Finite Group Databasebeta

← Group #13181016

Character table — Group #13181016

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112444444812121212121212121818242436361124444448121212121212121218182424363611244444481212121212121212181824243636112444444812121212121212121818242436361124444448121212121212121218182424363611244444481212121212121212181824243636
order12433661212122224661212246688361233661212126661266121261266242436123366121212666126612126126624242246666121212222466121224668866126666121212666126612126126624246612666612121266612661212612662424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1
χ31111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-111
χ511-11111-1-1-11-11-111-1-1-111-11-111-11111-1-1-11-11-111-1-1-111-11-111-11111-1-1-11-11-111-1-1-111-11-111-11111-1-1-11-11-111-1-1-111-11-111-11111-1-1-11-11-111-1-1-111-11-111-11111-1-1-11-11-111-1-1-111-11-1
χ611-11111-1-1-11-1-11-1-111-111-1-1111-11111-1-1-11-1-11-1-111-111-1-1111-11111-1-1-11-1-11-1-111-111-1-1111-11111-1-1-11-1-11-1-111-111-1-1111-11111-1-1-11-1-11-1-111-111-1-1111-11111-1-1-11-1-11-1-111-111-1-11
χ711-11111-1-1-1-111-111-1-1-11-11-1111-11111-1-1-1-111-111-1-1-11-11-1111-11111-1-1-1-111-111-1-1-11-11-1111-11111-1-1-1-111-111-1-1-11-11-1111-11111-1-1-1-111-111-1-1-11-11-1111-11111-1-1-1-111-111-1-1-11-11-11
χ811-11111-1-1-1-11-11-1-111-11-111-111-11111-1-1-1-11-11-1-111-11-111-111-11111-1-1-1-11-11-1-111-11-111-111-11111-1-1-1-11-11-1-111-11-111-111-11111-1-1-1-11-11-1-111-11-111-111-11111-1-1-1-11-11-1-111-11-111-1
χ9222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000
χ1022-22222-2-2-2000000002-2000022-22222-2-2-2000000002-2000022-22222-2-2-2000000002-2000022-22222-2-2-2000000002-2000022-22222-2-2-2000000002-2000022-22222-2-2-2000000002-20000
χ114441-2-2111-20022-1-1-1-10000004441-2-2111-20022-1-1-1-10000004441-2-2111-20022-1-1-1-10000004441-2-2111-20022-1-1-1-10000004441-2-2111-20022-1-1-1-10000004441-2-2111-20022-1-1-1-1000000
χ124441-2-2111-200-2-211110000004441-2-2111-200-2-211110000004441-2-2111-200-2-211110000004441-2-2111-200-2-211110000004441-2-2111-200-2-211110000004441-2-2111-200-2-21111000000
χ13444-211-2-2-212200000000-1-100444-211-2-2-212200000000-1-100444-211-2-2-212200000000-1-100444-211-2-2-212200000000-1-100444-211-2-2-212200000000-1-100444-211-2-2-212200000000-1-100
χ14444-211-2-2-21-2-2000000001100444-211-2-2-21-2-2000000001100444-211-2-2-21-2-2000000001100444-211-2-2-21-2-2000000001100444-211-2-2-21-2-2000000001100444-211-2-2-21-2-2000000001100
χ1544-41-2-21-1-12002-2-1-11100000044-41-2-21-1-12002-2-1-11100000044-41-2-21-1-12002-2-1-11100000044-41-2-21-1-12002-2-1-11100000044-41-2-21-1-12002-2-1-11100000044-41-2-21-1-12002-2-1-111000000
χ1644-41-2-21-1-1200-2211-1-100000044-41-2-21-1-1200-2211-1-100000044-41-2-21-1-1200-2211-1-100000044-41-2-21-1-1200-2211-1-100000044-41-2-21-1-1200-2211-1-100000044-41-2-21-1-1200-2211-1-1000000
χ1744-4-211-222-12-200000000-110044-4-211-222-12-200000000-110044-4-211-222-12-200000000-110044-4-211-222-12-200000000-110044-4-211-222-12-200000000-110044-4-211-222-12-200000000-1100
χ1844-4-211-222-1-22000000001-10044-4-211-222-1-22000000001-10044-4-211-222-1-22000000001-10044-4-211-222-1-22000000001-10044-4-211-222-1-22000000001-10044-4-211-222-1-22000000001-100
χ194-401-22-13i−3i00000−i3i33−30000004-401-22-13i−3i00000−i3i33−30000004-401-22-13i−3i00000−i3i33−30000004-401-22-13i−3i00000−i3i33−30000004-401-22-13i−3i00000−i3i33−30000004-401-22-13i−3i00000−i3i33−3000000
χ204-401-22-13i−3i00000i3−i3−330000004-401-22-13i−3i00000i3−i3−330000004-401-22-13i−3i00000i3−i3−330000004-401-22-13i−3i00000i3−i3−330000004-401-22-13i−3i00000i3−i3−330000004-401-22-13i−3i00000i3−i3−33000000
χ214-401-22-1−3i3i00000−i3i3−330000004-401-22-1−3i3i00000−i3i3−330000004-401-22-1−3i3i00000−i3i3−330000004-401-22-1−3i3i00000−i3i3−330000004-401-22-1−3i3i00000−i3i3−330000004-401-22-1−3i3i00000−i3i3−33000000
