Finite Group Databasebeta

← Group #64335

Character table — Group #64335

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111144444444661111444444446611114444444466111144444444661111444444446611114444444466
order124433661212121224361212336612121212612361212336612121212612224466661212121224661212666612121212612661212666612121212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ31111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ411-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11
χ511-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11
χ611-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11
χ72-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00
χ82-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700
χ92-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ102-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00
χ112-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700
χ122-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ13333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1
χ1433-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1
χ1511111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ161111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211−1−i32−1−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211−1−i32−1−i32
χ171111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1−i32−1−i32
χ1811-1-11111-1-1-1-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i3211-1-11111-1-1-1-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32
χ1911-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i321−i32−1+i32−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-11+i32−1−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i321−i32−1+i32−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-11+i32−1−i32
χ2011-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-11−i32−1+i32−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i321+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-11−i32−1+i32−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i321+i32−1−i32
χ212-22i−2i-1-111i−ii−i00−1+i31−i32ζ7−2ζ71−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ700−1−i31+i32ζ11−2ζ111+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11002-22i−2i-1-111i−ii−i00−1+i31−i32ζ7−2ζ71−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ700−1−i31+i32ζ11−2ζ111+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ1100
χ222-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700−1+i31−i32ζ7−2ζ7-11+i321−1−i32i−iζ11−ζ1100−1−i31+i32ζ11−2ζ111−i32-1−1+i321ζ7−ζ7i−i002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700−1+i31−i32ζ7−2ζ7-11+i321−1−i32i−iζ11−ζ1100−1−i31+i32ζ11−2ζ111−i32-1−1+i321ζ7−ζ7i−i00
χ232-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100−1+i31−i32ζ7−2ζ71+i32-1−1−i321ζ11−ζ11i−i00−1−i31+i32ζ11−2ζ11-11−i321−1+i32i−iζ7−ζ7002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100−1+i31−i32ζ7−2ζ71+i32-1−1−i321ζ11−ζ11i−i00−1−i31+i32ζ11−2ζ11-11−i321−1+i32i−iζ7−ζ700
χ242-2−2i2i-1-111−ii−ii00−1+i31−i3−2ζ72ζ71−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ700−1−i31+i3−2ζ112ζ111+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11002-2−2i2i-1-111−ii−ii00−1+i31−i3−2ζ72ζ71−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ700−1−i31+i3−2ζ112ζ111+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ1100
χ252-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700−1+i31−i3−2ζ72ζ7-11+i321−1−i32−ii−ζ11ζ1100−1−i31+i3−2ζ112ζ111−i32-1−1+i321−ζ7ζ7−ii002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700−1+i31−i3−2ζ72ζ7-11+i321−1−i32−ii−ζ11ζ1100−1−i31+i3−2ζ112ζ111−i32-1−1+i321−ζ7ζ7−ii00
χ262-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100−1+i31−i3−2ζ72ζ71+i32-1−1−i321−ζ11ζ11−ii00−1−i31+i3−2ζ112ζ11-11−i321−1+i32−ii−ζ7ζ7002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100−1+i31−i3−2ζ72ζ71+i32-1−1−i321−ζ11ζ11−ii00−1−i31+i3−2ζ112ζ11-11−i321−1+i32−ii−ζ7ζ700
