/* 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^27 - 3*x^26 - 11*x^25 + 17*x^24 + 38*x^23 + x^22 + 157*x^21 + 384*x^20 + 124*x^19 - 139*x^18 + 318*x^17 + 1284*x^16 + 1757*x^15 - 73*x^14 - 3289*x^13 - 3942*x^12 - 2202*x^11 - 2459*x^10 - 3813*x^9 - 1971*x^8 + 2174*x^7 + 7281*x^6 + 9348*x^5 + 4444*x^4 - 209*x^3 - 325*x^2 + 132*x + 1, 27, 8, [1, 13], -476657463863730234951616960570180249031207, [1607], [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, 1/5*a^18 + 1/5*a^17 + 2/5*a^16 + 2/5*a^15 + 1/5*a^14 + 2/5*a^13 + 1/5*a^12 + 1/5*a^6 + 1/5*a^5 + 2/5*a^4 + 2/5*a^3 + 1/5*a^2 + 2/5*a + 1/5, 1/5*a^19 + 1/5*a^17 - 1/5*a^15 + 1/5*a^14 - 1/5*a^13 - 1/5*a^12 + 1/5*a^7 + 1/5*a^5 - 1/5*a^3 + 1/5*a^2 - 1/5*a - 1/5, 1/5*a^20 - 1/5*a^17 + 2/5*a^16 - 1/5*a^15 - 2/5*a^14 + 2/5*a^13 - 1/5*a^12 + 1/5*a^8 - 1/5*a^5 + 2/5*a^4 - 1/5*a^3 - 2/5*a^2 + 2/5*a - 1/5, 1/35*a^21 + 3/35*a^20 + 3/35*a^19 - 2/35*a^18 + 6/35*a^17 - 12/35*a^16 - 1/7*a^15 + 13/35*a^14 + 1/7*a^13 + 13/35*a^12 - 2/7*a^10 + 16/35*a^9 - 17/35*a^8 - 1/5*a^7 - 17/35*a^6 + 1/35*a^5 + 13/35*a^4 - 1/7*a^3 - 1/5*a^2 + 13/35, 1/665*a^22 + 4/665*a^21 + 11/133*a^20 - 48/665*a^19 - 17/665*a^18 - 11/133*a^17 - 206/665*a^16 - 11/35*a^15 - 16/133*a^14 - 192/665*a^13 + 62/665*a^12 + 33/133*a^11 + 181/665*a^10 + 11/35*a^9 - 23/133*a^8 + 102/665*a^7 - 2/665*a^6 - 6/19*a^5 - 216/665*a^4 + 226/665*a^3 + 5/19*a^2 + 328/665*a - 253/665, 1/7315*a^23 - 3/7315*a^22 - 6/1463*a^21 + 327/7315*a^20 + 136/1463*a^19 - 124/1463*a^18 - 272/1463*a^17 - 1142/7315*a^16 + 2599/7315*a^15 + 3484/7315*a^14 - 19/77*a^13 - 116/665*a^12 - 2969/7315*a^11 - 1818/7315*a^10 + 699/1463*a^9 + 116/1045*a^8 + 43/1463*a^7 - 138/1463*a^6 + 3/11*a^5 - 2062/7315*a^4 + 164/665*a^3 - 1296/7315*a^2 - 27/133*a + 2759/7315, 1/7315*a^24 + 1/1463*a^22 - 1/1463*a^21 - 9/665*a^20 - 69/1045*a^19 - 206/7315*a^18 - 81/209*a^17 + 488/1463*a^16 - 628/1463*a^15 + 2619/7315*a^14 + 3253/7315*a^13 + 2201/7315*a^12 - 9/19*a^11 + 82/209*a^10 - 15/133*a^9 + 23/95*a^8 + 1517/7315*a^7 + 2554/7315*a^6 + 316/1463*a^5 + 75/209*a^4 + 16/77*a^3 + 864/7315*a^2 - 3357/7315*a + 683/1463, 1/507331825*a^25 + 47/2899039*a^24 + 2901/101466365*a^23 - 170218/507331825*a^22 + 2821334/507331825*a^21 + 5269406/101466365*a^20 - 15266079/507331825*a^19 + 15305287/507331825*a^18 - 212664664/507331825*a^17 - 168498919/507331825*a^16 - 21747853/46121075*a^15 - 2193648/39025525*a^14 + 151978142/507331825*a^13 + 209800709/507331825*a^12 - 45198969/101466365*a^11 + 239972862/507331825*a^10 - 16459513/72475975*a^9 - 6495960/20293273*a^8 + 176365536/507331825*a^7 - 99661203/507331825*a^6 - 37279094/507331825*a^5 - 230978304/507331825*a^4 + 1509022/4192825*a^3 + 1405846/5575075*a^2 - 9701359/46121075*a + 7477044/507331825, 1/428868841741781426109186287225*a^26 - 278297844777010632302/428868841741781426109186287225*a^25 + 1145844218385667626085717/17154753669671257044367451489*a^24 - 7732945108632891182717323/428868841741781426109186287225*a^23 - 12502488363078348647664205/17154753669671257044367451489*a^22 - 1164579325629159958520926148/428868841741781426109186287225*a^21 + 31568016733704365912024356941/428868841741781426109186287225*a^20 + 6518369974081796127077360641/85773768348356285221837257445*a^19 + 3209065575087253957326213934/32989910903213955854552791325*a^18 - 172270955373800794227453244316/428868841741781426109186287225*a^17 + 1256456649155263786239352428/7797615304396025929257932495*a^16 - 116214233108560885714586995518/428868841741781426109186287225*a^15 - 26006292905467005913468189497/85773768348356285221837257445*a^14 + 370290406967653022151098592/6597982180642791170910558265*a^13 + 210048499361139290941718622687/428868841741781426109186287225*a^12 + 86533574042789474012902511832/428868841741781426109186287225*a^11 + 