/* 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^29 - x - 4, 29, 8, [1, 14], 689258003388715552294905021323738295429713895620608, [2, 13, 3373, 84163, 173940633187564199922371542429441], [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, 1/2*a^15 - 1/2*a, 1/2*a^16 - 1/2*a^2, 1/2*a^17 - 1/2*a^3, 1/2*a^18 - 1/2*a^4, 1/2*a^19 - 1/2*a^5, 1/2*a^20 - 1/2*a^6, 1/2*a^21 - 1/2*a^7, 1/2*a^22 - 1/2*a^8, 1/2*a^23 - 1/2*a^9, 1/2*a^24 - 1/2*a^10, 1/2*a^25 - 1/2*a^11, 1/2*a^26 - 1/2*a^12, 1/2*a^27 - 1/2*a^13, 1/2*a^28 - 1/2*a^14], 0, 1, [], 1, [ (1)/(2)*a^(15) - (1)/(2)*a - 1 , (1)/(2)*a^(22) + (1)/(2)*a^(15) + (1)/(2)*a^(8) + (1)/(2)*a + 1 , (1)/(2)*a^(27) - (1)/(2)*a^(25) + (1)/(2)*a^(23) - (1)/(2)*a^(21) + (1)/(2)*a^(19) - (1)/(2)*a^(17) + (1)/(2)*a^(15) - (1)/(2)*a^(13) + (1)/(2)*a^(11) - (1)/(2)*a^(9) + (1)/(2)*a^(7) - (1)/(2)*a^(5) + (1)/(2)*a^(3) - (1)/(2)*a - 1 , (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) - (1)/(2)*a^(19) + (1)/(2)*a^(18) - (1)/(2)*a^(17) + (1)/(2)*a^(16) - (1)/(2)*a^(15) + (1)/(2)*a^(14) - (1)/(2)*a^(13) + (1)/(2)*a^(12) - (1)/(2)*a^(11) + (1)/(2)*a^(10) - (1)/(2)*a^(9) + (1)/(2)*a^(8) - (1)/(2)*a^(7) + (1)/(2)*a^(6) - (1)/(2)*a^(5) + (1)/(2)*a^(4) - (1)/(2)*a^(3) + (1)/(2)*a^(2) - (1)/(2)*a - 1 , (1)/(2)*a^(27) - (1)/(2)*a^(25) + (1)/(2)*a^(24) + (1)/(2)*a^(23) - (1)/(2)*a^(22) + (1)/(2)*a^(20) - (1)/(2)*a^(18) + (1)/(2)*a^(16) - (1)/(2)*a^(15) - a^(14) + (1)/(2)*a^(13) - (3)/(2)*a^(11) - (1)/(2)*a^(10) + (1)/(2)*a^(9) - (1)/(2)*a^(8) - a^(7) + (1)/(2)*a^(6) + a^(5) - (1)/(2)*a^(4) + (3)/(2)*a^(2) + (1)/(2)*a - 1 , (1)/(2)*a^(28) - (1)/(2)*a^(27) - (1)/(2)*a^(26) + (1)/(2)*a^(25) + a^(24) - a^(22) - (1)/(2)*a^(21) + (1)/(2)*a^(20) + (1)/(2)*a^(19) - (1)/(2)*a^(18) - a^(17) - (1)/(2)*a^(16) + (1)/(2)*a^(15) + (1)/(2)*a^(14) - (1)/(2)*a^(13) - (3)/(2)*a^(12) - (1)/(2)*a^(11) + a^(10) + a^(9) - a^(8) - (3)/(2)*a^(7) + (1)/(2)*a^(6) + (5)/(2)*a^(5) + (3)/(2)*a^(4) - a^(3) - (3)/(2)*a^(2) + (3)/(2)*a + 3 , (1)/(2)*a^(27) - (1)/(2)*a^(26) + (1)/(2)*a^(23) - (1)/(2)*a^(22) + (1)/(2)*a^(21) - (1)/(2)*a^(20) + (1)/(2)*a^(19) + (1)/(2)*a^(17) - a^(16) + (1)/(2)*a^(15) + (1)/(2)*a^(13) - (1)/(2)*a^(12) - a^(10) + (1)/(2)*a^(9) + (1)/(2)*a^(8) - (1)/(2)*a^(7) - (3)/(2)*a^(6) + (1)/(2)*a^(5) - (1)/(2)*a^(3) - (1)/(2)*a - 1 , (1)/(2)*a^(26) + (1)/(2)*a^(25) + (1)/(2)*a^(24) - (1)/(2)*a^(22) - (1)/(2)*a^(21) - (1)/(2)*a^(17) - a^(16) - (1)/(2)*a^(15) - a^(14) - (1)/(2)*a^(12) - (1)/(2)*a^(11) - (1)/(2)*a^(10) + (1)/(2)*a^(8) + (1)/(2)*a^(7) + a^(4) + (3)/(2)*a^(3) + 3*a^(2) + (3)/(2)*a + 1 , (1)/(2)*a^(28) - (1)/(2)*a^(27) + (1)/(2)*a^(26) - (1)/(2)*a^(24) + a^(23) - (1)/(2)*a^(21) + (1)/(2)*a^(20) - (1)/(2)*a^(16) + (1)/(2)*a^(14) - (1)/(2)*a^(13) - (1)/(2)*a^(12) + a^(11) - (1)/(2)*a^(10) - a^(9) + a^(8) - (1)/(2)*a^(7) - (1)/(2)*a^(6) + a^(5) - a^(4) + a^(3) + (3)/(2)*a^(2) - 2*a + 1 , (1)/(2)*a^(28) - a^(27) + (1)/(2)*a^(26) - (1)/(2)*a^(24) + a^(23) - a^(22) + (1)/(2)*a^(20) - (3)/(2)*a^(19) + a^(18) - (1)/(2)*a^(17) - (1)/(2)*a^(16) + a^(15) - (3)/(2)*a^(14) + a^(13) + (1)/(2)*a^(12) - a^(11) + (5)/(2)*a^(10) + 2*a^(7) - (3)/(2)*a^(6) + (3)/(2)*a^(5) - (3)/(2)*a^(3) + (5)/(2)*a^(2) - 3*a - 1 , a^(28) - (1)/(2)*a^(27) + a^(25) - (3)/(2)*a^(24) + a^(23) - a^(22) + (3)/(2)*a^(21) - 2*a^(20) + (3)/(2)*a^(19) - (1)/(2)*a^(18) - (1)/(2)*a^(17) + (1)/(2)*a^(16) + a^(14) - (5)/(2)*a^(13) + 3*a^(12) - 3*a^(11) + (3)/(2)*a^(10) + a^(8) - (3)/(2)*a^(7) + (3)/(2)*a^(5) - (7)/(2)*a^(4) + (9)/(2)*a^(3) - (7)/(2)*a^(2) + a - 3 , 2*a^(28) - (3)/(2)*a^(27) + (3)/(2)*a^(25) - a^(24) - a^(23) + (5)/(2)*a^(22) - (3)/(2)*a^(21) - (1)/(2)*a^(20) + (5)/(2)*a^(19) - 3*a^(18) + 2*a^(17) + a^(16) - (5)/(2)*a^(15) + a^(14) + (5)/(2)*a^(13) - 4*a^(12) + (3)/(2)*a^(11) + 2*a^(10) - 4*a^(9) + (9)/(2)*a^(8) - (3)/(2)*a^(7) - (5)/(2)*a^(6) + (7)/(2)*a^(5) - 5*a^(3) + 5*a^(2) - (1)/(2)*a - 5 , (1)/(2)*a^(28) + a^(27) + (1)/(2)*a^(26) + (1)/(2)*a^(25) - (1)/(2)*a^(24) + (3)/(2)*a^(23) - (5)/(2)*a^(22) + (1)/(2)*a^(21) - (1)/(2)*a^(20) - (7)/(2)*a^(19) + (5)/(2)*a^(18) - 3*a^(17) + (1)/(2)*a^(16) + 2*a^(15) - (3)/(2)*a^(14) + 3*a^(13) + (1)/(2)*a^(12) + (3)/(2)*a^(11) - (1)/(2)*a^(10) + (3)/(2)*a^(9) - (3)/(2)*a^(8) - (7)/(2)*a^(7) + (7)/(2)*a^(6) - (15)/(2)*a^(5) + (3)/(2)*a^(4) + a^(3) - (11)/(2)*a^(2) + 7*a - 1 , (3)/(2)*a^(28) - (3)/(2)*a^(27) + a^(26) - (3)/(2)*a^(25) + (1)/(2)*a^(24) - a^(23) + (1)/(2)*a^(22) + a^(20) + (3)/(2)*a^(19) - (1)/(2)*a^(18) - 2*a^(16) + a^(15) - (5)/(2)*a^(14) + (5)/(2)*a^(13) - 2*a^(12) + (7)/(2)*a^(11) - (5)/(2)*a^(10) + 5*a^(9) - (7)/(2)*a^(8) + 3*a^(7) - 6*a^(6) + (7)/(2)*a^(5) - (11)/(2)*a^(4) + 5*a^(3) - 3*a^(2) + 7*a - 5 ], 216030725427151.9, []]