Finite Group Databasebeta

← Group #13158405

Character table — Group #13158405

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111111112222222222222222444444444444444444444444441212121212121212121212121212121212121212121212123636363611111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order1222222233666666666666663446666666121212121212121212121212121212122244444466661212121212121212121212122222366666663366666666666666312126666666121212121212121212121212121212126612121212121266661212121212121212121212126666366666663366666666666666312126666666121212121212121212121212121212126612121212121266661212121212121212121212126666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
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χ9222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ10222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ11222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000
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χ1422222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1522222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-11111000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-11111000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000
χ1622222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-10000
χ172222-2-2-2-222222-2222-2-2-2-2-2-2-2200222-2-2-2-20000000000000000002i−2i000000002i2i−2i−2i0000000000002222-2-2-2-222222-2222-2-2-2-2-2-2-2200222-2-2-2-20000000000000000002i−2i000000002i2i−2i−2i0000000000002222-2-2-2-222222-2222-2-2-2-2-2-2-2200222-2-2-2-20000000000000000002i−2i000000002i2i−2i−2i000000000000
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χ192222-2-2-2-22-1222-2-1-1-111-21-2-21-100-1-1-11111000033−3−33333−3−3−3−3002i−2i0000−i3−i3i3i3−i−iii0000000000002222-2-2-2-22-1222-2-1-1-111-21-2-21-100-1-1-11111000033−3−33333−3−3−3−3002i−2i0000−i3−i3i3i3−i−iii0000000000002222-2-2-2-22-1222-2-1-1-111-21-2-21-100-1-1-11111000033−3−33333−3−3−3−3002i−2i0000−i3−i3i3i3−i−iii000000000000
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χ3422-2-2-2-222222-2-2-22-2-222-2-222-22002-2-2-222-20000000000000000-22000000-222-2000000000000000022-2-2-2-222222-2-2-22-2-222-2-222-22002-2-2-222-20000000000000000-22000000-222-2000000000000000022-2-2-2-222222-2-2-22-2-222-2-222-22002-2-2-222-20000000000000000-22000000-222-20000000000000000
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χ3622-2-2-2-2222-12-2-2-2-111-1-1-21221-100-1111-1-1100003−3−3333−3−3−3−333-220000001-1-11−333−300000000000022-2-2-2-2222-12-2-2-2-111-1-1-21221-100-1111-1-1100003−3−3333−3−3−3−333-220000001-1-11−333−300000000000022-2-2-2-2222-12-2-2-2-111-1-1-21221-100-1111-1-1100003−3−3333−3−3−3−333-220000001-1-11−333−3000000000000
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χ90222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000−1+i3−1+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−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−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+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i30000−1+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−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+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−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000
χ9122222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−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−i320000−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+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+i320000−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i320000
χ9222222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−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−i3200001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+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+i3200001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ9322222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−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+i320000−1+i3−1+i31−i31−i3000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+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−i320000−1−i3−1−i31+i31+i3000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ9422222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−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+i3200001−i31−i3−1+i3−1+i300000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+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−i3200001+i31+i3−1−i3−1−i300000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ952222-2-2-2-222222-2222-2-2-2-2-2-2-2200222-2-2-2-20000000000000000002i−2i000000002i2i−2i−2i000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000002ζ7−2ζ7000000002ζ72ζ7−2ζ7−2ζ7000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000002ζ11−2ζ11000000002ζ112ζ11−2ζ11−2ζ11000000000000
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χ1611111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−1−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−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+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−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ1621111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111−1−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−i32−1−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−i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i321+i321+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+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−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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1631111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−1−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−i32−1−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−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+i321+i321+i321+i321+i321+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+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−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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
χ1641111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1−1−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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
