/* 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 - 2*x^19 + 10*x^17 - 15*x^16 + 40*x^14 - 64*x^13 + 46*x^12 + 8*x^11 - 32*x^10 + 8*x^9 + 46*x^8 - 64*x^7 + 40*x^6 - 15*x^4 + 10*x^3 - 2*x + 1, 20, 5, [0, 10], 3354518684571451850752, [2, 13], [1, a, a^2, a^3, a^4, 1/2*a^5 - 1/2*a^4 - 1/2*a - 1/2, 1/2*a^6 - 1/2*a^4 - 1/2*a^2 - 1/2, 1/2*a^7 - 1/2*a^4 - 1/2*a^3 - 1/2, 1/2*a^8 - 1/2, 1/2*a^9 - 1/2*a, 1/4*a^10 - 1/4*a^8 - 1/4*a^2 + 1/4, 1/4*a^11 - 1/4*a^9 - 1/4*a^3 + 1/4*a, 1/4*a^12 - 1/4*a^8 - 1/4*a^4 + 1/4, 1/4*a^13 - 1/4*a^9 - 1/4*a^5 + 1/4*a, 1/8*a^14 - 1/8*a^12 - 1/8*a^10 - 1/4*a^9 - 1/8*a^8 - 1/8*a^6 - 3/8*a^4 + 1/8*a^2 + 1/4*a - 3/8, 1/8*a^15 - 1/8*a^13 - 1/8*a^11 - 1/8*a^9 - 1/4*a^8 - 1/8*a^7 + 1/8*a^5 - 1/2*a^4 + 1/8*a^3 + 1/8*a - 1/4, 1/8*a^16 - 1/4*a^8 + 1/8, 1/8*a^17 - 1/4*a^9 + 1/8*a, 1/8*a^18 - 1/4*a^8 - 1/8*a^2 + 1/4, 1/16*a^19 - 1/16*a^18 - 1/16*a^17 - 1/16*a^16 - 1/8*a^11 - 1/8*a^10 + 1/8*a^9 - 1/8*a^8 - 1/2*a^4 + 1/16*a^3 + 3/16*a^2 - 1/16*a - 5/16], 0, 1, [], 0, [ (9)/(8)*a^(19) - (1)/(4)*a^(18) - (21)/(8)*a^(17) + (35)/(4)*a^(16) + (9)/(4)*a^(15) - 16*a^(14) + (55)/(2)*a^(13) + a^(12) - (81)/(4)*a^(11) + 27*a^(10) + (31)/(2)*a^(9) - 26*a^(8) + (109)/(4)*a^(7) + 12*a^(6) - 16*a^(5) + 9*a^(4) + (69)/(8)*a^(3) - (19)/(4)*a^(2) + (5)/(8)*a + (9)/(4) , (5)/(8)*a^(19) - a^(18) - (3)/(4)*a^(17) + (13)/(2)*a^(16) - (51)/(8)*a^(15) - (49)/(8)*a^(14) + (209)/(8)*a^(13) - (211)/(8)*a^(12) + (31)/(8)*a^(11) + (173)/(8)*a^(10) - (115)/(8)*a^(9) - (97)/(8)*a^(8) + (259)/(8)*a^(7) - (171)/(8)*a^(6) - (9)/(8)*a^(5) + (95)/(8)*a^(4) - (9)/(2)*a^(3) - (17)/(8)*a^(2) + (25)/(8)*a + (1)/(8) , (1)/(2)*a^(19) - a^(18) + (11)/(2)*a^(16) - 8*a^(15) - a^(14) + (49)/(2)*a^(13) - 34*a^(12) + (33)/(2)*a^(11) + (39)/(2)*a^(10) - 26*a^(9) + (3)/(2)*a^(8) + (69)/(2)*a^(7) - 34*a^(6) + (21)/(2)*a^(5) + (31)/(2)*a^(4) - (29)/(2)*a^(3) + (5)/(2)*a^(2) + 4*a - (3)/(2) , a^(19) - (1)/(2)*a^(18) - (9)/(4)*a^(17) + (67)/(8)*a^(16) - (1)/(8)*a^(15) - (115)/(8)*a^(14) + (223)/(8)*a^(13) - (49)/(8)*a^(12) - (127)/(8)*a^(11) + (219)/(8)*a^(10) + (49)/(8)*a^(9) - (185)/(8)*a^(8) + (237)/(8)*a^(7) + (15)/(8)*a^(6) - (111)/(8)*a^(5) + (97)/(8)*a^(4) + (27)/(8)*a^(3) - (35)/(8)*a^(2) + (17)/(8)*a + (3)/(4) , (3)/(4)*a^(19) - (5)/(2)*a^(18) + (1)/(2)*a^(17) + (39)/(4)*a^(16) - (157)/(8)*a^(15) + (1)/(8)*a^(14) + (355)/(8)*a^(13) - (607)/(8)*a^(12) + (325)/(8)*a^(11) + (175)/(8)*a^(10) - (411)/(8)*a^(9) - (1)/(8)*a^(8) + (461)/(8)*a^(7) - (621)/(8)*a^(6) + (225)/(8)*a^(5) + (111)/(8)*a^(4) - (187)/(8)*a^(3) + (33)/(8)*a^(2) + (35)/(8)*a - (29)/(8) , (17)/(16)*a^(19) - (33)/(16)*a^(18) - (11)/(16)*a^(17) + (173)/(16)*a^(16) - (57)/(4)*a^(15) - (21)/(4)*a^(14) + (85)/(2)*a^(13) - (119)/(2)*a^(12) + (245)/(8)*a^(11) + (133)/(8)*a^(10) - (241)/(8)*a^(9) - (47)/(8)*a^(8) + (191)/(4)*a^(7) - (229)/(4)*a^(6) + (47)/(2)*a^(5) + 4*a^(4) - (211)/(16)*a^(3) + (79)/(16)*a^(2) + (13)/(16)*a - (23)/(16) , a^(19) - a^(18) - a^(17) + (17)/(2)*a^(16) - (51)/(8)*a^(15) - (21)/(4)*a^(14) + (249)/(8)*a^(13) - (135)/(4)*a^(12) + (147)/(8)*a^(11) + 16*a^(10) - (119)/(8)*a^(9) - (11)/(4)*a^(8) + (295)/(8)*a^(7) - (131)/(4)*a^(6) + (119)/(8)*a^(5) + (23)/(4)*a^(4) - (79)/(8)*a^(3) + 3*a^(2) + (15)/(8)*a - (7)/(4) , (11)/(16)*a^(19) - (9)/(16)*a^(18) - (17)/(16)*a^(17) + (93)/(16)*a^(16) - (5)/(2)*a^(15) - (25)/(4)*a^(14) + 20*a^(13) - (29)/(2)*a^(12) + (31)/(8)*a^(11) + (97)/(8)*a^(10) - (13)/(8)*a^(9) - (55)/(8)*a^(8) + 22*a^(7) - (41)/(4)*a^(6) + 4*a^(5) + 4*a^(4) + (15)/(16)*a^(3) + (15)/(16)*a^(2) + (11)/(16)*a + (9)/(16) , (1)/(8)*a^(19) - (1)/(4)*a^(18) + (3)/(8)*a^(17) + a^(16) - (19)/(8)*a^(15) + 3*a^(14) + (31)/(8)*a^(13) - (43)/(4)*a^(12) + (127)/(8)*a^(11) - (25)/(4)*a^(10) - (5)/(8)*a^(9) + (21)/(4)*a^(8) + (59)/(8)*a^(7) - (23)/(2)*a^(6) + (125)/(8)*a^(5) - (19)/(4)*a^(4) + 2*a^(3) + a^(2) + (3)/(4)*a + (1)/(4) ], 238.906276128, [[x^2 - x - 3, 1], [x^4 - x^3 + 2*x^2 + 4*x + 3, 1], [x^5 - x^4 + 2*x^3 - 4*x^2 + x - 1, 5], [x^10 - x^9 - 3*x^8 + 5*x^6 + x^5 - 5*x^4 + 3*x^2 - x - 1, 5]]]