/* 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 - 4*x^17 - 6*x^16 + 20*x^15 + 83*x^14 - 114*x^13 - 471*x^12 + 376*x^11 + 2377*x^10 - 4364*x^9 + 1446*x^8 + 2378*x^7 - 3148*x^6 + 2514*x^5 - 1489*x^4 + 646*x^3 - 311*x^2 + 40*x - 1, 18, 268, [6, 6], 1592822467387587324542976, [2, 3, 7, 97], [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, 1/3*a^14 + 1/3*a^10 + 1/3*a^9 + 1/3*a^8 + 1/3*a^6 - 1/3*a^5 + 1/3*a^4 + 1/3*a^3 + 1/3*a^2 - 1/3, 1/3*a^15 + 1/3*a^11 + 1/3*a^10 + 1/3*a^9 + 1/3*a^7 - 1/3*a^6 + 1/3*a^5 + 1/3*a^4 + 1/3*a^3 - 1/3*a, 1/9*a^16 + 1/9*a^15 + 1/9*a^14 + 4/9*a^12 - 4/9*a^11 + 1/3*a^10 - 4/9*a^9 - 4/9*a^8 - 2/9*a^6 + 1/9*a^5 + 1/3*a^4 + 2/9*a^3 + 1/3*a^2 - 1/9*a - 4/9, 1/951573594728084772320343*a^17 - 16154792543857113041312/951573594728084772320343*a^16 - 59886133582120090983431/951573594728084772320343*a^15 + 7843361071976687594898/105730399414231641368927*a^14 - 154190169718316010753206/951573594728084772320343*a^13 - 344640712322126578636933/951573594728084772320343*a^12 - 12661457648324736495843/105730399414231641368927*a^11 - 434917152730011431028112/951573594728084772320343*a^10 - 26646468527280361363375/951573594728084772320343*a^9 + 22153559583903404857181/317191198242694924106781*a^8 + 455467287406237900386238/951573594728084772320343*a^7 + 48127824514338291242512/951573594728084772320343*a^6 + 9004909892272046083752/105730399414231641368927*a^5 + 398753656481661298063595/951573594728084772320343*a^4 + 81325845356998602690127/317191198242694924106781*a^3 + 447568431793447829534975/951573594728084772320343*a^2 + 68987135918436814941674/951573594728084772320343*a + 98190093627771106302/105730399414231641368927], 0, 1, [], 0, [ (24115335773618011983974)/(951573594728084772320343)*a^(17) - (29930481813480161120731)/(317191198242694924106781)*a^(16) - (52228244026576435155055)/(317191198242694924106781)*a^(15) + (400860700469418008171710)/(951573594728084772320343)*a^(14) + (2002666306307201214244214)/(951573594728084772320343)*a^(13) - (2064304893867314391137794)/(951573594728084772320343)*a^(12) - (10801862841309831292573066)/(951573594728084772320343)*a^(11) + (5776163326497267669193345)/(951573594728084772320343)*a^(10) + (17724585895822245380365298)/(317191198242694924106781)*a^(9) - (91142283169143000600956395)/(951573594728084772320343)*a^(8) + (36791813162999259852506003)/(951573594728084772320343)*a^(7) + (12011416177356717535076273)/(317191198242694924106781)*a^(6) - (68031189702030325688399888)/(951573594728084772320343)*a^(5) + (68082151854292754188597033)/(951573594728084772320343)*a^(4) - (40683344256355368004743451)/(951573594728084772320343)*a^(3) + (17750549992203489719075875)/(951573594728084772320343)*a^(2) - (2800461732076260887974846)/(317191198242694924106781)*a + (1584854437805486620531088)/(951573594728084772320343) , (85516515996344834147863)/(951573594728084772320343)*a^(17) - (113169258122221711324016)/(317191198242694924106781)*a^(16) - (58349414749577465496276)/(105730399414231641368927)*a^(15) + (1705394075728043835877007)/(951573594728084772320343)*a^(14) + (7157604720600404333498134)/(951573594728084772320343)*a^(13) - (9607433811296993709643547)/(951573594728084772320343)*a^(12) - (40767348843744239715659948)/(951573594728084772320343)*a^(11) + (31360690227848373840949181)/(951573594728084772320343)*a^(10) + (22838458819259270369124071)/(105730399414231641368927)*a^(9) - (368329505804487631052655845)/(951573594728084772320343)*a^(8) + (106186662200559107319578974)/(951573594728084772320343)*a^(7) + (72431560636072292125645331)/(317191198242694924106781)*a^(6) - (265494531079303752160589869)/(951573594728084772320343)*a^(5) + (202730665240964676588784196)/(951573594728084772320343)*a^(4) - (114213091076599205601389936)/(951573594728084772320343)*a^(3) + (44028565181858021375802749)/(951573594728084772320343)*a^(2) - (7233423174031115245007152)/(317191198242694924106781)*a + (1384697316992500203185620)/(951573594728084772320343) , (53408147905791954065791)/(951573594728084772320343)*a^(17) - (210554678414686336516177)/(951573594728084772320343)*a^(16) - (323732841182442175886584)/(951573594728084772320343)*a^(15) + (1033998888399771979948924)/(951573594728084772320343)*a^(14) + (4396420060772050128000793)/(951573594728084772320343)*a^(13) - (651149709045335069665139)/(105730399414231641368927)*a^(12) - (24729635048105062869550606)/(951573594728084772320343)*a^(11) + (19397367602472817540323917)/(951573594728084772320343)*a^(10) + (124904730413437986008459251)/(951573594728084772320343)*a^(9) - (230374950120382156415190616)/(951573594728084772320343)*a^(8) + (77442217605549109592451538)/(951573594728084772320343)*a^(7) + (127224201302448339177907811)/(951573594728084772320343)*a^(6) - (168400813870044456602194202)/(951573594728084772320343)*a^(5) + (133165785949834701784808921)/(951573594728084772320343)*a^(4) - (78526690027203662212933102)/(951573594728084772320343)*a^(3) + (32151851481745076360228570)/(951573594728084772320343)*a^(2) - (14437135982570559625545071)/(951573594728084772320343)*a + (888649127527679099721455)/(951573594728084772320343) , (27859850846518155422170)/(317191198242694924106781)*a^(17) - (327706528107197840944264)/(951573594728084772320343)*a^(16) - (519630557181319722008329)/(951573594728084772320343)*a^(15) + (1612980418871020034542334)/(951573594728084772320343)*a^(14) + (2327986279468036631230048)/(317191198242694924106781)*a^(13) - (8950514810520203123803657)/(951573594728084772320343)*a^(12) - (39352893977676978825006722)/(951573594728084772320343)*a^(11) + (3182884711902288009860525)/(105730399414231641368927)*a^(10) + (197519549918750917004532454)/(951573594728084772320343)*a^(9) - (352092097713241269794022686)/(951573594728084772320343)*a^(8) + (36008664978590931265944613)/(317191198242694924106781)*a^(7) + (200033533906456128506935823)/(951573594728084772320343)*a^(6) - (256695052243800318158360806)/(951573594728084772320343)*a^(5) + (22188725886161522610676014)/(105730399414231641368927)*a^(4) - (113524820146910066424839699)/(951573594728084772320343)*a^(3) + (5227042422810084964324869)/(105730399414231641368927)*a^(2) - (22912386239485630804902176)/(951573594728084772320343)*a + (1994820800359773904581445)/(951573594728084772320343) , (50641630191249359676271)/(951573594728084772320343)*a^(17) - (209433724464042133934104)/(951573594728084772320343)*a^(16) - (288204364350245084624500)/(951573594728084772320343)*a^(15) + (1088341504767179164392397)/(951573594728084772320343)*a^(14) + (4174915764658851758481346)/(951573594728084772320343)*a^(13) - (2152859167642996153625834)/(317191198242694924106781)*a^(12) - (24187564945657507514892628)/(951573594728084772320343)*a^(11) + (22373086381490352216088427)/(951573594728084772320343)*a^(10) + (123523667173798760242633579)/(951573594728084772320343)*a^(9) - (235217170314555860777440840)/(951573594728084772320343)*a^(8) + (77307956451710916298878034)/(951573594728084772320343)*a^(7) + (132310687902241360170404651)/(951573594728084772320343)*a^(6) - (169163782722293005400573165)/(951573594728084772320343)*a^(5) + (132623818971285133310416526)/(951573594728084772320343)*a^(4) - (75311435466857263610754460)/(951573594728084772320343)*a^(3) + (29825887476704565633458933)/(951573594728084772320343)*a^(2) - (16267852151010608385381668)/(951573594728084772320343)*a + (100798015557236787443411)/(951573594728084772320343) , (1783275664740663479951)/(317191198242694924106781)*a^(17) - (20215024218761400665977)/(951573594728084772320343)*a^(16) - (29894636670609097555996)/(951573594728084772320343)*a^(15) + (90935108843273213153699)/(951573594728084772320343)*a^(14) + (129156688294008543857009)/(317191198242694924106781)*a^(13) - (574610270747820750819937)/(951573594728084772320343)*a^(12) - (2070321486104250399185078)/(951573594728084772320343)*a^(11) + (796438882725800982571630)/(317191198242694924106781)*a^(10) + (11138791895702435262937834)/(951573594728084772320343)*a^(9) - (25572993959280945417677912)/(951573594728084772320343)*a^(8) + (3383699968244725692374216)/(317191198242694924106781)*a^(7) + (16691643584360599945694204)/(951573594728084772320343)*a^(6) - (15672371804736926290381309)/(951573594728084772320343)*a^(5) + (2786766908808585150475957)/(317191198242694924106781)*a^(4) - (10885116050497730352221882)/(951573594728084772320343)*a^(3) + (1568774641662080454700483)/(317191198242694924106781)*a^(2) - (1082054696514813848624783)/(951573594728084772320343)*a + (863919362732896732712896)/(951573594728084772320343) , (27104710646743592051218)/(317191198242694924106781)*a^(17) - (303476488175602652880826)/(951573594728084772320343)*a^(16) - (547740304799747939713183)/(951573594728084772320343)*a^(15) + (1417458906036088526092616)/(951573594728084772320343)*a^(14) + (2310537530874223715318608)/(317191198242694924106781)*a^(13) - (7196376540554593430992462)/(951573594728084772320343)*a^(12) - (38223691261611521030546207)/(951573594728084772320343)*a^(11) + (6685474381452713280111790)/(317191198242694924106781)*a^(10) + (188306132325136440677495032)/(951573594728084772320343)*a^(9) - (307312838932901194680160292)/(951573594728084772320343)*a^(8) + (9206698350672175234763935)/(105730399414231641368927)*a^(7) + (172106000464861776105320759)/(951573594728084772320343)*a^(6) - (226905868294649977262155831)/(951573594728084772320343)*a^(5) + (62507679914245908910515235)/(317191198242694924106781)*a^(4) - (103596009126554188201717439)/(951573594728084772320343)*a^(3) + (13617569704880733620131790)/(317191198242694924106781)*a^(2) - (16822927706260293433422266)/(951573594728084772320343)*a + (697387644564437333126326)/(951573594728084772320343) , (98446358917471638057934)/(951573594728084772320343)*a^(17) - (335223615770543893652140)/(951573594728084772320343)*a^(16) - (745397021544115895982418)/(951573594728084772320343)*a^(15) + (1418724411194649926581714)/(951573594728084772320343)*a^(14) + (8569026225752034492498175)/(951573594728084772320343)*a^(13) - (1978241077079987931868687)/(317191198242694924106781)*a^(12) - (45826095168965297813309146)/(951573594728084772320343)*a^(11) + (11179545314712251904099167)/(951573594728084772320343)*a^(10) + (221364805240335473165193730)/(951573594728084772320343)*a^(9) - (312264492075691447149986125)/(951573594728084772320343)*a^(8) + (42434849098675734819776641)/(951573594728084772320343)*a^(7) + (203958375003160144821587054)/(951573594728084772320343)*a^(6) - (225287967409305674574476075)/(951573594728084772320343)*a^(5) + (169467013012910711908446524)/(951573594728084772320343)*a^(4) - (91325969061696155291294686)/(951573594728084772320343)*a^(3) + (40534625847437517262443398)/(951573594728084772320343)*a^(2) - (17385408127496284253957807)/(951573594728084772320343)*a + (1215711904253457631540136)/(951573594728084772320343) , (54210336738192209002898)/(951573594728084772320343)*a^(17) - (184468641067253492687398)/(951573594728084772320343)*a^(16) - (407860025266405854996982)/(951573594728084772320343)*a^(15) + (255287900969914333119991)/(317191198242694924106781)*a^(14) + (4694720743948973497882163)/(951573594728084772320343)*a^(13) - (3161828753876413718132117)/(951573594728084772320343)*a^(12) - (2761827261600437955117188)/(105730399414231641368927)*a^(11) + (5712331178824259536874284)/(951573594728084772320343)*a^(10) + (119521062465739880293952077)/(951573594728084772320343)*a^(9) - (57102534480529132109162980)/(317191198242694924106781)*a^(8) + (33433014089454657217349843)/(951573594728084772320343)*a^(7) + (102367579786570814739051527)/(951573594728084772320343)*a^(6) - (42714712153412560863585115)/(317191198242694924106781)*a^(5) + (103806035166094608250040743)/(951573594728084772320343)*a^(4) - (6260569649260542593305204)/(105730399414231641368927)*a^(3) + (24416995266088763826228100)/(951573594728084772320343)*a^(2) - (9737482543529122283422058)/(951573594728084772320343)*a + (361028883962854278580034)/(317191198242694924106781) , (136824578820774804436642)/(951573594728084772320343)*a^(17) - (521685062133430296065144)/(951573594728084772320343)*a^(16) - (906831714375876818783717)/(951573594728084772320343)*a^(15) + (283887914342734969012793)/(105730399414231641368927)*a^(14) + (11675054593537022609732749)/(951573594728084772320343)*a^(13) - (13531618188107092464983551)/(951573594728084772320343)*a^(12) - (21928064216077399090640977)/(317191198242694924106781)*a^(11) + (41143105651520062669875119)/(951573594728084772320343)*a^(10) + (328172342314838241576440678)/(951573594728084772320343)*a^(9) - (182610660337781718282983468)/(317191198242694924106781)*a^(8) + (112362098803871314895672170)/(951573594728084772320343)*a^(7) + (368964308500597542584483689)/(951573594728084772320343)*a^(6) - (129381311555940457962527110)/(317191198242694924106781)*a^(5) + (258043357065545607746507018)/(951573594728084772320343)*a^(4) - (49369202666366059056094475)/(317191198242694924106781)*a^(3) + (62120618681880281569190780)/(951573594728084772320343)*a^(2) - (22420855613198062041493297)/(951573594728084772320343)*a + (194573608221501690264395)/(105730399414231641368927) , (132257776594420453212485)/(951573594728084772320343)*a^(17) - (455859889098837130393559)/(951573594728084772320343)*a^(16) - (1000343043504881343455927)/(951573594728084772320343)*a^(15) + (1963962026788242809165990)/(951573594728084772320343)*a^(14) + (11636225062875469923984788)/(951573594728084772320343)*a^(13) - (2743583765264306127776726)/(317191198242694924106781)*a^(12) - (62558808401097086901066026)/(951573594728084772320343)*a^(11) + (15025630183412112045637198)/(951573594728084772320343)*a^(10) + (300895995125801099945041526)/(951573594728084772320343)*a^(9) - (419622394987742522398265354)/(951573594728084772320343)*a^(8) + (57703587959232465455628833)/(951573594728084772320343)*a^(7) + (266294461379721844510091101)/(951573594728084772320343)*a^(6) - (304323069322541406618642646)/(951573594728084772320343)*a^(5) + (235968100165166325504258340)/(951573594728084772320343)*a^(4) - (125194612623005079364372859)/(951573594728084772320343)*a^(3) + (57886584735115597019026438)/(951573594728084772320343)*a^(2) - (22570447370349252770973388)/(951573594728084772320343)*a + (2034482442240108331855213)/(951573594728084772320343) ], 139328.851226, [[x^3 - x^2 - 2*x + 1, 1], [x^3 - x^2 + 5*x + 1, 1], [x^9 - 3*x^7 - x^6 + 3*x^5 + 2*x^4 + 4*x^3 - x^2 - 5*x + 1, 1]]]