/* 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^22 - 4*x^20 - 439*x^18 - 1549*x^16 + 5292*x^14 + 11519*x^12 - 25067*x^10 - 2315*x^8 + 10967*x^6 + 2679*x^4 - 156*x^2 - 49, 22, 39, [10, 6], 4129233136056857981979443884256982828952059904, [2, 74843], [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, a^15, 1/9*a^16 + 2/9*a^14 + 2/9*a^12 + 4/9*a^10 - 2/9*a^8 - 4/9, 1/9*a^17 + 2/9*a^15 + 2/9*a^13 + 4/9*a^11 - 2/9*a^9 - 4/9*a, 1/81*a^18 + 1/27*a^16 - 5/81*a^14 - 7/27*a^12 + 2/81*a^10 + 25/81*a^8 - 1/9*a^6 + 1/9*a^4 + 23/81*a^2 - 4/81, 1/81*a^19 + 1/27*a^17 - 5/81*a^15 - 7/27*a^13 + 2/81*a^11 + 25/81*a^9 - 1/9*a^7 + 1/9*a^5 + 23/81*a^3 - 4/81*a, 1/84699917326499853699*a^20 + 163614170592025960/84699917326499853699*a^18 - 1588651118065492220/84699917326499853699*a^16 + 23386856370014623384/84699917326499853699*a^14 + 33789359523139706024/84699917326499853699*a^12 + 2193194036712619676/9411101925166650411*a^10 + 12003215131073068171/84699917326499853699*a^8 + 151149764229837146/348559330561727793*a^6 + 2798155759044462323/84699917326499853699*a^4 + 14863786280858977471/84699917326499853699*a^2 - 1885072494379702558/84699917326499853699, 1/592899421285498975893*a^21 + 3300648145647576097/592899421285498975893*a^19 - 1588651118065492220/592899421285498975893*a^17 + 73579399970903425576/592899421285498975893*a^15 + 4827051360448529432/84699917326499853699*a^13 + 17529804581428642568/65877713476166552877*a^11 + 3507335861613609817/84699917326499853699*a^9 + 244027327277572267/813305104644031517*a^7 + 31031461534544413556/592899421285498975893*a^5 + 2315650380636776923/592899421285498975893*a^3 + 277310951285564259635/592899421285498975893*a], 0, 1, [], 1, [ (2571450514459503167)/(84699917326499853699)*a^(20) - (10685325741370234759)/(84699917326499853699)*a^(18) - (1127070730730213978701)/(84699917326499853699)*a^(16) - (3808576309622604452107)/(84699917326499853699)*a^(14) + (14140114924641511497235)/(84699917326499853699)*a^(12) + (3022093409854923543854)/(9411101925166650411)*a^(10) - (68034087063264199909747)/(84699917326499853699)*a^(8) + (77522065526612520211)/(1045677991685183379)*a^(6) + (24391988957766072840436)/(84699917326499853699)*a^(4) + (2596768577156485462538)/(84699917326499853699)*a^(2) - (145045785736301761313)/(84699917326499853699) , (93437602169214791)/(28233305775499951233)*a^(20) - (434773244028900628)/(28233305775499951233)*a^(18) - (40785900011334645682)/(28233305775499951233)*a^(16) - (117939747750050795560)/(28233305775499951233)*a^(14) + (593894481772060850677)/(28233305775499951233)*a^(12) + (29138170713450583972)/(1045677991685183379)*a^(10) - (3031355251520186921365)/(28233305775499951233)*a^(8) + (13144097494514278034)/(348559330561727793)*a^(6) + (932620676684698453501)/(28233305775499951233)*a^(4) - (25446772394236840939)/(28233305775499951233)*a^(2) - (36368481408550901324)/(28233305775499951233) , (385397366153234180)/(28233305775499951233)*a^(20) - (1586579634598382797)/(28233305775499951233)*a^(18) - (168980151791352271249)/(28233305775499951233)*a^(16) - (577324731145436731018)/(28233305775499951233)*a^(14) + (2096278568647227941935)/(28233305775499951233)*a^(12) + (1381980731178107256209)/(9411101925166650411)*a^(10) - (10072747596441732051715)/(28233305775499951233)*a^(8) + (23031343075613505320)/(1045677991685183379)*a^(6) + (3932051931161844488980)/(28233305775499951233)*a^(4) + (382558168332959288069)/(28233305775499951233)*a^(2) - (105339355981674120473)/(28233305775499951233) , (128385219535923301862)/(592899421285498975893)*a^(21) - (528564329524