/* 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 - 3*x^17 - 63*x^16 + 147*x^15 + 1245*x^14 - 1968*x^13 - 9306*x^12 + 9264*x^11 + 28194*x^10 - 15305*x^9 - 31773*x^8 + 6729*x^7 + 13914*x^6 - 786*x^5 - 2355*x^4 + 57*x^3 + 144*x^2 - 6*x - 1, 18, 49, [18, 0], 1303780692070187898696301025390625, [3, 5, 11], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, 1/3*a^10 - 1/3*a^9 - 1/3*a^8 - 1/3*a^7 - 1/3*a^5 - 1/3*a^3 + 1/3*a^2 - 1/3*a - 1/3, 1/3*a^11 + 1/3*a^9 + 1/3*a^8 - 1/3*a^7 - 1/3*a^6 - 1/3*a^5 - 1/3*a^4 + 1/3*a - 1/3, 1/15*a^12 - 2/15*a^11 + 2/15*a^10 - 2/15*a^9 - 1/15*a^8 - 2/5*a^7 - 2/15*a^6 + 1/5*a^5 + 1/3*a^4 - 7/15*a^3 + 1/3*a^2 - 1/15*a + 1/15, 1/15*a^13 - 2/15*a^11 + 2/15*a^10 - 1/3*a^9 + 7/15*a^8 + 1/15*a^7 - 1/15*a^6 - 4/15*a^5 + 1/5*a^4 + 2/5*a^3 - 2/5*a^2 - 1/15*a + 2/15, 1/30*a^14 - 1/30*a^13 + 1/15*a^10 + 1/10*a^9 + 1/15*a^8 + 11/30*a^7 + 4/15*a^6 - 7/30*a^5 + 13/30*a^4 - 1/30*a^3 + 1/6*a^2 - 2/15*a - 1/6, 1/30*a^15 - 1/30*a^13 + 1/15*a^11 - 1/6*a^10 - 1/2*a^9 - 7/30*a^8 - 1/30*a^7 + 1/30*a^6 - 7/15*a^5 + 2/5*a^4 + 7/15*a^3 - 3/10*a^2 + 1/30*a + 1/6, 1/60*a^16 - 1/60*a^13 - 1/30*a^12 + 1/20*a^11 + 3/20*a^10 + 1/15*a^9 + 1/12*a^8 + 1/10*a^7 - 7/15*a^6 + 23/60*a^5 + 7/60*a^4 - 1/5*a^3 - 7/30*a^2 - 5/12*a - 3/20, 1/3128510590723505270220*a^17 - 149124626755521321/148976694796357393820*a^16 - 1086440315856168989/74488347398178696910*a^15 - 176148569544369983/446930084389072181460*a^14 - 29309133087563912441/1042836863574501756740*a^13 + 12237128454140380297/3128510590723505270220*a^12 - 260599333872013245337/1564255295361752635110*a^11 - 70102934378161838093/446930084389072181460*a^10 + 721719304775710286687/3128510590723505270220*a^9 + 288222447089404827007/625702118144701054044*a^8 + 197490859271754113683/782127647680876317555*a^7 - 685138884102944083451/3128510590723505270220*a^6 + 384367656598138457053/782127647680876317555*a^5 - 196076964259729169051/625702118144701054044*a^4 - 81720838399340175983/521418431787250878370*a^3 + 5517262803393795917/1042836863574501756740*a^2 + 238256398873319359821/521418431787250878370*a + 198456299804807353391/3128510590723505270220], 0, 1, [], 1, [ (131489348587665317814)/(260709215893625439185)*a^(17) - (61639480877737819278)/(37244173699089348455)*a^(16) - (1162718787356501656947)/(37244173699089348455)*a^(15) + (615562196269672664100)/(7448834739817869691)*a^(14) + (31237875933399655524381)/(52141843178725087837)*a^(13) - (299004442063081420899372)/(260709215893625439185)*a^(12) - (1111476509621298655200042)/(260709215893625439185)*a^(11) + (211394492070253649044371)/(37244173699089348455)*a^(10) + (617928499726760444037044)/(52141843178725087837)*a^(9) - (526592190190099626620379)/(52141843178725087837)*a^(8) - (2869882779503216599137087)/(260709215893625439185)*a^(7) + (1263554111156843173681668)/(260709215893625439185)*a^(6) + (932030202614758229018472)/(260709215893625439185)*a^(5) - (35690592971910335224743)/(52141843178725087837)*a^(4) - (15724097719427436040167)/(52141843178725087837)*a^(3) + (11155100918930256581238)/(260709215893625439185)*a^(2) + (305359252244996841138)/(260709215893625439185)*a - (210912095549220681318)/(260709215893625439185) , (37008320381168781504)/(260709215893625439185)*a^(17) - (20685349932486203379)/(37244173699089348455)*a^(16) - (316534661007391646406)/(37244173699089348455)*a^(15) + (214710266418429801615)/(7448834739817869691)*a^(14) + (8046680808511215088284)/(52141843178725087837)*a^(13) - (112163368335514792377042)/(260709215893625439185)*a^(12) - (261644119175644039081701)/(260709215893625439185)*a^(11) + (88224027920976250037528)/(37244173699089348455)*a^(10) + (124103294163256088791725)/(52141843178725087837)*a^(9) - (261585658634534708753427)/(52141843178725087837)*a^(8) - (378762284510443250111262)/(260709215893625439185)*a^(7) + (897512593634017003045524)/(260709215893625439185)*a^(6) + (75102336869646736321911)/(260709215893625439185)*a^(5) - (46207385465362928650227)/(52141843178725087837)*a^(4) - (732041609886666693168)/(52141843178725087837)*a^(3) + (18629106944378808924078)/(260709215893625439185)*a^(2) - (317314780083145786381)/(260709215893625439185)*a - (131489348587665317814)/(260709215893625439185) , (226136799880524047007)/(260709215893625439185)*a^(17) - (23024958897884939650)/(7448834739817869691)*a^(16) - (394358959697281662928)/(7448834739817869691)*a^(15) + (1173007641886396264252)/(7448834739817869691)*a^(14) + (51805913598035849283141)/(52141843178725087837)*a^(13) - (592699198306144620103096)/(260709215893625439185)*a^(12) - (356489473898021247300701)/(52141843178725087837)*a^(11) + (89215695939606538221443)/(7448834739817869691)*a^(10) + (940339399707879666494751)/(52141843178725087837)*a^(9) - (1244748576074703350814671)/(52141843178725087837)*a^(8) - (3915759481972615442982156)/(260709215893625439185)*a^(7) + (785006407840448626079131)/(52141843178725087837)*a^(6) + (231025626646880718106123)/(52141843178725087837)*a^(5) - (183017162501845152621892)/(52141843178725087837)*a^(4) - (17936521998894430345149)/(52141843178725087837)*a^(3) + (71886212137204488343609)/(260709215893625439185)*a^(2) - (345537687987916078048)/(52141843178725087837)*a - (97017862050518022310)/(52141843178725087837) , (17698865811715555487)/(44693008438907218146)*a^(17) - (51838862453056906393)/(44693008438907218146)*a^(16) - (5573676929170818863779)/(223465042194536090730)*a^(15) + (4181979220270298813497)/(74488347398178696910)*a^(14) + (10984109190135420655013)/(22346504219453609073)*a^(13) - (163008245238119143406647)/(223465042194536090730)*a^(12) - (405871283461311307724554)/(111732521097268045365)*a^(11) + (357666504781943116870111)/(111732521097268045365)*a^(10) + (396886893424322092028207)/(37244173699089348455)*a^(9) - (158472745637168453325399)/(37244173699089348455)*a^(8) - (2430196166221447922621531)/(223465042194536090730)*a^(7) - (682268526975451580962)/(111732521097268045365)*a^(6) + (83031864427980436151288)/(22346504219453609073)*a^(5) + (196658613867061604746801)/(223465042194536090730)*a^(4) - (11414935030274105035886)/(37244173699089348455)*a^(3) - (13745122861895042635708)/(111732521097268045365)*a^(2) + (66581427384334173929)/(74488347398178696910)*a + (42062617446038329331)/(111732521097268045365) , (9988302532922226071)/(74488347398178696910)*a^(17) - (29478282712285629131)/(223465042194536090730)*a^(16) - (1034385713581863899053)/(111732521097268045365)*a^(15) + (302910399875539579549)/(111732521097268045365)*a^(14) + (4614565739932651226362)/(22346504219453609073)*a^(13) + (1052407201827209240577)/(14897669479635739382)*a^(12) - (198091949777423495917723)/(111732521097268045365)*a^(11) - (91805427812652881694619)/(74488347398178696910)*a^(10) + (692626436450778144780353)/(111732521097268045365)*a^(9) + (1176215742030050288851483)/(223465042194536090730)*a^(8) - (1788817412923758922426387)/(223465042194536090730)*a^(7) - (505582479514885673669473)/(74488347398178696910)*a^(6) + (679752795003361767716237)/(223465042194536090730)*a^(5) + (101884895430700472783293)/(37244173699089348455)*a^(4) - (56748646359752639057203)/(223465042194536090730)*a^(3) - (32975445646730509109231)/(111732521097268045365)*a^(2) + (524025839155026888817)/(111732521097268045365)*a + (426878667211404702029)/(111732521097268045365) , (144124047758328602413)/(625702118144701054044)*a^(17) - (200720431324237673783)/(223465042194536090730)*a^(16) - (204810150429085276457)/(14897669479635739382)*a^(15) + (20736223823534063893997)/(446930084389072181460)*a^(14) + (387462352136311107584503)/(1564255295361752635110)*a^(13) - (428548696878510835332857)/(625702118144701054044)*a^(12) - (1643296527320753287396103)/(1042836863574501756740)*a^(11) + (137085333629164708386592)/(37244173699089348455)*a^(10) + (10939285508780849759146927)/(3128510590723505270220)*a^(9) - (11520873463771287889277611)/(1564255295361752635110)*a^(8) - (2226119479683571861760533)/(1564255295361752635110)*a^(7) + (13215283648409067532341493)/(3128510590723505270220)*a^(6) - (207326333727688212499781)/(1042836863574501756740)*a^(5) - (428562523213947662475183)/(521418431787250878370)*a^(4) + (243620866599886930290973)/(1564255295361752635110)*a^(3) + (23253372619332172377749)/(625702118144701054044)*a^(2) - (7286719668743232825241)/(625702118144701054044)*a + (92863947575019851317)/(156425529536175263511) , (75026536216759495639)/(1042836863574501756740)*a^(17) - (164912449227469931197)/(446930084389072181460)*a^(16) - (450694836093039778316)/(111732521097268045365)*a^(15) + (8968018334972143369661)/(446930084389072181460)*a^(14) + (67493618667605954583503)/(1042836863574501756740)*a^(13) - (1013602659987185339637703)/(3128510590723505270220)*a^(12) - (255258298985287222751324)/(782127647680876317555)*a^(11) + (879333916819882288353983)/(446930084389072181460)*a^(10) + (216967919845629974346193)/(625702118144701054044)*a^(9) - (14806249307871949349844137)/(3128510590723505270220)*a^(8) + (331658398483568040862809)/(521418431787250878370)*a^(7) + (12210883512558446875360171)/(3128510590723505270220)*a^(6) - (86807355499750274526499)/(312851059072350527022)*a^(5) - (3845921089862737314684701)/(3128510590723505270220)*a^(4) - (53113937219605646802721)/(1564255295361752635110)*a^(3) + (370015167352884483978173)/(3128510590723505270220)*a^(2) + (2174513780916166838339)/(312851059072350527022)*a - (1812627088245747860747)/(1042836863574501756740) , (70419730149418356323)/(782127647680876317555)*a^(17) - (7989187239228643046)/(37244173699089348455)*a^(16) - (220466609371262898418)/(37244173699089348455)*a^(15) + (1117496761284701944789)/(111732521097268045365)*a^(14) + (97949332904943284840074)/(782127647680876317555)*a^(13) - (31672350651952882716522)/(260709215893625439185)*a^(12) - (815209936846935323664377)/(782127647680876317555)*a^(11) + (11324617720193455505851)/(22346504219453609073)*a^(10) + (971729853676899497362431)/(260709215893625439185)*a^(9) - (606409510398339982261888)/(782127647680876317555)*a^(8) - (4362274378184301430810552)/(782127647680876317555)*a^(7) + (171218223555743793666143)/(260709215893625439185)*a^(6) + (2617005823737494499922079)/(782127647680876317555)*a^(5) - (53324445560822324835598)/(156425529536175263511)*a^(4) - (205103065872193085658494)/(260709215893625439185)*a^(3) + (20202136522763887619243)/(260709215893625439185)*a^(2) + (45247637983770419985871)/(782127647680876317555)*a - (1886068849968926166498)/(260709215893625439185) , (495734877946729263593)/(446930084389072181460)*a^(17) - (1703258631773461447897)/(446930084389072181460)*a^(16) - (7605830544909969234974)/(111732521097268045365)*a^(15) + (85917112413179868927553)/(446930084389072181460)*a^(14) + (575681213404280839629181)/(446930084389072181460)*a^(13) - (1215764109426852865267103)/(446930084389072181460)*a^(12) - (2002733392274717309091467)/(223465042194536090730)*a^(11) + (6189317621335876324074439)/(446930084389072181460)*a^(10) + (10724568889194809874097087)/(446930084389072181460)*a^(9) - (3842163057558718174541849)/(148976694796357393820)*a^(8) - (2296775345538570099362297)/(111732521097268045365)*a^(7) + (6040833072250543821211879)/(446930084389072181460)*a^(6) + (1418828725644182861283347)/(223465042194536090730)*a^(5) - (1018373311852517369635409)/(446930084389072181460)*a^(4) - (21424401110723846442053)/(37244173699089348455)*a^(3) + (20152440003284867968909)/(148976694796357393820)*a^(2) + (442486141761721969546)/(111732521097268045365)*a - (562125801537553946273)/(446930084389072181460) , (285829654056726115838)/(156425529536175263511)*a^(17) - (769495603719851586267)/(148976694796357393820)*a^(16) - (12963518070335065296937)/(111732521097268045365)*a^(15) + (5553980755531800814691)/(22346504219453609073)*a^(14) + (7253984159342932993098731)/(3128510590723505270220)*a^(13) - (4999298642253248192460311)/(1564255295361752635110)*a^(12) - (54972749941810344704128777)/(3128510590723505270220)*a^(11) + (6214849849742576639264083)/(446930084389072181460)*a^(10) + (42256432097415100438360346)/(782127647680876317555)*a^(9) - (58551951241794634961365991)/(3128510590723505270220)*a^(8) - (96372071914819579292975651)/(1564255295361752635110)*a^(7) + (1430222973473262602743451)/(782127647680876317555)*a^(6) + (81644044721466089857701523)/(3128510590723505270220)*a^(5) + (3070645198752866157315381)/(1042836863574501756740)*a^(4) - (205695146804038167921052)/(52141843178725087837)*a^(3) - (851474315971731065681393)/(1564255295361752635110)*a^(2) + (616398705973650330054427)/(3128510590723505270220)*a + (66151752777950412916283)/(3128510590723505270220) , (767704884282454319207)/(521418431787250878370)*a^(17) - (119122704748167068359)/(22346504219453609073)*a^(16) - (9994715766549283814308)/(111732521097268045365)*a^(15) + (20259892454087064984637)/(74488347398178696910)*a^(14) + (1301728307405052742505771)/(782127647680876317555)*a^(13) - (6152046009693823053653617)/(1564255295361752635110)*a^(12) - (1174113782318022795174391)/(104283686357450175674)*a^(11) + (461936329003929121527106)/(22346504219453609073)*a^(10) + (44784805788535163302231979)/(1564255295361752635110)*a^(9) - (10585351953671126991917564)/(260709215893625439185)*a^(8) - (16632881231208736013623724)/(782127647680876317555)*a^(7) + (7473186041749067486045861)/(312851059072350527022)*a^(6) + (2623439151121329938992113)/(521418431787250878370)*a^(5) - (3857080759458895321522361)/(782127647680876317555)*a^(4) - (14604512232406440623198)/(156425529536175263511)*a^(3) + (169691030823117636564001)/(521418431787250878370)*a^(2) - (18832548653222252307631)/(521418431787250878370)*a + (13297500066948957576)/(52141843178725087837) , (791364189018102816833)/(3128510590723505270220)*a^(17) - (332858064646635488093)/(446930084389072181460)*a^(16) - (593761459535795572389)/(37244173699089348455)*a^(15) + (3234938711852998754239)/(89386016877814436292)*a^(14) + (984654308175599253887111)/(3128510590723505270220)*a^(13) - (1486471385771686790846347)/(3128510590723505270220)*a^(12) - (1827875046086705691452362)/(782127647680876317555)*a^(11) + (958616689704419794251467)/(446930084389072181460)*a^(10) + (7227512044538739682178357)/(1042836863574501756740)*a^(9) - (661217055579228493740975)/(208567372714900351348)*a^(8) - (1137028664611219428787700)/(156425529536175263511)*a^(7) + (2518007105850284559628643)/(3128510590723505270220)*a^(6) + (403935284417069619668723)/(156425529536175263511)*a^(5) + (358319752782216466729613)/(3128510590723505270220)*a^(4) - (188420156008088798741167)/(782127647680876317555)*a^(3) - (5799938015426987397925)/(625702118144701054044)*a^(2) + (56556916289953888703)/(312851059072350527022)*a - (310910660186381592101)/(1042836863574501756740) , (7100283905461973436319)/(3128510590723505270220)*a^(17) - (1091169455939170384299)/(148976694796357393820)*a^(16) - (15760861501200463540319)/(111732521097268045365)*a^(15) + (54355161949477430441689)/(148976694796357393820)*a^(14) + (1706058980341754315410513)/(625702118144701054044)*a^(13) - (15783867711888870759645013)/(3128510590723505270220)*a^(12) - (30758850761522063004804667)/(1564255295361752635110)*a^(11) + (2228432050864274218765423)/(89386016877814436292)*a^(10) + (175454531174890967318901259)/(3128510590723505270220)*a^(9) - (139919029086313569892440313)/(3128510590723505270220)*a^(8) - (28970358378196012971285453)/(521418431787250878370)*a^(7) + (72138948904014964999564837)/(3128510590723505270220)*a^(6) + (15677228432862049137259846)/(782127647680876317555)*a^(5) - (12541153333382374105837921)/(3128510590723505270220)*a^(4) - (1153252783342580184661913)/(521418431787250878370)*a^(3) + (906185331742098802904459)/(3128510590723505270220)*a^(2) + (24254975482198526642527)/(782127647680876317555)*a + (859422259660571728883)/(3128510590723505270220) , (22011686532311845567)/(74488347398178696910)*a^(17) + (22376598078695927187)/(74488347398178696910)*a^(16) - (1690057451123199823309)/(74488347398178696910)*a^(15) - (2197536894809352939451)/(74488347398178696910)*a^(14) + (64080954010174997611118)/(111732521097268045365)*a^(13) + (179360974280203463239151)/(223465042194536090730)*a^(12) - (211093689772293112716237)/(37244173699089348455)*a^(11) - (777369067837168330854238)/(111732521097268045365)*a^(10) + (2603279813209487630231164)/(111732521097268045365)*a^(9) + (2440430308232456145687938)/(111732521097268045365)*a^(8) - (2819480736836388834315709)/(74488347398178696910)*a^(7) - (2424659400368085090434689)/(111732521097268045365)*a^(6) + (2262097272156360761232926)/(111732521097268045365)*a^(5) + (346604275116645743372147)/(44693008438907218146)*a^(4) - (143914200422236037462522)/(37244173699089348455)*a^(3) - (96813845857432956064553)/(111732521097268045365)*a^(2) + (56591671861827940325927)/(223465042194536090730)*a + (692269454119820086176)/(37244173699089348455) , (777482508296494100801)/(260709215893625439185)*a^(17) - (3965933874818800950167)/(446930084389072181460)*a^(16) - 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