Finite Group Databasebeta

← Group #11786226

Character table — Group #11786226

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222244444444444466666666666666668888888888882424242411111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order122222223444444444444666666612121212121212121212121288888888888888884444121212121212121244443666666631212121212121212121212126666666121212121212121212121212242424242424242424242424242424241212121212121212121212121212121236666666312121212121212121212121266666661212121212121212121212122424242424242424242424242424242412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ101-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ111-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii
χ121-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i1-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i
χ131-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ141-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ151-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ161-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii1-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ17222222222-2-222-2-222-2-2-2-22222222-2-2-2-222-2-222-2-200000000000000000000000000000000222222222-2-222-2-222-2-2-2-22222222-2-2-2-222-2-222-2-200000000000000000000000000000000222222222-2-222-2-222-2-2-2-22222222-2-2-2-222-2-222-2-200000000000000000000000000000000
χ18222222222-2-2-2-222-2-222-2-22222222-2-2-2-2-2-222-2-22200000000000000000000000000000000222222222-2-2-2-222-2-222-2-22222222-2-2-2-2-2-222-2-22200000000000000000000000000000000222222222-2-2-2-222-2-222-2-22222222-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ1922222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2122222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ2222222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ2322222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2422222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2522222222-1-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1111111-1-111-1-100000000000000000000−i3i3−i3i3i3−i3i3−i3000022222222-1-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1111111-1-111-1-100000000000000000000−i3i3−i3i3i3−i3i3−i3000022222222-1-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1111111-1-111-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ2622222222-1-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1111111-1-111-1-100000000000000000000i3−i3i3−i3−i3i3−i3i3000022222222-1-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1111111-1-111-1-100000000000000000000i3−i3i3−i3−i3i3−i3i3000022222222-1-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1111111-1-111-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ27222-22-2-2-2200002-2002-20022-22-2-2-20000002-2002-222−2−222−2−222−2−222−2−20000000000000000222-22-2-2-2200002-2002-20022-22-2-2-20000002-2002-222−2−222−2−222−2−222−2−20000000000000000222-22-2-2-2200002-2002-20022-22-2-2-20000002-2002-222−2−222−2−222−2−222−2−20000000000000000
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χ3122-22-22-2-22002-2002-200002-22-22-2-200002-2002-2002−22−22−22−22−22−22−22−2000000000000000022-22-22-2-22002-2002-200002-22-22-2-200002-2002-2002−22−22−22−22−22−22−22−2000000000000000022-22-22-2-22002-2002-200002-22-22-2-200002-2002-2002−22−22−22−22−22−22−22−20000000000000000
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χ402-222-2-22-222-200000000-22-222-2-22-2-222-200000000-222-22-2-220000000000000000000000002-222-2-22-222-200000000-22-222-2-22-2-222-200000000-222-22-2-220000000000000000000000002-222-2-22-222-200000000-22-222-2-22-2-222-200000000-222-22-2-22000000000000000000000000
χ412-222-2-22-22-22000000002-2-222-2-22-22-2-2200000000000000002-2-22-222-200000000000000002-222-2-22-22-22000000002-2-222-2-22-22-2-2200000000000000002-2-22-222-200000000000000002-222-2-22-22-22000000002-2-222-2-22-22-2-2200000000000000002-2-22-222-20000000000000000
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χ841-1-1-1111-11-1-11111-1-1-1-111-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22
χ851-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22
χ861-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22
χ871-1-1-1111-11-1-1-1-1-1-1111111-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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+i32−1+i32−1+i321−i321−i321−i321−i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+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−i32−1−i32−1−i321+i321+i321+i321+i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22
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χ89222222222-2-222-2-222-2-2-2-22222222-2-2-2-222-2-222-2-200000000000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000000000000000000000
χ90222222222-2-2-2-222-2-222-2-22222222-2-2-2-2-2-222-2-22200000000000000000000000000000000−1+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−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000000000000000000000000000−1−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+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000000000000000000000000000
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χ16422222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000000001+i31+i31+i31+i3−1−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+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000000001−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
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χ2114-444-4-44-4-24-400000000-442-2-222-222-2-220000000000000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i3−2−2i32+2i3000000002+2i3−2−2i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i30000000000000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i3−2+2i32−2i3000000002−2i3−2+2i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i30000000000000000000000000000000000000000
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χ2144-44-4-44-44-200-44004-400002-222-22-200002-200-220000000000000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3002+2i3−2−2i300−2−2i32+2i30000−1−i31+i3−1−i3−1−i31+i3−1−i31+i30000−1−i31+i3001+i3−1−i30000000000000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3002−2i3−2+2i300−2+2i32−2i30000−1+i31−i3−1+i3−1+i31−i3−1+i31−i30000−1+i31−i3001−i3−1+i30000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.