Finite Group Databasebeta

← Group #13157803

Character table — Group #13157803

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222222222444444444444444444444444444412121212121212121212121224242424242472721111222222222222224444444444444444444444444444121212121212121212121212242424242424727211112222222222222244444444444444444444444444441212121212121212121212122424242424247272
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-11-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-11-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-11-1
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-11
χ71111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-11
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χ8422222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-221100-1-133−3−300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ221−i3−1+i3−1+i32−1+i32001−i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ221+i3−1−i3−1−i32−1−i32001+i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000
χ852222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−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−i32000000000000−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+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+i32000000000000−1−i3−1−i31+i321+i321+i321+i3200
χ862222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−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−i320000000000001−i31−i3−1+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+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+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+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200
χ872222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000002-2-1-11100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−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+i32000000000000−1+i31−i31−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+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+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−i32000000000000−1−i31+i31+i321+i32−1−i32−1−i3200
χ882222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000000000000-2211-1-100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−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+i320000000000001−i3−1+i3−1+i32−1+i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+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−i320000000000001+i3−1−i3−1−i32−1−i321+i321+i3200
χ8922-2-2222-2-2-222-2-222-2-22-2-2200222-2-2-2000000000000000000002i−2i002i−2i2i−2i00000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i3000000000000000000002ζ14−2ζ14002ζ14−2ζ142ζ14−2ζ1400000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i3000000000000000000002ζ22−2ζ22002ζ22−2ζ222ζ22−2ζ2200000000
χ9022-2-2222-2-2-222-2-222-2-22-2-2200222-2-2-200000000000000000000−2i2i00−2i2i−2i2i00000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i300000000000000000000−2ζ142ζ1400−2ζ142ζ14−2ζ142ζ1400000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i300000000000000000000−2ζ222ζ2200−2ζ222ζ22−2ζ222ζ2200000000
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χ1381111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-11−1−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+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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+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+i32−1+i321−i321−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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ1391111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-11−1−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+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−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+i321−i321−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ1401111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1111-1−1−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+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+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−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ141222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002-22200-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i31+i31+i30000000000000000−1−i31+i3−1−i3−1−i3001+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i31−i31−i30000000000000000−1+i31−i3−1+i3−1+i3001−i31−i3000000000000
χ142222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-22-2-20022000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i31+i31+i300000000000000001+i3−1−i31+i31+i300−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i31−i31−i300000000000000001−i3−1+i31−i31−i300−1+i3−1+i3000000000000
χ14322222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+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+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−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−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000
χ14422222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-211111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+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+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−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−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ14522222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122-1-1-2-2-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i31+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−i32−1−i3−1−i31+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i31−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+i32−1+i3−1+i31−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ14622222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2112211-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i31+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−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i31−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+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i3200000000
χ14722222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−32-2-1-1001133−3−300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−1−i31+i31+i321+i3200−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−1+i31−i31−i321−i3200−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000
χ14822222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-221100-1-1−3−33300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ221+i3−1−i3−1−i32−1−i32001+i321+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ221−i3−1+i3−1+i32−1+i32001−i321−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000
