/* 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^35 - 175*x^33 - 70*x^32 + 13125*x^31 + 9702*x^30 - 556640*x^29 - 573225*x^28 + 14844900*x^27 + 19050185*x^26 - 261854635*x^25 - 394847250*x^24 + 3128435905*x^23 + 5347852195*x^22 - 25515383355*x^21 - 48297678121*x^20 + 141795944465*x^19 + 292585456625*x^18 - 533394487115*x^17 - 1187150912745*x^16 + 1349113537702*x^15 + 3207931617015*x^14 - 2286376450785*x^13 - 5710072444965*x^12 + 2606036871270*x^11 + 6560227221870*x^10 - 2026242763720*x^9 - 4691478893710*x^8 + 1084067118185*x^7 + 1962115542205*x^6 - 373976828869*x^5 - 432767079290*x^4 + 65717425060*x^3 + 43746645075*x^2 - 3865111915*x - 1645272349, 35, 1, [35, 0], 705021958507555897735769309192822159832506785420715156309512394727789796888828277587890625, [5, 7], [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, a^26, a^27, 1/49*a^28 + 3/7*a^27 - 1/7*a^25 - 3/7*a^24 + 3/7*a^22 + 1/7*a^21 + 2/7*a^19 - 3/7*a^18 - 2/7*a^16 - 3/7*a^15 - 3/7*a^13 - 3/7*a^12 + 1/7*a^10 - 3/7*a^9 - 1/49*a^7 + 1/7*a^6 - 1/7, 1/49*a^29 - 1/7*a^26 - 3/7*a^25 + 3/7*a^23 + 1/7*a^22 + 2/7*a^20 - 3/7*a^19 - 2/7*a^17 - 3/7*a^16 - 3/7*a^14 - 3/7*a^13 + 1/7*a^11 - 3/7*a^10 - 1/49*a^8 - 3/7*a^7 - 1/7*a, 1/202027*a^30 + 17/202027*a^29 - 934/202027*a^28 - 185/28861*a^27 - 4535/28861*a^26 + 3018/28861*a^25 + 1244/28861*a^24 + 13387/28861*a^23 + 5391/28861*a^22 - 4684/28861*a^21 + 4777/28861*a^20 - 4803/28861*a^19 + 537/4123*a^18 - 5511/28861*a^17 - 13233/28861*a^16 + 459/1519*a^15 - 414/1519*a^14 - 191/4123*a^13 - 12793/28861*a^12 + 1294/4123*a^11 + 223/1519*a^10 - 1851/10633*a^9 + 2546/10633*a^8 - 52441/202027*a^7 - 6394/28861*a^6 - 905/4123*a^5 - 142/4123*a^4 + 20/217*a^3 + 3030/28861*a^2 - 12757/28861*a + 9915/28861, 1/202027*a^31 - 1223/202027*a^29 - 1909/202027*a^28 + 6856/28861*a^27 - 6470/28861*a^26 - 4709/28861*a^25 + 12854/28861*a^24 + 8700/28861*a^23 - 1502/28861*a^22 + 10191/28861*a^21 + 571/28861*a^20 - 5296/28861*a^19 + 8923/28861*a^18 - 6129/28861*a^17 + 6917/28861*a^16 + 463/1519*a^15 - 11920/28861*a^14 + 1690/28861*a^13 - 12595/28861*a^12 - 5444/28861*a^11 - 2565/10633*a^10 - 132/1519*a^9 - 66691/202027*a^8 + 55123/202027*a^7 - 712/28861*a^6 - 1249/4123*a^5 - 1329/4123*a^4 - 13329/28861*a^3 - 935/4123*a^2 - 216/1519*a - 7758/28861, 1/202027*a^32 - 1733/202027*a^29 - 1695/202027*a^28 - 14206/28861*a^27 + 1559/4123*a^26 - 1565/4123*a^25 + 12848/28861*a^24 + 131/1519*a^23 - 9908/28861*a^22 + 11255/28861*a^21 - 5316/28861*a^20 - 214/589*a^19 - 14263/28861*a^18 + 3946/28861*a^17 - 633/28861*a^16 - 398/931*a^15 - 3592/28861*a^14 + 13823/28861*a^13 + 3748/28861*a^12 - 23843/202027*a^11 + 696/1519*a^10 + 5708/28861*a^9 + 43229/202027*a^8 + 50660/202027*a^7 - 11397/28861*a^6 + 943/4123*a^5 + 12032/28861*a^4 + 2029/4123*a^3 + 34/133*a^2 - 4014/28861*a + 8548/28861, 1/122630389*a^33 - 4/122630389*a^32 - 281/122630389*a^31 - 9/3955819*a^30 - 103889/17518627*a^29 + 1200830/122630389*a^28 - 8308166/17518627*a^27 - 9245/18817*a^26 + 750378/17518627*a^25 + 449578/922033*a^24 + 2268655/17518627*a^23 + 2444434/17518627*a^22 - 2587630/17518627*a^21 - 6372777/17518627*a^20 - 1340582/17518627*a^19 - 93644/17518627*a^18 - 3210789/17518627*a^17 + 1024582/17518627*a^16 + 243493/17518627*a^15 + 1967683/17518627*a^14 + 4790171/17518627*a^13 + 58513209/122630389*a^12 + 16188141/122630389*a^11 - 17309172/122630389*a^10 - 55381439/122630389*a^9 - 231898/2502661*a^8 + 54440133/122630389*a^7 + 5971351/17518627*a^6 + 821764/17518627*a^5 + 2260521/17518627*a^4 + 1358540/17518627*a^3 + 92707/17518627*a^2 + 2000/11533*a + 8068836/17518627, 1/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^34 + 17377579808658439738813663136930653007035750669640973924662982408789101166003874760535546808172166375151473078220109514907070618293409860186747815296229907652704707/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^33 - 7449836994492372784940877931449948653089464892018866255397836239014542485915418223983770376351165700566273311582346926438202439248428315717664732518522126115290150882/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^32 + 