/* 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 - 47*x^24 + 2208*x^16 - 47*x^8 + 1, 32, 34, [0, 16], 520402924666472696020370152488960000000000000000, [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, 1/21*a^16 + 8/21*a^8 + 1/21, 1/21*a^17 + 8/21*a^9 + 1/21*a, 1/21*a^18 + 8/21*a^10 + 1/21*a^2, 1/21*a^19 + 8/21*a^11 + 1/21*a^3, 1/21*a^20 + 8/21*a^12 + 1/21*a^4, 1/21*a^21 + 8/21*a^13 + 1/21*a^5, 1/21*a^22 + 8/21*a^14 + 1/21*a^6, 1/21*a^23 + 8/21*a^15 + 1/21*a^7, 1/46368*a^24 - 17711/46368, 1/46368*a^25 - 17711/46368*a, 1/46368*a^26 - 17711/46368*a^2, 1/46368*a^27 - 17711/46368*a^3, 1/46368*a^28 - 17711/46368*a^4, 1/46368*a^29 - 17711/46368*a^5, 1/46368*a^30 - 17711/46368*a^6, 1/46368*a^31 - 17711/46368*a^7], 1, 20, [20], 1, [ (1)/(5796)*a^(31) + (104005)/(5796)*a^(7) , (2255)/(15456)*a^(28) - (48)/(7)*a^(20) + (2255)/(7)*a^(12) - (105985)/(15456)*a^(4) - 1 , (17711)/(46368)*a^(30) - (377)/(21)*a^(22) + (17711)/(21)*a^(14) - (832417)/(46368)*a^(6) - 1 , (28657)/(46368)*a^(31) - (10951)/(46368)*a^(29) - (610)/(21)*a^(23) + (233)/(21)*a^(21) + (28657)/(21)*a^(15) - (10946)/(21)*a^(13) - (1346879)/(46368)*a^(7) + (233)/(46368)*a^(5) , (4183)/(46368)*a^(27) - (89)/(21)*a^(19) + (4181)/(21)*a^(11) - (89)/(46368)*a^(3) + 1 , (5)/(46368)*a^(29) + (514229)/(46368)*a^(5) + 1 , (1)/(46368)*a^(25) + (75025)/(46368)*a - 1 , (5473)/(23184)*a^(29) - (1)/(15456)*a^(28) - (233)/(21)*a^(21) + (10946)/(21)*a^(13) - (257231)/(23184)*a^(5) - (105937)/(15456)*a^(4) , (2209)/(2208)*a^(31) - (5473)/(23184)*a^(29) - (799)/(23184)*a^(25) - 47*a^(23) + (233)/(21)*a^(21) + (34)/(21)*a^(17) + 2208*a^(15) - (10946)/(21)*a^(13) - (1597)/(21)*a^(9) - (47)/(2208)*a^(7) + (257231)/(23184)*a^(5) + (17)/(23184)*a , (13)/(46368)*a^(31) + (10951)/(46368)*a^(29) + (799)/(23184)*a^(26) - (233)/(21)*a^(21) - (34)/(21)*a^(18) + (10946)/(21)*a^(13) + (1597)/(21)*a^(10) + (1346269)/(46368)*a^(7) - (233)/(46368)*a^(5) - (17)/(23184)*a^(2) , (14335)/(23184)*a^(30) - (1)/(15456)*a^(28) - (610)/(21)*a^(22) + (28657)/(21)*a^(14) - (305)/(23184)*a^(6) - (105937)/(15456)*a^(4) + 1 , (1)/(2208)*a^(31) + (47)/(322)*a^(27) + (799)/(23184)*a^(25) - (48)/(7)*a^(19) - (34)/(21)*a^(17) + (2255)/(7)*a^(11) + (1597)/(21)*a^(9) + (103729)/(2208)*a^(7) - (1)/(322)*a^(3) - (17)/(23184)*a , (2209)/(2208)*a^(31) + (2255)/(15456)*a^(28) + (2585)/(46368)*a^(26) - 47*a^(23) - (48)/(7)*a^(20) - (55)/(21)*a^(18) + 