Group GAP4(64,35)

Name: (C4 x C4) : C4
Maximal quotient:GAP4(32,6)
Real polynomial:
x^64-544*x^62+127488*x^60-17194752*x^58+1502400768*x^56-90727066624*x^54+394\
4478736384*x^52-126980245200896*x^50+3088687310860288*x^48-57622493475012608\
*x^46+833634375933886464*x^44-9427091602019188736*x^42+83786182763365531648*\
x^40-587276052506153582592*x^38+3251819193210916306944*x^36-1422781327038335\
2610816*x^34+49142053663908816748544*x^32-133707703149177478316032*x^30+2856\
45730548709635129344*x^28-476923560949827298656256*x^26+61831454302508771023\
2576*x^24-616882111378835013369856*x^22+467718094404667100364800*x^20-264835\
483434189204750336*x^18+109309948230570942136320*x^16-3181246759169407791923\
2*x^14+6246480688040774729728*x^12-784780015604974223360*x^10+59928745207366\
942720*x^8-2597192699853406208*x^6+56119073481687040*x^4-448600744132608*x^2\
+1099511627776
Common denominator of the automorphisms:
4488801207521634331209236082451888357013931248061076326137598992650106234085\
78232320
Complex polynomial:
x^64+544*x^62+127488*x^60+17194752*x^58+1502400768*x^56+90727066624*x^54+394\
4478736384*x^52+126980245200896*x^50+3088687310860288*x^48+57622493475012608\
*x^46+833634375933886464*x^44+9427091602019188736*x^42+83786182763365531648*\
x^40+587276052506153582592*x^38+3251819193210916306944*x^36+1422781327038335\
2610816*x^34+49142053663908816748544*x^32+133707703149177478316032*x^30+2856\
45730548709635129344*x^28+476923560949827298656256*x^26+61831454302508771023\
2576*x^24+616882111378835013369856*x^22+467718094404667100364800*x^20+264835\
483434189204750336*x^18+109309948230570942136320*x^16+3181246759169407791923\
2*x^14+6246480688040774729728*x^12+784780015604974223360*x^10+59928745207366\
942720*x^8+2597192699853406208*x^6+56119073481687040*x^4+448600744132608*x^2\
+1099511627776
Common denominator of the automorphisms:
4488801207521634331209236082451888357013931248061076326137598992650106234085\
78232320

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.