Group GAP4(64,172)

Name: (C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)
Maximal quotients:GAP4(32,31) GAP4(32,44)
Real polynomial:
x^64-1008*x^62+459312*x^60-125879040*x^58+23299801056*x^56-3101944833792*x^5\
4+308949198050304*x^52-23643370496825856*x^50+1416982428640171008*x^48-67435\
669962463961088*x^46+2574667086945062086656*x^44-79445913417747053420544*x^4\
2+1991466575059344762839040*x^40-40685349368686705240965120*x^38+67853169222\
0662915248029696*x^36-9239272892342869975346184192*x^34+10259361120905354848\
0474497024*x^32-926677142340891404928153550848*x^30+678267103439026979428878\
6997248*x^28-40019825377942689950375469907968*x^26+1890752406755813103547725\
04608768*x^24-709289800229199090267757398196224*x^22+20908845242470831337771\
74446735360*x^20-4782074725785445152226226592546816*x^18+8353547500078672483\
381904721051648*x^16-10929911116817005954683811418603520*x^14+10449248684417\
465800294136882921472*x^12-7067251035844515802436483860660224*x^10+323874177\
8461066037697196326912000*x^8-947676759499923074625734594002944*x^6+16216420\
0047185046036219017822208*x^4-13824552913359482950313664577536*x^2+384015358\
704430081953157349376
Common denominator of the automorphisms:
3161267210017631815717947273266590683837691156765475784595475544587225320051\
8090408553247340104915650893077312773924633706496
Complex polynomial:
x^64+1008*x^62+459312*x^60+125879040*x^58+23299801056*x^56+3101944833792*x^5\
4+308949198050304*x^52+23643370496825856*x^50+1416982428640171008*x^48+67435\
669962463961088*x^46+2574667086945062086656*x^44+79445913417747053420544*x^4\
2+1991466575059344762839040*x^40+40685349368686705240965120*x^38+67853169222\
0662915248029696*x^36+9239272892342869975346184192*x^34+10259361120905354848\
0474497024*x^32+926677142340891404928153550848*x^30+678267103439026979428878\
6997248*x^28+40019825377942689950375469907968*x^26+1890752406755813103547725\
04608768*x^24+709289800229199090267757398196224*x^22+20908845242470831337771\
74446735360*x^20+4782074725785445152226226592546816*x^18+8353547500078672483\
381904721051648*x^16+10929911116817005954683811418603520*x^14+10449248684417\
465800294136882921472*x^12+7067251035844515802436483860660224*x^10+323874177\
8461066037697196326912000*x^8+947676759499923074625734594002944*x^6+16216420\
0047185046036219017822208*x^4+13824552913359482950313664577536*x^2+384015358\
704430081953157349376
Common denominator of the automorphisms:
3161267210017631815717947273266590683837691156765475784595475544587225320051\
8090408553247340104915650893077312773924633706496

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.