/* 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^16 + 8*x^14 - 24*x^13 + 88*x^12 - 120*x^11 + 648*x^10 - 880*x^9 + 1766*x^8 - 3760*x^7 + 2888*x^6 - 7824*x^5 + 6372*x^4 - 4512*x^3 + 13480*x^2 + 2720*x + 9406, 16, 292, [0, 8], 3178904636022651044757504, [2, 3, 41], [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, 1/1764787292732504280096312100121*a^15 + 249746659958541625559564469354/1764787292732504280096312100121*a^14 + 264919306127484799280050277412/1764787292732504280096312100121*a^13 - 668316353130004470967278034318/1764787292732504280096312100121*a^12 - 594218351726885540562242906287/1764787292732504280096312100121*a^11 + 104319428297459389236170101645/1764787292732504280096312100121*a^10 - 76751211469289616107910449697/1764787292732504280096312100121*a^9 + 364948590684500452009773455816/1764787292732504280096312100121*a^8 - 424756165759236238281713090905/1764787292732504280096312100121*a^7 - 7027360757822983023548587675/1764787292732504280096312100121*a^6 - 577396655326411971704081875522/1764787292732504280096312100121*a^5 - 513993447222320723766379663599/1764787292732504280096312100121*a^4 - 772511293632686256041814846742/1764787292732504280096312100121*a^3 - 524320383543329130369059864905/1764787292732504280096312100121*a^2 + 651940451597913411336398165381/1764787292732504280096312100121*a + 740043589630922037215663272680/1764787292732504280096312100121], 1, 34, [34], 1, [ (9745800489252237446038)/(89126170028407872334544321)*a^(15) + (12262447375207964916438)/(89126170028407872334544321)*a^(14) + (32809849768019268678474)/(89126170028407872334544321)*a^(13) - (161448113109206254136486)/(89126170028407872334544321)*a^(12) + (366002458499751692816650)/(89126170028407872334544321)*a^(11) + (767513934193864569199466)/(89126170028407872334544321)*a^(10) + (2490122724735333313566708)/(89126170028407872334544321)*a^(9) - (1385840434876367708343201)/(89126170028407872334544321)*a^(8) - (7117624386326681882096084)/(89126170028407872334544321)*a^(7) - (4889778782201025178863064)/(89126170028407872334544321)*a^(6) + (4302264417541174017518824)/(89126170028407872334544321)*a^(5) - (31263239781017789759018739)/(89126170028407872334544321)*a^(4) + (47887851832167765016260844)/(89126170028407872334544321)*a^(3) - (24441059432216138464906246)/(89126170028407872334544321)*a^(2) + (63337129804928881824048860)/(89126170028407872334544321)*a - (119016101721200566326245585)/(89126170028407872334544321) , (1195839430316149927608744881)/(1764787292732504280096312100121)*a^(15) - (713669177423219583274151350)/(1764787292732504280096312100121)*a^(14) + (9126238958058808052696488358)/(1764787292732504280096312100121)*a^(13) - (31829895377703052461453979207)/(1764787292732504280096312100121)*a^(12) + (116019471027337360670401783995)/(1764787292732504280096312100121)*a^(11) - (177523880438371920943345309796)/(1764787292732504280096312100121)*a^(10) + (745631998412932993625174186220)/(1764787292732504280096312100121)*a^(9) - (1188119090632913412507131470262)/(1764787292732504280096312100121)*a^(8) + (2004910078593007322879187320510)/(1764787292732504280096312100121)*a^(7) - (3771480094657877700488174713783)/(1764787292732504280096312100121)*a^(6) + (2217313680669923895141724221514)/(1764787292732504280096312100121)*a^(5) - (5031863092749972446331017539156)/(1764787292732504280096312100121)*a^(4) + (3444522921229693288379813915526)/(1764787292732504280096312100121)*a^(3) + (1054096913939660856971939396581)/(1764787292732504280096312100121)*a^(2) + (5077839188481598615619021094998)/(1764787292732504280096312100121)*a + (6858898392521407315088566670451)/(1764787292732504280096312100121) , (408850262119617386243809604)/(1764787292732504280096312100121)*a^(15) + (255656344273422938605793892)/(1764787292732504280096312100121)*a^(14) + (2685497865667729193240380980)/(1764787292732504280096312100121)*a^(13) - (7776957320553484113957267613)/(1764787292732504280096312100121)*a^(12) + (26090966246884504947686395425)/(1764787292732504280096312100121)*a^(11) - (14521369954885479046678323501)/(1764787292732504280096312100121)*a^(10) + (190303232586263044303464764058)/(1764787292732504280096312100121)*a^(9) - (155309412514567944022593893094)/(1764787292732504280096312100121)*a^(8) + (237922616256821118491156843372)/(1764787292732504280096312100121)*a^(7) - (805275093562965340478056770262)/(1764787292732504280096312100121)*a^(6) - (175645313928975645614934041248)/(1764787292732504280096312100121)*a^(5) - (1620173314440552472409936971459)/(1764787292732504280096312100121)*a^(4) + (1170763426666164930167580998464)/(1764787292732504280096312100121)*a^(3) + (1469477821943983878961745431127)/(1764787292732504280096312100121)*a^(2) + (3204469682154926979468820236714)/(1764787292732504280096312100121)*a + (3108508419776535286852976989345)/(1764787292732504280096312100121) , (477252376104628587850173)/(1070216672366588405152402729)*a^(15) - (587826271495841432310458)/(1070216672366588405152402729)*a^(14) + (3905846629709568744363922)/(1070216672366588405152402729)*a^(13) - (14586378445815384079743306)/(1070216672366588405152402729)*a^(12) + (54535175731020531062895930)/(1070216672366588405152402729)*a^(11) - (98849308965122160034364455)/(1070216672366588405152402729)*a^(10) + (336766989585609429546215538)/(1070216672366588405152402729)*a^(9) - (626324850284017870518215632)/(1070216672366588405152402729)*a^(8) + (1071550917123217831648290162)/(1070216672366588405152402729)*a^(7) - (1798790176528145761073449329)/(1070216672366588405152402729)*a^(6) + (1451157668040569763951884938)/(1070216672366588405152402729)*a^(5) - (2068944680600012112747774753)/(1070216672366588405152402729)*a^(4) + (1378871737151927445853385638)/(1070216672366588405152402729)*a^(3) - (251898670712142523947729554)/(1070216672366588405152402729)*a^(2) + (1136063982005258724166283116)/(1070216672366588405152402729)*a + (1204125336575116887895256265)/(1070216672366588405152402729) , (985429876809103224130197)/(1070216672366588405152402729)*a^(15) - (354493105154529071122789)/(1070216672366588405152402729)*a^(14) + (6667364448272156132953964)/(1070216672366588405152402729)*a^(13) - (25211009916242060994954203)/(1070216672366588405152402729)*a^(12) + (86350713337751033339357714)/(1070216672366588405152402729)*a^(11) - (112069748223113954943471921)/(1070216672366588405152402729)*a^(10) + (550625164794780357697855982)/(1070216672366588405152402729)*a^(9) - (873861978920524086279698914)/(1070216672366588405152402729)*a^(8) + (1233337493418390253060777952)/(1070216672366588405152402729)*a^(7) - (2703602847817522945633172025)/(1070216672366588405152402729)*a^(6) + (1679647765497320989634558846)/(1070216672366588405152402729)*a^(5) - (3760089198885266134364615339)/(1070216672366588405152402729)*a^(4) + (3652819086754338250823359690)/(1070216672366588405152402729)*a^(3) + (977672556824054138895644878)/(1070216672366588405152402729)*a^(2) + (5105592716977149186251361460)/(1070216672366588405152402729)*a + (2300823436705058340390953423)/(1070216672366588405152402729) , (1334643898277060598776071695)/(1764787292732504280096312100121)*a^(15) - (556855032568876065191438898)/(1764787292732504280096312100121)*a^(14) + (8647464027113254276704224274)/(1764787292732504280096312100121)*a^(13) - (35148927219402534672454360224)/(1764787292732504280096312100121)*a^(12) + (117240020486586494244440396145)/(1764787292732504280096312100121)*a^(11) - (150725457916305801964810983414)/(1764787292732504280096312100121)*a^(10) + (736808287112285291280847654384)/(1764787292732504280096312100121)*a^(9) - (1247754530240038827600699608871)/(1764787292732504280096312100121)*a^(8) + (1604590460697732171950105111206)/(1764787292732504280096312100121)*a^(7) - (3643239949724114750487713593345)/(1764787292732504280096312100121)*a^(6) + (2698366999915233031635176343706)/(1764787292732504280096312100121)*a^(5) - (4908285042731323961566556271398)/(1764787292732504280096312100121)*a^(4) + (5640626631798607644082289854326)/(1764787292732504280096312100121)*a^(3) + (794495355518790080292923616235)/(1764787292732504280096312100121)*a^(2) + (6906072279387901813181497479474)/(1764787292732504280096312100121)*a - (88848592801694978507557572425)/(1764787292732504280096312100121) , (3608947447996085639786597813)/(1764787292732504280096312100121)*a^(15) - (34733638159524112143070972)/(1764787292732504280096312100121)*a^(14) + (23012412457076367740141001996)/(1764787292732504280096312100121)*a^(13) - (84974204562674930356301321000)/(1764787292732504280096312100121)*a^(12) + (281137504244965665010081451463)/(1764787292732504280096312100121)*a^(11) - (287828897363445431550809608061)/(1764787292732504280096312100121)*a^(10) + (1845064301621173085988874850422)/(1764787292732504280096312100121)*a^(9) - (2597608231095382484566549042997)/(1764787292732504280096312100121)*a^(8) + (3311711901496992137747614415854)/(1764787292732504280096312100121)*a^(7) - (8625734576493058172592967483897)/(1764787292732504280096312100121)*a^(6) + (4113541611241346162797801181478)/(1764787292732504280096312100121)*a^(5) - (13490441831398298184438101270665)/(1764787292732504280096312100121)*a^(4) + (13795912615418149337232055692556)/(1764787292732504280096312100121)*a^(3) + (5537430998291734986749984539157)/(1764787292732504280096312100121)*a^(2) + (22216344687422798638451282567302)/(1764787292732504280096312100121)*a + (7052306943761557344446906313193)/(1764787292732504280096312100121) ], 11964.3106427, [[x^2 - 2, 1], [x^2 - 3, 1], [x^2 - 6, 1], [x^4 - 4*x^2 + 2, 1], [x^4 - 12*x^2 + 18, 1], [x^4 - 4*x^2 + 1, 1], [x^8 - 8*x^6 + 20*x^4 - 16*x^2 + 1, 1]]]