Finite Group Databasebeta

← Group #11791123

Character table — Group #11791123

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666888812121212242424242424242444441212121212121212444488882244366666663121212126666666242424241212121224242424242424241212121212121212121212121212121224242424661212366666663121212126666666242424241212121224242424242424241212121212121212121212121212121224242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ10111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-11-11111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-11-11111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-11-11
χ11111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-11-11111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-11-11111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-11-11
χ12111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1
χ13111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ14111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii−i−iiiii−i−i-111-1111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii−i−iiiii−i−i-111-1111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii−i−iiiii−i−i-111-1
χ15111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−iii−i−i−i−iii-111-1111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−iii−i−i−i−iii-111-1111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−iii−i−i−i−iii-111-1
χ16111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ17222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000
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χ2022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ23222-2-2-2-222-22-2222-2-2-22-20000-222-2000000000000000000002i−2i−2i2i00000000222-2-2-2-222-22-2222-2-2-22-20000-222-2000000000000000000002i−2i−2i2i00000000222-2-2-2-222-22-2222-2-2-22-20000-222-2000000000000000000002i−2i−2i2i00000000
χ24222-2-2-2-222-22-2222-2-2-22-20000-222-200000000000000000000−2i2i2i−2i00000000222-2-2-2-222-22-2222-2-2-22-20000-222-200000000000000000000−2i2i2i−2i00000000222-2-2-2-222-22-2222-2-2-22-20000-222-200000000000000000000−2i2i2i−2i00000000
χ25222-2-2-2-22-12-22-2-1-1111-1122-2-2-111-1-1-1-1-111112i−2i2i−2i−i−iii−i−iii000000000000222-2-2-2-22-12-22-2-1-1111-1122-2-2-111-1-1-1-1-111112i−2i2i−2i−i−iii−i−iii000000000000222-2-2-2-22-12-22-2-1-1111-1122-2-2-111-1-1-1-1-111112i−2i2i−2i−i−iii−i−iii000000000000
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χ292-2-22-2-22222-2-22-2-22-2-222000022-2-20000000000000000000000002-22-200002-2-22-2-22222-2-22-2-22-2-222000022-2-20000000000000000000000002-22-200002-2-22-2-22222-2-22-2-22-2-222000022-2-20000000000000000000000002-22-20000
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χ332-2-22-2-222-1-222-211-111-1-12-22-211-1-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000002-2-22-2-222-1-222-211-111-1-12-22-211-1-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000002-2-22-2-222-1-222-211-111-1-12-22-211-1-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000
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χ432-2-2-222-22-1-2-222111-1-1-11-222-21-11-111-1-1-1-11100003−3−33−333−30000000000002-2-2-222-22-1-2-222111-1-1-11-222-21-11-111-1-1-1-11100003−3−33−333−30000000000002-2-2-222-22-1-2-222111-1-1-11-222-21-11-111-1-1-1-11100003−3−33−333−3000000000000
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χ6811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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+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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ69111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32
χ70111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-11-11−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32
χ71111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-11-11−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32
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χ73111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i321+i321+i32−1−i32
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χ12811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ129111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32
χ130111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-11-11−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32
χ131111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-11-11−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32
χ132111-1-1-1-1111-11-111-1-1-11-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32
χ133111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i321−i321−i32−1+i32
χ134111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii−i−iiiii−i−i-111-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i321−i32
χ135111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−iii−i−i−i−iii-111-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i321−i32
χ136111-1-1-1-1111-11-111-1-1-11-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i32−1+i32
χ137222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000000000000000−1−i31+i3−1−i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000000000000000−1+i31−i3−1+i31−i300000000
χ138222222222-2-2-2-222222220000-2-2-2-200000000000000000000-22-2200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3000000000000000000001+i3−1−i31+i3−1−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3000000000000000000001−i3−1+i31−i3−1+i300000000
χ13922222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ14022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ14122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ14222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.