Group GAP4(64,133)

Name: (C2 x Q16) : C2
Maximal quotients:GAP4(32,27) GAP4(32,42) GAP4(32,44)
Real polynomial:
x^64-480*x^62+96840*x^60-11107200*x^58+821294700*x^56-41975028000*x^54+15500\
02194000*x^52-42637413240000*x^50+893229143276250*x^48-14487385593600000*x^4\
6+184191118414875000*x^44-1853096753457000000*x^42+14858596237353750000*x^40\
-95457168461857500000*x^38+493203363051898125000*x^36-2054403231684300000000\
*x^34+6907376816833538671875*x^32-18746931908326500000000*x^30+4102639179615\
3796875000*x^28-72233272909400625000000*x^26+101965107838014843750000*x^24-1\
14850126471317187500000*x^22+102574809367611328125000*x^20-72050787581062500\
000000*x^18+39387837931475097656250*x^16-16531080137226562500000*x^14+523260\
5478574218750000*x^12-1219813773046875000000*x^10+202694801440429687500*x^8-\
22899427734375000000*x^6+1632240966796875000*x^4-64072265625000000*x^2+10011\
29150390625
Common denominator of the automorphisms:
5776139528296192222056389115383992480143530359399731445312500000000
Complex polynomial:
x^64-240*x^56+27036*x^48-274320*x^40+1358694*x^32-2468880*x^24+2189916*x^16-\
174960*x^8+6561
Common denominator of the automorphisms:
1441110528

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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