Group GAP4(112,42)
Name: C2 x C2 x C2 x D14
Maximal quotients:GAP4(16,14) GAP4(56,12)
Real polynomial:
x^112-1128*x^110+481254*x^108-108429504*x^106+15068360467*x^104-141062460662\
4*x^102+94080623441150*x^100-4645454843160468*x^98+174648665296697341*x^96-5\
107611280735679232*x^94+118188391477806868856*x^92-2194138865618618277936*x^\
90+33059403212809252835032*x^88-408208034067404146089444*x^86+41648336043473\
87552303183*x^84-35358287895384041474329128*x^82+251287897543473387594481672\
*x^80-1502720660961913318399745160*x^78+7595144914677232989178349695*x^76-32\
568594000885335140924076556*x^74+118873629234665238724432758676*x^72-3703449\
60460143041641935239004*x^70+987159349669637997693139426528*x^68-22557234488\
14136522545778517324*x^66+4425950292152237561965726580126*x^64-7466400335304\
981494233831844532*x^62+10839979481303620545180739146214*x^60-13553750568349\
846837276138754040*x^58+14601026026204776796505125622651*x^56-13553750568349\
846837276138754040*x^54+10839979481303620545180739146214*x^52-74664003353049\
81494233831844532*x^50+4425950292152237561965726580126*x^48-2255723448814136\
522545778517324*x^46+987159349669637997693139426528*x^44-3703449604601430416\
41935239004*x^42+118873629234665238724432758676*x^40-32568594000885335140924\
076556*x^38+7595144914677232989178349695*x^36-1502720660961913318399745160*x\
^34+251287897543473387594481672*x^32-35358287895384041474329128*x^30+4164833\
604347387552303183*x^28-408208034067404146089444*x^26+3305940321280925283503\
2*x^24-2194138865618618277936*x^22+118188391477806868856*x^20-51076112807356\
79232*x^18+174648665296697341*x^16-4645454843160468*x^14+94080623441150*x^12\
-1410624606624*x^10+15068360467*x^8-108429504*x^6+481254*x^4-1128*x^2+1
Common denominator of the automorphisms:
8233037238394692777183247218074434109793153097875154378819605165748904259917\
3701874199049389954546220040913554656749159068960748939469836406203228189566\
608689437009804749599661829277
Complex polynomial:
x^112+1128*x^110+481254*x^108+108429504*x^106+15068360467*x^104+141062460662\
4*x^102+94080623441150*x^100+4645454843160468*x^98+174648665296697341*x^96+5\
107611280735679232*x^94+118188391477806868856*x^92+2194138865618618277936*x^\
90+33059403212809252835032*x^88+408208034067404146089444*x^86+41648336043473\
87552303183*x^84+35358287895384041474329128*x^82+251287897543473387594481672\
*x^80+1502720660961913318399745160*x^78+7595144914677232989178349695*x^76+32\
568594000885335140924076556*x^74+118873629234665238724432758676*x^72+3703449\
60460143041641935239004*x^70+987159349669637997693139426528*x^68+22557234488\
14136522545778517324*x^66+4425950292152237561965726580126*x^64+7466400335304\
981494233831844532*x^62+10839979481303620545180739146214*x^60+13553750568349\
846837276138754040*x^58+14601026026204776796505125622651*x^56+13553750568349\
846837276138754040*x^54+10839979481303620545180739146214*x^52+74664003353049\
81494233831844532*x^50+4425950292152237561965726580126*x^48+2255723448814136\
522545778517324*x^46+987159349669637997693139426528*x^44+3703449604601430416\
41935239004*x^42+118873629234665238724432758676*x^40+32568594000885335140924\
076556*x^38+7595144914677232989178349695*x^36+1502720660961913318399745160*x\
^34+251287897543473387594481672*x^32+35358287895384041474329128*x^30+4164833\
604347387552303183*x^28+408208034067404146089444*x^26+3305940321280925283503\
2*x^24+2194138865618618277936*x^22+118188391477806868856*x^20+51076112807356\
79232*x^18+174648665296697341*x^16+4645454843160468*x^14+94080623441150*x^12\
+1410624606624*x^10+15068360467*x^8+108429504*x^6+481254*x^4+1128*x^2+1
Common denominator of the automorphisms:
8233037238394692777183247218074434109793153097875154378819605165748904259917\
3701874199049389954546220040913554656749159068960748939469836406203228189566\
608689437009804749599661829277
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.