Group GAP4(56,3)

Name: C7 : Q8
Maximal quotients:GAP4(8,4) GAP4(28,3)
Real polynomial:
x^56-4616*x^54+9116600*x^52-10371404208*x^50+7684480737760*x^48-396708390708\
7488*x^46+1489193760271493008*x^44-418607414751992369824*x^42+90003625967581\
594083840*x^40-15036901657095226968142208*x^38+1975278906192683417484736128*\
x^36-205813158627823968382206027264*x^34+17117092340443621430547216118336*x^\
32-1141151848914996185569180968193792*x^30+611332269078851610544876291035756\
80*x^28-2633778467295811196293669674591271936*x^26+9118042297298487102801046\
5840983778304*x^24-2530349732111310018842415004813651181568*x^22+56049487244\
242741854899924174284342591488*x^20-9847758321388659345611911106085209279037\
44*x^18+13604257169663643237843417096723584212008960*x^16-146035199426010870\
253790076395820954744782848*x^14+1199050967168123619888337491358615431443120\
128*x^12-7372140892071267973059092788764780699649572864*x^10+329588895587902\
66539155050193520968499189514240*x^8-102667127178884097200593452979308418637\
009780736*x^6+208287186623827521285230682726383283829578137600*x^4-243405988\
216604516013322742143034237508185489408*x^2+12170299410830225800666137107151\
7118754092744704
Common denominator of the automorphisms:
9987752901043803468516023925850408559046168672224659183454055137894074350043\
1360000
Complex polynomial:
x^56+4616*x^54+9116600*x^52+10371404208*x^50+7684480737760*x^48+396708390708\
7488*x^46+1489193760271493008*x^44+418607414751992369824*x^42+90003625967581\
594083840*x^40+15036901657095226968142208*x^38+1975278906192683417484736128*\
x^36+205813158627823968382206027264*x^34+17117092340443621430547216118336*x^\
32+1141151848914996185569180968193792*x^30+611332269078851610544876291035756\
80*x^28+2633778467295811196293669674591271936*x^26+9118042297298487102801046\
5840983778304*x^24+2530349732111310018842415004813651181568*x^22+56049487244\
242741854899924174284342591488*x^20+9847758321388659345611911106085209279037\
44*x^18+13604257169663643237843417096723584212008960*x^16+146035199426010870\
253790076395820954744782848*x^14+1199050967168123619888337491358615431443120\
128*x^12+7372140892071267973059092788764780699649572864*x^10+329588895587902\
66539155050193520968499189514240*x^8+102667127178884097200593452979308418637\
009780736*x^6+208287186623827521285230682726383283829578137600*x^4+243405988\
216604516013322742143034237508185489408*x^2+12170299410830225800666137107151\
7118754092744704
Common denominator of the automorphisms:
9987752901043803468516023925850408559046168672224659183454055137894074350043\
1360000

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.