Finite Group Databasebeta

← Group #11786271

Character table — Group #11786271

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424
order122222223444466666668888121212122424242424242424444412121212121212124444888844443666666631212121266666662424242412121212242424242424242412121212121212121212121212121212242424241212121236666666312121212666666624242424121212122424242424242424121212121212121212121212121212122424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i
χ101-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−ii−ii1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−ii−ii1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−ii−ii
χ111-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii
χ121-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i1-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i
χ131-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii
χ141-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i
χ151-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i
χ161-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii1-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii
χ17222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000
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χ2022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ232222-2-2-2-222-22-2-2-2222-2-22-22-2-22-2222-2-222-2-20000000000000000000000002222-2-2-2-222-22-2-2-2222-2-22-22-2-22-2222-2-222-2-20000000000000000000000002222-2-2-2-222-22-2-2-2222-2-22-22-2-22-2222-2-222-2-2000000000000000000000000
χ242222-2-2-2-222-22-2-2-2222-2-2-22-22-22-22-2-222-2-2220000000000000000000000002222-2-2-2-222-22-2-2-2222-2-2-22-22-22-22-2-222-2-2220000000000000000000000002222-2-2-2-222-22-2-2-2222-2-2-22-22-22-22-2-222-2-222000000000000000000000000
χ252222-2-2-2-22-22-22-2-2222-2-200002-22-20000000000000000000000002-22-200002222-2-2-2-22-22-22-2-2222-2-200002-22-20000000000000000000000002-22-200002222-2-2-2-22-22-22-2-2222-2-200002-22-20000000000000000000000002-22-20000
χ262222-2-2-2-22-22-22-2-2222-2-200002-22-2000000000000000000000000-22-2200002222-2-2-2-22-22-22-2-2222-2-200002-22-2000000000000000000000000-22-2200002222-2-2-2-22-22-22-2-2222-2-200002-22-2000000000000000000000000-22-220000
χ272222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-11100003−33−33−33−30000000000002222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-11100003−33−33−33−30000000000002222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-11100003−33−33−33−3000000000000
χ282222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-1110000−33−33−33−330000000000002222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-1110000−33−33−33−330000000000002222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-1110000−33−33−33−33000000000000
χ292222-2-2-2-2-12-22-211-1-1-111-22-221-11-111-1-111-1-100003−33−3−33−330000000000002222-2-2-2-2-12-22-211-1-1-111-22-221-11-111-1-111-1-100003−33−3−33−330000000000002222-2-2-2-2-12-22-211-1-1-111-22-221-11-111-1-111-1-100003−33−3−33−33000000000000
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χ312-2-222-2-2222-2-22-2-2-2-2222000022-2-20000000000000000000000002-2-2200002-2-222-2-2222-2-22-2-2-2-2222000022-2-20000000000000000000000002-2-2200002-2-222-2-2222-2-22-2-2-2-2222000022-2-20000000000000000000000002-2-220000
χ322-2-222-2-2222-2-22-2-2-2-2222000022-2-2000000000000000000000000-222-200002-2-222-2-2222-2-22-2-2-2-2222000022-2-2000000000000000000000000-222-200002-2-222-2-2222-2-22-2-2-2-2222000022-2-2000000000000000000000000-222-20000
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χ711-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22
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χ731-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22
χ741-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22
χ751-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22
χ761-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22
χ77222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000000000000000−1+i31−i3−1+i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000000000000000−1−i31+i3−1−i31+i300000000
χ78222222222-2-2-2-222222220000-2-2-2-200000000000000000000-22-2200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3000000000000000000001−i3−1+i31−i3−1+i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3000000000000000000001+i3−1−i31+i3−1−i300000000
χ7922222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1+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−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+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1−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+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−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ8022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1+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−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−i3−1+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−i31+i32−1−i3−1−i3−1−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+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000
χ8122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1+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−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000−1−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+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ8222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1+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−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+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−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000
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χ862222-2-2-2-22-22-22-2-2222-2-200002-22-2000000000000000000000000-22-220000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i30000000000000000000000001−i3−1+i31−i3−1+i30000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i30000000000000000000000001+i3−1−i31+i3−1−i30000
χ872222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-11100003−33−33−33−3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i32−1+i31−i3−1+i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i31−i3−1+i31−i3−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i32−1−i31+i3−1−i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i31+i3−1−i31+i3−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000000000000
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χ1291-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14
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χ1321-1-11-111-11-1-11111-1-11-1-111-1-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14
χ1331-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14
χ1341-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14
χ1351-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14
χ1361-1-11-111-11-1-11111-1-11-1-1-1-1111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14
χ137222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000000000000000−1−i31+i3−1−i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000000000000000−1+i31−i3−1+i31−i300000000
χ138222222222-2-2-2-222222220000-2-2-2-200000000000000000000-22-2200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3000000000000000000001+i3−1−i31+i3−1−i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3000000000000000000001−i3−1+i31−i3−1+i300000000
χ13922222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−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+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−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+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−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+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ14022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−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+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+i3−1−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+i31−i32−1+i3−1+i3−1+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−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ14122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1−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+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+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−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ14222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1−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+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−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+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
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χ1442222-2-2-2-222-22-2-2-2222-2-2-22-22-22-22-2-222-2-222000000000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3000000000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3000000000000000000000000
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χ1482222-2-2-2-2-12-22-211-1-1-1112-22-21-11-1-1-111-1-1110000−33−33−33−33000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i32−1−i31+i3−1−i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i31+i3−1−i31+i3−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i32−1+i31−i3−1+i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i31−i3−1+i31−i3−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
χ1492222-2-2-2-2-12-22-211-1-1-111-22-221-11-111-1-111-1-100003−33−3−33−33000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i32−1−i31+i3−1−i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i31+i3−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i32−1+i31−i3−1+i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i31−i3−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i320000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
χ1502222-2-2-2-2-12-22-211-1-1-111-22-221-11-111-1-111-1-10000−33−333−33−3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i32−1−i31+i3−1−i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3−1−i31+i3−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i320000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i32−1+i31−i3−1+i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3−1+i31−i3−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i320000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.