/* 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^20 + x^16 + 5*x^12 + 10*x^10 + 9*x^8 + 7*x^6 + 3*x^4 + 4*x^2 + 1, 20, 673, [0, 10], 750661066024355819776, [2, 41381], [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, 1/2*a^14 - 1/2*a^12 - 1/2*a^11 - 1/2*a^9 - 1/2*a^5 - 1/2*a^4 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^15 - 1/2*a^13 - 1/2*a^12 - 1/2*a^10 - 1/2*a^6 - 1/2*a^5 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^16 - 1/2*a^13 - 1/2*a^12 - 1/2*a^9 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^3 - 1/2*a - 1/2, 1/2*a^17 - 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, 1/8326*a^18 + 1123/8326*a^16 - 259/8326*a^14 - 1805/4163*a^12 - 1/2*a^11 + 737/8326*a^10 + 3387/8326*a^8 - 686/4163*a^6 - 1/2*a^5 + 1862/4163*a^4 - 1/2*a^3 - 880/4163*a^2 + 949/8326, 1/8326*a^19 + 1123/8326*a^17 - 259/8326*a^15 - 1805/4163*a^13 - 1/2*a^12 + 737/8326*a^11 + 3387/8326*a^9 - 686/4163*a^7 - 1/2*a^6 + 1862/4163*a^5 - 1/2*a^4 - 880/4163*a^3 + 949/8326*a], 0, 1, [], 0, [ (2032)/(4163)*a^(19) + (612)/(4163)*a^(17) + (2413)/(4163)*a^(15) - (314)/(4163)*a^(13) + (11393)/(4163)*a^(11) + (21760)/(4163)*a^(9) + (26284)/(4163)*a^(7) + (19649)/(4163)*a^(5) + (8023)/(4163)*a^(3) + (9225)/(4163)*a , a , (4545)/(8326)*a^(19) - (611)/(8326)*a^(18) + (197)/(8326)*a^(17) + (371)/(4163)*a^(16) + (5137)/(8326)*a^(15) + (55)/(8326)*a^(14) - (1067)/(8326)*a^(13) - (340)/(4163)*a^(12) + (11714)/(4163)*a^(11) - (703)/(8326)*a^(10) + (22467)/(4163)*a^(9) - (4609)/(8326)*a^(8) + (46227)/(8326)*a^(7) + (2846)/(4163)*a^(6) + (16063)/(4163)*a^(5) + (1797)/(8326)*a^(4) + (5206)/(4163)*a^(3) + (653)/(4163)*a^(2) + (6413)/(4163)*a - (591)/(4163) , (4545)/(8326)*a^(19) + (611)/(8326)*a^(18) + (197)/(8326)*a^(17) - (371)/(4163)*a^(16) + (5137)/(8326)*a^(15) - (55)/(8326)*a^(14) - (1067)/(8326)*a^(13) + (340)/(4163)*a^(12) + (11714)/(4163)*a^(11) + (703)/(8326)*a^(10) + (22467)/(4163)*a^(9) + (4609)/(8326)*a^(8) + (46227)/(8326)*a^(7) - (2846)/(4163)*a^(6) + (16063)/(4163)*a^(5) - (1797)/(8326)*a^(4) + (5206)/(4163)*a^(3) - (653)/(4163)*a^(2) + (6413)/(4163)*a + (591)/(4163) , (1632)/(4163)*a^(19) + (1827)/(8326)*a^(18) - (2131)/(8326)*a^(17) - (319)/(4163)*a^(16) + (1938)/(4163)*a^(15) + (1389)/(8326)*a^(14) - (875)/(4163)*a^(13) - (639)/(4163)*a^(12) + (8003)/(4163)*a^(11) + (5088)/(4163)*a^(10) + (11609)/(4163)*a^(9) + (7160)/(4163)*a^(8) + (4753)/(4163)*a^(7) + (3904)/(4163)*a^(6) + (11665)/(8326)*a^(5) + (703)/(4163)*a^(4) + (150)/(4163)*a^(3) - (842)/(4163)*a^(2) + (12753)/(8326)*a + (10341)/(8326) , (1632)/(4163)*a^(19) - (1827)/(8326)*a^(18) - (2131)/(8326)*a^(17) + (319)/(4163)*a^(16) + (1938)/(4163)*a^(15) - (1389)/(8326)*a^(14) - (875)/(4163)*a^(13) + (639)/(4163)*a^(12) + (8003)/(4163)*a^(11) - (5088)/(4163)*a^(10) + (11609)/(4163)*a^(9) - (7160)/(4163)*a^(8) + (4753)/(4163)*a^(7) - (3904)/(4163)*a^(6) + (11665)/(8326)*a^(5) - (703)/(4163)*a^(4) + (150)/(4163)*a^(3) + (842)/(4163)*a^(2) + (12753)/(8326)*a - (10341)/(8326) , (1590)/(4163)*a^(18) - (357)/(4163)*a^(16) + (327)/(4163)*a^(14) + (877)/(4163)*a^(12) + (6190)/(4163)*a^(10) + (15060)/(4163)*a^(8) + (4095)/(4163)*a^(6) + (1374)/(4163)*a^(4) - (864)/(4163)*a^(2) + (1904)/(4163) , (104)/(181)*a^(19) - (386)/(4163)*a^(18) - (87)/(362)*a^(17) - (526)/(4163)*a^(16) + (247)/(362)*a^(15) + (62)/(4163)*a^(14) - (46)/(181)*a^(13) - (1145)/(4163)*a^(12) + (1075)/(362)*a^(11) - (1398)/(4163)*a^(10) + (1673)/(362)*a^(9) - (12889)/(8326)*a^(8) + (1147)/(362)*a^(7) - (7435)/(4163)*a^(6) + (499)/(181)*a^(5) - (5392)/(4163)*a^(4) + (445)/(362)*a^(3) - (10907)/(8326)*a^(2) + (645)/(362)*a - (4103)/(8326) , (2018)/(4163)*a^(19) + (1066)/(4163)*a^(18) - (1079)/(8326)*a^(17) + (511)/(8326)*a^(16) + (1876)/(4163)*a^(15) + (1491)/(8326)*a^(14) + (270)/(4163)*a^(13) + (867)/(8326)*a^(12) + (9401)/(4163)*a^(11) + (10159)/(8326)*a^(10) + (36107)/(8326)*a^(9) + (23257)/(8326)*a^(8) + (12188)/(4163)*a^(7) + (11150)/(4163)*a^(6) + (22449)/(8326)*a^(5) + (17379)/(8326)*a^(4) + (11207)/(8326)*a^(3) + (6869)/(8326)*a^(2) + (8428)/(4163)*a + (4213)/(8326) ], 91.2702526158, [[x^5 - x^4 - 2*x^2 + 4*x - 1, 1], [x^10 - x^8 - 2*x^4 + 4*x^2 - 1, 1]]]