/* 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 + 24*x^14 - 70*x^13 + 146*x^12 - 140*x^11 - 2134*x^10 - 978*x^9 + 43507*x^8 - 174208*x^7 + 219686*x^6 + 251926*x^5 - 29840*x^4 + 333106*x^3 + 252166*x^2 - 77336*x - 43021, 16, 1275, [4, 6], 277280164669720467865600000000, [2, 5, 71, 101], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, 1/5*a^12 - 2/5*a^11 + 1/5*a^10 + 1/5*a^9 + 2/5*a^8 - 2/5*a^7 + 1/5*a^6 + 1/5*a^5 - 1/5*a^4 - 2/5*a^3 + 1/5*a^2 - 1/5*a + 1/5, 1/5*a^13 + 2/5*a^11 - 2/5*a^10 - 1/5*a^9 + 2/5*a^8 + 2/5*a^7 - 2/5*a^6 + 1/5*a^5 + 1/5*a^4 + 2/5*a^3 + 1/5*a^2 - 1/5*a + 2/5, 1/995*a^14 - 66/995*a^13 - 39/995*a^12 + 133/995*a^11 + 82/199*a^10 + 187/995*a^9 + 458/995*a^8 - 82/995*a^7 + 77/995*a^6 - 381/995*a^5 + 37/995*a^4 + 26/995*a^3 + 242/995*a^2 - 136/995*a - 223/995, 1/47226707427006488902191693732046875454204505*a^15 - 2665587877678995568745247492088092256774/6746672489572355557455956247435267922029215*a^14 + 4074770725370247238224606488318504134140203/47226707427006488902191693732046875454204505*a^13 + 3738828933028963715305200984475494893676702/47226707427006488902191693732046875454204505*a^12 - 19371648206796954541074087228587610055308863/47226707427006488902191693732046875454204505*a^11 - 6420617256874793415319368918516146199936767/47226707427006488902191693732046875454204505*a^10 - 1821833355837689208104456470717699741272931/9445341485401297780438338746409375090840901*a^9 - 3777961951246288201207931511502349437866116/47226707427006488902191693732046875454204505*a^8 - 18287938056663350603382829449220387498761006/47226707427006488902191693732046875454204505*a^7 - 14254433339310790871834112333810055162961044/47226707427006488902191693732046875454204505*a^6 - 438122028813225815199811423242826579713386/1349334497914471111491191249487053584405843*a^5 - 395656330817777132895378121747292607573799/47226707427006488902191693732046875454204505*a^4 - 126068726384545217104744180704813436337812/47226707427006488902191693732046875454204505*a^3 + 19660882422334569330552561450092420992553226/47226707427006488902191693732046875454204505*a^2 + 21513754342570310288989838525388582450970998/47226707427006488902191693732046875454204505*a + 15202522095842428279931573494007620355670302/47226707427006488902191693732046875454204505], 0, 1, [], 1, [ (967724439257736807609658)/(72429663349977294421329642905)*a^(15) - (185424749363225527497308)/(2069418952856494126323704083)*a^(14) + (27434994248452670706484366)/(72429663349977294421329642905)*a^(13) - (16974449697371938644911870)/(14485932669995458884265928581)*a^(12) + (38447051929327251023845504)/(14485932669995458884265928581)*a^(11) - (244722775537515259543507738)/(72429663349977294421329642905)*a^(10) - (1947515407243862998842046178)/(72429663349977294421329642905)*a^(9) + (486936527520052462374733621)/(72429663349977294421329642905)*a^(8) + (42542525093958174561239972836)/(72429663349977294421329642905)*a^(7) - (198255887441219223327494993846)/(72429663349977294421329642905)*a^(6) + (48034433931259145079492229866)/(10347094764282470631618520415)*a^(5) + (71192549640320263436993891412)/(72429663349977294421329642905)*a^(4) - (32754777251162213468610774074)/(14485932669995458884265928581)*a^(3) + (343177769180728885256719569022)/(72429663349977294421329642905)*a^(2) - (8818062826732393286750097676)/(72429663349977294421329642905)*a - (169734028622310831793307903049)/(72429663349977294421329642905) , (48055625322470866995074669522603658)/(1478097944571578007016734804295542407255)*a^(15) - (45245212659130602754377317546801084)/(211156849224511143859533543470791772465)*a^(14) + (267707138134244074699206910273781841)/(295619588914315601403346960859108481451)*a^(13) - (4141224997923150264060712648005653613)/(1478097944571578007016734804295542407255)*a^(12) + (9393225061716219409187099244861156433)/(1478097944571578007016734804295542407255)*a^(11) - (2404657641205427171360186829282622936)/(295619588914315601403346960859108481451)*a^(10) - (19222336302262739535859324165470189004)/(295619588914315601403346960