Finite Group Databasebeta

← Group #13135607

Character table — Group #13135607

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11222223333444444444446666666666666688888121212121212121212121212121212121212121212121212121212122424242424242424242424242424727272727272727272727272
order1223666336622444661212121266999181818181818181818461212126666121212121212181818181818363636363636363636363636121218181836363636363636363644881212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1111-1-1-1-111111111111111-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-11111-1-1-1-1
χ41111111111111-1-1111-1-1-1-111111111111111-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-11111
χ5111111111111-111-111111111111111111111-1-1-1-1-111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i
χ6111111111111-111-111111111111111111111-1-1-1-1-111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii
χ7111111111111-1-1-1-111-1-1-1-1111111111111111-111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1i−i−iiii−i−i−i−iii
χ8111111111111-1-1-1-111-1-1-1-1111111111111111-111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1−iii−i−i−iiiii−i−i
χ91111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ101111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ111111111−1−i32−1+i32−1−i32−1+i3211-1-1111-1-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ121111111−1−i32−1+i32−1−i32−1+i3211-1-1111-1-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ131111111−1−i32−1+i32−1−i32−1+i321-111-1111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ141111111−1−i32−1+i32−1−i32−1+i321-111-1111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ151111111−1−i32−1+i32−1−i32−1+i321-1-1-1-111-1-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-111-1−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ161111111−1−i32−1+i32−1−i32−1+i321-1-1-1-111-1-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-111-1−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ171111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ181111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ191111111−1+i32−1−i32−1+i32−1−i3211-1-1111-1-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ201111111−1+i32−1−i32−1+i32−1−i3211-1-1111-1-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ211111111−1+i32−1−i32−1+i32−1−i321-111-1111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ221111111−1+i32−1−i32−1+i32−1−i321-111-1111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−ii−ii−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ231111111−1+i32−1−i32−1+i32−1−i321-1-1-1-111-1-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-111-1−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32i−i−iiζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ241111111−1+i32−1−i32−1+i32−1−i321-1-1-1-111-1-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-111-1−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−iii−i−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ25222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ262222222222222-2-2222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-222222-2-2-2-222-1-1-1-1-1-1111111111111-2-2-1-1-1111111-1-1-1000000000000
χ27222222222222-222-222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111111111000000000000
χ28222222222222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12-222-222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111122111-1-1-1-1-1-1111000000000000
χ2922222222222-2200-2-2-20000222222222222220200-2-2-2220000-2-2-2-2-2-2-2-200000000000000222000000-2-2-2000000000000
χ3022222222222-2200-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-10200-2-2-2220000-2-2111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-1-1-1−i3i3−i3i3−i3i3111000000000000
χ3122222222222-2200-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-10200-2-2-2220000-2-2111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-1-1-1i3−i3i3−i3i3−i3111000000000000
χ3222222222222-2-2002-2-20000222222222222220-2002-2-2-2-2000022-2-2-2-2-2-200000000000000-2-2-2000000222000000000000
χ3322222222222-2-2002-2-2000022-1-1-1-1-1-1-1-1-1-1-1-10-2002-2-2-2-2000022111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300111i3−i3i3−i3i3−i3-1-1-1000000000000
χ3422222222222-2-2002-2-2000022-1-1-1-1-1-1-1-1-1-1-1-10-2002-2-2-2-2000022111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300111−i3i3−i3i3−i3i3-1-1-1000000000000
χ352222222−1−i3−1+i3−1−i3−1+i322222222222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i3222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32000000000000
