Finite Group Databasebeta

← Group #13147399

Character table — Group #13147399

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111112224449999991212121218181818181818181818181818181824242424242436363636363636363611111122244499999912121212181818181818181818181818181818242424242424363636363636363636
order1233664121226644121212123366244446612121212121212126666121248812122424242422666641212266441212121266662444466121212121212121266661212488121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ3111111111111-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i111111-1i−i-1-1ii−i−i111111111111-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i111111-1i−i-1-1ii−i−i
χ4111111111111-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii111111-1−ii-1-1−i−iii111111111111-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii111111-1−ii-1-1−i−iii
χ5111111111-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111111-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ6111111111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111111111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ7111111111-1-1-1-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1111−ii11−i−iii111111111-1-1-1-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1111−ii11−i−iii
χ8111111111-1-1-1-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1111i−i11ii−i−i111111111-1-1-1-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1111i−i11ii−i−i
χ9222222-2-2-20002222222222-20000-2-2000000000000-2-2000000000222222-2-2-20002222222222-20000-2-2000000000000-2-2000000000
χ10222222-2-2-2000-2-2-2-2-2-222222000022000000000000-2-2000000000222222-2-2-2000-2-2-2-2-2-222222000022000000000000-2-2000000000
χ112-222-2-20000002i−2i2i2i−2i−2i22-2-201+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000002-222-2-20000002i−2i2i2i−2i−2i22-2-201+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000
χ122-222-2-20000002i−2i2i2i−2i−2i22-2-20−1−i1+i−1+i1−i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000002-222-2-20000002i−2i2i2i−2i−2i22-2-20−1−i1+i−1+i1−i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000
χ132-222-2-2000000−2i2i−2i−2i2i2i22-2-201−i−1+i1+i−1−i001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000002-222-2-2000000−2i2i−2i−2i2i2i22-2-201−i−1+i1+i−1−i001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000
χ142-222-2-2000000−2i2i−2i−2i2i2i22-2-20−1+i1−i−1−i1+i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000002-222-2-2000000−2i2i−2i−2i2i2i22-2-20−1+i1−i−1−i1+i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000
χ1533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ110000001i−i−1−i32−1+i32ζ7ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ110000001i−i−1−i32−1+i32ζ7ζ11−ζ7−ζ11
χ1633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ110000001−ii−1−i32−1+i32−ζ7−ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ110000001−ii−1−i32−1+i32−ζ7−ζ11ζ7ζ11
χ1733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-1111+i321−i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000-1111+i321−i32−1+i32−1−i32−1+i32−1−i32
χ1833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000-1-1-11+i321−i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000-1-1-11+i321−i321−i321+i321−i321+i32
χ1933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11000000-1−ii1+i321−i32−ζ7−ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11000000-1−ii1+i321−i32−ζ7−ζ11ζ7ζ11
χ2033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11000000-1i−i1+i321−i32ζ7ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11000000-1i−i1+i321−i32ζ7ζ11−ζ7−ζ11
χ2133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000001-1-1−1−i32−1+i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000001-1-1−1−i32−1+i321−i321+i321−i321+i32
χ2233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000111−1−i32−1+i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32000000111−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32
χ2333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ70000001i−i−1+i32−1−i32ζ11ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ70000001i−i−1+i32−1−i32ζ11ζ7−ζ11−ζ7
χ2433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ70000001−ii−1+i32−1−i32−ζ11−ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ70000001−ii−1+i32−1−i32−ζ11−ζ7ζ11ζ7
χ2533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-1111−i321+i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000-1111−i321+i32−1−i32−1+i32−1−i32−1+i32
χ2633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000-1-1-11−i321+i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000-1-1-11−i321+i321+i321−i321+i321−i32
χ2733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7000000-1−ii1−i321+i32−ζ11−ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7000000-1−ii1−i321+i32−ζ11−ζ7ζ11ζ7
χ2833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7000000-1i−i1−i321+i32ζ11ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7000000-1i−i1−i321+i32ζ11ζ7−ζ11−ζ7
χ2933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000001-1-1−1+i32−1−i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000001-1-1−1+i32−1−i321+i321−i321+i321−i32
χ3033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32000000111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32
χ314444444444440000001-21-200000000000000011-2-21-20000000004444444444440000001-21-200000000000000011-2-21-2000000000