24667610858795351838145847698/85773768348356285221837257445*a^10 + 126070723644710921600311363747/428868841741781426109186287225*a^9 - 6662030357205247806536133837/61266977391683060872740898175*a^8 - 39746888767483753286531721/88153924304579943701785465*a^7 - 198071170610519074238339961833/428868841741781426109186287225*a^6 - 121820910773846789839053296716/428868841741781426109186287225*a^5 + 259441432797730746640577686/7797615304396025929257932495*a^4 - 161364442280294508345099747798/428868841741781426109186287225*a^3 + 635951452125229850686432827/5569725217425732806612808925*a^2 + 2470702217691593758520790713/22572044302199022426799278275*a + 360071919525117303031542702/3544370592907284513299060225], 0, 1, [], 1, [ (305083131943713680394960053)/(14788580749716600900316768525)*a^(26) - (927950553847083769021332382)/(14788580749716600900316768525)*a^(25) - (93930083545835734867742719)/(422530878563331454294764815)*a^(24) + (274227697532838672132398814)/(778346355248242152648250975)*a^(23) + (11147115717935349595139839468)/(14788580749716600900316768525)*a^(22) + (488909527030859226314152542)/(14788580749716600900316768525)*a^(21) + (48493028330679994180419343313)/(14788580749716600900316768525)*a^(20) + (114837648015378967042051931234)/(14788580749716600900316768525)*a^(19) + (37831930359624586034136623139)/(14788580749716600900316768525)*a^(18) - (36233049488144234512847654914)/(14788580749716600900316768525)*a^(17) + (7465946722961060053167310228)/(1137583134593584684639751425)*a^(16) + (384712112421993870703560295499)/(14788580749716600900316768525)*a^(15) + (531544604280702346060341499609)/(14788580749716600900316768525)*a^(14) - (15370547531663631623880370267)/(14788580749716600900316768525)*a^(13) - (88469438004849888528164897728)/(1344416431792418263665160775)*a^(12) - (1182487279829718880541131390819)/(14788580749716600900316768525)*a^(11) - (701692788345996689288811939417)/(14788580749716600900316768525)*a^(10) - (785658236884701039492922235948)/(14788580749716600900316768525)*a^(9) - (1155864412479254873008237016307)/(14788580749716600900316768525)*a^(8) - (4354934281678802835176030919)/(106392667264148207915947975)*a^(7) + (5096902055809546039609501424)/(122219675617492569424105525)*a^(6) + (2185239165335793777912849516066)/(14788580749716600900316768525)*a^(5) + (405076783558393853484971221467)/(2112654392816657271473824075)*a^(4) + (1399508657755543064371406579214)/(14788580749716600900316768525)*a^(3) + (46319279387225157831037644591)/(14788580749716600900316768525)*a^(2) - (400846151675960690414497554)/(84506175712666290858952963)*a + (817588234065652333199566498)/(778346355248242152648250975) , (9407144631075358824251500247)/(428868841741781426109186287225)*a^(26) - (40512206464741905550341659459)/(428868841741781426109186287225)*a^(25) - (10667599516735164774701443031)/(85773768348356285221837257445)*a^(24) + (241724305983637645546998807219)/(428868841741781426109186287225)*a^(23) + (11373117208728613072195142249)/(85773768348356285221837257445)*a^(22) - (136471232001019229767869836306)/(428868841741781426109186287225)*a^(21) + (1642267311110873057205334132852)/(428868841741781426109186287225)*a^(20) + (27339313912751435339750823553)/(7797615304396025929257932495)*a^(19) - (99218680937564519294055800982)/(32989910903213955854552791325)*a^(18) - (47521131642302721148114333977)/(428868841741781426109186287225)*a^(17) + (684146671407681094077573116901)/(85773768348356285221837257445)*a^(16) + (7561965001975752255486600038784)/(428868841741781426109186287225)*a^(15) + (161453081771653368294601833943)/(12253395478336612174548179635)*a^(14) - (31627610991044470654300343236)/(1319596436128558234182111653)*a^(13) - (19212971513810394830184506351591)/(428868841741781426109186287225)*a^(12) - (9029029665640913804345167023371)/(428868841741781