/* 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^18 - 2*x^17 - x^16 + 6*x^15 - 4*x^14 - 10*x^13 + 11*x^12 + 9*x^11 - 16*x^10 - 5*x^9 + 16*x^8 + 5*x^7 - 15*x^6 - 5*x^5 + 12*x^4 + x^3 - 5*x^2 + 1, 18, 776, [2, 8], 6425148232879087321, [23, 208333], [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, 1/59*a^16 - 23/59*a^15 + 27/59*a^14 - 8/59*a^13 - 26/59*a^12 - 13/59*a^11 + 19/59*a^10 - 21/59*a^9 - 19/59*a^8 - 22/59*a^7 - 22/59*a^6 - 25/59*a^5 + 18/59*a^4 + 18/59*a^3 - 1/59*a^2 - 26/59*a - 7/59, 1/2537*a^17 + 13/2537*a^16 - 1096/2537*a^15 + 551/2537*a^14 - 1199/2537*a^13 - 64/2537*a^12 - 390/2537*a^11 + 781/2537*a^10 - 126/2537*a^9 - 175/2537*a^8 - 932/2537*a^7 - 19/59*a^6 + 888/2537*a^5 - 101/2537*a^4 + 647/2537*a^3 - 829/2537*a^2 - 1002/2537*a + 751/2537], 0, 1, [], 0, [ (100)/(59)*a^(17) - (152)/(59)*a^(16) - (153)/(59)*a^(15) + (497)/(59)*a^(14) - (196)/(59)*a^(13) - (980)/(59)*a^(12) + (585)/(59)*a^(11) + (952)/(59)*a^(10) - (988)/(59)*a^(9) - (768)/(59)*a^(8) + (930)/(59)*a^(7) + (807)/(59)*a^(6) - (865)/(59)*a^(5) - (777)/(59)*a^(4) + (627)/(59)*a^(3) + (267)/(59)*a^(2) - (203)/(59)*a - (50)/(59) , a , (2459)/(2537)*a^(17) - (3766)/(2537)*a^(16) - (3436)/(2537)*a^(15) + (12105)/(2537)*a^(14) - (6238)/(2537)*a^(13) - (22399)/(2537)*a^(12) + (15456)/(2537)*a^(11) + (18718)/(2537)*a^(10) - (23712)/(2537)*a^(9) - (12709)/(2537)*a^(8) + (21612)/(2537)*a^(7) + (353)/(59)*a^(6) - (18223)/(2537)*a^(5) - (16288)/(2537)*a^(4) + (14163)/(2537)*a^(3) + (1452)/(2537)*a^(2) - (5049)/(2537)*a + (1278)/(2537) , (1620)/(2537)*a^(17) - (1558)/(2537)*a^(16) - (4565)/(2537)*a^(15) + (7938)/(2537)*a^(14) + (1779)/(2537)*a^(13) - (20475)/(2537)*a^(12) + (2192)/(2537)*a^(11) + (26175)/(2537)*a^(10) - (10749)/(2537)*a^(9) - (26274)/(2537)*a^(8) + (12704)/(2537)*a^(7) + (616)/(59)*a^(6) - (10368)/(2537)*a^(5) - (27826)/(2537)*a^(4) + (6766)/(2537)*a^(3) + (14100)/(2537)*a^(2) - (2613)/(2537)*a - (5182)/(2537) , (4769)/(2537)*a^(17) - (5857)/(2537)*a^(16) - (7828)/(2537)*a^(15) + (19339)/(2537)*a^(14) - (4793)/(2537)*a^(13) - (42916)/(2537)*a^(12) + (11622)/(2537)*a^(11) + (40435)/(2537)*a^(10) - (28392)/(2537)*a^(9) - (37527)/(2537)*a^(8) + (26518)/(2537)*a^(7) + (981)/(59)*a^(6) - (20580)/(2537)*a^(5) - (33695)/(2537)*a^(4) + (12161)/(2537)*a^(3) + (8648)/(2537)*a^(2) - (2915)/(2537)*a - (2703)/(2537) , (961)/(2537)*a^(17) - (3933)/(2537)*a^(16) + (4458)/(2537)*a^(15) + (4825)/(2537)*a^(14) - (16179)/(2537)*a^(13) + (5318)/(2537)*a^(12) + (23949)/(2537)*a^(11) - (23287)/(2537)*a^(10) - (19692)/(2537)*a^(9) + (32291)/(2537)*a^(8) + (8638)/(2537)*a^(7) - (651)/(59)*a^(6) - (9556)/(2537)*a^(5) + (28413)/(2537)*a^(4) + (8974)/(2537)*a^(3) - (24217)/(2537)*a^(2) + (1998)/(2537)*a + (7094)/(2537) , (1737)/(2537)*a^(17) - (2273)/(2537)*a^(16) - (2722)/(2537)*a^(15) + (6959)/(2537)*a^(14) - (1377)/(2537)*a^(13) - (15493)/(2537)*a^(12) + (3389)/(2537)*a^(11) + (16717)/(2537)*a^(10) - (8979)/(2537)*a^(9) - (16950)/(2537)*a^(8) + (8666)/(2537)*a^(7) + (422)/(59)*a^(6) - (7866)/(2537)*a^(5) - (16466)/(2537)*a^(4) + (1625)/(2537)*a^(3) + (5601)/(2537)*a^(2) + (1714)/(2537)*a - (3143)/(2537) , (3860)/(2537)*a^(17) - (7784)/(2537)*a^(16) - (2671)/(2537)*a^(15) + (21451)/(2537)*a^(14) - (16433)/(2537)*a^(13) - (33846)/(2537)*a^(12) + (39676)/(2537)*a^(11) + (25816)/(2537)*a^(10) - (55586)/(2537)*a^(9) - (13085)/(2537)*a^(8) + (49783)/(2537)*a^(7) + (330)/(59)*a^(6) - (47537)/(2537)*a^(5) - (15029)/(2537)*a^(4) + (35885)/(2537)*a^(3) + (1367)/(2537)*a^(2) - (11394)/(2537)*a - (1103)/(2537) , (1574)/(2537)*a^(17) + (123)/(2537)*a^(16) - (6566)/(2537)*a^(15) + (3533)/(2537)*a^(14) + (10794)/(2537)*a^(13) - (20971)/(2537)*a^(12) - (17106)/(2537)*a^(11) + (33550)/(2537)*a^(10) + (13150)/(2537)*a^(9) - (38692)/(2537)*a^(8) - (4710)/(2537)*a^(7) + (973)/(59)*a^(6) + (8511)/(2537)*a^(5) - (37972)/(2537)*a^(4) - (12418)/(2537)*a^(3) + (19511)/(2537)*a^(2) + (4521)/(2537)*a - (4941)/(2537) ], 79.1741198129, [[x^3 - x^2 + 1, 1], [x^9 - 3*x^8 + 3*x^7 - 2*x^6 - 2*x^5 + 9*x^4 - 14*x^3 + 4*x^2 - 4*x + 1, 1]]]