χ32444444444444000000-21-21000000000000000-2-211-21000000000444444444444000000-21-21000000000000000-2-211-21000000000
χ33444444444-4-4-40000001-21-2000000000000000-1-1221-2000000000444444444-4-4-40000001-21-2000000000000000-1-1221-2000000000
χ34444444444-4-4-4000000-21-2100000000000000022-1-1-21000000000444444444-4-4-4000000-21-2100000000000000022-1-1-21000000000
χ35444444-4-4-40000000001-21-20000000000000003-300-12000000000444444-4-4-40000000001-21-20000000000000003-300-12000000000
χ36444444-4-4-40000000001-21-2000000000000000-3300-12000000000444444-4-4-40000000001-21-2000000000000000-3300-12000000000
χ37444444-4-4-4000000000-21-21000000000000000003-32-1000000000444444-4-4-4000000000-21-21000000000000000003-32-1000000000
χ38444444-4-4-4000000000-21-2100000000000000000-332-1000000000444444-4-4-4000000000-21-2100000000000000000-332-1000000000
χ3966−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300022−1−i3−1+i3−1−i3−1+i30000-200001+i31−i30000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i300022−1−i3−1+i3−1−i3−1+i30000-200001+i31−i300000000000000000000000
χ4066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3000-2-21+i31−i31+i31−i3000020000−1−i3−1+i30000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-63+3i33−3i3000-2-21+i31−i31+i31−i3000020000−1−i3−1+i300000000000000000000000
χ4166−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300022−1+i3−1−i3−1+i3−1−i30000-200001−i31+i30000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i300022−1+i3−1−i3−1+i3−1−i30000-200001−i31+i300000000000000000000000
χ4266−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3000-2-21−i31+i31−i31+i3000020000−1+i3−1−i30000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-63−3i33+3i3000-2-21−i31+i31−i31+i3000020000−1+i3−1−i300000000000000000000000
χ436-6−3−3i3−3+3i33+3i33−3i30000002i−2i2ζ112ζ7−2ζ11−2ζ7000001−i−1+i1+i−1−i00−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ110000000000000006-6−3−3i3−3+3i33+3i33−3i30000002i−2i2ζ112ζ7−2ζ11−2ζ7000001−i−1+i1+i−1−i00−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11000000000000000
χ446-6−3−3i3−3+3i33+3i33−3i30000002i−2i2ζ112ζ7−2ζ11−2ζ700000−1+i1−i−1−i1+i00ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ110000000000000006-6−3−3i3−3+3i33+3i33−3i30000002i−2i2ζ112ζ7−2ζ11−2ζ700000−1+i1−i−1−i1+i00ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11000000000000000
χ456-6−3−3i3−3+3i33+3i33−3i3000000−2i2i−2ζ11−2ζ72ζ112ζ7000001+i−1−i1−i−1+i00ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ110000000000000006-6−3−3i3−3+3i33+3i33−3i3000000−2i2i−2ζ11−2ζ72ζ112ζ7000001+i−1−i1−i−1+i00ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11000000000000000
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χ956-6−3−3i3−3+3i33+3i33−3i30000002i−2i2ζ112ζ7−2ζ11−2ζ7000001−i−1+i1+i−1−i00−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11000000000000000-663+3i33−3i3−3−3i3−3+3i3000000−2i2i−2ζ11−2ζ72ζ112ζ700000−1+i1−i−1−i1+i00ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11000000000000000
χ966-6−3−3i3−3+3i33+3i33−3i30000002i−2i2ζ112ζ7−2ζ11−2ζ700000−1+i1−i−1−i1+i00ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11000000000000000-663+3i33−3i3−3−3i3−3+3i3000000−2i2i−2ζ11−2ζ72ζ112ζ7000001−i−1+i1+i−1−i00−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11000000000000000
χ976-6−3−3i3−3+3i33+3i33−3i3000000−2i2i−2ζ11−2ζ72ζ112ζ7000001+i−1−i1−i−1+i00ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11000000000000000-663+3i33−3i3−3−3i3−3+3i30000002i−2i2ζ112ζ7−2ζ11−2ζ700000−1−i1+i−1+i1−i00−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11000000000000000
χ986-6−3−3i3−3+3i33+3i33−3i3000000−2i2i−2ζ11−2ζ72ζ112ζ700000−1−i1+i−1+i1−i00−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11000000000000000-663+3i33−3i3−3−3i3−3+3i30000002i−2i2ζ112ζ7−2ζ11−2ζ7000001+i−1−i1−i−1+i00ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11000000000000000
χ996-6−3+3i3−3−3i33−3i33+3i30000002i−2i2ζ72ζ11−2ζ7−2ζ11000001−i−1+i1+i−1−i00−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10000000000000000-663−3i33+3i3−3+3i3−3−3i3000000−2i2i−2ζ7−2ζ112ζ72ζ1100000−1+i1−i−1−i1+i00ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10000000000000000
χ1006-6−3+3i3−3−3i33−3i33+3i30000002i−2i2ζ72ζ11−2ζ7−2ζ1100000−1+i1−i−1−i1+i00ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10000000000000000-663−3i33+3i3−3+3i3−3−3i3000000−2i2i−2ζ7−2ζ112ζ72ζ11000001−i−1+i1+i−1−i00−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10000000000000000
χ1016-6−3+3i3−3−3i33−3i33+3i3000000−2i2i−2ζ7−2ζ112ζ72ζ11000001+i−1−i1−i−1+i00−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10000000000000000-663−3i33+3i3−3+3i3−3−3i30000002i−2i2ζ72ζ11−2ζ7−2ζ1100000−1−i1+i−1+i1−i00ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10000000000000000
χ1026-6−3+3i3−3−3i33−3i33+3i3000000−2i2i−2ζ7−2ζ112ζ72ζ1100000−1−i1+i−1+i1−i00ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10000000000000000-663−3i33+3i3−3+3i3−3−3i30000002i−2i2ζ72ζ11−2ζ7−2ζ11000001+i−1−i1−i−1+i00−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10000000000000000
χ1038-888-8-80000000000002-4-24000000000000000000000000000000-88-8-888000000000000-242-4000000000000000000000000000000
χ1048-888-8-8000000000000-424-2000000000000000000000000000000-88-8-8880000000000004-2-42000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.