426109186287225)*a^(11) - (139867308794442221344339354800)/(17154753669671257044367451489)*a^(10) - (120540132615100498248708377052)/(3224577757457003203828468325)*a^(9) - (1949185262912635291031762460614)/(61266977391683060872740898175)*a^(8) + (174181689605020383442162349)/(17630784860915988740357093)*a^(7) + (18923975317919581335447804234009)/(428868841741781426109186287225)*a^(6) + (42866168384849164919111956703298)/(428868841741781426109186287225)*a^(5) + (5381184461449368517564349377862)/(85773768348356285221837257445)*a^(4) - (5870711736561421202317795903901)/(428868841741781426109186287225)*a^(3) - (261814591742783802396270625416)/(61266977391683060872740898175)*a^(2) + (130073252970200921097983176902)/(61266977391683060872740898175)*a - (126670573373519953063404728626)/(428868841741781426109186287225) , (192161684624705646313506528)/(17154753669671257044367451489)*a^(26) - (1329174716419909861983367261)/(85773768348356285221837257445)*a^(25) - (16090013370956609197820251101)/(85773768348356285221837257445)*a^(24) + (2866243968528641869604332172)/(85773768348356285221837257445)*a^(23) + (68056761543857087278642966199)/(85773768348356285221837257445)*a^(22) + (39083811882264764733852692986)/(85773768348356285221837257445)*a^(21) + (144850048279173456046513789728)/(85773768348356285221837257445)*a^(20) + (621651341354089899478914267139)/(85773768348356285221837257445)*a^(19) + (16260656458044231294077867146)/(2450679095667322434909635927)*a^(18) - (97292709549855100148694909022)/(85773768348356285221837257445)*a^(17) + (34325711036938786486899111589)/(17154753669671257044367451489)*a^(16) + (348832546957347412806141661200)/(17154753669671257044367451489)*a^(15) + (3372725704074054638755154517537)/(85773768348356285221837257445)*a^(14) + (54784977224238516953293890480)/(2450679095667322434909635927)*a^(13) - (3888540814320409227100841123099)/(85773768348356285221837257445)*a^(12) - (1157282061301595340198406247134)/(12253395478336612174548179635)*a^(11) - (337324109619497838193586550329)/(4514408860439804485359855655)*a^(10) - (4665382309005413656430876255489)/(85773768348356285221837257445)*a^(9) - (994216448111709058816114822046)/(12253395478336612174548179635)*a^(8) - (44671792894653874143214822279)/(617077470132059605912498255)*a^(7) + (106777549279021308188727075593)/(17154753669671257044367451489)*a^(6) + (10319065219161981362178017823158)/(85773768348356285221837257445)*a^(5) + (3716905163836364728777380759860)/(17154753669671257044367451489)*a^(4) + (2939834498349556710305904951005)/(17154753669671257044367451489)*a^(3) + (3669169816349043808497178545652)/(85773768348356285221837257445)*a^(2) - (111722981501142349101817060327)/(12253395478336612174548179635)*a - (281128842507435207655382201983)/(85773768348356285221837257445) , (2689324382531554956274195268)/(85773768348356285221837257445)*a^(26) - (40271866428888806903764594622)/(428868841741781426109186287225)*a^(25) - (2258404106849077838968471939)/(6597982180642791170910558265)*a^(24) + (44619209149883565555358729153)/(85773768348356285221837257445)*a^(23) + (45451200441681936385424542856)/(38988076521980129646289662475)*a^(22) + (6874155454510308792354354131)/(61266977391683060872740898175)*a^(21) + (708374674470532945580891129)/(141774823716291380531962409)*a^(20) + (5144887175676115820030911328193)/(428868841741781426109186287225)*a^(19) + (1924882420395424388606777268371)/(428868841741781426109186287225)*a^(18) - (1493550388054197623296588193182)/(428868841741781426109186287225)*a^(17) + (4135463238050847135765632551778)/(428868841741781426109186287225)*a^(16) + (17169317912545634751683263203496)/(428868841741781426109186287225)*a^(15) + (200420489938632235627840369718)/(3544370592907284513299060225)*a^(14) + (473072848540905866264878199901)/(428868