/* 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 + 3*x^18 - 6*x^17 + 8*x^16 - 9*x^15 + 11*x^14 - 10*x^13 + 6*x^12 - 5*x^11 + x^10 + 4*x^9 - 4*x^8 + 5*x^7 - 5*x^6 + 3*x^5 - x^4 + x^2 - x + 1, 20, 1021, [0, 10], 3301013298634667867241, [3, 236438047], [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, a^17, a^18, 1/59*a^19 - 26/59*a^18 - 22/59*a^17 - 9/59*a^16 - 12/59*a^15 - 16/59*a^14 - 18/59*a^13 + 9/59*a^12 + 26/59*a^11 + 20/59*a^10 - 7/59*a^9 - 5/59*a^8 - 2/59*a^7 - 6/59*a^6 + 21/59*a^5 - 29/59*a^4 - 13/59*a^3 + 17/59*a^2 + 6/59*a - 27/59], 0, 1, [], 1, [ (17)/(59)*a^(19) - (29)/(59)*a^(18) + (39)/(59)*a^(17) - (94)/(59)*a^(16) + (150)/(59)*a^(15) - (154)/(59)*a^(14) + (225)/(59)*a^(13) - (260)/(59)*a^(12) + (206)/(59)*a^(11) - (250)/(59)*a^(10) + (235)/(59)*a^(9) - (85)/(59)*a^(8) + (84)/(59)*a^(7) - (102)/(59)*a^(6) - (56)/(59)*a^(5) + (38)/(59)*a^(4) - (44)/(59)*a^(3) + (53)/(59)*a^(2) - (75)/(59)*a + (13)/(59) , (1)/(59)*a^(19) + (33)/(59)*a^(18) - (81)/(59)*a^(17) + (109)/(59)*a^(16) - (189)/(59)*a^(15) + (279)/(59)*a^(14) - (313)/(59)*a^(13) + (363)/(59)*a^(12) - (387)/(59)*a^(11) + (256)/(59)*a^(10) - (243)/(59)*a^(9) + (231)/(59)*a^(8) - (61)/(59)*a^(7) - (6)/(59)*a^(6) + (21)/(59)*a^(5) - (88)/(59)*a^(4) + (105)/(59)*a^(3) - (42)/(59)*a^(2) + (65)/(59)*a - (27)/(59) , (39)/(59)*a^(19) - (129)/(59)*a^(18) + (204)/(59)*a^(17) - (351)/(59)*a^(16) + (535)/(59)*a^(15) - (624)/(59)*a^(14) + (714)/(59)*a^(13) - (711)/(59)*a^(12) + (483)/(59)*a^(11) - (282)/(59)*a^(10) + (140)/(59)*a^(9) + (159)/(59)*a^(8) - (255)/(59)*a^(7) + (238)/(59)*a^(6) - (243)/(59)*a^(5) + (108)/(59)*a^(4) - (35)/(59)*a^(3) - (45)/(59)*a^(2) + (57)/(59)*a - (50)/(59) , (13)/(59)*a^(19) - (43)/(59)*a^(18) + (68)/(59)*a^(17) - (117)/(59)*a^(16) + (139)/(59)*a^(15) - (149)/(59)*a^(14) + (179)/(59)*a^(13) - (119)/(59)*a^(12) + (43)/(59)*a^(11) - (35)/(59)*a^(10) - (32)/(59)*a^(9) + (53)/(59)*a^(8) + (33)/(59)*a^(7) + (40)/(59)*a^(6) - (22)/(59)*a^(5) - (82)/(59)*a^(4) + (8)/(59)*a^(3) - (15)/(59)*a^(2) + (19)/(59)*a + (3)/(59) , (53)/(59)*a^(19) - (80)/(59)*a^(18) + (73)/(59)*a^(17) - (182)/(59)*a^(16) + (190)/(59)*a^(15) - (81)/(59)*a^(14) + (108)/(59)*a^(13) + (5)/(59)*a^(12) - (274)/(59)*a^(11) + (175)/(59)*a^(10) - (194)/(59)*a^(9) + (384)/(59)*a^(8) - (106)/(59)*a^(7) - (23)/(59)*a^(6) - (67)/(59)*a^(5) - (62)/(59)*a^(4) + (137)/(59)*a^(3) - (43)/(59)*a^(2) + (23)/(59)*a - (15)/(59) , (36)/(59)*a^(19) - (51)/(59)*a^(18) + (34)/(59)*a^(17) - (147)/(59)*a^(16) + (158)/(59)*a^(15) - (104)/(59)*a^(14) + (237)/(59)*a^(13) - (207)/(59)*a^(12) + (51)/(59)*a^(11) - (224)/(59)*a^(10) + (161)/(59)*a^(9) + (115)/(59)*a^(8) + (105)/(59)*a^(7) - (39)/(59)*a^(6) - (188)/(59)*a^(5) + (18)/(59)*a^(4) + (4)/(59)*a^(3) + (81)/(59)*a^(2) - (20)/(59)*a - (28)/(59) , (14)/(59)*a^(19) - (69)/(59)*a^(18) + (105)/(59)*a^(17) - (126)/(59)*a^(16) + (186)/(59)*a^(15) - (224)/(59)*a^(14) + (161)/(59)*a^(13) - (110)/(59)*a^(12) + (10)/(59)*a^(11) + (162)/(59)*a^(10) - (157)/(59)*a^(9) + (166)/(59)*a^(8) - (264)/(59)*a^(7) + (211)/(59)*a^(6) - (60)/(59)*a^(5) + (66)/(59)*a^(4) - (5)/(59)*a^(3) - (57)/(59)*a^(2) + (25)/(59)*a - (24)/(59) , (29)/(59)*a^(19) - (46)/(59)*a^(18) + (70)/(59)*a^(17) - (143)/(59)*a^(16) + (183)/(59)*a^(15) - (228)/(59)*a^(14) + (245)/(59)*a^(13) - (211)/(59)*a^(12) + (164)/(59)*a^(11) - (128)/(59)*a^(10) + (33)/(59)*a^(9) + (32)/(59)*a^(8) - (58)/(59)*a^(7) + (62)/(59)*a^(6) + (19)/(59)*a^(5) + (44)/(59)*a^(4) - (23)/(59)*a^(3) - (38)/(59)*a^(2) + (56)/(59)*a - (16)/(59) , (26)/(59)*a^(19) - (27)/(59)*a^(18) + (77)/(59)*a^(17) - (116)/(59)*a^(16) + (101)/(59)*a^(15) - (180)/(59)*a^(14) + (181)/(59)*a^(13) - (120)/(59)*a^(12) + (145)/(59)*a^(11) - (129)/(59)*a^(10) - (5)/(59)*a^(9) - (130)/(59)*a^(8) + (66)/(59)*a^(7) + (80)/(59)*a^(6) + (74)/(59)*a^(5) + (13)/(59)*a^(4) - (43)/(59)*a^(3) - (30)/(59)*a^(2) - (21)/(59)*a + (65)/(59) ], 622.109043514, [[x^2 - x + 1, 1], [x^10 - 2*x^9 + x^8 + 2*x^7 - 3*x^6 + x^5 + x^4 - x + 1, 1]]]