/* 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^15 - 6*x^14 - 35*x^13 + 155*x^12 + 90*x^11 - 2999*x^10 - 6401*x^9 + 63495*x^8 - 44745*x^7 + 79390*x^6 + 4121184*x^5 + 1379896*x^4 + 1819820*x^3 + 92482920*x^2 + 167327200*x + 68779600, 15, 103, [7, 4], 239350355667544208264100000000000000, [2, 3, 5, 7, 11], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, 1/3*a^9 + 1/3*a^7 - 1/3*a^4 + 1/3*a + 1/3, 1/6*a^10 + 1/6*a^8 - 1/2*a^7 - 1/6*a^5 - 1/2*a^4 - 1/2*a^3 + 1/6*a^2 - 1/3*a, 1/6*a^11 - 1/6*a^9 - 1/2*a^8 - 1/3*a^7 - 1/6*a^6 - 1/2*a^5 - 1/6*a^4 + 1/6*a^3 - 1/3*a^2 - 1/3*a - 1/3, 1/36*a^12 + 1/36*a^10 + 1/36*a^9 - 1/3*a^8 + 1/4*a^7 + 1/4*a^6 - 5/12*a^5 - 5/12*a^4 - 2/9*a^3 - 1/3*a^2 + 1/9*a - 2/9, 1/60480*a^13 - 253/30240*a^12 - 337/12096*a^11 - 761/12096*a^10 + 23/189*a^9 + 3299/6720*a^8 - 4447/20160*a^7 - 59/576*a^6 + 107/4032*a^5 + 733/1512*a^4 + 12767/30240*a^3 - 509/3780*a^2 - 19/378*a + 685/1512, 1/895389364447577710227261842002682290230991680*a^14 + 604856349929029418752383045991952658019/179077872889515542045452368400536458046198336*a^13 + 7437179505472649015104680342244054043920049/895389364447577710227261842002682290230991680*a^12 - 718235271944644260446109807544385006515027/29846312148252590340908728066756076341033056*a^11 + 627742132592292137638844223964572154932005/59692624296505180681817456133512152682066112*a^10 + 7520936454268963911445637165270752105987531/895389364447577710227261842002682290230991680*a^9 + 7134790340317669356449594363257441251796037/29846312148252590340908728066756076341033056*a^8 + 17521943236343547139038018497603440256966981/37307890185315737926135910083445095426291320*a^7 - 4714404846574684865340423897264000306688631/9948770716084196780302909355585358780344352*a^6 + 86291150846181931165648064951393547574050209/179077872889515542045452368400536458046198336*a^5 - 8653838277279219723160272357439653965437379/63956383174826979301947274428763020730785120*a^4 + 23707247837794467505319614672401247134864899/89538936444757771022726184200268229023099168*a^3 + 76875918247005247262095628757589395159049/296094366550124904175681826059088058938820*a^2 - 613609508325202871123944451673328326161327/2487192679021049195075727338896339695086088*a - 4639258368554048273697199932592849858337891/22384734111189442755681546050067057255774792], 0, 1, [], 1, [ (46551200635561941701848994873803067251)/(59692624296505180681817456133512152682066112)*a^(14) - (517387302650519964575879601838616020669)/(99487707160841967803029093555853587803443520)*a^(13) - (2568238769934844090655850344956630835531)/(99487707160841967803029093555853587803443520)*a^(12) + (4701415862786051859052196528439433333997)/(29846312148252590340908728066756076341033056)*a^(11) - (1038119619290254726347636917808027572263)/(59692624296505180681817456133512152682066112)*a^(10) - (164218850331186621913918091256766527188911)/(59692624296505180681817456133512152682066112)*a^(9) - (126624426694804843758978952613505111790957)/(49743853580420983901514546777926793901721760)*a^(8) + (15728210578674145820512677593193523758589)/(296094366550124904175681826059088058938820)*a^(7) - (657066223706147626967285769122876074653239)/(9948770716084196780302909355585358780344352)*a^(6) - (1033999295162842045941907749356109805680137)/(59692624296505180681817456133512152682066112)*a^(5) + (12635225863665805043228773270453035287112953)/(3316256905361398926767636451861786260114784)*a^(4) - (141700385763986238950706749760845761904963773)/(49743853580420983901514546777926793901721760)*a^(3) + (23124779207509618085757714428167273280457443)/(18653945092657868963067955041722547713145660)*a^(2) + (632726783395849448808144965680493225141263327)/(7461578037063147585227182016689019085258264)*a + (52565042926751743098622203745349038204344997)/(1065939719580449655032454573812717012179752) , (108982932068418826581657926915377417159447)/(223847341111894427556815460500670572557747920)*a^(14) - (185243594540505050496688228674623586113255)/(44769468222378885511363092100134114511549584)*a^(13) - (1500300441787967172246360302583555405458137)/(223847341111894427556815460500670572557747920)*a^(12) + (229247804804133673788818221192110243714331)/(2487192679021049195075727338896339695086088)*a^(11) - (132310019070488504095611955165244432193581)/(710626479720299770021636382541811341453168)*a^(10) - (222315129325736623501636850824059195112856963)/(223847341111894427556815460500670572557747920)*a^(9) - (4763904867908633521742452088716057405776151)/(7461578037063147585227182016689019085258264)*a^(8) + (606075244965416246497354252163963308104169489)/(18653945092657868963067955041722547713145660)*a^(7) - (28458393732913203769028590922750556418879455)/(276354742113449910563969704321815521676232)*a^(6) + (13251434408117658891164175001871796057930379787)/(44769468222378885511363092100134114511549584)*a^(5) + (141563670245797208233322081375505365793858031549)/(111923670555947213778407730250335286278873960)*a^(4) - (55636812600294616259601641151170837585870306899)/(22384734111189442755681546050067057255774792)*a^(3) + (33096681696088145392602997882665712878109710979)/(4663486273164467240766988760430636928286415)*a^(2) + (50798710797404746096270473282181527242672716673)/(1865394509265786896306795504172254771314566)*a + (75478621575083944098698534988527360862719436265)/(5596183527797360688920386512516764313943698) , (16676288580841312317515601675271990517113)/(298463121482525903409087280667560763410330560)*a^(14) - (122167097258523307399977562266660212652311)/(298463121482525903409087280667560763410330560)*a^(13) - (400864588497882027639091943951873637349307)/(298463121482525903409087280667560763410330560)*a^(12) + (153093486296800534330648211146005198524659)/(14923156074126295170454364033378038170516528)*a^(11) - (669778941471362563442222676624668889151387)/(59692624296505180681817456133512152682066112)*a^(10) - (15262923924809404319157160613013508680263519)/(99487707160841967803029093555853587803443520)*a^(9) - (580507374659983818910238366090736953473369)/(3553132398601498850108181912709056707265840)*a^(8) + (179042466128612153414151268175688909029550373)/(49743853580420983901514546777926793901721760)*a^(7) - (40739461447268851554540355849116374733836533)/(4974385358042098390151454677792679390172176)*a^(6) + (129302422292964275510188085431834808557389389)/(8527517756643597240259636590501736097438016)*a^(5) + (29650860939693788996117495497194262689482672771)/(149231560741262951704543640333780381705165280)*a^(4) - (33399683211509986111374835132862449264086757387)/(149231560741262951704543640333780381705165280)*a^(3) + (7730329372773393002203947860642946997948363697)/(18653945092657868963067955041722547713145660)*a^(2) + (32599319446459094940386171937022015672629458185)/(7461578037063147585227182016689019085258264)*a + (6897948656963271137832457059700825674362262013)/(2487192679021049195075727338896339695086088) , (636274521661500016770930614177726603617)/(127912766349653958603894548857526041461570240)*a^(14) - (8434371570251792249099364792251483982515)/(179077872889515542045452368400536458046198336)*a^(13) - (189196368818773972818005109506826391952089)/(895389364447577710227261842002682290230991680)*a^(12) + (51174322097202394073545407150526906002167)/(29846312148252590340908728066756076341033056)*a^(11) + (323758629470093176912199756080638492564251)/(59692624