852826650)/(592899421285498975893)*a^(19) - (56300072375129543598475)/(592899421285498975893)*a^(17) - (192275294866186280574730)/(592899421285498975893)*a^(15) + (100323421450608386197861)/(84699917326499853699)*a^(13) + (51743271033044997326833)/(21959237825388850959)*a^(11) - (484210855092652162336345)/(84699917326499853699)*a^(9) + (1218101346142754457332)/(7319745941796283653)*a^(7) + (1440553424981576699038957)/(592899421285498975893)*a^(5) + (141555821406339666577991)/(592899421285498975893)*a^(3) - (44892320194079269758002)/(592899421285498975893)*a , (64048765445313322627)/(592899421285498975893)*a^(21) - (274165050660919837007)/(592899421285498975893)*a^(19) - (28040176517836637169389)/(592899421285498975893)*a^(17) - (91345529145936132360269)/(592899421285498975893)*a^(15) + (52062657737820065044115)/(84699917326499853699)*a^(13) + (70556363800077684736085)/(65877713476166552877)*a^(11) - (254616533755849898492237)/(84699917326499853699)*a^(9) + (487304991133861791104)/(813305104644031517)*a^(7) + (597163079027093239137137)/(592899421285498975893)*a^(5) + (5182459964553450772693)/(592899421285498975893)*a^(3) - (11138063055080296443700)/(592899421285498975893)*a , (257205835880831032)/(592899421285498975893)*a^(21) - (2389821706557200303)/(592899421285498975893)*a^(19) - (107859064705081378754)/(592899421285498975893)*a^(17) + (199417557066922158568)/(592899421285498975893)*a^(15) + (520577300440780078355)/(84699917326499853699)*a^(13) - (344772944950783219390)/(65877713476166552877)*a^(11) - (3112851965413459189349)/(84699917326499853699)*a^(9) + (34700058170102781307)/(813305104644031517)*a^(7) - (805952135966674196890)/(592899421285498975893)*a^(5) - (2184889032022322972981)/(592899421285498975893)*a^(3) + (169957511158727782646)/(592899421285498975893)*a , (3490764131665502479)/(65877713476166552877)*a^(21) - (561080842914247087)/(2439915313932094551)*a^(19) - (1527342294184854457631)/(65877713476166552877)*a^(17) - (1629338036229613778549)/(21959237825388850959)*a^(15) + (2879058412495255741289)/(9411101925166650411)*a^(13) + (33419202053486859925408)/(65877713476166552877)*a^(11) - (4720926835355561423092)/(3137033975055550137)*a^(9) + (2802036002112863869567)/(7319745941796283653)*a^(7) + (31147807353873313198073)/(65877713476166552877)*a^(5) - (1706905827085133734039)/(65877713476166552877)*a^(3) - (132032096789490507797)/(21959237825388850959)*a , (7331287229461917763)/(84699917326499853699)*a^(20) - (30474010131936650882)/(84699917326499853699)*a^(18) - (3213698621110514322134)/(84699917326499853699)*a^(16) - (10852440187060295466176)/(84699917326499853699)*a^(14) + (40515040818869310140195)/(84699917326499853699)*a^(12) + (321721473868011094424)/(348559330561727793)*a^(10) - (196140167293398379426409)/(84699917326499853699)*a^(8) + (163562134027691255098)/(1045677991685183379)*a^(6) + (78778893659349635944352)/(84699917326499853699)*a^(4) + (7664522457896871570403)/(84699917326499853699)*a^(2) - (2308172447809022884102)/(84699917326499853699) , (347514032286681082)/(84699917326499853699)*a^(20) - (1541553018162848477)/(84699917326499853699)*a^(18) - (151937937395226362093)/(84699917326499853699)*a^(16) - (471906241187339083853)/(84699917326499853699)*a^(14) + (2067438121605314596136)/(84699917326499853699)*a^(12) + (118620198825998151325)/(3137033975055550137)*a^(10) - (10280634284360048055521)/(84699917326499853699)*a^(8) + (36281366159584462765)/(1045677991685183379)*a^(6) + (3077699279101093446506)/(84699917326499853699)*a^(4) + (41675252698402299565)/(84699917326499853