Group GAP4(96,220)

Name: C12 x C2 x C2 x C2
Maximal quotients:GAP4(32,45) GAP4(48,44) GAP4(48,52)
Real polynomial:
x^96-96*x^94+4463*x^92-133860*x^90+2911547*x^88-48942344*x^86+661688127*x^84\
-7393228652*x^82+69619336272*x^80-560665613952*x^78+3905255253043*x^76-23735\
668616996*x^74+126766452805698*x^72-598262826289360*x^70+2506190378608898*x^\
68-9352452900019208*x^66+31178309534458457*x^64-93055214957177408*x^62+24905\
2487770813635*x^60-598392235024209844*x^58+1291547224711080431*x^56-25047456\
92578325256*x^54+4363854719995724370*x^52-6826283397757111656*x^50+957836329\
8561393771*x^48-12039451209496442640*x^46+13532276822642711526*x^44-13571909\
897744317448*x^42+12113758807101512045*x^40-9592583036287905672*x^38+6714751\
385038188433*x^36-4137356433981293092*x^34+2232975997003694312*x^32-10496616\
82415032832*x^30+426941314936961291*x^28-149119805775344948*x^26+44330563910\
952466*x^24-11101137361852272*x^22+2313203383482818*x^20-395285000951720*x^1\
8+54427092723828*x^16-5909476079680*x^14+492416825328*x^12-30400084288*x^10+\
1325187872*x^8-37973248*x^6+632448*x^4-4608*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^96-x^94+x^92+x^86-x^84+2*x^82-x^80+x^78+x^72-x^70+x^68-x^66+x^64-x^62-x^56\
-x^52-x^48-x^44-x^40-x^34+x^32-x^30+x^28-x^26+x^24+x^18-x^16+2*x^14-x^12+x^1\
0+x^4-x^2+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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