χ224-401-22-1−3i3i00000i3−i33−30000004-401-22-1−3i3i00000i3−i33−30000004-401-22-1−3i3i00000i3−i33−30000004-401-22-1−3i3i00000i3−i33−30000004-401-22-1−3i3i00000i3−i33−30000004-401-22-1−3i3i00000i3−i33−3000000
χ234-4044-4-4000000000000000004-4044-4-4000000000000000004-4044-4-4000000000000000004-4044-4-4000000000000000004-4044-4-4000000000000000004-4044-4-400000000000000000
χ248-80-42-24000000000000000008-80-42-24000000000000000008-80-42-24000000000000000008-80-42-24000000000000000008-80-42-24000000000000000008-80-42-2400000000000000000
χ25111111111111111111111111−1+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−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−i32111111111111111111111111−1+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−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
χ26111111111111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32111111111111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ271111111111-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111111-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ281111111111-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321111111111-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ2911-11111-1-1-11-11-111-1-1-111-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i3211-11111-1-1-11-11-111-1-1-111-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32
χ3011-11111-1-1-11-1-11-1-111-111-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i3211-11111-1-1-11-1-11-1-111-111-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ3111-11111-1-1-1-111-111-1-1-11-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i3211-11111-1-1-1-111-111-1-1-11-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ3211-11111-1-1-1-11-11-1-111-11-111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i3211-11111-1-1-1-11-11-1-111-11-111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ33222222222200000000-2-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i31−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i31+i30000222222222200000000-2-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i31−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i31+i30000
χ3422-22222-2-2-2000000002-20000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300000000−1+i31−i30000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300000000−1−i31+i3000022-22222-2-2-2000000002-20000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300000000−1+i31−i30000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300000000−1−i31+i30000
χ354441-2-2111-20022-1-1-1-1000000−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i300−1+i3−1+i31−i321−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i300−1−i3−1−i31+i321+i321+i321+i320000004441-2-2111-20022-1-1-1-1000000−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i300−1+i3−1+i31−i321−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i300−1−i3−1−i31+i321+i321+i321+i32000000
χ364441-2-2111-200-2-21111000000−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i3001−i31−i3−1+i32−1+i32−1+i32−1+i32000000−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i3001+i31+i3−1−i32−1−i32−1−i32−1−i320000004441-2-2111-200-2-21111000000−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i3001−i31−i3−1+i32−1+i32−1+i32−1+i32000000−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i3001+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ37444-211-2-2-212200000000-1-100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3−1+i3000000001−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3−1−i3000000001+i321+i3200444-211-2-2-212200000000-1-100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3−1+i3000000001−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3−1−i3000000001+i321+i3200
