Group GAP4(64,170)

Name: (Q8 : C4) : C2
Maximal quotients:GAP4(32,31) GAP4(32,43) GAP4(32,44)
Real polynomial:
x^64-240*x^62+25530*x^60-1604000*x^58+66957795*x^56-1981319100*x^54+43303678\
150*x^52-719286563100*x^50+9272488579875*x^48-94267888890500*x^46+7652862630\
63750*x^44-5009775902931000*x^42+26645853512319250*x^40-115803642989227500*x\
^38+412890008203695000*x^36-1210704363587127500*x^34+2922627091699021875*x^3\
2-5805774158970937500*x^30+9473014399108543750*x^28-12652739069081662500*x^2\
6+13764303872500256250*x^24-12111290622419937500*x^22+8541721204373812500*x^\
20-4772546442715312500*x^18+2081423781085843750*x^16-695327366116875000*x^14\
+173678278263750000*x^12-31427958425625000*x^10+3947867550000000*x^8-3240277\
59375000*x^6+15852965625000*x^4-396773437500*x^2+3828515625
Common denominator of the automorphisms:
3487437842721233267557868228079331205058702544398120404041974484352183105798\
7663001424414267812500
Complex polynomial:
x^64+96*x^60+3472*x^56+46752*x^52+791524*x^48+11382816*x^44+76217776*x^40+41\
46912*x^36+1552875718*x^32-4146912*x^28+76217776*x^24-11382816*x^20+791524*x\
^16-46752*x^12+3472*x^8-96*x^4+1
Common denominator of the automorphisms:
9860259104580230400000

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