/* 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 - x^13 + 24*x^12 - 20*x^11 - 4*x^10 - 73*x^9 + 105*x^8 + 49*x^7 - 111*x^6 + 10*x^5 + 59*x^4 - 22*x^3 + 5*x^2 - 4*x + 1, 16, 9, [0, 8], 549378366500390625, [3, 5, 11], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/3*a^10 + 1/3*a^8 + 1/3*a^7 - 1/3*a^4 + 1/3*a + 1/3, 1/6*a^11 - 1/6*a^10 + 1/6*a^9 - 1/2*a^8 + 1/3*a^7 - 1/2*a^6 + 1/3*a^5 + 1/6*a^4 - 1/2*a^3 - 1/3*a^2 - 1/6, 1/30*a^12 + 1/3*a^9 + 1/6*a^8 + 1/6*a^7 + 11/30*a^6 - 1/2*a^5 + 1/3*a^4 - 1/6*a^3 + 1/3*a^2 + 1/6*a - 1/30, 1/90*a^13 + 1/18*a^11 - 1/6*a^10 + 1/9*a^9 - 1/3*a^8 + 1/90*a^7 - 1/9*a^5 - 1/9*a^4 - 7/18*a^3 - 7/18*a^2 - 7/30*a + 1/18, 1/180*a^14 - 1/180*a^13 - 1/180*a^12 + 1/18*a^11 - 1/36*a^10 + 1/9*a^9 - 89/180*a^8 - 61/180*a^7 - 19/45*a^6 - 1/6*a^5 + 7/36*a^4 + 1/6*a^3 - 4/45*a^2 - 1/45*a - 29/180, 1/1896120*a^15 + 47/63204*a^14 - 913/189612*a^13 - 3127/210680*a^12 + 31565/379224*a^11 + 7151/126408*a^10 - 861539/1896120*a^9 - 7403/15801*a^8 - 151703/379224*a^7 + 8477/41220*a^6 - 72325/379224*a^5 - 183967/379224*a^4 - 6134/79005*a^3 - 7507/189612*a^2 - 16309/42136*a - 266419/632040], 0, 1, [], 0, [ (1662569)/(1896120)*a^(15) - (750259)/(316020)*a^(14) - (628399)/(948060)*a^(13) - (741041)/(632040)*a^(12) + (7851337)/(379224)*a^(11) - (484443)/(42136)*a^(10) - (11491951)/(1896120)*a^(9) - (1750437)/(26335)*a^(8) + (137315617)/(1896120)*a^(7) + (2541787)/(41220)*a^(6) - (28766765)/(379224)*a^(5) - (4447439)/(379224)*a^(4) + (2364151)/(52670)*a^(3) - (4924723)/(948060)*a^(2) + (2799301)/(632040)*a - (609953)/(210680) , (6631)/(189612)*a^(15) - (59279)/(948060)*a^(14) - (68597)/(948060)*a^(13) - (38314)/(237015)*a^(12) + (132151)/(189612)*a^(11) + (22435)/(94806)*a^(10) + (49645)/(189612)*a^(9) - (2760809)/(948060)*a^(8) - (29963)/(237015)*a^(7) + (2228)/(1145)*a^(6) + (161327)/(189612)*a^(5) + (45169)/(31602)*a^(4) - (43015)/(47403)*a^(3) + (45437)/(474030)*a^(2) + (1952057)/(948060)*a + (2753)/(79005) , (68881)/(632040)*a^(15) - (3982)/(15801)*a^(14) - (13727)/(94806)*a^(13) - (69771)/(210680)*a^(12) + (939419)/(379224)*a^(11) - (58097)/(126408)*a^(10) + (22163)/(1896120)*a^(9) - (591359)/(63204)*a^(8) + (1969177)/(379224)*a^(7) + (96217)/(13740)*a^(6) - (532087)/(379224)*a^(5) - (319843)/(379224)*a^(4) - (28496)/(237015)*a^(3) - (559)/(189612)*a^(2) + (149409)/(42136)*a - (16361)/(1896120) , (179947)/(316020)*a^(15) - (1438387)/(948060)*a^(14) - (88553)/(189612)*a^(13) - (188168)/(237015)*a^(12) + (2515973)/(189612)*a^(11) - (335030)/(47403)*a^(10) - (3596389)/(948060)*a^(9) - (40194427)/(948060)*a^(8) + (2142046)/(47403)*a^(7) + (819943)/(20610)*a^(6) - (9483809)/(189612)*a^(5) - (33197)/(5267)*a^(4) + (14723087)/(474030)*a^(3) - (1741529)/(474030)*a^(2) + (568853)/(189612)*a - (203012)/(237015) , (14652)/(26335)*a^(15) - (85247)/(52670)*a^(14) - (14231)/(158010)*a^(13) - (18874)/(26335)*a^(12) + (418355)/(31602)*a^(11) - (52607)/(5267)*a^(10) - (96081)/(52670)*a^(9) - (6555301)/(158010)*a^(8) + (4281272)/(79005)*a^(7) + (32257)/(1145)*a^(6) - (576705)/(10534)*a^(5) + (76988)/(15801)*a^(4) + (2142839)/(79005)*a^(3) - (265579)/(26335)*a^(2) + (919391)/(158010)*a - (294511)/(158010) , (903451)/(1896120)*a^(15) - (294974)/(237015)*a^(14) - (278119)/(474030)*a^(13) - (737879)/(1896120)*a^(12) + (4273499)/(379224)*a^(11) - (1910699)/(379224)*a^(10) - (12071789)/(1896120)*a^(9) - (33278951)/(948060)*a^(8) + (69447809)/(1896120)*a^(7) + (207469)/(4580)*a^(6) - (17578307)/(379224)*a^(5) - (2212985)/(126408)*a^(4) + (15208361)/(474030)*a^(3) - (96359)/(948060)*a^(2) - (5918039)/(1896120)*a - (19349)/(210680) , (39989)/(52670)*a^(15) - (333323)/(158010)*a^(14) - (11366)/(26335)*a^(13) - (52673)/(52670)*a^(12) + (95023)/(5267)*a^(11) - (351917)/(31602)*a^(10) - (696803)/(158010)*a^(9) - (4558504)/(79005)*a^(8) + (1749464)/(26335)*a^(7) + (334337)/(6870)*a^(6) - (1061179)/(15801)*a^(5) - (84944)/(15801)*a^(4) + (3044449)/(79005)*a^(3) - (1412087)/(158010)*a^(2) + (834461)/(158010)*a - (52481)/(26335) ], 535.532332979, [[x^2 - x + 14, 1], [x^2 - x + 1, 1], [x^2 - x - 41, 1], [x^2 - x + 3, 1], [x^2 - x - 1, 1], [x^2 - x - 8, 1], [x^2 - x + 4, 1], [x^4 - x^3 - 13*x^2 - 14*x + 196, 1], [x^4 + 3*x^2 + 16, 1], [x^4 - x^3 + 5*x^2 - 23*x + 34, 1], [x^4 - x^3 - 2*x^2 - 3*x + 9, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 + 13*x^2 + 1, 1], [x^4 - 19*x^2 + 49, 1], [x^4 - x^3 + x^2 + x + 1, 2], [x^4 - x^3 + 4*x^2 - 6*x + 3, 2], [x^4 - x^3 + 2*x - 1, 2], [x^4 - x^3 - x^2 - 5*x - 5, 2], [x^8 - 3*x^6 - 7*x^4 - 48*x^2 + 256, 1], [x^8 - 3*x^7 + 9*x^6 - 13*x^5 + 18*x^4 - 11*x^3 + 11*x^2 - 4*x + 1, 1], [x^8 - 3*x^7 + 4*x^6 - 14*x^5 + 29*x^4 - 28*x^3 + 36*x^2 - 55*x + 55, 1], [x^8 - x^7 - 3*x^5 + x^4 + 3*x^3 + x + 1, 2], [x^8 - x^7 + x^6 - 4*x^5 + 3*x^4 - 2*x^3 + 4*x^2 - 2*x + 1, 2], [x^8 - 4*x^7 + 10*x^6 - 16*x^5 + 32*x^4 - 42*x^3 + 49*x^2 - 30*x + 15, 2], [x^8 - 2*x^7 - 5*x^6 + x^5 + 24*x^4 + 5*x^3 - 65*x^2 - 25*x + 25, 2]]]