/* 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 - 17*x^14 - 15*x^12 + 71*x^10 + 62*x^8 - 120*x^6 - 79*x^4 + 135*x^2 - 37, 18, 773, [10, 4], 256106564050292863664128, [2, 37, 401], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/2*a^9 - 1/2*a^7 - 1/2*a^6 - 1/2*a^5 - 1/2*a^2 - 1/2*a - 1/2, 1/2*a^10 - 1/2*a^8 - 1/2*a^7 - 1/2*a^6 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^11 - 1/2*a^8 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3 - 1/2*a - 1/2, 1/2*a^12 - 1/2*a^4 - 1/2, 1/2*a^13 - 1/2*a^5 - 1/2*a, 1/2*a^14 - 1/2*a^6 - 1/2*a^2, 1/2*a^15 - 1/2*a^7 - 1/2*a^3, 1/1091654*a^16 + 59072/545827*a^14 + 116675/1091654*a^12 + 136127/1091654*a^10 - 102098/545827*a^8 - 1/2*a^7 + 475411/1091654*a^6 + 133555/545827*a^4 - 1/2*a^3 - 90071/1091654*a^2 - 1/2*a + 95103/1091654, 1/1091654*a^17 + 59072/545827*a^15 + 116675/1091654*a^13 + 136127/1091654*a^11 - 102098/545827*a^9 - 1/2*a^8 + 475411/1091654*a^7 + 133555/545827*a^5 - 1/2*a^4 - 90071/1091654*a^3 - 1/2*a^2 + 95103/1091654*a], 0, 1, [], 1, [ (105827)/(545827)*a^(16) + (111826)/(545827)*a^(14) - (3395473)/(1091654)*a^(12) - (3374944)/(545827)*a^(10) + (4207454)/(545827)*a^(8) + (11178539)/(545827)*a^(6) - (3498201)/(1091654)*a^(4) - (11083356)/(545827)*a^(2) + (7018007)/(1091654) , (186451)/(1091654)*a^(16) + (126705)/(1091654)*a^(14) - (1519811)/(545827)*a^(12) - (2426333)/(545827)*a^(10) + (9255567)/(1091654)*a^(8) + (17109679)/(1091654)*a^(6) - (8699583)/(1091654)*a^(4) - (19472657)/(1091654)*a^(2) + (4796295)/(545827) , (523673)/(1091654)*a^(16) + (212058)/(545827)*a^(14) - (4257255)/(545827)*a^(12) - (7400356)/(545827)*a^(10) + (24506223)/(1091654)*a^(8) + (26210945)/(545827)*a^(6) - (17710897)/(1091654)*a^(4) - (27892466)/(545827)*a^(2) + (11452546)/(545827) , (131006)/(545827)*a^(16) + (102452)/(545827)*a^(14) - (4249305)/(1091654)*a^(12) - (3626771)/(545827)*a^(10) + (6084191)/(545827)*a^(8) + (12657652)/(545827)*a^(6) - (9191679)/(1091654)*a^(4) - (13253188)/(545827)*a^(2) + (11495399)/(1091654) , (126677)/(1091654)*a^(16) + (96975)/(1091654)*a^(14) - (2047839)/(1091654)*a^(12) - (1713697)/(545827)*a^(10) + (5808935)/(1091654)*a^(8) + (11279569)/(1091654)*a^(6) - (2290265)/(545827)*a^(4) - (10872999)/(1091654)*a^(2) + (5327457)/(1091654) , (455269)/(1091654)*a^(16) + (208251)/(545827)*a^(14) - (3688581)/(545827)*a^(12) - (6765873)/(545827)*a^(10) + (20249861)/(1091654)*a^(8) + (23115291)/(545827)*a^(6) - (13723723)/(1091654)*a^(4) - (23565096)/(545827)*a^(2) + (9685352)/(545827) , (944361)/(1091654)*a^(17) + (205643)/(545827)*a^(16) + (818049)/(1091654)*a^(15) + (180995)/(545827)*a^(14) - (7665418)/(545827)*a^(13) - (3341203)/(545827)*a^(12) - (27436543)/(1091654)*a^(11) - (11991743)/(1091654)*a^(10) + (21528290)/(545827)*a^(9) + (9363795)/(545827)*a^(8) + (95498959)/(1091654)*a^(7) + (41402669)/(1091654)*a^(6) - (30243555)/(1091654)*a^(5) - (13642505)/(1091654)*a^(4) - (99383773)/(1091654)*a^(3) - (21664488)/(545827)*a^(2) + (41580801)/(1091654)*a + (9563878)/(545827) , (220677)/(1091654)*a^(17) - (55071)/(545827)*a^(16) + (236833)/(1091654)*a^(15) - (50384)/(545827)*a^(14) - (3537231)/(1091654)*a^(13) + (1770519)/(1091654)*a^(12) - (3566272)/(545827)*a^(11) + (3296791)/(1091654)*a^(10) + (4333176)/(545827)*a^(9) - (4612319)/(1091654)*a^(8) + (23973619)/(1091654)*a^(7) - (5679569)/(545827)*a^(6) - (2645049)/(1091654)*a^(5) + (1683161)/(1091654)*a^(4) - (11616298)/(545827)*a^(3) + (5828362)/(545827)*a^(2) + (6546505)/(1091654)*a - (1298902)/(545827) , (9023)/(1091654)*a^(17) + (625185)/(1091654)*a^(16) + (13181)/(1091654)*a^(15) + (273500)/(545827)*a^(14) - (70879)/(545827)*a^(13) - (5069732)/(545827)*a^(12) - (191328)/(545827)*a^(11) - (18253809)/(1091654)*a^(10) + (125722)/(545827)*a^(9) + (14154406)/(545827)*a^(8) + (1616541)/(1091654)*a^(7) + (31709915)/(545827)*a^(6) + (426576)/(545827)*a^(5) - (19525937)/(1091654)*a^(4) - (1078769)/(545827)*a^(3) - (33147460)/(545827)*a^(2) - (781578)/(545827)*a + (27325295)/(1091654) , (281206)/(545827)*a^(17) + (157509)/(545827)*a^(16) + (445137)/(1091654)*a^(15) + (272597)/(1091654)*a^(14) - (9180899)/(1091654)*a^(13) - (5085819)/(1091654)*a^(12) - (7851580)/(545827)*a^(11) - (9176201)/(1091654)*a^(10) + (13505699)/(545827)*a^(9) + (13942097)/(1091654)*a^(8) + (27947387)/(545827)*a^(7) + (15879879)/(545827)*a^(6) - (21199835)/(1091654)*a^(5) - (8419745)/(1091654)*a^(4) - (29970003)/(545827)*a^(3) - (16232565)/(545827)*a^(2) + (13294374)/(545827)*a + (13450153)/(1091654) , (670327)/(1091654)*a^(17) + (417689)/(1091654)*a^(16) + (527831)/(1091654)*a^(15) + (160900)/(545827)*a^(14) - (10972991)/(1091654)*a^(13) - (3424772)/(545827)*a^(12) - (9337484)/(545827)*a^(11) - (5755227)/(545827)*a^(10) + (16392986)/(545827)*a^(9) + (20699575)/(1091654)*a^(8) + (33436084)/(545827)*a^(7) + (41382123)/(1091654)*a^(6) - (27697979)/(1091654)*a^(5) - (18325609)/(1091654)*a^(4) - (72964603)/(1091654)*a^(3) - (45843585)/(1091654)*a^(2) + (17042745)/(545827)*a + (22204295)/(1091654) , (517649)/(1091654)*a^(17) + (287217)/(545827)*a^(16) + (241534)/(545827)*a^(15) + (530451)/(1091654)*a^(14) - (4169767)/(545827)*a^(13) - (9289439)/(1091654)*a^(12) - (15543433)/(1091654)*a^(11) - (17211193)/(1091654)*a^(10) + (22105561)/(1091654)*a^(9) + (12556812)/(545827)*a^(8) + (52500295)/(1091654)*a^(7) + (59206261)/(1091654)*a^(6) - (6385549)/(545827)*a^(5) - (7276866)/(545827)*a^(4) - (26237152)/(545827)*a^(3) - (29926400)/(545827)*a^(2) + (10469831)/(545827)*a + (11294330)/(545827) , (202254)/(545827)*a^(17) + (129708)/(545827)*a^(16) + (310167)/(1091654)*a^(15) + (128927)/(545827)*a^(14) - (6602233)/(1091654)*a^(13) - (2101810)/(545827)*a^(12) - (11121265)/(1091654)*a^(11) - (4017496)/(545827)*a^(10) + (9821230)/(545827)*a^(9) + (11171527)/(1091654)*a^(8) + (39446211)/(1091654)*a^(7) + (27446503)/(1091654)*a^(6) - (8440444)/(545827)*a^(5) - (6133987)/(1091654)*a^(4) - (21531162)/(545827)*a^(3) - (13693835)/(545827)*a^(2) + (10389395)/(545827)*a + (9138507)/(1091654) ], 108132.523536, [[x^3 - x^2 - 3*x + 1, 1], [x^9 - 2*x^8 - 3*x^7 + 9*x^6 - x^5 - 14*x^4 + 10*x^3 + 7*x^2 - 7*x + 1, 1]]]