/* 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 - x^15 - x^14 + 8*x^13 + 15*x^12 + 11*x^11 + 36*x^10 + 71*x^9 + 58*x^8 + 7*x^7 - 18*x^6 - 23*x^5 - 18*x^4 - 2*x^3 + 5*x^2 + x + 1, 16, 56, [0, 8], 15426507143923491573, [3, 157], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, 1/3*a^8 - 1/3*a^4 + 1/3, 1/3*a^9 - 1/3*a^5 + 1/3*a, 1/3*a^10 - 1/3*a^6 + 1/3*a^2, 1/3*a^11 - 1/3*a^7 + 1/3*a^3, 1/9*a^12 + 1/9*a^11 - 1/9*a^10 - 1/9*a^9 - 1/9*a^7 + 4/9*a^6 + 1/9*a^5 + 1/3*a^4 + 1/9*a^3 - 4/9*a^2 - 4/9*a + 1/9, 1/9*a^13 + 1/9*a^11 + 1/9*a^9 - 1/9*a^8 + 2/9*a^7 - 1/3*a^6 + 2/9*a^5 - 2/9*a^4 - 2/9*a^3 - 4/9*a - 1/9, 1/27*a^14 + 2/27*a^11 - 4/27*a^10 - 1/27*a^8 - 5/27*a^7 - 5/27*a^6 - 4/9*a^5 + 7/27*a^4 + 2/27*a^3 + 1/9*a^2 + 4/9*a - 4/27, 1/85833*a^15 + 1526/85833*a^14 - 2/28611*a^13 + 383/85833*a^12 + 1033/28611*a^11 - 14063/85833*a^10 - 12736/85833*a^9 - 1858/85833*a^8 - 160/9537*a^7 + 39143/85833*a^6 - 215/85833*a^5 - 2104/7803*a^4 - 28574/85833*a^3 + 818/28611*a^2 - 778/85833*a - 24491/85833], 0, 1, [], 0, [ (1030)/(28611)*a^(15) + (1511)/(9537)*a^(14) - (2060)/(9537)*a^(13) + (3473)/(28611)*a^(12) + (57476)/(28611)*a^(11) + (33454)/(9537)*a^(10) + (109739)/(28611)*a^(9) + (292486)/(28611)*a^(8) + (487780)/(28611)*a^(7) + (137101)/(9537)*a^(6) + (121882)/(28611)*a^(5) - (2510)/(2601)*a^(4) - (30743)/(9537)*a^(3) - (22148)/(9537)*a^(2) - (232)/(28611)*a + (938)/(9537) , (14048)/(28611)*a^(15) - (14644)/(28611)*a^(14) - (5843)/(9537)*a^(13) + (39713)/(9537)*a^(12) + (204982)/(28611)*a^(11) + (116375)/(28611)*a^(10) + (453389)/(28611)*a^(9) + (313130)/(9537)*a^(8) + (621941)/(28611)*a^(7) - (156074)/(28611)*a^(6) - (442151)/(28611)*a^(5) - (10532)/(867)*a^(4) - (23135)/(3179)*a^(3) + (61117)/(28611)*a^(2) + (111323)/(28611)*a + (4534)/(9537) , (1939)/(85833)*a^(15) + (21518)/(85833)*a^(14) - (3412)/(9537)*a^(13) + (8288)/(85833)*a^(12) + (7795)/(3179)*a^(11) + (322384)/(85833)*a^(10) + (339521)/(85833)*a^(9) + (1070468)/(85833)*a^(8) + (572947)/(28611)*a^(7) + (1442918)/(85833)*a^(6) + (641722)/(85833)*a^(5) + (18653)/(7803)*a^(4) - (118997)/(85833)*a^(3) - (19147)/(9537)*a^(2) - (68455)/(85833)*a - (60548)/(85833) , (32990)/(85833)*a^(15) - (22157)/(85833)*a^(14) - (15116)/(28611)*a^(13) + (246607)/(85833)*a^(12) + (66689)/(9537)*a^(11) + (513530)/(85833)*a^(10) + (1203094)/(85833)*a^(9) + (2678776)/(85833)*a^(8) + (895877)/(28611)*a^(7) + (532768)/(85833)*a^(6) - (865189)/(85833)*a^(5) - (68300)/(7803)*a^(4) - (419734)/(85833)*a^(3) - (32501)/(28611)*a^(2) + (159976)/(85833)*a + (16550)/(85833) , (18899)/(85833)*a^(15) - (3887)/(9537)*a^(14) - (6008)/(28611)*a^(13) + (200011)/(85833)*a^(12) + (141160)/(85833)*a^(11) - (51764)/(28611)*a^(10) + (416770)/(85833)*a^(9) + (760673)/(85833)*a^(8) - (498244)/(85833)*a^(7) - (149333)/(9537)*a^(6) - (534595)/(85833)*a^(5) + (18221)/(7803)*a^(4) + (12677)/(28611)*a^(3) + (10565)/(9537)*a^(2) + (117076)/(85833)*a - (9326)/(28611) , (26678)/(85833)*a^(15) - (50510)/(85833)*a^(14) + (1136)/(3179)*a^(13) + (175213)/(85833)*a^(12) + (75919)/(28611)*a^(11) + (194069)/(85833)*a^(10) + (976465)/(85833)*a^(9) + (1159579)/(85833)*a^(8) + (323830)/(28611)*a^(7) + (279712)/(85833)*a^(6) + (53189)/(85833)*a^(5) - (42548)/(7803)*a^(4) - (119206)/(85833)*a^(3) - (7589)/(28611)*a^(2) - (60194)/(85833)*a - (38713)/(85833) , (29917)/(85833)*a^(15) - (23405)/(28611)*a^(14) + (3368)/(9537)*a^(13) + (261773)/(85833)*a^(12) + (92618)/(85833)*a^(11) - (3341)/(3179)*a^(10) + (924401)/(85833)*a^(9) + (857359)/(85833)*a^(8) - (462806)/(85833)*a^(7) - (219598)/(28611)*a^(6) + (81616)/(85833)*a^(5) - (2324)/(7803)*a^(4) - (52771)/(28611)*a^(3) + (95534)/(28611)*a^(2) - (224497)/(85833)*a - (1502)/(28611) ], 3380.64486449, [[x^2 - x + 1, 1], [x^4 - x^3 + 7*x^2 - 3*x + 9, 1], [x^8 - 3*x^7 + 4*x^6 + x^4 + 3*x^3 - 3*x^2 + 9*x + 9, 1]]]