093)*a^(9) + (182874800194476924)/(107246433712093)*a^(8) + (1632764818248188)/(8249725670161)*a^(7) - (119224918487425912)/(107246433712093)*a^(6) - (47540420051363425)/(107246433712093)*a^(5) + (35644731825142790)/(107246433712093)*a^(4) + (22496087551501812)/(107246433712093)*a^(3) - (34222453757365)/(1600693040479)*a^(2) - (3470547455691271)/(107246433712093)*a - (614345756294475)/(107246433712093) , (6477440977533)/(107246433712093)*a^(19) - (18239353035808)/(107246433712093)*a^(18) - (74871163162365)/(107246433712093)*a^(17) + (210262281615718)/(107246433712093)*a^(16) + (274097575976015)/(107246433712093)*a^(15) - (1063512599738733)/(107246433712093)*a^(14) - (247216710171640)/(107246433712093)*a^(13) + (3255941801961263)/(107246433712093)*a^(12) + (258392875531664)/(107246433712093)*a^(11) - (4524591933546697)/(107246433712093)*a^(10) + (684003809557867)/(107246433712093)*a^(9) + (421167611917928)/(8249725670161)*a^(8) + (979654499775006)/(107246433712093)*a^(7) - (3411165338330094)/(107246433712093)*a^(6) - (511931361867949)/(107246433712093)*a^(5) + (2296779298440976)/(107246433712093)*a^(4) + (192513364006998)/(107246433712093)*a^(3) - (12457425548700)/(1600693040479)*a^(2) - (266449576799853)/(107246433712093)*a + (264279071339654)/(107246433712093) , (469661164283475)/(107246433712093)*a^(19) - (1567026791289091)/(107246433712093)*a^(18) - (4376834419560856)/(107246433712093)*a^(17) + (16084373324866358)/(107246433712093)*a^(16) + (11921317041214675)/(107246433712093)*a^(15) - (71503348035202054)/(107246433712093)*a^(14) + (2507348887350336)/(107246433712093)*a^(13) + (202058161475079731)/(107246433712093)*a^(12) - (8250027156376846)/(107246433712093)*a^(11) - (282668302883171988)/(107246433712093)*a^(10) + (32699744958734537)/(107246433712093)*a^(9) + (24525974098742322)/(8249725670161)*a^(8) + (66623646644619354)/(107246433712093)*a^(7) - (187199277651386291)/(107246433712093)*a^(6) - (96833927525106586)/(107246433712093)*a^(5) + (42676043139855898)/(107246433712093)*a^(4) + (36419536050400414)/(107246433712093)*a^(3) + (12945997728657)/(1600693040479)*a^(2) - (5020566931232006)/(107246433712093)*a - (948536550284695)/(107246433712093) , (202833829660690)/(107246433712093)*a^(19) - (721143633640492)/(107246433712093)*a^(18) - (1702378738401616)/(107246433712093)*a^(17) + (555945067553430)/(8249725670161)*a^(16) + (3251869454019327)/(107246433712093)*a^(15) - (2354469514280913)/(8249725670161)*a^(14) + (8840195326203729)/(107246433712093)*a^(13) + (80678330329991679)/(107246433712093)*a^(12) - (22004375809281587)/(107246433712093)*a^(11) - (2795545474290609)/(2898552262489)*a^(10) + (37991223760473251)/(107246433712093)*a^(9) + (110103157770945331)/(107246433712093)*a^(8) + (5839200656249202)/(107246433712093)*a^(7) - (60920410000395448)/(107246433712093)*a^(6) - (23352259086144169)/(107246433712093)*a^(5) + (12940001281140187)/(107246433712093)*a^(4) + (6969033143166766)/(107246433712093)*a^(3) + (9513140639155)/(1600693040479)*a^(2) - (967347134280116)/(107246433712093)*a - (235532115459395)/(107246433712093) , (43168052081014)/(107246433712093)*a^(19) - (209321783781416)/(107246433712093)*a^(18) - (144530976840665)/(107246433712093)*a^(17) + (1940990338524077)/(107246433712093)*a^(16) - (1452649253444897)/(107246433712093)*a^(15) - (6818353491154158)/(107246433712093)*a^(14) + (10658948044239125)/(107246433712093)*a^(13) + (12495203228892901)/(107246433712093)*a^(12) - (26901163947540191)/(107246433712093)*a^(11) - (10112990755540360)/(107246433712093)*a^(10) + (38462608655066870)/(107246433712093)*a^(9) + (161362904017944)/(2898552262489)*a^(8) - (32604454013725933)/(107246433712093)*a^(7) - (146535072889723)/(2898552262489)*a^(6) + (1529048550343025)/(8249725670161)*a^(5) + (4962449670794839)/(107246433712093)*a^(4) - (7698606650122028)/(107246433712093)*a^(3) - (34006568681726)/(1600693040479)*a^(2) + (932758495802118)/(107246433712093)*a + (545803639582563)/(107246433712093) ], 456139.078976, [[x^2 - x - 1, 1], [x^5 - x^3 - 2*x^2 + 1, 1], [x^10 - 3*x^8 - 8*x^7 + x^6 + 13*x^5 - 4*x^4 - 4*x^3 + 6*x^2 - 1, 1], [x^10 - 4*x^9 - 9*x^8 + 52*x^7 - 37*x^6 - 153*x^5 + 465*x^4 - 64*x^3 - 1054*x^2 + 693*x + 799, 1], [x^10 - 4*x^9 + 3*x^8 + 7*x^7 - 13*x^6 + 2*x^5 + 12*x^4 - 8*x^3 - 2*x^2 + 4*x - 1, 1]]]