841741781426109186287225)*a^(13) - (42817722312667149517466622579823)/(428868841741781426109186287225)*a^(12) - (1557152363167938229719848769066)/(12253395478336612174548179635)*a^(11) - (33579027765981558518276051733544)/(428868841741781426109186287225)*a^(10) - (2739364580991993889560488556416)/(32989910903213955854552791325)*a^(9) - (10475316605188432724205300301463)/(85773768348356285221837257445)*a^(8) - (19252330199713292924446093403)/(280489759150936184505681025)*a^(7) + (25842451614591814007842797533901)/(428868841741781426109186287225)*a^(6) + (8902751075348645795081948585223)/(38988076521980129646289662475)*a^(5) + (129520398212344119890109778902398)/(428868841741781426109186287225)*a^(4) + (68424895587110969832175079640906)/(428868841741781426109186287225)*a^(3) + (4420035929253263743982424312843)/(428868841741781426109186287225)*a^(2) - (3954104500577773750413173298222)/(428868841741781426109186287225)*a + (776951032243665511285746145767)/(428868841741781426109186287225) , (3875629319005629337029310211)/(428868841741781426109186287225)*a^(26) - (15475902028686235248649773318)/(428868841741781426109186287225)*a^(25) - (1150414381642794148254976130)/(17154753669671257044367451489)*a^(24) + (100373200962850514473526780542)/(428868841741781426109186287225)*a^(23) + (58974258515324993912874400908)/(428868841741781426109186287225)*a^(22) - (93005224548052880326483200047)/(428868841741781426109186287225)*a^(21) + (675302149076399734732535289946)/(428868841741781426109186287225)*a^(20) + (852559966892790863040019513339)/(428868841741781426109186287225)*a^(19) - (24772521743708056455747226164)/(17154753669671257044367451489)*a^(18) - (262049084263777124320774547042)/(428868841741781426109186287225)*a^(17) + (156251001179323355099510244094)/(38988076521980129646289662475)*a^(16) + (36058574537551376396455091403)/(4514408860439804485359855655)*a^(15) + (2773781234883972947541342297209)/(428868841741781426109186287225)*a^(14) - (637986777409440868612737054561)/(61266977391683060872740898175)*a^(13) - (9433075892317786565490484686937)/(428868841741781426109186287225)*a^(12) - (4101697417421494474686590555303)/(428868841741781426109186287225)*a^(11) - (671946143254076423453368017457)/(428868841741781426109186287225)*a^(10) - (7108015300555554822067369455102)/(428868841741781426109186287225)*a^(9) - (7862156753673841709633659575999)/(428868841741781426109186287225)*a^(8) + (15706738495007370693217125811)/(3085387350660298029562491275)*a^(7) + (263625835010122231518648036794)/(12253395478336612174548179635)*a^(6) + (18088443301807660682907217323863)/(428868841741781426109186287225)*a^(5) + (1310856376187488444670648712444)/(38988076521980129646289662475)*a^(4) - (114203228266921715745911808969)/(12253395478336612174548179635)*a^(3) - (30766147059646251080287791711)/(5569725217425732806612808925)*a^(2) + (163206411731661230204310854059)/(22572044302199022426799278275)*a - (33545850175953473738522049597)/(38988076521980129646289662475) , (11538277846480893631793636154)/(428868841741781426109186287225)*a^(26) - (2803476978629894898457866562)/(32989910903213955854552791325)*a^(25) - (23820821841533809708059867516)/(85773768348356285221837257445)*a^(24) + (206272848996854379908284441953)/(428868841741781426109186287225)*a^(23) + (395386646912472966181909385109)/(428868841741781426109186287225)*a^(22) - (5297211551491664592756852269)/(428868841741781426109186287225)*a^(21) + (1825963485338215554425851010204)/(428868841741781426109186287225)*a^(20) + (4138058246435865520447324952737)/(428868841741781426109186287225)*a^(19) + (1105205326848762878920322508882)/(428868841741781426109186287225)*a^(18) - (1433335779051785896900937237072)/(428868841741781426109186287225)*a^(17) + (3784734216701514006320395048782)/(428868841741781426109