/* 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^26 - x^25 + 2*x^24 + 48*x^23 - 41*x^22 + 75*x^21 + 827*x^20 - 597*x^19 + 990*x^18 + 6414*x^17 - 3755*x^16 + 5397*x^15 + 23537*x^14 - 10353*x^13 + 15676*x^12 + 35758*x^11 - 6997*x^10 + 39165*x^9 + 14468*x^8 + 8338*x^7 + 43270*x^6 - 25107*x^5 + 25775*x^4 - 10788*x^3 - 8746*x^2 + 10048*x + 4289, 26, 1, [0, 13], -275852727404510985186163978883510976421015681999, [79], [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, 1/23*a^17 - 7/23*a^15 - 8/23*a^14 - 2/23*a^13 - 10/23*a^12 - 2/23*a^11 - 9/23*a^10 - 1/23*a^9 + 5/23*a^8 - 2/23*a^7 + 9/23*a^6 - 4/23*a^5 + 4/23*a^4 - 4/23*a^2 - 6/23*a - 10/23, 1/23*a^18 - 7/23*a^16 - 8/23*a^15 - 2/23*a^14 - 10/23*a^13 - 2/23*a^12 - 9/23*a^11 - 1/23*a^10 + 5/23*a^9 - 2/23*a^8 + 9/23*a^7 - 4/23*a^6 + 4/23*a^5 - 4/23*a^3 - 6/23*a^2 - 10/23*a, 1/23*a^19 - 8/23*a^16 - 5/23*a^15 + 3/23*a^14 + 7/23*a^13 - 10/23*a^12 + 8/23*a^11 + 11/23*a^10 - 9/23*a^9 - 2/23*a^8 + 5/23*a^7 - 2/23*a^6 - 5/23*a^5 + 1/23*a^4 - 6/23*a^3 + 8/23*a^2 + 4/23*a - 1/23, 1/23*a^20 - 5/23*a^16 - 7/23*a^15 - 11/23*a^14 - 3/23*a^13 - 3/23*a^12 - 5/23*a^11 + 11/23*a^10 - 10/23*a^9 - 1/23*a^8 + 5/23*a^7 - 2/23*a^6 - 8/23*a^5 + 3/23*a^4 + 8/23*a^3 - 5/23*a^2 - 3/23*a - 11/23, 1/23*a^21 - 7/23*a^16 + 3/23*a^14 + 10/23*a^13 - 9/23*a^12 + 1/23*a^11 - 9/23*a^10 - 6/23*a^9 + 7/23*a^8 + 11/23*a^7 - 9/23*a^6 + 6/23*a^5 + 5/23*a^4 - 5/23*a^3 + 5/23*a - 4/23, 1/23*a^22 - 1/23, 1/23*a^23 - 1/23*a, 1/529*a^24 - 3/529*a^23 - 8/529*a^22 - 3/529*a^21 + 1/529*a^20 + 6/529*a^19 - 6/529*a^18 + 9/529*a^17 + 217/529*a^16 + 201/529*a^15 - 246/529*a^14 - 202/529*a^13 + 70/529*a^12 + 99/529*a^11 + 190/529*a^10 + 260/529*a^9 + 2/23*a^8 + 206/529*a^7 - 250/529*a^6 - 93/529*a^5 - 177/529*a^4 - 242/529*a^3 + 19/529*a^2 + 199/529*a + 235/529, 1/36432810425294767351714415418299842796503405351772669*a^25 - 17839857856621827873061919016957308631878955352041/36432810425294767351714415418299842796503405351772669*a^24 + 440145998647082491741624978150882103033417228436444/36432810425294767351714415418299842796503405351772669*a^23 - 7129346072081157614126464182607660028638853592258/36432810425294767351714415418299842796503405351772669*a^22 - 633417308567108127494434948438699468463256059499958/36432810425294767351714415418299842796503405351772669*a^21 - 427112901546216272995042014816696727630945672693889/36432810425294767351714415418299842796503405351772669*a^20 + 447798965901514624635926441593782881627315954212004/36432810425294767351714415418299842796503405351772669*a^19 - 439394605514417214247918863342591219200972610033569/36432810425294767351714415418299842796503405351772669*a^18 + 491109329063796105314881888138274513552389182356292/36432810425294767351714415418299842796503405351772669*a^17 + 8724560591415570329195561717309076957811567098896631/36432810425294767351714415418299842796503405351772669*a^16 + 7071518812524006663579908388735472057691166638022678/36432810425294767351714415418299842796503405351772669*a^15 - 7339095751398517139537744989791783804973113754123829/36432810425294767351714415418299842796503405351772669*a^14 - 9292828366718200822278380328065407988290083669738782/36432810425294767351714415418299842796503405351772669*a^13 + 16907556580108194542622990709052254475173712866041237/36432810425294767351714415418299842796503405351772669*a^12 + 15450502886024479287848744756723832895361767226614390/36432810425294767351714415418299842796503405351772669*a^11 + 9215466889122503292219423966592992253708970192713592/36432810425294767351714415418299842796503405351772669*a^10 - 