/* 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 - 54*x^15 + 781*x^10 - 2904*x^5 + 161051, 20, 26, [0, 10], 23383113568432629108428955078125, [5, 11], [1, a, a^2, a^3, a^4, a^5, a^6, 1/5*a^7 - 2/5*a^6 + 1/5*a^5 - 1/5*a^2 + 2/5*a - 1/5, 1/5*a^8 + 2/5*a^6 + 2/5*a^5 - 1/5*a^3 - 2/5*a - 2/5, 1/5*a^9 + 1/5*a^6 - 2/5*a^5 - 1/5*a^4 - 1/5*a + 2/5, 1/110*a^10 + 23/110*a^5 + 1/10, 1/110*a^11 + 23/110*a^6 + 1/10*a, 1/1210*a^12 - 21/1210*a^7 - 1/5*a^6 - 2/5*a^5 - 5/22*a^2 + 1/5*a + 2/5, 1/1210*a^13 - 21/1210*a^8 + 1/5*a^6 + 1/5*a^5 - 5/22*a^3 - 1/5*a - 1/5, 1/66550*a^14 + 1/6050*a^13 + 1/6050*a^12 + 1/550*a^11 + 1/550*a^10 - 5587/66550*a^9 + 463/6050*a^8 + 463/6050*a^7 - 87/550*a^6 - 87/550*a^5 + 1801/6050*a^4 + 151/550*a^3 + 151/550*a^2 + 1/50*a + 1/50, 1/732050*a^15 - 263/732050*a^10 - 28207/66550*a^5 + 2/25, 1/732050*a^16 - 263/732050*a^11 - 28207/66550*a^6 + 2/25*a, 1/732050*a^17 - 263/732050*a^12 - 1587/66550*a^7 + 1/5*a^6 + 2/5*a^5 - 8/25*a^2 - 1/5*a - 2/5, 1/732050*a^18 - 263/732050*a^13 - 1587/66550*a^8 - 1/5*a^6 - 1/5*a^5 - 8/25*a^3 + 1/5*a + 1/5, 1/732050*a^19 + 1/732050*a^14 - 1/6050*a^13 - 1/6050*a^12 - 1/550*a^11 - 1/550*a^10 - 103/2662*a^9 - 463/6050*a^8 - 463/6050*a^7 - 243/550*a^6 + 197/550*a^5 - 531/3025*a^4 - 151/550*a^3 - 151/550*a^2 - 21/50*a - 11/50], 0, 5, [5], 1, [ (6)/(73205)*a^(15) - (247)/(73205)*a^(10) - (84)/(6655)*a^(5) , (3)/(73205)*a^(19) - (2)/(366025)*a^(18) - (9)/(146410)*a^(17) + (59)/(366025)*a^(16) - (1)/(29282)*a^(15) - (876)/(366025)*a^(14) + (81)/(73205)*a^(13) + (1913)/(732050)*a^(12) - (3538)/(366025)*a^(11) + (3913)/(732050)*a^(10) + (1312)/(33275)*a^(9) - (1919)/(33275)*a^(8) - (151)/(66550)*a^(7) + (4619)/(33275)*a^(6) - (19131)/(66550)*a^(5) - (276)/(3025)*a^(4) + (201)/(275)*a^(3) - (361)/(275)*a^(2) - (1)/(5)*a + (79)/(25) , (4)/(366025)*a^(19) + (1)/(33275)*a^(18) + (7)/(146410)*a^(17) + (61)/(732050)*a^(16) + (14)/(366025)*a^(15) - (29)/(366025)*a^(14) - (3)/(2662)*a^(13) - (307)/(366025)*a^(12) - (701)/(366025)*a^(11) + (311)/(366025)*a^(10) - (194)/(33275)*a^(9) + (79)/(6050)*a^(8) - (36)/(33275)*a^(7) + (178)/(33275)*a^(6) - (559)/(33275)*a^(5) + (29)/(3025)*a^(4) - (101)/(550)*a^(3) - (59)/(550)*a^(2) - (1)/(2)*a - (11)/(25) , (1)/(146410)*a^(19) - (2)/(366025)*a^(18) - (1)/(73205)*a^(17) + (61)/(732050)*a^(16) - (38)/(366025)*a^(15) - (102)/(366025)*a^(14) + (284)/(366025)*a^(13) - (137)/(366025)*a^(12) - (701)/(366025)*a^(11) + (677)/(366025)*a^(10) + (54)/(33275)*a^(9) - (357)/(33275)*a^(8) + (59)/(33275)*a^(7) + (178)/(33275)*a^(6) + (179)/(6655)*a^(5) - (809)/(6050)*a^(4) - (1)/(55)*a^(3) + (3)/(275)*a^(2) - (1)/(2)*a + (1)/(25) , (1)/(366025)*a^(19) - (3)/(732050)*a^(18) - (7)/(146410)*a^(17) - (1)/(366025)*a^(16) + (38)/(366025)*a^(15) + (123)/(732050)*a^(14) + (63)/(732050)*a^(13) + (307)/(366025)*a^(12) - (161)/(146410)*a^(11) - (677)/(366025)*a^(10) - (57)/(66550)*a^(9) + (823)/(66550)*a^(8) + (36)/(33275)*a^(7) + (391)/(66550)*a^(6) - (179)/(6655)*a^(5) - (463)/(6050)*a^(4) - (24)/(275)*a^(3) + (59)/(550)*a^(2) - (9)/(50)*a - (1)/(25) , (7)/(366025)*a^(19) - (1)/(33275)*a^(18) + (1)/(73205)*a^(17) - (1)/(366025)*a^(16) - (47)/(366025)*a^(15) - (503)/(732050)*a^(14) + (3)/(2662)*a^(13) + (137)/(366025)*a^(12) - (161)/(146410)*a^(11) + (1713)/(366025)*a^(10) + (269)/(66550)*a^(9) - (79)/(6050)*a^(8) - (59)/(33275)*a^(7) + (391)/(66550)*a^(6) - (183)/(6655)*a^(5) - (59)/(1210)*a^(4) + (101)/(550)*a^(3) - (3)/(275)*a^(2) - (9)/(50)*a + (14)/(25) , (4)/(73205)*a^(19) - (3)/(73205)*a^(18) - (13)/(146410)*a^(17) + (151)/(732050)*a^(16) - (13)/(73205)*a^(15) - (1146)/(366025)*a^(14) + (2203)/(732050)*a^(13) + (2333)/(732050)*a^(12) - (182)/(14641)*a^(11) + (11563)/(732050)*a^(10) + (1667)/(33275)*a^(9) - (5421)/(66550)*a^(8) + (899)/(66550)*a^(7) + (5356)/(33275)*a^(6) - (27341)/(66550)*a^(5) + (19)/(275)*a^(4) + (493)/(550)*a^(3) - (411)/(275)*a^(2) + (37)/(50)*a + (123)/(50) , (3)/(73205)*a^(19) - (16)/(366025)*a^(18) - (89)/(732050)*a^(17) + (37)/(366025)*a^(16) + (271)/(732050)*a^(15) - (876)/(366025)*a^(14) + (457)/(366025)*a^(13) + (1003)/(146410)*a^(12) - (2159)/(732050)*a^(11) - (1404)/(73205)*a^(10) + (1312)/(33275)*a^(9) + (609)/(33275)*a^(8) - (7323)/(66550)*a^(7) - (1399)/(66550)*a^(6) + (11171)/(33275)*a^(5) - (276)/(3025)*a^(4) - (43)/(55)*a^(3) + (96)/(275)*a^(2) + (89)/(50)*a - (123)/(50) , (23)/(732050)*a^(19) + (16)/(366025)*a^(18) - (9)/(146410)*a^(17) - (59)/(366025)*a^(16) - (119)/(732050)*a^(15) - (1407)/(732050)*a^(14) - (457)/(366025)*a^(13) + (1501)/(366025)*a^(12) + (3538)/(366025)*a^(11) + (7339)/(732050)*a^(10) + (317)/(13310)*a^(9) - (609)/(33275)*a^(8) - (3777)/(33275)*a^(7) - (4619)/(33275)*a^(6) - (7651)/(66550)*a^(5) + (797)/(3025)*a^(4) + (43)/(55)*a^(3) + (527)/(550)*a^(2) + (1)/(5)*a - (87)/(25) ], 69020367.6146, [[x^2 - x - 1, 1], [x^4 - x^3 + x^2 - x + 1, 1]]]