Group GAP4(64,114)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,24) GAP4(32,38)
Real polynomial:

x^64-480*x^62+104400*x^60-13746240*x^58+1233635040*x^56-80490326400*x^54+397\
5290308800*x^52-152732439302400*x^50+4654890473803200*x^48-11417537746886400\
0*x^46+2278513775762208000*x^44-37303042813554816000*x^42+504155440668992832\
000*x^40-5650711561220463360000*x^38+52690142778534391680000*x^36-4094988868\
42441228800000*x^34+2654342596272202891200000*x^32-1434203884477794286080000\
0*x^30+64484900134346092377600000*x^28-240538587011187432192000000*x^26+7410\
75949851879508300800000*x^24-1874382784835077366272000000*x^22+3860966211351\
400012032000000*x^20-6409948381753581775872000000*x^18+846172363035036474547\
2000000*x^16-8725808215340756305920000000*x^14+6864480653733722004480000000*\
x^12-3987774828845894430720000000*x^10+1632800754622344591360000000*x^8-4389\
25720326276096000000000*x^6+68752768513735987200000000*x^4-49211264906293248\
00000000*x^2+62947116806169600000000

Common denominator of the automorphisms:

2512932558128633219996417709637206977137501084600218722961053046737008271560\
354352332800000000

Complex polynomial:

x^64+768*x^56+453508*x^48+43180800*x^40+1548015366*x^32-43180800*x^24+453508\
*x^16-768*x^8+1

Common denominator of the automorphisms:

294965695232000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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