/* 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 - 5*x^15 + 12*x^14 - 19*x^13 + 21*x^12 - 16*x^11 + 6*x^10 + 12*x^9 - 28*x^8 + 21*x^7 + x^6 - 20*x^5 + 28*x^4 - 20*x^3 + 10*x^2 - 4*x + 1, 16, 47, [0, 8], 3345005787800625, [3, 5, 13], [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, 1/4201259*a^15 - 844160/4201259*a^14 + 1138268/4201259*a^13 - 476410/4201259*a^12 - 1634204/4201259*a^11 + 273623/4201259*a^10 + 795002/4201259*a^9 - 1897/4201259*a^8 + 682328/4201259*a^7 + 2016081/4201259*a^6 - 1049503/4201259*a^5 - 1487939/4201259*a^4 + 743343/4201259*a^3 - 867204/4201259*a^2 + 2016916/4201259*a - 107421/4201259], 0, 1, [], 0, [ (796875)/(4201259)*a^(15) - (1213956)/(4201259)*a^(14) - (2908118)/(4201259)*a^(13) + (11752044)/(4201259)*a^(12) - (21469083)/(4201259)*a^(11) + (23193579)/(4201259)*a^(10) - (15833414)/(4201259)*a^(9) + (9183883)/(4201259)*a^(8) + (15788997)/(4201259)*a^(7) - (43108574)/(4201259)*a^(6) + (26127264)/(4201259)*a^(5) + (7333168)/(4201259)*a^(4) - (30267134)/(4201259)*a^(3) + (32911705)/(4201259)*a^(2) - (12108058)/(4201259)*a + (3744009)/(4201259) , (1962229)/(4201259)*a^(15) - (9047969)/(4201259)*a^(14) + (18754684)/(4201259)*a^(13) - (24384095)/(4201259)*a^(12) + (20878732)/(4201259)*a^(11) - (9914533)/(4201259)*a^(10) - (1902350)/(4201259)*a^(9) + (25174615)/(4201259)*a^(8) - (40649152)/(4201259)*a^(7) + (6299933)/(4201259)*a^(6) + (28920728)/(4201259)*a^(5) - (28919017)/(4201259)*a^(4) + (24494445)/(4201259)*a^(3) - (8502428)/(4201259)*a^(2) + (2068879)/(4201259)*a - (3236120)/(4201259) , (3231593)/(4201259)*a^(15) - (11650482)/(4201259)*a^(14) + (19187251)/(4201259)*a^(13) - (20263098)/(4201259)*a^(12) + (9588762)/(4201259)*a^(11) + (3390968)/(4201259)*a^(10) - (14200458)/(4201259)*a^(9) + (41317550)/(4201259)*a^(8) - (32800164)/(4201259)*a^(7) - (20568620)/(4201259)*a^(6) + (38421018)/(4201259)*a^(5) - (34519996)/(4201259)*a^(4) + (15573192)/(4201259)*a^(3) + (12043755)/(4201259)*a^(2) - (2591707)/(4201259)*a + (4878258)/(4201259) , (4648396)/(4201259)*a^(15) - (18262619)/(4201259)*a^(14) + (33827233)/(4201259)*a^(13) - (41914424)/(4201259)*a^(12) + (32910217)/(4201259)*a^(11) - (14701024)/(4201259)*a^(10) - (6318493)/(4201259)*a^(9) + (55051796)/(4201259)*a^(8) - (64352529)/(4201259)*a^(7) - (3934792)/(4201259)*a^(6) + (42617461)/(4201259)*a^(5) - (47419252)/(4201259)*a^(4) + (43968314)/(4201259)*a^(3) - (12198061)/(4201259)*a^(2) + (8116329)/(4201259)*a - (3110789)/(4201259) , (173680)/(4201259)*a^(15) - (2373477)/(4201259)*a^(14) + (8345254)/(4201259)*a^(13) - (15897831)/(4201259)*a^(12) + (21111097)/(4201259)*a^(11) - (18604204)/(4201259)*a^(10) + (9972843)/(4201259)*a^(9) + (2428501)/(4201259)*a^(8) - (23393127)/(4201259)*a^(7) + (28425538)/(4201259)*a^(6) - (6059325)/(4201259)*a^(5) - (14206948)/(4201259)*a^(4) + (28531983)/(4201259)*a^(3) - (26063124)/(4201259)*a^(2) + (5397978)/(4201259)*a - (3289320)/(4201259) , (1440473)/(4201259)*a^(15) - (6691533)/(4201259)*a^(14) + (14769575)/(4201259)*a^(13) - (22096870)/(4201259)*a^(12) + (22704388)/(4201259)*a^(11) - (15575701)/(4201259)*a^(10) + (3938985)/(4201259)*a^(9) + (19247364)/(4201259)*a^(8) - (34689460)/(4201259)*a^(7) + (19371376)/(4201259)*a^(6) + (4504900)/(4201259)*a^(5) - (25864966)/(4201259)*a^(4) + (32652499)/(4201259)*a^(3) - (19407763)/(4201259)*a^(2) + (12203739)/(4201259)*a - (479904)/(4201259) , (1130760)/(4201259)*a^(15) - (3713023)/(4201259)*a^(14) + (6015181)/(4201259)*a^(13) - (7338843)/(4201259)*a^(12) + (6048556)/(4201259)*a^(11) - (3976834)/(4201259)*a^(10) + (469513)/(4201259)*a^(9) + (10194147)/(4201259)*a^(8) - (7804811)/(4201259)*a^(7) - (4413315)/(4201259)*a^(6) + (2019968)/(4201259)*a^(5) - (6906874)/(4201259)*a^(4) + (13447586)/(4201259)*a^(3) - (4738145)/(4201259)*a^(2) + (7091787)/(4201259)*a - (569752)/(4201259) ], 22.9306095521, [[x^2 - x + 1, 1], [x^2 - x - 3, 1], [x^2 - x + 10, 1], [x^4 - x^3 - x^2 + x + 1, 2], [x^4 - x^3 - x^2 - x + 1, 2], [x^4 - x^3 + 4*x^2 + 3*x + 9, 1], [x^8 - x^7 + 2*x^6 + 3*x^5 - x^4 + 3*x^3 + 2*x^2 - x + 1, 1]]]