/* 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^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1, 32, 34, [0, 16], 47330370277129322496000000000000000000000000, [2, 3, 5], [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, a^15, a^16, a^17, a^18, a^19, a^20, a^21, a^22, a^23, a^24, a^25, a^26, a^27, a^28, a^29, a^30, a^31], 1, 4, [4], 1, [ a^(24) + 1 , a^(16) - 1 , a^(29) - a^(25) - a^(21) - a^(17) + a^(5) + a , a^(18) - 1 , a^(6) - 1 , a^(30) - a^(24) - a^(14) + a^(12) - a^(10) + a^(2) , a^(31) - a^(27) - a^(25) + a^(9) + a^(7) , a^(9) - 1 , a^(9) - a^(6) , a^(21) - 1 , a^(29) - a^(28) - a^(24) + a^(16) + a^(12) + a^(8) - 1 , a^(13) - 1 , a^(11) - 1 , a^(31) + a^(30) - a^(10) , a^(25) - 1 ], 5926511257.21094, [[x^2 - x + 1, 1], [x^2 - 2, 1], [x^2 + 6, 1], [x^2 + 1, 1], [x^2 - 3, 1], [x^2 + 2, 1], [x^2 - 6, 1], [x^2 - x - 1, 1], [x^2 - x + 4, 1], [x^2 - 10, 1], [x^2 + 30, 1], [x^2 + 5, 1], [x^2 - 15, 1], [x^2 + 10, 1], [x^2 - 30, 1], [x^4 + 2*x^2 + 4, 1], [x^4 - x^2 + 1, 1], [x^4 - 2*x^2 + 4, 1], [x^4 + 1, 1], [x^4 - 4*x^2 + 1, 1], [x^4 + 9, 1], [x^4 + 4*x^2 + 1, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 + 10*x^2 + 100, 1], [x^4 - 5*x^2 + 25, 1], [x^4 - 10*x^2 + 100, 1], [x^4 - 6*x^2 + 4, 1], [x^4 - 2*x^3 + 5*x^2 - 4*x + 34, 1], [x^4 + 4*x^2 + 9, 1], [x^4 - 16*x^2 + 49, 1], [x^4 - 2*x^3 + 11*x^2 - 10*x + 55, 1], [x^4 - 2*x^2 + 16, 1], [x^4 - 12*x^2 + 81, 1], [x^4 + 8*x^2 + 1, 1], [x^4 + 3*x^2 + 1, 1], [x^4 - 7*x^2 + 16, 1], [x^4 + 25, 1], [x^4 + 225, 1], [x^4 - 2*x^3 - 7*x^2 + 8*x + 1, 1], [x^4 + x^2 + 4, 1], [x^4 - 20*x^2 + 25, 1], [x^4 + 20*x^2 + 25, 1], [x^4 + 6*x^2 + 4, 1], [x^4 - 2*x^3 + 13*x^2 - 12*x + 6, 1], [x^4 - 4*x^2 + 9, 1], [x^4 + 16*x^2 + 49, 1], [x^4 - 2*x^3 - 13*x^2 + 14*x + 19, 1], [x^4 + 2*x^2 + 16, 1], [x^4 - 8*x^2 + 1, 1], [x^4 + 12*x^2 + 81, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 + 10*x^2 + 20, 1], [x^4 - 30*x^2 + 180, 1], [x^4 - 5*x^2 + 5, 1], [x^4 + 15*x^2 + 45, 1], [x^4 - 10*x^2 + 20, 1], [x^4 + 30*x^2 + 180, 1], [x^8 - x^4 + 1, 1], [x^8 + 6*x^6 + 32*x^4 + 24*x^2 + 16, 1], [x^8 - 4*x^6 + 7*x^4 - 36*x^2 + 81, 1], [x^8 - 3*x^6 + 8*x^4 - 3*x^2 + 1, 1], [x^8 - 25*x^4 + 625, 1], [x^8 - 6*x^6 + 32*x^4 - 24*x^2 + 16, 1], [x^8 + 4*x^6 + 7*x^4 + 36*x^2 + 81, 1], [x^8 + 7*x^4 + 1, 1], [x^8 + 17*x^4 + 256, 1], [x^8 - 12*x^6 + 23*x^4 - 12*x^2 + 1, 1], [x^8 + 