859108481451)*a^(9) + (11065155732894623205573021000002114374)/(1478097944571578007016734804295542407255)*a^(8) + (2086536385899904956128369273338809577999)/(1478097944571578007016734804295542407255)*a^(7) - (9606189865944174196371626695596773063974)/(1478097944571578007016734804295542407255)*a^(6) + (2310755718788191763570725958519751275588)/(211156849224511143859533543470791772465)*a^(5) + (2969162874503947580591323075492639194427)/(1478097944571578007016734804295542407255)*a^(4) - (4604645279394750288078360353678993526721)/(1478097944571578007016734804295542407255)*a^(3) + (20500346044237435674328498159786783706342)/(1478097944571578007016734804295542407255)*a^(2) - (1223483941131056783573430072185288544149)/(1478097944571578007016734804295542407255)*a - (2742266213319258481907348862118403350868)/(1478097944571578007016734804295542407255) , (511454640107296436104546707657904820912)/(47226707427006488902191693732046875454204505)*a^(15) - (426820469815512113772039991525727987226)/(6746672489572355557455956247435267922029215)*a^(14) + (2252487931582611659683423245202549812982)/(9445341485401297780438338746409375090840901)*a^(13) - (31280486577355420324834406311133631067693)/(47226707427006488902191693732046875454204505)*a^(12) + (59734222838305996628832892198765825554494)/(47226707427006488902191693732046875454204505)*a^(11) - (35660311221514379950307624473764245505586)/(47226707427006488902191693732046875454204505)*a^(10) - (1141092266859668040915868411990663377537726)/(47226707427006488902191693732046875454204505)*a^(9) - (669786754438716541385141471256611903200311)/(47226707427006488902191693732046875454204505)*a^(8) + (23346555851428019134447305748959681521212748)/(47226707427006488902191693732046875454204505)*a^(7) - (83813001532499065212311002863981174100350237)/(47226707427006488902191693732046875454204505)*a^(6) + (10871143099121541909533618842547162117657204)/(6746672489572355557455956247435267922029215)*a^(5) + (212754687665272046292797249384070832464523164)/(47226707427006488902191693732046875454204505)*a^(4) - (19348463546783429794884249926396672568660802)/(47226707427006488902191693732046875454204505)*a^(3) - (79725133406557232814954137451324895632482003)/(47226707427006488902191693732046875454204505)*a^(2) + (2443697962176913768095416730458955307934348)/(9445341485401297780438338746409375090840901)*a + (15421143820198352795058834253753874225748007)/(47226707427006488902191693732046875454204505) , (144083869834413379416213956013749519912)/(6746672489572355557455956247435267922029215)*a^(15) - (198584170792965231540374003702013888626)/(1349334497914471111491191249487053584405843)*a^(14) + (4333492393142788748555255038657793962114)/(6746672489572355557455956247435267922029215)*a^(13) - (13865855573855303170590803782190553338187)/(6746672489572355557455956247435267922029215)*a^(12) + (33051673212868927468707537574165867164189)/(6746672489572355557455956247435267922029215)*a^(11) - (48391322836986319370400742846690529276754)/(6746672489572355557455956247435267922029215)*a^(10) - (267321138507447716100506213365254060397269)/(6746672489572355557455956247435267922029215)*a^(9) + (103094688168457018329909078715395463622)/(6780575366404377444679353012497756705557)*a^(8) + (6192299936676218364058157041989048966090363)/(6746672489572355557455956247435267922029215)*a^(7) - (30658367371327436655599633990550255084027896)/(6746672489572355557455956247435267922029215)*a^(6) + (58505097295209428441639766619276550278971751)/(6746672489572355557455956247435267922029215)*a^(5) - (2699901002382222519607792837783142897828671)/(1349334497914471111491191249487053584405843)*a^(4) + (1770435178429778318695113271829623462888304)/(6746672489572355557455956247435267922029215)*a^(3) + (49215321094852932042814264372376712859707816)/(6746672489572355557455956247435267922029215)*a^(2) - (9779947902448841715489464303408626028925092)/(6746672489572355557455956247435267922029215)*a - (5757004121588412348482560864912457259427403)/(6746672489572355557455956247435267922029215) , (3376648759315585871423369592237953975187)/(9445341485401297780438338746409375090840901)*a^(15) - (15331278289890549611627928457888121159497)/(6746672489572355557455956247435267922029215)*a^(14) + (443437027452120302264418152458944398901262)/(47226707427006488902191693732046875454204505)*a^(13) - (1339802261358900726240376048124539913566484)/(47226707427006488902191693732046875454204505)*a^(12) + (2941938743330151996357054240061391753116959)/(47226707427006488902191693732046875454204505)*a^(11) - (3411553316572737600410319309117864148055131)/(47226707427006488902191693732046875454204505)*a^(10) - (34816739636743640277620074440990133109005511)/(47226707427006488902191693732046875454204505)*a^(9) - (4109264297555665040690049453458910891864246)/(47226707427006488902191693732046875454204505)*a^(8) + (736050186092624109532166431737732327113464679)/(47226707427006488902191693732046875454204505)*a^(7) - (3203743624250549043719964778896414375938368459)/(47226707427006488902191693732046875454204505)*a^(6) + (692912306503117601863075387717991093410971271)/(6746672489572355557455956247435267922029215)*a^(5) + (505809722543933344230837100422676518505771719)/(9445341485401297780438338746409375090840901)*a^(4) - (1410298240876939739524092502944879666805411308)/(47226707427006488902191693732046875454204505)*a^(3) + (1224149658379610336592022081095518162294730806)/(9445341485401297780438338746409375090840901)*a^(2) + (2133874890493895541737202525495311851429811241)/(47226707427006488902191693732046875454204505)*a - (2065523518032190054903643028433386442671399492)/(47226707427006488902191693732046875454204505) , (5933756444209588997087584157130025352989)/(47226707427006488902191693732046875454204505)*a^(15) - (4727497103064743524834252589903714817103)/(6746672489572355557455956247435267922029215)*a^(14) + (128672121268514022294038364261913197145009)/(47226707427006488902191693732046875454204505)*a^(13) - (362370283962780789702908270811751577916343)/(47226707427006488902191693732046875454204505)*a^(12) + (717211442371106404135044761660791546729446)/(47226707427006488902191693732046875454204505)*a^(11) - (541691066530843638954910700549416576685306)/(47226707427006488902191693732046875454204505)*a^(10) - (12865186889126374185910908415920777276856993)/(47226707427006488902191693732046875454204505)*a^(9) - (11237578509568412243111274377404695046599684)/(47226707427006488902191693732046875454204505)*a^(8) + (252900488399265624099073219083481618825847834)/(47226707427006488902191693732046875454204505)*a^(7) - (927350674816227752580969124461047103282854522)/(47226707427006488902191693732046875454204505)*a^(6) + (26413564754494796424055853439481489153458750)/(1349334497914471111491191249487053584405843)*a^(5) + (1859682876251541274946008684816701618000713446)/(47226707427006488902191693732046875454204505)*a^(4) + (623243580517019572297222104810634418311220978)/(47226707427006488902191693732046875454204505)*a^(3) + (2243947466527508890965087783853408231588760412)/(47226707427006488902191693732046875454204505)*a^(2) + (485906579933917604614628137551241551888389929)/(9445341485401297780438338746409375090840901)*a + (581071453003246465154165102875864017421874014)/(47226707427006488902191693732046875454204505) , (1823942668353557358205339430740435)/(42231369844902228771906708694158354493)*a^(15) - (11612493938401944161672235865454844)/(42231369844902228771906708694158354493)*a^(14) + (245239494365402741285582098276880918)/(211156849224511143859533543470791772465)*a^(13) - (759287973387619496255773706134148381)/(211156849224511143859533543470791772465)*a^(12) + (1726149989599255354816135558837826193)/(211156849224511143859533543470791772465)*a^(11) - (2229020669797021710372640588106227692)/(211156849224511143859533543470791772465)*a^(10) - (18027863546173167085668322005246742109)/(211156849224511143859533543470791772465)*a^(9) - (2568104849269930757752399883187053561)/(211156849224511143859533543470791772465)*a^(8) + (385800350186989940019416521812050430973)/(211156849224511143859533543470791772465)*a^(7) - (1733532800863629745817872716450260447532)/(211156849224511143859533543470791772465)*a^(6) + (2876833978326024030716722723352837085187)/(211156849224511143859533543470791772465)*a^(5) + (358248964753191727212664772201456110244)/(211156849224511143859533543470791772465)*a^(4) + (402068121197191301423492736277443344978)/(211156849224511143859533543470791772465)*a^(3) + (5133659527181416259825152764702139283922)/(211156849224511143859533543470791772465)*a^(2) - (515628785460292985855806061288107283937)/(211156849224511143859533543470791772465)*a + (495748200478346918634262969251692703942)/(42231369844902228771906708694158354493) , (316298980448983434940785864492884078049992)/(47226707427006488902191693732046875454204505)*a^(15) - (287170492114549286396920100045530377099661)/(6746672489572355557455956247435267922029215)*a^(14) + (8305018226660797694722419543963717787480051)/(47226707427006488902191693732046875454204505)*a^(13) - (25089968609446215038766624373570186164566297)/(47226707427006488902191693732046875454204505)*a^(12) + (55090462987272638698475665998160074502286724)/(47226707427006488902191693732046875454204505)*a^(11) - (63837823499657457948261269478984249246958292)/(47226707427006488902191693732046875454204505)*a^(10) - (652320329472204061285387013299534764190062726)/(47226707427006488902191693732046875454204505)*a^(9) - (77584193717162408299010034223063665233583892)/(47226707427006488902191693732046875454204505)*a^(8) + (13789695547942734149373014497474658144102864553)/(47226707427006488902191693732046875454204505)*a^(7) - (59999932543459362329698597424558919539777694583)/(47226707427006488902191693732046875454204505)*a^(6) + (2593833821771382680580397258568099038622603650)/(1349334497914471111491191249487053584405843)*a^(5) + (47442835011206977031321288551013645159913189364)/(47226707427006488902191693732046875454204505)*a^(4) - (26289594320275899601975049774753233019795795987)/(47226707427006488902191693732046875454204505)*a^(3) + (114686746038710098825273269374898758593982628844)/(47226707427006488902191693732046875454204505)*a^(2) + (39028764768149052536064219047880443153829863943)/(47226707427006488902191693732046875454204505)*a - (7664436979125752032980341021388284461803868101)/(9445341485401297780438338746409375090840901) , (203689567417137730056470395260512039622)/(47226707427006488902191693732046875454204505)*a^(15) - (7306021074113317656564760088493966279)/(6746672489572355557455956247435267922029215)*a^(14) - (831823034301101606643139833983550279904)/(9445341485401297780438338746409375090840901)*a^(13) + (25310441321507575785132135848225483460108)/(47226707427006488902191693732046875454204505)*a^(12) - (13910098404756762816560630825361876107081)/(9445341485401297780438338746409375090840901)*a^(11) - (50612994813645499088675422803274276119627)/(47226707427006488902191693732046875454204505)*a^(10) + (272087684901430709495029595671512688053962)/(9445341485401297780438338746409375090840901)*a^(9) - (13890191059466491894613200537884979380593027)/(47226707427006488902191693732046875454204505)*a^(8) + (59076056856205416086589841700825047601498114)/(47226707427006488902191693732046875454204505)*a^(7) - (27692677060903278290359871121452351782662244)/(9445341485401297780438338746409375090840901)*a^(6) + (3285092157949852000385351477940445379065288)/(1349334497914471111491191249487053584405843)*a^(5) + (167073399788731632884638689829095449416593604)/(47226707427006488902191693732046875454204505)*a^(4) - (65019327226027791639157041862490078654830109)/(47226707427006488902191693732046875454204505)*a^(3) + (230531699177301587146413409677082135652160386)/(47226707427006488902191693732046875454204505)*a^(2) + (35544541495880427678194368328261213429126503)/(9445341485401297780438338746409375090840901)*a - (166510851275796711212752049048210236672973)/(9445341485401297780438338746409375090840901) ], 368785319.596, [[x^2 - x - 1, 1], [x^4 - 17*x^2 + 71, 1], [x^8 - 2*x^7 - 8*x^6 + 46*x^5 - 166*x^4 + 374*x^3 - 608*x^2 + 22*x + 121, 1]]]