60603329868202371124991734801813227732741566021967/201286245443617499180742626620441120422670747799849*a^9 + 11795635643733095308586680141355747676319555391573418/36432810425294767351714415418299842796503405351772669*a^8 - 10219699546671010514304307820280883967793345974041303/36432810425294767351714415418299842796503405351772669*a^7 + 9119792296009641541272570166263836823925601506926547/36432810425294767351714415418299842796503405351772669*a^6 - 4449323217715615151074512330648758920635445866560267/36432810425294767351714415418299842796503405351772669*a^5 - 1105232197434425023488823310473678647973298608928299/36432810425294767351714415418299842796503405351772669*a^4 + 16138364221509949153371248887137094214361821414353125/36432810425294767351714415418299842796503405351772669*a^3 - 2111627529911607880355394610566290018377151170188012/36432810425294767351714415418299842796503405351772669*a^2 + 9406461793776214260150072643657474835663067760117159/36432810425294767351714415418299842796503405351772669*a + 2014414019775677796445492827843631830157997776164/8494476667123983994337704690673780087783493903421], 1, 265, [265], 1, [ (3689262213955079668248693752871046378079590821275)/(36432810425294767351714415418299842796503405351772669)*a^(25) - (1429630043482479806858571838153791698333553908483)/(36432810425294767351714415418299842796503405351772669)*a^(24) + (6353011578356040064120363949110971795421274597550)/(36432810425294767351714415418299842796503405351772669)*a^(23) + (179948230735806855571212432147364259454174526565703)/(36432810425294767351714415418299842796503405351772669)*a^(22) - (41097579255692834373324643502987114806329300792723)/(36432810425294767351714415418299842796503405351772669)*a^(21) + (244631650900361979439233553704745473503548332750909)/(36432810425294767351714415418299842796503405351772669)*a^(20) + (3145821026370335963768491023524374558004704931373356)/(36432810425294767351714415418299842796503405351772669)*a^(19) - (12085493356259424239680516029109510781753602677781)/(1584035235882381189204974583404340991152321971816203)*a^(18) + (3383661229657368099427969749899916594731562396622411)/(36432810425294767351714415418299842796503405351772669)*a^(17) + (24671803101114759639444499921803610267253450853892390)/(36432810425294767351714415418299842796503405351772669)*a^(16) + (1236401888275918649228969066101746766152449122692325)/(36432810425294767351714415418299842796503405351772669)*a^(15) + (20238819191318915932135400476098591557625529096039217)/(36432810425294767351714415418299842796503405351772669)*a^(14) + (89919215397313530002735334247178135393917190889492389)/(36432810425294767351714415418299842796503405351772669)*a^(13) + (16697725641912092708274163324863945043775552451929896)/(36432810425294767351714415418299842796503405351772669)*a^(12) + (68996381680564255317270248602180785000860086692717557)/(36432810425294767351714415418299842796503405351772669)*a^(11) + (136729019454697378726753271869609773551369891330215150)/(36432810425294767351714415418299842796503405351772669)*a^(10) + (287868855937996693553589494277099446451665849517835)/(201286245443617499180742626620441120422670747799849)*a^(9) + (185026722547505633603375249628202391704000050427689044)/(36432810425294767351714415418299842796503405351772669)*a^(8) + (106239551060449544151271911860720187886044028892861688)/(36432810425294767351714415418299842796503405351772669)*a^(7) + (53517687334099936458553433154150856103534979169112686)/(36432810425294767351714415418299842796503405351772669)*a^(6) + (187151347782621310616227774362114036260069669231554653