Group GAP4(64,208)

Name: C2 x ((C2 x C2) . (C2 x C2 x C2))
Maximal quotients:GAP4(32,32) GAP4(32,47) GAP4(32,48)
Real polynomial:
x^64-840*x^62+299460*x^60-61210800*x^58+8122439675*x^56-748950447000*x^54+50\
092621918500*x^52-2503239033855000*x^50+95505850698986875*x^48-2828062933276\
875000*x^46+65831992285790587500*x^44-1216952112643254750000*x^42+1800971247\
1650513031250*x^40-214746744498629214375000*x^38+2073555012010314485625000*x\
^36-16274893633060502343750000*x^34+104106855964924869068359375*x^32-5435770\
44405937465875000000*x^30+2317616454891051467179687500*x^28-8063007471662025\
152812500000*x^26+22843637507389943594082031250*x^24-52527083515369790701171\
875000*x^22+97542093729873453043359375000*x^20-14527585534919445605859375000\
0*x^18+171925054448501641297363281250*x^16-159667731869711347324218750000*x^\
14+114438309648218355966796875000*x^12-61877390627401900195312500000*x^10+24\
450587545245539624023437500*x^8-6738848295607568847656250000*x^6+12031173943\
65437988281250000*x^4-121702626597659912109375000*x^2+5070942774902496337890\
625
Common denominator of the automorphisms:
3365989421734553386373535505187926579450512966501537887557398709306236167907\
71484375
Complex polynomial:
x^64+33553800*x^56+4554547177500*x^48+138035046931875000*x^40+70164014393640\
2343750*x^32+6988024250926171875000*x^24+11672806262334960937500*x^16+435348\
2672314453125000*x^8+6568408355712890625
Common denominator of the automorphisms:
27524083204390311486224640000000000000000

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.