/* 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 + 5*x^18 + 8*x^16 + 2*x^14 - x^12 - 11*x^10 - 37*x^8 - 34*x^6 - 5*x^4 + 4*x^2 + 1, 20, 751, [4, 8], 24890784868177585325056, [2, 11, 23], [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, 1/2*a^15 - 1/2*a^14 - 1/2*a^13 - 1/2*a^12 - 1/2*a^11 - 1/2*a^9 - 1/2*a^8 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2, 1/2*a^16 - 1/2*a^11 - 1/2*a^10 - 1/2*a^8 - 1/2*a^7 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^17 - 1/2*a^12 - 1/2*a^11 - 1/2*a^9 - 1/2*a^8 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/86722*a^18 + 8467/86722*a^16 + 7695/43361*a^14 - 1/2*a^13 + 17099/86722*a^12 - 1/2*a^11 - 1960/43361*a^10 - 1/2*a^9 - 43247/86722*a^8 - 1/2*a^7 - 16336/43361*a^6 + 42599/86722*a^4 - 1/2*a^3 + 6370/43361*a^2 - 1/2*a - 32923/86722, 1/86722*a^19 + 8467/86722*a^17 + 7695/43361*a^15 - 1/2*a^14 + 17099/86722*a^13 - 1/2*a^12 - 1960/43361*a^11 - 1/2*a^10 - 43247/86722*a^9 - 1/2*a^8 - 16336/43361*a^7 + 42599/86722*a^5 - 1/2*a^4 + 6370/43361*a^3 - 1/2*a^2 - 32923/86722*a], 0, 1, [], 0, [ a , (45808)/(43361)*a^(18) + (208996)/(43361)*a^(16) + (282148)/(43361)*a^(14) - (2112)/(43361)*a^(12) - (9459)/(43361)*a^(10) - (501540)/(43361)*a^(8) - (1464974)/(43361)*a^(6) - (997394)/(43361)*a^(4) + (41582)/(43361)*a^(2) + (88879)/(43361) , (110043)/(43361)*a^(19) + (513245)/(43361)*a^(17) + (704969)/(43361)*a^(15) - (25338)/(43361)*a^(13) - (100054)/(43361)*a^(11) - (1157174)/(43361)*a^(9) - (3689905)/(43361)*a^(7) - (2464169)/(43361)*a^(5) + (303495)/(43361)*a^(3) + (256110)/(43361)*a , (27476)/(43361)*a^(18) + (137610)/(43361)*a^(16) + (215973)/(43361)*a^(14) + (39050)/(43361)*a^(12) - (40557)/(43361)*a^(10) - (293255)/(43361)*a^(8) - (1033753)/(43361)*a^(6) - (860569)/(43361)*a^(4) - (52474)/(43361)*a^(2) + (91556)/(43361) , (89111)/(43361)*a^(19) - (48485)/(86722)*a^(18) + (411686)/(43361)*a^(17) - (240713)/(86722)*a^(16) + (560275)/(43361)*a^(15) - (187475)/(43361)*a^(14) - (36463)/(86722)*a^(13) - (69417)/(86722)*a^(12) - (127891)/(86722)*a^(11) + (26649)/(43361)*a^(10) - (1926885)/(86722)*a^(9) + (499889)/(86722)*a^(8) - (5860951)/(86722)*a^(7) + (886154)/(43361)*a^(6) - (1950501)/(43361)*a^(5) + (1519633)/(86722)*a^(4) + (383125)/(86722)*a^(3) + (54314)/(43361)*a^(2) + (484585)/(86722)*a - (106921)/(86722) , (89111)/(43361)*a^(19) + (48485)/(86722)*a^(18) + (411686)/(43361)*a^(17) + (240713)/(86722)*a^(16) + (560275)/(43361)*a^(15) + (187475)/(43361)*a^(14) - (36463)/(86722)*a^(13) + (69417)/(86722)*a^(12) - (127891)/(86722)*a^(11) - (26649)/(43361)*a^(10) - (1926885)/(86722)*a^(9) - (499889)/(86722)*a^(8) - (5860951)/(86722)*a^(7) - (886154)/(43361)*a^(6) - (1950501)/(43361)*a^(5) - (1519633)/(86722)*a^(4) + (383125)/(86722)*a^(3) - (54314)/(43361)*a^(2) + (484585)/(86722)*a + (106921)/(86722) , (85868)/(43361)*a^(19) - (202)/(43361)*a^(18) + (400718)/(43361)*a^(17) + (4851)/(86722)*a^(16) + (559016)/(43361)*a^(15) + (13212)/(43361)*a^(14) + (10111)/(43361)*a^(13) + (14882)/(43361)*a^(12) - (112317)/(86722)*a^(11) - (20677)/(86722)*a^(10) - (921215)/(43361)*a^(9) - (2695)/(86722)*a^(8) - (5725483)/(86722)*a^(7) - (34489)/(43361)*a^(6) - (2037634)/(43361)*a^(5) - (106242)/(43361)*a^(4) + (90373)/(43361)*a^(3) + (12999)/(86722)*a^(2) + (426877)/(86722)*a + (75787)/(86722) , (27321)/(86722)*a^(19) + (123655)/(86722)*a^(18) + (126055)/(86722)*a^(17) + (277936)/(43361)*a^(16) + (172017)/(86722)*a^(15) + (358329)/(43361)*a^(14) - (9635)/(86722)*a^(13) - (78959)/(86722)*a^(12) - (40011)/(86722)*a^(11) - (19171)/(43361)*a^(10) - (310925)/(86722)*a^(9) - (669923)/(43361)*a^(8) - (434693)/(43361)*a^(7) - (3884197)/(86722)*a^(6) - (306188)/(43361)*a^(5) - (2343151)/(86722)*a^(4) + (70438)/(43361)*a^(3) + (276375)/(86722)*a^(2) + (164745)/(86722)*a + (244169)/(86722) , (50352)/(43361)*a^(18) + (221837)/(43361)*a^(16) + (273015)/(43361)*a^(14) - (50529)/(43361)*a^(12) - (568)/(43361)*a^(10) - (547217)/(43361)*a^(8) - (1545200)/(43361)*a^(6) - (817598)/(43361)*a^(4) + (175290)/(43361)*a^(2) + (38856)/(43361) , (180439)/(86722)*a^(19) - (27321)/(86722)*a^(18) + (409699)/(43361)*a^(17) - (126055)/(86722)*a^(16) + (535856)/(43361)*a^(15) - (172017)/(86722)*a^(14) - (56108)/(43361)*a^(13) + (9635)/(86722)*a^(12) - (51485)/(43361)*a^(11) + (40011)/(86722)*a^(10) - (1934313)/(86722)*a^(9) + (310925)/(86722)*a^(8) - (5795183)/(86722)*a^(7) + (434693)/(43361)*a^(6) - (3552389)/(86722)*a^(5) + (306188)/(43361)*a^(4) + (286569)/(43361)*a^(3) - (70438)/(43361)*a^(2) + (384135)/(86722)*a - (164745)/(86722) , (43303)/(43361)*a^(19) + (43591)/(86722)*a^(18) + (202690)/(43361)*a^(17) + (169609)/(86722)*a^(16) + (278127)/(43361)*a^(15) + (78771)/(43361)*a^(14) - (32239)/(86722)*a^(13) - (99803)/(86722)*a^(12) - (108973)/(86722)*a^(11) + (26171)/(43361)*a^(10) - (923805)/(86722)*a^(9) - (537473)/(86722)*a^(8) - (2931003)/(86722)*a^(7) - (505205)/(43361)*a^(6) - (953107)/(43361)*a^(5) - (305343)/(86722)*a^(4) + (299961)/(86722)*a^(3) + (77548)/(43361)*a^(2) + (393549)/(86722)*a + (15885)/(86722) ], 1235.36092177, [[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^10 - 3*x^9 + 2*x^8 + 3*x^7 - 9*x^6 + 11*x^5 - 9*x^4 + 3*x^3 + 2*x^2 - 3*x + 1, 1]]]