/* 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 + 7*x^14 - 12*x^13 + 17*x^12 - 18*x^11 + 13*x^10 + 3*x^9 - 29*x^8 + 45*x^7 - 34*x^6 + 3*x^5 + 23*x^4 - 27*x^3 + 17*x^2 - 6*x + 1, 16, 211, [0, 8], 6158959248447369, [3, 7, 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, 1/258287*a^15 + 30004/258287*a^14 - 58447/258287*a^13 - 50411/258287*a^12 + 104099/258287*a^11 - 24303/258287*a^10 - 115907/258287*a^9 + 71396/258287*a^8 - 110922/258287*a^7 + 108160/258287*a^6 - 77356/258287*a^5 + 3780/258287*a^4 + 38490/258287*a^3 - 90061/258287*a^2 - 3529/258287*a + 2961/258287], 0, 1, [], 0, [ (742714)/(258287)*a^(15) - (2161226)/(258287)*a^(14) + (4765237)/(258287)*a^(13) - (7937118)/(258287)*a^(12) + (10743873)/(258287)*a^(11) - (10639401)/(258287)*a^(10) + (6471242)/(258287)*a^(9) + (4620236)/(258287)*a^(8) - (21796896)/(258287)*a^(7) + (29226505)/(258287)*a^(6) - (16812559)/(258287)*a^(5) - (5028223)/(258287)*a^(4) + (17936790)/(258287)*a^(3) - (15445236)/(258287)*a^(2) + (7032519)/(258287)*a - (1687373)/(258287) , (511103)/(258287)*a^(15) - (914500)/(258287)*a^(14) + (2070527)/(258287)*a^(13) - (2893092)/(258287)*a^(12) + (3613224)/(258287)*a^(11) - (2638962)/(258287)*a^(10) + (807473)/(258287)*a^(9) + (4313307)/(258287)*a^(8) - (9935094)/(258287)*a^(7) + (7482480)/(258287)*a^(6) - (634291)/(258287)*a^(5) - (4408299)/(258287)*a^(4) + (5349142)/(258287)*a^(3) - (2929022)/(258287)*a^(2) + (1485356)/(258287)*a - (185837)/(258287) , (51764)/(258287)*a^(15) + (47325)/(258287)*a^(14) - (134877)/(258287)*a^(13) + (515131)/(258287)*a^(12) - (835906)/(258287)*a^(11) + (1386920)/(258287)*a^(10) - (1352660)/(258287)*a^(9) + (1205296)/(258287)*a^(8) + (211889)/(258287)*a^(7) - (2934216)/(258287)*a^(6) + (4358256)/(258287)*a^(5) - (2438209)/(258287)*a^(4) - (1320993)/(258287)*a^(3) + (3003903)/(258287)*a^(2) - (1874256)/(258287)*a + (625587)/(258287) , (198149)/(258287)*a^(15) - (762431)/(258287)*a^(14) + (1665912)/(258287)*a^(13) - (2997245)/(258287)*a^(12) + (4187236)/(258287)*a^(11) - (4503198)/(258287)*a^(10) + (3123341)/(258287)*a^(9) + (667014)/(258287)*a^(8) - (7383149)/(258287)*a^(7) + (12054930)/(258287)*a^(6) - (8495500)/(258287)*a^(5) - (29080)/(258287)*a^(4) + (6771936)/(258287)*a^(3) - (7163721)/(258287)*a^(2) + (3531106)/(258287)*a - (883736)/(258287) , (151638)/(258287)*a^(15) - (237240)/(258287)*a^(14) + (590506)/(258287)*a^(13) - (736027)/(258287)*a^(12) + (929018)/(258287)*a^(11) - (535972)/(258287)*a^(10) + (8110)/(258287)*a^(9) + (1538478)/(258287)*a^(8) - (2923666)/(258287)*a^(7) + (2007876)/(258287)*a^(6) - (5023)/(258287)*a^(5) - (1755222)/(258287)*a^(4) + (2101577)/(258287)*a^(3) - (777941)/(258287)*a^(2) + (40162)/(258287)*a + (355599)/(258287) , (624254)/(258287)*a^(15) - (1631085)/(258287)*a^(14) + (3722387)/(258287)*a^(13) - (6037489)/(258287)*a^(12) + (8247991)/(258287)*a^(11) - (7990053)/(258287)*a^(10) + (4986107)/(258287)*a^(9) + (3883030)/(258287)*a^(8) - (16645587)/(258287)*a^(7) + (21687504)/(258287)*a^(6) - (12852680)/(258287)*a^(5) - (2871069)/(258287)*a^(4) + (13044348)/(258287)*a^(3) - (12005980)/(258287)*a^(2) + (6136345)/(258287)*a - (1435400)/(258287) , (744774)/(258287)*a^(15) - (1825292)/(258287)*a^(14) + (3951298)/(258287)*a^(13) - (6144395)/(258287)*a^(12) + (7968446)/(258287)*a^(11) - (6979885)/(258287)*a^(10) + (3260566)/(258287)*a^(9) + (6280415)/(258287)*a^(8) - (19129351)/(258287)*a^(7) + (20869240)/(258287)*a^(6) - (7504508)/(258287)*a^(5) - (8347764)/(258287)*a^(4) + (14316063)/(258287)*a^(3) - (9063655)/(258287)*a^(2) + (3120510)/(258287)*a - (495166)/(258287) ], 33.0234170129, [[x^2 - x + 1, 1], [x^4 - x^3 - x^2 + x + 1, 1], [x^4 - x^3 + 2*x + 1, 1], [x^4 - x^3 + 9*x^2 - 4*x + 16, 1], [x^8 - 2*x^6 - 3*x^5 + 3*x^4 + 3*x^3 - 2*x^2 + 1, 1], [x^8 - 3*x^7 - x^6 + 11*x^5 - 6*x^4 - 10*x^3 + 9*x^2 - x + 1, 1], [x^8 - x^7 + 5*x^6 - x^5 + 4*x^4 + x^3 + 5*x^2 + x + 1, 1]]]