χ27333300000000-1-1−3+3i32−3+3i32−3+3i32−3+3i32000000001−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32000000001+i321+i32333300000000-1-1−3+3i32−3+3i32−3+3i32−3+3i32000000001−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32000000001+i321+i32
χ2833-3-3000000001-1−3+3i32−3+3i323−3i323−3i3200000000−1+i321−i32−3−3i32−3−3i323+3i323+3i3200000000−1−i321+i3233-3-3000000001-1−3+3i32−3+3i323−3i323−3i3200000000−1+i321−i32−3−3i32−3−3i323+3i323+3i3200000000−1−i321+i32
χ2911111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1+i32−1+i32
χ311111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i3211−1+i32−1+i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i3211−1+i32−1+i32
χ3211-1-11111-1-1-1-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i3211-1-11111-1-1-1-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32
χ3311-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-11+i32−1−i32−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i321−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-11+i32−1−i32−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i321−i32−1+i32
χ3411-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i321+i32−1−i32−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-11−i32−1+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i321+i32−1−i32−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-11−i32−1+i32
χ352-22i−2i-1-111i−ii−i00−1−i31+i32ζ11−2ζ111+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ1100−1+i31−i32ζ7−2ζ71−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7002-22i−2i-1-111i−ii−i00−1−i31+i32ζ11−2ζ111+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ1100−1+i31−i32ζ7−2ζ71−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ700
χ362-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700−1−i31+i32ζ11−2ζ111−i32-1−1+i321ζ7−ζ7i−i00−1+i31−i32ζ7−2ζ7-11+i321−1−i32i−iζ11−ζ11002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700−1−i31+i32ζ11−2ζ111−i32-1−1+i321ζ7−ζ7i−i00−1+i31−i32ζ7−2ζ7-11+i321−1−i32i−iζ11−ζ1100
χ372-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100−1−i31+i32ζ11−2ζ11-11−i321−1+i32i−iζ7−ζ700−1+i31−i32ζ7−2ζ71+i32-1−1−i321ζ11−ζ11i−i002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100−1−i31+i32ζ11−2ζ11-11−i321−1+i32i−iζ7−ζ700−1+i31−i32ζ7−2ζ71+i32-1−1−i321ζ11−ζ11i−i00
χ382-2−2i2i-1-111−ii−ii00−1−i31+i3−2ζ112ζ111+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ1100−1+i31−i3−2ζ72ζ71−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7002-2−2i2i-1-111−ii−ii00−1−i31+i3−2ζ112ζ111+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ1100−1+i31−i3−2ζ72ζ71−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ700
χ392-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700−1−i31+i3−2ζ112ζ111−i32-1−1+i321−ζ7ζ7−ii00−1+i31−i3−2ζ72ζ7-11+i321−1−i32−ii−ζ11ζ11002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700−1−i31+i3−2ζ112ζ111−i32-1−1+i321−ζ7ζ7−ii00−1+i31−i3−2ζ72ζ7-11+i321−1−i32−ii−ζ11ζ1100
χ402-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100−1−i31+i3−2ζ112ζ11-11−i321−1+i32−ii−ζ7ζ700−1+i31−i3−2ζ72ζ71+i32-1−1−i321−ζ11ζ11−ii002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100−1−i31+i3−2ζ112ζ11-11−i321−1+i32−ii−ζ7ζ700−1+i31−i3−2ζ72ζ71+i32-1−1−i321−ζ11ζ11−ii00
χ41333300000000-1-1−3−3i32−3−3i32−3−3i32−3−3i32000000001+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32000000001−i321−i32333300000000-1-1−3−3i32−3−3i32−3−3i32−3−3i32000000001+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32000000001−i321−i32
χ4233-3-3000000001-1−3−3i32−3−3i323+3i323+3i3200000000−1−i321+i32−3+3i32−3+3i323−3i323−3i3200000000−1+i321−i3233-3-3000000001-1−3−3i32−3−3i323+3i323+3i3200000000−1−i321+i32−3+3i32−3+3i323−3i323−3i3200000000−1+i321−i32
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1
χ451111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1
χ4611-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1
