/* 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 - 5*x^14 + 16*x^13 - 22*x^12 + 39*x^11 + 42*x^10 - 360*x^9 + 77*x^8 + 360*x^7 + 42*x^6 - 39*x^5 - 22*x^4 - 16*x^3 - 5*x^2 + 3*x + 1, 16, 390, [8, 4], 14578339124454047265625, [5, 29, 89], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/2*a^12 - 1/2*a^9 - 1/2*a^6 - 1/2*a^3 - 1/2, 1/2*a^13 - 1/2*a^10 - 1/2*a^7 - 1/2*a^4 - 1/2*a, 1/3403202*a^14 + 275493/1701601*a^13 - 46733/309382*a^12 - 811249/3403202*a^11 + 187071/1701601*a^10 + 55679/3403202*a^9 - 88665/309382*a^8 + 74409/154691*a^7 + 88665/309382*a^6 + 55679/3403202*a^5 - 187071/1701601*a^4 - 811249/3403202*a^3 + 46733/309382*a^2 + 275493/1701601*a - 1/3403202, 1/2589836722*a^15 + 18/1294918361*a^14 + 206962959/2589836722*a^13 + 123437029/2589836722*a^12 + 70705253/1294918361*a^11 - 498401573/2589836722*a^10 + 764862913/2589836722*a^9 + 57984273/117719851*a^8 - 26924557/235439702*a^7 - 201952699/2589836722*a^6 - 280892347/1294918361*a^5 + 38213733/2589836722*a^4 - 583331599/2589836722*a^3 + 509889290/1294918361*a^2 - 878144417/2589836722*a - 379181548/1294918361], 0, 1, [], 1, [ (153863)/(309382)*a^(15) - (526031)/(309382)*a^(14) - (565961)/(309382)*a^(13) + (1377023)/(154691)*a^(12) - (4467447)/(309382)*a^(11) + (7583295)/(309382)*a^(10) + (1862966)/(154691)*a^(9) - (57728791)/(309382)*a^(8) + (35536617)/(309382)*a^(7) + (23354817)/(154691)*a^(6) - (15895431)/(309382)*a^(5) - (4757301)/(309382)*a^(4) - (682328)/(154691)*a^(3) - (884553)/(309382)*a^(2) + (428481)/(309382)*a + (648073)/(309382) , (299301349)/(2589836722)*a^(15) - (749951681)/(1294918361)*a^(14) + (265130939)/(2589836722)*a^(13) + (7827189519)/(2589836722)*a^(12) - (7848242586)/(1294918361)*a^(11) + (24747675945)/(2589836722)*a^(10) - (11439751557)/(2589836722)*a^(9) - (6025716606)/(117719851)*a^(8) + (21250501675)/(235439702)*a^(7) + (72971009511)/(2589836722)*a^(6) - (85952557893)/(1294918361)*a^(5) - (56196902953)/(2589836722)*a^(4) - (14073731649)/(2589836722)*a^(3) - (480919990)/(1294918361)*a^(2) + (6476177423)/(2589836722)*a + (1785317990)/(1294918361) , (1141443297)/(2589836722)*a^(15) - (1731957009)/(1294918361)*a^(14) - (5484692233)/(2589836722)*a^(13) + (18173136525)/(2589836722)*a^(12) - (1196508456)/(117719851)*a^(11) + (46916092709)/(2589836722)*a^(10) + (44389606873)/(2589836722)*a^(9) - (18591423779)/(117719851)*a^(8) + (9767864745)/(235439702)*a^(7) + (371631886611)/(2589836722)*a^(6) + (17058008633)/(1294918361)*a^(5) - (9423080459)/(2589836722)*a^(4) - (17030183209)/(2589836722)*a^(3) - (8999717242)/(1294918361)*a^(2) - (1643952775)/(2589836722)*a + (793644261)/(1294918361) , (750594463)/(2589836722)*a^(15) - (909955159)/(1294918361)*a^(14) - (2535476945)/(1294918361)*a^(13) + (5007736334)/(1294918361)*a^(12) - (4894620284)/(1294918361)*a^(11) + (9464214846)/(1294918361)*a^(10) + (25232925665)/(1294918361)*a^(9) - (11599040574)/(117719851)*a^(8) - (4306475320)/(117719851)*a^(7) + (157913529665)/(1294918361)*a^(6) + (74576973282)/(1294918361)*a^(5) - (4939588424)/(1294918361)*a^(4) + (693231784)/(1294918361)*a^(3) - (10537506667)/(1294918361)*a^(2) - (3829366285)/(1294918361)*a + (490763817)/(2589836722) , (325613273)/(2589836722)*a^(15) - (394026145)/(2589836722)*a^(14) - (3333470191)/(2589836722)*a^(13) + (1131450065)/(1294918361)*a^(12) + (1700938627)/(2589836722)*a^(11) - (71318553)/(2589836722)*a^(10) + (18442934033)/(1294918361)*a^(9) - (8405740115)/(235439702)*a^(8) - (16418056127)/(235439702)*a^(7) + (76680935436)/(1294918361)*a^(6) + (192047121815)/(2589836722)*a^(5) + (19733101911)/(2589836722)*a^(4) + (9262891742)/(1294918361)*a^(3) - (11190329827)/(2589836722)*a^(2) - (14184088207)/(2589836722)*a - (3816783783)/(2589836722) , (4193971519)/(2589836722)*a^(15) - (6526086708)/(1294918361)*a^(14) - (9623177492)/(1294918361)*a^(13) + (34342433901)/(1294918361)*a^(12) - (50920863457)/(1294918361)*a^(11) + (8094251171)/(117719851)*a^(10) + (76688775723)/(1294918361)*a^(9) - (69141022366)/(117719851)*a^(8) + (23287726207)/(117719851)*a^(7) + (683874417571)/(1294918361)*a^(6) - (13460077186)/(1294918361)*a^(5) - (30773489077)/(1294918361)*a^(4) - (9133243005)/(1294918361)*a^(3) - (27619524473)/(1294918361)*a^(2) - (413508154)/(117719851)*a + (11635360817)/(2589836722) , (299301349)/(2589836722)*a^(15) - (749951681)/(1294918361)*a^(14) + (265130939)/(2589836722)*a^(13) + (7827189519)/(2589836722)*a^(12) - (7848242586)/(1294918361)*a^(11) + (24747675945)/(2589836722)*a^(10) - (11439751557)/(2589836722)*a^(9) - (6025716606)/(117719851)*a^(8) + (21250501675)/(235439702)*a^(7) + (72971009511)/(2589836722)*a^(6) - (85952557893)/(1294918361)*a^(5) - (56196902953)/(2589836722)*a^(4) - (14073731649)/(2589836722)*a^(3) - (480919990)/(1294918361)*a^(2) + (6476177423)/(2589836722)*a + (3080236351)/(1294918361) , (687734489)/(2589836722)*a^(15) - (1413739061)/(1294918361)*a^(14) - (974678797)/(2589836722)*a^(13) + (7130379246)/(1294918361)*a^(12) - (14033796134)/(1294918361)*a^(11) + (46631081897)/(2589836722)*a^(10) - (2709038955)/(1294918361)*a^(9) - (12361264054)/(117719851)*a^(8) + (30289136251)/(235439702)*a^(7) + (62652975789)/(1294918361)*a^(6) - (107968659981)/(1294918361)*a^(5) + (700411011)/(2589836722)*a^(4) + (3781165350)/(1294918361)*a^(3) - (5674616567)/(1294918361)*a^(2) + (3573782635)/(2589836722)*a + (7232390967)/(2589836722) , (210908879)/(1294918361)*a^(15) - (1530025403)/(2589836722)*a^(14) - (612608759)/(1294918361)*a^(13) + (7608672983)/(2589836722)*a^(12) - (13370146083)/(2589836722)*a^(11) + (12276237760)/(1294918361)*a^(10) + (2493234947)/(2589836722)*a^(9) - (14058084421)/(235439702)*a^(8) + (5570068769)/(117719851)*a^(7) + (93674447023)/(2589836722)*a^(6) - (4467809771)/(2589836722)*a^(5) - (8608442760)/(1294918361)*a^(4) - (37163365413)/(2589836722)*a^(3) - (16799470937)/(2589836722)*a^(2) + (1214581007)/(1294918361)*a + (2586885739)/(2589836722) , (883391923)/(2589836722)*a^(15) - (196367827)/(235439702)*a^(14) - (2753878018)/(1294918361)*a^(13) + (10686244499)/(2589836722)*a^(12) - (13774408099)/(2589836722)*a^(11) + (14339976346)/(1294918361)*a^(10) + (49268582587)/(2589836722)*a^(9) - (25809326373)/(235439702)*a^(8) - (4057467135)/(117719851)*a^(7) + (229521415817)/(2589836722)*a^(6) + (18165450813)/(235439702)*a^(5) + (43282316925)/(1294918361)*a^(4) + (18518755701)/(2589836722)*a^(3) + (10799800797)/(2589836722)*a^(2) - (2168027575)/(1294918361)*a - (640924848)/(1294918361) , (2925864383)/(1294918361)*a^(15) - (9862201036)/(1294918361)*a^(14) - (10952475597)/(1294918361)*a^(13) + (101492086029)/(2589836722)*a^(12) - (7551665040)/(117719851)*a^(11) + (145469255869)/(1294918361)*a^(10) + (134869665105)/(2589836722)*a^(9) - (97782706230)/(117719851)*a^(8) + (56498865015)/(117719851)*a^(7) + (1628493167311)/(2589836722)*a^(6) - (154399292315)/(1294918361)*a^(5) - (62641196999)/(1294918361)*a^(4) - (106181805341)/(2589836722)*a^(3) - (26928345012)/(1294918361)*a^(2) - (4976564306)/(1294918361)*a + (20218578541)/(2589836722) ], 133993.00381, [[x^2 - x - 1, 1], [x^4 - x^3 - 5*x^2 + 2*x + 4, 1], [x^4 - x^3 - 3*x^2 + x + 1, 1], [x^4 - 2*x^3 - 24*x^2 + 25*x + 155, 1], [x^8 - 4*x^7 - 8*x^6 + 38*x^5 + 7*x^4 - 82*x^3 + 55*x^2 - 7*x - 1, 1], [x^8 - 3*x^7 + 3*x^6 - 5*x^5 - 32*x^4 + 77*x^3 - 75*x^2 - 184*x + 109, 1], [x^8 - x^7 - 4*x^6 + 8*x^5 - 9*x^4 + 8*x^3 - 4*x^2 - x + 1, 1]]]