/* 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 - 6*x^15 + 18*x^14 - 45*x^13 + 105*x^12 - 208*x^11 + 345*x^10 - 496*x^9 + 621*x^8 - 645*x^7 + 535*x^6 - 359*x^5 + 208*x^4 - 106*x^3 + 42*x^2 - 10*x + 1, 16, 28, [0, 8], 145220537353515625, [5, 29], [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, 1/3548501*a^15 + 1051588/3548501*a^14 - 574847/3548501*a^13 - 768308/3548501*a^12 - 535660/3548501*a^11 - 696506/3548501*a^10 + 1012690/3548501*a^9 + 1640755/3548501*a^8 - 818145/3548501*a^7 - 1015319/3548501*a^6 + 140858/322591*a^5 + 305639/3548501*a^4 - 887802/3548501*a^3 - 17445/322591*a^2 + 524280/3548501*a - 898060/3548501], 0, 1, [], 0, [ (45514)/(322591)*a^(15) - (205256)/(322591)*a^(14) + (479288)/(322591)*a^(13) - (1196276)/(322591)*a^(12) + (2688904)/(322591)*a^(11) - (4595379)/(322591)*a^(10) + (6867582)/(322591)*a^(9) - (8945250)/(322591)*a^(8) + (9305330)/(322591)*a^(7) - (7165218)/(322591)*a^(6) + (3696305)/(322591)*a^(5) - (560838)/(322591)*a^(4) - (961932)/(322591)*a^(3) + (887477)/(322591)*a^(2) - (298941)/(322591)*a + (234997)/(322591) , (4725815)/(3548501)*a^(15) - (22724268)/(3548501)*a^(14) + (55014279)/(3548501)*a^(13) - (133314842)/(3548501)*a^(12) + (304751566)/(3548501)*a^(11) - (540283451)/(3548501)*a^(10) + (805870399)/(3548501)*a^(9) - (1067562097)/(3548501)*a^(8) + (1194490749)/(3548501)*a^(7) - (1009000590)/(3548501)*a^(6) + (58451604)/(322591)*a^(5) - (364617361)/(3548501)*a^(4) + (191510279)/(3548501)*a^(3) - (5970762)/(322591)*a^(2) + (8822978)/(3548501)*a - (1446884)/(3548501) , (10200933)/(3548501)*a^(15) - (60440430)/(3548501)*a^(14) + (177662321)/(3548501)*a^(13) - (437838820)/(3548501)*a^(12) + (1016883877)/(3548501)*a^(11) - (1994330903)/(3548501)*a^(10) + (3251349490)/(3548501)*a^(9) - (4592345084)/(3548501)*a^(8) + (5643486740)/(3548501)*a^(7) - (5684303475)/(3548501)*a^(6) + (406911111)/(322591)*a^(5) - (2812691231)/(3548501)*a^(4) + (1555257851)/(3548501)*a^(3) - (69243646)/(322591)*a^(2) + (263169158)/(3548501)*a - (37443823)/(3548501) , (2011678)/(3548501)*a^(15) - (10814494)/(3548501)*a^(14) + (31670129)/(3548501)*a^(13) - (81272286)/(3548501)*a^(12) + (185931743)/(3548501)*a^(11) - (364381815)/(3548501)*a^(10) + (607917888)/(3548501)*a^(9) - (868787514)/(3548501)*a^(8) + (1082438309)/(3548501)*a^(7) - (1120337004)/(3548501)*a^(6) + (85072667)/(322591)*a^(5) - (615406701)/(3548501)*a^(4) + (347200145)/(3548501)*a^(3) - (16145143)/(322591)*a^(2) + (71593141)/(3548501)*a - (12458065)/(3548501) , (12135118)/(3548501)*a^(15) - (70638343)/(3548501)*a^(14) + (200972465)/(3548501)*a^(13) - (488981032)/(3548501)*a^(12) + (1138478284)/(3548501)*a^(11) - (2200939426)/(3548501)*a^(10) + (3524421729)/(3548501)*a^(9) - (4929545332)/(3548501)*a^(8) + (5980182957)/(3548501)*a^(7) - (5879279124)/(3548501)*a^(6) + (407790200)/(322591)*a^(5) - (2791555105)/(3548501)*a^(4) + (1547710894)/(3548501)*a^(3) - (66792007)/(322591)*a^(2) + (230613679)/(3548501)*a - (31997415)/(3548501) , (254763)/(322591)*a^(15) - (1272991)/(322591)*a^(14) + (3341829)/(322591)*a^(13) - (8232846)/(322591)*a^(12) + (18677610)/(322591)*a^(11) - (34715037)/(322591)*a^(10) + (54114416)/(322591)*a^(9) - (73302162)/(322591)*a^(8) + (85876673)/(322591)*a^(7) - (79349525)/(322591)*a^(6) + (56804287)/(322591)*a^(5) - (32798350)/(322591)*a^(4) + (18159773)/(322591)*a^(3) - (8112383)/(322591)*a^(2) + (2213182)/(322591)*a + (45514)/(322591) , (14646001)/(3548501)*a^(15) - (81606235)/(3548501)*a^(14) + (229873328)/(3548501)*a^(13) - (566620871)/(3548501)*a^(12) + (1310455580)/(3548501)*a^(11) - (2522146474)/(3548501)*a^(10) + (4056989080)/(3548501)*a^(9) - (5680230360)/(3548501)*a^(8) + (6895586591)/(3548501)*a^(7) - (6803081132)/(3548501)*a^(6) + (479236119)/(322591)*a^(5) - (3302435779)/(3548501)*a^(4) + (1822324505)/(3548501)*a^(3) - (78708056)/(322591)*a^(2) + (284421959)/(3548501)*a - (39332939)/(3548501) ], 367.977318378, [[x^2 - x - 1, 1], [x^4 - x^3 - 3*x^2 + x + 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 + 6*x^2 - x + 11, 1], [x^8 - 3*x^7 + 5*x^6 - 3*x^5 + 4*x^4 + 3*x^3 + 5*x^2 + 3*x + 1, 1]]]