χ362222222−1−i3−1+i3−1−i3−1+i322-2-2222-2-2-2-2−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-22-2-22−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32000000000000
χ372222222−1−i3−1+i3−1−i3−1+i32-222-2222222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-2-2-2-2-2−1−i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i31−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32000000000000
χ382222222−1−i3−1+i3−1−i3−1+i32-2-2-2-222-2-2-2-2−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i322-222-2−1−i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i31−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32000000000000
χ392222222−1−i3−1+i3−1−i3−1+i3-2200-2-2-20000−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i30200-21+i31−i3−1−i3−1+i300001+i31−i3-2-21+i31+i31−i31−i3000000000000002−1−i3−1+i3000000-21+i31−i3000000000000
χ402222222−1−i3−1+i3−1−i3−1+i3-2200-2-2-20000−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i320200-21+i31−i3−1−i3−1+i300001+i31−i311−1−i32−1−i32−1+i32−1+i32−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i3200-11+i321−i32−i3i3−3+i323−i323+i32−3−i321−1−i32−1+i32000000000000
χ412222222−1−i3−1+i3−1−i3−1+i3-2200-2-2-20000−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i320200-21+i31−i3−1−i3−1+i300001+i31−i311−1−i32−1−i32−1+i32−1+i32i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i3200-11+i321−i32i3−i33−i32−3+i32−3−i323+i321−1−i32−1+i32000000000000
χ422222222−1−i3−1+i3−1−i3−1+i3-2-2002-2-20000−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i30-20021+i31−i31+i31−i30000−1−i3−1+i3-2-21+i31+i31−i31−i300000000000000-21+i31−i30000002−1−i3−1+i3000000000000
χ432222222−1−i3−1+i3−1−i3−1+i3-2-2002-2-20000−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i320-20021+i31−i31+i31−i30000−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32-11+i321−i32000000000000
χ442222222−1−i3−1+i3−1−i3−1+i3-2-2002-2-20000−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i320-20021+i31−i31+i31−i30000−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32-11+i321−i32000000000000
χ452222222−1+i3−1−i3−1+i3−1−i322222222222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32000000000000
χ462222222−1+i3−1−i3−1+i3−1−i322-2-2222-2-2-2-2−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-22-2-22−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32000000000000
χ472222222−1+i3−1−i3−1+i3−1−i32-222-2222222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-2-2-2-2-2−1+i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i31−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32000000000000
χ482222222−1+i3−1−i3−1+i3−1−i32-2-2-2-222-2-2-2-2−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i322-222-2−1+i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i31−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32000000000000
χ492222222−1+i3−1−i3−1+i3−1−i3-2200-2-2-20000−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i30200-21−i31+i3−1+i3−1−i300001−i31+i3-2-21−i31−i31+i31+i3000000000000002−1+i3−1−i3000000-21−i31+i3000000000000
χ502222222−1+i3−1−i3−1+i3−1−i3-2200-2-2-20000−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i320200-21−i31+i3−1+i3−1−i300001−i31+i311−1+i32−1+i32−1−i32−1−i32−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i3200-11−i321+i32−i3i33+i32−3−i32−3+i323−i321−1+i32−1−i32000000000000
χ512222222−1+i3−1−i3−1+i3−1−i3-2200-2-2-20000−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i320200-21−i31+i3−1+i3−1−i300001−i31+i311−1+i32−1+i32−1−i32−1−i32i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i3200-11−i321+i32i3−i3−3−i323+i323−i32−3+i321−1+i32−1−i32000000000000
χ522222222−1+i3−1−i3−1+i3−1−i3-2-2002-2-20000−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i30-20021−i31+i31−i31+i30000−1+i3−1−i3-2-21−i31−i31+i31+i300000000000000-21−i31+i30000002−1+i3−1−i3000000000000
χ532222222−1+i3−1−i3−1+i3−1−i3-2-2002-2-20000−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i320-20021−i31+i31−i31+i30000−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32-11−i321+i32000000000000
χ542222222−1+i3−1−i3−1+i3−1−i3-2-2002-2-20000−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i320-20021−i31+i31−i31+i30000−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32-11−i321+i32000000000000
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χ9512-120-66i3−6i36000000−6i6i000−6ζ11−6ζ76ζ116ζ70000000000000000000000000000000000000000000000000000000000000000000000000

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