/* 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^24 - x^23 + 26*x^22 + 4324*x^21 - 36164*x^20 + 228200*x^19 + 2423260*x^18 - 52795400*x^17 + 12191610*x^16 + 389603410*x^15 - 24980880090*x^14 - 95001237860*x^13 + 564886906010*x^12 + 3257072992890*x^11 - 325999515690*x^10 - 80289385905850*x^9 - 575516846950175*x^8 - 2178231732896650*x^7 - 5203181801343800*x^6 - 10323209578181600*x^5 - 12074325776481600*x^4 - 14251912534362400*x^3 - 7970914560545600*x^2 - 7242594366566400*x - 526693993977600, 24, 1353, [4, 10], 77516311234764156989663655746389565161872035940177738666534423828125, [5, 109], [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^13 + 2/5*a^11 - 2/5*a^10, 1/545*a^14 + 31/545*a^13 + 34/545*a^12 + 69/545*a^11 + 25/109*a^10 - 33/109*a^9 + 23/109*a^8 - 33/109*a^7 + 42/109*a^6 - 4/109*a^5 + 38/109*a^4 + 3/109*a^3 + 12/109*a^2 - 43/109*a + 3/109, 1/545*a^15 + 54/545*a^13 - 4/545*a^12 - 54/109*a^11 - 116/545*a^10 - 44/109*a^9 + 17/109*a^8 - 25/109*a^7 + 2/109*a^6 + 53/109*a^5 + 24/109*a^4 + 28/109*a^3 + 21/109*a^2 + 28/109*a + 16/109, 1/545*a^16 - 43/545*a^13 - 7/109*a^12 - 49/109*a^11 + 6/545*a^10 - 54/109*a^9 + 41/109*a^8 + 40/109*a^7 - 35/109*a^6 + 22/109*a^5 + 47/109*a^4 - 32/109*a^3 + 34/109*a^2 + 49/109*a - 53/109, 1/3270*a^17 - 1/3270*a^16 + 1/1635*a^14 + 34/545*a^13 + 23/327*a^12 - 611/1635*a^11 - 253/545*a^10 - 41/327*a^9 - 28/327*a^8 - 17/327*a^7 - 62/327*a^6 - 44/109*a^5 - 2/327*a^4 - 21/109*a^3 - 104/327*a^2 + 143/654*a - 5/109, 1/6540*a^18 - 1/6540*a^17 - 1/1090*a^16 - 1/1635*a^15 + 19/327*a^13 - 19/1635*a^12 + 266/545*a^11 + 1109/3270*a^10 + 35/654*a^9 + 79/654*a^8 + 158/327*a^7 + 87/218*a^6 + 181/654*a^5 + 33/218*a^4 - 71/654*a^3 - 19/1308*a^2 - 37/218*a + 22/109, 1/13080*a^19 - 1/13080*a^18 - 1/6540*a^17 - 1/1635*a^16 - 1/1090*a^15 - 1/1635*a^14 - 103/3270*a^13 + 29/327*a^12 - 317/2180*a^11 - 151/1308*a^10 - 481/1308*a^9 + 21/218*a^8 + 337/1308*a^7 - 547/1308*a^6 - 203/436*a^5 - 553/1308*a^4 - 739/2616*a^3 - 413/1308*a^2 + 131/654*a - 8/109, 1/26160*a^20 - 1/26160*a^19 - 1/13080*a^18 + 1/6540*a^16 - 1/3270*a^15 + 1/2180*a^14 - 161/3270*a^13 + 1253/13080*a^12 - 349/4360*a^11 + 1399/13080*a^10 + 133/1308*a^9 - 1243/2616*a^8 + 913/2616*a^7 - 805/2616*a^6 - 853/2616*a^5 + 55/1744*a^4 + 619/2616*a^3 - 55/436*a^2 + 35/654*a - 6/109, 1/261600*a^21 + 1/87200*a^20 - 1/130800*a^19 - 1/65400*a^18 + 1/13080*a^17 - 1/1308*a^16 - 1/2616*a^15 + 1/6540*a^14 - 141/8720*a^13 + 233/26160*a^12 + 413/1744*a^11 - 1751/13080*a^10 - 3557/8720*a^9 + 1111/8720*a^8 - 1697/5232*a^7 + 1207/5232*a^6 + 1441/10464*a^5 + 1045/5232*a^4 + 467/1308*a^3 - 19/1308*a^2 - 2/327*a - 5/109, 1/523200*a^22 - 1/523200*a^21 + 1/87200*a^20 - 1/32700*a^19 - 1/130800*a^18 + 1/13080*a^17 - 1/26160*a^16 - 1/2616*a^15 + 11/17440*a^14 + 519/17440*a^13 - 4061/52320*a^12 + 967/8720*a^11 + 1681/10464*a^10 - 541/17440*a^9 - 233/480*a^8 - 2833/10464*a^7 + 2369/20928*a^6 - 3137/10464*a^5 - 695/5232*a^4 + 169/654*a^3 + 197/436*a^2 + 16/327*a - 30/109, 1/269230327640944907640352688901907039903993417284568991599875027390388018619525101497816695481811186860652027253218258974000471731117806648057986641335820793366788034588734947200*a^23 - 141825724158607944087897188350324066434970677030718808153147617588848738586063002100170015815407234471869057891728897108711732224457376665477295896087548039883970117062603/269230327640944907640352688901907039903993417284568991599875027390388018619525101497816695481811186860652027253218258974000471731117806648057986641335820793366788034588734947200*a^22 - 16426713285822918909502508117115209252162894028585647807806389802141971127633174587123230414362586025531305731235057426186399496008539824149659593806064252257203536706339/33653790955118113455044086112738379987999177160571123949984378423798502327440637687227086935226398357581503406652282371750058966389725831007248330166977599170848504323591868400*a^21 + 348503232381320597827863015610421137409968540868463197397045413804042015757356887215240253299402064001804154831109202315888168976003886476416404991933644233161477411610491/22435860636745408970029390741825586658666118107047415966656252282532334884960425124818057956817598905054335604434854914500039310926483887338165553444651732780565669549061245600*a^20 + 2385854514774715803870248871187661437998472433746748476691142380314131056808142570076315318283977751815080212281679587402351393693898173364946254219573087665947871968878817/67307581910236226910088172225476759975998354321142247899968756847597004654881275374454173870452796715163006813304564743500117932779451662014496660333955198341697008647183736800*a^19 + 193359899405019908149442465262560613496329202689876267042133160242029111995766089070440554118940480280725149946137826145486605512455560484992032440190815405810890118687477/4206723869389764181880510764092297498499897145071390493748047302974812790930079710903385866903299794697687925831535296468757370798715728875906041270872199896356063040448983550*a^18 + 1007392043190705085226784113613682148877042632035610305428377582584420400083189563443426123442686132124531859375070767287795403075123530642379207879386335390397328046429347/13461516382047245382017634445095351995199670864228449579993751369519400930976255074890834774090559343032601362660912948700023586555890332402899332066791039668339401729436747360*a^17 - 54593033738128094454988906535250696992839173510223576006823811132101427661060944775859773618447240266969846265509017281343010646519374278046701918783790773876606500761879/560896515918635224250734768545639666466652952676185399166406307063308372124010628120451448920439972626358390110871372862500982773162097183454138836116293319514141738726531140*a^16 + 147831920191934111683878227717283170484606476532845264732227195438858326269980655506778794665792634848391805238994998125908750691861846677621743202709980441014436084239827/8974344254698163588011756296730234663466447242818966386662500913012933953984170049927223182727039562021734241773941965800015724370593554935266221377860693112226267819624498240*a^15 + 106886517275706718951902053624831748000505296730014854958175025423787662940640872274964843969938011621583982584126844449400985847497820354328387678992209664957720692009257/401836309911858071105004013286428417767154354156073121790858249836400027790335972384801038032554010239779145154057102946269360792713144250832815882590777303532519454610052160*a^14 + 86934819680640257954150558505366053054802816221055400432335697509909444538077290754832741390324260208389851837966958028109859699320636995638577149139326795919435358500958261/5384606552818898152807053778038140798079868345691379831997500547807760372390502029956333909636223737213040545064365179480009434622356132961159732826716415867335760691774698944*a^13 - 215052194922796101609776964458287195875605903763860736739785597235839218150748219188844521658744079681818598094438491756689655287506205831123110719979673118778127822987966797/6730758191023622691008817222547675997599835432114224789996875684759700465488127537445417387045279671516300681330456474350011793277945166201449666033395519834169700864718373680*a^12 + 841370748159414653530897029944048998093461267730505060046592342787805158175714743294648958978447875129671473328494888446303422362647772649286013346160175510496910984560612141/5384606552818898152807053778038140798079868345691379831997500547807760372390502029956333909636223737213040545064365179480009434622356132961159732826716415867335760691774698944*a^11 + 1201297518162807883468549185392632019705116043294807942046226790671099859364817553502621921991466946728958233054572530022920500711470584592386515624701590353768729111388499859/5384606552818898152807053778038140798079868345691379831997500547807760372390502029956333909636223737213040545064365179480009434622356132961159732826716415867335760691774698944*a^10 + 6730106427955247227804391790276800062852479977935169676595783844200551472111426567152289056445864217001983072430282404182862462385476715099294038845005430962368812522879296409/26923032764094490764035268890190703990399341728456899159987502739038801861952510149781669548181118686065202725321825897400047173111780664805798664133582079336678803458873494720*a^9 - 7829317615173061877837903304482108438626552484968753905432608502716447278542125300325323630068576478514853216436078272301798267284618427025176428456277501192984081119690063651/26923032764094490764035268890190703990399341728456899159987502739038801861952510149781669548181118686065202725321825897400047173111780664805798664133582079336678803458873494720*a^8 - 3513155085620061247997688199262275694710358582182048003763554895368895728344236219201996847437020365887201495763796356476474381598076785932049612009713031500488399578080439179/10769213105637796305614107556076281596159736691382759663995001095615520744781004059912667819272447474426081090128730358960018869244712265922319465653432831734671521383549397888*a^7 - 2514702131410584293382976825982769502795285509202612280198861786957215276336087021807632974487951543165280551953909103458134173670707906423358328853014562310578409275166721/897434425469816358801175629673023466346644724281896638666250091301293395398417004992722318272703956202173424177394196580001572437059355493526622137786069311222626781962449824*a^6 + 73648663281110989537766663836994619676451785844393795963903974096741372161397090866436919169611391019003318841249437477000902297363737890698100044067123573930344198796687171/168268954775590567275220430563691899939995885802855619749921892118992511637203188436135434676131991787907517033261411858750294831948629155036241650834887995854242521617959342*a^5 + 321969118064598452378856447983123858578137121806804467558541100311530819625261429342446646138825641423468921250371705532546177016628692877462484341275821484928760656099091731/673075819102362269100881722254767599759983543211422478999687568475970046548812753744541738704527967151630068133045647435001179327794516620144966603339551983416970086471837368*a^4 + 47090079716967840329200261201288201665170709131968376089806778538310392401365658790372272518099074447199897632447672144060192819832269549611760743002426539378625790348990273/168268954775590567275220430563691899939995885802855619749921892118992511637203188436135434676131991787907517033261411858750294831948629155036241650834887995854242521617959342*a^3 + 71339377220515362673878803751447034644283876139580374666088468970472986310441501820851050841779980298767610063031590637143357356137044525157849019945118764925181209767874/418579489491518824067712513840029601840785785579242835198810676912916695614933304567501081283910427333103276202142815569030584159076191927950849877698726357846374431885471*a^2 - 1323146108337409428163808189904317621017552802196985711077328066297659273578905122458719347640684833942938886904574537977854738147522396253665493599969512897473274019376501/56089651591863522425073476854563966646665295267618539916640630706330837212401062812045144892043997262635839011087137286250098277316209718345413883611629331951414173872653114*a - 7384543157170664710370660074855299955109079316254559030064564834500032591074877792452789864200013706006834521765265723984080274576191205184768289638446070604675170572590315/28044825795931761212536738427281983323332647633809269958320315353165418606200531406022572446021998631317919505543568643125049138658104859172706941805814665975707086936326557], 0, 0,0,0,0,0, [[x^6 - 2*x^5 + 45*x^4 - 300*x^3 - 105*x^2 - 3124*x + 3788, 1], [x^12 - 5*x^11 + 24*x^10 - 860*x^9 - 8270*x^8 + 83805*x^7 + 710315*x^6 - 4502690*x^5 - 7395625*x^4 + 29122225*x^3 + 61248605*x^2 - 18023325*x - 46008855, 1]]]