/* 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 - 8*x^14 - 16*x^13 + 4*x^12 + 88*x^11 + 128*x^10 - 16*x^9 - 220*x^8 - 192*x^7 + 176*x^6 + 288*x^5 - 44*x^4 - 88*x^3 + 48*x^2 + 16*x - 7, 16, 516, [4, 6], 8477503880968183742464, [2, 7], [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, 1/7*a^14 + 3/7*a^13 - 3/7*a^12 - 2/7*a^11 + 3/7*a^10 - 3/7*a^8 + 3/7*a^7 - 3/7*a^6 - 3/7*a^5 - 3/7*a^4 - 3/7*a^3 + 1/7*a^2 - 3/7*a, 1/9543570494983*a^15 + 79149959704/1363367213569*a^14 - 1581797504558/9543570494983*a^13 + 302489474481/1363367213569*a^12 + 3217077973545/9543570494983*a^11 - 4135102950344/9543570494983*a^10 + 459885896488/9543570494983*a^9 - 2736191678145/9543570494983*a^8 - 1245638266829/9543570494983*a^7 + 249286531416/9543570494983*a^6 - 3825728526915/9543570494983*a^5 + 4665409200360/9543570494983*a^4 - 2240550922334/9543570494983*a^3 - 2848784004394/9543570494983*a^2 + 1903524964273/9543570494983*a + 510026280043/1363367213569], 0, 1, [], 1, [ (207049342916)/(9543570494983)*a^(15) + (414093630844)/(9543570494983)*a^(14) - (292122317918)/(1363367213569)*a^(13) - (6014906868958)/(9543570494983)*a^(12) - (3445503501164)/(9543570494983)*a^(11) + (22162874883718)/(9543570494983)*a^(10) + (56364907215993)/(9543570494983)*a^(9) + (3453378188187)/(1363367213569)*a^(8) - (8390867977368)/(1363367213569)*a^(7) - (99044932528763)/(9543570494983)*a^(6) + (2758376257696)/(9543570494983)*a^(5) + (119300729655782)/(9543570494983)*a^(4) + (26238505178404)/(9543570494983)*a^(3) - (30873875492718)/(9543570494983)*a^(2) + (23212560848461)/(9543570494983)*a + (1588503553527)/(1363367213569) , (156467424928)/(1363367213569)*a^(15) - (34737824688)/(1363367213569)*a^(14) - (1148938640608)/(1363367213569)*a^(13) - (2314280322783)/(1363367213569)*a^(12) + (447707604796)/(1363367213569)*a^(11) + (12615697500370)/(1363367213569)*a^(10) + (18156076422492)/(1363367213569)*a^(9) + (935289722762)/(1363367213569)*a^(8) - (27422326681668)/(1363367213569)*a^(7) - (28603656828644)/(1363367213569)*a^(6) + (18027154258488)/(1363367213569)*a^(5) + (32563378046911)/(1363367213569)*a^(4) + (5012231592004)/(1363367213569)*a^(3) - (3055152877318)/(1363367213569)*a^(2) - (355647724436)/(1363367213569)*a + (545078457467)/(1363367213569) , (191825900156)/(9543570494983)*a^(15) - (667432136006)/(9543570494983)*a^(14) - (142447186751)/(1363367213569)*a^(13) + (1359609793259)/(9543570494983)*a^(12) + (8369362675634)/(9543570494983)*a^(11) + (11251272173427)/(9543570494983)*a^(10) - (24960493622875)/(9543570494983)*a^(9) - (7732046286089)/(1363367213569)*a^(8) - (3711758866456)/(1363367213569)*a^(7) + (67619878551283)/(9543570494983)*a^(6) + (100786782169229)/(9543570494983)*a^(5) - (37900876849421)/(9543570494983)*a^(4) - (84334236567186)/(9543570494983)*a^(3) - (6391371278576)/(9543570494983)*a^(2) + (9255484022107)/(9543570494983)*a - (2983467772376)/(1363367213569) , (206017210248)/(9543570494983)*a^(15) + (495231116682)/(9543570494983)*a^(14) - (2222324179220)/(9543570494983)*a^(13) - (6236967632661)/(9543570494983)*a^(12) - (3685569435110)/(9543570494983)*a^(11) + (22916986251317)/(9543570494983)*a^(10) + (58530950206461)/(9543570494983)*a^(9) + (21162421932258)/(9543570494983)*a^(8) - (56261806189230)/(9543570494983)*a^(7) - (88504301219718)/(9543570494983)*a^(6) + (24748443130237)/(9543570494983)*a^(5) + (128640588810154)/(9543570494983)*a^(4) - (5600895956699)/(9543570494983)*a^(3) - (46802735883977)/(9543570494983)*a^(2) + (16650904958194)/(9543570494983)*a + (248033448345)/(1363367213569) , (182244258687)/(9543570494983)*a^(15) - (1980708992292)/(9543570494983)*a^(14) + (1328330337876)/(9543570494983)*a^(13) + (8950378306610)/(9543570494983)*a^(12) + (15467976506037)/(9543570494983)*a^(11) - (11661749279279)/(9543570494983)*a^(10) - (109577170896448)/(9543570494983)*a^(9) - (68491161197266)/(9543570494983)*a^(8) + (73706637061858)/(9543570494983)*a^(7) + (215788047768557)/(9543570494983)*a^(6) + (58402718157201)/(9543570494983)*a^(5) - (296684500104204)/(9543570494983)*a^(4) - (37476623393508)/(9543570494983)*a^(3) + (106433773025726)/(9543570494983)*a^(2) - (49321182634338)/(9543570494983)*a - (727279389524)/(1363367213569) , (1594635705990)/(9543570494983)*a^(15) - (538830773578)/(9543570494983)*a^(14) - (12639707294187)/(9543570494983)*a^(13) - (21151589313340)/(9543570494983)*a^(12) + (13650542530402)/(9543570494983)*a^(11) + (19476649150840)/(1363367213569)*a^(10) + (158881077662803)/(9543570494983)*a^(9) - (80145559322758)/(9543570494983)*a^(8) - (327092331295794)/(9543570494983)*a^(7) - (210910617655781)/(9543570494983)*a^(6) + (337003539170507)/(9543570494983)*a^(5) + (345399077605098)/(9543570494983)*a^(4) - (165402127491589)/(9543570494983)*a^(3) - (61397959298894)/(9543570494983)*a^(2) + (9264582395929)/(1363367213569)*a - (3933103771601)/(1363367213569) , (345192621990)/(9543570494983)*a^(15) - (241530560527)/(9543570494983)*a^(14) - (386012855636)/(1363367213569)*a^(13) - (3450256397226)/(9543570494983)*a^(12) + (4623800728112)/(9543570494983)*a^(11) + (27699727987593)/(9543570494983)*a^(10) + (21843574653918)/(9543570494983)*a^(9) - (4397660801192)/(1363367213569)*a^(8) - (8210725273665)/(1363367213569)*a^(7) - (6257844121369)/(9543570494983)*a^(6) + (101427107326103)/(9543570494983)*a^(5) + (49269028813514)/(9543570494983)*a^(4) - (73172217469272)/(9543570494983)*a^(3) - (1827773965057)/(9543570494983)*a^(2) + (24219261861154)/(9543570494983)*a - (1381502493491)/(1363367213569) , (5324707257655)/(9543570494983)*a^(15) - (2398137529070)/(9543570494983)*a^(14) - (38519093952015)/(9543570494983)*a^(13) - (70680278404818)/(9543570494983)*a^(12) + (32720114697483)/(9543570494983)*a^(11) + (424045624102787)/(9543570494983)*a^(10) + (524616400750520)/(9543570494983)*a^(9) - (96984947728167)/(9543570494983)*a^(8) - (942029722267926)/(9543570494983)*a^(7) - (107606855314441)/(1363367213569)*a^(6) + (114699452371094)/(1363367213569)*a^(5) + (138228412930787)/(1363367213569)*a^(4) - (111110171851202)/(9543570494983)*a^(3) - (135588559501452)/(9543570494983)*a^(2) + (112037400470939)/(9543570494983)*a + (7492208856333)/(1363367213569) , (1773187391656)/(9543570494983)*a^(15) - (2136510791715)/(9543570494983)*a^(14) - (1628658232202)/(1363367213569)*a^(13) - (14552437112027)/(9543570494983)*a^(12) + (22918030512512)/(9543570494983)*a^(11) + (124418450861081)/(9543570494983)*a^(10) + (76784643192895)/(9543570494983)*a^(9) - (14496210363040)/(1363367213569)*a^(8) - (33467070564528)/(1363367213569)*a^(7) - (54736033083548)/(9543570494983)*a^(6) + (328312892492930)/(9543570494983)*a^(5) + (60343962903331)/(9543570494983)*a^(4) - (123244524665588)/(9543570494983)*a^(3) + (63298119887719)/(9543570494983)*a^(2) + (9329613584341)/(9543570494983)*a - (224931517334)/(1363367213569) ], 105185.283174, [[x^2 - 2, 1], [x^4 - 2*x^2 - 4*x - 2, 1], [x^4 - 8*x^2 + 14, 1], [x^4 - 2, 1], [x^8 - 4*x^6 + 4*x^4 - 4*x^2 + 1, 1]]]