699)*a^(2) - (52235539229518319800)/(84699917326499853699) , (453524286547294024)/(28233305775499951233)*a^(20) - (2020840889364255827)/(28233305775499951233)*a^(18) - (198196020355284329471)/(28233305775499951233)*a^(16) - (612061027648876379309)/(28233305775499951233)*a^(14) + (2687817176453865401420)/(28233305775499951233)*a^(12) + (446890441795851864251)/(3137033975055550137)*a^(10) - (13340345183481903692597)/(28233305775499951233)*a^(8) + (20082025394622622359)/(116186443520575931)*a^(6) + (3486057967846904911661)/(28233305775499951233)*a^(4) - (707428521121288616447)/(28233305775499951233)*a^(2) - (7720147084112502820)/(28233305775499951233) , (17971545667960614956)/(197633140428499658631)*a^(21) - (1634013654495680906)/(28233305775499951233)*a^(20) - (68436955021197443605)/(197633140428499658631)*a^(19) + (6456410355980588890)/(28233305775499951233)*a^(18) - (7904142153464902194160)/(197633140428499658631)*a^(17) + (717660457405120704004)/(28233305775499951233)*a^(16) - (29350029452318627539288)/(197633140428499658631)*a^(15) + (2566080377648817688558)/(28233305775499951233)*a^(14) + (12876171870091161594436)/(28233305775499951233)*a^(13) - (8528351022884158024411)/(28233305775499951233)*a^(12) + (25234772209219755377843)/(21959237825388850959)*a^(11) - (2143278349706635262423)/(3137033975055550137)*a^(10) - (58934674500101773039588)/(28233305775499951233)*a^(9) + (39945408075423587996791)/(28233305775499951233)*a^(8) - (1738897976647916782760)/(2439915313932094551)*a^(7) + (74667446986726412456)/(348559330561727793)*a^(6) + (191335350004211510057257)/(197633140428499658631)*a^(5) - (16977497719035985051027)/(28233305775499951233)*a^(4) + (94773456847982243070806)/(197633140428499658631)*a^(3) - (5565186432381195393146)/(28233305775499951233)*a^(2) + (11374909705564446706360)/(197633140428499658631)*a - (382917959639846862592)/(28233305775499951233) , (1203452912204490009851)/(592899421285498975893)*a^(21) - (187661079765010898648)/(84699917326499853699)*a^(20) - (3398554901689637114137)/(592899421285498975893)*a^(19) + (534271445234094298351)/(84699917326499853699)*a^(18) - (532352925587405225964742)/(592899421285498975893)*a^(17) + (83001473719401152739958)/(84699917326499853699)*a^(16) - (2490088669096924372039237)/(592899421285498975893)*a^(15) + (386381382891974094624895)/(84699917326499853699)*a^(14) + (494034290270349934350388)/(84699917326499853699)*a^(13) - (548599948372691426756692)/(84699917326499853699)*a^(12) + (2001887823139278014586404)/(65877713476166552877)*a^(11) - (310991481616635313967636)/(9411101925166650411)*a^(10) - (1296924982499147660816572)/(84699917326499853699)*a^(9) + (1483336726414982883369448)/(84699917326499853699)*a^(8) - (174117030263236255156928)/(7319745941796283653)*a^(7) + (26922616434781142608235)/(1045677991685183379)*a^(6) - (3222918936612921988538771)/(592899421285498975893)*a^(5) + (444140094714104195737367)/(84699917326499853699)*a^(4) + (6847295159622602612141)/(592899421285498975893)*a^(3) - (22186846617048919143629)/(84699917326499853699)*a^(2) + (32454965885576193391828)/(592899421285498975893)*a - (7108137007892503492027)/(84699917326499853699) , (781902861065014537469)/(592899421285498975893)*a^(21) - (1115716386161367857)/(3137033975055550137)*a^(20) - (2939036666379545170207)/(592899421285498975893)*a^(19) + (15002126623576669499)/(9411101925166650411)*a^(18) - (343792662376111358745955)/(592899421285498975893)*a^(17) + (163083059138855477849)/(1045677991685183379)*a^(16) - (1294358095107199403400661)/(592899421285498975893)*a^(15) + (4468146784995986503700)/(9411101925166650411)*a^(14) + (535665306428797588478443)/(84699917326499853699)*a^(13) - (2482247529444011096902)/(1045677991685183379)*a^(12) + (1051560158281159215355586)/(65877713476166552877)*a^(11) - (42313995207772304917004)/(9411101925166650411)*a^(10) - (2493383372518309422052570)/(84699917326499853699)*a^(9) + (99983974724112917897678)/(9411101925166650411)*a^(8) - (52256829147265250479322)/(7319745941796283653)*a^(7) + (1975966661344586860030)/(1045677991685183379)*a^(6) + (7561706530928362041036259)/(592899421285498975893)*a^(5) - (15122992012743108335683)/(3137033975055550137)*a^(4) + (2996935247273958605854838)/(592899421285498975893)*a^(3) - (17189072525266370797508)/(9411101925166650411)*a^(2) + (279357998021847718340518)/(592899421285498975893)*a - (1567757485490722784438)/(9411101925166650411) , (725205970611587769865)/(592899421285498975893)*a^(21) + (148351126828199199827)/(84699917326499853699)*a^(20) - (1294267583662589142422)/(592899421285498975893)*a^(19) - (246033048785155715518)/(84699917326499853699)*a^(18) - (321160930210007635216397)/(592899421285498975893)*a^(17) - (65737245615041766509758)/(84699917326499853699)*a^(16) - (1834969160150477687596619)/(592899421285498975893)*a^(15) - (383651860592788755827926)/(84699917326499853699)*a^(14) - (36991568382859956742642)/(84699917326499853699)*a^(13) - (97782083142087648129287)/(84699917326499853699)*a^(12) + (845568889329547669770479)/(65877713476166552877)*a^(11) + (173852743424333551103827)/(9411101925166650411)*a^(10) - (182775144974643954493670)/(84699917326499853699)*a^(9) - (63107603556778107778447)/(84699917326499853699)*a^(8) - (15414308589594078579542)/(2439915313932094551)*a^(7) - (3522570877303231349021)/(348559330561727793)*a^(6) - (715949409720405058835464)/(592899421285498975893)*a^(5) - (225824649129584789762036)/(84699917326499853699)*a^(4) + (54936761222567930221024)/(592899421285498975893)*a^(3) + (11583495303082176259841)/(84699917326499853699)*a^(2) + (10979421479235729552905)/(592899421285498975893)*a + (4137024496084502046586)/(84699917326499853699) , (65918771601871249293931)/(197633140428499658631)*a^(21) - (31819384249686612093061)/(84699917326499853699)*a^(20) - (179986320887529173643314)/(197633140428499658631)*a^(19) + (86843351009507283655412)/(84699917326499853699)*a^(18) - (29166721839219023584966163)/(197633140428499658631)*a^(17) + (14079037884384617743609613)/(84699917326499853699)*a^(16) - (139137751233996567533526323)/(197633140428499658631)*a^(15) + (67179063697808222527607303)/(84699917326499853699)*a^(14) + (24591583856626391646307445)/(28233305775499951233)*a^(13) - (83008915841794070806839764)/(84699917326499853699)*a^(12) + (325854769158800668582135390)/(65877713476166552877)*a^(11) - (52437096538368298121371750)/(9411101925166650411)*a^(10) - (58741280498244640437805349)/(28233305775499951233)*a^(9) + (197951342674378118718179603)/(84699917326499853699)*a^(8) - (24920286466030287057123347)/(7319745941796283653)*a^(7) + (4010060849831535938480713)/(1045677991685183379)*a^(6) - (130900153090720880649852508)/(197633140428499658631)*a^(5) + (63347097893595795660985033)/(84699917326499853699)*a^(4) + (10142760720797922771653962)/(197633140428499658631)*a^(3) - (4873508634284935493074777)/(84699917326499853699)*a^(2) + (2544597506200271075725040)/(197633140428499658631)*a - (1228342371861463489031090)/(84699917326499853699) ], 944497361130000, [[x^11 - 4*x^10 - 25*x^9 + 81*x^8 + 237*x^7 - 562*x^6 - 1010*x^5 + 1574*x^4 + 1805*x^3 - 1586*x^2 - 847*x + 579, 1]]]