Group GAP4(96,55)
Name: C3 x (C4 : C8)
Maximal quotients:GAP4(32,12) GAP4(48,22) GAP4(48,23) GAP4(48,24)
Real polynomial:
x^96-240*x^94+27312*x^92-1964000*x^90+100337544*x^88-3881874720*x^86+1183733\
69312*x^84-2923751669568*x^82+59650724470920*x^80-1020078017135424*x^78+1478\
6192945433408*x^76-183261022916476032*x^74+1955469634304235168*x^72-18061277\
589375501696*x^70+145014416394610760832*x^68-1015497590272034573056*x^66+621\
7970987706707547888*x^64-33352190811982262957568*x^62+1569109557380651678141\
44*x^60-647968126014600373668864*x^58+2349279313542499531452672*x^56-7476707\
838881450096473088*x^54+20874156448428136914693120*x^52-51071266053145356660\
000768*x^50+109339859799050565266437888*x^48-204453444377975379898460160*x^4\
6+333127916210516959756314624*x^44-471638688479870641410871296*x^42+57829323\
2117368091208311808*x^40-611702800142589820766957568*x^38+555681437785300992\
880840704*x^36-431253803872614141934854144*x^34+284205251425721372894260992*\
x^32-157933480880858058522275840*x^30+73402108664411796250128384*x^28-282599\
31090042958194499584*x^26+8911047914207106198104064*x^24-2270164530631521986\
519040*x^22+459536274474638544297984*x^20-72392394739687055966208*x^18+86427\
84695018018605056*x^16-755186249427012698112*x^14+46043463955424886784*x^12-\
1826483299777413120*x^10+41903649889394688*x^8-428172942737408*x^6+459923423\
232*x^4-111083520*x^2+4096
Common denominator of the automorphisms:
1061625203141765782237405090497750916788882828077756121484052881656645799240\
4026149437224589564494589378986027144561199787444047593851722628582400993967\
88445899345969010058293915632561944092835783376896
Complex polynomial:
x^96+240*x^94+27312*x^92+1964000*x^90+100337544*x^88+3881874720*x^86+1183733\
69312*x^84+2923751669568*x^82+59650724470920*x^80+1020078017135424*x^78+1478\
6192945433408*x^76+183261022916476032*x^74+1955469634304235168*x^72+18061277\
589375501696*x^70+145014416394610760832*x^68+1015497590272034573056*x^66+621\
7970987706707547888*x^64+33352190811982262957568*x^62+1569109557380651678141\
44*x^60+647968126014600373668864*x^58+2349279313542499531452672*x^56+7476707\
838881450096473088*x^54+20874156448428136914693120*x^52+51071266053145356660\
000768*x^50+109339859799050565266437888*x^48+204453444377975379898460160*x^4\
6+333127916210516959756314624*x^44+471638688479870641410871296*x^42+57829323\
2117368091208311808*x^40+611702800142589820766957568*x^38+555681437785300992\
880840704*x^36+431253803872614141934854144*x^34+284205251425721372894260992*\
x^32+157933480880858058522275840*x^30+73402108664411796250128384*x^28+282599\
31090042958194499584*x^26+8911047914207106198104064*x^24+2270164530631521986\
519040*x^22+459536274474638544297984*x^20+72392394739687055966208*x^18+86427\
84695018018605056*x^16+755186249427012698112*x^14+46043463955424886784*x^12+\
1826483299777413120*x^10+41903649889394688*x^8+428172942737408*x^6+459923423\
232*x^4+111083520*x^2+4096
Common denominator of the automorphisms:
1061625203141765782237405090497750916788882828077756121484052881656645799240\
4026149437224589564494589378986027144561199787444047593851722628582400993967\
88445899345969010058293915632561944092835783376896
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.