/* 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 + 6*x^14 - 12*x^13 + 42*x^12 + 69*x^11 + 147*x^10 + 168*x^9 + 456*x^8 + 168*x^7 + 147*x^6 + 69*x^5 + 42*x^4 - 12*x^3 + 6*x^2 - x + 1, 16, 10, [0, 8], 122130471914306640625, [5, 29], [1, a, a^2, a^3, a^4, 1/6*a^5 - 1/6, 1/6*a^6 - 1/6*a, 1/6*a^7 - 1/6*a^2, 1/6*a^8 - 1/6*a^3, 1/6*a^9 - 1/6*a^4, 1/72*a^10 + 1/18*a^5 + 31/72, 1/72*a^11 + 1/18*a^6 + 31/72*a, 1/360*a^12 + 1/15*a^9 - 1/18*a^7 - 1/15*a^6 + 1/3*a^4 + 2/5*a^3 + 11/72*a^2 - 1/3*a - 2/5, 1/360*a^13 - 1/360*a^10 - 1/18*a^8 - 1/15*a^7 + 1/18*a^5 + 2/5*a^4 + 11/72*a^3 - 1/3*a^2 - 2/5*a - 11/72, 1/360*a^14 - 1/360*a^11 - 1/18*a^9 - 1/15*a^8 + 1/18*a^6 + 1/15*a^5 + 11/72*a^4 - 1/3*a^3 - 2/5*a^2 - 11/72*a + 1/3, 1/10800*a^15 - 1/900*a^14 - 1/900*a^13 + 7/1800*a^11 + 19/3600*a^10 + 1/45*a^9 + 11/225*a^8 + 3/50*a^7 - 2/45*a^6 + 1/400*a^5 - 19/900*a^4 - 23/180*a^3 + 23/50*a^2 - 107/1800*a + 2291/10800], 1, 2, [2], 0, [ (7)/(48)*a^(15) - (7)/(40)*a^(14) + (7)/(8)*a^(13) - (341)/(180)*a^(12) + (63)/(10)*a^(11) + (147)/(16)*a^(10) + (91)/(5)*a^(9) + (91)/(5)*a^(8) + (518)/(9)*a^(7) + (63)/(10)*a^(6) + (259)/(80)*a^(5) + (7)/(8)*a^(4) - (7)/(40)*a^(3) - (1379)/(180)*a^(2) - (233)/(240) , (1399)/(10800)*a^(15) - (263)/(1800)*a^(14) + (1417)/(1800)*a^(13) - (149)/(90)*a^(12) + (3361)/(600)*a^(11) + (29801)/(3600)*a^(10) + (796)/(45)*a^(9) + (4184)/(225)*a^(8) + (24533)/(450)*a^(7) + (34)/(3)*a^(6) + (40471)/(3600)*a^(5) + (1723)/(1800)*a^(4) - (73)/(360)*a^(3) - (896)/(225)*a^(2) + (233)/(200)*a - (5071)/(10800) , (263)/(5400)*a^(15) - (33)/(200)*a^(14) + (823)/(1800)*a^(13) - (59)/(45)*a^(12) + (1117)/(300)*a^(11) - (1201)/(600)*a^(10) + a^(9) - (2183)/(450)*a^(8) + (5227)/(450)*a^(7) - (497)/(15)*a^(6) + (25687)/(1800)*a^(5) + (893)/(200)*a^(4) + (2741)/(360)*a^(3) + (277)/(450)*a^(2) + (401)/(100)*a - (7547)/(5400) , (1513)/(5400)*a^(15) - (17)/(50)*a^(14) + (171)/(100)*a^(13) - (164)/(45)*a^(12) + (11021)/(900)*a^(11) + (15721)/(900)*a^(10) + (211)/(6)*a^(9) + (5719)/(150)*a^(8) + (26111)/(225)*a^(7) + (919)/(45)*a^(6) + (41377)/(1800)*a^(5) + (1768)/(75)*a^(4) + (341)/(60)*a^(3) - (1279)/(225)*a^(2) + (2099)/(900)*a - (311)/(2700) , (4)/(75)*a^(15) - (33)/(200)*a^(14) + (97)/(200)*a^(13) - (241)/(180)*a^(12) + (869)/(225)*a^(11) - (1339)/(900)*a^(10) + 2*a^(9) - (193)/(75)*a^(8) + (6527)/(450)*a^(7) - (1361)/(45)*a^(6) + (3539)/(225)*a^(5) + (1093)/(200)*a^(4) + (157)/(120)*a^(3) + (679)/(900)*a^(2) + (896)/(225)*a - (1237)/(900) , (397)/(10800)*a^(15) - (17)/(900)*a^(14) + (311)/(1800)*a^(13) - (103)/(360)*a^(12) + (997)/(900)*a^(11) + (13633)/(3600)*a^(10) + (451)/(90)*a^(9) + (1762)/(225)*a^(8) + (3482)/(225)*a^(7) + (191)/(18)*a^(6) - (6049)/(1200)*a^(5) + (4867)/(900)*a^(4) - (3119)/(360)*a^(3) + (1351)/(1800)*a^(2) - (1187)/(900)*a + (4937)/(10800) , (1507)/(10800)*a^(15) - (349)/(1800)*a^(14) + (1541)/(1800)*a^(13) - (703)/(360)*a^(12) + (1889)/(300)*a^(11) + (9391)/(1200)*a^(10) + (683)/(45)*a^(9) + (3007)/(225)*a^(8) + (22759)/(450)*a^(7) - (31)/(6)*a^(6) - (8917)/(3600)*a^(5) + (929)/(1800)*a^(4) - (29)/(360)*a^(3) - (15989)/(1800)*a^(2) - (233)/(100)*a - (12403)/(10800) ], 3793.72993285, [[x^2 - x - 7, 1], [x^2 - x - 36, 1], [x^2 - x - 1, 1], [x^4 - 17*x^2 + 36, 1], [x^4 - 2*x^3 + 14*x^2 - 13*x + 6, 2], [x^4 - x^3 + 6*x^2 - x + 11, 2], [x^4 - x^3 - 5*x^2 - x + 1, 2], [x^4 - x^3 - 3*x^2 + x + 1, 2], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 + 36*x^2 - 36*x + 281, 1], [x^8 - x^6 - 4*x^4 - 16*x^2 + 256, 1], [x^8 - 2*x^7 - 12*x^6 + 26*x^5 + 17*x^4 - 36*x^3 - 5*x^2 + 11*x - 1, 1], [x^8 - x^7 + 8*x^6 - 15*x^5 + 71*x^4 + 105*x^3 + 392*x^2 + 343*x + 2401, 1], [x^8 - 3*x^7 + 5*x^6 - 3*x^5 + 4*x^4 + 3*x^3 + 5*x^2 + 3*x + 1, 2], [x^8 + 7*x^6 + 54*x^4 + 128*x^2 + 361, 2]]]