/* 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^18 - 6*x^17 - x^16 - 4*x^15 + 15*x^14 + 7*x^13 + 10*x^12 - 17*x^11 - 11*x^10 - 17*x^9 + 10*x^8 + 7*x^7 + 15*x^6 - 4*x^5 - x^4 - 6*x^3 + x^2 + 1, 20, 279, [0, 10], 902558723428708305129, [3, 11119], [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, 1/3*a^14 + 1/3*a^12 + 1/3*a^11 - 1/3*a^10 - 1/3*a^4 + 1/3*a^3 + 1/3*a^2 + 1/3, 1/3*a^15 + 1/3*a^13 + 1/3*a^12 - 1/3*a^11 - 1/3*a^5 + 1/3*a^4 + 1/3*a^3 + 1/3*a, 1/9*a^16 - 1/9*a^15 - 1/9*a^14 - 4/9*a^12 + 2/9*a^11 + 2/9*a^10 - 1/3*a^8 - 1/9*a^6 - 4/9*a^5 + 2/9*a^4 - 1/3*a^3 - 1/9*a^2 - 1/9*a - 2/9, 1/9*a^17 + 1/9*a^15 - 1/9*a^14 - 1/9*a^13 + 1/9*a^12 + 1/9*a^11 + 2/9*a^10 - 1/3*a^9 - 1/3*a^8 - 1/9*a^7 + 4/9*a^6 + 4/9*a^5 + 2/9*a^4 - 1/9*a^3 - 2/9*a^2 - 2/9, 1/27*a^18 + 1/27*a^17 + 1/27*a^16 + 1/9*a^15 + 1/27*a^14 + 1/9*a^13 + 8/27*a^12 + 1/9*a^11 - 13/27*a^10 + 1/9*a^9 - 4/27*a^8 + 1/9*a^7 - 10/27*a^6 + 4/9*a^5 - 8/27*a^4 + 4/9*a^3 + 10/27*a^2 + 10/27*a + 10/27, 1/27*a^19 - 1/27*a^16 + 1/27*a^15 - 4/27*a^14 + 5/27*a^13 - 2/27*a^12 - 4/27*a^11 - 8/27*a^10 - 7/27*a^9 - 11/27*a^8 - 13/27*a^7 - 2/27*a^6 - 8/27*a^5 - 4/27*a^4 - 2/27*a^3 - 2/9*a^2 + 1/9*a - 13/27], 0, 1, [], 0, [ a , (38)/(27)*a^(19) - (64)/(27)*a^(18) + (68)/(27)*a^(17) - (91)/(9)*a^(16) + (356)/(27)*a^(15) - (80)/(9)*a^(14) + (667)/(27)*a^(13) - (236)/(9)*a^(12) + (283)/(27)*a^(11) - 28*a^(10) + (793)/(27)*a^(9) - (35)/(3)*a^(8) + (775)/(27)*a^(7) - (236)/(9)*a^(6) + (257)/(27)*a^(5) - (194)/(9)*a^(4) + (491)/(27)*a^(3) - (133)/(27)*a^(2) + (176)/(27)*a - (31)/(9) , (5)/(3)*a^(19) + (29)/(27)*a^(18) + (29)/(27)*a^(17) - (226)/(27)*a^(16) - (25)/(3)*a^(15) - (94)/(27)*a^(14) + (167)/(9)*a^(13) + (748)/(27)*a^(12) + (37)/(3)*a^(11) - (437)/(27)*a^(10) - (310)/(9)*a^(9) - (602)/(27)*a^(8) + (23)/(9)*a^(7) + (640)/(27)*a^(6) + (50)/(3)*a^(5) + (77)/(27)*a^(4) - (97)/(9)*a^(3) - (58)/(27)*a^(2) - (40)/(27)*a + (80)/(27) , (67)/(27)*a^(19) - (5)/(3)*a^(18) + (7)/(3)*a^(17) - (418)/(27)*a^(16) + (193)/(27)*a^(15) - (169)/(27)*a^(14) + (1019)/(27)*a^(13) - (179)/(27)*a^(12) + (191)/(27)*a^(11) - (1211)/(27)*a^(10) + (71)/(27)*a^(9) - (368)/(27)*a^(8) + (1046)/(27)*a^(7) - (26)/(27)*a^(6) + (355)/(27)*a^(5) - (673)/(27)*a^(4) + (91)/(27)*a^(3) - (47)/(9)*a^(2) + (49)/(9)*a - (7)/(27) , (64)/(27)*a^(19) + (2)/(3)*a^(18) + (5)/(3)*a^(17) - (346)/(27)*a^(16) - (176)/(27)*a^(15) - (154)/(27)*a^(14) + (806)/(27)*a^(13) + (676)/(27)*a^(12) + (467)/(27)*a^(11) - (806)/(27)*a^(10) - (826)/(27)*a^(9) - (848)/(27)*a^(8) + (302)/(27)*a^(7) + (478)/(27)*a^(6) + (607)/(27)*a^(5) - (82)/(27)*a^(4) - (92)/(27)*a^(3) - (31)/(9)*a^(2) + (8)/(9)*a + (2)/(27) , (29)/(27)*a^(19) - (13)/(9)*a^(18) + (11)/(9)*a^(17) - (194)/(27)*a^(16) + (200)/(27)*a^(15) - (83)/(27)*a^(14) + (478)/(27)*a^(13) - (361)/(27)*a^(12) + (28)/(27)*a^(11) - (607)/(27)*a^(10) + (355)/(27)*a^(9) - (55)/(27)*a^(8) + (649)/(27)*a^(7) - (199)/(27)*a^(6) + (83)/(27)*a^(5) - (461)/(27)*a^(4) + (131)/(27)*a^(3) - (26)/(9)*a^(2) + (34)/(9)*a - (20)/(27) , (83)/(27)*a^(19) - (26)/(27)*a^(18) + (49)/(27)*a^(17) - (499)/(27)*a^(16) + (38)/(27)*a^(15) - (88)/(27)*a^(14) + (1234)/(27)*a^(13) + (298)/(27)*a^(12) + (109)/(27)*a^(11) - (1532)/(27)*a^(10) - (614)/(27)*a^(9) - (485)/(27)*a^(8) + (1171)/(27)*a^(7) + (568)/(27)*a^(6) + (533)/(27)*a^(5) - (628)/(27)*a^(4) - (211)/(27)*a^(3) - (131)/(27)*a^(2) + (136)/(27)*a + (56)/(27) , (4)/(27)*a^(19) - (38)/(27)*a^(18) + (19)/(27)*a^(17) - 2*a^(16) + (220)/(27)*a^(15) - 2*a^(14) + (137)/(27)*a^(13) - (55)/(3)*a^(12) - (43)/(27)*a^(11) - (65)/(9)*a^(10) + (524)/(27)*a^(9) + 4*a^(8) + (344)/(27)*a^(7) - (40)/(3)*a^(6) - (41)/(27)*a^(5) - 10*a^(4) + (199)/(27)*a^(3) - (56)/(27)*a^(2) + (40)/(27)*a - (2)/(3) , (2)/(3)*a^(19) - (11)/(27)*a^(18) + (4)/(27)*a^(17) - (104)/(27)*a^(16) + (10)/(9)*a^(15) + (31)/(27)*a^(14) + (80)/(9)*a^(13) + (11)/(27)*a^(12) - (38)/(9)*a^(11) - (310)/(27)*a^(10) - (14)/(9)*a^(9) + (53)/(27)*a^(8) + (95)/(9)*a^(7) + (47)/(27)*a^(6) - (11)/(9)*a^(5) - (176)/(27)*a^(4) - (1)/(9)*a^(3) + (43)/(27)*a^(2) + (55)/(27)*a - (8)/(27) ], 293.866842819, [[x^2 - x + 1, 1], [x^5 - 2*x^4 + x^3 + x^2 - 3*x + 1, 1], [x^10 - 2*x^9 + 3*x^8 - 4*x^7 + 6*x^6 - 10*x^5 + 6*x^4 - 5*x^3 + 8*x^2 - 3*x + 1, 1], [x^10 - x^8 - 3*x^7 + 2*x^6 + x^5 + 2*x^4 - 3*x^3 - x^2 + 1, 1], [x^10 - 2*x^9 - 2*x^8 + 5*x^7 + x^6 - 3*x^5 - 2*x^3 - x^2 + 3*x + 1, 1]]]