/* 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 - 7*x^17 + 40*x^16 - 154*x^15 + 627*x^14 - 1979*x^13 + 6508*x^12 - 16865*x^11 + 47380*x^10 - 103535*x^9 + 254065*x^8 - 459765*x^7 + 999805*x^6 - 1439914*x^5 + 2800752*x^4 - 2907231*x^3 + 5123532*x^2 - 2913750*x + 4775041, 18, 1, [0, 9], -11088656920413061413017818359375, [3, 5, 19], [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, 1/7411501356656592181466203321313077133973321331*a^17 + 1682738557907462545045773902922109084413913964/7411501356656592181466203321313077133973321331*a^16 + 807522237229070266785860172624574478394746143/7411501356656592181466203321313077133973321331*a^15 + 3398915715717610630137767161978683054574047668/7411501356656592181466203321313077133973321331*a^14 + 2803081509103715947408754993061402201436382873/7411501356656592181466203321313077133973321331*a^13 - 2298919975841044920010086129573228354087374348/7411501356656592181466203321313077133973321331*a^12 + 424812794607696096264682100288037127173099089/7411501356656592181466203321313077133973321331*a^11 - 2550839963118580214330867815738611093421574762/7411501356656592181466203321313077133973321331*a^10 - 2285797400678778670964227612058408818528450861/7411501356656592181466203321313077133973321331*a^9 + 2623412566824055181176797016160328164037023527/7411501356656592181466203321313077133973321331*a^8 + 367009032232930439810849131902243081927375967/7411501356656592181466203321313077133973321331*a^7 + 139159286028700338682990362052094353250244097/7411501356656592181466203321313077133973321331*a^6 + 2816671644350102722163992888380535265358707326/7411501356656592181466203321313077133973321331*a^5 + 149896263902877470385714319453385511949720650/7411501356656592181466203321313077133973321331*a^4 + 2633693025092469994085482100065244444696004381/7411501356656592181466203321313077133973321331*a^3 - 211392910844076151177367916561474670881743050/7411501356656592181466203321313077133973321331*a^2 + 3310924754130500478352795312724776283878867870/7411501356656592181466203321313077133973321331*a - 121516822687688678596241730506059675462611316/7411501356656592181466203321313077133973321331], 1, 3258, [3258], 1, [ (555897937058584836009403368831902993828)/(7411501356656592181466203321313077133973321331)*a^(17) - (6033002179387782870746069867995158185843)/(7411501356656592181466203321313077133973321331)*a^(16) + (35877502599004724426929042038476563597906)/(7411501356656592181466203321313077133973321331)*a^(15) - (166589287127272221079330734850666462277780)/(7411501356656592181466203321313077133973321331)*a^(14) + (651774711014006301831406616551531101649332)/(7411501356656592181466203321313077133973321331)*a^(13) - (2402001829643831489974417303597203527952405)/(7411501356656592181466203321313077133973321331)*a^(12) + (7600176773984441945882340701895949644639210)/(7411501356656592181466203321313077133973321331)*a^(11) - (23311525106880434178910694786280661356822575)/(7411501356656592181466203321313077133973321331)*a^(10) + (61362945429295592566197532661905714199560120)/(7411501356656592181466203321313077133973321331)*a^(9) - (165126463804019550327324186375170269926094447)/(7411501356656592181466203321313077133973321331)*a^(8) + (366435372553082844956320400217856305576671818)/(7411501356656592181466203321313077133973321331)*a^(7) - (893077671366138265154185134037426984172203538)/(7411501356656592181466203321313077133973321331)*a^(6) + (1635815254186412164932988558320032639300183551)/(7411501356656592181466203321313077133973321331)*a^(5) - (3892179435839439504803087832405641259821460450)/(7411501356656592181466203321313077133973321331)*a^(4) + (5501168427623212642255606340752697121066539481)/(7411501356656592181466203321313077133973321331)*a^(3) - (11258545529444817505392350593949144433804647584)/(7411501356656592181466203321313077133973321331)*a^(2) + (8871898985910877862331315013621166042876007924)/(7411501356656592181466203321313077133973321331)*a - (26999589439788157376608620860284143101410447923)/(7411501356656592181466203321313077133973321331) , (2023695749377921380054358427942138529698)/(7411501356656592181466203321313077133973321331)*a^(17) - (13431971339485781388358031466039851939951)/(7411501356656592181466203321313077133973321331)*a^(16) + (77248345395067855943368356318663194310866)/(7411501356656592181466203321313077133973321331)*a^(15) - (290963724006168326770151540762996018217012)/(7411501356656592181466203321313077133973321331)*a^(14) + (1206670016420508652448672331363556080151030)/(7411501356656592181466203321313077133973321331)*a^(13) - (3727446235315655235818942471491479661021493)/(7411501356656592181466203321313077133973321331)*a^(12) + (12507489734115600468471502065100299484740040)/(7411501356656592181466203321313077133973321331)*a^(11) - (31675972333193064813322174205641991383306355)/(7411501356656592181466203321313077133973321331)*a^(10) + (91700480992369599669769762606217858523849350)/(7411501356656592181466203321313077133973321331)*a^(9) - (194354571630306086532141884864833240510137815)/(7411501356656592181466203321313077133973321331)*a^(8) + (499536206652558327321101724750287940255700686)/(7411501356656592181466203321313077133973321331)*a^(7) - (863874059163002282118301440356601503767086536)/(7411501356656592181466203321313077133973321331)*a^(6) + (2037902934808360676903189674889102552887267391)/(7411501356656592181466203321313077133973321331)*a^(5) - (2712904000958786030054490903127341502058024052)/(7411501356656592181466203321313077133973321331)*a^(4) + (6257507634902038798404302940414950250210451095)/(7411501356656592181466203321313077133973321331)*a^(3) - (5505181413520310673582464206993524775260490431)/(7411501356656592181466203321313077133973321331)*a^(2) + (9539401309835717609364508677852512167626071247)/(7411501356656592181466203321313077133973321331)*a - (1857041649459202456883688376644194511545855173)/(7411501356656592181466203321313077133973321331) , (74266379567594951383516613887731531600)/(7411501356656592181466203321313077133973321331)*a^(17) + (18672467406776504647833261758266482054075)/(7411501356656592181466203321313077133973321331)*a^(16) - (126228174174496480279761158448444574582350)/(7411501356656592181466203321313077133973321331)*a^(15) + (435915286465738227342540800643121678568325)/(7411501356656592181466203321313077133973321331)*a^(14) - (1115906442880449375045379871530262491644225)/(7411501356656592181466203321313077133973321331)*a^(13) + (3926124490624791886839524121344526637825350)/(7411501356656592181466203321313077133973321331)*a^(12) - (12140268946496519182106712701986047625302825)/(7411501356656592181466203321313077133973321331)*a^(11) + (27341619805605462955848102760057643009861259)/(7411501356656592181466203321313077133973321331)*a^(10) - (53219694232358486138878415944422744733962760)/(7411501356656592181466203321313077133973321331)*a^(9) + (118577892067994610421919888257815506487695160)/(7411501356656592181466203321313077133973321331)*a^(8) - (236469523531459213837068409445624963604199575)/(7411501356656592181466203321313077133973321331)*a^(7) + (334049122751444420788584751437535374253971285)/(7411501356656592181466203321313077133973321331)*a^(6) - (488710296758156570586389873816060140895019444)/(7411501356656592181466203321313077133973321331)*a^(5) + (539316155871482463652628063284578369941407830)/(7411501356656592181466203321313077133973321331)*a^(4) - (728596694625596882823869871993597613258340055)/(7411501356656592181466203321313077133973321331)*a^(3) - (34325960877835374766173561782754172594119450)/(7411501356656592181466203321313077133973321331)*a^(2) - (288320873059293235973987038226048109582500940)/(7411501356656592181466203321313077133973321331)*a - (1081933777125692722333928222557374104086208812)/(7411501356656592181466203321313077133973321331) , (74266379567594951383516613887731531600)/(7411501356656592181466203321313077133973321331)*a^(17) + (18672467406776504647833261758266482054075)/(7411501356656592181466203321313077133973321331)*a^(16) - (126228174174496480279761158448444574582350)/(7411501356656592181466203321313077133973321331)*a^(15) + (435915286465738227342540800643121678568325)/(7411501356656592181466203321313077133973321331)*a^(14) - (1115906442880449375045379871530262491644225)/(7411501356656592181466203321313077133973321331)*a^(13) + (3926124490624791886839524121344526637825350)/(7411501356656592181466203321313077133973321331)*a^(12) - (12140268946496519182106712701986047625302825)/(7411501356656592181466203321313077133973321331)*a^(11) + (27341619805605462955848102760057643009861259)/(7411501356656592181466203321313077133973321331)*a^(10) - (53219694232358486138878415944422744733962760)/(7411501356656592181466203321313077133973321331)*a^(9) + (118577892067994610421919888257815506487695160)/(7411501356656592181466203321313077133973321331)*a^(8) - (236469523531459213837068409445624963604199575)/(7411501356656592181466203321313077133973321331)*a^(7) + (334049122751444420788584751437535374253971285)/(7411501356656592181466203321313077133973321331)*a^(6) - (488710296758156570586389873816060140895019444)/(7411501356656592181466203321313077133973321331)*a^(5) + (539316155871482463652628063284578369941407830)/(7411501356656592181466203321313077133973321331)*a^(4) - (728596694625596882823869871993597613258340055)/(7411501356656592181466203321313077133973321331)*a^(3) - (34325960877835374766173561782754172594119450)/(7411501356656592181466203321313077133973321331)*a^(2) - (288320873059293235973987038226048109582500940)/(7411501356656592181466203321313077133973321331)*a - (8493435133782284903800131543870451238059530143)/(7411501356656592181466203321313077133973321331) , (24043489964449120091157085549697834183700)/(7411501356656592181466203321313077133973321331)*a^(17) - (149055198534087897731413409171886942724725)/(7411501356656592181466203321313077133973321331)*a^(16) + (805094109086530525931650241340969979439550)/(7411501356656592181466203321313077133973321331)*a^(15) - (2799468208069818955070118383324786563143095)/(7411501356656592181466203321313077133973321331)*a^(14) + (11259080436683634345844496089212756829178015)/(7411501356656592181466203321313077133973321331)*a^(13) - (32322779788553503680491722903216220479881700)/(7411501356656592181466203321313077133973321331)*a^(12) + (103936561139860008472282835774608114667807455)/(7411501356656592181466203321313077133973321331)*a^(11) - (236815373446283599527637858420115731422102740)/(7411501356656592181466203321313077133973321331)*a^(10) + (655066457149615719602886955811755605719363995)/(7411501356656592181466203321313077133973321331)*a^(9) - (1190262867606097371796445486571927968343536565)/(7411501356656592181466203321313077133973321331)*a^(8) + (2940625987436628486548790492168952152943980525)/(7411501356656592181466203321313077133973321331)*a^(7) - (3987476228492582074536994775150468779471573335)/(7411501356656592181466203321313077133973321331)*a^(6) + (9053132770936608217510627095660631279275361994)/(7411501356656592181466203321313077133973321331)*a^(5) - (6979264931562725959565726670961841573463954495)/(7411501356656592181466203321313077133973321331)*a^(4) + (17855484012109397268905444198694533629063983360)/(7411501356656592181466203321313077133973321331)*a^(3) - (912722682254635323871678737556371082642807575)/(7411501356656592181466203321313077133973321331)*a^(2) + (17059913001864276769312438630659295835543844930)/(7411501356656592181466203321313077133973321331)*a + (11821916785498222847195464108124877367246217732)/(7411501356656592181466203321313077133973321331) , (607857561266001020589130556889400918628)/(7411501356656592181466203321313077133973321331)*a^(17) + (23692459718633727868491195570786052007614)/(7411501356656592181466203321313077133973321331)*a^(16) - (236322775632042752587411141418845226157634)/(7411501356656592181466203321313077133973321331)*a^(15) + (1629851339559928222921473207871758503796993)/(7411501356656592181466203321313077133973321331)*a^(14) - (7010732557315620191953748562213228449787329)/(7411501356656592181466203321313077133973321331)*a^(13) + (27066150776888442809379881599959505336204573)/(7411501356656592181466203321313077133973321331)*a^(12) - (84565013679099209154641236229545725262969783)/(7411501356656592181466203321313077133973321331)*a^(11) + (265629286927578367535450606289666223591401483)/(7411501356656592181466203321313077133973321331)*a^(10) - (680862442376984729186317172992980563654173763)/(7411501356656592181466203321313077133973321331)*a^(9) + (1762575148405998811768862289969159050154036701)/(7411501356656592181466203321313077133973321331)*a^(8) - (3649033883058327297023732397610199244247652345)/(7411501356656592181466203321313077133973321331)*a^(7) + (8076598324697910584287623223685393273165200882)/(7411501356656592181466203321313077133973321331)*a^(6) - (13213263273748092879205825148078222624816900752)/(7411501356656592181466203321313077133973321331)*a^(5) + (25306091845636219959297510764331634162568119359)/(7411501356656592181466203321313077133973321331)*a^(4) - (29495141151775146872385537636175439647407999332)/(7411501356656592181466203321313077133973321331)*a^(3) + (49397116877553625703898055764313336690799836151)/(7411501356656592181466203321313077133973321331)*a^(2) - (31400503822448191266421484892428672413361240244)/(7411501356656592181466203321313077133973321331)*a + (50484413355539075085689578210999182243436586208)/(7411501356656592181466203321313077133973321331) , (34112411589668824024775333780700366386550)/(7411501356656592181466203321313077133973321331)*a^(17) - (239998795322969395182275463296672921077740)/(7411501356656592181466203321313077133973321331)*a^(16) + (1215333540630595799579751512696837922680190)/(7411501356656592181466203321313077133973321331)*a^(15) - (4365283830587527087077262414037685502858260)/(7411501356656592181466203321313077133973321331)*a^(14) + (16447263370499739433221253240078339258138194)/(7411501356656592181466203321313077133973321331)*a^(13) - (50442827157172726945303857828823320836004023)/(7411501356656592181466203321313077133973321331)*a^(12) + (152957379572288982535750025524511551763370168)/(7411501356656592181466203321313077133973321331)*a^(11) - (380384067572022689964019378450968579089056176)/(7411501356656592181466203321313077133973321331)*a^(10) + (970600287106839859657109893253171912683093105)/(7411501356656592181466203321313077133973321331)*a^(9) - (2045207744784632286977495307510486444983696847)/(7411501356656592181466203321313077133973321331)*a^(8) + (4490145266480971720109143080852424978236532374)/(7411501356656592181466203321313077133973321331)*a^(7) - (7871426388115858209590501694820969508853721002)/(7411501356656592181466203321313077133973321331)*a^(6) + (14356758513021887558752949300731090130725882317)/(7411501356656592181466203321313077133973321331)*a^(5) - (20300408820337975042112253451889931361631643672)/(7411501356656592181466203321313077133973321331)*a^(4) + (30243297564408802204593323824460043503848319092)/(7411501356656592181466203321313077133973321331)*a^(3) - (32036543750119520630163341234218607976939618285)/(7411501356656592181466203321313077133973321331)*a^(2) + (31338264850766087589177793169771099816269344267)/(7411501356656592181466203321313077133973321331)*a - 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