/* 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 - 6*x^15 - 19*x^14 + 105*x^13 - 37*x^12 + 1620*x^11 - 3133*x^10 - 16161*x^9 + 16123*x^8 + 55743*x^7 + 14233*x^6 - 83412*x^5 - 113170*x^4 + 4836*x^3 + 39049*x^2 - 12594*x - 5129, 16, 22, [8, 4], 826443003617417898900549004041, [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, 1/1229624425791640105004594150517815905517*a^15 + 23465798972543656003256449793999519683/1229624425791640105004594150517815905517*a^14 - 291331717717700033613282857861327614877/1229624425791640105004594150517815905517*a^13 - 258804998749309737524477384078255380506/1229624425791640105004594150517815905517*a^12 - 464216801883741823550199638799302291468/1229624425791640105004594150517815905517*a^11 + 8391787859998347609757877002759664771/53461931556158265434982354370339821979*a^10 + 241297399171699038908240186161340257738/1229624425791640105004594150517815905517*a^9 - 350847097587027272629792972252066427187/1229624425791640105004594150517815905517*a^8 + 20848020112836954946774656373558474954/1229624425791640105004594150517815905517*a^7 - 321613825707977565953390623310388759339/1229624425791640105004594150517815905517*a^6 + 365873439753561650066385323136409132567/1229624425791640105004594150517815905517*a^5 + 16482693483633764371166989157356288514/1229624425791640105004594150517815905517*a^4 + 588763646437183611068470615706841644292/1229624425791640105004594150517815905517*a^3 + 192575227492347971449840262956404201884/1229624425791640105004594150517815905517*a^2 - 76655874489217882981844134090441370754/1229624425791640105004594150517815905517*a + 6843193778382876999354992851942587411/53461931556158265434982354370339821979], 0, 1, [], 1, [ (1551117520769621284090616749710)/(19590301046595187041034208270553251)*a^(15) - (10004166740523528320614948432937)/(19590301046595187041034208270553251)*a^(14) - (23790527001909782088989678155418)/(19590301046595187041034208270553251)*a^(13) + (167576646670891566777833464809772)/(19590301046595187041034208270553251)*a^(12) - (157478173503797125049836306064412)/(19590301046595187041034208270553251)*a^(11) + (2667863269397863353293986504590246)/(19590301046595187041034208270553251)*a^(10) - (6094650988747567441244481356400944)/(19590301046595187041034208270553251)*a^(9) - (20209778463592227009681123021501355)/(19590301046595187041034208270553251)*a^(8) + (32293011620958724550777673345014231)/(19590301046595187041034208270553251)*a^(7) + (57142169766713426119299941951527452)/(19590301046595187041034208270553251)*a^(6) - (3304519709310941426339074806615261)/(19590301046595187041034208270553251)*a^(5) - (104433831063242634890959222684848102)/(19590301046595187041034208270553251)*a^(4) - (94617380078515855364046971875597261)/(19590301046595187041034208270553251)*a^(3) + (52408479844255198112565434166025799)/(19590301046595187041034208270553251)*a^(2) + (16533694648331246970350140592319635)/(19590301046595187041034208270553251)*a - (14096278432654013224865718838073146)/(19590301046595187041034208270553251) , (2445621065586943193197476072672)/(19590301046595187041034208270553251)*a^(15) - (17653641298974498475276328901365)/(19590301046595187041034208270553251)*a^(14) - (25685392674961445665587639824110)/(19590301046595187041034208270553251)*a^(13) + (292887471557843777116623712303786)/(19590301046595187041034208270553251)*a^(12) - (437268777002587563006481988198907)/(19590301046595187041034208270553251)*a^(11) + (4416142352858768641260884891781045)/(19590301046595187041034208270553251)*a^(10) - (12944004083641825039663321325565956)/(19590301046595187041034208270553251)*a^(9) - (25042561960482399773769832470904717)/(19590301046595187041034208270553251)*a^(8) + (72924566848704170148606949702652245)/(19590301046595187041034208270553251)*a^(7) + (55842341891353566211788084115554264)/(19590301046595187041034208270553251)*a^(6) - (50528000396400739921592453667800718)/(19590301046595187041034208270553251)*a^(5) - (157799610731794754709835100276134494)/(19590301046595187041034208270553251)*a^(4) - (75425848637402194300212645491647577)/(19590301046595187041034208270553251)*a^(3) + (142672821713881686343776883066007198)/(19590301046595187041034208270553251)*a^(2) - (56105123445398890894826617968013862)/(19590301046595187041034208270553251)*a - (26774907218583951905295095157502754)/(19590301046595187041034208270553251) , (4191163639784991472026320096097806)/(1229624425791640105004594150517815905517)*a^(15) - (99198636794744293597272459696238693)/(1229624425791640105004594150517815905517)*a^(14) + (501439280008632848369355452436132744)/(1229624425791640105004594150517815905517)*a^(13) + (844876456360476710890468111426857725)/(1229624425791640105004594150517815905517)*a^(12) - (9433082393172220916918609517850222299)/(1229624425791640105004594150517815905517)*a^(11) + (1186897774125903718958850863307895399)/(53461931556158265434982354370339821979)*a^(10) - (157581178495058348934380264474134000491)/(1229624425791640105004594150517815905517)*a^(9) + (394442260985408397481671300215330381602)/(1229624425791640105004594150517815905517)*a^(8) + (549230555051964741718624531709294507497)/(1229624425791640105004594150517815905517)*a^(7) - (2613020218917502604751335714070390025509)/(1229624425791640105004594150517815905517)*a^(6) + (1005688659860612126700504829828348208159)/(1229624425791640105004594150517815905517)*a^(5) + (2813648868343052701014488850308882053059)/(1229624425791640105004594150517815905517)*a^(4) - (2441184401917327919501811180168205574261)/(1229624425791640105004594150517815905517)*a^(3) + (753400234825559558890218873930116481488)/(1229624425791640105004594150517815905517)*a^(2) - (60244121258507938596268707205674020948)/(1229624425791640105004594150517815905517)*a + (4530827533538501426513065074160359318)/(53461931556158265434982354370339821979) , (116772720502990694049309674679928941)/(1229624425791640105004594150517815905517)*a^(15) - (848567027402985805163854296433572270)/(1229624425791640105004594150517815905517)*a^(14) - (1418211516994889189894755541637768395)/(1229624425791640105004594150517815905517)*a^(13) + (15139984085578073340434804723178150504)/(1229624425791640105004594150517815905517)*a^(12) - (16169731439271242276579175291083721690)/(1229624425791640105004594150517815905517)*a^(11) + (8544083027471540266684316530410582684)/(53461931556158265434982354370339821979)*a^(10) - (629289798558281903663549485850903933085)/(1229624425791640105004594150517815905517)*a^(9) - (1573833785157943286275613377590637795342)/(1229624425791640105004594150517815905517)*a^(8) + (3742771867508156815257653257349847628642)/(1229624425791640105004594150517815905517)*a^(7) + (5730332685521014790198043524281842120158)/(1229624425791640105004594150517815905517)*a^(6) - (1679861626723347660695235089736164276468)/(1229624425791640105004594150517815905517)*a^(5) - (13127857988194475599120998466253133163610)/(1229624425791640105004594150517815905517)*a^(4) - (12176040763206388183417399221710451552898)/(1229624425791640105004594150517815905517)*a^(3) + (4723218403006167998924958537438820023676)/(1229624425791640105004594150517815905517)*a^(2) + (3756844471168394123852244657471308563723)/(1229624425791640105004594150517815905517)*a - (131472391505076626991759262178274985648)/(53461931556158265434982354370339821979) , (114385033139722302060225114988458160)/(1229624425791640105004594150517815905517)*a^(15) - (816922455299423807502118456724796643)/(1229624425791640105004594150517815905517)*a^(14) - (1102238053203375035865821401572688272)/(1229624425791640105004594150517815905517)*a^(13) + (12434106265559384295297555396663356861)/(1229624425791640105004594150517815905517)*a^(12) - (21236609661114070499309635612981123451)/(1229624425791640105004594150517815905517)*a^(11) + (9813236104260760536711521265701856850)/(53461931556158265434982354370339821979)*a^(10) - (619184540754893725240348726476906035131)/(1229624425791640105004594150517815905517)*a^(9) - (946048131718393212006300596667695784326)/(1229624425791640105004594150517815905517)*a^(8) + (2520111606278112863807436915588779197170)/(1229624425791640105004594150517815905517)*a^(7) + (947732553241492118167157136983068098611)/(1229624425791640105004594150517815905517)*a^(6) + (3861007877072078073744661177658868179854)/(1229624425791640105004594150517815905517)*a^(5) - (3347476546434318365943604622951672017833)/(1229624425791640105004594150517815905517)*a^(4) - (16661032813887419072374351622720844812746)/(1229624425791640105004594150517815905517)*a^(3) + (2008573860733937154668339369293610298086)/(1229624425791640105004594150517815905517)*a^(2) + (6158153376050861188122225893757361658530)/(1229624425791640105004594150517815905517)*a - (123299735184088136919520823061888043845)/(53461931556158265434982354370339821979) , (132009035634002505290975935678821369)/(1229624425791640105004594150517815905517)*a^(15) - (821197380006827879127620980949942394)/(1229624425791640105004594150517815905517)*a^(14) - (2332562782166085004119526239089689694)/(1229624425791640105004594150517815905517)*a^(13) + (14272190400449213034042698477337758440)/(1229624425791640105004594150517815905517)*a^(12) - (7132424750341723188079170273121955511)/(1229624425791640105004594150517815905517)*a^(11) + (9446178686177681581510611500054347902)/(53461931556158265434982354370339821979)*a^(10) - (473030721574772278404289566697878325927)/(1229624425791640105004594150517815905517)*a^(9) - (2029808275553148495460340757941022555308)/(1229624425791640105004594150517815905517)*a^(8) + (2342646565159190031337680372343398451277)/(1229624425791640105004594150517815905517)*a^(7) + (7338238115578636224069312433330980771682)/(1229624425791640105004594150517815905517)*a^(6) + (1765925425885472852695587439672255348290)/(1229624425791640105004594150517815905517)*a^(5) - (12363655651981796814457100984658685223632)/(1229624425791640105004594150517815905517)*a^(4) - (16683822101662560580579649411971578670305)/(1229624425791640105004594150517815905517)*a^(3) + (1142175053938128584497552638642230964341)/(1229624425791640105004594150517815905517)*a^(2) + (8487829290576979466485920320516078027927)/(1229624425791640105004594150517815905517)*a + (74251758701916933103146577700686933618)/(53461931556158265434982354370339821979) , (9961611427134662544405112772838)/(19590301046595187041034208270553251)*a^(15) - (59203179337718883847075353731209)/(19590301046595187041034208270553251)*a^(14) - (196282703964453920111774798248277)/(19590301046595187041034208270553251)*a^(13) + (1056368338418328679854218596387529)/(19590301046595187041034208270553251)*a^(12) - (239531153041810496227372292328603)/(19590301046595187041034208270553251)*a^(11) + (15752891738850728774649949019480712)/(19590301046595187041034208270553251)*a^(10) - (30129990171924542518344158089543657)/(19590301046595187041034208270553251)*a^(9) - (168679098049011565567937478938378282)/(19590301046595187041034208270553251)*a^(8) + (161368071856316075432508083756053082)/(19590301046595187041034208270553251)*a^(7) + (621255125940705424692927701753166057)/(19590301046595187041034208270553251)*a^(6) + (117474669771843768957063868647631158)/(19590301046595187041034208270553251)*a^(5) - (981813006119190544319103221636314287)/(19590301046595187041034208270553251)*a^(4) - (1184886698321465816769261931281069298)/(19590301046595187041034208270553251)*a^(3) + (82942828725111252507362761093969828)/(19590301046595187041034208270553251)*a^(2) + (619614714136228626816572624055241319)/(19590301046595187041034208270553251)*a + (133423688741724415233881042506687018)/(19590301046595187041034208270553251) , (439230998949218239632771861476954381)/(1229624425791640105004594150517815905517)*a^(15) - (2739061405921634933509099503605405297)/(1229624425791640105004594150517815905517)*a^(14) - (7718470324886707303383454467562142149)/(1229624425791640105004594150517815905517)*a^(13) + (47995080347575841959679786720882932548)/(1229624425791640105004594150517815905517)*a^(12) - (27124628410427214429999707521966103531)/(1229624425791640105004594150517815905517)*a^(11) + (31185181538757709644397831541953286440)/(53461931556158265434982354370339821979)*a^(10) - (1543554944794931045539483338741884807035)/(1229624425791640105004594150517815905517)*a^(9) - (6758105034762927009910692021091010985911)/(1229624425791640105004594150517815905517)*a^(8) + (8654563076728528710723896020080472716173)/(1229624425791640105004594150517815905517)*a^(7) + (22661661574355841334852225179029294882462)/(1229624425791640105004594150517815905517)*a^(6) + (757860586979448517532268870028651879730)/(1229624425791640105004594150517815905517)*a^(5) - (36719673701867625083249660379813054035585)/(1229624425791640105004594150517815905517)*a^(4) - (40404183049521623555284635752444461372822)/(1229624425791640105004594150517815905517)*a^(3) + (9904236309919991671619636346907787773808)/(1229624425791640105004594150517815905517)*a^(2) + (12996218686368411822599707031850362280630)/(1229624425791640105004594150517815905517)*a - (359676393373581041228697125975588638614)/(53461931556158265434982354370339821979) , (1755086261620157847361679191009085201)/(1229624425791640105004594150517815905517)*a^(15) - (7846042971719844612301102062241439510)/(1229624425791640105004594150517815905517)*a^(14) - (42982503211338973911911818070032865955)/(1229624425791640105004594150517815905517)*a^(13) + (106847623906404619121520031153871746897)/(1229624425791640105004594150517815905517)*a^(12) + (46223407448010914142037678797987879388)/(1229624425791640105004594150517815905517)*a^(11) + (133998589081011173356897136528037776875)/(53461931556158265434982354370339821979)*a^(10) - (803854394016776777889981409663811109724)/(1229624425791640105004594150517815905517)*a^(9) - (25419903457813453419394411996129361184960)/(1229624425791640105004594150517815905517)*a^(8) - (13652409870383216351880633120712076721644)/(1229624425791640105004594150517815905517)*a^(7) + (44356097370541515017283875607983597641549)/(1229624425791640105004594150517815905517)*a^(6) + (89452568958163045843509044373820906884973)/(1229624425791640105004594150517815905517)*a^(5) + (50256414902860142206429922919035586187311)/(1229624425791640105004594150517815905517)*a^(4) - (28176746257358917569635334628846289621283)/(1229624425791640105004594150517815905517)*a^(3) - (7706167070644799558864769742483811237682)/(1229624425791640105004594150517815905517)*a^(2) + (8664926944556301698555895076519375341150)/(1229624425791640105004594150517815905517)*a + (92418151164459502080256779687268852485)/(53461931556158265434982354370339821979) , (1169739573452898227722366740971833377)/(1229624425791640105004594150517815905517)*a^(15) - (7545537341865295606028145899899857656)/(1229624425791640105004594150517815905517)*a^(14) - (19203573000861150084145229283110093284)/(1229624425791640105004594150517815905517)*a^(13) + (132889309608466237792040637996952528987)/(1229624425791640105004594150517815905517)*a^(12) - (92637829206722518903618832573396522289)/(1229624425791640105004594150517815905517)*a^(11) + (83495661262844297574761590907831576358)/(53461931556158265434982354370339821979)*a^(10) - (4557490087172698801483981208267672489643)/(1229624425791640105004594150517815905517)*a^(9) - (17517455861257197406232345612917036197825)/(1229624425791640105004594150517815905517)*a^(8) + (26448256521776352716521885782227603768951)/(1229624425791640105004594150517815905517)*a^(7) + (58883998813462323920210723275389364196518)/(1229624425791640105004594150517815905517)*a^(6) - (3044436015189093290122676543660480222853)/(1229624425791640105004594150517815905517)*a^(5) - (104966269946565792349493608073484001723341)/(1229624425791640105004594150517815905517)*a^(4) - (110851226286225263723294959950680305055603)/(1229624425791640105004594150517815905517)*a^(3) + (35871077405526007164903732642226472013606)/(1229624425791640105004594150517815905517)*a^(2) + (34217115077870971257149760068034907421914)/(1229624425791640105004594150517815905517)*a - (1039435608809795635525779845367766570674)/(53461931556158265434982354370339821979) , (206052201569029615682099256754096593)/(1229624425791640105004594150517815905517)*a^(15) - (1185477286439423710195310501228064930)/(1229624425791640105004594150517815905517)*a^(14) - (4184154259507602918435832611203961273)/(1229624425791640105004594150517815905517)*a^(13) + (20553741650387311698664633757140396722)/(1229624425791640105004594150517815905517)*a^(12) - (3301724797454448455016471243764050012)/(1229624425791640105004594150517815905517)*a^(11) + (14474400458376781412937210309616292465)/(53461931556158265434982354370339821979)*a^(10) - (561285479062324397219046907793939156711)/(1229624425791640105004594150517815905517)*a^(9) - (3426862641511768168059065977646070181169)/(1229624425791640105004594150517815905517)*a^(8) + (2564556798142257369819599508787650240870)/(1229624425791640105004594150517815905517)*a^(7) + (11861788227272595041356459475537548919606)/(1229624425791640105004594150517815905517)*a^(6) + (5113588291166343411716235003607604646050)/(1229624425791640105004594150517815905517)*a^(5) - (16230033525582885478726848789689986128333)/(1229624425791640105004594150517815905517)*a^(4) - (26099932793792705062022833937720952565103)/(1229624425791640105004594150517815905517)*a^(3) - (2891889654080858956867751368513281448407)/(1229624425791640105004594150517815905517)*a^(2) + (8912770230913898927892477503795859845934)/(1229624425791640105004594150517815905517)*a + (27954962064571557703590993349557828519)/(53461931556158265434982354370339821979) ], 847278146.588, [[x^2 - x - 10, 1], [x^4 - x^3 - 15*x^2 - 18*x - 4, 1], [x^8 - x^7 - 38*x^6 + 30*x^5 + 331*x^4 - 152*x^3 - 708*x^2 - 291*x - 23, 1]]]