Group GAP4(78,2)

Name: C2 x (C13 : C3)
Maximal quotients:GAP4(6,2) GAP4(39,1)
Real polynomial:
x^78-234*x^76+25467*x^74-1721499*x^72+81413631*x^70-2875617576*x^68+79050361\
767*x^66-1739582178360*x^64+31271734787670*x^62-466199192863989*x^60+5830206\
556944861*x^58-61706104566758145*x^56+556517377388867661*x^54-42996622664752\
17057*x^52+28572562477762555707*x^50-163805048504548823853*x^48+811878065465\
486527755*x^46-3483614920406976641403*x^44+12949120212782241752199*x^42-4170\
1021669753484949261*x^40+116284787094017950820919*x^38-280478856311482012309\
593*x^36+584211209108827176512181*x^34-1048524145848636692915511*x^32+161700\
6243778934675085783*x^30-2135344298187387049372467*x^28+24044404811861791386\
88479*x^26-2296782921769258452016851*x^24+1849532202031165932371832*x^22-124\
5896513686344703298661*x^20+695317284322737855603318*x^18-317558850080024652\
938982*x^16+116803571737578945595974*x^14-33867390049591158388575*x^12+75148\
20994798083132270*x^10-1222319558928699254907*x^8+136398346756655509305*x^6-\
9351658400517814680*x^4+323010725975542800*x^2-4206452374957248
Common denominator of the automorphisms:
4202958558371306660940615445793600883381115711279103796657876046999605035163\
1569036794823584138346423302419749253595306179968531233558483426864159635644\
4118631934725154807673046566559088153639622394880079234722103317078184203512\
695866909138944
Complex polynomial:
x^78+234*x^76+25467*x^74+1721499*x^72+81413631*x^70+2875617576*x^68+79050361\
767*x^66+1739582178360*x^64+31271734787670*x^62+466199192863989*x^60+5830206\
556944861*x^58+61706104566758145*x^56+556517377388867661*x^54+42996622664752\
17057*x^52+28572562477762555707*x^50+163805048504548823853*x^48+811878065465\
486527755*x^46+3483614920406976641403*x^44+12949120212782241752199*x^42+4170\
1021669753484949261*x^40+116284787094017950820919*x^38+280478856311482012309\
593*x^36+584211209108827176512181*x^34+1048524145848636692915511*x^32+161700\
6243778934675085783*x^30+2135344298187387049372467*x^28+24044404811861791386\
88479*x^26+2296782921769258452016851*x^24+1849532202031165932371832*x^22+124\
5896513686344703298661*x^20+695317284322737855603318*x^18+317558850080024652\
938982*x^16+116803571737578945595974*x^14+33867390049591158388575*x^12+75148\
20994798083132270*x^10+1222319558928699254907*x^8+136398346756655509305*x^6+\
9351658400517814680*x^4+323010725975542800*x^2+4206452374957248
Common denominator of the automorphisms:
4202958558371306660940615445793600883381115711279103796657876046999605035163\
1569036794823584138346423302419749253595306179968531233558483426864159635644\
4118631934725154807673046566559088153639622394880079234722103317078184203512\
695866909138944

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.