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χ1194-4044-4-400000000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i300000000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i300000000000000000-440-4-444000000000000000002−2i3−2+2i302−2i32−2i3−2+2i3−2+2i3000000000000000002+2i3−2−2i302+2i32+2i3−2−2i3−2−2i300000000000000000
χ1208-80-42-2400000000000000000−4+4i34−4i302−2i3−1+i31−i3−2+2i300000000000000000−4−4i34+4i302+2i3−1−i31+i3−2−2i300000000000000000-8804-22-4000000000000000004−4i3−4+4i30−2+2i31−i3−1+i32−2i3000000000000000004+4i3−4−4i30−2−2i31+i3−1−i32+2i300000000000000000
χ121111111111111111111111111−1−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+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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+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−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ122111111111111-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1231111111111-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1241111111111-1-1-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ12511-11111-1-1-11-11-111-1-1-111-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32-1-11-1-1-1-1111-11-11-1-1111-1-11-111+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ12611-11111-1-1-11-1-11-1-111-111-1-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32-1-11-1-1-1-1111-111-111-1-11-1-111-11+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ12711-11111-1-1-1-111-111-1-1-11-11-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32-1-11-1-1-1-11111-1-11-1-1111-11-11-11+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ12811-11111-1-1-1-11-11-1-111-11-111-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32-1-11-1-1-1-11111-11-111-1-11-11-1-111+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32
χ129222222222200000000-2-20000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i31+i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i31−i30000-2-2-2-2-2-2-2-2-2-2000000002200001+i31+i31+i31+i31+i31+i31+i31+i31+i31+i300000000−1−i3−1−i300001−i31−i31−i31−i31−i31−i31−i31−i31−i31−i300000000−1+i3−1+i30000
χ13022-22222-2-2-2000000002-20000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300000000−1−i31+i30000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300000000−1+i31−i30000-2-22-2-2-2-222200000000-2200001+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3000000001+i3−1−i300001−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3000000001−i3−1+i30000
χ1314441-2-2111-20022-1-1-1-1000000−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i300−1−i3−1−i31+i321+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i300−1+i3−1+i31−i321−i321−i321−i32000000-4-4-4-122-1-1-1200-2-211110000002+2i32+2i32+2i31+i32−1−i3−1−i31+i321+i321+i32−1−i3001+i31+i3−1−i32−1−i32−1−i32−1−i320000002−2i32−2i32−2i31−i32−1+i3−1+i31−i321−i321−i32−1+i3001−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ1324441-2-2111-200-2-21111000000−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i3001+i31+i3−1−i32−1−i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i3001−i31−i3−1+i32−1+i32−1+i32−1+i32000000-4-4-4-122-1-1-120022-1-1-1-10000002+2i32+2i32+2i31+i32−1−i3−1−i31+i321+i321+i32−1−i300−1−i3−1−i31+i321+i321+i321+i320000002−2i32−2i32−2i31−i32−1+i3−1+i31−i321−i321−i32−1+i300−1+i3−1+i31−i321−i321−i321−i32000000
χ133444-211-2-2-212200000000-1-100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3−1−i3000000001+i321+i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3−1+i3000000001−i321−i3200-4-4-42-1-1222-1-2-20000000011002+2i32+2i32+2i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i300000000−1−i32−1−i32002−2i32−2i32−2i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i300000000−1+i32−1+i3200
χ134444-211-2-2-21-2-2000000001100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i31+i31+i3−1−i321+i31+i300000000−1−i32−1−i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i31−i31−i3−1+i321−i31−i300000000−1+i32−1+i3200-4-4-42-1-1222-12200000000-1-1002+2i32+2i32+2i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3000000001+i321+i32002−2i32−2i32−2i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3000000001−i321−i3200