χ165222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000−1−i3−1−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+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−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−i300001+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+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−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+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+i300001−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ166222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000−1−i3−1−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+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−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+i30000−1−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+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+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−i30000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
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χ168222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000−1−i3−1−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+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+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−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i30000−1−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+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−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+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ16922222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+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+i320000−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−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−i320000−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i320000
χ17022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+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+i3200001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−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−i3200001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
χ17122222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+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−i320000−1−i3−1−i31+i31+i3000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−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+i320000−1+i3−1+i31−i31−i3000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ17222222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+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−i3200001+i31+i3−1−i3−1−i300000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−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+i3200001−i31−i3−1+i3−1+i300000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ1732222-2-2-2-222222-2222-2-2-2-2-2-2-2200222-2-2-2-20000000000000000002i−2i000000002i2i−2i−2i000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000002ζ11−2ζ11000000002ζ112ζ11−2ζ11−2ζ11000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000002ζ7−2ζ7000000002ζ72ζ7−2ζ7−2ζ7000000000000
χ1742222-2-2-2-222222-2222-2-2-2-2-2-2-2200222-2-2-2-2000000000000000000−2i2i00000000−2i−2i2i2i000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000−2ζ112ζ1100000000−2ζ11−2ζ112ζ112ζ11000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000−2ζ72ζ700000000−2ζ7−2ζ72ζ72ζ7000000000000
χ1752222-2-2-2-22-1222-2-1-1-111-21-2-21-100-1-1-11111000033−3−33333−3−3−3−3002i−2i0000−i3−i3i3i3−i−iii000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i321+i3−1−i321+i31+i3−1−i321+i32001+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11002ζ11−2ζ110000−3+i32−3+i323−i323−i32−ζ11−ζ11ζ11ζ11000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i321−i3−1+i321−i31−i3−1+i321−i32001−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11002ζ7−2ζ700003+i323+i32−3−i32−3−i32−ζ7−ζ7ζ7ζ7000000000000
χ1762222-2-2-2-22-1222-2-1-1-111-21-2-21-100-1-1-11111000033−3−33333−3−3−3−300−2i2i0000i3i3−i3−i3ii−i−i000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i321+i3−1−i321+i31+i3−1−i321+i32001+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ1100−2ζ112ζ1100003−i323−i32−3+i32−3+i32ζ11ζ11−ζ11−ζ11000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i321−i3−1+i321−i31−i3−1+i321−i32001−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ1100−2ζ72ζ70000−3−i32−3−i323+i323+i32ζ7ζ7−ζ7−ζ7000000000000
χ1772222-2-2-2-22-1222-2-1-1-111-21-2-21-100-1-1-111110000−3−333−3−3−3−33333002i−2i0000i3i3−i3−i3−i−iii000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i321+i3−1−i321+i31+i3−1−i321+i32001+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ11002ζ11−2ζ1100003−i323−i32−3+i32−3+i32−ζ11−ζ11ζ11ζ11000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i321−i3−1+i321−i31−i3−1+i321−i32001−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11002ζ7−2ζ70000−3−i32−3−i323+i323+i32−ζ7−ζ7ζ7ζ7000000000000
χ1782222-2-2-2-22-1222-2-1-1-111-21-2-21-100-1-1-111110000−3−333−3−3−3−3333300−2i2i0000−i3−i3i3i3ii−i−i000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i321+i3−1−i321+i31+i3−1−i321+i32001+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ112ζ7+ζ1100−2ζ112ζ110000−3+i32−3+i323−i323−i32ζ11ζ11−ζ11−ζ11000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i321−i3−1+i321−i31−i3−1+i321−i32001−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−2ζ1100−2ζ72ζ700003+i323+i32−3−i32−3−i32ζ7ζ7−ζ7−ζ7000000000000
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χ2334-4-44-444-4-2-222-2-222-2-2222-22-2100-1-1111-1-123−23−23230000−333−3−333−30000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i32001+i321+i32−1−i32−1−i32−1−i321+i321+i324ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ110000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i32001−i321−i32−1+i32−1+i32−1+i321−i321−i32−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ110000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000000000000000000000000000
χ2344-4-44-444-4-2-222-2-222-2-2222-22-2100-1-1111-1-1−232323−2300003−3−333−3−330000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i32001+i321+i32−1−i32−1−i32−1−i321+i321+i32−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ1100002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i32001−i321−i32−1+i32−1+i32−1+i321−i321−i322ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ110000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000000000000000000000000000

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