Finite Group Databasebeta

← Group #11790994

Character table — Group #11790994

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
χ5111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1i−i1-1111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1i−i1-1111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1i−i1-1
χ10111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−ii-11−i−iii-1-111−ii-11111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−ii-11−i−iii-1-111−ii-11111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−ii-11−i−iii-1-111−ii-11
χ11111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiiii−i1-1ii−i−i11-1-1−ii-11111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiiii−i1-1ii−i−i11-1-1−ii-11111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiiii−i1-1ii−i−i11-1-1−ii-11
χ12111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiii−ii-11−i−iii-1-111i−i1-1111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiii−ii-11−i−iii-1-111i−i1-1111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiii−ii-11−i−iii-1-111i−i1-1
χ13111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111i−i-11111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111i−i-11111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111i−i-11
χ14111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−ii1-1111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−ii1-1111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−ii1-1
χ15111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−ii−i-11ii−i−i-1-111−ii1-1111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−ii−i-11ii−i−i-1-111−ii1-1111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−ii−i-11ii−i−i-1-111−ii1-1
χ16111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−i−ii1-1−i−iii11-1-1i−i-11111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−i−ii1-1−i−iii11-1-1i−i-11111-1-1-1-111−i−i−i−iiiii1-11-111-1-1-1-11−i−i−i−iiiii11-1-1-1-1-1-11111iiii−i−i−i−i−ii1-1−i−iii11-1-1i−i-11
χ1722222222222-2-222-2-2-2-2-2-2222222222-2-222-2-2-2-2-2-20000000000000000000000000000000022222222222-2-222-2-2-2-2-2-2222222222-2-222-2-2-2-2-2-20000000000000000000000000000000022222222222-2-222-2-2-2-2-2-2222222222-2-222-2-2-2-2-2-200000000000000000000000000000000
χ18222222222-2-222-2-222-2-2-2-22222222-2-222-2-222-2-2-2-200000000000000000000000000000000222222222-2-222-2-222-2-2-2-22222222-2-222-2-222-2-2-2-200000000000000000000000000000000222222222-2-222-2-222-2-2-2-22222222-2-222-2-222-2-2-2-200000000000000000000000000000000
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
χ2122222222-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111-1-111111100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111-1-111111100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111-1-111111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2222222222-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111-1-111111100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111-1-111111100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-122-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111-1-111111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2322222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-111-1-111-1-1111100000000000000000000−i3i3−i3i3i3−i3i3−i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-111-1-111-1-1111100000000000000000000−i3i3−i3i3i3−i3i3−i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-111-1-111-1-1111100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ2422222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-111-1-111-1-1111100000000000000000000i3−i3i3−i3−i3i3−i3i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-111-1-111-1-1111100000000000000000000i3−i3i3−i3−i3i3−i3i3000022222222-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1-111-1-111-1-1111100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ2522222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-1000000000000000022-2-2-1-1-1-11111000022222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-1000000000000000022-2-2-1-1-1-11111000022222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-1000000000000000022-2-2-1-1-1-111110000
χ2622222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-2-2221111-1-1-1-1000022222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-2-2221111-1-1-1-1000022222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-2-2221111-1-1-1-10000
χ27222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-22200000000000000000000000000000000222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-22200000000000000000000000000000000222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-22-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-22200000000000000000000000000000000
χ28222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-22200000000000000000000000000000000222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-22200000000000000000000000000000000222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-22-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-22200000000000000000000000000000000
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χ30222-2-2-2-22-12i2i2i2i−2i−2i−2i−2i2-22-2-1-11111-1−i−i−i−iiiii-1-1110000000000000000−2i2i-22ii−i−i11-1-10000222-2-2-2-22-12i2i2i2i−2i−2i−2i−2i2-22-2-1-11111-1−i−i−i−iiiii-1-1110000000000000000−2i2i-22ii−i−i11-1-10000222-2-2-2-22-12i2i2i2i−2i−2i−2i−2i2-22-2-1-11111-1−i−i−i−iiiii-1-1110000000000000000−2i2i-22ii−i−i11-1-10000
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χ33222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-1000000000000000000003−3−33i3−i3−i3i30000222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-1000000000000000000003−3−33i3−i3−i3i30000222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-1000000000000000000003−3−33i3−i3−i3i30000
χ34222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-100000000000000000000−333−3−i3i3i3−i30000222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-100000000000000000000−333−3−i3i3i3−i30000222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-100000000000000000000−333−3−i3i3i3−i30000
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χ77111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+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−i321+i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ78111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111−1+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+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1−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−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32
