Group GAP4(64,232)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,49)
Real polynomial:
x^64-144*x^62+8828*x^60-308304*x^58+6953409*x^56-108731664*x^54+1233613300*x\
^52-10476522504*x^50+68113881104*x^48-344760617664*x^46+1376033283144*x^44-4\
374069545448*x^42+11159534820799*x^40-22987549593864*x^38+38401331849144*x^3\
6-52183973386944*x^34+57789368593695*x^32-52183973386944*x^30+38401331849144\
*x^28-22987549593864*x^26+11159534820799*x^24-4374069545448*x^22+13760332831\
44*x^20-344760617664*x^18+68113881104*x^16-10476522504*x^14+1233613300*x^12-\
108731664*x^10+6953409*x^8-308304*x^6+8828*x^4-144*x^2+1
Common denominator of the automorphisms:
114783691716956204717722499698700625
Complex polynomial:
x^64+91*x^56+2451*x^48-343*x^40+10976*x^32-343*x^24+2451*x^16+91*x^8+1
Common denominator of the automorphisms:
50545209344

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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