Finite Group Databasebeta

← Group #13158499

Character table — Group #13158499

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222224444444466666666888888888881212121212121212181818182424242424247211112222222222444444446666666688888888888121212121212121218181818242424242424721111222222222244444444666666668888888888812121212121212121818181824242424242472
order12223344666666366612121212444488882666666661212121212122424242488882466121243666331212666666366612121212121212122424242466666666612121212121224242424242424246126612121236663312126666663666121212121212121224242424666666666121212121212242424242424242461266121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-11111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-11111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1
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χ1722222-1-2-222-1-1-12-1-1-1-1-211-2-2-2220000000−i3i3−i3−i3i3i31111-1-10000000000i3−i300022222-1-2-222-1-1-12-1-1-1-1-211-2-2-2220000000−i3i3−i3−i3i3i31111-1-10000000000i3−i300022222-1-2-222-1-1-12-1-1-1-1-211-2-2-2220000000−i3i3−i3−i3i3i31111-1-10000000000i3−i3000
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χ192222-1222-1-1222-1-1-1-1-1-122-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-102222-1222-1-1222-1-1-1-1-1-122-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-102222-1222-1-1222-1-1-1-1-1-122-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-10
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χ2322-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-2000000002i2i−2i−2i000000022-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-2000000002i2i−2i−2i000000022-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-2000000002i2i−2i−2i0000000
χ2422-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-200000000−2i−2i2i2i000000022-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-200000000−2i−2i2i2i000000022-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-200000000−2i−2i2i2i0000000
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χ2722-2-2-12-221-12-2-21-111-1-1-22100002i2i−2i−2i0−i3i300−i3i3−i3i31-10000−i−iii000000003−3022-2-2-12-221-12-2-21-111-1-1-22100002i2i−2i−2i0−i3i300−i3i3−i3i31-10000−i−iii000000003−3022-2-2-12-221-12-2-21-111-1-1-22100002i2i−2i−2i0−i3i300−i3i3−i3i31-10000−i−iii000000003−30
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χ6411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111−1+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+i321−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−i321−i321−i321−i321−i321−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−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32
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χ661111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+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−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
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χ681111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ69222222-2-22222222222-2-2-2-222-2-20000000000000-2-222-2-2000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i300000000000001−i31−i3−1+i3−1+i31−i31−i3000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i300000000000001+i31+i3−1−i3−1−i31+i31+i3000000000000000
χ70222222-2-22222222222-2-2-2-2-2-2220000000000000-2-2-2-222000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i300000000000001−i31−i31−i31−i3−1+i3−1+i3000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i300000000000001+i31+i31+i31+i3−1−i3−1−i3000000000000000
χ7122222-12222-1-1-12-1-1-1-12-1-1222220000222-1-1-1-1-1-1-1-1-1-1-1-10000000020-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i301−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i301+i321+i32000
χ7222222-12222-1-1-12-1-1-1-12-1-1222220000-2-2-2111111-1-1-1-1-1-100000000-2011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32000000001−i30−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32000000001+i30−1−i32−1−i32000
χ7322222-12222-1-1-12-1-1-1-12-1-12-2-2-2-20000222-1-1-1-1-1-1-1-1111100000000-2011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i30000−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000001−i30−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i30000−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000001+i30−1−i32−1−i32000
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χ13722222-1-2-222-1-1-12-1-1-1-1-211-2-2-2220000000−i3i3−i3−i3i3i31111-1-10000000000i3−i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i31+i31+i3−1−i3−1−i30000000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000003−i32−3+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i31−i3−1+i3−1+i300000003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000−3−i323+i32000
