Group GAP4(64,99)
Name: (C2 x (C8 : C2)) : C2
Maximal quotients:GAP4(32,22) GAP4(32,43)
Real polynomial:
x^64-480*x^62+106960*x^60-14722400*x^58+1404982200*x^56-98910812000*x^54+533\
6509206000*x^52-226303201260000*x^50+7676361081937500*x^48-21088920897830000\
0*x^46+4734198542131650000*x^44-87387801202227500000*x^42+133199407711166912\
5000*x^40-16807961801501227500000*x^38+175785853817049343750000*x^36-1523493\
010642612837500000*x^34+10926285085751282327343750*x^32-64671293877608751562\
500000*x^30+314621352728910725593750000*x^28-1250987351337579917812500000*x^\
26+4035087085536609948203125000*x^24-10455596457248847532812500000*x^22+2149\
0261180365416107031250000*x^20-34463432239332696851562500000*x^18+4218946757\
4734209256835937500*x^16-38274593910733865507812500000*x^14+2468715327892739\
0214843750000*x^12-10658193020274049414062500000*x^10+2812412825140772607421\
875000*x^8-397176351967915039062500000*x^6+26618540634840332031250000*x^4-67\
5834966020507812500000*x^2+3164018554840087890625
Common denominator of the automorphisms:
1003788281597051229751848404867179628480017968257826816000000000000000
Complex polynomial:
x^64+82*x^48+2497*x^32-1040*x^16+256
Common denominator of the automorphisms:
2610944
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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