/* 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^6 - 3*x^5 - 14*x^4 + 33*x^3 + 51*x^2 - 68*x + 16, 6, 2, [6, 0], 1470398125, [5, 7, 19], [1, a, a^2, a^3, 1/4*a^4 - 1/2*a^3 + 1/4*a, 1/4*a^5 + 1/4*a^2 - 1/2*a], 0, 1, [], 0, [ (1)/(2)*a^(5) - (5)/(4)*a^(4) - (15)/(2)*a^(3) + (25)/(2)*a^(2) + (123)/(4)*a - 18 , (1)/(4)*a^(4) - (1)/(2)*a^(3) - 2*a^(2) + (13)/(4)*a , (5)/(4)*a^(5) - (7)/(2)*a^(4) - 19*a^(3) + (149)/(4)*a^(2) + 79*a - 63 , (1)/(4)*a^(4) + (1)/(2)*a^(3) - 2*a^(2) - (15)/(4)*a + 1 , (3)/(4)*a^(5) - (5)/(4)*a^(4) - (21)/(2)*a^(3) + (43)/(4)*a^(2) + (129)/(4)*a - 23 ], 906.267723764, [[x^2 - x - 33, 1], [x^3 - 10*x - 5, 3]]]