/* 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 + 5*x^16 - 7*x^15 + 10*x^14 - 13*x^13 + 17*x^12 - 24*x^11 + 28*x^10 - 28*x^9 + 25*x^8 - 24*x^7 + 28*x^6 - 31*x^5 + 29*x^4 - 22*x^3 + 13*x^2 - 5*x + 1, 18, 189, [0, 9], -5585027926119911424, [2, 3, 37], [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, 1/2507*a^17 - 1001/2507*a^16 - 289/2507*a^15 + 399/2507*a^14 + 22/2507*a^13 + 572/2507*a^12 + 185/2507*a^11 + 679/2507*a^10 + 48/109*a^9 + 156/2507*a^8 - 385/2507*a^7 + 1020/2507*a^6 - 1110/2507*a^5 + 765/2507*a^4 + 429/2507*a^3 + 104/2507*a^2 - 1096/2507*a - 660/2507], 0, 1, [], 0, [ (2562)/(2507)*a^(17) + (99)/(2507)*a^(16) + (6668)/(2507)*a^(15) + (1889)/(2507)*a^(14) + (6224)/(2507)*a^(13) - (1131)/(2507)*a^(12) + (5161)/(2507)*a^(11) - (10288)/(2507)*a^(10) - (194)/(109)*a^(9) + (3566)/(2507)*a^(8) - (6133)/(2507)*a^(7) + (946)/(2507)*a^(6) + (9146)/(2507)*a^(5) + (4470)/(2507)*a^(4) - (8996)/(2507)*a^(3) + (13241)/(2507)*a^(2) - (12647)/(2507)*a + (6319)/(2507) , (6319)/(2507)*a^(17) - (15200)/(2507)*a^(16) + (31496)/(2507)*a^(15) - (50901)/(2507)*a^(14) + (61301)/(2507)*a^(13) - (88371)/(2507)*a^(12) + (108554)/(2507)*a^(11) - (156817)/(2507)*a^(10) + (8140)/(109)*a^(9) - (172470)/(2507)*a^(8) + (154409)/(2507)*a^(7) - (145523)/(2507)*a^(6) + (175986)/(2507)*a^(5) - (205035)/(2507)*a^(4) + (178781)/(2507)*a^(3) - (130022)/(2507)*a^(2) + (68906)/(2507)*a - (18948)/(2507) , (1093)/(2507)*a^(17) - (6055)/(2507)*a^(16) + (7526)/(2507)*a^(15) - (20167)/(2507)*a^(14) + (16525)/(2507)*a^(13) - (31638)/(2507)*a^(12) + (34236)/(2507)*a^(11) - (50065)/(2507)*a^(10) + (2978)/(109)*a^(9) - (55122)/(2507)*a^(8) + (55525)/(2507)*a^(7) - (45881)/(2507)*a^(6) + (57819)/(2507)*a^(5) - (73896)/(2507)*a^(4) + (57749)/(2507)*a^(3) - (46776)/(2507)*a^(2) + (22981)/(2507)*a - (6885)/(2507) , (4101)/(2507)*a^(17) + (6379)/(2507)*a^(16) + (5636)/(2507)*a^(15) + (24298)/(2507)*a^(14) - (5044)/(2507)*a^(13) + (29304)/(2507)*a^(12) - (26006)/(2507)*a^(11) + (29386)/(2507)*a^(10) - (3494)/(109)*a^(9) + (63146)/(2507)*a^(8) - (69671)/(2507)*a^(7) + (46470)/(2507)*a^(6) - (42017)/(2507)*a^(5) + (83739)/(2507)*a^(4) - (78302)/(2507)*a^(3) + (73017)/(2507)*a^(2) - (47278)/(2507)*a + (20956)/(2507) , (3339)/(2507)*a^(17) - (5522)/(2507)*a^(16) + (15266)/(2507)*a^(15) - (19012)/(2507)*a^(14) + (28332)/(2507)*a^(13) - (35524)/(2507)*a^(12) + (46119)/(2507)*a^(11) - (66836)/(2507)*a^(10) + (3203)/(109)*a^(9) - (73275)/(2507)*a^(8) + (63251)/(2507)*a^(7) - (58894)/(2507)*a^(6) + (74266)/(2507)*a^(5) - (80522)/(2507)*a^(4) + (76144)/(2507)*a^(3) - (53864)/(2507)*a^(2) + (25746)/(2507)*a - (7608)/(2507) , (8321)/(2507)*a^(17) - (6081)/(2507)*a^(16) + (27021)/(2507)*a^(15) - (16738)/(2507)*a^(14) + (37656)/(2507)*a^(13) - (38786)/(2507)*a^(12) + (55241)/(2507)*a^(11) - (86057)/(2507)*a^(10) + (2866)/(109)*a^(9) - (60718)/(2507)*a^(8) + (50501)/(2507)*a^(7) - (61450)/(2507)*a^(6) + (92237)/(2507)*a^(5) - (72411)/(2507)*a^(4) + (54895)/(2507)*a^(3) - (24601)/(2507)*a^(2) + (3157)/(2507)*a + (5991)/(2507) , (1971)/(2507)*a^(17) - (4976)/(2507)*a^(16) + (9498)/(2507)*a^(15) - (15811)/(2507)*a^(14) + (18292)/(2507)*a^(13) - (25808)/(2507)*a^(12) + (33711)/(2507)*a^(11) - (45555)/(2507)*a^(10) + (2503)/(109)*a^(9) - (48518)/(2507)*a^(8) + (43405)/(2507)*a^(7) - (42813)/(2507)*a^(6) + (50941)/(2507)*a^(5) - (61567)/(2507)*a^(4) + (50840)/(2507)*a^(3) - (33181)/(2507)*a^(2) + (18367)/(2507)*a - (4741)/(2507) , (1548)/(2507)*a^(17) + (4792)/(2507)*a^(16) - (1126)/(2507)*a^(15) + (18479)/(2507)*a^(14) - (11070)/(2507)*a^(13) + (25555)/(2507)*a^(12) - (26995)/(2507)*a^(11) + (33250)/(2507)*a^(10) - (2868)/(109)*a^(9) + (55970)/(2507)*a^(8) - (56975)/(2507)*a^(7) + (39662)/(2507)*a^(6) - (41097)/(2507)*a^(5) + (71112)/(2507)*a^(4) - (65445)/(2507)*a^(3) + (58205)/(2507)*a^(2) - (34467)/(2507)*a + (13711)/(2507) ], 172.576549312, [[x^2 - x + 1, 1], [x^6 - 3*x^5 + 4*x^4 - 2*x^3 - 2*x^2 + 2*x + 1, 1], [x^6 - x^5 + x^4 - 6*x^3 + 15*x^2 + 15*x + 39, 1]]]