χ4711-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ4811-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ492-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00
χ502-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700
χ512-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100
χ522-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i00-222i−2i11-1-1i−ii−i00-222i−2i11-1-1i−ii−i00
χ532-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700
χ542-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100
χ55333300000000-1-1333300000000-1-1333300000000-1-1-3-3-3-30000000011-3-3-3-30000000011-3-3-3-30000000011
χ5633-3-3000000001-133-3-3000000001-133-3-3000000001-1-3-33300000000-11-3-33300000000-11-3-33300000000-11
χ5711111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ581111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211−1−i32−1−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11−i321−i321−i321−i32-11+i32-11+i32-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i32-11−i32-11−i321−i32-1-11+i321+i32
χ591111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321−i321−i321+i32-11+i32-11+i321+i32-1-11−i321−i321+i321+i321+i321+i32-11−i32-11−i32-1-11−i321−i321+i321+i32
χ6011-1-11111-1-1-1-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32-1-111-1-1-1-111111-11−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ6111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i321−i32−1+i32−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-11+i32−1−i32-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-11−i321−i32−1+i32−1+i32-11+i32-11+i3211−1−i32−1−i32−1+i321−i321+i321+i32−1−i32−1−i321−i32-11−i32-1−1+i32−1+i3211−1−i321+i32
χ6211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-11−i32−1+i32−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i321+i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-11−i321−i32−1+i32−1+i321+i32-11+i32-1−1−i32−1−i3211−1+i321−i321+i321+i32−1−i32−1−i32-11−i32-11−i3211−1+i32−1+i32−1−i321+i32
χ632-22i−2i-1-111i−ii−i00−1+i31−i32ζ7−2ζ71−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ700−1−i31+i32ζ11−2ζ111+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ1100-22−2i2i11-1-1−ii−ii001−i3−1+i3−2ζ72ζ7−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7001+i3−1−i3−2ζ112ζ11−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ1100
χ642-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700−1+i31−i32ζ7−2ζ7-11+i321−1−i32i−iζ11−ζ1100−1−i31+i32ζ11−2ζ111−i32-1−1+i321ζ7−ζ7i−i00-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7001−i3−1+i3−2ζ72ζ71−1−i32-11+i32−ii−ζ11ζ11001+i3−1−i3−2ζ112ζ11−1+i3211−i32-1−ζ7ζ7−ii00
χ652-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100−1+i31−i32ζ7−2ζ71+i32-1−1−i321ζ11−ζ11i−i00−1−i31+i32ζ11−2ζ11-11−i321−1+i32i−iζ7−ζ700-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11001−i3−1+i3−2ζ72ζ7−1−i3211+i32-1−ζ11ζ11−ii001+i3−1−i3−2ζ112ζ111−1+i32-11−i32−ii−ζ7ζ700
χ662-2−2i2i-1-111−ii−ii00−1+i31−i3−2ζ72ζ71−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ700−1−i31+i3−2ζ112ζ111+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ1100-222i−2i11-1-1i−ii−i001−i3−1+i32ζ7−2ζ7−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7001+i3−1−i32ζ11−2ζ11−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ1100
χ672-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700−1+i31−i3−2ζ72ζ7-11+i321−1−i32−ii−ζ11ζ1100−1−i31+i3−2ζ112ζ111−i32-1−1+i321−ζ7ζ7−ii00-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7001−i3−1+i32ζ7−2ζ71−1−i32-11+i32i−iζ11−ζ11001+i3−1−i32ζ11−2ζ11−1+i3211−i32-1ζ7−ζ7i−i00
χ682-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100−1+i31−i3−2ζ72ζ71+i32-1−1−i321−ζ11ζ11−ii00−1−i31+i3−2ζ112ζ11-11−i321−1+i32−ii−ζ7ζ700-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11001−i3−1+i32ζ7−2ζ7−1−i3211+i32-1ζ11−ζ11i−i001+i3−1−i32ζ11−2ζ111−1+i32-11−i32i−iζ7−ζ700
χ69333300000000-1-1−3+3i32−3+3i32−3+3i32−3+3i32000000001−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32000000001+i321+i32-3-3-3-300000000113−3i323−3i323−3i323−3i3200000000−1+i32−1+i323+3i323+3i323+3i323+3i3200000000−1−i32−1−i32