χ79111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111−1+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+i32−1+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+i321−i321−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+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−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i321+i321+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
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χ81111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1i−i1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−1+i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−1−i321+i32
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χ83111-1-1-1-111iiii−i−i−i−i1-11-111-1-1-1-11iiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−iiiiii−i1-1ii−i−i11-1-1−ii-11−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−ζ14ζ141−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−ζ22ζ221+i32−1−i32
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χ104222-2-2-2-22-12i2i−2i−2i−2i−2i2i2i-22-22-1-11111-1−i−iiiii−i−i11-1-100000000000000000000−333−3i3−i3−i3i30000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i322ζ142ζ14−2ζ14−2ζ14−2ζ14−2ζ142ζ142ζ141−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i3200000000000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−3−i323+i323+i32−3−i320000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i322ζ222ζ22−2ζ22−2ζ22−2ζ22−2ζ222ζ222ζ221+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i3200000000000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ223−i32−3+i32−3+i323−i320000
χ105222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-1000000000000000000003−3−33i3−i3−i3i30000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−2ζ14−2ζ142ζ142ζ142ζ142ζ14−2ζ14−2ζ141−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i3200000000000000000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−3−i323+i323+i32−3−i320000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−2ζ22−2ζ222ζ222ζ222ζ222ζ22−2ζ22−2ζ221+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32000000000000000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ223−i32−3+i32−3+i323−i320000
χ106222-2-2-2-22-1−2i−2i2i2i2i2i−2i−2i-22-22-1-11111-1ii−i−i−i−iii11-1-100000000000000000000−333−3−i3i3i3−i30000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i32−2ζ14−2ζ142ζ142ζ142ζ142ζ14−2ζ14−2ζ141−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i3200000000000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ223+i32−3−i32−3−i323+i320000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i32−2ζ22−2ζ222ζ222ζ222ζ222ζ22−2ζ22−2ζ221+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i3200000000000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−3+i323−i323−i32−3+i320000
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χ2042-2-2-222-22200000000-2-222-2-2-222-2200000000-222-2-222-22-2-22000000000000000000000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3000000001+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3000000001+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3000000000000000000000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3000000001−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3000000001−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3000000000000000000000000
χ20544-444-4-4-4-2004-4004-40000-22-2-222200-2200-22000000000000000000000000000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i31+i300−2−2i32+2i300−2−2i32+2i300001+i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i3−1−i3001+i3−1−i3000000000000000000000000000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i31−i300−2+2i32−2i300−2+2i32−2i300001−i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i3−1+i3001−i3−1+i3000000000000000000000000000000000000
χ20644-444-4-4-4-200-4400-440000-22-2-2222002-2002-2000000000000000000000000000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i31+i3002+2i3−2−2i3002+2i3−2−2i300001+i3−1−i31+i31+i3−1−i3−1−i3−1−i300−1−i31+i300−1−i31+i3000000000000000000000000000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i31−i3002−2i3−2+2i3002−2i3−2+2i300001−i3−1+i31−i31−i3−1+i3−1+i3−1+i300−1+i31−i300−1+i31−i3000000000000000000000000000000000000
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χ2094-444-44-4-4-24-4004-40000002-2-22-222-2200-2200000000000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i31+i3−2−2i32+2i300−2−2i32+2i3000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3001+i3−1−i300000000000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i31−i3−2+2i32−2i300−2+2i32−2i3000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3001−i3−1+i300000000000000000000000000000000000000
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χ2114-44-44-44-4-24i−4i00−4i4i0000002-22-22-22−2i2i002i−2i00000000000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i34ζ22−4ζ2200−4ζ224ζ22000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−2ζ222ζ22002ζ22−2ζ2200000000000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i34ζ14−4ζ1400−4ζ144ζ14000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−2ζ142ζ14002ζ14−2ζ1400000000000000000000000000000000000000
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χ2134-4-44-4-444-2000000004-4-4422-222-2-200000000-22-2200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i300000000−2−2i32+2i32+2i3−2−2i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3000000001+i3−1−i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i300000000−2+2i32−2i32−2i3−2+2i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3000000001−i3−1+i31−i3−1+i300000000000000000000000000000000
χ2144-4-44-4-444-200000000-444-422-222-2-2000000002-22-200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i3000000002+2i3−2−2i3−2−2i32+2i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300000000−1−i31+i3−1−i31+i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i3000000002−2i3−2+2i3−2+2i32−2i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300000000−1+i31−i3−1+i31−i300000000000000000000000000000000
χ2154-4-4-444-44-20000000044-4-4222-2-22-200000000-222-200000000000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i31+i300000000−2−2i3−2−2i32+2i32+2i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3000000001+i3−1−i3−1−i31+i300000000000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i31−i300000000−2+2i3−2+2i32−2i32−2i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3000000001−i3−1+i3−1+i31−i300000000000000000000000000000000
χ2164-4-4-444-44-200000000-4-444222-2-22-2000000002-2-2200000000000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i31+i3000000002+2i32+2i3−2−2i3−2−2i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i300000000−1−i31+i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i31−i3000000002−2i32−2i3−2+2i3−2+2i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i300000000−1+i31−i31−i3−1+i300000000000000000000000000000000

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