/* 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 - 9*x^17 + 36*x^16 - 81*x^15 + 105*x^14 - 63*x^13 - 21*x^12 + 72*x^11 - 63*x^10 + 27*x^9 - 6*x^6 - 9*x^5 + 18*x^4 - 9*x^2 + 3, 18, 3, [0, 9], -2529990231179046912, [2, 3], [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, 1/159031*a^17 + 66377/159031*a^16 + 72610/159031*a^15 + 57769/159031*a^14 + 20374/159031*a^13 - 10354/159031*a^12 - 28683/159031*a^11 - 71403/159031*a^10 + 77396/159031*a^9 + 37335/159031*a^8 + 23175/159031*a^7 + 29656/159031*a^6 - 60570/159031*a^5 - 60225/159031*a^4 - 57492/159031*a^3 - 78943/159031*a^2 - 2433/159031*a + 58358/159031], 0, 1, [], 0, [ (153946)/(159031)*a^(17) - (1176480)/(159031)*a^(16) + (3864876)/(159031)*a^(15) - (6545379)/(159031)*a^(14) + (4698321)/(159031)*a^(13) + (2237263)/(159031)*a^(12) - (7134767)/(159031)*a^(11) + (5582567)/(159031)*a^(10) - (1547245)/(159031)*a^(9) - (760616)/(159031)*a^(8) + (792251)/(159031)*a^(7) + (914814)/(159031)*a^(6) - (362659)/(159031)*a^(5) - (1957953)/(159031)*a^(4) + (842997)/(159031)*a^(3) + (1462190)/(159031)*a^(2) - (191644)/(159031)*a - (793739)/(159031) , (205995)/(159031)*a^(17) - (1745575)/(159031)*a^(16) + (6474578)/(159031)*a^(15) - (13205117)/(159031)*a^(14) + (14903923)/(159031)*a^(13) - (6945822)/(159031)*a^(12) - (3256462)/(159031)*a^(11) + (6636476)/(159031)*a^(10) - (4598691)/(159031)*a^(9) + (1356413)/(159031)*a^(8) + (300598)/(159031)*a^(7) + (1561196)/(159031)*a^(6) - (1453262)/(159031)*a^(5) - (2266999)/(159031)*a^(4) + (1405309)/(159031)*a^(3) + (1600961)/(159031)*a^(2) - (556247)/(159031)*a - (492235)/(159031) , (266986)/(159031)*a^(17) - (2275228)/(159031)*a^(16) + (8403203)/(159031)*a^(15) - (16805556)/(159031)*a^(14) + (17887912)/(159031)*a^(13) - (6139380)/(159031)*a^(12) - (7137059)/(159031)*a^(11) + (9940658)/(159031)*a^(10) - (6087707)/(159031)*a^(9) + (1449540)/(159031)*a^(8) + (935619)/(159031)*a^(7) + (1650729)/(159031)*a^(6) - (1388002)/(159031)*a^(5) - (3583215)/(159031)*a^(4) + (1862349)/(159031)*a^(3) + (2406159)/(159031)*a^(2) - (571427)/(159031)*a - (770330)/(159031) , (556695)/(159031)*a^(17) - (4038796)/(159031)*a^(16) + (12323943)/(159031)*a^(15) - (18460054)/(159031)*a^(14) + (9077777)/(159031)*a^(13) + (11985890)/(159031)*a^(12) - (21326253)/(159031)*a^(11) + (13782031)/(159031)*a^(10) - (3165168)/(159031)*a^(9) - (3847402)/(159031)*a^(8) + (3038339)/(159031)*a^(7) + (2883306)/(159031)*a^(6) + (1917090)/(159031)*a^(5) - (6402195)/(159031)*a^(4) - (679221)/(159031)*a^(3) + (3746992)/(159031)*a^(2) + (823247)/(159031)*a - (836180)/(159031) , (471110)/(159031)*a^(17) - (3531866)/(159031)*a^(16) + (11338263)/(159031)*a^(15) - (18823222)/(159031)*a^(14) + (13914832)/(159031)*a^(13) + (3424574)/(159031)*a^(12) - (15251036)/(159031)*a^(11) + (13882580)/(159031)*a^(10) - (6959360)/(159031)*a^(9) - (254812)/(159031)*a^(8) + (2086410)/(159031)*a^(7) + (1796089)/(159031)*a^(6) + (1389940)/(159031)*a^(5) - (5127063)/(159031)*a^(4) + (149614)/(159031)*a^(3) + (2538395)/(159031)*a^(2) + (402880)/(159031)*a - (400931)/(159031) , (178216)/(159031)*a^(17) - (1190720)/(159031)*a^(16) + (3409972)/(159031)*a^(15) - (5236797)/(159031)*a^(14) + (4906953)/(159031)*a^(13) - (4623670)/(159031)*a^(12) + (6325145)/(159031)*a^(11) - (5857668)/(159031)*a^(10) + (2832371)/(159031)*a^(9) - (480742)/(159031)*a^(8) - (1946673)/(159031)*a^(7) + (2959031)/(159031)*a^(6) - (154964)/(159031)*a^(5) + (579714)/(159031)*a^(4) - (2012407)/(159031)*a^(3) + (89789)/(159031)*a^(2) + (873164)/(159031)*a + (497083)/(159031) , (70412)/(159031)*a^(17) - (978921)/(159031)*a^(16) + (5016693)/(159031)*a^(15) - (13422694)/(159031)*a^(14) + (20152374)/(159031)*a^(13) - (15314720)/(159031)*a^(12) + (1656614)/(159031)*a^(11) + (6657300)/(159031)*a^(10) - (6905489)/(159031)*a^(9) + (4184396)/(159031)*a^(8) - (814146)/(159031)*a^(7) + (1015428)/(159031)*a^(6) - (3301133)/(159031)*a^(5) - (1273333)/(159031)*a^(4) + (3347052)/(159031)*a^(3) + (871182)/(159031)*a^(2) - (1626319)/(159031)*a - (893668)/(159031) , (600349)/(159031)*a^(17) - (4439151)/(159031)*a^(16) + (13825301)/(159031)*a^(15) - (21229253)/(159031)*a^(14) + (10773331)/(159031)*a^(13) + (15139096)/(159031)*a^(12) - (29513453)/(159031)*a^(11) + (22509774)/(159031)*a^(10) - (8540833)/(159031)*a^(9) - (2661783)/(159031)*a^(8) + (4395846)/(159031)*a^(7) + (1542711)/(159031)*a^(6) + (2797902)/(159031)*a^(5) - (8272225)/(159031)*a^(4) + (664501)/(159031)*a^(3) + (3930071)/(159031)*a^(2) + (527711)/(159031)*a - (1111699)/(159031) ], 404.056392969, [[x^2 - x + 1, 1], [x^3 - 2, 3], [x^3 - 3*x - 1, 1], [x^6 - 3*x^5 + 5*x^3 - 3*x + 1, 1], [x^6 - 2*x^3 + 4, 2], [x^6 - x^3 + 1, 1], [x^9 - 3*x^8 + 3*x^7 - 6*x^6 + 12*x^5 - 3*x^4 - 15*x^3 + 15*x^2 - 6*x + 1, 3]]]