/* 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^19 + x^18 + x^17 - x^15 - 4*x^14 + 11*x^13 - 6*x^12 - 8*x^11 + 22*x^10 - 17*x^9 + 9*x^8 - 31*x^7 + 56*x^6 - 64*x^5 + 27*x^4 + 10*x^3 + 4*x^2 + x + 1, 20, 6, [0, 10], 386587549251591827392578125, [5, 103], [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, a^16, 1/54391*a^17 + 27078/54391*a^16 - 8962/54391*a^15 - 8922/54391*a^14 + 17886/54391*a^13 - 22579/54391*a^12 + 22588/54391*a^11 + 24920/54391*a^10 - 22284/54391*a^9 - 3100/54391*a^8 + 2659/54391*a^7 + 3989/54391*a^6 - 13595/54391*a^5 - 11938/54391*a^4 - 7456/54391*a^3 - 9815/54391*a^2 + 5260/54391*a - 22604/54391, 1/54391*a^18 + 18025/54391*a^16 + 25863/54391*a^15 + 2980/54391*a^14 + 12168/54391*a^13 + 7519/54391*a^12 + 13851/54391*a^11 + 23093/54391*a^10 - 10702/54391*a^9 + 19146/54391*a^8 + 17271/54391*a^7 - 7211/54391*a^6 - 4816/54391*a^5 + 3995/54391*a^4 - 15639/54391*a^3 + 21404/54391*a^2 - 2855/54391*a + 9189/54391, 1/54391*a^19 - 4644/54391*a^16 + 1760/54391*a^15 - 2969/54391*a^14 - 12174/54391*a^13 - 7527/54391*a^12 - 8972/54391*a^11 + 21567/54391*a^10 + 10711/54391*a^9 - 19177/54391*a^8 - 17215/54391*a^7 - 1639/54391*a^6 + 22415/54391*a^5 - 3985/54391*a^4 + 15643/54391*a^3 - 21403/54391*a^2 + 1202/54391*a - 5881/54391], 0, 1, [], 1, [ (19848)/(54391)*a^(19) - (41102)/(54391)*a^(18) + (20551)/(54391)*a^(17) + (20551)/(54391)*a^(16) - (22648)/(54391)*a^(14) - (82204)/(54391)*a^(13) + (226061)/(54391)*a^(12) - (123306)/(54391)*a^(11) - (164408)/(54391)*a^(10) + (439960)/(54391)*a^(9) - (349367)/(54391)*a^(8) + (184959)/(54391)*a^(7) - (637081)/(54391)*a^(6) + (1150856)/(54391)*a^(5) - (1291248)/(54391)*a^(4) + (554877)/(54391)*a^(3) + (205510)/(54391)*a^(2) + (82204)/(54391)*a - (33840)/(54391) , (8400)/(54391)*a^(19) - (8400)/(54391)*a^(18) - (5600)/(54391)*a^(17) + (8599)/(54391)*a^(16) + (16800)/(54391)*a^(15) - (8400)/(54391)*a^(14) - (44800)/(54391)*a^(13) + (56000)/(54391)*a^(12) + (35741)/(54391)*a^(11) - (75600)/(54391)*a^(10) + (70000)/(54391)*a^(9) + (36400)/(54391)*a^(8) + (16800)/(54391)*a^(7) - (281505)/(54391)*a^(6) + (282800)/(54391)*a^(5) - (179200)/(54391)*a^(4) - (67200)/(54391)*a^(3) - (25200)/(54391)*a^(2) + (380302)/(54391)*a - (5600)/(54391) , (114)/(54391)*a^(19) - (57)/(54391)*a^(18) - (57)/(54391)*a^(17) - (1243)/(54391)*a^(15) + (228)/(54391)*a^(14) - (627)/(54391)*a^(13) + (342)/(54391)*a^(12) + (456)/(54391)*a^(11) - (6148)/(54391)*a^(10) + (969)/(54391)*a^(9) - (513)/(54391)*a^(8) + (1767)/(54391)*a^(7) - (3192)/(54391)*a^(6) - (39460)/(54391)*a^(5) - (1539)/(54391)*a^(4) - (570)/(54391)*a^(3) - (228)/(54391)*a^(2) - (57)/(54391)*a + (39830)/(54391) , (23997)/(54391)*a^(19) - (36156)/(54391)*a^(18) - (959)/(54391)*a^(17) + (37249)/(54391)*a^(16) + (15528)/(54391)*a^(15) - (28772)/(54391)*a^(14) - (111117)/(54391)*a^(13) + (219553)/(54391)*a^(12) - (208)/(54391)*a^(11) - (273919)/(54391)*a^(10) + (413760)/(54391)*a^(9) - (124124)/(54391)*a^(8) + (10481)/(54391)*a^(7) - (652310)/(54391)*a^(6) + (1004664)/(54391)*a^(5) - (833215)/(54391)*a^(4) - (164853)/(54391)*a^(3) + (491007)/(54391)*a^(2) + (294404)/(54391)*a + (30650)/(54391) , (30926)/(54391)*a^(19) - (555)/(499)*a^(18) + (23331)/(54391)*a^(17) + (40033)/(54391)*a^(16) + (272)/(54391)*a^(15) - (35437)/(54391)*a^(14) - (126647)/(54391)*a^(13) + (336038)/(54391)*a^(12) - (145024)/(54391)*a^(11) - (297216)/(54391)*a^(10) + (676870)/(54391)*a^(9) - (444952)/(54391)*a^(8) + (170154)/(54391)*a^(7) - (901966)/(54391)*a^(6) + (1673816)/(54391)*a^(5) - (1738095)/(54391)*a^(4) + (556507)/(54391)*a^(3) + (562713)/(54391)*a^(2) + (115154)/(54391)*a - (58016)/(54391) , (15776)/(54391)*a^(19) - (32824)/(54391)*a^(18) + (14959)/(54391)*a^(17) + (23656)/(54391)*a^(16) - (9168)/(54391)*a^(15) - (17479)/(54391)*a^(14) - (58768)/(54391)*a^(13) + (184325)/(54391)*a^(12) - (99527)/(54391)*a^(11) - (167176)/(54391)*a^(10) + (406089)/(54391)*a^(9) - (277632)/(54391)*a^(8) + (75063)/(54391)*a^(7) - (413120)/(54391)*a^(6) + (859496)/(54391)*a^(5) - (926079)/(54391)*a^(4) + (243480)/(54391)*a^(3) + (423103)/(54391)*a^(2) - (151099)/(54391)*a + (60751)/(54391) , (549)/(54391)*a^(19) + (979)/(54391)*a^(18) - (8847)/(54391)*a^(17) + (9510)/(54391)*a^(16) - (6352)/(54391)*a^(14) - (6613)/(54391)*a^(13) - (2021)/(54391)*a^(12) + (37221)/(54391)*a^(11) - (56081)/(54391)*a^(10) + (11)/(109)*a^(9) + (69747)/(54391)*a^(8) - (130336)/(54391)*a^(7) + (45173)/(54391)*a^(6) - (61696)/(54391)*a^(5) + (188556)/(54391)*a^(4) - (317487)/(54391)*a^(3) + (309414)/(54391)*a^(2) + (9578)/(54391)*a - (16203)/(54391) , (12777)/(54391)*a^(19) - (23189)/(54391)*a^(18) + (6482)/(54391)*a^(17) + (17142)/(54391)*a^(16) - (11416)/(54391)*a^(14) - (51133)/(54391)*a^(13) + (128149)/(54391)*a^(12) - (50547)/(54391)*a^(11) - (126041)/(54391)*a^(10) + (278799)/(54391)*a^(9) - (163029)/(54391)*a^(8) + (32945)/(54391)*a^(7) - (342787)/(54391)*a^(6) + (630272)/(54391)*a^(5) - (654966)/(54391)*a^(4) + (144249)/(54391)*a^(3) + (335322)/(54391)*a^(2) - (31788)/(54391)*a + (2877)/(54391) , (10261)/(54391)*a^(19) - (18206)/(54391)*a^(18) + (5905)/(54391)*a^(17) + (12626)/(54391)*a^(16) + (4490)/(54391)*a^(15) - (11533)/(54391)*a^(14) - (42235)/(54391)*a^(13) + (104034)/(54391)*a^(12) - (31342)/(54391)*a^(11) - (90557)/(54391)*a^(10) + (195783)/(54391)*a^(9) - (107622)/(54391)*a^(8) + (54185)/(54391)*a^(7) - (295581)/(54391)*a^(6) + (529131)/(54391)*a^(5) - (547320)/(54391)*a^(4) + (183934)/(54391)*a^(3) + (68197)/(54391)*a^(2) + (133511)/(54391)*a - (14646)/(54391) ], 661565.5195213907, [[x^2 - x - 1, 1], [x^4 - x^3 + x^2 - x + 1, 1], [x^5 - 2*x^4 + 3*x^3 - 3*x^2 + x + 1, 1], [x^10 - 2*x^9 + 5*x^8 - 6*x^7 - 2*x^6 + 10*x^5 + 14*x^4 + 15*x^3 + 10*x^2 + x - 1, 1]]]