/* 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 - 12*x^16 + 42*x^14 - 11*x^12 - 243*x^10 + 579*x^8 - 559*x^6 + 234*x^4 - 33*x^2 + 1, 18, 459, [16, 1], -1024770265180753855691096064, [2, 3, 7], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/2*a^12 - 1/2*a^10 - 1/2*a^8 - 1/2*a^6 - 1/2*a^4 - 1/2*a^2 - 1/2, 1/2*a^13 - 1/2*a^11 - 1/2*a^9 - 1/2*a^7 - 1/2*a^5 - 1/2*a^3 - 1/2*a, 1/2*a^14 - 1/2, 1/2*a^15 - 1/2*a, 1/254*a^16 + 23/254*a^14 - 21/127*a^12 - 42/127*a^10 - 4/127*a^8 - 41/127*a^6 + 107/254*a^2 + 29/254, 1/254*a^17 + 23/254*a^15 - 21/127*a^13 - 42/127*a^11 - 4/127*a^9 - 41/127*a^7 + 107/254*a^3 + 29/254*a], 0, 1, [], 1, [ (30)/(127)*a^(16) - (525)/(254)*a^(14) + (655)/(254)*a^(12) + (2961)/(254)*a^(10) - (7719)/(254)*a^(8) + (4097)/(254)*a^(6) + (27)/(2)*a^(4) - (3867)/(254)*a^(2) + (235)/(127) , (30)/(127)*a^(16) - (525)/(254)*a^(14) + (655)/(254)*a^(12) + (2961)/(254)*a^(10) - (7719)/(254)*a^(8) + (4097)/(254)*a^(6) + (27)/(2)*a^(4) - (3867)/(254)*a^(2) + (362)/(127) , (188)/(127)*a^(17) - (2026)/(127)*a^(15) + (11005)/(254)*a^(13) + (7659)/(254)*a^(11) - (78573)/(254)*a^(9) + (127791)/(254)*a^(7) - (651)/(2)*a^(5) + (19785)/(254)*a^(3) - (1161)/(254)*a , (27)/(127)*a^(16) - (663)/(254)*a^(14) + (1152)/(127)*a^(12) + (18)/(127)*a^(10) - (7328)/(127)*a^(8) + (14423)/(127)*a^(6) - 84*a^(4) + (2889)/(127)*a^(2) - (339)/(254) , (27)/(127)*a^(16) - (663)/(254)*a^(14) + (1152)/(127)*a^(12) + (18)/(127)*a^(10) - (7328)/(127)*a^(8) + (14423)/(127)*a^(6) - 84*a^(4) + (2889)/(127)*a^(2) - (593)/(254) , (63)/(254)*a^(17) - (837)/(254)*a^(15) + (3323)/(254)*a^(13) - (1355)/(254)*a^(11) - (19173)/(254)*a^(9) + (44745)/(254)*a^(7) - (309)/(2)*a^(5) + (7371)/(127)*a^(3) - (1309)/(127)*a , (146)/(127)*a^(17) - (3317)/(254)*a^(15) + (10215)/(254)*a^(13) + (2523)/(254)*a^(11) - (67233)/(254)*a^(9) + (128075)/(254)*a^(7) - (765)/(2)*a^(5) + (28323)/(254)*a^(3) - (973)/(127)*a , (57)/(127)*a^(17) - (594)/(127)*a^(15) + (2959)/(254)*a^(13) + (2997)/(254)*a^(11) - (22375)/(254)*a^(9) + (32943)/(254)*a^(7) - (141)/(2)*a^(5) + (1657)/(254)*a^(3) + (639)/(254)*a , (12)/(127)*a^(17) - (12)/(127)*a^(16) - (105)/(127)*a^(15) + (105)/(127)*a^(14) + (135)/(254)*a^(13) - (135)/(254)*a^(12) + (2175)/(254)*a^(11) - (2175)/(254)*a^(10) - (3621)/(254)*a^(9) + (3621)/(254)*a^(8) - (4381)/(254)*a^(7) + (4381)/(254)*a^(6) + (87)/(2)*a^(5) - (87)/(2)*a^(4) - (4671)/(254)*a^(3) + (4671)/(254)*a^(2) + (315)/(254)*a - (315)/(254) , (42)/(127)*a^(17) + (159)/(254)*a^(16) - (989)/(254)*a^(15) - (775)/(127)*a^(14) + (1665)/(127)*a^(13) + (3101)/(254)*a^(12) - (226)/(127)*a^(11) + (6075)/(254)*a^(10) - (9861)/(127)*a^(9) - (26545)/(254)*a^(8) + (22337)/(127)*a^(7) + (28491)/(254)*a^(6) - 168*a^(5) - (81)/(2)*a^(4) + (9574)/(127)*a^(3) + (823)/(127)*a^(2) - (3025)/(254)*a - (469)/(254) , (253)/(254)*a^(17) + (12)/(127)*a^(16) - (1345)/(127)*a^(15) - (105)/(127)*a^(14) + (7027)/(254)*a^(13) + (135)/(254)*a^(12) + (6053)/(254)*a^(11) + (2175)/(254)*a^(10) - (51681)/(254)*a^(9) - (3621)/(254)*a^(8) + (78949)/(254)*a^(7) - (4381)/(254)*a^(6) - (369)/(2)*a^(5) + (87)/(2)*a^(4) + (4455)/(127)*a^(3) - (4671)/(254)*a^(2) + (733)/(254)*a + (61)/(254) , (12)/(127)*a^(17) - (105)/(127)*a^(15) + (135)/(254)*a^(13) + (2175)/(254)*a^(11) - (3621)/(254)*a^(9) - (4381)/(254)*a^(7) + (87)/(2)*a^(5) - (4671)/(254)*a^(3) + (61)/(254)*a + 1 , (437)/(254)*a^(17) + (149)/(127)*a^(16) - (2531)/(127)*a^(15) - (3179)/(254)*a^(14) + (16317)/(254)*a^(13) + (4283)/(127)*a^(12) + (1265)/(254)*a^(11) + (2724)/(127)*a^(10) - (103953)/(254)*a^(9) - (30148)/(127)*a^(8) + (211689)/(254)*a^(7) + (51663)/(127)*a^(6) - (1335)/(2)*a^(5) - 285*a^(4) + (25348)/(127)*a^(3) + (9339)/(127)*a^(2) - (2567)/(254)*a - (629)/(254) , (61)/(254)*a^(17) + (173)/(127)*a^(16) - (251)/(127)*a^(15) - (3599)/(254)*a^(14) + (105)/(254)*a^(13) + (4418)/(127)*a^(12) + (5671)/(254)*a^(11) + (4899)/(127)*a^(10) - (8235)/(254)*a^(9) - (33769)/(127)*a^(8) - (13257)/(254)*a^(7) + (47282)/(127)*a^(6) + (251)/(2)*a^(5) - 198*a^(4) - (7595)/(127)*a^(3) + (4668)/(127)*a^(2) + (499)/(254)*a - (253)/(254) , (39)/(254)*a^(17) - (627)/(254)*a^(15) + (1594)/(127)*a^(13) - (1765)/(127)*a^(11) - (7776)/(127)*a^(9) + (24563)/(127)*a^(7) - 198*a^(5) + (19413)/(254)*a^(3) - (2679)/(254)*a + 1 , (188)/(127)*a^(17) - (69)/(127)*a^(16) - (2026)/(127)*a^(15) + (699)/(127)*a^(14) + (11005)/(254)*a^(13) - (1547)/(127)*a^(12) + (7659)/(254)*a^(11) - (2586)/(127)*a^(10) - (78573)/(254)*a^(9) + (12998)/(127)*a^(8) + (127791)/(254)*a^(7) - (14281)/(127)*a^(6) - (651)/(2)*a^(5) + 27*a^(4) + (19785)/(254)*a^(3) + (1380)/(127)*a^(2) - (1415)/(254)*a + (31)/(127) ], 31808885.6536, [[x^3 - 3*x - 1, 1], [x^3 - 21*x - 35, 1], [x^3 - 21*x - 28, 1], [x^3 - x^2 - 2*x + 1, 1], [x^9 - 15*x^7 - 4*x^6 + 54*x^5 + 12*x^4 - 38*x^3 - 9*x^2 + 6*x + 1, 1]]]