Group GAP4(64,122)
Name: Q16 : C4
Maximal quotients:GAP4(32,25) GAP4(32,44)
Real polynomial:
x^64-192*x^62+17568*x^60-1019520*x^58+42131676*x^56-1319651424*x^54+32559096\
528*x^52-649228312512*x^50+10651553826426*x^48-145639438552224*x^46+16749228\
21206832*x^44-16307859539653056*x^42+135023677732167696*x^40-953248899971965\
824*x^38+5745239175305568960*x^36-29556064271185194240*x^34+1295957253829528\
83843*x^32-483002100692576612640*x^30+1523870714370199019760*x^28-4047489983\
524093705152*x^26+8985812828648862019536*x^24-16525310345394167002752*x^22+2\
4893927149975603242048*x^20-30294355815129821928192*x^18+2927456157431988788\
3226*x^16-21987801771104340121824*x^14+12494344840480632094992*x^12-51877636\
23118143696192*x^10+1502211081063677383836*x^8-283567347515314680480*x^6+311\
46155438884525872*x^4-1543354925530003776*x^2+8057044481403681
Common denominator of the automorphisms:
86915483380444378651200
Complex polynomial:
x^64+192*x^62+17568*x^60+1019520*x^58+42131676*x^56+1319651424*x^54+32559096\
528*x^52+649228312512*x^50+10651553826426*x^48+145639438552224*x^46+16749228\
21206832*x^44+16307859539653056*x^42+135023677732167696*x^40+953248899971965\
824*x^38+5745239175305568960*x^36+29556064271185194240*x^34+1295957253829528\
83843*x^32+483002100692576612640*x^30+1523870714370199019760*x^28+4047489983\
524093705152*x^26+8985812828648862019536*x^24+16525310345394167002752*x^22+2\
4893927149975603242048*x^20+30294355815129821928192*x^18+2927456157431988788\
3226*x^16+21987801771104340121824*x^14+12494344840480632094992*x^12+51877636\
23118143696192*x^10+1502211081063677383836*x^8+283567347515314680480*x^6+311\
46155438884525872*x^4+1543354925530003776*x^2+8057044481403681
Common denominator of the automorphisms:
86915483380444378651200
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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