296505180681817456133512152682066112)*a^(10) - (9900844220775496589105159732133357913078451)/(895389364447577710227261842002682290230991680)*a^(9) - (1458072522633152790359010166323994272087505)/(29846312148252590340908728066756076341033056)*a^(8) + (6510479211890109952496384569599841699106587)/(18653945092657868963067955041722547713145660)*a^(7) - (1390117221238481405518442111373129482812499)/(1421252959440599540043272765083622682906336)*a^(6) - (1112136434893341318598396834978859106846394657)/(179077872889515542045452368400536458046198336)*a^(5) + (2476672116593771623484625684857203710161230093)/(447694682223788855113630921001341145115495840)*a^(4) - (1642654451969764783729717437015312601252107283)/(89538936444757771022726184200268229023099168)*a^(3) - (1020357827236027001386214355345751459975852199)/(6217981697552622987689318347240849237715220)*a^(2) - (148166901119934369950370924657549269180128211)/(829064226340349731691909112965446565028696)*a - (1195642225898513017605908554603888622552467013)/(22384734111189442755681546050067057255774792) , (550594083564517039819950377921938869173)/(99487707160841967803029093555853587803443520)*a^(14) - (14915734364503059378197042217397811942261)/(298463121482525903409087280667560763410330560)*a^(13) - (15463559529984966227141571809902587458933)/(298463121482525903409087280667560763410330560)*a^(12) + (8205829107433612852642496100451093958647)/(7461578037063147585227182016689019085258264)*a^(11) - (157122894532044419570607078498669828239129)/(59692624296505180681817456133512152682066112)*a^(10) - (3233209500365580841260609425264444436064811)/(298463121482525903409087280667560763410330560)*a^(9) - (14884409714044242647614517034577733036483)/(4145321131701748658459545564827232825143480)*a^(8) + (18708279565164650488625561878588658937841657)/(49743853580420983901514546777926793901721760)*a^(7) - (3377557022547018987913799857440908156821381)/(2487192679021049195075727338896339695086088)*a^(6) + (26633769273807750060180133147800216495683857)/(6632513810722797853535272903723572520229568)*a^(5) + (278867459914926092906703553504226284156990619)/(21318794391608993100649091476254340243595040)*a^(4) - (5100829524336879580182491642208076276992662857)/(149231560741262951704543640333780381705165280)*a^(3) + (260041138898056356941484006454855696902022579)/(2664849298951124137581136434531792530449380)*a^(2) + (2104959980106671573972382428789773020561615839)/(7461578037063147585227182016689019085258264)*a + (441715041182323865766284550828547356884684893)/(7461578037063147585227182016689019085258264) , (16562635515385196293053487427832644950813)/(33162569053613989267676364518617862601147840)*a^(14) - (74436627351509735674272548336329608420463)/(14212529594405995400432727650836226829063360)*a^(13) - (204058321582321371361001300271553754226877)/(11054189684537996422558788172872620867049280)*a^(12) + (145685101459224169450894371442121201474695)/(710626479720299770021636382541811341453168)*a^(11) + (8307362062925993824905584049190627659167659)/(19897541432168393560605818711170717560688704)*a^(10) - (24652992895185887247959482812177936133273419)/(11054189684537996422558788172872620867049280)*a^(9) - (31311095803167106802710408541616222943229453)/(8290642263403497316919091129654465650286960)*a^(8) + (1099568527436518771560169394054786622540679307)/(16581284526806994633838182259308931300573920)*a^(7) + (10000410019271172786587820988082504408548495)/(552709484226899821127939408643631043352464)*a^(6) - (2425554108719909182167670388977120570030411001)/(6632513810722797853535272903723572520229568)*a^(5) + (286201030363662436209696116658899932723171813)/(49743853580420983901514546777926793901721760)*a^(4) - (10570605173184561762188771325411785178454739659)/(789584977466999744468484869490901490503520)*a^(3) - (379001775438577438253068589313997534910960961007)/(6217981697552622987689318347240849237715220)*a^(2) - (198408117819036096463512963664644303237772378969)/(2487192679021049195075727338896339695086088)*a - (8082748897968077158068647690187201208286487023)/(276354742113449910563969704321815521676232) , (1777595447748591112271048377016247242521)/(24871926790210491950757273388963396950860880)*a^(14) - (63905129888994045439624024038644308815409)/(99487707160841967803029093555853587803443520)*a^(13) - (992464893183541028927056210706832596825)/(1105418968453799642255878817287262086704928)*a^(12) + (100914905933920744769412508317954291063719)/(6632513810722797853535272903723572520229568)*a^(11) - (517453710575910307524067002967179635409055)/(19897541432168393560605818711170717560688704)*a^(10) - (3986306007981533445140882898306604523136109)/(24871926790210491950757273388963396950860880)*a^(9) - (865922013239528473357134254775309868504271)/(11054189684537996422558788172872620867049280)*a^(8) + (35112690915705584993009644661320315231768567)/(6632513810722797853535272903723572520229568)*a^(7) - (33903579722425535957053460746557327272923749)/(2210837936907599284511757634574524173409856)*a^(6) + (797038278117586501690607064511941913562331863)/(19897541432168393560605818711170717560688704)*a^(5) + (996205387890312721779361662312628434943525331)/(6217981697552622987689318347240849237715220)*a^(4) - (8787368110503982765632262274195116159373078381)/(16581284526806994633838182259308931300573920)*a^(3) + (55980734180806610195285143086032121679350309)/(138177371056724955281984852160907760838116)*a^(2) + (960089534028489820965036911529676276995319199)/(310899084877631149384465917362042461885761)*a + (4012010185273617605924564042748441868262005403)/(2487192679021049195075727338896339695086088) , (2395014936970757876488032824993653145667997)/(89538936444757771022726184200268229023099168)*a^(14) - (25822396704348278850431348371036120837970569)/(127912766349653958603894548857526041461570240)*a^(13) - (139676390415677422837723250562104561043109303)/(223847341111894427556815460500670572557747920)*a^(12) + (14532344354050763236166381307662903671443799)/(2842505918881199080086545530167245365812672)*a^(11) - (36482295346505064667908217466178384606592039)/(6632513810722797853535272903723572520229568)*a^(10) - (6422970574966456159850700625576656479145703769)/(89538936444757771022726184200268229023099168)*a^(9) - (17963357707610759439412358562768720430421718241)/(298463121482525903409087280667560763410330560)*a^(8) + (534796690862212522015547880120607535887731225571)/(298463121482525903409087280667560763410330560)*a^(7) - (8775128459558409330584697766401564623798220001)/(2210837936907599284511757634574524173409856)*a^(6) + (1478451767327200034032900827375093760413519466613)/(179077872889515542045452368400536458046198336)*a^(5) + (4364393769438765564887766851778269990673625567201)/(44769468222378885511363092100134114511549584)*a^(4) - (7289662271021916207812682191520769841855489356883)/(63956383174826979301947274428763020730785120)*a^(3) + (4189456250978099090754518092442462910564803613949)/(18653945092657868963067955041722547713145660)*a^(2) + (7935766262936134991232362262374340492806257638013)/(3730789018531573792613591008344509542629132)*a + (26481558039076483363009471606609166514248995033345)/(22384734111189442755681546050067057255774792) , (13603905628661367022737720539681299176143)/(33162569053613989267676364518617862601147840)*a^(14) - 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