/* 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^16 - 3*x^15 + 4*x^14 - 6*x^13 + 6*x^12 - 24*x^11 + 85*x^10 - 150*x^9 + 222*x^8 - 405*x^7 + 490*x^6 - 288*x^5 + 191*x^4 - 228*x^3 + 126*x^2 - 21*x + 1, 16, 1771, [6, 5], -298892216010498046875, [3, 5, 179, 1021], [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, 1/3605976623738351*a^15 + 211089986662298/3605976623738351*a^14 + 504178652109895/3605976623738351*a^13 + 1128477814566338/3605976623738351*a^12 + 33219222813734/3605976623738351*a^11 + 7367533910326/124344021508219*a^10 - 1129342291708047/3605976623738351*a^9 - 76034443725204/3605976623738351*a^8 - 676168841620307/3605976623738351*a^7 - 1398611616849591/3605976623738351*a^6 - 372587161822864/3605976623738351*a^5 - 726804838981338/3605976623738351*a^4 + 956114934557104/3605976623738351*a^3 + 795389941812920/3605976623738351*a^2 + 204163705521251/3605976623738351*a - 1122545926113595/3605976623738351], 0, 1, [], 1, [ (4022301831)/(74502109951)*a^(15) - (13107236664)/(74502109951)*a^(14) + (14295431796)/(74502109951)*a^(13) - (20027749792)/(74502109951)*a^(12) + (22451196414)/(74502109951)*a^(11) - (84582957921)/(74502109951)*a^(10) + (362435389632)/(74502109951)*a^(9) - (583502230599)/(74502109951)*a^(8) + (774841242087)/(74502109951)*a^(7) - (1504647556963)/(74502109951)*a^(6) + (1801752058449)/(74502109951)*a^(5) - (496479255087)/(74502109951)*a^(4) + (315197053596)/(74502109951)*a^(3) - (908007903018)/(74502109951)*a^(2) + (201668925633)/(74502109951)*a + (109865346368)/(74502109951) , (694342154987377)/(3605976623738351)*a^(15) + (363532244669148)/(3605976623738351)*a^(14) - (2109740606848727)/(3605976623738351)*a^(13) + (483527895377125)/(3605976623738351)*a^(12) - (5385909872890680)/(3605976623738351)*a^(11) - (413238935736524)/(124344021508219)*a^(10) + (5870548697833066)/(3605976623738351)*a^(9) + (50178009759752271)/(3605976623738351)*a^(8) - (53060096476678063)/(3605976623738351)*a^(7) + (39447036993446076)/(3605976623738351)*a^(6) - (309765164141742752)/(3605976623738351)*a^(5) + (317746176599627938)/(3605976623738351)*a^(4) + (6331963589115648)/(3605976623738351)*a^(3) + (137813093715597118)/(3605976623738351)*a^(2) - (167791095543953636)/(3605976623738351)*a + (14894551942371923)/(3605976623738351) , (890970453271146)/(3605976623738351)*a^(15) - (1476379753614938)/(3605976623738351)*a^(14) + (1016331231289087)/(3605976623738351)*a^(13) - (2852113143035784)/(3605976623738351)*a^(12) + (486925831088251)/(3605976623738351)*a^(11) - (642193333893853)/(124344021508219)*a^(10) + (49763485874233359)/(3605976623738351)*a^(9) - (54736628387418600)/(3605976623738351)*a^(8) + (88741860650515685)/(3605976623738351)*a^(7) - (194792622283706097)/(3605976623738351)*a^(6) + (103886261561880605)/(3605976623738351)*a^(5) + (27932467428181900)/(3605976623738351)*a^(4) + (95672646725647265)/(3605976623738351)*a^(3) - (58157872940359512)/(3605976623738351)*a^(2) - (23503373105972323)/(3605976623738351)*a + (1305120569089234)/(3605976623738351) , (889025585909608)/(3605976623738351)*a^(15) - (270871117105116)/(3605976623738351)*a^(14) - (1417827412490531)/(3605976623738351)*a^(13) - (485835222305467)/(3605976623738351)*a^(12) - (4299249515256666)/(3605976623738351)*a^(11) - (554407892506673)/(124344021508219)*a^(10) + (23412783991411498)/(3605976623738351)*a^(9) + (21935918296530072)/(3605976623738351)*a^(8) - (15557005518425176)/(3605976623738351)*a^(7) - (33379409411120087)/(3605976623738351)*a^(6) - (222558562760752703)/(3605976623738351)*a^(5) + (293716084174162051)/(3605976623738351)*a^(4) + (21587816180215644)/(3605976623738351)*a^(3) + (93864603201622900)/(3605976623738351)*a^(2) - (158030117874390803)/(3605976623738351)*a + (20212144571929491)/(3605976623738351) , (578055038697441)/(3605976623738351)*a^(15) - (558986029965648)/(3605976623738351)*a^(14) - (106841111663471)/(3605976623738351)*a^(13) - (1076332255059134)/(3605976623738351)*a^(12) - (1228430616184722)/(3605976623738351)*a^(11) - (392924703937624)/(124344021508219)*a^(10) + (23538476607242597)/(3605976623738351)*a^(9) - (11262060933958828)/(3605976623738351)*a^(8) + (23986720698210351)/(3605976623738351)*a^(7) - (74474732540636378)/(3605976623738351)*a^(6) - (36978458954777959)/(3605976623738351)*a^(5) + (98702298970880768)/(3605976623738351)*a^(4) + (38833831405257764)/(3605976623738351)*a^(3) + (3427118620292217)/(3605976623738351)*a^(2) - (50927201993890560)/(3605976623738351)*a + (2168303335370929)/(3605976623738351) , (750285338554635)/(3605976623738351)*a^(15) - (3544388866368675)/(3605976623738351)*a^(14) + (5819607893793387)/(3605976623738351)*a^(13) - (7269807268910047)/(3605976623738351)*a^(12) + (9787964821755116)/(3605976623738351)*a^(11) - (730206100989594)/(124344021508219)*a^(10) + (91750405799938232)/(3605976623738351)*a^(9) - (199192668664081838)/(3605976623738351)*a^(8) + (287302087799652839)/(3605976623738351)*a^(7) - (485630610652816284)/(3605976623738351)*a^(6) + (732422436680788100)/(3605976623738351)*a^(5) - (534618646419840479)/(3605976623738351)*a^(4) + (224040445134784812)/(3605976623738351)*a^(3) - (322910516869047092)/(3605976623738351)*a^(2) + (247815670575612377)/(3605976623738351)*a - (33017486665844296)/(3605976623738351) , (40517508011687)/(3605976623738351)*a^(15) - (128004638010026)/(3605976623738351)*a^(14) + (140536890975151)/(3605976623738351)*a^(13) - (197731810492582)/(3605976623738351)*a^(12) + (221929507108975)/(3605976623738351)*a^(11) - (30539149616646)/(124344021508219)*a^(10) + (3535849868645334)/(3605976623738351)*a^(9) - (5719521010077384)/(3605976623738351)*a^(8) + (7628563377419612)/(3605976623738351)*a^(7) - (14785851474195284)/(3605976623738351)*a^(6) + (18229504014087506)/(3605976623738351)*a^(5) - (4939252786591668)/(3605976623738351)*a^(4) + (2819233412210258)/(3605976623738351)*a^(3) - (9223374655328121)/(3605976623738351)*a^(2) + (2064062370375635)/(3605976623738351)*a + (2872887419355029)/(3605976623738351) , (2857074166890764)/(3605976623738351)*a^(15) - (7684249435693460)/(3605976623738351)*a^(14) + (9313312105045500)/(3605976623738351)*a^(13) - (14799487242571661)/(3605976623738351)*a^(12) + (13037252873700369)/(3605976623738351)*a^(11) - (2259533808651746)/(124344021508219)*a^(10) + (223016835450291183)/(3605976623738351)*a^(9) - (365155084711864118)/(3605976623738351)*a^(8) + (538185511371724798)/(3605976623738351)*a^(7) - (1012500261861231059)/(3605976623738351)*a^(6) + (1119416552037193295)/(3605976623738351)*a^(5) - (545621638131866793)/(3605976623738351)*a^(4) + (432794822221943142)/(3605976623738351)*a^(3) - (525934981335785581)/(3605976623738351)*a^(2) + (225975003177857246)/(3605976623738351)*a - (18302441319267784)/(3605976623738351) , (1465689470057794)/(3605976623738351)*a^(15) - (4272483043285949)/(3605976623738351)*a^(14) + (5396298187077953)/(3605976623738351)*a^(13) - (8101498663986686)/(3605976623738351)*a^(12) + (7820458512882988)/(3605976623738351)*a^(11) - (1173062831534996)/(124344021508219)*a^(10) + (121421036816473950)/(3605976623738351)*a^(9) - (207190950687123934)/(3605976623738351)*a^(8) + (300763179426294496)/(3605976623738351)*a^(7) - (557073868331230172)/(3605976623738351)*a^(6) + (653334514243427342)/(3605976623738351)*a^(5) - (335732532413928700)/(3605976623738351)*a^(4) + (221476758906394356)/(3605976623738351)*a^(3) - (300551734455929295)/(3605976623738351)*a^(2) + (152238120723789714)/(3605976623738351)*a - (13031834810163184)/(3605976623738351) , (1834597274505314)/(3605976623738351)*a^(15) - (3560040780765448)/(3605976623738351)*a^(14) + (2983594221091458)/(3605976623738351)*a^(13) - (6660129287494501)/(3605976623738351)*a^(12) + (2850390837495809)/(3605976623738351)*a^(11) - (1335856617391062)/(124344021508219)*a^(10) + (113678741754169729)/(3605976623738351)*a^(9) - (142151419037099157)/(3605976623738351)*a^(8) + (219426549218826590)/(3605976623738351)*a^(7) - (460971114984128064)/(3605976623738351)*a^(6) + (334420572874073981)/(3605976623738351)*a^(5) - (17179203953772087)/(3605976623738351)*a^(4) + (205060768131566916)/(3605976623738351)*a^(3) - (175717377974758472)/(3605976623738351)*a^(2) - (22753130138182275)/(3605976623738351)*a + (2304596944438116)/(3605976623738351) ], 10347.5753866, [[x^2 - x - 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^8 - 4*x^7 - x^6 + 17*x^5 - 6*x^4 - 21*x^3 + 6*x^2 + 8*x + 1, 1]]]