χ14922222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−333332-2-1-10011−3−33300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−1−i31+i31+i321+i3200−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−1+i31−i31−i321−i3200−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000
χ15022222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-221100-1-133−3−300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ221+i3−1−i3−1−i32−1−i32001+i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ221−i3−1+i3−1+i32−1+i32001−i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000
χ1512222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+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+i32000000000000−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−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−i32000000000000−1+i3−1+i31−i321−i321−i321−i3200
χ1522222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+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+i320000000000001+i31+i3−1−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−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−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−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200
χ1532222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000002-2-1-11100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+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−i32000000000000−1−i31+i31+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−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−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+i32000000000000−1+i31−i31−i321−i32−1+i32−1+i3200
χ1542222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000000000000-2211-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+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−i320000000000001+i3−1−i3−1−i32−1−i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−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+i320000000000001−i3−1+i3−1+i32−1+i321−i321−i3200
χ15522-2-2222-2-2-222-2-222-2-22-2-2200222-2-2-2000000000000000000002i−2i002i−2i2i−2i00000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i3000000000000000000002ζ22−2ζ22002ζ22−2ζ222ζ22−2ζ2200000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i3000000000000000000002ζ14−2ζ14002ζ14−2ζ142ζ14−2ζ1400000000
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χ15722-2-222-22-2-222-2-2-2-2222-2-222-2-2-2-22222-22-222-2-222-2-222-2-200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000000000
χ15822-2-222-22-2-222-2-2-2-2222-2-22-22-2-2-2222-22-22-2-222-2-222-2-22200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000000000000000
χ15922-2-22-12-2112-1-2-2-1-111-111-1002-1-1-2113−3−33000033−3−3−3−33300−i3i32i−2i−i3i3−ii−ii00000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i32−1−i32−1−i31+i321+i31+i31+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3200−1−i31+i321+i321+i3−1−i32−1−i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ2200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−3+i323−i322ζ22−2ζ22−3+i323−i32−ζ22ζ22−ζ22ζ2200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i32−1+i32−1+i31−i321−i31−i31−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3200−1+i31−i321−i321−i3−1+i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22003+i32−3−i322ζ14−2ζ143+i32−3−i32−ζ14ζ14−ζ14ζ1400000000
χ16022-2-22-12-2112-1-2-2-1-111-111-1002-1-1-2113−3−33000033−3−3−3−33300i3−i3−2i2ii3−i3i−ii−i00000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i32−1−i32−1−i31+i321+i31+i31+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3200−1−i31+i321+i321+i3−1−i32−1−i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ2200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22003−i32−3+i32−2ζ222ζ223−i32−3+i32ζ22−ζ22ζ22−ζ2200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i32−1+i32−1+i31−i321−i31−i31−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3200−1+i31−i321−i321−i3−1+i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−3−i323+i32−2ζ142ζ14−3−i323+i32ζ14−ζ14ζ14−ζ1400000000
χ16122-2-22-12-2112-1-2-2-1-111-111-1002-1-1-211−333−30000−3−33333−3−300−i3i3−2i2i−i3i3i−ii−i00000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i32−1−i32−1−i31+i321+i31+i31+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3200−1−i31+i321+i321+i3−1−i32−1−i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−3+i323−i32−2ζ222ζ22−3+i323−i32ζ22−ζ22ζ22−ζ2200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i32−1+i32−1+i31−i321−i31−i31−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3200−1+i31−i321−i321−i3−1+i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22003+i32−3−i32−2ζ142ζ143+i32−3−i32ζ14−ζ14ζ14−ζ1400000000
χ16222-2-22-12-2112-1-2-2-1-111-111-1002-1-1-211−333−30000−3−33333−3−300i3−i32i−2ii3−i3−ii−ii00000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i32−1−i32−1−i31+i321+i31+i31+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3200−1−i31+i321+i321+i3−1−i32−1−i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22003−i32−3+i322ζ22−2ζ223−i32−3+i32−ζ22ζ22−ζ22ζ2200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i32−1+i32−1+i31−i321−i31−i31−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3200−1+i31−i321−i321−i3−1+i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−3−i323+i322ζ14−2ζ14−3−i323+i32−ζ14ζ14−ζ14ζ1400000000
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χ1984-4-44-2-2002-2222-2−232323−231-11-10003−30−330000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ2300000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i300−1−i31+i3−1−i3−1−i3−1−i31+i3−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ22−1−i321+i32−1−i321+i320002ζ14+ζ22−2ζ14−ζ220−2ζ14−ζ222ζ14+ζ2200002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−ζ5+ζ7−2ζ13−ζ23ζ5−ζ7+2ζ13+ζ23ζ5−ζ7+2ζ13+ζ23−ζ5+ζ7−2ζ13−ζ23−ζ5−2ζ7+ζ13−ζ23ζ5+2ζ7−ζ13+ζ23ζ5+2ζ7−ζ13+ζ23−ζ5−2ζ7+ζ13−ζ2300000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i300−1+i31−i3−1+i3−1+i3−1+i31−i32ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ22−1+i321−i32−1+i321−i32000−ζ14−2ζ22ζ14+2ζ220ζ14+2ζ22−ζ14−2ζ220000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5+ζ7+ζ13+2ζ23ζ5−ζ7−ζ13−2ζ23ζ5−ζ7−ζ13−2ζ23−ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13−ζ23−2ζ5−ζ7−ζ13+ζ23−2ζ5−ζ7−ζ13+ζ232ζ5+ζ7+ζ13−ζ2300000000000000000000

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