χ13822222-1-2-222-1-1-12-1-1-1-1-211-2-2-2220000000i3−i3i3i3−i3−i31111-1-10000000000−i3i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i31+i31+i3−1−i3−1−i300000003−i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000−3+i323−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i31−i3−1+i3−1+i30000000−3−i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000003+i32−3−i32000
χ1392222-1222-1-1222-1-1-1-1-1-122-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-10−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200001+i321+i321+i321+i3200000−1−i3001+i321+i320−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200001−i321−i321−i321−i3200000−1+i3001−i321−i320
χ1402222-1222-1-1222-1-1-1-1-1-122-100002222-211-2-21111-1-10000-1-1-1-100000-200110−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i320000−1−i3−1−i3−1−i3−1−i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i321+i321+i321+i32000001+i300−1−i32−1−i320−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i320000−1+i3−1+i3−1+i3−1+i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i321−i321−i321−i32000001−i300−1+i32−1+i320
χ1412222-1222-1-1222-1-1-1-1-1-122-10000-2-2-2-22-1-122-1-1-1-1-1-10000111100000-200110−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i3200001+i31+i31+i31+i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32000001+i300−1−i32−1−i320−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i3200001−i31−i31−i31−i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32000001−i300−1+i32−1+i320
χ1422222-1222-1-1222-1-1-1-1-1-122-10000-2-2-2-2-211-2-21111-1-10000111100000200-1-10−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i3200001+i31+i31+i31+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i32−1−i32−1−i32−1−i3200000−1−i3001+i321+i320−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i3200001−i31−i31−i31−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i32−1+i32−1+i32−1+i3200000−1+i3001−i321−i320
χ14322-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-2000000002i2i−2i−2i0000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i300000000000000000−1−i31+i3000000002ζ222ζ22−2ζ22−2ζ220000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i300000000000000000−1+i31−i3000000002ζ142ζ14−2ζ14−2ζ140000000
χ14422-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-200000000−2i−2i2i2i0000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i300000000000000000−1−i31+i300000000−2ζ22−2ζ222ζ222ζ220000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i300000000000000000−1+i31−i300000000−2ζ14−2ζ142ζ142ζ140000000
χ14522-2-222-22-222-2-2-22-2-222-22-200002i2i−2i−2i000000000-2200002i2i−2i−2i00000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i300002ζ222ζ22−2ζ22−2ζ220000000001+i3−1−i300002ζ222ζ22−2ζ22−2ζ2200000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i300002ζ142ζ14−2ζ14−2ζ140000000001−i3−1+i300002ζ142ζ14−2ζ14−2ζ1400000000000
χ14622-2-222-22-222-2-2-22-2-222-22-20000−2i−2i2i2i000000000-220000−2i−2i2i2i00000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000−2ζ22−2ζ222ζ222ζ220000000001+i3−1−i30000−2ζ22−2ζ222ζ222ζ2200000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000−2ζ14−2ζ142ζ142ζ140000000001−i3−1+i30000−2ζ14−2ζ142ζ142ζ1400000000000
χ14722-2-2-12-221-12-2-21-111-1-1-22100002i2i−2i−2i0−i3i300−i3i3−i3i31-10000−i−iii000000003−30−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i3−1−i321+i32−1−i31+i31+i3−1−i321+i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i3200002ζ222ζ22−2ζ22−2ζ220−3+i323−i3200−3+i323−i32−3+i323−i32−1−i321+i320000−ζ22−ζ22ζ22ζ22000000002ζ14+ζ22−2ζ14−ζ220−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i3−1+i321−i32−1+i31−i31−i3−1+i321−i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i3200002ζ142ζ14−2ζ14−2ζ1403+i32−3−i32003+i32−3−i323+i32−3−i32−1+i321−i320000−ζ14−ζ14ζ14ζ1400000000−ζ14−2ζ22ζ14+2ζ220
χ14822-2-2-12-221-12-2-21-111-1-1-22100002i2i−2i−2i0i3−i300i3−i3i3−i31-10000−i−iii00000000−330−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i3−1−i321+i32−1−i31+i31+i3−1−i321+i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i3200002ζ222ζ22−2ζ22−2ζ2203−i32−3+i32003−i32−3+i323−i32−3+i32−1−i321+i320000−ζ22−ζ22ζ22ζ2200000000−2ζ14−ζ222ζ14+ζ220−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i3−1+i321−i32−1+i31−i31−i3−1+i321−i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i3200002ζ142ζ14−2ζ14−2ζ140−3−i323+i3200−3−i323+i32−3−i323+i32−1+i321−i320000−ζ14−ζ14ζ14ζ1400000000ζ14+2ζ22−ζ14−2ζ220
χ14922-2-2-12-221-12-2-21-111-1-1-2210000−2i−2i2i2i0−i3i300−i3i3−i3i31-10000ii−i−i00000000−330−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i3−1−i321+i32−1−i31+i31+i3−1−i321+i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i320000−2ζ22−2ζ222ζ222ζ220−3+i323−i3200−3+i323−i32−3+i323−i32−1−i321+i320000ζ22ζ22−ζ22−ζ2200000000−2ζ14−ζ222ζ14+ζ220−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i3−1+i321−i32−1+i31−i31−i3−1+i321−i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i320000−2ζ14−2ζ142ζ142ζ1403+i32−3−i32003+i32−3−i323+i32−3−i32−1+i321−i320000ζ14ζ14−ζ14−ζ1400000000ζ14+2ζ22−ζ14−2ζ220
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.