4755867393373538561106285858174561489350908587406203338030286492097178464408427359119582149879671997092128246950231072988690587806095732747035088762773557725881124517/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^31 - 11631952682191213973687994737769536633028568080186179344202242778205685933595331677806794621016413853580725340115500713013694958835065290654586063038584536524463642633/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^30 - 24150082474374701898022074399716589910374996586129699424981643494648428565248795791097406004504584874057447570482883320869540536848049433468021868066773078038239794166441/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^29 + 495429178248738986621475723915805222762477372692057907771660337899947842824713185428217912154350387483046452412401240275069334093570322942763333237832651858181823177855/567977411198584004278006868143082265340571944969273413438852899952387175647894115132577819596988636429341075710038217399927850957056643443783883980616134578464836624248669*a^28 - 716433833429610684161079039532727689395054277074203675824157924203799940866429513615927771929678619379938526947087342366981236168359819045433397420972140231928406110107595/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^27 - 1067739291986139121772714104760241140988720561179591191353030201933120920712939912733098836220118013905065838508781461485376920135677016482734925802230652289222359717008/220236139036185634311880214177929857989201366416657037864045002022354210965509963010591399435567022288928172214096451644869983024164820927181506033300133816139426446137239*a^26 - 309750367858372489430740641204282579337358426815947282759326887535288142291355650656043616579933198398881281634657098002865262890918485644467531996218837289901337619556683/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^25 + 138146563464342498163987906532335148321723236099393850398293285350288827594380195079960857055074180683260298490113477915942718342329556066108612947123751526554151266474712/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^24 - 357207665900610661607085257151986413694316932908787820719834590359202798116790621992715776518380931095499877319933139037816055351947804372724505389556014241429677265667010/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^23 - 770031487312612151919245381703340140200917929822396927379794780644295336460000478879356601003858540338057652921301491981507772243284248442626488250268260896691365976025166/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^22 + 676443961793319457079011139847094109676486630995730632094400555045222629186813220712372948604472123350602564184620982039855164534628648557728011794374570144743291451507394/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^21 - 586074898683743065157582914963019781279389601643648645192279019332564076177979671109738596417534335493920300545610537501278720723128322916005853715233764786301957409286733/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^20 + 162037171574880283538248607646673429410210512698834608646260619294863301693796414148324099702634503944905313743820471554064015184948323727901432773332169372747831271264885/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^19 + 170335061280542222836585836719336582551438519442471968367158361809058277413496660166789132930033000005171072572897727743420936436426125846478737239016635033066499545754974/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^18 - 407913129761903688201683337104022240742460939498412317225816880821065451379862835531355374432901174674013211044648013668183770546969886485136457491868531192405778009270253/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^17 + 708913532412490185992489119589528501438798292343560327112930755372849704971158967038513999951732538192423172108239880489520499995265449249045005461285598187714044193208274/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^16 - 754073067921616709299741386820804643386250233724780144330487062959635210591552467885644783322428042849259262731930387767507769379205167277734323759282839048122045233299719/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^15 + 