/* 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 - 9*x^14 + 135*x^12 - 90*x^10 + 663*x^8 - 270*x^6 + 1150*x^4 + 108*x^2 + 81, 16, 2, [0, 8], 596430979135513600000000, [2, 5, 13], [1, a, a^2, a^3, a^4, 1/3*a^5 + 1/3*a, 1/3*a^6 + 1/3*a^2, 1/3*a^7 + 1/3*a^3, 1/3*a^8 + 1/3*a^4, 1/3*a^9 - 1/3*a, 1/9*a^10 - 1/9*a^6 - 2/9*a^2, 1/27*a^11 - 1/9*a^9 + 2/27*a^7 - 1/9*a^5 + 10/27*a^3, 1/27*a^12 + 2/27*a^8 + 1/9*a^6 + 10/27*a^4 + 1/9*a^2, 1/27*a^13 + 2/27*a^9 + 1/9*a^7 + 1/27*a^5 + 1/9*a^3 - 1/3*a, 1/3922918479*a^14 - 2456099/3922918479*a^12 - 31374718/3922918479*a^10 + 371689871/3922918479*a^8 + 618090241/3922918479*a^6 + 502427488/3922918479*a^4 + 67067113/1307639493*a^2 + 37341311/145293277, 1/3922918479*a^15 - 2456099/3922918479*a^13 - 31374718/3922918479*a^11 + 371689871/3922918479*a^9 + 618090241/3922918479*a^7 + 502427488/3922918479*a^5 + 67067113/1307639493*a^3 + 37341311/145293277*a], 1, 4, [4], 1, [ (1031923)/(1307639493)*a^(14) - (1013821)/(145293277)*a^(12) + (14917509)/(145293277)*a^(10) - (4044673)/(145293277)*a^(8) + (59095730)/(435879831)*a^(6) + (39202953)/(145293277)*a^(4) + (51218620)/(1307639493)*a^(2) + (92447095)/(145293277) , (1931224)/(435879831)*a^(15) + (3419570)/(1307639493)*a^(14) - (151834829)/(3922918479)*a^(13) - (83154781)/(3922918479)*a^(12) + (2311024903)/(3922918479)*a^(11) + (434224019)/(1307639493)*a^(10) - (1005828079)/(3922918479)*a^(9) + (287184589)/(3922918479)*a^(8) + (11947113512)/(3922918479)*a^(7) + (230622028)/(145293277)*a^(6) - (2990121713)/(3922918479)*a^(5) + (106663922)/(3922918479)*a^(4) + (18645921208)/(3922918479)*a^(3) + (305431571)/(145293277)*a^(2) + (37451228)/(435879831)*a - (35371925)/(145293277) , (1738010)/(3922918479)*a^(15) - (3556972)/(1307639493)*a^(14) - (904970)/(435879831)*a^(13) + (98345039)/(3922918479)*a^(12) + (5761968)/(145293277)*a^(11) - (482043250)/(1307639493)*a^(10) + (34850052)/(145293277)*a^(9) + (1148432194)/(3922918479)*a^(8) - (302772398)/(1307639493)*a^(7) - (199337060)/(145293277)*a^(6) + (110245882)/(145293277)*a^(5) + (5151090308)/(3922918479)*a^(4) - (5261633581)/(3922918479)*a^(3) - (281887138)/(145293277)*a^(2) + (494055358)/(435879831)*a - (52598038)/(145293277) , (1031923)/(1307639493)*a^(15) - (3419570)/(1307639493)*a^(14) - (1013821)/(145293277)*a^(13) + (83154781)/(3922918479)*a^(12) + (14917509)/(145293277)*a^(11) - (434224019)/(1307639493)*a^(10) - (4044673)/(145293277)*a^(9) - (287184589)/(3922918479)*a^(8) + (59095730)/(435879831)*a^(7) - (230622028)/(145293277)*a^(6) + (39202953)/(145293277)*a^(5) - (106663922)/(3922918479)*a^(4) + (51218620)/(1307639493)*a^(3) - (305431571)/(145293277)*a^(2) + (237740372)/(145293277)*a - (109921352)/(145293277) , (3238703)/(3922918479)*a^(14) - (19623467)/(1307639493)*a^(12) + (656411290)/(3922918479)*a^(10) - (1278239339)/(1307639493)*a^(8) - (1840576726)/(3922918479)*a^(6) - (482486217)/(145293277)*a^(4) - (173018284)/(435879831)*a^(2) - (58430303)/(145293277) , (1283305)/(435879831)*a^(15) + (5328737)/(3922918479)*a^(14) - (112449998)/(3922918479)*a^(13) - (3613120)/(435879831)*a^(12) + (1611020480)/(3922918479)*a^(11) + (626706349)/(3922918479)*a^(10) - (2014940845)/(3922918479)*a^(9) + (404761658)/(1307639493)*a^(8) + (5531010331)/(3922918479)*a^(7) + (8107767782)/(3922918479)*a^(6) - (13162398038)/(3922918479)*a^(5) + (2852647028)/(1307639493)*a^(4) + (2615010893)/(3922918479)*a^(3) + (2340633994)/(435879831)*a^(2) - (567579856)/(145293277)*a + (267423721)/(145293277) , (926612)/(3922918479)*a^(15) - (26865040)/(1307639493)*a^(14) + (7694780)/(1307639493)*a^(13) + (725412587)/(3922918479)*a^(12) - (167813932)/(3922918479)*a^(11) - (1212449762)/(435879831)*a^(10) + (1438756037)/(1307639493)*a^(9) + (7521523282)/(3922918479)*a^(8) - (4204198517)/(3922918479)*a^(7) - (19097630818)/(1307639493)*a^(6) + (1133138443)/(145293277)*a^(5) + (20263312895)/(3922918479)*a^(4) - (22338399449)/(3922918479)*a^(3) - (29369048117)/(1307639493)*a^(2) + (6947035520)/(435879831)*a - (959593900)/(145293277) ], 213280.05844, [[x^2 + 1, 1], [x^2 + 65, 1], [x^2 - x - 16, 1], [x^2 - x - 3, 1], [x^2 + 13, 1], [x^2 + 5, 1], [x^2 - x - 1, 1], [x^4 + 33*x^2 + 256, 1], [x^4 + 7*x^2 + 9, 1], [x^4 + 3*x^2 + 1, 1], [x^4 - 2*x^3 + 5*x^2 - 4*x + 69, 1], [x^4 - 2*x^3 + 25*x^2 - 24*x + 209, 1], [x^4 - 9*x^2 + 4, 1], [x^4 + 9*x^2 + 4, 1], [x^4 - x^3 + 2*x^2 + 4*x + 3, 1], [x^4 - 13*x^2 + 13, 1], [x^4 - 65*x^2 + 325, 1], [x^4 - x^3 + 15*x^2 + 17*x + 29, 1], [x^8 - 4*x^7 + 14*x^5 + 33*x^4 - 94*x^3 - 138*x^2 + 188*x + 404, 1], [x^8 - 3*x^6 + 18*x^4 + 4*x^2 + 9, 1], [x^8 - 29*x^6 + 317*x^4 - 581*x^2 + 841, 1], [x^8 - 2*x^7 + 25*x^6 - 26*x^5 + 187*x^4 - 260*x^3 + 363*x^2 - 756*x + 729, 1], [x^8 - 8*x^6 + 50*x^4 - 71*x^2 + 289, 1], [x^8 - x^7 + 5*x^6 + 18*x^5 + 37*x^4 + 20*x^3 + 2*x^2 - 12*x + 9, 1], [x^8 - 4*x^7 - 24*x^6 + 86*x^5 + 125*x^4 - 398*x^3 - 206*x^2 + 420*x - 116, 1]]]