/* 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 + 22*x^20 + 130*x^18 - 380*x^16 - 7403*x^14 - 30874*x^12 - 41065*x^10 + 53058*x^8 + 199575*x^6 + 151126*x^4 + 156*x^2 - 49, 22, 39, [6, 8], 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, 1/3*a^14 - 1/3*a^12 + 1/3*a^10 - 1/3*a^8 + 1/3*a^6 - 1/3*a^4 - 1/3*a^2 + 1/3, 1/3*a^15 - 1/3*a^13 + 1/3*a^11 - 1/3*a^9 + 1/3*a^7 - 1/3*a^5 - 1/3*a^3 + 1/3*a, 1/3*a^16 + 1/3*a^4 + 1/3, 1/3*a^17 + 1/3*a^5 + 1/3*a, 1/3*a^18 + 1/3*a^6 + 1/3*a^2, 1/3*a^19 + 1/3*a^7 + 1/3*a^3, 1/79992621113781153*a^20 + 12228706727034632/79992621113781153*a^18 + 1881972523348334/79992621113781153*a^16 + 5566136950893442/79992621113781153*a^14 - 38517655002467881/79992621113781153*a^12 - 12469371006921224/79992621113781153*a^10 - 8272465748723973/26664207037927051*a^8 - 8581912316396554/26664207037927051*a^6 - 30041455466654305/79992621113781153*a^4 + 19130170782542695/79992621113781153*a^2 + 11668885307941228/26664207037927051, 1/559948347796468071*a^21 - 67763914386746521/559948347796468071*a^19 + 1881972523348334/559948347796468071*a^17 + 32230343988820493/559948347796468071*a^15 + 174796001300948527/559948347796468071*a^13 + 174180078258568133/559948347796468071*a^11 - 131474225397880123/559948347796468071*a^9 - 79074151025043764/559948347796468071*a^7 - 216690904732143662/559948347796468071*a^5 - 2511345418461452/186649449265489357*a^3 + 221656105189313041/559948347796468071*a], 0, 1, [], 1, [ (314619007211583)/(26664207037927051)*a^(20) + (17386082042917606)/(79992621113781153)*a^(18) + (60352750696685111)/(79992621113781153)*a^(16) - (192241178581748678)/(26664207037927051)*a^(14) - (1643129646236188639)/(26664207037927051)*a^(12) - (3808560605176281418)/(26664207037927051)*a^(10) + (899107526840856945)/(26664207037927051)*a^(8) + (41623158610902485659)/(79992621113781153)*a^(6) + (38932387682974138154)/(79992621113781153)*a^(4) - (907583874751222478)/(79992621113781153)*a^(2) - (41543388106596646)/(79992621113781153) , (424762463121020)/(79992621113781153)*a^(20) + (7745716156298359)/(79992621113781153)*a^(18) + (25900630987492870)/(79992621113781153)*a^(16) - (262139434631825927)/(79992621113781153)*a^(14) - (2172390172473676633)/(79992621113781153)*a^(12) - (4844418780576478328)/(79992621113781153)*a^(10) + (1817104675079892337)/(79992621113781153)*a^(8) + (18592732559394491555)/(79992621113781153)*a^(6) + (15228053016353370863)/(79992621113781153)*a^(4) - (993265953900447981)/(26664207037927051)*a^(2) + (1361188528313849)/(79992621113781153) , (1681229554866346)/(559948347796468071)*a^(21) + (32298748809029705)/(559948347796468071)*a^(19) + (131019022948462342)/(559948347796468071)*a^(17) - (957579473468817539)/(559948347796468071)*a^(15) - (9614559524344108426)/(559948347796468071)*a^(13) - (26660079210162087866)/(559948347796468071)*a^(11) - (2647046939749775341)/(186649449265489357)*a^(9) + (27155455425061264211)/(186649449265489357)*a^(7) + (118840282859045165449)/(559948347796468071)*a^(5) + (35474277622628624275)/(559948347796468071)*a^(3) - (4737651639234105994)/(559948347796468071)*a , (1940638213194062)/(186649449265489357)*a^(21) + (119037979983103088)/(559948347796468071)*a^(19) + (196880624578675865)/(186649449265489357)*a^(17) - (2784179047839014738)/(559948347796468071)*a^(15) - (37559202314192969857)/(559948347796468071)*a^(13) - (132759393017833388078)/(559948347796468071)*a^(11) - (131158537638931024846)/(559948347796468071)*a^(9) + (93500866388187991473)/(186649449265489357)*a^(7) + (765495867343247898155)/(559948347796468071)*a^(5) + (517287681396302595598)/(559948347796468071)*a^(3) + (17777724000756144673)/(559948347796468071)*a , (4074610964943380)/(559948347796468071)*a^(21) + (76660256403646756)/(559948347796468071)*a^(19) + (96435970466544995)/(186649449265489357)*a^(17) - (2398884933905054653)/(559948347796468071)*a^(15) - (22268779529099536514)/(559948347796468071)*a^(13) - (57183801173540446360)/(559948347796468071)*a^(11) - (1827618197707024920)/(186649449265489357)*a^(9) + (61800287531380267503)/(186649449265489357)*a^(7) + (76900073176609373639)/(186649449265489357)*a^(5) + (52963216642340382626)/(559948347796468071)*a^(3) + (989813186113903580)/(559948347796468071)*a , (719413123523887)/(79992621113781153)*a^(20) + (13914382165936388)/(79992621113781153)*a^(18) + (58434319664148149)/(79992621113781153)*a^(16) - (393935320552655624)/(79992621113781153)*a^(14) - (4160600883534630589)/(79992621113781153)*a^(12) - (12312656213702476433)/(79992621113781153)*a^(10) - (2191632394334701536)/(26664207037927051)*a^(8) + (11083566321062400350)/(26664207037927051)*a^(6) + (60668636108099782754)/(79992621113781153)*a^(4) + (28995183530574594274)/(79992621113781153)*a^(2) - (161717682363062839)/(26664207037927051) , (687283532387287)/(186649449265489357)*a^(21) + (15373321530961824)/(186649449265489357)*a^(19) + (94406261979687285)/(186649449265489357)*a^(17) - (238365355000185048)/(186649449265489357)*a^(15) - (5228745604918291587)/(186649449265489357)*a^(13) - (22806047142651914342)/(186649449265489357)*a^(11) - (32890967482926544259)/(186649449265489357)*a^(9) + (35116623565534268409)/(186649449265489357)*a^(7) + (152633651426403302282)/(186649449265489357)*a^(5) + (123750432603445506000)/(186649449265489357)*a^(3) + (921679899927882234)/(186649449265489357)*a , (57827341716106)/(79992621113781153)*a^(20) + (904692942282182)/(79992621113781153)*a^(18) + (733407458825458)/(79992621113781153)*a^(16) - (15225892160427673)/(26664207037927051)*a^(14) - (67893478955354120)/(26664207037927051)*a^(12) + (47176592720912026)/(26664207037927051)*a^(10) + (2111007312290748874)/(79992621113781153)*a^(8) + (2103605968384572902)/(79992621113781153)*a^(6) - (4550428636939899094)/(79992621113781153)*a^(4) - (6654035719925859892)/(79992621113781153)*a^(2) - (399852550636235714)/(79992621113781153) , (23635741180322)/(79992621113781153)*a^(20) + (692129422187914)/(79992621113781153)*a^(18) + (1762486688354937)/(26664207037927051)*a^(16) - (4369515767272104)/(26664207037927051)*a^(14) - (100743223662925882)/(26664207037927051)*a^(12) - (329808099272795896)/(26664207037927051)*a^(10) + (282589284004375853)/(79992621113781153)*a^(8) + (4766352913941491314)/(79992621113781153)*a^(6) + (2090713612997291552)/(79992621113781153)*a^(4) - (4940220716135048630)/(79992621113781153)*a^(2) - (53576354831895641)/(26664207037927051) , (2161928145797381)/(186649449265489357)*a^(21) + (46052387318595689)/(186649449265489357)*a^(19) + (253299073824689772)/(186649449265489357)*a^(17) - (2751358983815098675)/(559948347796468071)*a^(15) - (45242970611211249836)/(559948347796468071)*a^(13) - (176705668441691224753)/(559948347796468071)*a^(11) - (212108119657986527639)/(559948347796468071)*a^(9) + (330598430131932407882)/(559948347796468071)*a^(7) + (1096276591100993237932)/(559948347796468071)*a^(5) + (796325477729004011641)/(559948347796468071)*a^(3) + (6623335299567195731)/(559948347796468071)*a , (91350393569861238331338350)/(559948347796468071)*a^(21) + (982257325213646317057484)/(79992621113781153)*a^(20) + (667918812319047520926224287)/(186649449265489357)*a^(19) + (20191485953280183170622106)/(79992621113781153)*a^(18) + (3910367192280808141278302460)/(186649449265489357)*a^(17) + (31305529523278907931863433)/(26664207037927051)*a^(16) - (35808015587420070963812010305)/(559948347796468071)*a^(15) - (618898939258549576349938687)/(79992621113781153)*a^(14) - (676332360657846880181064027265)/(559948347796468071)*a^(13) - (7176760464204263439136330124)/(79992621113781153)*a^(12) - (2775303075464796637202327904329)/(559948347796468071)*a^(11) - (19638006981145369972904122234)/(79992621113781153)*a^(10) - (3465818940393586287015671710751)/(559948347796468071)*a^(9) + (7621083283652761642113755491)/(26664207037927051)*a^(8) + (5689394624481876461996812927225)/(559948347796468071)*a^(7) + (74817708985431224174171694165)/(26664207037927051)*a^(6) + (19535132703776337237682176124714)/(559948347796468071)*a^(5) + (143189618404228576574271871395)/(26664207037927051)*a^(4) + (14783913713462086221063802859243)/(559948347796468071)*a^(3) + (277888771579407016292757487040)/(79992621113781153)*a^(2) + (270643200002179776192714537697)/(559948347796468071)*a + (5065991182428479088720738176)/(79992621113781153) , (3407828448113134388562214221608122612505109528232703)/(186649449265489357)*a^(21) + (649243246060641183019555968174102579439810918945553)/(26664207037927051)*a^(20) + (243099215062043012245251991064914284089905246675317371)/(559948347796468071)*a^(19) + (46314104687125084795519774116906307476206438266717381)/(79992621113781153)*a^(18) + (587135561584301231446574357739586164537547034610544025)/(186649449265489357)*a^(17) + (335574812832809198235110635012394493662683944075010978)/(79992621113781153)*a^(16) - (250750262720116422214520699304687651944990439608144991)/(186649449265489357)*a^(15) - (143315237545868039094085701335716735873482768115243220)/(79992621113781153)*a^(14) - (25674115031119961857286994361380393824263263905669564597)/(186649449265489357)*a^(13) - (14673930366214180898119415048651934057685890998061824035)/(79992621113781153)*a^(12) - (150874881870689331709819696726386502485290935202117446410)/(186649449265489357)*a^(11) - (86231891845064666278007497076230596575543257887124201232)/(79992621113781153)*a^(10) - (408274467981502649981020576114482617856116324133836252756)/(186649449265489357)*a^(9) - (233347521665379513952453093203455607360593637151837007563)/(79992621113781153)*a^(8) - (1635918981290779310521308341507541472789194224205662212207)/(559948347796468071)*a^(7) - (311667493207739829961290407234291934961804217607315817639)/(79992621113781153)*a^(6) - (289713609993921458371500050360310450128580478029683913684)/(186649449265489357)*a^(5) - (55194857207247465647620241698579957203932122160667482628)/(26664207037927051)*a^(4) - (738369088715717653540607221175949201650668909212630943)/(559948347796468071)*a^(3) - (46890187426546911224244785011872247720386620231891646)/(26664207037927051)*a^(2) + (93889773461511164657492929078540856466045099971172511)/(186649449265489357)*a + (53662297462010681758634427181140191304283656183510506)/(79992621113781153) , (174310856335840342493005480739599908564129210272826987243043)/(79992621113781153)*a^(21) - (151650863428873057816317446367179404850157849199124858983357)/(26664207037927051)*a^(20) + (5022232525384079858343069566243448795352244503979197873207205)/(79992621113781153)*a^(19) - (13107964773148667640893445797945823572662755529455189599384675)/(79992621113781153)*a^(18) + (56871247920884097671594094210797050943662255281561543509332181)/(79992621113781153)*a^(17) - (148431533177010596552797551489099715375522637760452890940033689)/(79992621113781153)*a^(16) + (321157175739238320322878131624152838780576406459472945737339281)/(79992621113781153)*a^(15) - (838190426449154261877502803807032663611531717170483302537489221)/(79992621113781153)*a^(14) + (897189504412295407366167462900176368795754440656659708780829511)/(79992621113781153)*a^(13) - (2341489436071639069259525568191324607724240494010571823800697818)/(79992621113781153)*a^(12) + (729422505588753476065143648453170056618450744397046005863368401)/(79992621113781153)*a^(11) - (1903289014642231943244996490062645361837853403848037445898155711)/(79992621113781153)*a^(10) - (2190694217691889752279043922318233356610415730695478827373752218)/(79992621113781153)*a^(9) + (5718147657490363813162576967075349323890320926581917191068252312)/(79992621113781153)*a^(8) - (5675425797141827048690171138583032415511486532188010401247121398)/(79992621113781153)*a^(7) + (4937224720419177438586586636791471257447647214408885966371105360)/(26664207037927051)*a^(6) - (3869158344651621104254802611469326308538985631821836763618521295)/(79992621113781153)*a^(5) + (3365103369836516385865331573929747339239120870001223280341328480)/(26664207037927051)*a^(4) - (1570122291421986112840040339325003788382521890701088764962964)/(26664207037927051)*a^(3) + (10057476358056651772198875746489051087412006871888575047153342)/(79992621113781153)*a^(2) + (1237421738690536828214357769979623616940004110745368799851593)/(79992621113781153)*a - (3270533306786207817248714477156115092619561342442034020812746)/(79992621113781153) ], 1292783794150000, [[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]]]