/* 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 - 6*x^17 + 14*x^16 - 12*x^15 + 144*x^13 - 335*x^12 + 900*x^11 - 1050*x^10 + 1470*x^9 - 760*x^8 - 36*x^7 + 127*x^6 - 1038*x^5 + 132*x^4 + 990*x^3 - 504*x^2 + 108*x - 27, 18, 12, [2, 8], 1115906277282951168000000000000, [2, 3, 5, 7], [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, 1/123*a^14 + 16/41*a^13 - 13/123*a^12 - 19/41*a^11 - 9/41*a^10 - 8/41*a^9 - 11/123*a^8 - 13/41*a^7 - 2/41*a^6 + 50/123*a^4 - 6/41*a^3 - 14/123*a^2 + 8/41*a + 4/41, 1/1599*a^15 + 4/1599*a^14 - 772/1599*a^13 + 23/1599*a^12 - 34/533*a^11 + 142/533*a^10 - 185/1599*a^9 - 170/1599*a^8 + 6/41*a^7 - 158/533*a^6 + 419/1599*a^5 - 250/1599*a^4 - 329/1599*a^3 + 517/1599*a^2 - 61/533*a - 12/533, 1/897039*a^16 + 1/17589*a^15 + 521/897039*a^14 - 47174/299013*a^13 + 7444/27183*a^12 + 3046/7667*a^11 - 229061/897039*a^10 + 136912/299013*a^9 + 17348/299013*a^8 + 116530/299013*a^7 - 393061/897039*a^6 - 80398/299013*a^5 - 163100/897039*a^4 + 14429/99671*a^3 + 12509/99671*a^2 - 18800/99671*a - 37979/99671, 1/6229514177597997*a^17 + 1020675559/6229514177597997*a^16 + 1265987400779/6229514177597997*a^15 + 21572351785199/6229514177597997*a^14 - 400656381002309/2076504725865999*a^13 + 77429511719360/692168241955333*a^12 + 1795882861772422/6229514177597997*a^11 - 2062114242250367/6229514177597997*a^10 - 177402729942247/2076504725865999*a^9 - 814603322678044/2076504725865999*a^8 - 2197367102191276/6229514177597997*a^7 - 2263839710702764/6229514177597997*a^6 + 2176520363292895/6229514177597997*a^5 + 2177015912167579/6229514177597997*a^4 + 96586800843881/2076504725865999*a^3 - 29123844934163/188773156896909*a^2 - 329276049792087/692168241955333*a + 142874608006781/692168241955333], 0, 6, [6], 1, [ (415536079706945)/(692168241955333)*a^(17) - (6390193281165316)/(2076504725865999)*a^(16) + (11851752199390585)/(2076504725865999)*a^(15) - (24186871405457)/(11104303346877)*a^(14) - (4088458699343578)/(2076504725865999)*a^(13) + (58657609196405105)/(692168241955333)*a^(12) - (87927365165470940)/(692168241955333)*a^(11) + (889172132818886234)/(2076504725865999)*a^(10) - (529060321887591944)/(2076504725865999)*a^(9) + (453042151749219993)/(692168241955333)*a^(8) + (6277544061664242)/(53243710919641)*a^(7) + (8869561523837591)/(122147336815647)*a^(6) + (284197047271463597)/(2076504725865999)*a^(5) - (1054302488021351695)/(2076504725865999)*a^(4) - (58387868207290013)/(159731132758923)*a^(3) + (193027291705153944)/(692168241955333)*a^(2) - (2143049170613419)/(40715778938549)*a + (12647328727791101)/(692168241955333) , (17068241995945)/(692168241955333)*a^(17) - (228030052237067)/(2076504725865999)*a^(16) + (314375025697589)/(2076504725865999)*a^(15) + (9323113900829)/(159731132758923)*a^(14) - (257696307828170)/(2076504725865999)*a^(13) + (2369169882164953)/(692168241955333)*a^(12) - (1993800958784608)/(692168241955333)*a^(11) + (29799298262936044)/(2076504725865999)*a^(10) + (2050628011347440)/(2076504725865999)*a^(9) + (14667012884999285)/(692168241955333)*a^(8) + (15424802269268718)/(692168241955333)*a^(7) + (17310123268656971)/(2076504725865999)*a^(6) + (16774762615843153)/(2076504725865999)*a^(5) - (34771389275947316)/(2076504725865999)*a^(4) - (5362388080253567)/(188773156896909)*a^(3) + (70617779533116)/(692168241955333)*a^(2) + (3224122864365203)/(692168241955333)*a + (4482868923035)/(53243710919641) , (891903124789982)/(6229514177597997)*a^(17) - (270817945303102)/(366442010446941)*a^(16) + (8628854747715511)/(6229514177597997)*a^(15) - (3464854063003468)/(6229514177597997)*a^(14) - (983580890417980)/(2076504725865999)*a^(13) + (14004984469715366)/(692168241955333)*a^(12) - (17552559536919458)/(566319470690727)*a^(11) + (640704506555198464)/(6229514177597997)*a^(10) - (132733474715945230)/(2076504725865999)*a^(9) + (108437490304452256)/(692168241955333)*a^(8) + (13094575016208776)/(566319470690727)*a^(7) + (90004351271550530)/(6229514177597997)*a^(6) + (186615819007639298)/(6229514177597997)*a^(5) - (68986991699319562)/(566319470690727)*a^(4) - (58418042428715727)/(692168241955333)*a^(3) + (145127151090683108)/(2076504725865999)*a^(2) - (8880824957479448)/(692168241955333)*a + (193695003411521)/(40715778938549) , (144488927611882)/(151939370185317)*a^(17) - (3391440914317813)/(692168241955333)*a^(16) + (57057643121406832)/(6229514177597997)*a^(15) - (7563225007389911)/(2076504725865999)*a^(14) - (6430182047911651)/(2076504725865999)*a^(13) + (278902389214143953)/(2076504725865999)*a^(12) - (1275287607139005973)/(6229514177597997)*a^(11) + (1416537831973872100)/(2076504725865999)*a^(10) - (290745806286406857)/(692168241955333)*a^(9) + (720647696220196422)/(692168241955333)*a^(8) + (996593579381855212)/(6229514177597997)*a^(7) + (209133636529401653)/(2076504725865999)*a^(6) + (1277140626343887311)/(6229514177597997)*a^(5) - (1685340978792132113)/(2076504725865999)*a^(4) - (1172326411442917378)/(2076504725865999)*a^(3) + (967790176487051779)/(2076504725865999)*a^(2) - (59299356464094515)/(692168241955333)*a + (21343948336646530)/(692168241955333) , (817524365)/(53084457547)*a^(17) - (13147860205)/(159253372641)*a^(16) + (26316097006)/(159253372641)*a^(15) - (15111959120)/(159253372641)*a^(14) - (3230122129)/(159253372641)*a^(13) + (114854913143)/(53084457547)*a^(12) - (200353651318)/(53084457547)*a^(11) + (1880273764388)/(159253372641)*a^(10) - (1530431741447)/(159253372641)*a^(9) + (1005827907704)/(53084457547)*a^(8) - (3779876184)/(1294742867)*a^(7) + (258116926207)/(159253372641)*a^(6) + (28946501729)/(159253372641)*a^(5) - (2582275527181)/(159253372641)*a^(4) - (1222759581359)/(159253372641)*a^(3) + (414852899238)/(53084457547)*a^(2) - (71915466701)/(53084457547)*a + (14034302383)/(53084457547) , (3973699007478004)/(6229514177597997)*a^(17) - (2193386363752853)/(692168241955333)*a^(16) + (34849971361564592)/(6229514177597997)*a^(15) - (3271898188417132)/(2076504725865999)*a^(14) - (4382290270937005)/(2076504725865999)*a^(13) + (186270226528760494)/(2076504725865999)*a^(12) - (44296047333590941)/(366442010446941)*a^(11) + (914128091431707677)/(2076504725865999)*a^(10) - (38826181951512209)/(188773156896909)*a^(9) + (472786900599127539)/(692168241955333)*a^(8) + (1426631380123692773)/(6229514177597997)*a^(7) + (301795342834729714)/(2076504725865999)*a^(6) + (1169901889426411255)/(6229514177597997)*a^(5) - (1030761434972019061)/(2076504725865999)*a^(4) - (315329908958644531)/(692168241955333)*a^(3) + (32566613573052896)/(159731132758923)*a^(2) - (2741187792585027)/(53243710919641)*a + (8662211084644794)/(692168241955333) , (17488356821766530)/(2076504725865999)*a^(17) - (20811135172639852)/(479193398276769)*a^(16) + (56261474518173836)/(692168241955333)*a^(15) - (202572860211586424)/(6229514177597997)*a^(14) - (3348861009634375)/(122147336815647)*a^(13) + (63341118577659264)/(53243710919641)*a^(12) - (3775329066202640257)/(2076504725865999)*a^(11) + (37667375889897393755)/(6229514177597997)*a^(10) - (2591490212567473279)/(692168241955333)*a^(9) + (19152014458336244273)/(2076504725865999)*a^(8) + (953132332486868295)/(692168241955333)*a^(7) + (5343984780629656210)/(6229514177597997)*a^(6) + (3723506324110500713)/(2076504725865999)*a^(5) - (45051185300614744720)/(6229514177597997)*a^(4) - (10354271839808963867)/(2076504725865999)*a^(3) + (8579195362613725294)/(2076504725865999)*a^(2) - (526040275523444701)/(692168241955333)*a + (187392512186652932)/(692168241955333) , (165545487382078)/(6229514177597997)*a^(17) - (26413126242943)/(188773156896909)*a^(16) + (1640985031542680)/(6229514177597997)*a^(15) - (62036611080949)/(692168241955333)*a^(14) - (337780030619935)/(2076504725865999)*a^(13) + (7989191473148792)/(2076504725865999)*a^(12) - (38705863411032986)/(6229514177597997)*a^(11) + (12893960561514534)/(692168241955333)*a^(10) - (25295740518949018)/(2076504725865999)*a^(9) + (4349067782252104)/(188773156896909)*a^(8) + (42087074857750382)/(6229514177597997)*a^(7) - (868773811844896)/(62924385632303)*a^(6) + (61634805661112308)/(6229514177597997)*a^(5) - (3948973075345885)/(122147336815647)*a^(4) - (9317545222883468)/(692168241955333)*a^(3) + (53214519531368491)/(2076504725865999)*a^(2) - (217096978138779)/(62924385632303)*a + (1112849106168717)/(692168241955333) , (87395385399743)/(479193398276769)*a^(17) - (443591422008884)/(479193398276769)*a^(16) + (796852420347928)/(479193398276769)*a^(15) - (217670979466366)/(479193398276769)*a^(14) - (134955349342399)/(159731132758923)*a^(13) + (242144130517913)/(9395948985819)*a^(12) - (1620208704195182)/(43563036206979)*a^(11) + (59786560447407118)/(479193398276769)*a^(10) - (10565589627212251)/(159731132758923)*a^(9) + (28523410077615524)/(159731132758923)*a^(8) + (2345073480063254)/(43563036206979)*a^(7) - (76875269272495)/(479193398276769)*a^(6) + (16551060425355773)/(479193398276769)*a^(5) - (6695727711492685)/(43563036206979)*a^(4) - (6610242632645719)/(53243710919641)*a^(3) + (386276050515896)/(3895881286803)*a^(2) + (314928330806183)/(53243710919641)*a - (282985004427882)/(53243710919641) ], 48971143.43571596, [[x^2 - 3, 1], [x^3 - 35, 1], [x^3 - x^2 + 5*x + 1, 1], [x^3 - x^2 - 23*x + 57, 1], [x^3 - x^2 - 3*x - 3, 1], [x^6 - x^4 - 14*x^3 - 23*x^2 - 14*x + 1, 1], [x^6 - x^4 - 23*x^2 - 48, 1], [x^6 - x^4 - 233*x^2 - 4563, 1], [x^6 - x^4 + 7*x^2 - 3, 1], [x^9 - 3*x^8 + 4*x^7 + 5*x^6 - 38*x^5 + 83*x^4 - 111*x^3 + 104*x^2 - 24*x + 6, 1]]]