χ13544-41-2-21-1-12002-2-1-111000000−2−2i3−2−2i32+2i3−1−i321+i31+i3−1−i321+i321+i32−1−i300−1−i31+i31+i321+i32−1−i32−1−i32000000−2+2i3−2+2i32−2i3−1+i321−i31−i3−1+i321−i321−i32−1+i300−1+i31−i31−i321−i32−1+i32−1+i32000000-4-44-122-111-200-2211-1-10000002+2i32+2i3−2−2i31+i32−1−i3−1−i31+i32−1−i32−1−i321+i3001+i3−1−i3−1−i32−1−i321+i321+i320000002−2i32−2i3−2+2i31−i32−1+i3−1+i31−i32−1+i32−1+i321−i3001−i3−1+i3−1+i32−1+i321−i321−i32000000
χ13644-41-2-21-1-1200-2211-1-1000000−2−2i3−2−2i32+2i3−1−i321+i31+i3−1−i321+i321+i32−1−i3001+i3−1−i3−1−i32−1−i321+i321+i32000000−2+2i3−2+2i32−2i3−1+i321−i31−i3−1+i321−i321−i32−1+i3001−i3−1+i3−1+i32−1+i321−i321−i32000000-4-44-122-111-2002-2-1-1110000002+2i32+2i3−2−2i31+i32−1−i3−1−i31+i32−1−i32−1−i321+i300−1−i31+i31+i321+i32−1−i32−1−i320000002−2i32−2i3−2+2i31−i32−1+i3−1+i31−i32−1+i32−1+i321−i300−1+i31−i31−i321−i32−1+i32−1+i32000000
χ13744-4-211-222-12-200000000-1100−2−2i3−2−2i32+2i31+i3−1−i32−1−i321+i3−1−i3−1−i31+i32−1−i31+i3000000001+i32−1−i3200−2+2i3−2+2i32−2i31−i3−1+i32−1+i321−i3−1+i3−1+i31−i32−1+i31−i3000000001−i32−1+i3200-4-442-1-12-2-21-22000000001-1002+2i32+2i3−2−2i3−1−i31+i321+i32−1−i31+i31+i3−1−i321+i3−1−i300000000−1−i321+i32002−2i32−2i3−2+2i3−1+i31−i321−i32−1+i31−i31−i3−1+i321−i3−1+i300000000−1+i321−i3200
χ13844-4-211-222-1-22000000001-100−2−2i3−2−2i32+2i31+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i3−1−i300000000−1−i321+i3200−2+2i3−2+2i32−2i31−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i3−1+i300000000−1+i321−i3200-4-442-1-12-2-212-200000000-11002+2i32+2i3−2−2i3−1−i31+i321+i32−1−i31+i31+i3−1−i32−1−i31+i3000000001+i32−1−i32002−2i32−2i3−2+2i3−1+i31−i321−i32−1+i31−i31−i3−1+i32−1+i31−i3000000001−i32−1+i3200
χ1394-401-22-13i−3i00000−i3i33−3000000−2−2i32+2i30−1−i321+i3−1−i31+i323ζ11−3ζ1100000−3+i323−i322ζ7+ζ11−2ζ7−ζ11000000−2+2i32−2i30−1+i321−i3−1+i31−i323ζ7−3ζ7000003+i32−3−i32−ζ7−2ζ11ζ7+2ζ11000000-440-12-21−3i3i00000i3−i3−330000002+2i3−2−2i301+i32−1−i31+i3−1−i32−3ζ113ζ11000003−i32−3+i32−2ζ7−ζ112ζ7+ζ110000002−2i3−2+2i301−i32−1+i31−i3−1+i32−3ζ73ζ700000−3−i323+i32ζ7+2ζ11−ζ7−2ζ11000000
χ1404-401-22-13i−3i00000i3−i3−33000000−2−2i32+2i30−1−i321+i3−1−i31+i323ζ11−3ζ11000003−i32−3+i32−2ζ7−ζ112ζ7+ζ11000000−2+2i32−2i30−1+i321−i3−1+i31−i323ζ7−3ζ700000−3−i323+i32ζ7+2ζ11−ζ7−2ζ11000000-440-12-21−3i3i00000−i3i33−30000002+2i3−2−2i301+i32−1−i31+i3−1−i32−3ζ113ζ1100000−3+i323−i322ζ7+ζ11−2ζ7−ζ110000002−2i3−2+2i301−i32−1+i31−i3−1+i32−3ζ73ζ7000003+i32−3−i32−ζ7−2ζ11ζ7+2ζ11000000
χ1414-401-22-1−3i3i00000−i3i3−33000000−2−2i32+2i30−1−i321+i3−1−i31+i32−3ζ113ζ1100000−3+i323−i32−2ζ7−ζ112ζ7+ζ11000000−2+2i32−2i30−1+i321−i3−1+i31−i32−3ζ73ζ7000003+i32−3−i32ζ7+2ζ11−ζ7−2ζ11000000-440-12-213i−3i00000i3−i33−30000002+2i3−2−2i301+i32−1−i31+i3−1−i323ζ11−3ζ11000003−i32−3+i322ζ7+ζ11−2ζ7−ζ110000002−2i3−2+2i301−i32−1+i31−i3−1+i323ζ7−3ζ700000−3−i323+i32−ζ7−2ζ11ζ7+2ζ11000000
χ1424-401-22-1−3i3i00000i3−i33−3000000−2−2i32+2i30−1−i321+i3−1−i31+i32−3ζ113ζ11000003−i32−3+i322ζ7+ζ11−2ζ7−ζ11000000−2+2i32−2i30−1+i321−i3−1+i31−i32−3ζ73ζ700000−3−i323+i32−ζ7−2ζ11ζ7+2ζ11000000-440-12-213i−3i00000−i3i3−330000002+2i3−2−2i301+i32−1−i31+i3−1−i323ζ11−3ζ1100000−3+i323−i32−2ζ7−ζ112ζ7+ζ110000002−2i3−2+2i301−i32−1+i31−i3−1+i323ζ7−3ζ7000003+i32−3−i32ζ7+2ζ11−ζ7−2ζ11000000
χ1434-4044-4-400000000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i300000000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i300000000000000000-440-4-444000000000000000002+2i3−2−2i302+2i32+2i3−2−2i3−2−2i3000000000000000002−2i3−2+2i302−2i32−2i3−2+2i3−2+2i300000000000000000
χ1448-80-42-2400000000000000000−4−4i34+4i302+2i3−1−i31+i3−2−2i300000000000000000−4+4i34−4i302−2i3−1+i31−i3−2+2i300000000000000000-8804-22-4000000000000000004+4i3−4−4i30−2−2i31+i3−1−i32+2i3000000000000000004−4i3−4+4i30−2+2i31−i3−1+i32−2i300000000000000000

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