/* 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^33 + 4*x - 4, 33, 162, [1, 16], 579631806703729307489839539459571862536892345913914196754432, [2, 7, 127, 361279, 459803, 149099734067, 6129135169246811499255607], [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, 1/2*a^17, 1/2*a^18, 1/2*a^19, 1/2*a^20, 1/2*a^21, 1/2*a^22, 1/2*a^23, 1/2*a^24, 1/2*a^25, 1/2*a^26, 1/2*a^27, 1/2*a^28, 1/2*a^29, 1/2*a^30, 1/2*a^31, 1/2*a^32], 0, 1, [], 1, [ a - 1 , (1)/(2)*a^(24) + (1)/(2)*a^(23) + (1)/(2)*a^(22) + (1)/(2)*a^(21) + (1)/(2)*a^(20) + (1)/(2)*a^(19) + (1)/(2)*a^(18) + (1)/(2)*a^(17) + 1 , (1)/(2)*a^(32) + (1)/(2)*a^(31) + (1)/(2)*a^(30) + (1)/(2)*a^(29) + (1)/(2)*a^(28) + (1)/(2)*a^(27) + (1)/(2)*a^(26) + (1)/(2)*a^(25) + (1)/(2)*a^(24) + (1)/(2)*a^(23) + (1)/(2)*a^(22) + (1)/(2)*a^(21) + (1)/(2)*a^(20) + 3 , (1)/(2)*a^(20) + (1)/(2)*a^(19) - (1)/(2)*a^(17) - a^(5) + a^(3) + a^(2) - 1 , (1)/(2)*a^(31) + (1)/(2)*a^(29) + (1)/(2)*a^(27) + (1)/(2)*a^(25) + (1)/(2)*a^(23) + (1)/(2)*a^(21) - (1)/(2)*a^(20) + (1)/(2)*a^(19) - (1)/(2)*a^(18) + (1)/(2)*a^(17) - a^(5) + a^(4) - a^(3) + a^(2) - a + 1 , (3)/(2)*a^(32) + (3)/(2)*a^(31) + a^(30) + (3)/(2)*a^(29) + a^(28) + (1)/(2)*a^(27) + (3)/(2)*a^(26) + a^(25) + a^(23) + a^(22) + a^(20) + a^(19) + (3)/(2)*a^(17) + a^(16) - a^(15) + a^(14) + a^(13) - a^(12) + a^(11) + a^(10) - a^(9) + a^(8) + a^(7) - a^(6) + 2*a^(5) + 2*a^(4) - 2*a^(3) + a^(2) + 2*a + 3 , (1)/(2)*a^(32) + (1)/(2)*a^(31) + (1)/(2)*a^(30) + (1)/(2)*a^(29) + (1)/(2)*a^(28) + (1)/(2)*a^(27) + (1)/(2)*a^(26) + (1)/(2)*a^(25) - (1)/(2)*a^(23) - a^(22) - (3)/(2)*a^(21) - a^(20) - (1)/(2)*a^(19) + (1)/(2)*a^(17) + a^(12) + a^(11) + a^(10) + a^(9) - a^(3) - a^(2) - a + 1 , (1)/(2)*a^(28) + a^(27) + (1)/(2)*a^(26) + (1)/(2)*a^(24) + (1)/(2)*a^(23) - (1)/(2)*a^(22) - (1)/(2)*a^(21) + (1)/(2)*a^(20) + (1)/(2)*a^(19) - a^(13) - a^(12) + a^(11) + a^(10) - a^(9) + 2*a^(7) - 2*a^(5) + a^(3) + 1 , (1)/(2)*a^(31) - (1)/(2)*a^(30) + (1)/(2)*a^(29) + (1)/(2)*a^(27) + (1)/(2)*a^(26) - (1)/(2)*a^(25) + (1)/(2)*a^(24) - (1)/(2)*a^(23) + a^(22) + (1)/(2)*a^(19) - a^(18) + a^(17) - a^(16) + a^(15) - a^(13) + a^(12) - a^(11) + 2*a^(10) - a^(9) - a^(6) + 2*a^(5) - 2*a^(4) + 2*a^(3) - 2*a^(2) + 1 , (1)/(2)*a^(32) + a^(31) + (1)/(2)*a^(29) + (1)/(2)*a^(28) + (1)/(2)*a^(26) + (1)/(2)*a^(25) + (1)/(2)*a^(24) + (1)/(2)*a^(23) + a^(22) + a^(20) - a^(19) + a^(18) - (1)/(2)*a^(17) + a^(16) + 2*a^(14) - 2*a^(13) + 2*a^(12) - 2*a^(11) + a^(10) - a^(9) + 2*a^(8) - 2*a^(7) + 3*a^(6) - 2*a^(5) + 3*a^(4) - 2*a^(3) + a^(2) - a + 3 , (1)/(2)*a^(32) + a^(31) - a^(30) - (5)/(2)*a^(29) - a^(28) + a^(27) + (1)/(2)*a^(26) - a^(25) + (5)/(2)*a^(23) + (5)/(2)*a^(22) - (1)/(2)*a^(21) - 2*a^(20) + a^(18) - 2*a^(17) - 4*a^(16) + 4*a^(14) + a^(13) - 3*a^(12) + a^(11) + 6*a^(10) + a^(9) - 6*a^(8) - 2*a^(7) + 5*a^(6) - 8*a^(4) - 3*a^(3) + 7*a^(2) + 4*a - 3 , a^(32) + a^(31) + (3)/(2)*a^(30) + (3)/(2)*a^(29) + (3)/(2)*a^(28) + a^(27) + a^(26) + (1)/(2)*a^(25) - (1)/(2)*a^(24) - (1)/(2)*a^(23) - a^(22) - 2*a^(21) - (3)/(2)*a^(20) - a^(19) - 2*a^(18) - (1)/(2)*a^(17) + a^(16) - a^(15) + 2*a^(14) + 3*a^(13) - a^(12) + 4*a^(11) + 2*a^(10) - 2*a^(9) + 4*a^(8) - a^(7) - 3*a^(6) + 3*a^(5) - 4*a^(4) - 2*a^(3) + a^(2) - 4*a + 3 , (1)/(2)*a^(31) + (1)/(2)*a^(30) + a^(29) + (1)/(2)*a^(28) - (1)/(2)*a^(26) - (1)/(2)*a^(25) - (1)/(2)*a^(24) + (1)/(2)*a^(22) + (1)/(2)*a^(21) + (1)/(2)*a^(20) + (1)/(2)*a^(19) - (1)/(2)*a^(18) - (1)/(2)*a^(17) - a^(16) - a^(15) + a^(13) + a^(12) + a^(11) - a^(9) - a^(8) - a^(7) + 2*a^(4) + 2*a^(2) - 1 , a^(32) - (1)/(2)*a^(31) - 2*a^(30) - 3*a^(29) - 4*a^(28) - (9)/(2)*a^(27) - 5*a^(26) - 5*a^(25) - 5*a^(24) - (9)/(2)*a^(23) - 4*a^(22) - (7)/(2)*a^(21) - 3*a^(20) - 3*a^(19) - 3*a^(18) - 3*a^(17) - 3*a^(16) - 3*a^(15) - 3*a^(14) - 3*a^(13) - 3*a^(12) - 3*a^(11) - 3*a^(10) - 2*a^(9) - a^(8) + a^(6) + 2*a^(5) + 3*a^(4) + 4*a^(3) + 5*a^(2) + 6*a + 11 , a^(31) + (1)/(2)*a^(30) + (1)/(2)*a^(29) + (3)/(2)*a^(28) + a^(27) + a^(25) + (1)/(2)*a^(24) - a^(23) + (1)/(2)*a^(22) - (1)/(2)*a^(21) - a^(20) + a^(19) - (1)/(2)*a^(17) + a^(16) + a^(15) - a^(14) - 2*a^(11) - a^(9) - 2*a^(8) + a^(7) + a^(6) - 2*a^(5) + a^(4) + 3*a^(3) - 3*a^(2) + a + 1 , (1)/(2)*a^(32) + a^(31) + a^(30) + 2*a^(29) + 2*a^(28) + 3*a^(27) + 3*a^(26) + 3*a^(25) + 3*a^(24) + (5)/(2)*a^(23) + (5)/(2)*a^(22) + (5)/(2)*a^(21) + (5)/(2)*a^(20) + 3*a^(19) + 3*a^(18) + (5)/(2)*a^(17) + 2*a^(16) + a^(15) - a^(12) - a^(7) - 2*a^(6) - 2*a^(5) - 4*a^(4) - 2*a^(3) - 3*a^(2) - a + 1 ], 84037986779048380, []]