/* 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 + x^14 + 16*x^13 - 118*x^12 + 152*x^11 - 254*x^10 - 1055*x^9 + 4234*x^8 - 9028*x^7 + 11255*x^6 + 8856*x^5 - 53600*x^4 + 108034*x^3 - 108306*x^2 + 39813*x - 4079, 16, 22, [8, 4], 57681033264163530732453953, [17, 67], [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, 1/883*a^14 - 234/883*a^13 - 286/883*a^12 + 160/883*a^11 + 46/883*a^10 - 337/883*a^9 + 314/883*a^8 - 6/883*a^7 - 22/883*a^6 + 8/883*a^5 + 181/883*a^4 - 267/883*a^3 - 143/883*a^2 + 117/883*a - 289/883, 1/22296956500607539085182810116491*a^15 + 445033861990178930425498211/22296956500607539085182810116491*a^14 - 1544547739460840643070937107969/22296956500607539085182810116491*a^13 + 5280434034832534544138696660649/22296956500607539085182810116491*a^12 - 2912085517481590681930199339592/22296956500607539085182810116491*a^11 - 2111050407284085872619372754620/22296956500607539085182810116491*a^10 - 7281915473110410969019449953161/22296956500607539085182810116491*a^9 + 2468833028594095731433376401813/22296956500607539085182810116491*a^8 + 10395689246422273152992012477380/22296956500607539085182810116491*a^7 + 746995761465498502089647526032/22296956500607539085182810116491*a^6 + 9344699878355052064280214815695/22296956500607539085182810116491*a^5 - 8076986963633161119765448648000/22296956500607539085182810116491*a^4 + 8153417425084359606683605382055/22296956500607539085182810116491*a^3 - 7426680465401776395929430314527/22296956500607539085182810116491*a^2 + 324774074427902793573582409361/22296956500607539085182810116491*a + 10292068366952025491536998214264/22296956500607539085182810116491], 0, 1, [], 1, [ (6312243247478535837140150897)/(22296956500607539085182810116491)*a^(15) - (2549604678840189719460127083)/(22296956500607539085182810116491)*a^(14) + (5276282303603361514408864993)/(22296956500607539085182810116491)*a^(13) + (103317563521090385249609456816)/(22296956500607539085182810116491)*a^(12) - (682324696656777651537068710961)/(22296956500607539085182810116491)*a^(11) + (567408568555736872068015017366)/(22296956500607539085182810116491)*a^(10) - (1314809014480416277158420078415)/(22296956500607539085182810116491)*a^(9) - (7305896300291816108272746290320)/(22296956500607539085182810116491)*a^(8) + (22260267935477878909733381363950)/(22296956500607539085182810116491)*a^(7) - (44732717075598994715242232850272)/(22296956500607539085182810116491)*a^(6) + (46154783600015201455122646061149)/(22296956500607539085182810116491)*a^(5) + (75281131793381710757180396301522)/(22296956500607539085182810116491)*a^(4) - (292012999844868909614980005013736)/(22296956500607539085182810116491)*a^(3) + (519284223297726336739794659818803)/(22296956500607539085182810116491)*a^(2) - (417179446935410777617725658364742)/(22296956500607539085182810116491)*a + (83083547710778601703668863107908)/(22296956500607539085182810116491) , (1326331016402859409364840427)/(22296956500607539085182810116491)*a^(15) - (1296252405577149700161051225)/(22296956500607539085182810116491)*a^(14) - (559385897681660027257897538)/(22296956500607539085182810116491)*a^(13) + (19090587410761091197147567579)/(22296956500607539085182810116491)*a^(12) - (157896761571357311647428959843)/(22296956500607539085182810116491)*a^(11) + (171488960220324321532175676765)/(22296956500607539085182810116491)*a^(10) - (181463719192335392878838774663)/(22296956500607539085182810116491)*a^(9) - (1289853608688035341460241345201)/(22296956500607539085182810116491)*a^(8) + (5971140314705109044755606660723)/(22296956500607539085182810116491)*a^(7) - (9567245841262539217807024874430)/(22296956500607539085182810116491)*a^(6) + (11657080080183573184927510681884)/(22296956500607539085182810116491)*a^(5) + (16299954160555651910066148208553)/(22296956500607539085182810116491)*a^(4) - (73877813161805138903328136929911)/(22296956500607539085182810116491)*a^(3) + (111995002511062525133937431093689)/(22296956500607539085182810116491)*a^(2) - (104818860675799216217367975176605)/(22296956500607539085182810116491)*a + (2432631656487115235226966068380)/(22296956500607539085182810116491) , (4243428028070199940611893774)/(22296956500607539085182810116491)*a^(15) - (2735164439364770722999600239)/(22296956500607539085182810116491)*a^(14) + (991542507087264338725490187)/(22296956500607539085182810116491)*a^(13) + (65162476023921382570760544145)/(22296956500607539085182810116491)*a^(12) - (479317646502231683032707580244)/(22296956500607539085182810116491)*a^(11) + (442107195787731005804549187132)/(22296956500607539085182810116491)*a^(10) - (728947644754546937669905288543)/(22296956500607539085182810116491)*a^(9) - (4515309134805230418729318066217)/(22296956500607539085182810116491)*a^(8) + (16744288492537452950460259848343)/(22296956500607539085182810116491)*a^(7) - (29666573970893914699185953087204)/(22296956500607539085182810116491)*a^(6) + (33424182110413652711999108179475)/(22296956500607539085182810116491)*a^(5) + (50869428878380656005849256318608)/(22296956500607539085182810116491)*a^(4) - (212539555618912345138840058169652)/(22296956500607539085182810116491)*a^(3) + (347308348469488810950960145460086)/(22296956500607539085182810116491)*a^(2) - (300997544201647307002556701286907)/(22296956500607539085182810116491)*a + (66331591333589068573877536188231)/(22296956500607539085182810116491) , (2161679124067435123752300673)/(22296956500607539085182810116491)*a^(15) + (1132468170440881903099665897)/(22296956500607539085182810116491)*a^(14) + (406758660572436681468306002)/(22296956500607539085182810116491)*a^(13) + (35387641864538706778036918931)/(22296956500607539085182810116491)*a^(12) - (197305541402133154793088657148)/(22296956500607539085182810116491)*a^(11) - (28111848081079207436828972355)/(22296956500607539085182810116491)*a^(10) - (235648976009741596031101215038)/(22296956500607539085182810116491)*a^(9) - (2717494751448730885539128120893)/(22296956500607539085182810116491)*a^(8) + (5076843351374286003192945205611)/(22296956500607539085182810116491)*a^(7) - (7602628306937738747293266120171)/(22296956500607539085182810116491)*a^(6) + (1288196134491112268273325679286)/(22296956500607539085182810116491)*a^(5) + (33737951927537545986642016609657)/(22296956500607539085182810116491)*a^(4) - (69827294203626329496514875504804)/(22296956500607539085182810116491)*a^(3) + (66517098683943694746143866433245)/(22296956500607539085182810116491)*a^(2) + (14127128654173576196295899102636)/(22296956500607539085182810116491)*a - (22706898051944038341783673217782)/(22296956500607539085182810116491) , (2081748904002764816859593101)/(22296956500607539085182810116491)*a^(15) - (3867632609805652626099266136)/(22296956500607539085182810116491)*a^(14) + (584783846514827657257184185)/(22296956500607539085182810116491)*a^(13) + (29774834159382675792723625214)/(22296956500607539085182810116491)*a^(12) - (282012105100098528239618923096)/(22296956500607539085182810116491)*a^(11) + (470219043868810213241378159487)/(22296956500607539085182810116491)*a^(10) - (493298668744805341638804073505)/(22296956500607539085182810116491)*a^(9) - (1797814383356499533190189945324)/(22296956500607539085182810116491)*a^(8) + (11667445141163166947267314642732)/(22296956500607539085182810116491)*a^(7) - (22063945663956175951892686967033)/(22296956500607539085182810116491)*a^(6) + (32135985975922540443725782500189)/(22296956500607539085182810116491)*a^(5) + (17131476950843110019207239708951)/(22296956500607539085182810116491)*a^(4) - (142712261415286015642325182664848)/(22296956500607539085182810116491)*a^(3) + (280791249785545116204816279026841)/(22296956500607539085182810116491)*a^(2) - (315124672855820883198852600389543)/(22296956500607539085182810116491)*a + (66741532884925567830478399289522)/(22296956500607539085182810116491) , (1326331016402859409364840427)/(22296956500607539085182810116491)*a^(15) - (1296252405577149700161051225)/(22296956500607539085182810116491)*a^(14) - (559385897681660027257897538)/(22296956500607539085182810116491)*a^(13) + (19090587410761091197147567579)/(22296956500607539085182810116491)*a^(12) - (157896761571357311647428959843)/(22296956500607539085182810116491)*a^(11) + (171488960220324321532175676765)/(22296956500607539085182810116491)*a^(10) - (181463719192335392878838774663)/(22296956500607539085182810116491)*a^(9) - (1289853608688035341460241345201)/(22296956500607539085182810116491)*a^(8) + (5971140314705109044755606660723)/(22296956500607539085182810116491)*a^(7) - (9567245841262539217807024874430)/(22296956500607539085182810116491)*a^(6) + (11657080080183573184927510681884)/(22296956500607539085182810116491)*a^(5) + (16299954160555651910066148208553)/(22296956500607539085182810116491)*a^(4) - (73877813161805138903328136929911)/(22296956500607539085182810116491)*a^(3) + (111995002511062525133937431093689)/(22296956500607539085182810116491)*a^(2) - (104818860675799216217367975176605)/(22296956500607539085182810116491)*a + (24729588157094654320409776184871)/(22296956500607539085182810116491) , (4136056037863919176617179454)/(22296956500607539085182810116491)*a^(15) - (1151232031945770815539575912)/(22296956500607539085182810116491)*a^(14) + (5550563999772606272937666030)/(22296956500607539085182810116491)*a^(13) + (68949808621432747349650588520)/(22296956500607539085182810116491)*a^(12) - (441905385475734063948534110653)/(22296956500607539085182810116491)*a^(11) + (352671750946625372552049292153)/(22296956500607539085182810116491)*a^(10) - (1009124782539721458647872097657)/(22296956500607539085182810116491)*a^(9) - (4930778184121205844958303459223)/(22296956500607539085182810116491)*a^(8) + (13963030031735544684883472479724)/(22296956500607539085182810116491)*a^(7) - (30300077138028572952693898284804)/(22296956500607539085182810116491)*a^(6) + (31232756846905211339741349987083)/(22296956500607539085182810116491)*a^(5) + (47508235362507699053904014757890)/(22296956500607539085182810116491)*a^(4) - (186024172116520471974468040514741)/(22296956500607539085182810116491)*a^(3) + (355089782113251415793743286486810)/(22296956500607539085182810116491)*a^(2) - (284285713785861193291812430708934)/(22296956500607539085182810116491)*a + (45996493572383303217728969384344)/(22296956500607539085182810116491) , (169175289681175330463155362678)/(22296956500607539085182810116491)*a^(15) + (84911311430929452110843112997)/(22296956500607539085182810116491)*a^(14) + (299547021433028102004410850070)/(22296956500607539085182810116491)*a^(13) + (3161736531634106407887753038537)/(22296956500607539085182810116491)*a^(12) - (15209846166461113356955428980171)/(22296956500607539085182810116491)*a^(11) + (2935103255427034102805438891666)/(22296956500607539085182810116491)*a^(10) - (38760508051161039129104403994323)/(22296956500607539085182810116491)*a^(9) - (236928954346597359937007128145149)/(22296956500607539085182810116491)*a^(8) + (360020311278775290296106056490266)/(22296956500607539085182810116491)*a^(7) - (991694594385298174847694976924178)/(22296956500607539085182810116491)*a^(6) + (416944205028119405603777140987935)/(22296956500607539085182810116491)*a^(5) + (2111988255735937539432796694133070)/(22296956500607539085182810116491)*a^(4) - (5908754696661309987735957883103093)/(22296956500607539085182810116491)*a^(3) + (9444835352256382135914726725662826)/(22296956500607539085182810116491)*a^(2) - (4228416115424668042433882611119667)/(22296956500607539085182810116491)*a + (476080654677734997506070422123140)/(22296956500607539085182810116491) , (40399303743928841451981157238)/(22296956500607539085182810116491)*a^(15) - (18938298652754965060711383329)/(22296956500607539085182810116491)*a^(14) + (19140150328095736189333611995)/(22296956500607539085182810116491)*a^(13) + (686157868652422009749226458836)/(22296956500607539085182810116491)*a^(12) - (4476078906664957067403779392275)/(22296956500607539085182810116491)*a^(11) + (3720437618794625781915292480520)/(22296956500607539085182810116491)*a^(10) - (6957182624572237697896985013583)/(22296956500607539085182810116491)*a^(9) - (50313599942752165724743799290650)/(22296956500607539085182810116491)*a^(8) + (155088352745777498898218979481810)/(22296956500607539085182810116491)*a^(7) - (291048023995924539739948082524082)/(22296956500607539085182810116491)*a^(6) + (275746213283200131318135151418671)/(22296956500607539085182810116491)*a^(5) + (643245819239438020996134620328654)/(22296956500607539085182810116491)*a^(4) - (2203753111957034749751711858481718)/(22296956500607539085182810116491)*a^(3) + (3830735540450439120679189639037710)/(22296956500607539085182810116491)*a^(2) - (3075838304273404411817047330723275)/(22296956500607539085182810116491)*a + (414631950484002456563666636994570)/(22296956500607539085182810116491) , (4449965316259626552018080928)/(22296956500607539085182810116491)*a^(15) - (5630171257030536116278344416)/(22296956500607539085182810116491)*a^(14) + (17232856234664143455949797454)/(22296956500607539085182810116491)*a^(13) + (32835064476480055130672061465)/(22296956500607539085182810116491)*a^(12) - (426277360460336974930245986648)/(22296956500607539085182810116491)*a^(11) + (684521564143117457556465455925)/(22296956500607539085182810116491)*a^(10) - (2183226916590888101240376800579)/(22296956500607539085182810116491)*a^(9) - (857209631594405394699101724997)/(22296956500607539085182810116491)*a^(8) + (7470789716822888423295145776397)/(22296956500607539085182810116491)*a^(7) - (23659014486806406685738229984674)/(22296956500607539085182810116491)*a^(6) + (39548675162866026064117662255487)/(22296956500607539085182810116491)*a^(5) - (2257816416852756202156491064183)/(22296956500607539085182810116491)*a^(4) - (85512453388874083632458450542283)/(22296956500607539085182810116491)*a^(3) + (201952332762885780643348401131002)/(22296956500607539085182810116491)*a^(2) - (172492499513271135299244740175675)/(22296956500607539085182810116491)*a + (24790721607942218278214426784684)/(22296956500607539085182810116491) , (12215423839602148388577847066)/(22296956500607539085182810116491)*a^(15) + (9701902963350583485218561878)/(22296956500607539085182810116491)*a^(14) + (22190557259938274077358075426)/(22296956500607539085182810116491)*a^(13) + (223005860515965429756190934955)/(22296956500607539085182810116491)*a^(12) - (1032012596805071697452154047735)/(22296956500607539085182810116491)*a^(11) - (210840093251503789454707696127)/(22296956500607539085182810116491)*a^(10) - (2686780871153868689939321559226)/(22296956500607539085182810116491)*a^(9) - (17463306795316623021911861255735)/(22296956500607539085182810116491)*a^(8) + (21006737215835675630057452320442)/(22296956500607539085182810116491)*a^(7) - (56792666131001849512060238813437)/(22296956500607539085182810116491)*a^(6) + (11720123591201797776067870396083)/(22296956500607539085182810116491)*a^(5) + (181773046397771854698164912054090)/(22296956500607539085182810116491)*a^(4) - (351052550206451493300137376032484)/(22296956500607539085182810116491)*a^(3) + (565372955601662122307694596241522)/(22296956500607539085182810116491)*a^(2) - (50159470847549071848294814483474)/(22296956500607539085182810116491)*a - (4608085212866510972973766776280)/(22296956500607539085182810116491) ], 5141408.95892, [[x^2 - x - 4, 1], [x^4 - x^3 - 6*x^2 + x + 1, 1], [x^8 - x^7 - 7*x^6 + 6*x^5 + 15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1, 1]]]