/* 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 + 4*x^16 - 14*x^14 - 49*x^12 + 56*x^10 + 103*x^8 - 49*x^6 - 22*x^4 + 6*x^2 + 1, 18, 460, [8, 5], -75613185918270483380568064, [2, 19], [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, 1/113*a^14 - 22/113*a^12 - 3/113*a^10 + 54/113*a^8 - 4/113*a^6 - 29/113*a^4 + 11/113*a^2 + 28/113, 1/113*a^15 - 22/113*a^13 - 3/113*a^11 + 54/113*a^9 - 4/113*a^7 - 29/113*a^5 + 11/113*a^3 + 28/113*a, 1/4181*a^16 - 16/4181*a^14 + 1786/4181*a^12 - 1433/4181*a^10 - 810/4181*a^8 + 60/4181*a^6 + 1193/4181*a^4 + 94/4181*a^2 + 1863/4181, 1/4181*a^17 - 16/4181*a^15 + 1786/4181*a^13 - 1433/4181*a^11 - 810/4181*a^9 + 60/4181*a^7 + 1193/4181*a^5 + 94/4181*a^3 + 1863/4181*a], 0, 1, [], 1, [ a , (2064)/(4181)*a^(17) + (8305)/(4181)*a^(15) - (28385)/(4181)*a^(13) - (100646)/(4181)*a^(11) + (108378)/(4181)*a^(9) + (201022)/(4181)*a^(7) - (74109)/(4181)*a^(5) - (20325)/(4181)*a^(3) - (6394)/(4181)*a , (1698)/(4181)*a^(17) + (5873)/(4181)*a^(15) - (27272)/(4181)*a^(13) - (69748)/(4181)*a^(11) + (1213)/(37)*a^(9) + (1027)/(37)*a^(7) - (161689)/(4181)*a^(5) + (21343)/(4181)*a^(3) + (12047)/(4181)*a , (448)/(4181)*a^(16) + (1268)/(4181)*a^(14) - (8433)/(4181)*a^(12) - (15056)/(4181)*a^(10) + (50854)/(4181)*a^(8) + (22403)/(4181)*a^(6) - (69746)/(4181)*a^(4) + (1116)/(4181)*a^(2) + (4677)/(4181) , (1616)/(4181)*a^(17) + (7037)/(4181)*a^(15) - (19952)/(4181)*a^(13) - (85590)/(4181)*a^(11) + (57524)/(4181)*a^(9) + (178619)/(4181)*a^(7) - (4363)/(4181)*a^(5) - (21441)/(4181)*a^(3) - (6890)/(4181)*a , (1050)/(4181)*a^(17) + (2847)/(4181)*a^(15) - (20284)/(4181)*a^(13) - (33345)/(4181)*a^(11) + (126818)/(4181)*a^(9) + (42946)/(4181)*a^(7) - (190942)/(4181)*a^(5) + (17966)/(4181)*a^(3) + (22752)/(4181)*a , (1616)/(4181)*a^(17) + (7037)/(4181)*a^(15) - (19952)/(4181)*a^(13) - (85590)/(4181)*a^(11) + (57524)/(4181)*a^(9) + (178619)/(4181)*a^(7) - (4363)/(4181)*a^(5) - (21441)/(4181)*a^(3) - (11071)/(4181)*a , (366)/(4181)*a^(17) + (2432)/(4181)*a^(15) - (1113)/(4181)*a^(13) - (30898)/(4181)*a^(11) - (28691)/(4181)*a^(9) + (84971)/(4181)*a^(7) + (87580)/(4181)*a^(5) - (41668)/(4181)*a^(3) - (22622)/(4181)*a , (3654)/(4181)*a^(17) + (2841)/(4181)*a^(16) + (15499)/(4181)*a^(15) + (12338)/(4181)*a^(14) - (47265)/(4181)*a^(13) - (35600)/(4181)*a^(12) - (190011)/(4181)*a^(11) - (151336)/(4181)*a^(10) + (156252)/(4181)*a^(9) + (108896)/(4181)*a^(8) + (408384)/(4181)*a^(7) + (328117)/(4181)*a^(6) - (68531)/(4181)*a^(5) - (38552)/(4181)*a^(4) - (84688)/(4181)*a^(3) - (63023)/(4181)*a^(2) - (6259)/(4181)*a - (4359)/(4181) , (50)/(113)*a^(17) + (434)/(4181)*a^(16) + (199)/(113)*a^(15) + (2084)/(4181)*a^(14) - (704)/(113)*a^(13) - (4651)/(4181)*a^(12) - (2440)/(113)*a^(11) - (26037)/(4181)*a^(10) + (2824)/(113)*a^(9) + (6361)/(4181)*a^(8) + (5106)/(113)*a^(7) + (61005)/(4181)*a^(6) - (2317)/(113)*a^(5) + (17633)/(4181)*a^(4) - (922)/(113)*a^(3) - (10412)/(4181)*a^(2) + (99)/(113)*a + (3533)/(4181) , (7304)/(4181)*a^(17) + (1119)/(4181)*a^(16) + (31876)/(4181)*a^(15) + (5258)/(4181)*a^(14) - (90315)/(4181)*a^(13) - (12009)/(4181)*a^(12) - (389275)/(4181)*a^(11) - (63328)/(4181)*a^(10) + (263537)/(4181)*a^(9) + (18240)/(4181)*a^(8) + (829996)/(4181)*a^(7) + (129189)/(4181)*a^(6) - (48372)/(4181)*a^(5) + (40300)/(4181)*a^(4) - (139893)/(4181)*a^(3) + (402)/(4181)*a^(2) - (1359)/(4181)*a - (1141)/(4181) , (2613)/(4181)*a^(17) + (497)/(4181)*a^(16) + (9955)/(4181)*a^(15) + (1779)/(4181)*a^(14) - (38361)/(4181)*a^(13) - (7943)/(4181)*a^(12) - (120094)/(4181)*a^(11) - (22262)/(4181)*a^(10) + (168590)/(4181)*a^(9) + (39284)/(4181)*a^(8) + (229855)/(4181)*a^(7) + (49430)/(4181)*a^(6) - (177467)/(4181)*a^(5) - (44663)/(4181)*a^(4) - (12823)/(4181)*a^(3) - (17662)/(4181)*a^(2) + (33340)/(4181)*a - (1568)/(4181) ], 1205272.9888, [[x^3 - x^2 - 6*x + 7, 1], [x^9 - x^8 - 8*x^7 + 7*x^6 + 21*x^5 - 15*x^4 - 20*x^3 + 10*x^2 + 5*x - 1, 1]]]