Finite Group Databasebeta

← Group #13157810

Character table — Group #13157810

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222222222444444444444444444444444444418181818181818182424242424242424242424241111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order122233446666668888366612121212121212122424242424242424242424242424242422448888244466121212121212366633121266666624242424366612121212121212122424242424242424242424242424242466121224242424612121266121212121212366633121266666624242424366612121212121212122424242424242424242424242424242466121224242424612121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ9222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000
χ10222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000
χ1122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002002-1-10000-1-122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002002-1-10000-1-122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002002-1-10000-1-1
χ1222222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-200-21100001122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-200-21100001122222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-200-211000011
χ1322222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000200-2-1-100001122222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000200-2-1-100001122222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000200-2-1-1000011
χ1422222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000-2002110000-1-122222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000-2002110000-1-122222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000-2002110000-1-1
χ152222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022000-1-1-1-1002222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022000-1-1-1-1002222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022000-1-1-1-100
χ162222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-20001111002222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-20001111002222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-2000111100
χ172222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000002-2000-1-111002222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000002-2000-1-111002222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000002-2000-1-11100
χ182222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000000-2200011-1-1002222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000000-2200011-1-1002222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000000-2200011-1-100
χ1922-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2002i−2i22−2−200000000000022-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2002i−2i22−2−200000000000022-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2002i−2i22−2−2000000000000
χ2022-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200−2i2i−2−22200000000000022-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200−2i2i−2−22200000000000022-2-222002-2-22-2-2−i2−i2i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200−2i2i−2−222000000000000
χ2122-2-222002-2-22-2-2i2i2−i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2002i−2i−2−22200000000000022-2-222002-2-22-2-2i2i2−i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2002i−2i−2−22200000000000022-2-222002-2-22-2-2i2i2−i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2002i−2i−2−222000000000000
χ2222-2-222002-2-22-2-2i2i2−i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200−2i2i22−2−200000000000022-2-222002-2-22-2-2i2i2−i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200−2i2i22−2−200000000000022-2-222002-2-22-2-2i2i2−i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200−2i2i22−2−2000000000000
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χ242-22-22200-22-2-22-2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2-2200i2−i2i2−i20000000000002-22-22200-22-2-22-2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2-2200i2−i2i2−i20000000000002-22-22200-22-2-22-2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2-2200i2−i2i2−i2000000000000
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χ272-2-22222-2-2-22-2-2200002-2-222222-2-2-2-2000000000000000000002i−2i−2i2i0000000000002-2-22222-2-2-22-2-2200002-2-222222-2-2-2-2000000000000000000002i−2i−2i2i0000000000002-2-22222-2-2-22-2-2200002-2-222222-2-2-2-2000000000000000000002i−2i−2i2i000000000000
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χ302-2-2222-22-2-22-2-22-222-22-2-22-2-2-2-22222-222-2-222-2-2-22222-2-2000000000000000000002-2-2222-22-2-22-2-22-222-22-2-22-2-2-2-22222-222-2-222-2-2-22222-2-2000000000000000000002-2-2222-22-2-22-2-22-222-22-2-22-2-2-2-22222-222-2-222-2-2-22222-2-200000000000000000000
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χ362-2-22-12-22-2-2-11122-2-22-111-11-211-12-1-1-111-12-2-22-1-11111-1-100000000000000−33−33002-2-22-12-22-2-2-11122-2-22-111-11-211-12-1-1-111-12-2-22-1-11111-1-100000000000000−33−33002-2-22-12-22-2-2-11122-2-22-111-11-211-12-1-1-111-12-2-22-1-11111-1-100000000000000−33−3300
χ372-2-22-12-22-2-2-1112-222-2-111-11-211-12-1-11-1-11-222-211-1-1-1-111000000000000003−3−33002-2-22-12-22-2-2-1112-222-2-111-11-211-12-1-11-1-11-222-211-1-1-1-111000000000000003−3−33002-2-22-12-22-2-2-1112-222-2-111-11-211-12-1-11-1-11-222-211-1-1-1-111000000000000003−3−3300
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χ3944444-2-4-4-2-2444-20000-2-2-2-2-4222-422200000000000000000000000000000000000044444-2-4-4-2-2444-20000-2-2-2-2-4222-422200000000000000000000000000000000000044444-2-4-4-2-2444-20000-2-2-2-2-4222-4222000000000000000000000000000000000000
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χ812222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022000-1-1-1-100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000−1+i3−1+i30001−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000−1−i3−1−i30001+i321+i321+i321+i3200
χ822222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-2000111100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000001−i31−i3000−1+i32−1+i32−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000001+i31+i3000−1−i32−1−i32−1−i32−1−i3200
χ832222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000002-2000-1-11100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000−1+i31−i30001−i321−i32−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000−1−i31+i30001+i321+i32−1−i32−1−i3200
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χ13911111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1−1−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−i321+i321+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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−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+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ14011111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−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+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ141222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i30000000000000000−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i30000000000000000−1+i3−1+i31−i31−i30000000000000000
χ142222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i300000000000000001+i31+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i300000000000000001−i31−i3−1+i3−1+i30000000000000000
χ14322222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002002-1-10000-1-1−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i300−1−i31+i321+i3200001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i300−1+i31−i321−i3200001−i321−i32
χ14422222-122-1-1222-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-200-211000011−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000001+i3001+i3−1−i32−1−i320000−1−i32−1−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000001−i3001−i3−1+i32−1+i320000−1+i32−1+i32
χ14522222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000200-2-1-1000011−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1−i3001+i31+i321+i320000−1−i32−1−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1+i3001−i31−i321−i320000−1+i32−1+i32
χ14622222-122-1-1222-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000-2002110000-1-1−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000001+i300−1−i3−1−i32−1−i3200001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000001−i300−1+i3−1+i32−1+i3200001−i321−i32
χ1472222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022000-1-1-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000−1−i3−1−i30001+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000−1+i3−1+i30001−i321−i321−i321−i3200
χ1482222-122222-1-1-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-2000111100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000001+i31+i3000−1−i32−1−i32−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000001−i31−i3000−1+i32−1+i32−1+i32−1+i3200
χ1492222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000002-2000-1-11100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000−1−i31+i30001+i321+i32−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000−1+i31−i30001−i321−i32−1+i32−1+i3200
χ1502222-122222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000000-2200011-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000001+i3−1−i3000−1−i32−1−i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000001−i3−1+i3000−1+i32−1+i321−i321−i3200
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.