)/(36432810425294767351714415418299842796503405351772669)*a^(5) - (6875226314844823463438792565242981757984939791127331)/(36432810425294767351714415418299842796503405351772669)*a^(4) + (29653055418318509217836114929691549634680592065876129)/(36432810425294767351714415418299842796503405351772669)*a^(3) - (42448891751298112746859809407998890814964937104466295)/(36432810425294767351714415418299842796503405351772669)*a^(2) - (72069646794174672232167535237583689155831798901366636)/(36432810425294767351714415418299842796503405351772669)*a + (18894528072473281306337435970353083969736026640612)/(8494476667123983994337704690673780087783493903421) , (2562939912017697241543435873237280533695649065172)/(36432810425294767351714415418299842796503405351772669)*a^(25) - (3830692978910294790290363288734223703101743909709)/(36432810425294767351714415418299842796503405351772669)*a^(24) + (6494112217030283872943501186173060119897052449585)/(36432810425294767351714415418299842796503405351772669)*a^(23) + (122946741067665280542352692460000468399564044707322)/(36432810425294767351714415418299842796503405351772669)*a^(22) - (167404768234380455906578579112113357337754936793409)/(36432810425294767351714415418299842796503405351772669)*a^(21) + (250097295138884457774951065977734576571252459198318)/(36432810425294767351714415418299842796503405351772669)*a^(20) + (2146141595445799477475336281123665686513483918478972)/(36432810425294767351714415418299842796503405351772669)*a^(19) - (2636054139877585383131231213853167057507069878234797)/(36432810425294767351714415418299842796503405351772669)*a^(18) + (3380674392409956171471200663768507952943848671908540)/(36432810425294767351714415418299842796503405351772669)*a^(17) + (17335926688822159598381974939367306032212875005677619)/(36432810425294767351714415418299842796503405351772669)*a^(16) - (18521931180746087818799897346925730288720535168300189)/(36432810425294767351714415418299842796503405351772669)*a^(15) + (18646298667498482164779309225047919315128262397245124)/(36432810425294767351714415418299842796503405351772669)*a^(14) + (70486649417432109244983447572877398833551407013077171)/(36432810425294767351714415418299842796503405351772669)*a^(13) - (60184809741421796564386884917514972652222811591712522)/(36432810425294767351714415418299842796503405351772669)*a^(12) + (46713621952056993501964746714795082194275430502495473)/(36432810425294767351714415418299842796503405351772669)*a^(11) + (132789826218758567614858448417591574673411947826532520)/(36432810425294767351714415418299842796503405351772669)*a^(10) - (361220975660220010754337072092652903464861889674059)/(201286245443617499180742626620441120422670747799849)*a^(9) + (78401501484346599250532952934386069064971062492306789)/(36432810425294767351714415418299842796503405351772669)*a^(8) + (64722442744468833858361130747708388463624663437552013)/(36432810425294767351714415418299842796503405351772669)*a^(7) + (26745536127491070554444739543954623432821720027591511)/(36432810425294767351714415418299842796503405351772669)*a^(6) + (111959482900522351171629030714673628693664866034370727)/(36432810425294767351714415418299842796503405351772669)*a^(5) - (122743159068398463106497329208482995566066965897067088)/(36432810425294767351714415418299842796503405351772669)*a^(4) + (69388351422010148064301802682377051210373685674439682)/(36432810425294767351714415418299842796503405351772669)*a^(3) + (19677848096481762519739217686063084794632320523522382)/(36432810425294767351714415418299842796503405351772669)*a^(2) - (62433858364498393292176912083210764381876783639041368)/(36432810425294767351714415418299842796503405351772669)*a - (12318049160047924877577163329235361130232815298266)/(8494476667123983994337704690673780087783493903421) , (831347904423413782262516220266824133094991582846)/(1584035235882381189204974583404340991152321971816203)*a^(25) - (18827685658541574488090711237323642745474420578283)/(36432810425294767351714415418299842796503405351772669)*a^(24) + (35549682823794289082752862087055007166405273515412)/(36432810425294767351714415418299842796503405351772669)*a^(23) + (923719487329078694633747088982325742303033821966753)/(36432810425294767351714415418299842796503405351772669)*a^(22) - (779020828640104740615134883542973503953205460743316)/(36432810425294767351714415418299842796503405351772669)*a^(21) + (1314076714335861792181936882100315571138300057991746)/(36432810425294767351714415418299842796503405351772669)*a^(20) + (16069356051072482138001449178016760793933433135825266)/(36432810425294767351714415418299842796503405351772669)*a^(19) - (11535166636876899526204867918425528896842621201984702)/(36432810425294767351714415418299842796503405351772669)*a^(18) + (17031886100980419482480624826530801170558494685921029)/(36432810425294767351714415418299842796503405351772669)*a^(17) + (126610779162612516323783822456897193939988161166312674)/(36432810425294767351714415418299842796503405351772669)*a^(16) - (74991181972672019807916489704142143460645280661086685)/(36432810425294767351714415418299842796503405351772669)*a^(15) + (89903977276349123610203411071170083309060471984441521)/(36432810425294767351714415418299842796503405351772669)*a^(14) + (477117143570698443784840903814240277260901638582829419)/(36432810425294767351714415418299842796503405351772669)*a^(13) - (221058673706362230386580217314048582946352618495519400)/(36432810425294767351714415418299842796503405351772669)*a^(12) + (254697703335028194919418358404824430076533295676652845)/(36432810425294767351714415418299842796503405351772669)*a^(11) + (770175666593409167377846431948991702092045481202289271)/(36432810425294767351714415418299842796503405351772669)*a^(10) - (1154799651332300088383966746340710613372113268417606)/(201286245443617499180742626620441120422670747799849)*a^(9) + (30075038212909624107011351260094123363252992221988421)/(1584035235882381189204974583404340991152321971816203)*a^(8) + (381465817440506403728503004620547901674933792510276115)/(36432810425294767351714415418299842796503405351772669)*a^(7) + (21631077164134226484784166279194365493258905604957230)/(36432810425294767351714415418299842796503405351772669)*a^(6) + (884593995532350408794887444795416592823924372635780394)/(36432810425294767351714415418299842796503405351772669)*a^(5) - (499235808137390571410296869447618627585865687634572796)/(36432810425294767351714415418299842796503405351772669)*a^(4) + (345279201281426889832940984756457575661636215201993843)/(36432810425294767351714415418299842796503405351772669)*a^(3) + (1238833275138287045297512182441137858587490550471732)/(36432810425294767351714415418299842796503405351772669)*a^(2) - (406483398846264190238993340378219185057168557706494703)/(36432810425294767351714415418299842796503405351772669)*a + (75298489709028966178583618856554142254815706355708)/(8494476667123983994337704690673780087783493903421) , (263327974999391643290820606615372514613568904488)/(36432810425294767351714415418299842796503405351772669)*a^(25) + (5641229354648862453161020022135417865972548796043)/(36432810425294767351714415418299842796503405351772669)*a^(24) - 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