/* 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^18 - 11*x^16 + 14*x^14 + 39*x^12 - 31*x^10 - 65*x^8 + 9*x^6 + 61*x^4 + 30*x^2 + 4, 20, 1025, [4, 8], 124070120141982925824000000000000, [2, 3, 5, 691], [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^10 + 1/3*a^8 - 1/3*a^6 + 1/3*a^4 + 1/3, 1/3*a^15 + 1/3*a^13 + 1/3*a^11 + 1/3*a^9 - 1/3*a^7 + 1/3*a^5 + 1/3*a, 1/3*a^16 + 1/3*a^8 - 1/3*a^6 - 1/3*a^4 + 1/3*a^2 - 1/3, 1/3*a^17 + 1/3*a^9 - 1/3*a^7 - 1/3*a^5 + 1/3*a^3 - 1/3*a, 1/798*a^18 + 8/133*a^16 - 5/798*a^14 - 118/399*a^12 + 11/42*a^10 + 15/266*a^8 - 11/42*a^6 - 67/798*a^4 - 97/798*a^2 - 16/399, 1/798*a^19 + 8/133*a^17 - 5/798*a^15 - 118/399*a^13 + 11/42*a^11 + 15/266*a^9 - 11/42*a^7 - 67/798*a^5 - 97/798*a^3 - 16/399*a], 0, 1, [], 1, [ (349)/(798)*a^(18) - (134)/(133)*a^(16) - (3607)/(798)*a^(14) + (2974)/(399)*a^(12) + (211)/(14)*a^(10) - (14087)/(798)*a^(8) - (337)/(14)*a^(6) + (2757)/(266)*a^(4) + (19613)/(798)*a^(2) + (2662)/(399) , (13)/(399)*a^(18) - (41)/(399)*a^(16) - (65)/(399)*a^(14) + (124)/(399)*a^(12) + (17)/(21)*a^(10) - (80)/(399)*a^(8) - (22)/(7)*a^(6) + (592)/(399)*a^(4) + (156)/(133)*a^(2) + (83)/(133) , (25)/(266)*a^(18) - (62)/(399)*a^(16) - (907)/(798)*a^(14) + (460)/(399)*a^(12) + (167)/(42)*a^(10) - (1679)/(798)*a^(8) - (265)/(42)*a^(6) - (611)/(266)*a^(4) + (5759)/(798)*a^(2) + (664)/(133) , (554)/(399)*a^(18) - (446)/(133)*a^(16) - (5563)/(399)*a^(14) + (10103)/(399)*a^(12) + (928)/(21)*a^(10) - (8182)/(133)*a^(8) - (1390)/(21)*a^(6) + (15550)/(399)*a^(4) + (28057)/(399)*a^(2) + (5813)/(399) , (13)/(399)*a^(18) - (41)/(399)*a^(16) - (65)/(399)*a^(14) + (124)/(399)*a^(12) + (17)/(21)*a^(10) - (80)/(399)*a^(8) - (22)/(7)*a^(6) + (592)/(399)*a^(4) + (289)/(133)*a^(2) + (83)/(133) , (485)/(798)*a^(18) - (596)/(399)*a^(16) - (4819)/(798)*a^(14) + (4615)/(399)*a^(12) + (757)/(42)*a^(10) - (22597)/(798)*a^(8) - (341)/(14)*a^(6) + (13523)/(798)*a^(4) + (7283)/(266)*a^(2) + (694)/(133) , (15)/(38)*a^(18) - (41)/(57)*a^(16) - (529)/(114)*a^(14) + (295)/(57)*a^(12) + (107)/(6)*a^(10) - (1433)/(114)*a^(8) - (193)/(6)*a^(6) + (249)/(38)*a^(4) + (3425)/(114)*a^(2) + (178)/(19) , (97)/(798)*a^(19) - (4)/(21)*a^(18) - (22)/(133)*a^(17) + (4)/(21)*a^(16) - (339)/(266)*a^(15) + (16)/(7)*a^(14) + (86)/(133)*a^(13) - (5)/(7)*a^(12) + (157)/(42)*a^(11) - (157)/(21)*a^(10) - (955)/(798)*a^(9) + (23)/(21)*a^(8) - (241)/(42)*a^(7) + (78)/(7)*a^(6) - (647)/(798)*a^(5) + (79)/(21)*a^(4) + (1763)/(798)*a^(3) - (130)/(21)*a^(2) + (59)/(133)*a - (61)/(21) , (68)/(57)*a^(19) + (443)/(399)*a^(18) - (52)/(19)*a^(17) - (947)/(399)*a^(16) - (240)/(19)*a^(15) - (4609)/(399)*a^(14) + (395)/(19)*a^(13) + (6773)/(399)*a^(12) + (131)/(3)*a^(11) + (778)/(21)*a^(10) - (2906)/(57)*a^(9) - (16241)/(399)*a^(8) - (212)/(3)*a^(7) - (1163)/(21)*a^(6) + (1904)/(57)*a^(5) + (2963)/(133)*a^(4) + (4120)/(57)*a^(3) + (20204)/(399)*a^(2) + (383)/(19)*a + (5641)/(399) , (1067)/(399)*a^(19) - (125)/(399)*a^(18) - (2516)/(399)*a^(17) + (517)/(399)*a^(16) - (3596)/(133)*a^(15) + (625)/(399)*a^(14) + (6281)/(133)*a^(13) - (4016)/(399)*a^(12) + (1790)/(21)*a^(11) + (32)/(21)*a^(10) - (45883)/(399)*a^(9) + (8872)/(399)*a^(8) - (858)/(7)*a^(7) - (69)/(7)*a^(6) + (29059)/(399)*a^(5) - (3728)/(399)*a^(4) + (48653)/(399)*a^(3) - (436)/(133)*a^(2) + (13337)/(399)*a - (41)/(133) , (1325)/(798)*a^(19) - (281)/(266)*a^(18) - (572)/(133)*a^(17) + (1181)/(399)*a^(16) - (12211)/(798)*a^(15) + (7673)/(798)*a^(14) + (12427)/(399)*a^(13) - (9320)/(399)*a^(12) + (1807)/(42)*a^(11) - (1069)/(42)*a^(10) - (18429)/(266)*a^(9) + (15551)/(266)*a^(8) - (2563)/(42)*a^(7) + (361)/(14)*a^(6) + (26137)/(798)*a^(5) - (33161)/(798)*a^(4) + (63793)/(798)*a^(3) - (22235)/(798)*a^(2) + (7129)/(399)*a - (1408)/(399) ], 168735808.565, [[x^2 - x - 1, 1], [x^10 - x^9 - 9*x^8 + 8*x^7 + 39*x^6 - 3*x^5 - 75*x^4 - 22*x^3 + 51*x^2 + 20*x - 4, 1]]]