/* 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 - 5*x^17 + 6*x^16 + 17*x^15 - 51*x^14 + 3*x^13 + 95*x^12 + 36*x^11 - 271*x^10 + 21*x^9 + 386*x^8 - 134*x^7 - 284*x^6 + 169*x^5 + 60*x^4 - 64*x^3 + 15*x^2 + 2*x - 1, 18, 556, [6, 6], 351641395308603027968000, [2, 5, 37, 16361], [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, 1/75196401137017*a^17 - 27103573181437/75196401137017*a^16 - 32320060593044/75196401137017*a^15 + 23219295634751/75196401137017*a^14 + 14089223622106/75196401137017*a^13 - 32624228915284/75196401137017*a^12 + 12160077037609/75196401137017*a^11 + 13613912526387/75196401137017*a^10 - 14498506033592/75196401137017*a^9 - 31352041513204/75196401137017*a^8 - 13368529339725/75196401137017*a^7 - 33178434020005/75196401137017*a^6 - 35108460893343/75196401137017*a^5 + 10351622246106/75196401137017*a^4 - 12533347656145/75196401137017*a^3 - 25942531013170/75196401137017*a^2 + 2856332127062/75196401137017*a - 6102761568477/75196401137017], 0, 1, [], 1, [ (2797293810836)/(75196401137017)*a^(17) - (5677895055018)/(75196401137017)*a^(16) - (22007847069471)/(75196401137017)*a^(15) + (82341410630918)/(75196401137017)*a^(14) + (20547885547667)/(75196401137017)*a^(13) - (371787946390800)/(75196401137017)*a^(12) + (129348543557824)/(75196401137017)*a^(11) + (932041157111784)/(75196401137017)*a^(10) - (163119056800131)/(75196401137017)*a^(9) - (2125854317965501)/(75196401137017)*a^(8) + (323118651289664)/(75196401137017)*a^(7) + (3019235261766912)/(75196401137017)*a^(6) - (613791590725640)/(75196401137017)*a^(5) - (2226417940667559)/(75196401137017)*a^(4) + (535885126471465)/(75196401137017)*a^(3) + (669604822330674)/(75196401137017)*a^(2) - (197156655666311)/(75196401137017)*a + (47611421336271)/(75196401137017) , (30247538071669)/(75196401137017)*a^(17) - (146791662166198)/(75196401137017)*a^(16) + (155514515977753)/(75196401137017)*a^(15) + (553342851395851)/(75196401137017)*a^(14) - (1471883535682996)/(75196401137017)*a^(13) - (189786498088629)/(75196401137017)*a^(12) + (2958939551591285)/(75196401137017)*a^(11) + (1585204537139746)/(75196401137017)*a^(10) - (8097287507533465)/(75196401137017)*a^(9) - (910281513441982)/(75196401137017)*a^(8) + (12038797681623502)/(75196401137017)*a^(7) - (2047419344375264)/(75196401137017)*a^(6) - (9403674383079755)/(75196401137017)*a^(5) + (3616606369832119)/(75196401137017)*a^(4) + (2664859746300674)/(75196401137017)*a^(3) - (1461801296747843)/(75196401137017)*a^(2) + (192310109537403)/(75196401137017)*a + (74223888745921)/(75196401137017) , (20052270726308)/(75196401137017)*a^(17) - (110637902493085)/(75196401137017)*a^(16) + (153618530688335)/(75196401137017)*a^(15) + (349808189462913)/(75196401137017)*a^(14) - (1223794859668169)/(75196401137017)*a^(13) + (229808035451991)/(75196401137017)*a^(12) + (2412945114052608)/(75196401137017)*a^(11) + (367852274378365)/(75196401137017)*a^(10) - (6954609300499748)/(75196401137017)*a^(9) + (1179561329074691)/(75196401137017)*a^(8) + (10340360998760354)/(75196401137017)*a^(7) - (3512423323538988)/(75196401137017)*a^(6) - (8313603577488881)/(75196401137017)*a^(5) + (3919138454119758)/(75196401137017)*a^(4) + (2540498699151499)/(75196401137017)*a^(3) - (1469557633029863)/(75196401137017)*a^(2) + (134626699120138)/(75196401137017)*a + (73514239053710)/(75196401137017) , (2797293810836)/(75196401137017)*a^(17) - (5677895055018)/(75196401137017)*a^(16) - (22007847069471)/(75196401137017)*a^(15) + (82341410630918)/(75196401137017)*a^(14) + (20547885547667)/(75196401137017)*a^(13) - (371787946390800)/(75196401137017)*a^(12) + (129348543557824)/(75196401137017)*a^(11) + (932041157111784)/(75196401137017)*a^(10) - (163119056800131)/(75196401137017)*a^(9) - (2125854317965501)/(75196401137017)*a^(8) + (323118651289664)/(75196401137017)*a^(7) + (3019235261766912)/(75196401137017)*a^(6) - (613791590725640)/(75196401137017)*a^(5) - (2226417940667559)/(75196401137017)*a^(4) + (535885126471465)/(75196401137017)*a^(3) + (669604822330674)/(75196401137017)*a^(2) - (197156655666311)/(75196401137017)*a - (27584979800746)/(75196401137017) , (8308573999162)/(75196401137017)*a^(17) - (38791609934487)/(75196401137017)*a^(16) + (34787415846706)/(75196401137017)*a^(15) + (163209869900303)/(75196401137017)*a^(14) - (380179827823308)/(75196401137017)*a^(13) - (136394368471596)/(75196401137017)*a^(12) + (831338579921688)/(75196401137017)*a^(11) + (594947565936425)/(75196401137017)*a^(10) - (2184597487993057)/(75196401137017)*a^(9) - (756636759693032)/(75196401137017)*a^(8) + (3394072632418936)/(75196401137017)*a^(7) + (180639851551784)/(75196401137017)*a^(6) - (2699160594698843)/(75196401137017)*a^(5) + (368047497821305)/(75196401137017)*a^(4) + (848631626224178)/(75196401137017)*a^(3) - (239116062828851)/(75196401137017)*a^(2) + (42016833714599)/(75196401137017)*a + (2797293810836)/(75196401137017) , a - 1 , (8308573999162)/(75196401137017)*a^(17) - (38791609934487)/(75196401137017)*a^(16) + (34787415846706)/(75196401137017)*a^(15) + (163209869900303)/(75196401137017)*a^(14) - (380179827823308)/(75196401137017)*a^(13) - (136394368471596)/(75196401137017)*a^(12) + (831338579921688)/(75196401137017)*a^(11) + (594947565936425)/(75196401137017)*a^(10) - (2184597487993057)/(75196401137017)*a^(9) - (756636759693032)/(75196401137017)*a^(8) + (3394072632418936)/(75196401137017)*a^(7) + (180639851551784)/(75196401137017)*a^(6) - (2699160594698843)/(75196401137017)*a^(5) + (368047497821305)/(75196401137017)*a^(4) + (848631626224178)/(75196401137017)*a^(3) - (239116062828851)/(75196401137017)*a^(2) + (42016833714599)/(75196401137017)*a + (77993694947853)/(75196401137017) , (20098304475821)/(75196401137017)*a^(17) - (101251769399837)/(75196401137017)*a^(16) + (109646571704315)/(75196401137017)*a^(15) + (388592153959877)/(75196401137017)*a^(14) - (1041926883651420)/(75196401137017)*a^(13) - (184003960940107)/(75196401137017)*a^(12) + (2246454755643839)/(75196401137017)*a^(11) + (1232867365710304)/(75196401137017)*a^(10) - (6186611543624445)/(75196401137017)*a^(9) - (1133256057633214)/(75196401137017)*a^(8) + (9369490882610526)/(75196401137017)*a^(7) - (153662482835241)/(75196401137017)*a^(6) - (7891293660177448)/(75196401137017)*a^(5) + (1342603327177741)/(75196401137017)*a^(4) + (2783751152505447)/(75196401137017)*a^(3) - (717341034426358)/(75196401137017)*a^(2) - (123906503495702)/(75196401137017)*a + (112817086390819)/(75196401137017) , (35691119852824)/(75196401137017)*a^(17) - (171382904971886)/(75196401137017)*a^(16) + (165049252927459)/(75196401137017)*a^(15) + (694828649097036)/(75196401137017)*a^(14) - (1701710322547978)/(75196401137017)*a^(13) - (500891652151791)/(75196401137017)*a^(12) + (3685013742370794)/(75196401137017)*a^(11) + (2464607817833797)/(75196401137017)*a^(10) - (9915182577623972)/(75196401137017)*a^(9) - (2766550035695279)/(75196401137017)*a^(8) + (15144202321471019)/(75196401137017)*a^(7) + (324014796608649)/(75196401137017)*a^(6) - (12640200097391586)/(75196401137017)*a^(5) + (2011691333034440)/(75196401137017)*a^(4) + (4451200754473619)/(75196401137017)*a^(3) - (1141020725030065)/(75196401137017)*a^(2) - (197387339826011)/(75196401137017)*a + (152425567532333)/(75196401137017) , (9018223691373)/(75196401137017)*a^(17) - (32144591050181)/(75196401137017)*a^(16) + (2891554326859)/(75196401137017)*a^(15) + (177169899957308)/(75196401137017)*a^(14) - (212837300193131)/(75196401137017)*a^(13) - (382354095409790)/(75196401137017)*a^(12) + (479160767141113)/(75196401137017)*a^(11) + (1166489392394698)/(75196401137017)*a^(10) - (1159560291820857)/(75196401137017)*a^(9) - (1884412323190318)/(75196401137017)*a^(8) + (1578154571095709)/(75196401137017)*a^(7) + (1783983475658658)/(75196401137017)*a^(6) - (1435697128123043)/(75196401137017)*a^(5) - (602092509785910)/(75196401137017)*a^(4) + (588678523469199)/(75196401137017)*a^(3) - (160172595981180)/(75196401137017)*a^(2) - (14778485757233)/(75196401137017)*a + (61900003612523)/(75196401137017) , (79772538599624)/(75196401137017)*a^(17) - (355265688669678)/(75196401137017)*a^(16) + (303021767765268)/(75196401137017)*a^(15) + (1449687143248451)/(75196401137017)*a^(14) - (3243965982105819)/(75196401137017)*a^(13) - (1192121372249200)/(75196401137017)*a^(12) + (6385233884923938)/(75196401137017)*a^(11) + (5818742830861210)/(75196401137017)*a^(10) - (17401777722846962)/(75196401137017)*a^(9) - (5871662006184851)/(75196401137017)*a^(8) + (24897150153967908)/(75196401137017)*a^(7) + (142543905640035)/(75196401137017)*a^(6) - (19128444481266578)/(75196401137017)*a^(5) + (5075685595550531)/(75196401137017)*a^(4) + (5222449126231684)/(75196401137017)*a^(3) - (2585118411452331)/(75196401137017)*a^(2) + (260405752923553)/(75196401137017)*a + (211253342183934)/(75196401137017) ], 54759.9507483, [[x^3 - x^2 - 3*x + 1, 1], [x^6 - x^5 - x^3 - x + 1, 1], [x^9 - x^8 - 9*x^7 + 6*x^6 + 22*x^5 - 9*x^4 - 17*x^3 + 5*x^2 + 4*x - 1, 1]]]