713353090837133083402589550047904954348390327722740912769173756209813582126055090698129278836831402313993772441596164406831050703202285543831208917967948454620234399464813/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^14 + 3612751566058515122472384909140504622833353678465347156748146818673624093827915402832057626606933443651850730328194700073284409499903398529943846325640449678736428855728734/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^13 + 95529464469508484484447079780725242305921784719765324650370785756887812352904231635088768912055332370048279698729084719176155052433860232535411370517107016087230005644192/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^12 - 5028443898021525170705667702230768642707723674076309964944501061858105742996731342670350688795149446680567006749458089039109540523118736518519161575670569790162385139331820/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^11 + 2045665466058137576480250213404517209183057527056038561814748865145526370564087155848226201157410216766441237841453252834776133902704640830025439642151180649285816329679870/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^10 - 111366518110135839390252846594332801945221382407395006954466531034257478064754247083756397279286727211704630069439857223491167618097791459290456923859715130527689306941457/567977411198584004278006868143082265340571944969273413438852899952387175647894115132577819596988636429341075710038217399927850957056643443783883980616134578464836624248669*a^9 - 1794839372522755423679013190421672741340706397832202590616891515493708295496166948534993245044562725649117186908345685930044798492049502633257246196950755082797831512727686/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^8 + 4689919442872212452956379131406414225507753297709561476356067199586855974178719355174526925405808568437772893975092538613557061116468164959363753400454394781386907050304342/10791570812773096081282130494718563041470866954416194855338205099095356337309988187518978572342784092157480438490726130598629168184076225431893795631706556990831895860724711*a^7 + 246077310423257461236227057170941348646590156332474559935865223305404321083100785807148423535219664658067750728874544825246249486145104031971523483661437505270826718196137/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^6 - 70085852759735076573071579435942654177428300893495904745157038596695836506074528948306628474630844510120129928039485218446788924995891084986563479610576165943618074321703/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^5 + 364058652331192180128736932641002313223593696603189219648729823157809459937615834720888410924214803606004787949531868954850605291521645383755319174847196657724223630733376/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^4 + 11861927833357066424366957910728755558101576659586860561534270053414156680502230401226057306910014062354147012964351016278520130292717995522451565070721285729283707578517/81139630171226286325429552591868895048653134995610487634121842850341025092556302161796831370998376632763010815719745342846835851008091920540554854373733511209262374892667*a^3 - 25735528504567377917450214297133401288247334270156340764478872420227558070036425691188568342263911571747597802508180471900183789532159459855118664586674631292242155427052/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a^2 + 431998744325000940144674790989098599656061784275352257077306614473297436392733427607757297831158921098297457556234733762213183993024042432916897562014055547138765949440216/1541652973253299440183161499245509005924409564916599265048315014156479476758569741074139796048969156022497205498675161514089881169153746490270542233100936712975985122960673*a + 1421994630833843036941009192290305636425013960468156153634898910156401752705616715898450040479326245133526553442184310774679871802269259089077573030155568731098464949285/49730741072687078715585854814371258255626114997309653711235968198596112153502249712069025678999005032983780822537908435938383263521088596460340072035514087515354358805183], 0, 0,0,0,0,0, [[x^5 - 10*x^3 - 5*x^2 + 10*x - 1, 1], [x^7 - 21*x^5 - 21*x^4 + 91*x^3 + 112*x^2 - 84*x - 97, 1]]]