Group GAP4(56,1)

Name: C7 : C8
Maximal quotients:GAP4(8,1) GAP4(28,1)
Real polynomial:
x^56-2308*x^54+2282612*x^52-1301628912*x^50+483714185088*x^48-12529561850144\
0*x^46+23604078291211328*x^44-3329912481857826944*x^42+359296685325337486592\
*x^40-30121126177782350686720*x^38+1985174687517626337009664*x^36-1037596254\
03895443190087680*x^34+4327991362142526268975857664*x^32-1446774666290380619\
23707928576*x^30+3885188472712946424904145846272*x^28-8387558550481825281209\
8097577984*x^26+1454401168025130946497929831776256*x^24-20204575970494984704\
179292266037248*x^22+223893878175700386960979723366170624*x^20-1966447430144\
702234506171885153157120*x^18+13568548026960292418814789375988072448*x^16-72\
685072264815165750698521548034146304*x^14+2975455665020859401542608855192400\
03584*x^12-911202834494450359989364268111253995520*x^10+20268644136292371915\
49302131892909244416*x^8-3136987468918026759529340462052252057600*x^6+315574\
1472270710636273889076390247006208*x^4-1822733602535946544267713392715164024\
832*x^2+447907233387672870946332301281542012928
Common denominator of the automorphisms:
1905953541100079634856812246838646971108208206131973506960165052116419383419\
6692975696498058350614977721629937037205581984684586224590354489027712274094\
054440960
Complex polynomial:
x^56+2308*x^54+2282612*x^52+1301628912*x^50+483714185088*x^48+12529561850144\
0*x^46+23604078291211328*x^44+3329912481857826944*x^42+359296685325337486592\
*x^40+30121126177782350686720*x^38+1985174687517626337009664*x^36+1037596254\
03895443190087680*x^34+4327991362142526268975857664*x^32+1446774666290380619\
23707928576*x^30+3885188472712946424904145846272*x^28+8387558550481825281209\
8097577984*x^26+1454401168025130946497929831776256*x^24+20204575970494984704\
179292266037248*x^22+223893878175700386960979723366170624*x^20+1966447430144\
702234506171885153157120*x^18+13568548026960292418814789375988072448*x^16+72\
685072264815165750698521548034146304*x^14+2975455665020859401542608855192400\
03584*x^12+911202834494450359989364268111253995520*x^10+20268644136292371915\
49302131892909244416*x^8+3136987468918026759529340462052252057600*x^6+315574\
1472270710636273889076390247006208*x^4+1822733602535946544267713392715164024\
832*x^2+447907233387672870946332301281542012928
Common denominator of the automorphisms:
1905953541100079634856812246838646971108208206131973506960165052116419383419\
6692975696498058350614977721629937037205581984684586224590354489027712274094\
054440960

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.