/* 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^28 - 8*x^27 + 18*x^26 + 24*x^25 - 219*x^24 + 528*x^23 - 504*x^22 - 792*x^21 + 3822*x^20 - 3720*x^19 - 10236*x^18 + 29088*x^17 - 2226*x^16 - 73848*x^15 + 58836*x^14 + 105792*x^13 - 134013*x^12 - 121848*x^11 + 172362*x^10 + 170040*x^9 - 221931*x^8 - 132624*x^7 + 164988*x^6 + 144528*x^5 - 154173*x^4 - 76368*x^3 + 49938*x^2 + 79840*x - 48347, 28, 393, [4, 12], 2678658682623660056187071999014915161641189376, [2, 3], [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, a^16, a^17, a^18, a^19, a^20, a^21, a^22, a^23, a^24, a^25, 1/2*a^26 - 1/2*a^24 - 1/2*a^10 - 1/2*a^8 - 1/2*a^2 - 1/2, 1/967803461161241309262186297542431414315777165596660846612978044142234067068812892*a^27 - 68236512047937668761337319691716492080911807012646685017648572703339567215736629/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^26 - 156556326150591704671924344304338728400831254956881355540312738220192440052495389/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^25 + 112216121306848797688390069640306087393207248446982227371763383404937046956488595/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^24 + 16848877990699707977356359092032289852476416897438091851458373354107610045806601/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^23 + 26334799458264229554748029872171924579340229067657741348818054563895500978083104/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^22 + 29637461761895342263397756552667023318573651075199467209297423618284410344194629/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^21 - 13088226612535321385550308165824208365218564277666213915663442604639199354423371/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^20 - 76415787120427314147227217780500443071314655704849499156094731265554685895265189/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^19 - 58854139604425095306667493226421219806888110599030521241248647017150491620684607/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^18 - 34224343194037083216983062480612575570496375852651097270608467751816892029130849/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^17 + 40313061240944757489437525831287085799343378458417531202083194065900143835925873/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^16 - 18059142673290900687431469712473604982008916571806062707255863476937884833712093/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^15 - 11973816345160945574287493016328520493878889737612901066761288060565567975931441/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^14 + 16249141555241675017592194715753810202661146659836108151504034928025557030228241/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^13 - 29120637911678904342486623148190041654889106963332758030445801173879397546163546/80650288430103442438515524795202617859648097133055070551081503678519505589067741*a^12 - 99043601462440881807547931502244446066764052167528710432298967237755116095653659/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^11 + 23220878325732330225147489546085182006273660551264742850970629871648167474061049/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^10 + 44340975154410312052887808757813850132972041113428368831763464964714842509067805/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^9 - 57348414797999809218952228340173349212751582925068441838099417546886466513717127/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^8 - 4867733700292120592991337046308032525438187500969572248057218868171864081818561/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^7 - 60992884791238059884169558431727512400076500231735953060991490617249257652399955/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^6 + 33543950729199320297596174335521637944543717288778233385451454632092779554559111/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^5 - 61149592057849961327487220548900211904284829839224919966593785431020515403410529/161300576860206884877031049590405235719296194266110141102163007357039011178135482*a^4 + 151558748839444123168098309877468283529616934302159579713717847062677833371066915/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^3 - 148888310252250897731009865539697465740421211618261535832938564825581141540425465/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a^2 + 86436796398481681016322088900890468344969738030827556175937399843699472748611699/322601153720413769754062099180810471438592388532220282204326014714078022356270964*a - 60549777086583848384135783251610263688467057386646469724707709894304010180191175/967803461161241309262186297542431414315777165596660846612978044142234067068812892], 0, 1, [], 1, [ -(88775854241022540616732914815259337473423082813497212453787263669055486755525)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(27) + (649115425822834802322468798791887626660340783432800570110914222576212934908865)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(26) - (1142539198287160413686928261884348751299734467705022942276266702660780939908401)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(25) - (2974543917511339605546424490579236573670482454640477710071802675665494996371431)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(24) + (8734239766130671024876016445020510553236824445025493428491683246384447892253900)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(23) - (17257647770691047783782622798130270271895101262735536859303331851027780452328970)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(22) + (9742689631118483629832525544136869101656605112920517051829733989247171427812677)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(21) + (43108219451514321302325038594001879881889349337716453947963459853953812340208546)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(20) - (140169298015612657027854577920619720914148926051500680282119388981667156594033719)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(19) + (64029278121274816450766229423663726049559570180338960419571541277051829480138681)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(18) + (510244186674086581335664761517257436105268435928756633886422581189043502337846683)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(17) - (940504869827668207436180695966668990897411475597405562646352611780629909379015157)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(16) - (597658783519079981566869704775160767943703645457913449220581699657947032522861042)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(15) + (2932984057675350941203929993190471768243119556368268812792788107047945231088542772)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(14) - (507540235059502871457947843835743660578170540383130899865292714272364595508880298)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(13) - (5280742414855254235217074140760972059047914282763252580406227057636886167858621897)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(12) + (4564153384767577317472357172241359592333542542509964802937445275932471890001886371)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(11) + (14830446845019237030494593036743851744806227655858222731111218762414523932999207963)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(10) - (5243406954347825567069637638597045958197281237454508285586791753256413378556453465)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(9) - (19826060402463869684650843786549733058442343611725956848768928023489257842328963157)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(8) + (3068933550929776960464420100921508623737291621664127448378402484571094424356938222)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(7) + (8632106230906854695582835799648846165659089162023989981692517092633174196092285852)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(6) - (1453440677265736048783073456998784950996614771866737204094396115797434555523888669)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(5) - (7838073188955165822238445200607232358333399381574336655683394328615989533546254266)/(80650288430103442438515524795202617859648097133055070551081503678519505589067741)*a^(4) + (3002350153084922696751622028689545881127473445236324293763372026317543755523668997)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(3) + (9446127045856430795307786723899747179959818892266616336912395344709572569272573811)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a^(2) + (2179279630648196532825498028343133264697120586657706017237118414175420995337828259)/(161300576860206884877031049590405235719296194266110141102163007357039011178135482)*a - 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