Group GAP4(64,138)

Name: (((C4 x C2) : C2) : C2) : C2
Maximal quotient:GAP4(32,27)
Real polynomial:

x^64-132*x^62+7828*x^60-279312*x^58+6768087*x^56-119082480*x^54+1587374812*x\
^52-16505605644*x^50+136726292401*x^48-916557301440*x^46+5031936031512*x^44-\
22832357308992*x^42+86228019123714*x^40-272474380619496*x^38+723206037685968\
*x^36-1616604456161376*x^34+3048023822262030*x^32-4849813368484128*x^30+6508\
854339173712*x^28-7356808276726392*x^26+6984469549020834*x^24-55482628260850\
56*x^22+3668281366972248*x^20-2004510818249280*x^18+897061204442961*x^16-324\
879835890852*x^14+93732895273788*x^12-21095104084560*x^10+3596838923367*x^8-\
445313545776*x^6+37441081332*x^4-1894055724*x^2+43046721

Common denominator of the automorphisms:

3121728135318989555899622060160

Complex polynomial:

x^64-536*x^56+87132*x^48+25688*x^40+924614*x^32+25688*x^24+87132*x^16-536*x^\
8+1

Common denominator of the automorphisms:

3266838528

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