Group GAP4(64,142)

Name: (Q8 : C4) : C2
Maximal quotients:GAP4(32,28) GAP4(32,40) GAP4(32,44)
Real polynomial:

x^64-288*x^62+38208*x^60-3109824*x^58+174461544*x^56-7184285280*x^54+2257984\
78848*x^52-5559589535040*x^50+109215640398204*x^48-1734382686559392*x^46+224\
77226666586048*x^44-239343204594946752*x^42+2103775019285713560*x^40-1530861\
8456915896032*x^38+92349460117854080640*x^36-461857030669846721088*x^34+1912\
565959266370155174*x^32-6541631345594296448352*x^30+18412190358331803804864*\
x^28-42433704982665943827264*x^26+79570428970213942561368*x^24-1204566532385\
80664042784*x^22+145818243015714045939456*x^20-139533068075800527142848*x^18\
+104068838547088719396156*x^16-59464128478205915407584*x^14+2547939958079181\
5458368*x^12-7968387959997269861952*x^10+1755433062468658708776*x^8-25913529\
9976324369824*x^6+23671691659397529216*x^4-1150197726063132864*x^2+201713753\
02285089

Common denominator of the automorphisms:

19692753514618900636950499145527745997485408827119074039959004381184

Complex polynomial:

x^64+208*x^56+67524*x^48+3938416*x^40+353546278*x^32+367100784*x^24+82288256\
4*x^16+1551312*x^8+6561

Common denominator of the automorphisms:

31456171169813789568000

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