/* 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 - x^15 + 7*x^14 + 15*x^13 - 62*x^12 + 43*x^11 - 310*x^10 - 629*x^9 - 268*x^8 - 1921*x^7 + 1573*x^6 - 776*x^5 + 7*x^4 + 1618*x^3 - 556*x^2 - 184*x + 16, 16, 24, [8, 4], 575650281819106455466129, [17, 43], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/2*a^9 - 1/2*a^5 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/2*a^10 - 1/2*a^6 - 1/2*a^4 - 1/2*a^3 - 1/2*a^2, 1/2*a^11 - 1/2*a^7 - 1/2*a^5 - 1/2*a^4 - 1/2*a^3, 1/2*a^12 - 1/2*a^8 - 1/2*a^6 - 1/2*a^5 - 1/2*a^4, 1/2*a^13 - 1/2*a^7 - 1/2*a^6 - 1/2*a^3 - 1/2*a^2 - 1/2*a, 1/4*a^14 - 1/4*a^13 - 1/4*a^12 - 1/4*a^11 - 1/4*a^9 - 1/2*a^8 - 1/4*a^7 - 1/2*a^6 - 1/4*a^5 - 1/4*a^4 - 1/2*a^3 + 1/4*a^2 - 1/2*a, 1/116832105391614863286486104*a^15 + 10214856154429307771120129/116832105391614863286486104*a^14 - 14745240135506694340463927/116832105391614863286486104*a^13 - 6814851081380637355003731/116832105391614863286486104*a^12 - 756014027885642433871735/29208026347903715821621526*a^11 + 6928820065250006674520719/116832105391614863286486104*a^10 + 458893756253697233528471/29208026347903715821621526*a^9 + 13600992089637023131932287/116832105391614863286486104*a^8 + 14453329269694591509950381/58416052695807431643243052*a^7 - 8768738148384382859706909/116832105391614863286486104*a^6 - 51241135937545947831108061/116832105391614863286486104*a^5 - 24687458277953657406911741/58416052695807431643243052*a^4 + 35259301137893504845633235/116832105391614863286486104*a^3 - 3808668006532705735451090/14604013173951857910810763*a^2 + 1876677404082440489511307/14604013173951857910810763*a - 4528934651723582381075860/14604013173951857910810763], 0, 1, [], 1, [ (156040716775709787495305)/(58416052695807431643243052)*a^(15) - (17192877114405699885015)/(29208026347903715821621526)*a^(14) + (241627244671530968952213)/(14604013173951857910810763)*a^(13) + (808996863074123104736071)/(14604013173951857910810763)*a^(12) - (7907616785904678215959461)/(58416052695807431643243052)*a^(11) - (627735060250481600889297)/(58416052695807431643243052)*a^(10) - (42195760634173347288926733)/(58416052695807431643243052)*a^(9) - (138295185530841462155542327)/(58416052695807431643243052)*a^(8) - (115877694200229819961736843)/(58416052695807431643243052)*a^(7) - (340877534070238413519794055)/(58416052695807431643243052)*a^(6) - (7924484196514990428738491)/(29208026347903715821621526)*a^(5) + (57603701314787445203934001)/(58416052695807431643243052)*a^(4) - (183140359593754344138633079)/(58416052695807431643243052)*a^(3) + (259092706772314013670176001)/(58416052695807431643243052)*a^(2) + (29044033569708211264449503)/(29208026347903715821621526)*a - (26243734792821440799691850)/(14604013173951857910810763) , (47040781488360573042419)/(58416052695807431643243052)*a^(15) + (12191050614086974025735)/(58416052695807431643243052)*a^(14) + (394733318597023405190779)/(58416052695807431643243052)*a^(13) + (1073215233563553824376213)/(58416052695807431643243052)*a^(12) - (298533351625533046332816)/(14604013173951857910810763)*a^(11) + (741397207260940647955829)/(58416052695807431643243052)*a^(10) - (9155554725358316241113967)/(29208026347903715821621526)*a^(9) - (46719276337505146723938517)/(58416052695807431643243052)*a^(8) - (43513106132024452311589193)/(29208026347903715821621526)*a^(7) - (207534739210446281968996313)/(58416052695807431643243052)*a^(6) - (134920114711615203933860439)/(58416052695807431643243052)*a^(5) - (58411661440241442240455369)/(14604013173951857910810763)*a^(4) - (29336963305621702701599189)/(58416052695807431643243052)*a^(3) - (916050317789595833805631)/(29208026347903715821621526)*a^(2) - (797234834057172060464589)/(29208026347903715821621526)*a + (26719272594593049575963937)/(14604013173951857910810763) , (111100427378914745914693)/(116832105391614863286486104)*a^(15) - (62664729652524022328453)/(116832105391614863286486104)*a^(14) + (580358653368607775660855)/(116832105391614863286486104)*a^(13) + (2059413570184102108243355)/(116832105391614863286486104)*a^(12) - (3588858447195106657710789)/(58416052695807431643243052)*a^(11) - (1011091749348816027719869)/(116832105391614863286486104)*a^(10) - (12529182363208575086335177)/(58416052695807431643243052)*a^(9) - (86416955217005558778108489)/(116832105391614863286486104)*a^(8) - (3383378268743038484744653)/(29208026347903715821621526)*a^(7) - (109577929070219833959503949)/(116832105391614863286486104)*a^(6) + (197594692489343396586809961)/(116832105391614863286486104)*a^(5) + (42654270507180357301483627)/(14604013173951857910810763)*a^(4) - (62952624661395947199871733)/(116832105391614863286486104)*a^(3) + (180539887265039467737960591)/(58416052695807431643243052)*a^(2) + (18436361777881700510822277)/(29208026347903715821621526)*a - (17308854831814976819143616)/(14604013173951857910810763) , (68672248414504363026993)/(116832105391614863286486104)*a^(15) + (142182927347196851526571)/(116832105391614863286486104)*a^(14) + (588257538239001125127119)/(116832105391614863286486104)*a^(13) + (2461671535386033330679215)/(116832105391614863286486104)*a^(12) + (524475560668709154187173)/(58416052695807431643243052)*a^(11) - (3458113259082396499530733)/(116832105391614863286486104)*a^(10) - (13250839464863731627476877)/(58416052695807431643243052)*a^(9) - (108034218556405834878733561)/(116832105391614863286486104)*a^(8) - (30773948220343834250227830)/(14604013173951857910810763)*a^(7) - (471942481366653017400602649)/(116832105391614863286486104)*a^(6) - (615527617332666802926568839)/(116832105391614863286486104)*a^(5) - (144200338202563616652579723)/(29208026347903715821621526)*a^(4) - (368800898402381657922536577)/(116832105391614863286486104)*a^(3) - (126266150187520414730009667)/(58416052695807431643243052)*a^(2) - (4114553517284893097164123)/(14604013173951857910810763)*a + (19902975866185434730615343)/(14604013173951857910810763) , (21293844504806338370369)/(29208026347903715821621526)*a^(15) + (14649662639398023225049)/(58416052695807431643243052)*a^(14) + (175563607550008066331497)/(58416052695807431643243052)*a^(13) + (1093227658889072233918417)/(58416052695807431643243052)*a^(12) - (2288831613551835839684573)/(58416052695807431643243052)*a^(11) - (687325194754672684935523)/(14604013173951857910810763)*a^(10) - (7298466938826468445349919)/(58416052695807431643243052)*a^(9) - (23863660121831503055104069)/(29208026347903715821621526)*a^(8) - (24619329699637082296434719)/(58416052695807431643243052)*a^(7) - (26782204887405385209080007)/(29208026347903715821621526)*a^(6) + (1861873494339197625545431)/(58416052695807431643243052)*a^(5) + (233589301275492860877736519)/(58416052695807431643243052)*a^(4) - (38925880035635764777149483)/(29208026347903715821621526)*a^(3) + (255848361750678308022146807)/(58416052695807431643243052)*a^(2) + (13604572624817463552995506)/(14604013173951857910810763)*a - (15456950464108620706283871)/(14604013173951857910810763) , (19775631397047314069765)/(58416052695807431643243052)*a^(15) + (14423610298730085405360)/(14604013173951857910810763)*a^(14) + (50481458960027140232385)/(14604013173951857910810763)*a^(13) + (200395445096625564832075)/(14604013173951857910810763)*a^(12) + (803590421471389536103425)/(58416052695807431643243052)*a^(11) - (1146513363991649084995865)/(58416052695807431643243052)*a^(10) - (10039457551486566894109809)/(58416052695807431643243052)*a^(9) - (37308853730489510750067925)/(58416052695807431643243052)*a^(8) - (92956311426316437218592659)/(58416052695807431643243052)*a^(7) - (176764209488676096528191955)/(58416052695807431643243052)*a^(6) - (53899246283470528124444697)/(14604013173951857910810763)*a^(5) - (170912912382622170294225707)/(58416052695807431643243052)*a^(4) - (11509789904942502832483375)/(58416052695807431643243052)*a^(3) + (107052168512015470520871891)/(58416052695807431643243052)*a^(2) + (9348878663405945491142639)/(29208026347903715821621526)*a + (5403759770477672564729469)/(14604013173951857910810763) , (569736235638425035254469)/(116832105391614863286486104)*a^(15) - (214793757052255743825607)/(116832105391614863286486104)*a^(14) + (3861833538385506991567869)/(116832105391614863286486104)*a^(13) + (10930315913238023893486481)/(116832105391614863286486104)*a^(12) - (3553780129503291470820652)/(14604013173951857910810763)*a^(11) + (6776030853701675408406619)/(116832105391614863286486104)*a^(10) - (21623804891074800112176823)/(14604013173951857910810763)*a^(9) - (464684554358643110564144833)/(116832105391614863286486104)*a^(8) - (223131200168028453186684107)/(58416052695807431643243052)*a^(7) - (1373232943802925804302777049)/(116832105391614863286486104)*a^(6) + (48436928215265756435001391)/(116832105391614863286486104)*a^(5) - (215503708292641640797276349)/(58416052695807431643243052)*a^(4) - (244843820109537845352362293)/(116832105391614863286486104)*a^(3) + (95896508981263215474408739)/(14604013173951857910810763)*a^(2) + (36879722004398148174678537)/(29208026347903715821621526)*a - (6972292292510162126154211)/(14604013173951857910810763) , (1305103478467593869837047)/(116832105391614863286486104)*a^(15) - (1101723289226435285937755)/(116832105391614863286486104)*a^(14) + (9036629935059985997208293)/(116832105391614863286486104)*a^(13) + (20933884929876179855048225)/(116832105391614863286486104)*a^(12) - (38573194141126356862716965)/(58416052695807431643243052)*a^(11) + (45350204948228735942506001)/(116832105391614863286486104)*a^(10) - (200834076055187508583192761)/(58416052695807431643243052)*a^(9) - (880811592886850972623585119)/(116832105391614863286486104)*a^(8) - (127683669271376597465728631)/(29208026347903715821621526)*a^(7) - (2638289111950755903127235767)/(116832105391614863286486104)*a^(6) + (1604064606878941441438715787)/(116832105391614863286486104)*a^(5) - (116711130279904470541609483)/(14604013173951857910810763)*a^(4) - (93372133083311961079067755)/(116832105391614863286486104)*a^(3) + (1014760098998697718065171193)/(58416052695807431643243052)*a^(2) - (56679391098169609255868702)/(14604013173951857910810763)*a - (24106259508767031106443313)/(14604013173951857910810763) , (416726073906970573322565)/(58416052695807431643243052)*a^(15) - (60240572501999576292115)/(14604013173951857910810763)*a^(14) + (593965575868820998232866)/(14604013173951857910810763)*a^(13) + (1970772094514757645431144)/(14604013173951857910810763)*a^(12) - (26046036972885299121972645)/(58416052695807431643243052)*a^(11) + (2103504964706545779365379)/(58416052695807431643243052)*a^(10) - (100334399533879477319516297)/(58416052695807431643243052)*a^(9) - (337787322924581026198858973)/(58416052695807431643243052)*a^(8) - (91918183399878285413001621)/(58416052695807431643243052)*a^(7) - (644126176981512547088848267)/(58416052695807431643243052)*a^(6) + (238869317083030310237690505)/(29208026347903715821621526)*a^(5) + (776474168161108892548850187)/(58416052695807431643243052)*a^(4) - (701175726917346312733622745)/(58416052695807431643243052)*a^(3) + (1511087942170662326502664243)/(58416052695807431643243052)*a^(2) - (201286391651408931927064427)/(29208026347903715821621526)*a - (53235006987225422496967032)/(14604013173951857910810763) , (273183256174136262952999)/(116832105391614863286486104)*a^(15) - (308896186467131745997869)/(116832105391614863286486104)*a^(14) + (1957698745857035412735319)/(116832105391614863286486104)*a^(13) + (3843032608844869047407519)/(116832105391614863286486104)*a^(12) - (4329197406471139868173681)/(29208026347903715821621526)*a^(11) + (13924253012212557464764445)/(116832105391614863286486104)*a^(10) - (21410169471839382948921323)/(29208026347903715821621526)*a^(9) - (161067344673921041057807455)/(116832105391614863286486104)*a^(8) - (28591646782912682218582907)/(58416052695807431643243052)*a^(7) - (514599562469906744328202707)/(116832105391614863286486104)*a^(6) + (444813006856604477212939865)/(116832105391614863286486104)*a^(5) - (135614111753190606139174925)/(58416052695807431643243052)*a^(4) - (89527831146028812875842955)/(116832105391614863286486104)*a^(3) + (60279863931453432051782938)/(14604013173951857910810763)*a^(2) - (35043414229981899099343193)/(14604013173951857910810763)*a + (6036194153300799929805827)/(14604013173951857910810763) , (61701231372489861032645)/(29208026347903715821621526)*a^(15) - (21615329150868730240665)/(29208026347903715821621526)*a^(14) + (476138093026088608321043)/(29208026347903715821621526)*a^(13) + (1104830223195724245624529)/(29208026347903715821621526)*a^(12) - (1296715610213152477105944)/(14604013173951857910810763)*a^(11) + (667207255530997804956565)/(14604013173951857910810763)*a^(10) - (11441348424545808996955125)/(14604013173951857910810763)*a^(9) - (45367745055059630031658459)/(29208026347903715821621526)*a^(8) - (35858240827063188044714005)/(14604013173951857910810763)*a^(7) - (86969556649324273405096922)/(14604013173951857910810763)*a^(6) - (1170265787438024632169225)/(29208026347903715821621526)*a^(5) - (172442594252232673590634233)/(29208026347903715821621526)*a^(4) + (71314540873059709024769650)/(14604013173951857910810763)*a^(3) - (110896793118218772046448079)/(29208026347903715821621526)*a^(2) + (70160059496209490821701687)/(14604013173951857910810763)*a - (2594274072712319441113165)/(14604013173951857910810763) ], 549740.860993, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^4 - 2*x^3 + 4*x^2 - 3*x - 2, 1], [x^4 - 2*x^3 - 24*x^2 + 25*x - 52, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 - 53*x^4 + 58*x^3 + 228*x^2 - 608*x + 239, 1], [x^8 - 2*x^7 - 14*x^6 + 10*x^5 - 24*x^4 - 26*x^3 + 57*x^2 - 10*x + 4, 1]]]