/* 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 + 21*x^14 + 210*x^12 + 1104*x^10 + 3329*x^8 + 5124*x^6 + 4320*x^4 + 1536*x^2 + 256, 16, 2, [0, 8], 605165749776000000000000, [2, 3, 5, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/2*a^9 - 1/2*a^7 - 1/2*a, 1/4*a^10 + 1/4*a^8 - 1/2*a^6 + 1/4*a^2, 1/8*a^11 + 1/8*a^9 - 1/4*a^7 + 1/8*a^3, 1/16*a^12 + 1/16*a^10 - 1/8*a^8 - 1/2*a^6 + 1/16*a^4, 1/32*a^13 + 1/32*a^11 - 1/16*a^9 - 1/4*a^7 + 1/32*a^5 - 1/2*a^3, 1/12058248256*a^14 + 368923857/12058248256*a^12 + 621653215/6029124128*a^10 + 627032649/1507281032*a^8 - 4746983423/12058248256*a^6 - 22016030/188410129*a^4 - 374349579/753640516*a^2 + 86211877/188410129, 1/24116496512*a^15 + 368923857/24116496512*a^13 + 621653215/12058248256*a^11 + 627032649/3014562064*a^9 - 4746983423/24116496512*a^7 + 166394099/376820258*a^5 - 374349579/1507281032*a^3 + 86211877/376820258*a], 1, 32, [4, 8], 1, [ (26469)/(10141504)*a^(14) + (537853)/(10141504)*a^(12) + (2584575)/(5070752)*a^(10) + (3156195)/(1267688)*a^(8) + (66896037)/(10141504)*a^(6) + (9113817)/(1267688)*a^(4) + (1766205)/(633844)*a^(2) - (19642)/(158461) , (64036989)/(24116496512)*a^(15) + (1273459029)/(24116496512)*a^(13) + (6030101247)/(12058248256)*a^(11) + (7242527033)/(3014562064)*a^(9) + (155478384413)/(24116496512)*a^(7) + (23832993713)/(3014562064)*a^(5) + (1257699553)/(188410129)*a^(3) + (224590592)/(188410129)*a , (86479971)/(24116496512)*a^(15) + (1808929163)/(24116496512)*a^(13) + (8994072825)/(12058248256)*a^(11) + (11681290437)/(3014562064)*a^(9) + (274768798627)/(24116496512)*a^(7) + (49159078287)/(3014562064)*a^(5) + (17336131275)/(1507281032)*a^(3) + (798941087)/(376820258)*a , (86479971)/(24116496512)*a^(15) + (352509)/(188410129)*a^(14) + (1808929163)/(24116496512)*a^(13) + (112801663)/(3014562064)*a^(12) + (8994072825)/(12058248256)*a^(11) + (1072632015)/(3014562064)*a^(10) + (11681290437)/(3014562064)*a^(9) + (2585953825)/(1507281032)*a^(8) + (274768798627)/(24116496512)*a^(7) + (1709907615)/(376820258)*a^(6) + (49159078287)/(3014562064)*a^(5) + (14891467071)/(3014562064)*a^(4) + (17336131275)/(1507281032)*a^(3) + (360607065)/(188410129)*a^(2) + (798941087)/(376820258)*a + (182351)/(188410129) , (160473763)/(24116496512)*a^(15) + (226815)/(376820258)*a^(14) + (3343233631)/(24116496512)*a^(13) + (4493459)/(376820258)*a^(12) + (16554458883)/(12058248256)*a^(11) + (84932625)/(753640516)*a^(10) + (1335976862)/(188410129)*a^(9) + (405377525)/(753640516)*a^(8) + (499789880387)/(24116496512)*a^(7) + (268022505)/(188410129)*a^(6) + (177828201603)/(6029124128)*a^(5) + (291585080)/(188410129)*a^(4) + (31461516631)/(1507281032)*a^(3) + (451808745)/(753640516)*a^(2) + (1448458921)/(376820258)*a - (135818449)/(188410129) , (107882083)/(24116496512)*a^(15) - (352509)/(188410129)*a^(14) + (2267840671)/(24116496512)*a^(13) - (112801663)/(3014562064)*a^(12) + (11319913859)/(12058248256)*a^(11) - (1072632015)/(3014562064)*a^(10) + (1849679869)/(376820258)*a^(9) - (2585953825)/(1507281032)*a^(8) + (350656339267)/(24116496512)*a^(7) - (1709907615)/(376820258)*a^(6) + (127611699843)/(6029124128)*a^(5) - (14891467071)/(3014562064)*a^(4) + (21927124311)/(1507281032)*a^(3) - (360607065)/(188410129)*a^(2) + (507443802)/(188410129)*a - (182351)/(188410129) , (160473763)/(24116496512)*a^(15) + (3343233631)/(24116496512)*a^(13) + (16554458883)/(12058248256)*a^(11) + (1335976862)/(188410129)*a^(9) + (499789880387)/(24116496512)*a^(7) + (177828201603)/(6029124128)*a^(5) + (31461516631)/(1507281032)*a^(3) + (1448458921)/(376820258)*a + 1 ], 3121.7160225, [[x^2 - x + 9, 1], [x^2 - 3, 1], [x^2 + 105, 1], [x^2 - x - 1, 1], [x^2 - x + 2, 1], [x^2 - 15, 1], [x^2 + 21, 1], [x^4 - 2*x^3 + 13*x^2 - 12*x + 141, 1], [x^4 - x^3 + 5*x^2 + 2*x + 4, 1], [x^4 + 3*x^2 + 81, 1], [x^4 - 2*x^3 - 7*x^2 + 8*x + 1, 1], [x^4 - 2*x^3 - x^2 + 2*x + 22, 1], [x^4 - 2*x^3 + 41*x^2 - 40*x + 505, 1], [x^4 - 2*x^3 - 25*x^2 + 26*x + 274, 1], [x^4 - x^3 + 26*x^2 - 26*x + 151, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 + 35*x^2 + 245, 1], [x^4 - 5*x^2 + 5, 1], [x^8 - 10*x^6 + 67*x^4 + 210*x^2 + 441, 1], [x^8 - 2*x^7 - 2*x^5 + 29*x^4 + 2*x^3 + 55*x^2 + 27*x + 151, 1], [x^8 - 4*x^7 + 4*x^6 + 2*x^5 + 29*x^4 - 66*x^3 + 36*x^2 - 2*x + 281, 1], [x^8 + 13*x^6 + 74*x^4 + 272*x^2 + 841, 1], [x^8 - 7*x^6 + 14*x^4 - 8*x^2 + 1, 1], [x^8 + 16*x^6 + 146*x^4 + 761*x^2 + 1681, 1], [x^8 + 49*x^6 + 686*x^4 + 2744*x^2 + 2401, 1]]]