/* 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 - 2*x^15 - 6*x^14 + 7*x^13 - 18*x^12 + 96*x^11 - 3*x^10 - 82*x^9 - 54*x^8 - 441*x^7 + 294*x^6 + 930*x^5 - 229*x^4 - 718*x^3 - 60*x^2 + 120*x + 16, 16, 322, [8, 4], 77176147591689697265625, [3, 5, 29], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, 1/2*a^13 - 1/2*a^10 - 1/2*a^7 - 1/2*a^4 - 1/2*a, 1/4*a^14 - 1/2*a^12 - 1/4*a^11 + 1/4*a^8 - 1/2*a^6 - 1/4*a^5 - 1/2*a^3 - 1/4*a^2, 1/22298831013730193368*a^15 + 15739886571318016/146702835616646009*a^14 + 2517266664245615185/11149415506865096684*a^13 - 6225061250201792101/22298831013730193368*a^12 - 1977440298525505981/5574707753432548342*a^11 - 1049322486911117393/2787353876716274171*a^10 - 4681314611831146915/22298831013730193368*a^9 + 783472367134052110/2787353876716274171*a^8 - 4108924409425378651/11149415506865096684*a^7 - 2782930778541158317/22298831013730193368*a^6 - 128308900711037429/293405671233292018*a^5 - 4242527798015894227/11149415506865096684*a^4 - 8005181894597985/22298831013730193368*a^3 - 1379975072987138202/2787353876716274171*a^2 + 2193218588299175775/5574707753432548342*a + 211020228542385832/2787353876716274171], 0, 1, [], 1, [ (124431839349)/(4555263661192)*a^(15) - (133495786027)/(2277631830596)*a^(14) - (342040286249)/(2277631830596)*a^(13) + (916007566483)/(4555263661192)*a^(12) - (1238917500211)/(2277631830596)*a^(11) + (3115161227381)/(1138815915298)*a^(10) - (2741646161535)/(4555263661192)*a^(9) - (3627641768523)/(2277631830596)*a^(8) - (3514842470913)/(2277631830596)*a^(7) - (53197763746373)/(4555263661192)*a^(6) + (20633427638265)/(2277631830596)*a^(5) + (50554056749007)/(2277631830596)*a^(4) - (35873036815065)/(4555263661192)*a^(3) - (35403583172225)/(2277631830596)*a^(2) + (404392081361)/(569407957649)*a + (561632974511)/(569407957649) , (10706409010436081)/(22298831013730193368)*a^(15) - (4011614136016617)/(586811342466584036)*a^(14) + (57257860451156253)/(11149415506865096684)*a^(13) + (1031564123044051111)/(22298831013730193368)*a^(12) - (340177475079058479)/(11149415506865096684)*a^(11) + (366130608988885857)/(2787353876716274171)*a^(10) - (10793304615260467651)/(22298831013730193368)*a^(9) - (4494349263358337007)/(11149415506865096684)*a^(8) + (6019704282352413741)/(11149415506865096684)*a^(7) + (2365573970938345119)/(22298831013730193368)*a^(6) + (1833560359329764103)/(586811342466584036)*a^(5) + (4179856306614300477)/(11149415506865096684)*a^(4) - (141267076465530207469)/(22298831013730193368)*a^(3) - (20867488669172455353)/(11149415506865096684)*a^(2) + (21056115792476858319)/(5574707753432548342)*a + (3568239084592858593)/(2787353876716274171) , (34042873201446755)/(719317129475167528)*a^(15) - (1131070204764377)/(9464699072041678)*a^(14) - (77829579850332983)/(359658564737583764)*a^(13) + (315605125113703769)/(719317129475167528)*a^(12) - (100123051998206600)/(89914641184395941)*a^(11) + (924718797382184443)/(179829282368791882)*a^(10) - (2115414481575624145)/(719317129475167528)*a^(9) - (353164014881901973)/(179829282368791882)*a^(8) - (471278430702431567)/(359658564737583764)*a^(7) - (14700005250935936631)/(719317129475167528)*a^(6) + (117883426553724058)/(4732349536020839)*a^(5) + (10373075254584269529)/(359658564737583764)*a^(4) - (18378133208318200443)/(719317129475167528)*a^(3) - (3078402327731401987)/(179829282368791882)*a^(2) + (393447769209149592)/(89914641184395941)*a + (185849186624001676)/(89914641184395941) , (10706409010436081)/(22298831013730193368)*a^(15) - (4011614136016617)/(586811342466584036)*a^(14) + (57257860451156253)/(11149415506865096684)*a^(13) + (1031564123044051111)/(22298831013730193368)*a^(12) - (340177475079058479)/(11149415506865096684)*a^(11) + (366130608988885857)/(2787353876716274171)*a^(10) - (10793304615260467651)/(22298831013730193368)*a^(9) - (4494349263358337007)/(11149415506865096684)*a^(8) + (6019704282352413741)/(11149415506865096684)*a^(7) + (2365573970938345119)/(22298831013730193368)*a^(6) + (1833560359329764103)/(586811342466584036)*a^(5) + (4179856306614300477)/(11149415506865096684)*a^(4) - (141267076465530207469)/(22298831013730193368)*a^(3) - (20867488669172455353)/(11149415506865096684)*a^(2) + (21056115792476858319)/(5574707753432548342)*a + (780885207876584422)/(2787353876716274171) , (262546999983805)/(179829282368791882)*a^(15) + (60620932154697)/(9464699072041678)*a^(14) - (5538134634350035)/(179829282368791882)*a^(13) - (6146328980769527)/(179829282368791882)*a^(12) + (10786361064053387)/(179829282368791882)*a^(11) - (17257202572795281)/(179829282368791882)*a^(10) + (168656911196376645)/(179829282368791882)*a^(9) - (98741496345904867)/(179829282368791882)*a^(8) - (116298132923597223)/(179829282368791882)*a^(7) + (9957790189295481)/(179829282368791882)*a^(6) - (38515544717369313)/(9464699072041678)*a^(5) + (1174034767900486763)/(179829282368791882)*a^(4) + (793159004615489223)/(179829282368791882)*a^(3) - (1442237861882586339)/(179829282368791882)*a^(2) - (263996594663063903)/(179829282368791882)*a + (262190300555586980)/(89914641184395941) , (261155665058603331)/(5574707753432548342)*a^(15) - (66114738559374757)/(586811342466584036)*a^(14) - (1234987417905739363)/(5574707753432548342)*a^(13) + (1094024344435095716)/(2787353876716274171)*a^(12) - (12075080972698559921)/(11149415506865096684)*a^(11) + (27934021500869946019)/(5574707753432548342)*a^(10) - (13696136078395970211)/(5574707753432548342)*a^(9) - (17401819659319585319)/(11149415506865096684)*a^(8) - (10314667817063896159)/(5574707753432548342)*a^(7) - (57258217093744047585)/(2787353876716274171)*a^(6) + (12783984533332019089)/(586811342466584036)*a^(5) + (158692738292749027461)/(5574707753432548342)*a^(4) - (53556881624041750783)/(2787353876716274171)*a^(3) - (169993455650174467841)/(11149415506865096684)*a^(2) + (3337645898490416385)/(5574707753432548342)*a - (594268175965080808)/(2787353876716274171) , (43262237008427901)/(22298831013730193368)*a^(15) - (253116342425403)/(586811342466584036)*a^(14) - (286106486878545917)/(11149415506865096684)*a^(13) + (269419329428629763)/(22298831013730193368)*a^(12) + (328576910892251515)/(11149415506865096684)*a^(11) + (197287938221118003)/(5574707753432548342)*a^(10) + (10120152373090236329)/(22298831013730193368)*a^(9) - (10616322036804438761)/(11149415506865096684)*a^(8) - (1190779958910614085)/(11149415506865096684)*a^(7) + (3600339954410984763)/(22298831013730193368)*a^(6) - (554403413147133303)/(586811342466584036)*a^(5) + (76970011916444479783)/(11149415506865096684)*a^(4) - (42915359893209543817)/(22298831013730193368)*a^(3) - (110286236105892808371)/(11149415506865096684)*a^(2) + (6436110678960938663)/(2787353876716274171)*a + (8908784525099780802)/(2787353876716274171) , (13422945130301999)/(179829282368791882)*a^(15) - (3371623887199151)/(18929398144083356)*a^(14) - (32960204852906581)/(89914641184395941)*a^(13) + (57531370491183477)/(89914641184395941)*a^(12) - (596128431533645199)/(359658564737583764)*a^(11) + (708315395818345386)/(89914641184395941)*a^(10) - (637086271324363615)/(179829282368791882)*a^(9) - (1279165313789502353)/(359658564737583764)*a^(8) - (256575922610458121)/(89914641184395941)*a^(7) - (2887551365795243836)/(89914641184395941)*a^(6) + (643018123316516647)/(18929398144083356)*a^(5) + (4589003950440803973)/(89914641184395941)*a^(4) - (3005351072343537441)/(89914641184395941)*a^(3) - (11747349070605681499)/(359658564737583764)*a^(2) + (547219559569179682)/(89914641184395941)*a + (184621446811663234)/(89914641184395941) , (1679888089213760113)/(22298831013730193368)*a^(15) - (113766795837870667)/(586811342466584036)*a^(14) - (3816248881805432977)/(11149415506865096684)*a^(13) + (15929775828460403719)/(22298831013730193368)*a^(12) - (19365512054775660353)/(11149415506865096684)*a^(11) + (46207048608983705175)/(5574707753432548342)*a^(10) - (111453095789875463043)/(22298831013730193368)*a^(9) - (35616248551498546373)/(11149415506865096684)*a^(8) - (37362879315799175617)/(11149415506865096684)*a^(7) - (698766998274783888169)/(22298831013730193368)*a^(6) + (23645011701656507593)/(586811342466584036)*a^(5) + (537747489310540313631)/(11149415506865096684)*a^(4) - (880425430882191477189)/(22298831013730193368)*a^(3) - (377610431619744764371)/(11149415506865096684)*a^(2) + (21438024924573751964)/(2787353876716274171)*a + (10927142222646307436)/(2787353876716274171) , (55632894210497783)/(5574707753432548342)*a^(15) - (34919794675605)/(586811342466584036)*a^(14) - (484218342805932893)/(5574707753432548342)*a^(13) - (103878799318001628)/(2787353876716274171)*a^(12) - (1725395610331650997)/(11149415506865096684)*a^(11) + (2562660183148117521)/(5574707753432548342)*a^(10) + (9148463209060097727)/(5574707753432548342)*a^(9) - (6138270605866787543)/(11149415506865096684)*a^(8) + (3038931832666615541)/(5574707753432548342)*a^(7) - (12921640149272861167)/(2787353876716274171)*a^(6) - (2890309479691270603)/(586811342466584036)*a^(5) + (56191057791448355799)/(5574707753432548342)*a^(4) + (13134158130754793498)/(2787353876716274171)*a^(3) - (50741384577360067761)/(11149415506865096684)*a^(2) - (6048018568969378673)/(5574707753432548342)*a + (2486436540607994519)/(2787353876716274171) , (138903173651484650)/(2787353876716274171)*a^(15) - (18820884578864420)/(146702835616646009)*a^(14) - (1281900085280618737)/(5574707753432548342)*a^(13) + (1368378830065821321)/(2787353876716274171)*a^(12) - (3229311699256975245)/(2787353876716274171)*a^(11) + (30228045784669420749)/(5574707753432548342)*a^(10) - (8768232668899363108)/(2787353876716274171)*a^(9) - (7674143463288338745)/(2787353876716274171)*a^(8) - (4821058881556205199)/(5574707753432548342)*a^(7) - (60410091567050741441)/(2787353876716274171)*a^(6) + (4004250640205762684)/(146702835616646009)*a^(5) + (180515103973666108783)/(5574707753432548342)*a^(4) - (87193365449630262390)/(2787353876716274171)*a^(3) - (53288246751122139254)/(2787353876716274171)*a^(2) + (47507412110213520355)/(5574707753432548342)*a + (3947332450655644166)/(2787353876716274171) ], 311894.804498, [[x^2 - x - 1, 1], [x^4 - x^3 - 4*x^2 + 4*x + 1, 1], [x^4 - x^3 - 19*x^2 + 4*x + 76, 1], [x^4 - x^3 - 3*x^2 + x + 1, 1], [x^8 - 13*x^6 + 44*x^4 - 17*x^2 + 1, 1]]]