Finite Group Databasebeta

← Group #13157812

Character table — Group #13157812

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
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χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111
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χ1352222-1222-122-12-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-102200000-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+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+i320−1−i3−1−i3000001+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−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−i320−1+i3−1+i3000001−i321−i321−i321−i320000
χ1362222-1222-122-12-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-10-2-20000011110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+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+i3201+i31+i300000−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−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−i3201−i31−i300000−1+i32−1+i32−1+i32−1+i320000
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χ1382222-1222-122-12-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111110-220000011-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i31+i31+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−i3201+i3−1−i300000−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i31−i31−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+i3201−i3−1+i300000−1+i32−1+i321−i321−i320000
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χ1674-44-44-200-42-2-424-22-22000000000000006−6−666−66−6−66−660000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i31+i3002+2i3−1−i31+i32+2i3−1−i3−2−2i31+i3−1−i31+i3−1−i300000000000000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ230000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i31−i3002−2i3−1+i31−i32−2i3−1+i3−2+2i31−i3−1+i31−i3−1+i300000000000000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ230000000000000000
χ1684-44-44-200-42-2-424-22-2200000000000000−666−6−66−666−66−60000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i31+i3002+2i3−1−i31+i32+2i3−1−i3−2−2i31+i3−1−i31+i3−1−i3000000000000002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ230000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i31−i3002−2i3−1+i31−i32−2i3−1+i3−2+2i31−i3−1+i31−i3−1+i300000000000000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ230000000000000000
χ1694-44-4-24002-442-4-2-22-220000000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i60000000000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i300−1−i32+2i3−2−2i3−1−i32+2i31+i31+i3−1−i31+i3−1−i30000000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ230000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ230000000000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i300−1+i32−2i3−2+2i3−1+i32−2i31−i31−i3−1+i31−i3−1+i30000000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ230000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ230000000000000000
χ1704-44-4-24002-442-4-2-22-220000000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i60000000000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i300−1−i32+2i3−2−2i3−1−i32+2i31+i31+i3−1−i31+i3−1−i300000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ230000000000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i300−1+i32−2i3−2+2i3−1+i32−2i31−i31−i3−1+i31−i3−1+i30000000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ230000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ230000000000000000
χ1714-44-4-2-20022-222-21-11-100003i−3i00−3i3ii6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i3200003ζ22−3ζ2200−3ζ223ζ22−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ13ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ130000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i3200003ζ14−3ζ1400−3ζ143ζ14ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ232ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ13−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ130000000000000000
χ1724-44-4-2-20022-222-21-11-100003i−3i00−3i3i−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i3200003ζ22−3ζ2200−3ζ223ζ222ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ13−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ130000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i3200003ζ14−3ζ1400−3ζ143ζ14−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ132ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ130000000000000000
χ1734-44-4-2-20022-222-21-11-10000−3i3i003i−3ii6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i320000−3ζ223ζ22003ζ22−3ζ22−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ23−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ230000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i320000−3ζ143ζ14003ζ14−3ζ14ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ23ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ230000000000000000
χ1744-44-4-2-20022-222-21-11-10000−3i3i003i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i320000−3ζ223ζ22003ζ22−3ζ222ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ232ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ230000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i320000−3ζ143ζ14003ζ14−3ζ14−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ230000000000000000
χ1754-4-444-24-4-4224-2-4-222-2004-2-2-2-422200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i3−2−2i32+2i32+2i3−1−i3−1−i3−2−2i31+i32+2i31+i3−1−i3−1−i31+i300−2−2i31+i31+i31+i32+2i3−1−i3−1−i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i3−2+2i32−2i32−2i3−1+i3−1+i3−2+2i31−i32−2i31−i3−1+i3−1+i31−i300−2+2i31−i31−i31−i32−2i3−1+i3−1+i3−1+i300000000000000000000000000000000
χ1764-4-44-244-42-4-4-242-222-200-24-2-22-42200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3−2−2i3−2−2i32+2i3−1−i32+2i32+2i31+i3−2−2i3−1−i31+i3−1−i3−1−i31+i3001+i3−2−2i31+i31+i3−1−i32+2i3−1−i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3−2+2i3−2+2i32−2i3−1+i32−2i32−2i31−i3−2+2i3−1+i31−i3−1+i3−1+i31−i3001−i3−2+2i31−i31−i3−1+i32−2i3−1+i3−1+i300000000000000000000000000000000
χ1774-4-44-2-24-4222-2-221-1-1100-2-21122-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−2−2i32+2i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i321+i321+i32−1−i32001+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32000000003ζ223ζ22−3ζ22−3ζ22−3ζ22−3ζ223ζ223ζ220000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−2+2i32−2i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i321−i321−i32−1+i32001−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32000000003ζ143ζ14−3ζ14−3ζ14−3ζ14−3ζ143ζ143ζ140000000000000000
χ1784-4-44-2-24-4222-2-221-1-1100-2-21122-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−2−2i32+2i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i321+i321+i32−1−i32001+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i3200000000−3ζ22−3ζ223ζ223ζ223ζ223ζ22−3ζ22−3ζ220000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−2+2i32−2i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i321−i321−i32−1+i32001−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i3200000000−3ζ14−3ζ143ζ143ζ143ζ143ζ14−3ζ14−3ζ140000000000000000
χ1794-4-44-2-2-44222-2-221-1-114-422-1-1-2-211-2-222-2-2221111-1-1-1-10000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i32+2i3−2−2i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i321+i321+i32−1−i32−2−2i32+2i3−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i32−2i3−2+2i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i321−i321−i32−1+i32−2+2i32−2i3−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000000000
χ1804-4-44-2-2-44222-2-221-1-11-4422-1-1-2-21122-2-222-2-2-1-1-1-111110000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i32+2i3−2−2i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i321+i321+i32−1−i322+2i3−2−2i3−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i32−2i3−2+2i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i321−i321−i32−1+i322−2i3−2+2i3−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.