Group GAP4(64,5)
Name: (C4 x C2) : C8
Maximal quotients:GAP4(32,5) GAP4(32,6) GAP4(32,8)
Real polynomial:
x^64-448*x^62+90720*x^60-11096736*x^58+922416768*x^56-55499123232*x^54+25110\
45485760*x^52-87558833220320*x^50+2391298206396036*x^48-51688955536585024*x^\
46+889907453364219808*x^44-12242094033334459616*x^42+134650458013007938176*x\
^40-1182376029646146480992*x^38+8261391165093735530176*x^36-4570215130728086\
0737184*x^34+198873113301156878516870*x^32-675315170293496574307648*x^30+177\
2745438432603442194464*x^28-3558823182319424292588000*x^26+53973337912041130\
72073088*x^24-6099379184642886318856288*x^22+5056428719320467782147904*x^20-\
3020191828578396162708640*x^18+1272274298945962195726724*x^16-36807904217179\
7406973376*x^14+70611593882214559767264*x^12-8573790702097600135072*x^10+625\
023558858661076352*x^8-26546085134076483360*x^6+628045417027339584*x^4-74441\
76447590624*x^2+33232930569601
Common denominator of the automorphisms:
1395363971704389344019623792126504445034351132995498906937747155693738869196\
8188382243853474143246442218609070739456
Complex polynomial:
x^64+448*x^62+90720*x^60+11096736*x^58+922416768*x^56+55499123232*x^54+25110\
45485760*x^52+87558833220320*x^50+2391298206396036*x^48+51688955536585024*x^\
46+889907453364219808*x^44+12242094033334459616*x^42+134650458013007938176*x\
^40+1182376029646146480992*x^38+8261391165093735530176*x^36+4570215130728086\
0737184*x^34+198873113301156878516870*x^32+675315170293496574307648*x^30+177\
2745438432603442194464*x^28+3558823182319424292588000*x^26+53973337912041130\
72073088*x^24+6099379184642886318856288*x^22+5056428719320467782147904*x^20+\
3020191828578396162708640*x^18+1272274298945962195726724*x^16+36807904217179\
7406973376*x^14+70611593882214559767264*x^12+8573790702097600135072*x^10+625\
023558858661076352*x^8+26546085134076483360*x^6+628045417027339584*x^4+74441\
76447590624*x^2+33232930569601
Common denominator of the automorphisms:
1395363971704389344019623792126504445034351132995498906937747155693738869196\
8188382243853474143246442218609070739456
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.