χ7033-3-3000000001-1−3+3i32−3+3i323−3i323−3i3200000000−1+i321−i32−3−3i32−3−3i323+3i323+3i3200000000−1−i321+i32-3-33300000000-113−3i323−3i32−3+3i32−3+3i32000000001−i32−1+i323+3i323+3i32−3−3i32−3−3i32000000001+i32−1−i32
χ7111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ721111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i32-11−i32-11−i321−i32-1-11+i321+i321−i321−i321−i321−i32-11+i32-11+i32-1-11+i321+i321−i321−i32
χ731111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i3211−1+i32−1+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11+i321+i321+i321+i32-11−i32-11−i32-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i32-11+i32-11+i321+i32-1-11−i321−i32
χ7411-1-11111-1-1-1-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32-1-111-1-1-1-111111-11+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ7511-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-11+i32−1−i32−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i321−i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-11+i321+i32−1−i32−1−i321−i32-11−i32-1−1+i32−1+i3211−1−i321+i321−i321−i32−1+i32−1+i32-11+i32-11+i3211−1−i32−1−i32−1+i321−i32
χ7611-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i321+i32−1−i32−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-11−i32−1+i32-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-11+i321+i32−1−i32−1−i32-11−i32-11−i3211−1+i32−1+i32−1−i321+i321−i321−i32−1+i32−1+i321+i32-11+i32-1−1−i32−1−i3211−1+i321−i32
χ772-22i−2i-1-111i−ii−i00−1−i31+i32ζ11−2ζ111+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ1100−1+i31−i32ζ7−2ζ71−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ700-22−2i2i11-1-1−ii−ii001+i3−1−i3−2ζ112ζ11−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11001−i3−1+i3−2ζ72ζ7−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ700
χ782-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700−1−i31+i32ζ11−2ζ111−i32-1−1+i321ζ7−ζ7i−i00−1+i31−i32ζ7−2ζ7-11+i321−1−i32i−iζ11−ζ1100-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7001+i3−1−i3−2ζ112ζ11−1+i3211−i32-1−ζ7ζ7−ii001−i3−1+i3−2ζ72ζ71−1−i32-11+i32−ii−ζ11ζ1100
χ792-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100−1−i31+i32ζ11−2ζ11-11−i321−1+i32i−iζ7−ζ700−1+i31−i32ζ7−2ζ71+i32-1−1−i321ζ11−ζ11i−i00-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11001+i3−1−i3−2ζ112ζ111−1+i32-11−i32−ii−ζ7ζ7001−i3−1+i3−2ζ72ζ7−1−i3211+i32-1−ζ11ζ11−ii00
χ802-2−2i2i-1-111−ii−ii00−1−i31+i3−2ζ112ζ111+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ1100−1+i31−i3−2ζ72ζ71−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ700-222i−2i11-1-1i−ii−i001+i3−1−i32ζ11−2ζ11−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11001−i3−1+i32ζ7−2ζ7−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ700
χ812-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700−1−i31+i3−2ζ112ζ111−i32-1−1+i321−ζ7ζ7−ii00−1+i31−i3−2ζ72ζ7-11+i321−1−i32−ii−ζ11ζ1100-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7001+i3−1−i32ζ11−2ζ11−1+i3211−i32-1ζ7−ζ7i−i001−i3−1+i32ζ7−2ζ71−1−i32-11+i32i−iζ11−ζ1100
χ822-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100−1−i31+i3−2ζ112ζ11-11−i321−1+i32−ii−ζ7ζ700−1+i31−i3−2ζ72ζ71+i32-1−1−i321−ζ11ζ11−ii00-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11001+i3−1−i32ζ11−2ζ111−1+i32-11−i32i−iζ7−ζ7001−i3−1+i32ζ7−2ζ7−1−i3211+i32-1ζ11−ζ11i−i00
χ83333300000000-1-1−3−3i32−3−3i32−3−3i32−3−3i32000000001+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32000000001−i321−i32-3-3-3-300000000113+3i323+3i323+3i323+3i3200000000−1−i32−1−i323−3i323−3i323−3i323−3i3200000000−1+i32−1+i32
χ8433-3-3000000001-1−3−3i32−3−3i323+3i323+3i3200000000−1−i321+i32−3+3i32−3+3i323−3i323−3i3200000000−1+i321−i32-3-33300000000-113+3i323+3i32−3−3i32−3−3i32000000001+i32−1−i323−3i323−3i32−3+3i32−3+3i32000000001−i32−1+i32

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