/* 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 + 32*x^16 + 16*x^12 + 512*x^8 + 4096, 24, 400, [0, 12], 4426749135366626687982375069024256, [2, 23, 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^6, 1/512*a^19 - 1/16*a^10 - 3/32*a^7 - 1/4*a^5 - 1/4*a^4 - 1/2*a, 1/2560*a^20 - 1/160*a^16 - 1/80*a^12 - 7/160*a^8 - 1/10*a^4 - 2/5, 1/5120*a^21 - 1/320*a^17 - 1/160*a^13 - 7/320*a^9 - 1/20*a^5 - 1/5*a, 1/10240*a^22 - 1/640*a^18 - 1/128*a^16 - 1/320*a^14 + 33/640*a^10 - 1/40*a^6 - 1/8*a^4 - 1/10*a^2, 1/20480*a^23 - 1/5120*a^20 - 1/1280*a^19 - 1/256*a^17 + 1/320*a^16 - 1/640*a^15 - 1/64*a^14 + 1/160*a^12 + 33/1280*a^11 + 7/320*a^8 + 9/80*a^7 + 3/16*a^5 + 1/20*a^4 - 1/20*a^3 + 1/4*a^2 + 1/5], 1, 2, [2], 1, [ (1)/(512)*a^(20) + (1)/(64)*a^(16) + (1)/(16)*a^(12) + (9)/(32)*a^(8) + (3)/(4)*a^(4) + 3 , (1)/(2560)*a^(23) + (1)/(10240)*a^(22) - (3)/(1280)*a^(19) + (3)/(1280)*a^(18) + (1)/(128)*a^(16) + (1)/(320)*a^(15) - (1)/(320)*a^(14) - (7)/(160)*a^(11) + (33)/(640)*a^(10) + (1)/(8)*a^(8) - (3)/(80)*a^(7) + (3)/(80)*a^(6) + (1)/(8)*a^(4) - (13)/(20)*a^(3) + (2)/(5)*a^(2) + 1 , (3)/(2560)*a^(22) + (1)/(5120)*a^(21) + (1)/(1280)*a^(18) - (1)/(320)*a^(17) + (1)/(40)*a^(14) - (1)/(160)*a^(13) - (1)/(160)*a^(10) - (7)/(320)*a^(9) + (21)/(80)*a^(6) - (1)/(20)*a^(5) - (1)/(5)*a^(2) - (1)/(5)*a - 1 , (1)/(20480)*a^(23) + (1)/(5120)*a^(22) + (7)/(5120)*a^(20) + (3)/(2560)*a^(19) + (1)/(1280)*a^(18) + (1)/(256)*a^(17) - (1)/(160)*a^(16) - (1)/(640)*a^(15) + (3)/(320)*a^(14) + (3)/(160)*a^(12) + (33)/(1280)*a^(11) + (13)/(320)*a^(10) + (1)/(8)*a^(9) - (49)/(320)*a^(8) + (3)/(160)*a^(7) + (1)/(80)*a^(6) + (1)/(16)*a^(5) + (3)/(20)*a^(4) - (1)/(20)*a^(3) + (11)/(20)*a^(2) + (3)/(2)*a - (7)/(5) , (1)/(2560)*a^(23) - (1)/(2560)*a^(21) - (1)/(2560)*a^(19) - (3)/(320)*a^(17) + (1)/(320)*a^(15) - (3)/(160)*a^(13) - (7)/(160)*a^(11) - (33)/(160)*a^(9) - (1)/(160)*a^(7) - (2)/(5)*a^(5) - (13)/(20)*a^(3) - (21)/(10)*a , (7)/(20480)*a^(23) + (3)/(10240)*a^(22) - (1)/(2560)*a^(21) - (1)/(5120)*a^(20) + (3)/(1280)*a^(19) - (1)/(1280)*a^(18) - (7)/(1280)*a^(17) - (3)/(640)*a^(16) + (3)/(640)*a^(15) + (1)/(160)*a^(14) - (3)/(160)*a^(13) + (1)/(160)*a^(12) + (71)/(1280)*a^(11) - (21)/(640)*a^(10) - (13)/(160)*a^(9) - (33)/(320)*a^(8) + (3)/(80)*a^(7) - (1)/(80)*a^(6) - (27)/(80)*a^(5) + (7)/(40)*a^(4) + (2)/(5)*a^(3) - (1)/(20)*a^(2) - (3)/(5)*a - (4)/(5) , (1)/(1280)*a^(22) - (13)/(5120)*a^(21) - (3)/(640)*a^(18) - (1)/(160)*a^(17) + (1)/(160)*a^(14) - (7)/(160)*a^(13) - (7)/(80)*a^(10) - (29)/(320)*a^(9) + (7)/(40)*a^(6) - (3)/(5)*a^(5) - (13)/(10)*a^(2) - (2)/(5)*a , (3)/(2560)*a^(23) + (1)/(1280)*a^(22) - (1)/(1024)*a^(21) + (1)/(640)*a^(20) + (1)/(1280)*a^(19) - (3)/(640)*a^(18) + (1)/(160)*a^(16) + (1)/(40)*a^(15) + (1)/(160)*a^(14) - (1)/(32)*a^(13) + (1)/(80)*a^(12) - (1)/(160)*a^(11) - (7)/(80)*a^(10) - (1)/(64)*a^(9) + (3)/(40)*a^(8) + (21)/(80)*a^(7) - (3)/(40)*a^(6) - (1)/(2)*a^(5) + (1)/(10)*a^(4) - (1)/(5)*a^(3) - (13)/(10)*a^(2) + (2)/(5) , (7)/(20480)*a^(23) + (3)/(10240)*a^(22) + (3)/(2560)*a^(21) - (9)/(5120)*a^(20) + (1)/(2560)*a^(19) - (1)/(1280)*a^(18) + (1)/(1280)*a^(17) + (3)/(640)*a^(16) + (3)/(640)*a^(15) + (1)/(160)*a^(14) + (1)/(40)*a^(13) - (1)/(160)*a^(12) - (9)/(1280)*a^(11) - (21)/(640)*a^(10) - (1)/(160)*a^(9) + (63)/(320)*a^(8) + (1)/(160)*a^(7) - (1)/(80)*a^(6) + (21)/(80)*a^(5) + (13)/(40)*a^(4) - (1)/(10)*a^(3) - (11)/(20)*a^(2) - (7)/(10)*a + (14)/(5) , (17)/(20480)*a^(23) + (1)/(2560)*a^(22) + (7)/(5120)*a^(21) + (1)/(1024)*a^(20) + (1)/(2560)*a^(19) + (1)/(640)*a^(18) - (3)/(1280)*a^(17) + (13)/(640)*a^(15) + (1)/(320)*a^(14) + (3)/(160)*a^(13) + (1)/(32)*a^(12) + (1)/(1280)*a^(11) + (3)/(160)*a^(10) - (9)/(320)*a^(9) + (1)/(64)*a^(8) + (41)/(160)*a^(7) + (1)/(40)*a^(6) + (17)/(80)*a^(5) + (1)/(4)*a^(4) - (1)/(10)*a^(3) - (3)/(20)*a^(2) - (9)/(10)*a , (3)/(2560)*a^(23) + (3)/(2560)*a^(22) + (1)/(1024)*a^(21) + (1)/(2560)*a^(20) + (1)/(1280)*a^(19) + (3)/(640)*a^(18) - (1)/(160)*a^(16) + (1)/(40)*a^(15) + (1)/(40)*a^(14) + (1)/(32)*a^(13) - (1)/(80)*a^(12) - (1)/(160)*a^(11) + (19)/(160)*a^(10) + (1)/(64)*a^(9) - (7)/(160)*a^(8) + (21)/(80)*a^(7) + (13)/(40)*a^(6) + (1)/(2)*a^(5) - (1)/(10)*a^(4) - (1)/(5)*a^(3) + (4)/(5)*a^(2) - (2)/(5) ], 43694305.58761333, [[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 - 2*x^5 - 7*x^4 + 14*x^3 + 7*x^2 - 16*x + 5, 1], [x^6 - 6*x^4 + 8*x^2 - 2, 1], [x^6 + 6*x^4 + 8*x^2 + 2, 1], [x^6 - 3*x^5 + 9*x^4 - 13*x^3 + 14*x^2 - 8*x + 2, 1], [x^6 - 12*x^4 + 44*x^2 - 46, 1], [x^6 + 12*x^4 + 44*x^2 + 46, 1], [x^6 - 2*x^5 + 2*x^4 + 2*x^3 + 4*x^2 - 4*x + 2, 1], [x^12 - 4*x^11 + 24*x^10 - 68*x^9 + 224*x^8 - 476*x^7 + 1014*x^6 - 1640*x^5 + 2268*x^4 - 2900*x^3 + 2764*x^2 - 2512*x + 1682, 1], [x^12 - 16*x^10 + 87*x^8 - 196*x^6 + 187*x^4 - 60*x^2 + 1, 1], [x^12 + 8*x^8 + 2*x^6 + 32*x^4 + 64, 1], [x^12 + 16*x^10 + 87*x^8 + 196*x^6 + 187*x^4 + 60*x^2 + 1, 1], [x^12 + 8*x^8 - 2*x^6 + 32*x^4 + 64, 1], [x^12 - 4*x^11 + 8*x^10 - 10*x^9 + 24*x^7 - 46*x^6 + 48*x^5 - 80*x^3 + 128*x^2 - 128*x + 64, 1], [x^12 + 27*x^8 + 107*x^4 + 1, 1]]]