/* 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 - 22*x^15 - 6*x^10 + 22*x^5 + 1, 20, 6, [4, 8], 7812500000000000000000000, [2, 5], [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, 1/10*a^10 + 2/5*a^5 - 1/10, 1/10*a^11 + 2/5*a^6 - 1/10*a, 1/10*a^12 + 2/5*a^6 + 2/5*a^5 + 1/10*a^2 - 1/5*a - 1/5, 1/10*a^13 - 1/5*a^6 + 2/5*a^5 + 1/10*a^3 - 2/5*a - 1/5, 1/50*a^14 - 1/25*a^13 - 1/50*a^12 + 1/25*a^11 + 1/50*a^10 + 2/25*a^9 + 1/25*a^8 - 2/25*a^7 - 6/25*a^6 - 3/25*a^5 - 21/50*a^4 + 6/25*a^3 + 21/50*a^2 + 9/25*a + 9/50, 1/50*a^15 + 1/50*a^10 + 17/50*a^5 + 13/50, 1/50*a^16 + 1/50*a^11 + 17/50*a^6 + 13/50*a, 1/50*a^17 + 1/50*a^12 - 3/50*a^7 + 2/5*a^6 + 2/5*a^5 + 23/50*a^2 - 1/5*a - 1/5, 1/50*a^18 + 1/50*a^13 - 3/50*a^8 - 1/5*a^6 + 2/5*a^5 + 23/50*a^3 - 2/5*a - 1/5, 1/50*a^19 + 1/25*a^13 + 1/50*a^12 - 1/25*a^11 - 1/50*a^10 + 3/50*a^9 - 1/25*a^8 + 2/25*a^7 - 4/25*a^6 - 12/25*a^5 + 7/25*a^4 - 6/25*a^3 - 21/50*a^2 - 4/25*a - 19/50], 0, 1, [], 0, [ a , (9)/(50)*a^(17) - (201)/(50)*a^(12) + (13)/(50)*a^(7) + (177)/(50)*a^(2) , (1)/(10)*a^(15) - (11)/(5)*a^(10) - (1)/(2)*a^(5) + (3)/(5) , (4)/(25)*a^(17) + (1)/(50)*a^(16) + (1)/(50)*a^(15) - (177)/(50)*a^(12) - (12)/(25)*a^(11) - (12)/(25)*a^(10) - (12)/(25)*a^(7) + (37)/(50)*a^(6) + (37)/(50)*a^(5) + (149)/(50)*a^(2) + (14)/(25)*a + (14)/(25) , (1)/(10)*a^(19) - (3)/(25)*a^(18) - (1)/(25)*a^(17) - (1)/(25)*a^(16) + (1)/(25)*a^(15) - (111)/(50)*a^(14) + (131)/(50)*a^(13) + (22)/(25)*a^(12) + (23)/(25)*a^(11) - (22)/(25)*a^(10) - (9)/(50)*a^(9) + (28)/(25)*a^(8) + (1)/(5)*a^(7) - (16)/(25)*a^(6) - (1)/(5)*a^(5) + (141)/(50)*a^(4) - (17)/(10)*a^(3) - (11)/(25)*a^(2) - (32)/(25)*a + (11)/(25) , (14)/(25)*a^(19) - (4)/(25)*a^(17) + (1)/(25)*a^(15) - (617)/(50)*a^(14) + (177)/(50)*a^(12) - (43)/(50)*a^(10) - (72)/(25)*a^(9) + (12)/(25)*a^(7) - (18)/(25)*a^(5) + (579)/(50)*a^(4) - (149)/(50)*a^(2) + (41)/(50) , (11)/(25)*a^(19) - (6)/(25)*a^(18) - (3)/(50)*a^(17) + (3)/(50)*a^(16) + (1)/(50)*a^(15) - (243)/(25)*a^(14) + (132)/(25)*a^(13) + (13)/(10)*a^(12) - (63)/(50)*a^(11) - (11)/(25)*a^(10) - (44)/(25)*a^(9) + (7)/(5)*a^(8) + (41)/(50)*a^(7) - (83)/(50)*a^(6) - (1)/(10)*a^(5) + (247)/(25)*a^(4) - (106)/(25)*a^(3) - (77)/(50)*a^(2) + (7)/(10)*a - (7)/(25) , (11)/(50)*a^(19) + (2)/(25)*a^(18) + (3)/(25)*a^(17) - (1)/(10)*a^(16) - (3)/(50)*a^(15) - (121)/(25)*a^(14) - (17)/(10)*a^(13) - (131)/(50)*a^(12) + (109)/(50)*a^(11) + (32)/(25)*a^(10) - (13)/(10)*a^(9) - (44)/(25)*a^(8) - (28)/(25)*a^(7) + (51)/(50)*a^(6) + (57)/(50)*a^(5) + (113)/(25)*a^(4) + (21)/(50)*a^(3) + (17)/(10)*a^(2) - (49)/(50)*a - (8)/(25) , (11)/(25)*a^(19) - (1)/(10)*a^(18) + (7)/(50)*a^(17) - (2)/(25)*a^(16) + (1)/(50)*a^(15) - (243)/(25)*a^(14) + (111)/(50)*a^(13) - (31)/(10)*a^(12) + (9)/(5)*a^(11) - (11)/(25)*a^(10) - (44)/(25)*a^(9) + (9)/(50)*a^(8) - (19)/(50)*a^(7) - (11)/(25)*a^(6) - (1)/(10)*a^(5) + (247)/(25)*a^(4) - (141)/(50)*a^(3) + (163)/(50)*a^(2) - (43)/(25)*a + (18)/(25) , (9)/(50)*a^(19) - (1)/(10)*a^(18) + (4)/(25)*a^(17) + (1)/(25)*a^(16) + (1)/(50)*a^(15) - (199)/(50)*a^(14) + (111)/(50)*a^(13) - (87)/(25)*a^(12) - (22)/(25)*a^(11) - (11)/(25)*a^(10) - (29)/(50)*a^(9) + (9)/(50)*a^(8) - (46)/(25)*a^(7) - (1)/(5)*a^(6) - (1)/(10)*a^(5) + (27)/(10)*a^(4) - (141)/(50)*a^(3) + (88)/(25)*a^(2) + (11)/(25)*a - (7)/(25) , (11)/(25)*a^(19) - (1)/(10)*a^(18) - (1)/(25)*a^(17) + (1)/(10)*a^(16) + (1)/(50)*a^(15) - (243)/(25)*a^(14) + (111)/(50)*a^(13) + (23)/(25)*a^(12) - (111)/(50)*a^(11) - (11)/(25)*a^(10) - (44)/(25)*a^(9) + (9)/(50)*a^(8) - (16)/(25)*a^(7) - (9)/(50)*a^(6) - (1)/(10)*a^(5) + (247)/(25)*a^(4) - (141)/(50)*a^(3) - (32)/(25)*a^(2) + (141)/(50)*a + (18)/(25) ], 44054.0373872, [[x^2 - x - 1, 1], [x^4 - 5*x^2 + 5, 1], [x^5 - 5*x^3 + 10*x - 4, 1], [x^10 - 5*x^9 + 10*x^8 - 5*x^7 - 15*x^6 + 32*x^5 - 15*x^4 - 5*x^3 + 10*x^2 - 5*x + 1, 1]]]