/* 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 + 6*x^18 + 18*x^16 + 39*x^14 + 65*x^12 + 73*x^10 + 45*x^8 + 4*x^6 - 11*x^4 - 2*x^2 + 1, 20, 799, [0, 10], 2948433986992424882176, [2, 41, 4549], [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, a^14, a^15, 1/2*a^16 - 1/2*a^13 - 1/2*a^12 - 1/2*a^6 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^17 - 1/2*a^14 - 1/2*a^13 - 1/2*a^7 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/3358*a^18 - 17/73*a^16 - 1/2*a^15 + 41/3358*a^14 - 8/73*a^12 - 209/1679*a^10 + 373/3358*a^8 + 1625/3358*a^6 - 1/2*a^5 + 581/3358*a^4 - 1/2*a^3 - 1151/3358*a^2 + 163/1679, 1/3358*a^19 - 17/73*a^17 + 41/3358*a^15 + 57/146*a^13 - 1/2*a^12 - 209/1679*a^11 + 373/3358*a^9 + 1625/3358*a^7 + 581/3358*a^5 + 264/1679*a^3 - 1/2*a^2 - 1353/3358*a - 1/2], 0, 1, [], 0, [ (1157)/(1679)*a^(19) + (301)/(73)*a^(17) + (20573)/(1679)*a^(15) + (1928)/(73)*a^(13) + (73802)/(1679)*a^(11) + (82329)/(1679)*a^(9) + (50015)/(1679)*a^(7) + (5654)/(1679)*a^(5) - (10334)/(1679)*a^(3) - (2272)/(1679)*a , (1632)/(1679)*a^(19) + (430)/(73)*a^(17) + (29974)/(1679)*a^(15) + (2869)/(73)*a^(13) + (111991)/(1679)*a^(11) + (130221)/(1679)*a^(9) + (89846)/(1679)*a^(7) + (23063)/(1679)*a^(5) - (9705)/(1679)*a^(3) - (1890)/(1679)*a , (1224)/(1679)*a^(18) + (286)/(73)*a^(16) + (18283)/(1679)*a^(14) + (1659)/(73)*a^(12) + (60907)/(1679)*a^(10) + (61987)/(1679)*a^(8) + (32965)/(1679)*a^(6) + (927)/(1679)*a^(4) - (6859)/(1679)*a^(2) - (578)/(1679) , a^(19) + 6*a^(17) + 18*a^(15) + 39*a^(13) + 65*a^(11) + 73*a^(9) + 45*a^(7) + 4*a^(5) - 11*a^(3) - 2*a , (578)/(1679)*a^(19) + (204)/(73)*a^(17) + (16982)/(1679)*a^(15) + (1775)/(73)*a^(13) + (75727)/(1679)*a^(11) + (103101)/(1679)*a^(9) + (87997)/(1679)*a^(7) + (35277)/(1679)*a^(5) - (5431)/(1679)*a^(3) - (6336)/(1679)*a , (641)/(1679)*a^(19) + (853)/(1679)*a^(18) + (179)/(73)*a^(17) + (469)/(146)*a^(16) + (12849)/(1679)*a^(15) + (16504)/(1679)*a^(14) + (2483)/(146)*a^(13) + (3145)/(146)*a^(12) + (49393)/(1679)*a^(11) + (61517)/(1679)*a^(10) + (59440)/(1679)*a^(9) + (71356)/(1679)*a^(8) + (42620)/(1679)*a^(7) + (94245)/(3358)*a^(6) + (13115)/(1679)*a^(5) + (19045)/(3358)*a^(4) - (3099)/(3358)*a^(3) - (14287)/(3358)*a^(2) - (139)/(3358)*a - (2951)/(3358) , (577)/(1679)*a^(19) - (187)/(3358)*a^(18) + (257)/(146)*a^(17) - (33)/(73)*a^(16) + (15413)/(3358)*a^(15) - (2994)/(1679)*a^(14) + (1319)/(146)*a^(13) - (329)/(73)*a^(12) + (22417)/(1679)*a^(11) - (14645)/(1679)*a^(10) + (18778)/(1679)*a^(9) - (42887)/(3358)*a^(8) + (6523)/(3358)*a^(7) - (41951)/(3358)*a^(6) - (7279)/(1679)*a^(5) - (11509)/(1679)*a^(4) - (2601)/(1679)*a^(3) - (2356)/(1679)*a^(2) + (5145)/(3358)*a + (1420)/(1679) , (1147)/(1679)*a^(19) + (633)/(3358)*a^(18) + (625)/(146)*a^(17) + (159)/(146)*a^(16) + (45363)/(3358)*a^(15) + (5421)/(1679)*a^(14) + (2234)/(73)*a^(13) + (1041)/(146)*a^(12) + (89735)/(1679)*a^(11) + (20492)/(1679)*a^(10) + (110500)/(1679)*a^(9) + (48061)/(3358)*a^(8) + (169949)/(3358)*a^(7) + (18168)/(1679)*a^(6) + (30066)/(1679)*a^(5) + (15183)/(3358)*a^(4) - (9401)/(3358)*a^(3) + (103)/(3358)*a^(2) - (5532)/(1679)*a - (3517)/(3358) , (1222)/(1679)*a^(19) - (187)/(3358)*a^(18) + (635)/(146)*a^(17) - (33)/(73)*a^(16) + (44797)/(3358)*a^(15) - (2994)/(1679)*a^(14) + (4331)/(146)*a^(13) - (329)/(73)*a^(12) + (85249)/(1679)*a^(11) - (14645)/(1679)*a^(10) + (101537)/(1679)*a^(9) - (42887)/(3358)*a^(8) + (148417)/(3358)*a^(7) - (41951)/(3358)*a^(6) + (23271)/(1679)*a^(5) - (11509)/(1679)*a^(4) - (4557)/(1679)*a^(3) - (2356)/(1679)*a^(2) - (7497)/(3358)*a + (1420)/(1679) ], 198.57668435, [[x^5 - x^4 + 2*x^3 - 2*x^2 - 1, 1], [x^10 + x^8 - 2*x^6 - 2*x^4 + 2*x^2 + 1, 1], [x^10 - 3*x^9 + 2*x^8 + 5*x^7 - 15*x^5 + 9*x^4 + 22*x^3 + 9*x^2 - 3*x + 1, 1], [x^10 - x^7 - 3*x^6 + 3*x^5 + 3*x^4 - x^3 - 1, 1]]]