8*x^6 + 13*x^4 - 12*x^2 + 36, 1], [x^8 - 4*x^7 + 2*x^6 + 8*x^5 + 13*x^4 - 44*x^3 + 164*x^2 - 140*x + 145, 1], [x^8 - 7*x^4 + 16, 1], [x^8 + 12*x^6 + 23*x^4 + 12*x^2 + 1, 1], [x^8 - 8*x^6 + 13*x^4 + 12*x^2 + 36, 1], [x^8 - x^7 + x^5 - x^4 + x^3 - x + 1, 1], [x^8 - 10*x^6 + 80*x^4 - 200*x^2 + 400, 1], [x^8 + 5*x^6 + 20*x^4 + 25*x^2 + 25, 1], [x^8 + 10*x^6 + 80*x^4 + 200*x^2 + 400, 1], [x^8 + 2*x^6 + 4*x^4 + 8*x^2 + 16, 1], [x^8 - 2*x^7 - 15*x^6 + 28*x^5 + 44*x^4 - 58*x^3 - 20*x^2 + 12*x + 1, 1], [x^8 - 8*x^6 + 19*x^4 - 12*x^2 + 1, 1], [x^8 + 12*x^6 + 59*x^4 + 168*x^2 + 361, 1], [x^8 - 6*x^6 + 36*x^4 - 216*x^2 + 1296, 1], [x^8 + 14*x^6 + 56*x^4 + 64*x^2 + 16, 1], [x^8 + 24*x^6 + 171*x^4 + 324*x^2 + 81, 1], [x^8 + 4*x^6 + 11*x^4 - 16*x^2 + 121, 1], [x^8 - x^6 + x^4 - x^2 + 1, 1], [x^8 + 9*x^6 + 26*x^4 + 24*x^2 + 1, 1], [x^8 + 15*x^4 + 25, 1], [x^8 + 135*x^4 + 2025, 1], [x^8 + 3*x^6 + 9*x^4 + 27*x^2 + 81, 1], [x^8 - 7*x^6 + 14*x^4 - 8*x^2 + 1, 1], [x^8 + 20*x^6 + 95*x^4 + 100*x^2 + 25, 1], [x^8 - 20*x^6 + 95*x^4 - 100*x^2 + 25, 1], [x^8 - 2*x^6 + 4*x^4 - 8*x^2 + 16, 1], [x^8 - 2*x^7 + x^6 + 4*x^5 + 24*x^4 - 58*x^3 + 124*x^2 - 124*x + 241, 1], [x^8 + 8*x^6 + 19*x^4 + 12*x^2 + 1, 1], [x^8 - 12*x^6 + 59*x^4 - 168*x^2 + 361, 1], [x^8 + 6*x^6 + 36*x^4 + 216*x^2 + 1296, 1], [x^8 - 14*x^6 + 56*x^4 - 64*x^2 + 16, 1], [x^8 - 4*x^6 + 11*x^4 + 16*x^2 + 121, 1], [x^8 - 24*x^6 + 171*x^4 - 324*x^2 + 81, 1], [x^16 - 7*x^12 + 48*x^8 - 7*x^4 + 1, 1], [x^16 - 2*x^14 + 8*x^10 - 16*x^8 + 32*x^6 - 128*x^2 + 256, 1], [x^16 + 8*x^14 + 45*x^12 + 128*x^10 + 264*x^8 + 212*x^6 + 125*x^4 + 12*x^2 + 1, 1], [x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1, 1], [x^16 - 15*x^12 + 200*x^8 - 375*x^4 + 625, 1], [x^16 + 2*x^14 - 8*x^10 - 16*x^8 - 32*x^6 + 128*x^2 + 256, 1], [x^16 - 8*x^14 + 45*x^12 - 128*x^10 + 264*x^8 - 212*x^6 + 125*x^4 - 12*x^2 + 1, 1], [x^16 - x^12 + x^8 - x^4 + 1, 1], [x^16 + 29*x^12 + 246*x^8 + 524*x^4 + 1, 1], [x^16 + 4*x^14 + 15*x^12 + 56*x^10 + 209*x^8 + 56*x^6 + 15*x^4 + 4*x^2 + 1, 1], [x^16 - 16*x^14 + 105*x^12 - 364*x^10 + 714*x^8 - 784*x^6 + 440*x^4 - 96*x^2 + 1, 1], [x^16 - 9*x^12 + 81*x^8 - 729*x^4 + 6561, 1], [x^16 + 21*x^12 + 86*x^8 + 36*x^4 + 1, 1], [x^16 - 4*x^14 + 15*x^12 - 56*x^10 + 209*x^8 - 56*x^6 + 15*x^4 - 4*x^2 + 1, 1], [x^16 + 16*x^14 + 105*x^12 + 364*x^10 + 714*x^8 + 784*x^6 + 440*x^4 + 96*x^2 + 1, 1]]]