186287225)*a^(16) + (14186189119230721756728913553347)/(428868841741781426109186287225)*a^(15) + (18678965948644376774413328898387)/(428868841741781426109186287225)*a^(14) - (2102893295281303466831438627366)/(428868841741781426109186287225)*a^(13) - (36139178495639731659964686676134)/(428868841741781426109186287225)*a^(12) - (5897454255698392155437711460386)/(61266977391683060872740898175)*a^(11) - (1771237963683917891066358692642)/(32989910903213955854552791325)*a^(10) - (3980168201909795185932283967877)/(61266977391683060872740898175)*a^(9) - (41440397361917364329591355222606)/(428868841741781426109186287225)*a^(8) - (142366965701683078029908133992)/(3085387350660298029562491275)*a^(7) + (25000271957214961877520019358377)/(428868841741781426109186287225)*a^(6) + (79659164978326633271440897929643)/(428868841741781426109186287225)*a^(5) + (99195219718434101371627133864397)/(428868841741781426109186287225)*a^(4) + (45026599950244907385877225337417)/(428868841741781426109186287225)*a^(3) - (1373239491839437591244213414562)/(428868841741781426109186287225)*a^(2) - (403433344652538543005764878156)/(85773768348356285221837257445)*a + (1022076008010502360629300081736)/(428868841741781426109186287225) , (14699370967985197097044452862)/(428868841741781426109186287225)*a^(26) - (2947935244718929542558408404)/(38988076521980129646289662475)*a^(25) - (7967925116410918199607071092)/(17154753669671257044367451489)*a^(24) + (132912816825454014430083837694)/(428868841741781426109186287225)*a^(23) + (153906901092393095657151634982)/(85773768348356285221837257445)*a^(22) + (384970729548740987044836865159)/(428868841741781426109186287225)*a^(21) + (2312795178180298484717446459762)/(428868841741781426109186287225)*a^(20) + (302090181511996004824263087842)/(17154753669671257044367451489)*a^(19) + (5870442293134116220934010781694)/(428868841741781426109186287225)*a^(18) - (6801985472470804613628583419)/(3224577757457003203828468325)*a^(17) + (106836182747446654318770216392)/(12253395478336612174548179635)*a^(16) + (3247368748413124721107646536602)/(61266977391683060872740898175)*a^(15) + (7940742405672547933048773818889)/(85773768348356285221837257445)*a^(14) + (3534560924406100951834228031679)/(85773768348356285221837257445)*a^(13) - (49677527973622496322484416043956)/(428868841741781426109186287225)*a^(12) - (643996988200911758677190135647)/(2999082809383086895868435575)*a^(11) - (14626633746218956742805036445792)/(85773768348356285221837257445)*a^(10) - (62348549686960462244511787440751)/(428868841741781426109186287225)*a^(9) - (87218327996544739945026534137188)/(428868841741781426109186287225)*a^(8) - (101706859658162348331677148207)/(617077470132059605912498255)*a^(7) + (11106359755016956316575108853669)/(428868841741781426109186287225)*a^(6) + (128078605606517384655528834924198)/(428868841741781426109186287225)*a^(5) + (8624932028842488920692832181244)/(17154753669671257044367451489)*a^(4) + (164913084023328391810805702428529)/(428868841741781426109186287225)*a^(3) + (485849436688768751051679107879)/(4421328265379189959888518425)*a^(2) + (2496135758776711576532711429969)/(428868841741781426109186287225)*a + (1759653461401632211724952401729)/(428868841741781426109186287225) , (13540422314031170304905639982)/(428868841741781426109186287225)*a^(26) - (51595180483807956828915436434)/(428868841741781426109186287225)*a^(25) - (159118534656704724530184409)/(644915551491400640765693665)*a^(24) + (309879587792641346286839421404)/(428868841741781426109186287225)*a^(23) + (4695346769938131259368270304)/(7797615304396025929257932495)*a^(22) - (162858545565697171166232824096)/(428868841741781426109186287225)*a^(21) + (205085766862066633485045619057)/(38988076521980129646289662475)*a^(20) + (19220692279188562773176455594)/(2450679095667322434909