Group GAP4(48,22)

Name: C3 x (C4 : C4)
Maximal quotients:GAP4(16,4) GAP4(24,9) GAP4(24,10) GAP4(24,11)
Real polynomial:
x^48-336*x^46+52836*x^44-5165776*x^42+351860915*x^40-17731286216*x^38+685220\
912544*x^36-20772221612352*x^34+501144018744677*x^32-9706653406214240*x^30+1\
51615099160868028*x^28-1911556777382414064*x^26+19410478822576627436*x^24-15\
7901610649318533088*x^22+1020309970021861848784*x^20-5173496520229756485312*\
x^18+20246358863031995539846*x^16-59810960093391183037088*x^14+1294546166035\
83271388024*x^12-197041236775206903791712*x^10+198954076674962052505061*x^8-\
122017948473021299666968*x^6+39263713260124619672224*x^4-4953641013955414103\
232*x^2+178561512605532362761
Common denominator of the automorphisms:
471406013616996040219
Complex polynomial:
x^48+336*x^46+52836*x^44+5165776*x^42+351860915*x^40+17731286216*x^38+685220\
912544*x^36+20772221612352*x^34+501144018744677*x^32+9706653406214240*x^30+1\
51615099160868028*x^28+1911556777382414064*x^26+19410478822576627436*x^24+15\
7901610649318533088*x^22+1020309970021861848784*x^20+5173496520229756485312*\
x^18+20246358863031995539846*x^16+59810960093391183037088*x^14+1294546166035\
83271388024*x^12+197041236775206903791712*x^10+198954076674962052505061*x^8+\
122017948473021299666968*x^6+39263713260124619672224*x^4+4953641013955414103\
232*x^2+178561512605532362761
Common denominator of the automorphisms:
471406013616996040219

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.