Group GAP4(64,109)

Name: (C8 : C4) : C2
Maximal quotients:GAP4(32,23) GAP4(32,43) GAP4(32,44)
Real polynomial:
x^64-192*x^62+17568*x^60-1019520*x^58+42131772*x^56-1319667552*x^54+32560378\
704*x^52-649292469696*x^50+10653820915761*x^48-145699609363344*x^46+16761683\
33645688*x^44-16328469551503968*x^42+135300924284433948*x^40-956315863807566\
624*x^38+5773355055658167984*x^36-29770683642946840896*x^34+1309630995041261\
91930*x^32-490275131850418636224*x^30+1556111261062689968160*x^28-4166160445\
455618420864*x^26+9346416541791481283724*x^24-17422657985879193960288*x^22+2\
6703066595587035606352*x^20-33208469092864239671232*x^18+3295812049571747167\
2288*x^16-25558329717964408582656*x^14+15070461253778682786816*x^12-65188520\
34044513918976*x^10+1970943538161313393488*x^8-389541594432137793408*x^6+457\
31779843414805568*x^4-2759548958430803712*x^2+64800915279737121
Common denominator of the automorphisms:
149939487338292225
Complex polynomial:
x^64+192*x^62+17568*x^60+1019520*x^58+42131772*x^56+1319667552*x^54+32560378\
704*x^52+649292469696*x^50+10653820915761*x^48+145699609363344*x^46+16761683\
33645688*x^44+16328469551503968*x^42+135300924284433948*x^40+956315863807566\
624*x^38+5773355055658167984*x^36+29770683642946840896*x^34+1309630995041261\
91930*x^32+490275131850418636224*x^30+1556111261062689968160*x^28+4166160445\
455618420864*x^26+9346416541791481283724*x^24+17422657985879193960288*x^22+2\
6703066595587035606352*x^20+33208469092864239671232*x^18+3295812049571747167\
2288*x^16+25558329717964408582656*x^14+15070461253778682786816*x^12+65188520\
34044513918976*x^10+1970943538161313393488*x^8+389541594432137793408*x^6+457\
31779843414805568*x^4+2759548958430803712*x^2+64800915279737121
Common denominator of the automorphisms:
149939487338292225

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.