Group GAP4(64,262)

Name: C2 x C2 x C2 x Q8
Maximal quotients:GAP4(32,47) GAP4(32,51)
Real polynomial:
x^64-5460*x^62+12203100*x^60-15502032000*x^58+12813747576175*x^56-7416255432\
222000*x^54+3146843809887277500*x^52-1010373140613065092500*x^50+25121594730\
5121556200625*x^48-49223422614038160811050000*x^46+7703579599016879551837500\
000*x^44-972961196886471141395046000000*x^42+9995243121455703314658459550000\
0*x^40-8400923247433870929557024880000000*x^38+58012014016497169952386834680\
0000000*x^36-33005292963468947729530996928400000000*x^34+1549603053761770730\
420534027545900000000*x^32-60069633193513484867746414409688000000000*x^30+19\
21589952282452257502861511940320000000000*x^28-50645537059935916402057734366\
771840000000000*x^26+1096677451582948988848439347138124080000000000*x^24-194\
29090009348096881087870780581587200000000000*x^22+27997606303564941376228789\
8379221600000000000000*x^20-325590349392461117693773308151632326400000000000\
0*x^18+30242543154551876962240330568053117456000000000000*x^16-2213728133729\
56439991170961507913224960000000000000*x^14+12548420615887865161642596460701\
26361600000000000000*x^12-53823253611791948706632724659615748096000000000000\
00*x^10+16925161452429025294752799003057152716800000000000000*x^8-3726633407\
1539152522241255580063498240000000000000000*x^6+5339119016018590120974949116\
7590973440000000000000000*x^4-4347738975012901127594813151007408128000000000\
0000000*x^2+14492463250043003758649377170024693760000000000000000
Common denominator of the automorphisms:
1532085550159059977664077450690821067408424663460756141195016601600000000000\
000000
Complex polynomial:
x^64+46718658*x^56+5336487265473*x^48+112092641295005826*x^40+42816259049029\
3042020*x^32+21799888971694028046306*x^24+201841207323752750142753*x^16+3436\
54389811463586647778*x^8+1430568690241985328321
Common denominator of the automorphisms:
19839593861434777015162978393725532800000

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.