2208*a^(15) + (2255)/(7)*a^(12) + (2584)/(21)*a^(10) - (47)/(2208)*a^(7) - (105985)/(15456)*a^(4) - (55)/(46368)*a^(2) , (1)/(2208)*a^(31) + (2255)/(15456)*a^(28) - (323)/(5796)*a^(26) - (48)/(7)*a^(20) + (55)/(21)*a^(18) + (2255)/(7)*a^(12) - (2584)/(21)*a^(10) + (103729)/(2208)*a^(7) - (105985)/(15456)*a^(4) + (15181)/(5796)*a^(2) , (28657)/(46368)*a^(30) - (5)/(46368)*a^(29) + (47)/(322)*a^(28) - (323)/(5796)*a^(26) - (1)/(46368)*a^(25) - (799)/(23184)*a^(24) - (610)/(21)*a^(22) - (48)/(7)*a^(20) + (55)/(21)*a^(18) + (34)/(21)*a^(16) + (28657)/(21)*a^(14) + (2255)/(7)*a^(12) - (2584)/(21)*a^(10) - (1597)/(21)*a^(8) - (1346879)/(46368)*a^(6) - (514229)/(46368)*a^(5) - (1)/(322)*a^(4) + (15181)/(5796)*a^(2) - (75025)/(46368)*a + (17)/(23184) ], 82239790500.5115, [[x^2 + 1, 1], [x^2 - 30, 1], [x^2 + 30, 1], [x^2 + 5, 1], [x^2 - x - 1, 1], [x^2 + 6, 1], [x^2 - 6, 1], [x^2 - 2, 1], [x^2 + 2, 1], [x^2 - 15, 1], [x^2 - x + 4, 1], [x^2 + 10, 1], [x^2 - 10, 1], [x^2 - x + 1, 1], [x^2 - 3, 1], [x^4 + 225, 1], [x^4 + 3*x^2 + 1, 1], [x^4 + 9, 1], [x^4 - 12*x^2 + 81, 1], [x^4 - 2*x^3 - 13*x^2 + 14*x + 19, 1], [x^4 + 12*x^2 + 81, 1], [x^4 - 2*x^3 + 11*x^2 - 10*x + 55, 1], [x^4 + 1, 1], [x^4 - 7*x^2 + 16, 1], [x^4 + 25, 1], [x^4 - x^2 + 1, 1], [x^4 - 16*x^2 + 49, 1], [x^4 - 2*x^3 + 13*x^2 - 12*x + 6, 1], [x^4 - 10*x^2 + 100, 1], [x^4 - 20*x^2 + 25, 1], [x^4 - 2*x^3 + 5*x^2 - 4*x + 34, 1], [x^4 + 16*x^2 + 49, 1], [x^4 + 20*x^2 + 25, 1], [x^4 + 10*x^2 + 100, 1], [x^4 + 4*x^2 + 9, 1], [x^4 - 4*x^2 + 9, 1], [x^4 - 5*x^2 + 25, 1], [x^4 + x^2 + 4, 1], [x^4 - 6*x^2 + 4, 1], [x^4 + 6*x^2 + 4, 1], [x^4 - 2*x^3 - 7*x^2 + 8*x + 1, 1], [x^4 - x^3 + 2*x^2 + x + 1, 1], [x^4 + 2*x^2 + 4, 1], [x^4 + 4*x^2 + 1, 1], [x^4 + 8*x^2 + 1, 1], [x^4 - 2*x^2 + 16, 1], [x^4 - 4*x^2 + 1, 1], [x^4 - 2*x^2 + 4, 1], [x^4 - 8*x^2 + 1, 1], [x^4 + 2*x^2 + 16, 1], [x^4 + 12*x^2 + 18, 1], [x^4 - 12*x^2 + 18, 1], [x^4 + 20*x^2 + 50, 1], [x^4 - 20*x^2 + 50, 1], [x^4 - 60*x^2 + 450, 1], [x^4 + 60*x^2 + 450, 1], [x^4 - 4*x^2 + 2, 1], [x^4 + 4*x^2 + 2, 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 + 17*x^4 + 256, 1], [x^8 - 25*x^4 + 625, 1], [x^8 + 7*x^4 + 1, 1], [x^8 - 3*x^6 + 8*x^4 - 3*x^2 + 1, 1], [x^8 - x^4 + 1, 1], [x^8 - 7*x^4 + 16, 1], [x^8 - 4*x^6 + 7*x^4 - 36*x^2 + 81, 1], [x^8 - 8*x^6 + 13*x^4 + 12*x^2 + 36, 1], [x^8 - 12*x^6 + 23*x^4 - 12*x^2 + 1, 1], [x^8 - 6*x^6 + 32*x^4 - 24*x^2 + 16, 1], [x^8 + 8*x^6 + 13*x^4 - 12*x^2 + 36, 1], [x^8 + 4*x^6 + 7*x^4 + 36*x^2 + 81, 1], [x^8 + 6*x^6 + 32*x^4 + 24*x^2 + 16, 1], [x^8 + 12*x^6 + 23*x^4 + 12*x^2 + 1, 1], [x^8 + 81, 1], [x^8 + 625, 1], [x^8 + 50625, 1], [x^8 + 1, 1], [x^8 + 16*x^6 + 80*x^4 + 128*x^2 + 49, 1], [x^8 - 16*x^6 + 80*x^4 - 128*x^2 + 49, 1], [x^8 - 32*x^6 + 320*x^4 - 1024*x^2 + 289, 1], [x^8 + 32*x^6 + 320*x^4 + 1024*x^2 + 289, 1], [x^8 - 4*x^6 + 50*x^4 - 32*x^2 + 64, 1], [x^8 + 4*x^6 + 50*x^4 + 32*x^2 + 64, 1], [x^8 - 4*x^7 + 30*x^6 - 76*x^5 + 225*x^4 - 328*x^3 + 368*x^2 - 216*x + 46, 1], [x^8 - 4*x^7 + 14*x^6 - 28*x^5 + 105*x^4 - 168*x^3 + 456*x^2 - 376*x + 1054, 1], [x^8 + 32*x^6 - 24*x^5 + 262*x^4 - 144*x^3 + 480*x^2 - 792*x + 369, 1], [x^8 - 16*x^6 - 24*x^5 + 166*x^4 + 432*x^3 + 528*x^2 + 936*x + 2961, 1], [x^8 + 8*x^6 + 20*x^4 + 16*x^2 + 49, 1], [x^8 - 8*x^6 + 20*x^4 - 16*x^2 + 49, 1], [x^8 - 4*x^7 + 26*x^6 - 64*x^5 + 235*x^4 - 368*x^3 + 554*x^2 - 380*x + 1279, 1], [x^8 - 4*x^7 - 22*x^6 + 80*x^5 + 115*x^4 - 368*x^3 - 190*x^2 + 388*x - 89, 1], [x^8 + 12*x^6 + 30*x^4 + 24*x^2 + 4, 1], [x^8 - 12*x^6 + 30*x^4 - 24*x^2 + 4, 1], [x^8 + 4*x^6 + 14*x^4 + 8*x^2 + 4, 1], [x^8 - 4*x^6 + 14*x^4 - 8*x^2 + 4, 1], [x^8 - 20*x^6 + 350*x^4 - 1000*x^2 + 2500, 1], [x^8 + 20*x^6 + 350*x^4 + 1000*x^2 + 2500, 1], [x^8 + 8*x^6 + 20*x^4 + 16*x^2 + 1, 1], [x^8 - 8*x^6 + 20*x^4 - 16*x^2 + 1, 1], [x^8 + 40*x^6 + 500*x^4 + 2000*x^2 + 625, 1], [x^8 - 40*x^6 + 500*x^4 - 2000*x^2 + 625, 1], [x^16 - 7*x^12 + 48*x^8 - 7*x^4 + 1, 1], [x^16 + 17*x^8 + 256, 1], [x^16 - 223*x^8 + 65536, 1], [x^16 + 12*x^14 + 58*x^12 - 72*x^11 + 144*x^10 + 576*x^9 + 357*x^8 + 2016*x^7 - 4068*x^6 + 2736*x^5 + 19012*x^4 - 4896*x^3 + 660*x^2 + 22536*x + 10369, 1], [x^16 + 47*x^8 + 1, 1], [x^16 - x^8 + 1, 1], [x^16 - 625*x^8 + 390625, 1], [x^16 - 8*x^14 + 44*x^12 - 128*x^10 + 223*x^8 + 464*x^6 - 724*x^4 - 784*x^2 + 2401, 1], [x^16 + 8*x^14 + 44*x^12 + 128*x^10 + 223*x^8 - 464*x^6 - 724*x^4 + 784*x^2 + 2401, 1], [x^16 + 24*x^14 + 204*x^12 + 768*x^10 + 1343*x^8 + 1104*x^6 + 396*x^4 + 48*x^2 + 1, 1], [x^16 - 24*x^14 + 204*x^12 - 768*x^10 + 1343*x^8 - 1104*x^6 + 396*x^4 - 48*x^2 + 1, 1], [x^16 - 16*x^14 + 104*x^12 - 352*x^10 + 613*x^8 - 296*x^6 - 604*x^4 + 688*x^2 + 2116, 1], [x^16 + 16*x^14 + 104*x^12 + 352*x^10 + 613*x^8 + 296*x^6 - 604*x^4 - 688*x^2 + 2116, 1], [x^16 + 12*x^14 + 114*x^12 + 312*x^10 + 608*x^8 + 624*x^6 + 456*x^4 + 96*x^2 + 16, 1], [x^16 - 12*x^14 + 114*x^12 - 312*x^10 + 608*x^8 - 624*x^6 + 456*x^4 - 96*x^2 + 16, 1]]]