Finite Group Databasebeta

← Group #11785583

Character table — Group #11785583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424
order122222344446666666888888121212122424242424242424444412121212121212122244888888883666663121212126666666242424242424121212122424242424242424121212121212121212121212661212242424242424242436666631212121266666662424242424241212121224242424242424241212121212121212121212126612122424242424242424
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
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i
χ101-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-11-11-1-111−ii−ii1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-11-11-1-111−ii−ii1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-11-11-1-111−ii−ii
χ111-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii
χ121-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-11-11-1-111i−ii−i1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-11-11-1-111i−ii−i1-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-11-11-1-111i−ii−i
χ131-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii1-11-1-1-111i−i−ii1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii1-11-1-1-111i−i−ii1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii1-11-1-1-111i−i−ii
χ141-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-11-1111-1-1−iii−i1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-11-1111-1-1−iii−i1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-11-1111-1-1−iii−i
χ151-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i1-11-1-1-111−iii−i1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i1-11-1-1-111−iii−i1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i1-11-1-1-111−iii−i
χ161-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-11-1111-1-1i−i−ii1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-11-1111-1-1i−i−ii1-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-11-1111-1-1i−i−ii
χ172222222-2-2-2-22222222000000-2-2-2-20000000000000000000000002i−2i2i−2i00002222222-2-2-2-22222222000000-2-2-2-20000000000000000000000002i−2i2i−2i00002222222-2-2-2-22222222000000-2-2-2-20000000000000000000000002i−2i2i−2i0000
χ182222222-2-2-2-22222222000000-2-2-2-2000000000000000000000000−2i2i−2i2i00002222222-2-2-2-22222222000000-2-2-2-2000000000000000000000000−2i2i−2i2i00002222222-2-2-2-22222222000000-2-2-2-2000000000000000000000000−2i2i−2i2i0000
χ19222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ21222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ232222-2-222-2-22-2-2-2-222200000022-2-20000000000000000000022-2-2000000002222-2-222-2-22-2-2-2-222200000022-2-20000000000000000000022-2-2000000002222-2-222-2-22-2-2-2-222200000022-2-20000000000000000000022-2-200000000
χ242222-2-222-2-22-2-2-2-222200000022-2-200000000000000000000-2-222000000002222-2-222-2-22-2-2-2-222200000022-2-200000000000000000000-2-222000000002222-2-222-2-22-2-2-2-222200000022-2-200000000000000000000-2-22200000000
χ252222-2-22-222-2-2-2-2-22222222-2-2-2-22222-2-222-2-20000000000000000000000002222-2-22-222-2-2-2-2-22222222-2-2-2-22222-2-222-2-20000000000000000000000002222-2-22-222-2-2-2-2-22222222-2-2-2-22222-2-222-2-2000000000000000000000000
χ262222-2-22-222-2-2-2-2-2222-2-2-2-222-2-222-2-222-2-2220000000000000000000000002222-2-22-222-2-2-2-2-2222-2-2-2-222-2-222-2-222-2-2220000000000000000000000002222-2-22-222-2-2-2-2-2222-2-2-2-222-2-222-2-222-2-222000000000000000000000000
χ272222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000002222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000002222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000
χ282222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000002222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000002222-2-2-1-222-21111-1-1-12222-2-211-1-1-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000
χ292222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000−i3i3−i3i3i3−i3i3−i30000000000002222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000−i3i3−i3i3i3−i3i3−i30000000000002222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ302222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000i3−i3i3−i3−i3i3−i3i30000000000002222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000i3−i3i3−i3−i3i3−i3i30000000000002222-2-2-1-222-21111-1-1-1-2-2-2-22211-1-111-1-111-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ312-2-222-22-22-2222-2-22-2-2000000-222-20000000000000000000000002i−2i−2i2i00002-2-222-22-22-2222-2-22-2-2000000-222-20000000000000000000000002i−2i−2i2i00002-2-222-22-22-2222-2-22-2-2000000-222-20000000000000000000000002i−2i−2i2i0000
χ322-2-222-22-22-2222-2-22-2-2000000-222-2000000000000000000000000−2i2i2i−2i00002-2-222-22-22-2222-2-22-2-2000000-222-2000000000000000000000000−2i2i2i−2i00002-2-222-22-22-2222-2-22-2-2000000-222-2000000000000000000000000−2i2i2i−2i0000
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χ352-2-222-2-12-22-2-1-111-111-2-222-22-111-11111-1-1-1-12i−2i−2i2i−i−iiiii−i−i0000000000002-2-222-2-12-22-2-1-111-111-2-222-22-111-11111-1-1-1-12i−2i−2i2i−i−iiiii−i−i0000000000002-2-222-2-12-22-2-1-111-111-2-222-22-111-11111-1-1-1-12i−2i−2i2i−i−iiiii−i−i000000000000
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χ372-2-22-22222-2-2-2-2222-2-20000002-22-2000000000000000000002-2-22000000002-2-22-22222-2-2-2-2222-2-20000002-22-2000000000000000000002-2-22000000002-2-22-22222-2-2-2-2222-2-20000002-22-2000000000000000000002-2-2200000000
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χ412-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-100003−3−333−3−330000000000002-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-100003−3−333−3−330000000000002-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-100003−3−333−3−33000000000000
