/* 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^24 - 8*x^20 + 16*x^16 + 16*x^12 + 256*x^8 - 2048*x^4 + 4096, 24, 400, [0, 12], 14608995065922872079188435597787136, [2, 31, 37], [1, a, a^2, 1/2*a^3, 1/2*a^4, 1/2*a^5, 1/4*a^6, 1/4*a^7, 1/8*a^8 - 1/2*a^2, 1/8*a^9, 1/8*a^10, 1/16*a^11 - 1/4*a^5, 1/16*a^12, 1/32*a^13 - 1/16*a^10 - 1/8*a^7 - 1/4*a^4, 1/32*a^14 - 1/2*a^2, 1/64*a^15 - 1/4*a^3, 1/64*a^16 - 1/4*a^4, 1/128*a^17 + 1/8*a^5, 1/256*a^18 - 1/16*a^10 + 1/16*a^6 - 1/2*a^2, 1/512*a^19 - 1/32*a^11 - 1/16*a^10 - 3/32*a^7 - 1/4*a^5 - 1/4*a^4 - 1/4*a^3 - 1/2*a, 1/512*a^20 - 1/32*a^12 + 1/32*a^8 - 1/4*a^4, 1/1024*a^21 - 1/64*a^13 - 1/16*a^10 + 1/64*a^9 - 1/8*a^7 - 1/8*a^5 - 1/4*a^4, 1/2048*a^22 - 1/128*a^16 + 1/128*a^14 - 7/128*a^10 - 1/16*a^6 - 1/8*a^4, 1/4096*a^23 - 1/1024*a^20 - 1/256*a^17 - 1/128*a^16 + 1/256*a^15 - 1/64*a^14 - 1/64*a^12 - 7/256*a^11 - 1/16*a^9 - 1/64*a^8 + 3/32*a^7 - 1/16*a^5 - 1/4*a^3 - 1/4*a^2 - 1/2*a], 1, 4, [4], 1, [ (1)/(1024)*a^(21) - (3)/(128)*a^(17) + (1)/(64)*a^(13) + (9)/(64)*a^(9) + (1)/(2)*a^(5) - 6*a , (5)/(2048)*a^(23) + (1)/(512)*a^(21) - (5)/(512)*a^(19) - (1)/(64)*a^(17) - (1)/(128)*a^(15) + (1)/(128)*a^(11) + (1)/(32)*a^(9) + (25)/(32)*a^(7) + (3)/(4)*a^(5) - 2*a^(3) - (7)/(2)*a + 1 , (1)/(1024)*a^(22) + (3)/(1024)*a^(21) + (1)/(256)*a^(18) - (1)/(64)*a^(17) - (1)/(64)*a^(14) - (1)/(64)*a^(13) - (3)/(64)*a^(10) + (3)/(64)*a^(9) + (3)/(16)*a^(6) + (7)/(8)*a^(5) + a^(2) - 3*a + 1 , (7)/(2048)*a^(22) - (1)/(64)*a^(18) - (1)/(128)*a^(16) - (1)/(128)*a^(14) - (1)/(128)*a^(10) + (17)/(16)*a^(6) + (3)/(8)*a^(4) - 3*a^(2) - 2 , (5)/(2048)*a^(23) + (1)/(256)*a^(21) - (3)/(256)*a^(19) - (3)/(128)*a^(17) - (1)/(128)*a^(15) + (5)/(128)*a^(11) + (1)/(16)*a^(9) + (3)/(4)*a^(7) + (9)/(8)*a^(5) - (11)/(4)*a^(3) - 5*a , (7)/(4096)*a^(23) + (3)/(1024)*a^(22) + (1)/(512)*a^(21) + (7)/(1024)*a^(20) - (3)/(256)*a^(19) - (5)/(256)*a^(18) - (5)/(256)*a^(17) - (5)/(128)*a^(16) - (1)/(256)*a^(15) - (1)/(64)*a^(12) + (15)/(256)*a^(11) + (3)/(64)*a^(10) + (3)/(32)*a^(9) + (7)/(64)*a^(8) + (19)/(32)*a^(7) + (17)/(16)*a^(6) + (11)/(16)*a^(5) + (9)/(4)*a^(4) - (11)/(4)*a^(3) - (17)/(4)*a^(2) - (9)/(2)*a - 9 , (13)/(4096)*a^(23) - (1)/(512)*a^(22) + (1)/(512)*a^(21) - (3)/(1024)*a^(20) - (3)/(256)*a^(19) - (1)/(256)*a^(17) + (1)/(128)*a^(16) - (3)/(256)*a^(15) + (1)/(64)*a^(14) + (1)/(64)*a^(12) + (5)/(256)*a^(11) + (1)/(32)*a^(10) - (1)/(32)*a^(9) - (3)/(64)*a^(8) + (29)/(32)*a^(7) - (1)/(2)*a^(6) + (7)/(16)*a^(5) - (3)/(4)*a^(4) - (9)/(4)*a^(3) - (1)/(4)*a^(2) - (1)/(2)*a + 2 , (1)/(1024)*a^(21) - (1)/(512)*a^(19) - (1)/(64)*a^(13) + (1)/(32)*a^(11) + (1)/(64)*a^(9) - (1)/(32)*a^(7) + (1)/(8)*a^(5) - (1)/(4)*a^(3) + (1)/(2)*a + 1 , (1)/(1024)*a^(21) - (1)/(512)*a^(19) - (1)/(64)*a^(13) + (1)/(32)*a^(11) + (1)/(64)*a^(9) - (1)/(32)*a^(7) + (1)/(8)*a^(5) - (1)/(4)*a^(3) + (1)/(2)*a - 1 , (5)/(2048)*a^(23) - (3)/(2048)*a^(22) + (1)/(512)*a^(21) - (5)/(512)*a^(19) - (1)/(128)*a^(17) - (1)/(128)*a^(16) - (1)/(128)*a^(15) + (1)/(128)*a^(14) + (1)/(128)*a^(11) + (5)/(128)*a^(10) + (1)/(32)*a^(9) + (25)/(32)*a^(7) - (5)/(16)*a^(6) + (3)/(8)*a^(5) + (3)/(8)*a^(4) - 2*a^(3) - (1)/(2)*a^(2) - (3)/(2)*a - 2 , (9)/(4096)*a^(23) - (1)/(256)*a^(22) - (1)/(256)*a^(21) - (1)/(1024)*a^(20) - (3)/(512)*a^(19) + (1)/(64)*a^(18) + (7)/(256)*a^(17) + (3)/(128)*a^(16) - (3)/(256)*a^(15) + (1)/(64)*a^(14) - (1)/(64)*a^(12) - (7)/(256)*a^(11) - (1)/(8)*a^(9) - (9)/(64)*a^(8) + (5)/(8)*a^(7) - (5)/(4)*a^(6) - (21)/(16)*a^(5) - (3)/(4)*a^(4) - (3)/(4)*a^(3) + (11)/(4)*a^(2) + 6*a + 6 ], 64723765.21921788, [[x^2 + 2, 1], [x^2 - 2, 1], [x^2 + 1, 1], [x^3 - x^2 - 3*x + 1, 1], [x^4 + 1, 1], [x^6 - 6*x^4 + 8*x^2 - 2, 1], [x^6 + 6*x^4 + 8*x^2 + 2, 1], [x^6 - 16*x^4 + 72*x^2 - 62, 1], [x^6 + 16*x^4 + 72*x^2 + 62, 1], [x^6 - 2*x^5 + 2*x^4 + 2*x^3 + 4*x^2 - 4*x + 2, 1], [x^6 - 2*x^5 - 9*x^4 + 6*x^3 + 25*x^2 + 12*x + 1, 1], [x^6 - 3*x^5 + 5*x^4 - 3*x^3 + 4*x^2 + 2*x + 2, 1], [x^12 - 4*x^11 + 8*x^10 - 10*x^9 + 12*x^8 - 20*x^7 + 34*x^6 - 40*x^5 + 48*x^4 - 80*x^3 + 128*x^2 - 128*x + 64, 1], [x^12 + 27*x^8 + 107*x^4 + 1, 1], [x^12 - 4*x^11 - 8*x^10 + 52*x^9 + 2*x^8 - 208*x^7 + 130*x^6 + 76*x^5 + 290*x^4 - 116*x^3 - 704*x^2 + 64*x + 610, 1], [x^12 - 20*x^10 - 4*x^9 + 124*x^8 + 32*x^7 - 330*x^6 - 96*x^5 + 400*x^4 + 116*x^3 - 200*x^2 - 40*x + 34, 1], [x^12 + 20*x^10 + 131*x^8 + 356*x^6 + 367*x^4 + 56*x^2 + 1, 1], [x^12 - 4*x^10 + 4*x^8 + 2*x^6 + 16*x^4 - 64*x^2 + 64, 1], [x^12 + 4*x^10 + 4*x^8 - 2*x^6 + 16*x^4 + 64*x^2 + 64, 1]]]