/* 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 - 3*x^18 - 8*x^16 + 27*x^14 + 9*x^12 - 71*x^10 + 35*x^8 + 49*x^6 - 58*x^4 + 19*x^2 - 1, 20, 846, [10, 5], -24868623129665465017517056, [2, 11, 727], [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^12 - 1/2*a^11 - 1/2*a^9 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^16 - 1/2*a^13 - 1/2*a^12 - 1/2*a^10 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^17 - 1/2*a^14 - 1/2*a^13 - 1/2*a^11 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/614*a^18 - 35/307*a^16 + 77/614*a^14 - 110/307*a^12 - 1/2*a^11 - 147/307*a^10 - 1/2*a^9 + 143/307*a^8 - 1/2*a^7 - 93/614*a^6 - 1/2*a^5 + 70/307*a^4 + 79/614*a^2 - 1/2*a - 55/614, 1/614*a^19 - 35/307*a^17 + 77/614*a^15 - 110/307*a^13 - 1/2*a^12 - 147/307*a^11 - 1/2*a^10 + 143/307*a^9 - 1/2*a^8 - 93/614*a^7 - 1/2*a^6 + 70/307*a^5 + 79/614*a^3 - 1/2*a^2 - 55/614*a], 0, 1, [], 1, [ (30)/(307)*a^(19) + (49)/(307)*a^(17) - (453)/(307)*a^(15) - (767)/(307)*a^(13) + (2232)/(307)*a^(11) + (2747)/(307)*a^(9) - (5246)/(307)*a^(7) - (1633)/(307)*a^(5) + (5133)/(307)*a^(3) - (2264)/(307)*a , (394)/(307)*a^(19) - (871)/(307)*a^(17) - (3739)/(307)*a^(15) + (7262)/(307)*a^(13) + (9113)/(307)*a^(11) - (18098)/(307)*a^(9) - (3793)/(307)*a^(7) + (14636)/(307)*a^(5) - (4793)/(307)*a^(3) - (1101)/(307)*a , (348)/(307)*a^(19) - (721)/(307)*a^(17) - (3597)/(307)*a^(15) + (6637)/(307)*a^(13) + (9743)/(307)*a^(11) - (19588)/(307)*a^(9) - (2892)/(307)*a^(7) + (18327)/(307)*a^(5) - (10269)/(307)*a^(3) + (1122)/(307)*a , (357)/(614)*a^(19) - (255)/(307)*a^(18) - (737)/(614)*a^(17) + (1009)/(614)*a^(16) - (1759)/(307)*a^(15) + (5245)/(614)*a^(14) + (3096)/(307)*a^(13) - (9065)/(614)*a^(12) + (4623)/(307)*a^(11) - (6999)/(307)*a^(10) - (16093)/(614)*a^(9) + (26367)/(614)*a^(8) - (5571)/(614)*a^(7) + (2225)/(307)*a^(6) + (7184)/(307)*a^(5) - (25043)/(614)*a^(4) - (1402)/(307)*a^(3) + (6564)/(307)*a^(2) - (1829)/(614)*a - (501)/(614) , (86)/(307)*a^(19) + (162)/(307)*a^(18) - (187)/(307)*a^(17) - (288)/(307)*a^(16) - (1799)/(614)*a^(15) - (1648)/(307)*a^(14) + (1649)/(307)*a^(13) + (4549)/(614)*a^(12) + (5613)/(614)*a^(11) + (4562)/(307)*a^(10) - (8831)/(614)*a^(9) - (5551)/(307)*a^(8) - (2779)/(307)*a^(7) - (3400)/(307)*a^(6) + (4058)/(307)*a^(5) + (9441)/(614)*a^(4) - (227)/(614)*a^(3) - (1113)/(614)*a^(2) - (1785)/(614)*a - (935)/(614) , (401)/(614)*a^(19) + (88)/(307)*a^(18) - (527)/(307)*a^(17) - (347)/(614)*a^(16) - (3507)/(614)*a^(15) - (899)/(307)*a^(14) + (9099)/(614)*a^(13) + (1516)/(307)*a^(12) + (3374)/(307)*a^(11) + (2372)/(307)*a^(10) - (11425)/(307)*a^(9) - (8301)/(614)*a^(8) + (3231)/(614)*a^(7) - (1325)/(614)*a^(6) + (16537)/(614)*a^(5) + (7141)/(614)*a^(4) - (5804)/(307)*a^(3) - (2258)/(307)*a^(2) + (792)/(307)*a + (379)/(307) , a , (83)/(307)*a^(19) - (284)/(307)*a^(17) - (363)/(307)*a^(15) + (1695)/(307)*a^(13) - (763)/(307)*a^(11) - (515)/(307)*a^(9) + (877)/(307)*a^(7) - (3423)/(307)*a^(5) + (3794)/(307)*a^(3) - (1495)/(307)*a , (241)/(614)*a^(19) - (441)/(614)*a^(18) - (146)/(307)*a^(17) + (1091)/(614)*a^(16) - (2933)/(614)*a^(15) + (4111)/(614)*a^(14) + (2547)/(614)*a^(13) - (4908)/(307)*a^(12) + (10501)/(614)*a^(11) - (4555)/(307)*a^(10) - (8131)/(614)*a^(9) + (27067)/(614)*a^(8) - (5834)/(307)*a^(7) - (830)/(307)*a^(6) + (4897)/(307)*a^(5) - (23365)/(614)*a^(4) + (463)/(307)*a^(3) + (14281)/(614)*a^(2) - (2203)/(614)*a - (919)/(614) , (22)/(307)*a^(19) - (167)/(307)*a^(18) - (317)/(614)*a^(17) + (331)/(307)*a^(16) + (11)/(614)*a^(15) + (3447)/(614)*a^(14) + (2907)/(614)*a^(13) - (6033)/(614)*a^(12) - (1249)/(307)*a^(11) - (4627)/(307)*a^(10) - (6757)/(614)*a^(9) + (9033)/(307)*a^(8) + (4401)/(307)*a^(7) + (3125)/(614)*a^(6) + (2169)/(614)*a^(5) - (8951)/(307)*a^(4) - (4402)/(307)*a^(3) + (4306)/(307)*a^(2) + (3413)/(614)*a - (357)/(614) , (33)/(614)*a^(19) + (92)/(307)*a^(18) - (161)/(614)*a^(17) - (300)/(307)*a^(16) - (111)/(307)*a^(15) - (1489)/(614)*a^(14) + (1643)/(614)*a^(13) + (2785)/(307)*a^(12) + (61)/(307)*a^(11) + (2085)/(614)*a^(10) - (4991)/(614)*a^(9) - (15223)/(614)*a^(8) + (1229)/(614)*a^(7) + (2496)/(307)*a^(6) + (4927)/(614)*a^(5) + (6126)/(307)*a^(4) - (1691)/(614)*a^(3) - (9717)/(614)*a^(2) - (447)/(307)*a + (1239)/(614) , (153)/(614)*a^(19) + (88)/(307)*a^(18) - (136)/(307)*a^(17) - (347)/(614)*a^(16) - (1727)/(614)*a^(15) - (899)/(307)*a^(14) + (2873)/(614)*a^(13) + (1516)/(307)*a^(12) + (2376)/(307)*a^(11) + (2372)/(307)*a^(10) - (5137)/(307)*a^(9) - (8301)/(614)*a^(8) + (1121)/(614)*a^(7) - (1325)/(614)*a^(6) + (10675)/(614)*a^(5) + (7141)/(614)*a^(4) - (5162)/(307)*a^(3) - (2258)/(307)*a^(2) + (1165)/(307)*a + (72)/(307) , (259)/(307)*a^(19) + (77)/(614)*a^(18) - (631)/(307)*a^(17) - (171)/(614)*a^(16) - (2468)/(307)*a^(15) - (825)/(614)*a^(14) + (11603)/(614)*a^(13) + (1787)/(614)*a^(12) + (11339)/(614)*a^(11) + (2229)/(614)*a^(10) - (33289)/(614)*a^(9) - (3111)/(307)*a^(8) + (1867)/(614)*a^(7) + (207)/(614)*a^(6) + (15077)/(307)*a^(5) + (6789)/(614)*a^(4) - (18329)/(614)*a^(3) - (2024)/(307)*a^(2) + (798)/(307)*a + (677)/(614) , (83)/(614)*a^(19) + (253)/(614)*a^(18) - (142)/(307)*a^(17) - (259)/(307)*a^(16) - (363)/(614)*a^(15) - (2623)/(614)*a^(14) + (1001)/(307)*a^(13) + (4819)/(614)*a^(12) - (1377)/(614)*a^(11) + (6973)/(614)*a^(10) - (2971)/(614)*a^(9) - (14523)/(614)*a^(8) + (2434)/(307)*a^(7) - (559)/(307)*a^(6) - (353)/(614)*a^(5) + (6965)/(307)*a^(4) - (2039)/(614)*a^(3) - (4282)/(307)*a^(2) + (634)/(307)*a + (1435)/(614) ], 150230.99101, [[x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1, 1], [x^10 - 2*x^9 - 3*x^8 + 12*x^7 - 7*x^6 - 20*x^5 + 17*x^4 + 16*x^3 - 6*x^2 - 6*x - 1, 1]]]