/* 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 - 12*x^15 + 179*x^10 - 858*x^5 + 1331, 20, 125, [0, 10], 1597098119556903839111328125, [5, 11], [1, a, a^2, a^3, a^4, a^5, a^6, 1/5*a^7 - 1/5*a^6 - 1/5*a^5 + 2/5*a^2 - 2/5*a - 2/5, 1/5*a^8 - 2/5*a^6 - 1/5*a^5 + 2/5*a^3 + 1/5*a - 2/5, 1/5*a^9 + 2/5*a^6 - 2/5*a^5 + 2/5*a^4 - 1/5*a + 1/5, 1/110*a^10 + 49/110*a^5 - 1/10, 1/110*a^11 + 49/110*a^6 - 1/10*a, 1/110*a^12 + 1/22*a^7 + 2/5*a^6 + 2/5*a^5 + 1/10*a^2 - 1/5*a - 1/5, 1/110*a^13 + 1/22*a^8 - 1/5*a^6 + 2/5*a^5 + 1/10*a^3 - 2/5*a - 1/5, 1/550*a^14 - 1/275*a^13 - 1/550*a^12 + 1/275*a^11 + 1/550*a^10 + 49/550*a^9 + 6/275*a^8 - 49/550*a^7 - 61/275*a^6 - 61/550*a^5 - 21/50*a^4 + 6/25*a^3 + 21/50*a^2 + 9/25*a + 9/50, 1/550*a^15 + 1/550*a^10 + 167/550*a^5 + 4/25, 1/550*a^16 + 1/550*a^11 + 167/550*a^6 + 4/25*a, 1/550*a^17 + 1/550*a^12 - 53/550*a^7 + 2/5*a^6 + 2/5*a^5 + 9/25*a^2 - 1/5*a - 1/5, 1/6050*a^18 + 21/6050*a^13 - 503/6050*a^8 - 6/275*a^3, 1/6050*a^19 - 1/6050*a^14 - 1/550*a^13 + 1/275*a^12 + 1/550*a^11 - 1/275*a^10 - 371/6050*a^9 - 49/550*a^8 - 6/275*a^7 - 171/550*a^6 - 104/275*a^5 + 12/55*a^4 + 21/50*a^3 - 6/25*a^2 - 11/50*a + 11/25], 0, 1, [], 0, [ (1)/(550)*a^(15) - (9)/(550)*a^(10) + (227)/(550)*a^(5) - (41)/(25) , (19)/(6050)*a^(19) + (13)/(6050)*a^(18) + (2)/(275)*a^(16) - (1)/(550)*a^(15) - (92)/(3025)*a^(14) - (101)/(6050)*a^(13) - (1)/(275)*a^(12) - (37)/(550)*a^(11) + (1)/(50)*a^(10) + (1508)/(3025)*a^(9) + (351)/(1210)*a^(8) + (6)/(275)*a^(7) + (639)/(550)*a^(6) - (239)/(550)*a^(5) - (171)/(110)*a^(4) - (56)/(275)*a^(3) - (19)/(25)*a^(2) - (147)/(50)*a + (7)/(5) , (19)/(6050)*a^(19) + (4)/(3025)*a^(18) + (3)/(550)*a^(17) + (1)/(275)*a^(16) + (1)/(275)*a^(15) - (92)/(3025)*a^(14) - (48)/(3025)*a^(13) - (29)/(550)*a^(12) - (19)/(550)*a^(11) - (13)/(275)*a^(10) + (1508)/(3025)*a^(9) + (119)/(605)*a^(8) + (43)/(50)*a^(7) + (59)/(110)*a^(6) + (196)/(275)*a^(5) - (171)/(110)*a^(4) - (301)/(275)*a^(3) - (62)/(25)*a^(2) - (113)/(50)*a - (68)/(25) , (7)/(3025)*a^(19) - (3)/(3025)*a^(18) - (1)/(550)*a^(17) - (1)/(550)*a^(16) + (3)/(550)*a^(15) - (27)/(1210)*a^(14) + (17)/(6050)*a^(13) + (4)/(275)*a^(12) + (8)/(275)*a^(11) - (8)/(275)*a^(10) + (2187)/(6050)*a^(9) - (173)/(1210)*a^(8) - (83)/(275)*a^(7) - (107)/(275)*a^(6) + (9)/(11)*a^(5) - (509)/(550)*a^(4) + (39)/(550)*a^(3) + (23)/(50)*a^(2) + (3)/(2)*a - (67)/(50) , (19)/(6050)*a^(19) - (23)/(6050)*a^(18) + (1)/(275)*a^(17) - (3)/(550)*a^(16) - (92)/(3025)*a^(14) + (243)/(6050)*a^(13) - (3)/(110)*a^(12) + (21)/(550)*a^(11) - (3)/(550)*a^(10) + (1508)/(3025)*a^(9) - (3677)/(6050)*a^(8) + (271)/(550)*a^(7) - (17)/(22)*a^(6) + (73)/(550)*a^(5) - (171)/(110)*a^(4) + (109)/(55)*a^(3) - (37)/(50)*a^(2) + (36)/(25)*a + (3)/(50) , (2)/(3025)*a^(19) - (19)/(6050)*a^(18) - (1)/(275)*a^(17) - (1)/(275)*a^(16) - (1)/(550)*a^(15) - (3)/(1210)*a^(14) + (92)/(3025)*a^(13) + (17)/(550)*a^(12) + (1)/(22)*a^(11) + (2)/(55)*a^(10) + (397)/(6050)*a^(9) - (1508)/(3025)*a^(8) - (283)/(550)*a^(7) - (331)/(550)*a^(6) - (119)/(275)*a^(5) + (51)/(550)*a^(4) + (171)/(110)*a^(3) + (3)/(2)*a^(2) + (127)/(50)*a + (101)/(50) , (1)/(1210)*a^(19) + (9)/(6050)*a^(18) - (1)/(550)*a^(17) - (1)/(275)*a^(16) + (2)/(275)*a^(15) - (49)/(6050)*a^(14) - (54)/(3025)*a^(13) + (4)/(275)*a^(12) + (1)/(22)*a^(11) - (4)/(55)*a^(10) + (829)/(6050)*a^(9) + (149)/(605)*a^(8) - (83)/(275)*a^(7) - (331)/(550)*a^(6) + (301)/(275)*a^(5) - (173)/(275)*a^(4) - (581)/(550)*a^(3) + (23)/(50)*a^(2) + (127)/(50)*a - (57)/(25) , (23)/(6050)*a^(19) - (3)/(1210)*a^(18) - (1)/(550)*a^(17) + (2)/(275)*a^(16) - (4)/(275)*a^(15) - (199)/(6050)*a^(14) + (169)/(6050)*a^(13) + (3)/(275)*a^(12) - (3)/(55)*a^(11) + (7)/(55)*a^(10) + (3413)/(6050)*a^(9) - (2619)/(6050)*a^(8) - (7)/(25)*a^(7) + (271)/(275)*a^(6) - (57)/(25)*a^(5) - (402)/(275)*a^(4) + (453)/(275)*a^(3) - (3)/(10)*a^(2) - (37)/(25)*a + (134)/(25) , (9)/(3025)*a^(18) - (3)/(550)*a^(17) + (1)/(275)*a^(16) + (1)/(275)*a^(15) - (86)/(3025)*a^(13) + (27)/(550)*a^(12) - (9)/(275)*a^(11) - (13)/(550)*a^(10) + (1358)/(3025)*a^(8) - (461)/(550)*a^(7) + (172)/(275)*a^(6) + (259)/(550)*a^(5) - (438)/(275)*a^(3) + (68)/(25)*a^(2) - (42)/(25)*a - (49)/(50) ], 1387068.91153, [[x^2 - x - 1, 1], [x^4 - x^3 + x^2 - x + 1, 1]]]