635927)*a^(19) - (825335336727219727525894750871)/(428868841741781426109186287225)*a^(18) - (151585628987913205424590952601)/(61266977391683060872740898175)*a^(17) + (1002047039471542193676998928063)/(85773768348356285221837257445)*a^(16) + (1027377951546751060445335248143)/(32989910903213955854552791325)*a^(15) + (22181862006882481384045443987)/(708874118581456902659812045)*a^(14) - (435977933025726118262685321398)/(17154753669671257044367451489)*a^(13) - (35143931077606918947634998632576)/(428868841741781426109186287225)*a^(12) - (26185579671786472190694032235911)/(428868841741781426109186287225)*a^(11) - (433496897742799066331022236176)/(17154753669671257044367451489)*a^(10) - (1346607154519011363208643759999)/(22572044302199022426799278275)*a^(9) - (4498245149502764535966846022414)/(61266977391683060872740898175)*a^(8) - (439377695848999646570726397)/(56097951830187236901136205)*a^(7) + (30746350089815194131677696450104)/(428868841741781426109186287225)*a^(6) + (6735651387840993726251460167688)/(38988076521980129646289662475)*a^(5) + (103572085636474335534774089718)/(644915551491400640765693665)*a^(4) + (733735118945194620034870610198)/(32989910903213955854552791325)*a^(3) - (74419329389496710841341067686)/(4421328265379189959888518425)*a^(2) + (1276433594962363047960894767839)/(428868841741781426109186287225)*a + (14781940351636350054804091313)/(32989910903213955854552791325) , (3000628567710441058943122334)/(85773768348356285221837257445)*a^(26) - (7120684366332940779827805416)/(61266977391683060872740898175)*a^(25) - (29764624311104803654088559957)/(85773768348356285221837257445)*a^(24) + (61038222084826775891746249464)/(85773768348356285221837257445)*a^(23) + (457267314390360779402640269631)/(428868841741781426109186287225)*a^(22) - (19469981557117313056457118879)/(61266977391683060872740898175)*a^(21) + (494675318003148250310149003447)/(85773768348356285221837257445)*a^(20) + (259991101062165086417273189292)/(22572044302199022426799278275)*a^(19) + (280111454503678764578278007661)/(428868841741781426109186287225)*a^(18) - (1675452685212643108640046439357)/(428868841741781426109186287225)*a^(17) + (5481214290677665344047793451823)/(428868841741781426109186287225)*a^(16) + (1315424662858588080128812260277)/(32989910903213955854552791325)*a^(15) + (1108108874221302827678708896242)/(22572044302199022426799278275)*a^(14) - (71090656016401574670837628827)/(4421328265379189959888518425)*a^(13) - (45127787010274012983278499229178)/(428868841741781426109186287225)*a^(12) - (1257231437421689292881754231738)/(12253395478336612174548179635)*a^(11) - (231650516812323283768832830582)/(4421328265379189959888518425)*a^(10) - (33957503288858718627886009397078)/(428868841741781426109186287225)*a^(9) - (9475838041991553818049299511716)/(85773768348356285221837257445)*a^(8) - (107620764777373414338346761013)/(3085387350660298029562491275)*a^(7) + (33208733201300180738386776042416)/(428868841741781426109186287225)*a^(6) + (96136523246039617796533394753953)/(428868841741781426109186287225)*a^(5) + (15748099918352387724319563400124)/(61266977391683060872740898175)*a^(4) + (2780560183710292942343178310922)/(32989910903213955854552791325)*a^(3) - (3968811869669511543602046784967)/(428868841741781426109186287225)*a^(2) + (322068524310544219121165977173)/(428868841741781426109186287225)*a + (33000677036860580838276727324)/(32989910903213955854552791325) , (873918735895508475162521082)/(38988076521980129646289662475)*a^(26) - (1003571318975484890943673882)/(12253395478336612174548179635)*a^(25) - (15633949243979318294043874074)/(85773768348356285221837257445)*a^(24) + (195344064068841349273184770944)/(428868841741781426109186287225)*a^(23) + (209393286780045211527887899893)/(428868841741781426109186287225)*a^(22) - (483895088647588522959711664)/(12253395478336612174548179635)*a^(21) + (1566601254381150389896296520252)/(428868841741781426109186287225)*a^(20) + (138062934596189754406823294841)/(22572044302199022426799278275)*a^(19) + (248916677527324105916857350277)/(428868841741781426109186287225)*a^(18) - (33533562280964889398562320032)/(22572044302199022426799278275)*a^(17) + (3063775953671886498977912386069)/(428868841741781426109186287225)*a^(16) + (924621173598885968291638294312)/(38988076521980129646289662475)*a^(15) + (11823933352485621252619326840134)/(428868841741781426109186287225)*a^(14) - (626083717095514886124029987561)/(61266977391683060872740898175)*a^(13) - (5058788601318457871172626769773)/(85773768348356285221837257445)*a^(12) - (25629434580769569892045908358646)/(428868841741781426109186287225)*a^(11) - (14704034220732148958412552236682)/(428868841741781426109186287225)*a^(10) - (117817905598409666433206195128)/(2450679095667322434909635927)*a^(9) - (25871496014567312489315031664418)/(428868841741781426109186287225)*a^(8) - (70538259074371279875391250784)/(3085387350660298029562491275)*a^(7) + (19505654660342176932074199604917)/(428868841741781426109186287225)*a^(6) + (57639098342766700234556335380922)/(428868841741781426109186287225)*a^(5) + (62096375483466265696748452525309)/(428868841741781426109186287225)*a^(4) + (2258858806930087266091679520407)/(38988076521980129646289662475)*a^(3) - (823945844617110239530191052448)/(428868841741781426109186287225)*a^(2) - (16869660156718843727199307597)/(3544370592907284513299060225)*a - (19339746199207548298389841379)/(85773768348356285221837257445) , (438597187246234012292187351)/(38988076521980129646289662475)*a^(26) - (16682896910905483254614931081)/(428868841741781426109186287225)*a^(25) - (1747328897569636966539382990)/(17154753669671257044367451489)*a^(24) + (13568914477693882434526716736)/(61266977391683060872740898175)*a^(23) + (128256330941750090305492769037)/(428868841741781426109186287225)*a^(22) - (13645296254754560137457609884)/(428868841741781426109186287225)*a^(21) + (784446995740642820009344582426)/(428868841741781426109186287225)*a^(20) + (1481859235449986320181467481341)/(428868841741781426109186287225)*a^(19) + (221804560253871547047278800614)/(428868841741781426109186287225)*a^(18) - (6326492112649837601146589154)/(6597982180642791170910558265)*a^(17) + (1623981106330481792376701513146)/(428868841741781426109186287225)*a^(16) + (494559318286261510424989463959)/(38988076521980129646289662475)*a^(15) + (938362206011831354736703286668)/(61266977391683060872740898175)*a^(14) - (265191550642838684676056443684)/(61266977391683060872740898175)*a^(13) - (13470334504645911554256523097634)/(428868841741781426109186287225)*a^(12) - (14008252701396138758504579017743)/(428868841741781426109186287225)*a^(11) - (1150847745537533484954221948274)/(61266977391683060872740898175)*a^(10) - (11515649756123674496290310561014)/(428868841741781426109186287225)*a^(9) - (15412300150636408591337663734754)/(428868841741781426109186287225)*a^(8) - (44488897062713088877294422301)/(3085387350660298029562491275)*a^(7) + (10313809511339932421229759267724)/(428868841741781426109186287225)*a^(6) + (6135215917684662581001305499182)/(85773768348356285221837257445)*a^(5) + (34591344811742157488773536693126)/(428868841741781426109186287225)*a^(4) + (1312170353838825311621007727649)/(38988076521980129646289662475)*a^(3) + (49564458136660220354845733378)/(85773768348356285221837257445)*a^(2) - (75179254066511735778742568)/(186545820679330763857845275)*a + (48209958813448743642274382408)/(61266977391683060872740898175) , (3489941843008169625754813792)/(428868841741781426109186287225)*a^(26) - (83226327256338844354623079)/(3224577757457003203828468325)*a^(25) - (7092818434747390612791450852)/(85773768348356285221837257445)*a^(24) + (4647743001549957123023079338)/(32989910903213955854552791325)*a^(23) + (119623262452596588612888221109)/(428868841741781426109186287225)*a^(22) + (8474180719574672821467817182)/(428868841741781426109186287225)*a^(21) + (28463859237620827002163516408)/(22572044302199022426799278275)*a^(20) + (1243988478425306185314911368792)/(428868841741781426109186287225)*a^(19) + (382235590419164614665427909738)/(428868841741781426109186287225)*a^(18) - (94274651313494804936110602971)/(85773768348356285221837257445)*a^(17) + (95354342584723239299079193622)/(38988076521980129646289662475)*a^(16) + (4304117823260892270631157730683)/(428868841741781426109186287225)*a^(15) + (58860929616980065594255102681)/(4421328265379189959888518425)*a^(14) - (531384672427295553303332410176)/(428868841741781426109186287225)*a^(13) - (11082168786688497470058453092993)/(428868841741781426109186287225)*a^(12) - (1864808465431494925629373073553)/(61266977391683060872740898175)*a^(11) - (7193996068282314813435174660051)/(428868841741781426109186287225)*a^(10) - (7841541112212764747224048647303)/(428868841741781426109186287225)*a^(9) - (911488893349437495627057868266)/(32989910903213955854552791325)*a^(8) - (41315041887102485502399069212)/(3085387350660298029562491275)*a^(7) + (8047397482534863254184997549283)/(428868841741781426109186287225)*a^(6) + (375767672597288951358262222494)/(6597982180642791170910558265)*a^(5) + (30300678596010258469073343552)/(428440401340440985124062225)*a^(4) + (13995310045505960511717170281063)/(428868841741781426109186287225)*a^(3) - (29604966872307824708664748932)/(7797615304396025929257932495)*a^(2) - (2091701306425456860318360789919)/(428868841741781426109186287225)*a - (67786758860637803104553489)/(5569725217425732806612808925) , (6966573025283501810360942)/(125363590102829998862667725)*a^(26) - (263855195987873801462108157)/(1378999491131129987489344975)*a^(25) - (21368592164207700260936337)/(39399985460889428213981285)*a^(24) + (131541346886337882754125408)/(106076883933163845191488075)*a^(23) + (2324449655306970495162992064)/(1378999491131129987489344975)*a^(22) - (12919683496558889707069579)/(14216489599289999871024175)*a^(21) + (12062042870656350152745453937)/(1378999491131129987489344975)*a^(20) + (23519606582516636241842024687)/(1378999491131129987489344975)*a^(19) - (4262548254661633197820629592)/(1378999491131129987489344975)*a^(18) - (3115768968712615723981484177)/(275799898226225997497868995)*a^(17) + (26114907592773928094502907462)/(1378999491131129987489344975)*a^(16) + (7887924907123819895055160443)/(125363590102829998862667725)*a^(15) + (91090923402853040622372583102)/(1378999491131129987489344975)*a^(14) - (10215554299391001746230490353)/(196999927304447141069906425)*a^(13) - (257687530914132015644205159093)/(1378999491131129987489344975)*a^(12) - (197890905771279700907242494236)/(1378999491131129987489344975)*a^(11) - (28627741545080329614755439421)/(1378999491131129987489344975)*a^(10) - (12436328539801741479401391139)/(196999927304447141069906425)*a^(9) - (13784582852171143726736342546)/(106076883933163845191488075)*a^(8) - (3221684880926210326140951)/(1417265664060770799064075)*a^(7) + (249495670351483036491510893203)/(1378999491131129987489344975)*a^(6) + (7913042600300771295649658557)/(21215376786632769038297615)*a^(5) + (35797859612891321866749867694)/(106076883933163845191488075)*a^(4) - (519204893658100211945215002)/(125363590102829998862667725)*a^(3) - (6273776869171752739813037711)/(39399985460889428213981285)*a^(2) - (1117389814386712452768152532)/(17909084300404285551809675)*a + (1060834986937653061330319007)/(1378999491131129987489344975) ], 16112744313.230444, [[x^3 - x^2 + 2*x - 16, 1], [x^9 - 4*x^8 + 11*x^7 - 10*x^6 - 30*x^5 + 42*x^4 + 81*x^3 - 246*x^2 + 256*x - 88, 1]]]