/* 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^21 - 6*x^20 + 12*x^19 - 2*x^18 - 27*x^17 + 36*x^16 - 39*x^15 + 180*x^14 - 396*x^13 + 183*x^12 + 558*x^11 - 738*x^10 - 339*x^9 + 1035*x^8 + 27*x^7 - 936*x^6 + 27*x^5 + 621*x^4 + 99*x^3 - 189*x^2 - 81*x - 9, 21, 44, [9, 6], 3326751700248238687839567609, [3, 53], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, 1/3*a^11 - 1/3*a^10 + 1/3*a^9, 1/3*a^12 + 1/3*a^9, 1/3*a^13 + 1/3*a^10, 1/3*a^14 + 1/3*a^10 - 1/3*a^9, 1/3*a^15 - 1/3*a^9, 1/3*a^16 - 1/3*a^10, 1/3*a^17 - 1/3*a^10 + 1/3*a^9, 1/3*a^18 + 1/3*a^9, 1/3*a^19 + 1/3*a^10, 1/131267373453922011*a^20 + 3568031924046535/131267373453922011*a^19 - 5399012776593289/131267373453922011*a^18 + 6080177706115754/43755791151307337*a^17 - 14379236418416138/131267373453922011*a^16 - 4236816674436930/43755791151307337*a^15 - 3562962154747100/131267373453922011*a^14 - 601857998880935/43755791151307337*a^13 - 20139852429904810/131267373453922011*a^12 - 8521005840023245/131267373453922011*a^11 + 15212291606741854/43755791151307337*a^10 + 56103061540374208/131267373453922011*a^9 - 8043809703017535/43755791151307337*a^8 + 1392902357004468/43755791151307337*a^7 - 12860479142177285/43755791151307337*a^6 + 20537715197487697/43755791151307337*a^5 - 365761297640640/43755791151307337*a^4 + 17974934912327320/43755791151307337*a^3 - 18733238645192621/43755791151307337*a^2 + 1711371639092380/43755791151307337*a + 4546273266963611/43755791151307337], 0, 1, [], 1, [ (21558840803323193)/(43755791151307337)*a^(20) - (405702114009999433)/(131267373453922011)*a^(19) + (873746880970798864)/(131267373453922011)*a^(18) - (304494763044679393)/(131267373453922011)*a^(17) - (1759520272148103106)/(131267373453922011)*a^(16) + (2782788808731500069)/(131267373453922011)*a^(15) - (3043073570141616493)/(131267373453922011)*a^(14) + (4080167996187260888)/(43755791151307337)*a^(13) - (28485131274232053028)/(131267373453922011)*a^(12) + (5867419632148092190)/(43755791151307337)*a^(11) + (11524757662048286528)/(43755791151307337)*a^(10) - (57639706656804389813)/(131267373453922011)*a^(9) - (3712551282606158724)/(43755791151307337)*a^(8) + (24620575859531086724)/(43755791151307337)*a^(7) - (4752050699745215387)/(43755791151307337)*a^(6) - (20741633387314932974)/(43755791151307337)*a^(5) + (5398148605675825086)/(43755791151307337)*a^(4) + (13455488200837425673)/(43755791151307337)*a^(3) - (862734198079792689)/(43755791151307337)*a^(2) - (4411283943548664582)/(43755791151307337)*a - (906404511692729339)/(43755791151307337) , (24493086555062221)/(131267373453922011)*a^(20) - (140809062458289161)/(131267373453922011)*a^(19) + (267113165557386584)/(131267373453922011)*a^(18) - (16654387407561703)/(131267373453922011)*a^(17) - (637836779265734375)/(131267373453922011)*a^(16) + (266078177170621081)/(43755791151307337)*a^(15) - (905889266563999942)/(131267373453922011)*a^(14) + (4194267593492236850)/(131267373453922011)*a^(13) - (8802127005145654139)/(131267373453922011)*a^(12) + (1114847497399561269)/(43755791151307337)*a^(11) + (4487363982196218234)/(43755791151307337)*a^(10) - (16397773616939245168)/(131267373453922011)*a^(9) - (2871500519816142010)/(43755791151307337)*a^(8) + (7812397558888658325)/(43755791151307337)*a^(7) + (398019099362769792)/(43755791151307337)*a^(6) - (7154638427496513922)/(43755791151307337)*a^(5) + (369504744088735701)/(43755791151307337)*a^(4) + (4425975034726420069)/(43755791151307337)*a^(3) + (333618011601691496)/(43755791151307337)*a^(2) - (1263303890414152690)/(43755791151307337)*a - (278759103099810852)/(43755791151307337) , (104125227161347948)/(131267373453922011)*a^(20) - (652923492327629989)/(131267373453922011)*a^(19) + (1427038994855263426)/(131267373453922011)*a^(18) - (598554906415006087)/(131267373453922011)*a^(17) - (881322076253150974)/(43755791151307337)*a^(16) + (1490729382839486638)/(43755791151307337)*a^(15) - (5303595339678063232)/(131267373453922011)*a^(14) + (20207755658522182720)/(131267373453922011)*a^(13) - (46717885747985394406)/(131267373453922011)*a^(12) + (31781075143330520671)/(131267373453922011)*a^(11) + (16453695856059139676)/(43755791151307337)*a^(10) - (30137163262561966783)/(43755791151307337)*a^(9) - (3313504909869411278)/(43755791151307337)*a^(8) + (36533513139031408593)/(43755791151307337)*a^(7) - (9066587256073163213)/(43755791151307337)*a^(6) - (29642784999343307864)/(43755791151307337)*a^(5) + (8876623100815427446)/(43755791151307337)*a^(4) + (18897307820891474865)/(43755791151307337)*a^(3) - (1566753339934963885)/(43755791151307337)*a^(2) - (6017120388843290522)/(43755791151307337)*a - (1166602063198654865)/(43755791151307337) , (44783344690978658)/(131267373453922011)*a^(20) - (288749670634934081)/(131267373453922011)*a^(19) + (220092813700309097)/(43755791151307337)*a^(18) - (119420542765133686)/(43755791151307337)*a^(17) - (1075982731034146531)/(131267373453922011)*a^(16) + (2051226909275573339)/(131267373453922011)*a^(15) - (851736980880891837)/(43755791151307337)*a^(14) + (9163792610971322563)/(131267373453922011)*a^(13) - (21681094459890654598)/(131267373453922011)*a^(12) + (17071555612869446450)/(131267373453922011)*a^(11) + (6106389761663793346)/(43755791151307337)*a^(10) - (13487566829912219727)/(43755791151307337)*a^(9) + (110259599705244987)/(43755791151307337)*a^(8) + (15545335435536931763)/(43755791151307337)*a^(7) - (5479864431069291034)/(43755791151307337)*a^(6) - (12036982261526207539)/(43755791151307337)*a^(5) + (4839546251022451274)/(43755791151307337)*a^(4) + (7683479052401227885)/(43755791151307337)*a^(3) - (1185967062454489506)/(43755791151307337)*a^(2) - (2397162627494628619)/(43755791151307337)*a - (385821047508804887)/(43755791151307337) , (47896808211061532)/(131267373453922011)*a^(20) - (301552622449718875)/(131267373453922011)*a^(19) + (662303866464286942)/(131267373453922011)*a^(18) - (95114082674932001)/(43755791151307337)*a^(17) - (404682028270513864)/(43755791151307337)*a^(16) + (691011670844813768)/(43755791151307337)*a^(15) - (820469744744735912)/(43755791151307337)*a^(14) + (9346857152999701676)/(131267373453922011)*a^(13) - (21683996508897042211)/(131267373453922011)*a^(12) + (4991094313004158419)/(43755791151307337)*a^(11) + (7498483532345991021)/(43755791151307337)*a^(10) - (41816475777405961394)/(131267373453922011)*a^(9) - (1433724642795393840)/(43755791151307337)*a^(8) + (16908081096766776194)/(43755791151307337)*a^(7) - (4353323305415447989)/(43755791151307337)*a^(6) - (13676791440549853111)/(43755791151307337)*a^(5) + (4261160724275111454)/(43755791151307337)*a^(4) + (8674019960109472097)/(43755791151307337)*a^(3) - (874508985351017152)/(43755791151307337)*a^(2) - (2718233175887397743)/(43755791151307337)*a - (504689014015491057)/(43755791151307337) , (10059439258167100)/(43755791151307337)*a^(20) - (192488504593190725)/(131267373453922011)*a^(19) + (142118901750783041)/(43755791151307337)*a^(18) - (59317353066714629)/(43755791151307337)*a^(17) - (273077198248306063)/(43755791151307337)*a^(16) + (463969022880164490)/(43755791151307337)*a^(15) - (516485127907224210)/(43755791151307337)*a^(14) + (5850202329776080675)/(131267373453922011)*a^(13) - (4609478355905928749)/(43755791151307337)*a^(12) + (9332294358504272122)/(131267373453922011)*a^(11) + (15764605969441283678)/(131267373453922011)*a^(10) - (28997653860955583084)/(131267373453922011)*a^(9) - (745409052245525051)/(43755791151307337)*a^(8) + (11598535274449037798)/(43755791151307337)*a^(7) - (3298159078385090955)/(43755791151307337)*a^(6) - (9373010592724967056)/(43755791151307337)*a^(5) + (3308277184914103576)/(43755791151307337)*a^(4) + (6006887336483845071)/(43755791151307337)*a^(3) - (788786615083457393)/(43755791151307337)*a^(2) - (1962812133015638642)/(43755791151307337)*a - (282879345143190651)/(43755791151307337) , (5908412755607435)/(131267373453922011)*a^(20) - (35855193517496402)/(131267373453922011)*a^(19) + (82698242222100929)/(131267373453922011)*a^(18) - (63625022035507769)/(131267373453922011)*a^(17) - (85264446850367405)/(131267373453922011)*a^(16) + (242734612580693261)/(131267373453922011)*a^(15) - (433092837578709400)/(131267373453922011)*a^(14) + (1266103539365095886)/(131267373453922011)*a^(13) - (2743435421724616133)/(131267373453922011)*a^(12) + (2710267288316364767)/(131267373453922011)*a^(11) + (250091184091417399)/(43755791151307337)*a^(10) - (1419158651625134920)/(43755791151307337)*a^(9) + (763354806034170702)/(43755791151307337)*a^(8) + (951726994783728623)/(43755791151307337)*a^(7) - (1111114597851576384)/(43755791151307337)*a^(6) - (300180853257186132)/(43755791151307337)*a^(5) + (733444585043463496)/(43755791151307337)*a^(4) - (85058431342167397)/(43755791151307337)*a^(3) - (342274731344246163)/(43755791151307337)*a^(2) + (107104156328402749)/(43755791151307337)*a + (128108506783486816)/(43755791151307337) , (2998770234796728)/(43755791151307337)*a^(20) - (49770919493853430)/(131267373453922011)*a^(19) + (73540376074268279)/(131267373453922011)*a^(18) + (29453643104774275)/(43755791151307337)*a^(17) - (126784909749142986)/(43755791151307337)*a^(16) + (305536086909087347)/(131267373453922011)*a^(15) - (60280333971975610)/(131267373453922011)*a^(14) + (365650165405926179)/(43755791151307337)*a^(13) - (2191154122657795817)/(131267373453922011)*a^(12) - (1968858330922623605)/(131267373453922011)*a^(11) + (3381985279456843624)/(43755791151307337)*a^(10) - (2825374906981914558)/(43755791151307337)*a^(9) - (2487391314424518992)/(43755791151307337)*a^(8) + (4645177741782484848)/(43755791151307337)*a^(7) + (922431672929609559)/(43755791151307337)*a^(6) - (4590904209059917483)/(43755791151307337)*a^(5) - (110767645129316803)/(43755791151307337)*a^(4) + (3050446232526038418)/(43755791151307337)*a^(3) + (372731068140646534)/(43755791151307337)*a^(2) - (1068664799229940723)/(43755791151307337)*a - (270241726364327488)/(43755791151307337) , (80834729259317003)/(131267373453922011)*a^(20) - (168836864086946427)/(43755791151307337)*a^(19) + (1098578660338038901)/(131267373453922011)*a^(18) - (140855064991533406)/(43755791151307337)*a^(17) - (2117802997103504233)/(131267373453922011)*a^(16) + (3455788039127715749)/(131267373453922011)*a^(15) - (3945856993349358746)/(131267373453922011)*a^(14) + (5164600496836878735)/(43755791151307337)*a^(13) - (11979822371050105113)/(43755791151307337)*a^(12) + (7790149818986935572)/(43755791151307337)*a^(11) + (40517909398933923847)/(131267373453922011)*a^(10) - (70524892309273473664)/(131267373453922011)*a^(9) - (3776389233916162589)/(43755791151307337)*a^(8) + (29485329435000942778)/(43755791151307337)*a^(7) - (6174152211927834866)/(43755791151307337)*a^(6) - (24599856718119614769)/(43755791151307337)*a^(5) + (6634994024456730650)/(43755791151307337)*a^(4) + (15883052986307491024)/(43755791151307337)*a^(3) - (1013196440250174082)/(43755791151307337)*a^(2) - (5182708648959771418)/(43755791151307337)*a - (1112009164804666066)/(43755791151307337) , (7737207613181630)/(43755791151307337)*a^(20) - (152179951883414710)/(131267373453922011)*a^(19) + (124288501574780125)/(43755791151307337)*a^(18) - (296534816380391563)/(131267373453922011)*a^(17) - (409209810401108837)/(131267373453922011)*a^(16) + (1108780044923960875)/(131267373453922011)*a^(15) - (1690095030479510558)/(131267373453922011)*a^(14) + (5227587949843040291)/(131267373453922011)*a^(13) - (12385851947731631530)/(131267373453922011)*a^(12) + (12462194414977325270)/(131267373453922011)*a^(11) + (1399647243041546588)/(43755791151307337)*a^(10) - (20028956031105699347)/(131267373453922011)*a^(9) + (2348079546680056511)/(43755791151307337)*a^(8) + (6150191679336407543)/(43755791151307337)*a^(7) - (4528468786172592695)/(43755791151307337)*a^(6) - (3653478676490205717)/(43755791151307337)*a^(5) + (3215823116493324034)/(43755791151307337)*a^(4) + (2098219435184315545)/(43755791151307337)*a^(3) - (1144724366193237734)/(43755791151307337)*a^(2) - (546066326117360699)/(43755791151307337)*a - (13554654361922427)/(43755791151307337) , (5949603219584631)/(43755791151307337)*a^(20) - (37016663214954915)/(43755791151307337)*a^(19) + (80871311885148104)/(43755791151307337)*a^(18) - (34289739735841626)/(43755791151307337)*a^(17) - (452195757545362175)/(131267373453922011)*a^(16) + (258558560883906445)/(43755791151307337)*a^(15) - (919875668953030574)/(131267373453922011)*a^(14) + (3415805147197751776)/(131267373453922011)*a^(13) - (7913073430583839486)/(131267373453922011)*a^(12) + (1810356592927756619)/(43755791151307337)*a^(11) + (8480943210468256096)/(131267373453922011)*a^(10) - (15814549138609476677)/(131267373453922011)*a^(9) - (404157499191875315)/(43755791151307337)*a^(8) + (6338505524905308025)/(43755791151307337)*a^(7) - (1814994662620620129)/(43755791151307337)*a^(6) - (5119789311446448796)/(43755791151307337)*a^(5) + (1870641825357696694)/(43755791151307337)*a^(4) + (3190387755389637653)/(43755791151307337)*a^(3) - (567230826807145844)/(43755791151307337)*a^(2) - (1120523214262782795)/(43755791151307337)*a - (171076876915372150)/(43755791151307337) , (40915401261118462)/(131267373453922011)*a^(20) - (262586879769430274)/(131267373453922011)*a^(19) + (581020419930019585)/(131267373453922011)*a^(18) - (232316574823589407)/(131267373453922011)*a^(17) - (1134724033712761229)/(131267373453922011)*a^(16) + (625632709966052587)/(43755791151307337)*a^(15) - (675275181701691252)/(43755791151307337)*a^(14) + (2647340640701261266)/(43755791151307337)*a^(13) - (18896458919877389732)/(131267373453922011)*a^(12) + (12461058867388334126)/(131267373453922011)*a^(11) + (7339088628413975362)/(43755791151307337)*a^(10) - (39067717932135242377)/(131267373453922011)*a^(9) - (1727893897881064383)/(43755791151307337)*a^(8) + (16220197988640655492)/(43755791151307337)*a^(7) - (3810110927696693819)/(43755791151307337)*a^(6) - (13482463026517283076)/(43755791151307337)*a^(5) + (3996684142680449610)/(43755791151307337)*a^(4) + (8841641652053194006)/(43755791151307337)*a^(3) - (625910329988342804)/(43755791151307337)*a^(2) - (2987831749260013228)/(43755791151307337)*a - (632516206677512349)/(43755791151307337) , (32855219004886189)/(131267373453922011)*a^(20) - (64938840607086778)/(43755791151307337)*a^(19) + (124992533508096760)/(43755791151307337)*a^(18) + (2616977533713998)/(131267373453922011)*a^(17) - (1005981575084821393)/(131267373453922011)*a^(16) + (413299014991991463)/(43755791151307337)*a^(15) - (1117783099207764866)/(131267373453922011)*a^(14) + (5486230348089811538)/(131267373453922011)*a^(13) - (12076317344480964161)/(131267373453922011)*a^(12) + (3623110608993067660)/(131267373453922011)*a^(11) + (22571888976470344463)/(131267373453922011)*a^(10) - (27578495516939947237)/(131267373453922011)*a^(9) - (4257356620740961488)/(43755791151307337)*a^(8) + (13035606519150814384)/(43755791151307337)*a^(7) - (110722264149921232)/(43755791151307337)*a^(6) - (11813395177119144878)/(43755791151307337)*a^(5) + (1269615357499955238)/(43755791151307337)*a^(4) + (7638667141423360693)/(43755791151307337)*a^(3) + (380860583329666214)/(43755791151307337)*a^(2) - (2472181339035375765)/(43755791151307337)*a - (583691797586633929)/(43755791151307337) , (77597956359348335)/(131267373453922011)*a^(20) - (164989137815630517)/(43755791151307337)*a^(19) + (1107650205300350639)/(131267373453922011)*a^(18) - (175852806362102317)/(43755791151307337)*a^(17) - (649555648004844066)/(43755791151307337)*a^(16) + (1156621287458196541)/(43755791151307337)*a^(15) - (4152762357177475993)/(131267373453922011)*a^(14) + (5149047808998937711)/(43755791151307337)*a^(13) - (12096074747374313137)/(43755791151307337)*a^(12) + (26482057464793449373)/(131267373453922011)*a^(11) + (11719423117821364341)/(43755791151307337)*a^(10) - (69614882463069586621)/(131267373453922011)*a^(9) - (1412841851548033355)/(43755791151307337)*a^(8) + (27688835382502664777)/(43755791151307337)*a^(7) - (8054578890730275073)/(43755791151307337)*a^(6) - (22228817275769668263)/(43755791151307337)*a^(5) + (7677852085263631091)/(43755791151307337)*a^(4) + (14183193972039103586)/(43755791151307337)*a^(3) - (1688681485975774199)/(43755791151307337)*a^(2) - (4570609225961585653)/(43755791151307337)*a - (841269315825455997)/(43755791151307337) ], 967276.035305, [[x^3 - 3*x - 1, 1], [x^7 - 3*x^6 + 3*x^5 - x^4 - 6*x^3 + 6*x^2 + 2*x - 3, 1]]]