/* 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^14 - 9*x^12 + 62*x^10 + 327*x^8 - 126*x^6 - 146*x^4 - 36*x^2 + 81, 16, 2, [0, 8], 10017750154516748107776, [2, 3, 13], [1, a, a^2, a^3, a^4, 1/3*a^5 - 1/3*a^3 + 1/3*a, 1/3*a^6 - 1/3*a^4 + 1/3*a^2, 1/3*a^7 + 1/3*a, 1/9*a^8 + 1/9*a^2, 1/9*a^9 + 1/9*a^3, 1/9*a^10 + 1/9*a^4, 1/27*a^11 + 1/27*a^9 + 1/9*a^7 - 2/27*a^5 + 4/27*a^3, 1/81*a^12 - 2/81*a^10 + 1/27*a^8 - 11/81*a^6 + 10/81*a^4 - 4/9*a^2, 1/81*a^13 + 1/81*a^11 - 1/27*a^9 - 2/81*a^7 + 4/81*a^5 - 11/27*a^3, 1/1042551*a^14 - 3557/1042551*a^12 - 17879/347517*a^10 - 6374/1042551*a^8 + 64549/1042551*a^6 - 9376/38613*a^4 - 10727/115839*a^2 - 4306/12871, 1/1042551*a^15 - 3557/1042551*a^13 - 5008/347517*a^11 + 32239/1042551*a^9 - 167129/1042551*a^7 + 5713/347517*a^5 - 96536/347517*a^3 - 4306/12871*a], 1, 4, [4], 1, [ (4181)/(1042551)*a^(15) + (2353)/(347517)*a^(13) - (56348)/(1042551)*a^(11) + (302180)/(1042551)*a^(9) + (343307)/(347517)*a^(7) - (2465930)/(1042551)*a^(5) - (162650)/(347517)*a^(3) - (3442)/(38613)*a + 1 , (1651)/(1042551)*a^(14) + (9440)/(1042551)*a^(12) - (2207)/(1042551)*a^(10) + (56488)/(1042551)*a^(8) + (860876)/(1042551)*a^(6) + (1125808)/(1042551)*a^(4) - (128491)/(115839)*a^(2) + (8457)/(12871) , (5630)/(1042551)*a^(14) + (1004)/(38613)*a^(12) - (9779)/(1042551)*a^(10) + (294761)/(1042551)*a^(8) + (810268)/(347517)*a^(6) + (3177820)/(1042551)*a^(4) + (177916)/(115839)*a^(2) + (6184)/(12871) , (383)/(115839)*a^(15) - (1910)/(347517)*a^(14) + (665)/(38613)*a^(13) - (18925)/(1042551)*a^(12) - (95)/(12871)*a^(11) + (44885)/(1042551)*a^(10) + (17119)/(115839)*a^(9) - (39155)/(115839)*a^(8) + (59090)/(38613)*a^(7) - (1935364)/(1042551)*a^(6) + (25745)/(12871)*a^(5) + (127970)/(1042551)*a^(4) - (74812)/(115839)*a^(3) + (6685)/(115839)*a^(2) - (15390)/(12871)*a + (12544)/(12871) , (3602)/(347517)*a^(15) + (121)/(17091)*a^(14) + (34477)/(1042551)*a^(13) + (155)/(5697)*a^(12) - (84647)/(1042551)*a^(11) - (772)/(17091)*a^(10) + (73841)/(115839)*a^(9) + (6703)/(17091)*a^(8) + (3615142)/(1042551)*a^(7) + (15280)/(5697)*a^(6) - (241334)/(1042551)*a^(5) + (16358)/(17091)*a^(4) - (12607)/(115839)*a^(3) - (2216)/(1899)*a^(2) - (31655)/(38613)*a - (67)/(211) , (2756)/(347517)*a^(15) + (6239)/(1042551)*a^(14) + (26701)/(1042551)*a^(13) + (7741)/(347517)*a^(12) - (64766)/(1042551)*a^(11) - (46727)/(1042551)*a^(10) + (56498)/(115839)*a^(9) + (351521)/(1042551)*a^(8) + (2775253)/(1042551)*a^(7) + (772424)/(347517)*a^(6) - (184652)/(1042551)*a^(5) + (371212)/(1042551)*a^(4) - (9646)/(115839)*a^(3) - (12488)/(12871)*a^(2) - (15337)/(38613)*a - (3357)/(12871) , (2291)/(347517)*a^(15) - (4975)/(1042551)*a^(14) + (20510)/(1042551)*a^(13) - (4807)/(347517)*a^(12) - (60274)/(1042551)*a^(11) + (41116)/(1042551)*a^(10) + (147332)/(347517)*a^(9) - (338140)/(1042551)*a^(8) + (2247203)/(1042551)*a^(7) - (173024)/(115839)*a^(6) - (874273)/(1042551)*a^(5) + (621658)/(1042551)*a^(4) - (69104)/(347517)*a^(3) - (33103)/(38613)*a^(2) + (11615)/(38613)*a + (5006)/(12871) ], 46563.6853863, [[x^2 + 1, 1], [x^2 - 3, 1], [x^2 - x + 1, 1], [x^2 - x - 3, 1], [x^2 + 13, 1], [x^2 - 39, 1], [x^2 - x + 10, 1], [x^4 - x^2 + 1, 1], [x^4 + 7*x^2 + 9, 1], [x^4 - 19*x^2 + 100, 1], [x^4 - 2*x^3 - 11*x^2 + 12*x - 3, 1], [x^4 + 5*x^2 + 16, 1], [x^4 - x^3 + 4*x^2 + 3*x + 9, 1], [x^4 - 13*x^2 + 169, 1], [x^4 + 39*x^2 + 117, 1], [x^4 - x^3 - 11*x^2 - 9*x + 3, 1], [x^4 - x^3 + 2*x^2 + 4*x + 3, 1], [x^4 - 13*x^2 + 13, 1], [x^8 - 7*x^6 + 40*x^4 - 63*x^2 + 81, 1], [x^8 + 23*x^6 + 109*x^4 + 147*x^2 + 9, 1], [x^8 - 3*x^6 + 18*x^4 + 4*x^2 + 9, 1], [x^8 - 2*x^7 - 7*x^6 + 22*x^5 + 35*x^4 + 28*x^3 - 5*x^2 - 276*x + 321, 1], [x^8 - 16*x^6 + 70*x^4 - 87*x^2 + 9, 1], [x^8 + 13*x^6 + 156*x^4 + 169*x^2 + 169, 1], [x^8 - x^7 - x^6 - 10*x^5 + 5*x^4 + 14*x^3 + 10*x^2 + 12*x + 9, 1]]]