/* 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 - 48*x^14 + 936*x^12 - 9504*x^10 + 53604*x^8 - 166752*x^6 + 270864*x^4 - 202176*x^2 + 46818, 16, 22, [16, 0], 321236373250909071617512439808, [2, 3], [1, a, a^2, a^3, 1/3*a^4, 1/3*a^5, 1/3*a^6, 1/3*a^7, 1/63*a^8 - 1/21*a^6 - 1/7*a^4 + 1/7*a^2 - 2/7, 1/63*a^9 - 1/21*a^7 - 1/7*a^5 + 1/7*a^3 - 2/7*a, 1/63*a^10 + 1/21*a^6 + 1/21*a^4 + 1/7*a^2 + 1/7, 1/63*a^11 + 1/21*a^7 + 1/21*a^5 + 1/7*a^3 + 1/7*a, 1/189*a^12 - 1/21*a^6 - 1/7*a^4 - 3/7*a^2 + 2/7, 1/3213*a^13 + 1/357*a^11 + 1/153*a^9 - 5/357*a^7 - 1/51*a^5 + 7/17*a^3 - 44/119*a, 1/3213*a^14 - 8/3213*a^12 + 1/153*a^10 + 2/1071*a^8 - 1/51*a^6 + 4/51*a^4 + 24/119*a^2 + 3/7, 1/3213*a^15 - 1/357*a^11 + 1/153*a^9 - 10/119*a^7 - 4/51*a^5 - 26/119*a^3 + 5/119*a], 0, 1, [], 1, [ (1)/(63)*a^(8) - (8)/(21)*a^(6) + (20)/(7)*a^(4) - (48)/(7)*a^(2) + (19)/(7) , (2)/(189)*a^(12) - (8)/(21)*a^(10) + (36)/(7)*a^(8) - 32*a^(6) + (1903)/(21)*a^(4) - 100*a^(2) + (193)/(7) , (1)/(189)*a^(12) - (4)/(21)*a^(10) + (18)/(7)*a^(8) - 16*a^(6) + (955)/(21)*a^(4) - 52*a^(2) + (107)/(7) , (11)/(3213)*a^(14) - (394)/(3213)*a^(12) + (1760)/(1071)*a^(10) - (10807)/(1071)*a^(8) + (3295)/(119)*a^(6) - (9824)/(357)*a^(4) + (366)/(119)*a^(2) + (19)/(7) , (5)/(3213)*a^(14) - (10)/(153)*a^(12) + (1174)/(1071)*a^(10) - (3340)/(357)*a^(8) + (5077)/(119)*a^(6) - (35237)/(357)*a^(4) + (11612)/(119)*a^(2) - (179)/(7) , (11)/(3213)*a^(14) - (1)/(459)*a^(13) - (496)/(3213)*a^(12) + (9)/(119)*a^(11) + (2984)/(1071)*a^(10) - (115)/(119)*a^(9) - (27331)/(1071)*a^(8) + (652)/(119)*a^(7) + (14719)/(119)*a^(6) - (1542)/(119)*a^(5) - (106877)/(357)*a^(4) + (1153)/(119)*a^(3) + (36185)/(119)*a^(2) - (236)/(119)*a - 81 , (4)/(3213)*a^(15) + (1)/(1071)*a^(14) - (190)/(3213)*a^(13) - (160)/(3213)*a^(12) + (401)/(357)*a^(11) + (1109)/(1071)*a^(10) - (11570)/(1071)*a^(9) - (11435)/(1071)*a^(8) + (19547)/(357)*a^(7) + (6793)/(119)*a^(6) - (49136)/(357)*a^(5) - (7655)/(51)*a^(4) + (17089)/(119)*a^(3) + (19639)/(119)*a^(2) - (4404)/(119)*a - (333)/(7) , (11)/(3213)*a^(14) + (1)/(459)*a^(13) - (479)/(3213)*a^(12) - (9)/(119)*a^(11) + (2780)/(1071)*a^(10) + (115)/(119)*a^(9) - (8198)/(357)*a^(8) - (652)/(119)*a^(7) + (38581)/(357)*a^(6) + (1542)/(119)*a^(5) - (30554)/(119)*a^(4) - (1153)/(119)*a^(3) + (30813)/(119)*a^(2) + (236)/(119)*a - (479)/(7) , (1)/(459)*a^(15) + (11)/(3213)*a^(14) - (299)/(3213)*a^(13) - (445)/(3213)*a^(12) + (100)/(63)*a^(11) + (2372)/(1071)*a^(10) - (14743)/(1071)*a^(9) - (6362)/(357)*a^(8) + (22790)/(357)*a^(7) + (27157)/(357)*a^(6) - (54254)/(357)*a^(5) - (2830)/(17)*a^(4) + (19235)/(119)*a^(3) + (19389)/(119)*a^(2) - (6512)/(119)*a - (349)/(7) , (1)/(459)*a^(15) - (11)/(3213)*a^(14) - (299)/(3213)*a^(13) + (428)/(3213)*a^(12) + (100)/(63)*a^(11) - (2168)/(1071)*a^(10) - (14743)/(1071)*a^(9) + (16349)/(1071)*a^(8) + (22790)/(357)*a^(7) - (3083)/(51)*a^(6) - (54254)/(357)*a^(5) + (44215)/(357)*a^(4) + (19235)/(119)*a^(3) - (14017)/(119)*a^(2) - (6512)/(119)*a + (261)/(7) , (11)/(3213)*a^(14) - (137)/(1071)*a^(12) + (1964)/(1071)*a^(10) - (13544)/(1071)*a^(8) + (15461)/(357)*a^(6) - (3560)/(51)*a^(4) + (5262)/(119)*a^(2) - (27)/(7) , (1)/(459)*a^(15) - (11)/(3213)*a^(14) - (37)/(357)*a^(13) + (479)/(3213)*a^(12) + (124)/(63)*a^(11) - (2780)/(1071)*a^(10) - (2893)/(153)*a^(9) + (8198)/(357)*a^(8) + (34214)/(357)*a^(7) - (38581)/(357)*a^(6) - (86605)/(357)*a^(5) + (91781)/(357)*a^(4) + (31135)/(119)*a^(3) - (31289)/(119)*a^(2) - (1382)/(17)*a + (535)/(7) , (4)/(3213)*a^(15) - (1)/(1071)*a^(14) - (173)/(3213)*a^(13) + (143)/(3213)*a^(12) + (111)/(119)*a^(11) - (905)/(1071)*a^(10) - (8833)/(1071)*a^(9) + (2888)/(357)*a^(8) + (4657)/(119)*a^(7) - (14531)/(357)*a^(6) - (11307)/(119)*a^(5) + (5207)/(51)*a^(4) + (11717)/(119)*a^(3) - (1873)/(17)*a^(2) - (2908)/(119)*a + (221)/(7) , (11)/(3213)*a^(14) - (10)/(3213)*a^(13) - (445)/(3213)*a^(12) + (41)/(357)*a^(11) + (2372)/(1071)*a^(10) - (191)/(119)*a^(9) - (6362)/(357)*a^(8) + (1252)/(119)*a^(7) + (27157)/(357)*a^(6) - (11609)/(357)*a^(5) - (8473)/(51)*a^(4) + (5035)/(119)*a^(3) + (18913)/(119)*a^(2) - (1940)/(119)*a - (293)/(7) , (4)/(3213)*a^(15) - (1)/(1071)*a^(14) - (164)/(3213)*a^(13) + (109)/(3213)*a^(12) + (890)/(1071)*a^(11) - (71)/(153)*a^(10) - (7325)/(1071)*a^(9) + (1052)/(357)*a^(8) + (10679)/(357)*a^(7) - (3107)/(357)*a^(6) - (23699)/(357)*a^(5) + (3979)/(357)*a^(4) + (7517)/(119)*a^(3) - (105)/(17)*a^(2) - (2046)/(119)*a + 1 ], 8601040814.68, [[x^2 - 2, 1], [x^4 - 4*x^2 + 2, 1], [x^8 - 24*x^6 + 180*x^4 - 432*x^2 + 162, 1]]]