Group GAP4(88,10)

Name: C11 x Q8
Maximal quotients:GAP4(8,4) GAP4(44,4)
Real polynomial:
x^88-252*x^86+29556*x^84-2149416*x^82+108971613*x^80-4106414772*x^78+1197731\
40588*x^76-2780526835800*x^74+52434010127322*x^72-815700196407960*x^70+10595\
263192091928*x^68-116013389195253168*x^66+1079070427921239153*x^64-857869480\
9837755828*x^62+58584744020581013916*x^60-345039446239180426296*x^58+1758067\
229108615852664*x^56-7768337392625723608320*x^54+29820048073563951702864*x^5\
2-99559695444227062261920*x^50+289284891786141840319932*x^48-731617442259925\
200680304*x^46+1609870461232071160338768*x^44-3079374623698386062310948*x^42\
+5113202365457275725942480*x^40-7356015041665815538792740*x^38+9145749772600\
109086035168*x^36-9796083895751758043170248*x^34+9004471406895765545044155*x\
^32-7069586510911165669689768*x^30+4714120754406267098414868*x^28-2651720998\
998406867708536*x^26+1248064863794155792640439*x^24-486716798100132079677684\
*x^22+155421194828080916983932*x^20-40058120731868972130456*x^18+81871415186\
97698198739*x^16-1297914345999178459344*x^14+155182425054655793652*x^12-1349\
1886588930204884*x^10+812417690089158318*x^8-31684451693299812*x^6+726283243\
590696*x^4-8284599736776*x^2+31381059609
Common denominator of the automorphisms:
3682191854908118341826272831096709088821414258589622954021870387398356664299\
24826968586735801503612127080482364498187768459
Complex polynomial:
x^88+252*x^86+29556*x^84+2149416*x^82+108971613*x^80+4106414772*x^78+1197731\
40588*x^76+2780526835800*x^74+52434010127322*x^72+815700196407960*x^70+10595\
263192091928*x^68+116013389195253168*x^66+1079070427921239153*x^64+857869480\
9837755828*x^62+58584744020581013916*x^60+345039446239180426296*x^58+1758067\
229108615852664*x^56+7768337392625723608320*x^54+29820048073563951702864*x^5\
2+99559695444227062261920*x^50+289284891786141840319932*x^48+731617442259925\
200680304*x^46+1609870461232071160338768*x^44+3079374623698386062310948*x^42\
+5113202365457275725942480*x^40+7356015041665815538792740*x^38+9145749772600\
109086035168*x^36+9796083895751758043170248*x^34+9004471406895765545044155*x\
^32+7069586510911165669689768*x^30+4714120754406267098414868*x^28+2651720998\
998406867708536*x^26+1248064863794155792640439*x^24+486716798100132079677684\
*x^22+155421194828080916983932*x^20+40058120731868972130456*x^18+81871415186\
97698198739*x^16+1297914345999178459344*x^14+155182425054655793652*x^12+1349\
1886588930204884*x^10+812417690089158318*x^8+31684451693299812*x^6+726283243\
590696*x^4+8284599736776*x^2+31381059609
Common denominator of the automorphisms:
3682191854908118341826272831096709088821414258589622954021870387398356664299\
24826968586735801503612127080482364498187768459

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.