χ422-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-10000−333−3−333−30000000000002-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-10000−333−3−333−30000000000002-2-22-22-1-2-22211-1-1-11122-2-2-221-11-1-1-11111-1-10000−333−3−333−3000000000000
χ432-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-11100003−3−33−333−30000000000002-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-11100003−3−33−333−30000000000002-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-11100003−3−33−333−3000000000000
χ442-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-1110000−333−33−3−330000000000002-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-1110000−333−33−3−330000000000002-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-1110000−333−33−3−33000000000000
χ45444444-2-4-4-4-4-2-2-2-2-2-2-2000000222200000000000000000000000000000000444444-2-4-4-4-4-2-2-2-2-2-2-2000000222200000000000000000000000000000000444444-2-4-4-4-4-2-2-2-2-2-2-2000000222200000000000000000000000000000000
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χ127111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111−1−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−i321+i321+i321+i321+i321+i321+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−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+i321−i321−i321−i321−i321−i321−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ128111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1−1−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−i321+i321+i321+i321+i321+i321+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+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+i321−i321−i321−i321−i321−i321−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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1291-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14
χ1301-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1i−ii−iii−i−iii−i−i-11-11-1-111−ii−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−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−ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14
χ1311-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14
χ1321-1-111-111-11-111-1-11-1-111-1-11-11-1-111111-1-1-1-1−ii−ii−i−iii−i−iii-11-11-1-111i−ii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−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+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14
χ1331-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii1-11-1-1-111i−i−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14
χ1341-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111i−i−iiii−i−i−i−iii-11-1111-1-1−iii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14
χ1351-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i1-11-1-1-111−iii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14
χ1361-1-111-111-11-111-1-11-1-1-1-111-111-1-11-1-1-1-11111−iii−i−i−iiiii−i−i-11-1111-1-1i−i−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14
χ1372222222-2-2-2-22222222000000-2-2-2-20000000000000000000000002i−2i2i−2i0000−1−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−i30000001+i31+i31+i31+i30000000000000000000000002ζ22−2ζ222ζ22−2ζ220000−1+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+i30000001−i31−i31−i31−i30000000000000000000000002ζ14−2ζ142ζ14−2ζ140000
χ1382222222-2-2-2-22222222000000-2-2-2-2000000000000000000000000−2i2i−2i2i0000−1−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−i30000001+i31+i31+i31+i3000000000000000000000000−2ζ222ζ22−2ζ222ζ220000−1+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+i30000001−i31−i31−i31−i3000000000000000000000000−2ζ142ζ14−2ζ142ζ140000
χ139222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−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+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+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
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χ141222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+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+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−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
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χ1632-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-11100003−3−33−333−3000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000
χ1642-2-22-22-1-2-22211-1-1-111-2-2222-21-11-111-1-1-1-1110000−333−33−3−33000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
χ165444444-2-4-4-4-4-2-2-2-2-2-2-2000000222200000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i31+i31+i31+i31+i31+i31+i3000000−1−i3−1−i3−1−i3−1−i300000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i31−i31−i31−i31−i31−i31−i3000000−1+i3−1+i3−1+i3−1+i300000000000000000000000000000000
χ1664444-4-4-24-4-442222-2-2-2000000-2-22200000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i30000001+i31+i3−1−i3−1−i300000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i30000001−i31−i3−1+i3−1+i300000000000000000000000000000000
χ16744-4-400400000000-44-4−2i22i2−2i22i2000000−2i22i200−2i22i200000000000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i3000000002+2i3−2−2i32+2i32ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ130000002ζ7+2ζ13−2ζ7−2ζ13002ζ7+2ζ13−2ζ7−2ζ1300000000000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i3000000002−2i3−2+2i32−2i32ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ230000002ζ5+2ζ23−2ζ5−2ζ23002ζ5+2ζ23−2ζ5−2ζ2300000000000000000000000000
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χ17044-4-400-20000−2i32i3−2i32i32-222i2−2i22i2−2i2000000−i2i2−66−i2i2−66000000000000000000000000−2−2i3−2−2i32+2i32+2i3001+i30000−3+i33−i3−3+i33−i3−1−i31+i3−1−i3−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13000000ζ7+ζ13−ζ7−ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23ζ7+ζ13−ζ7−ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000000000000000−2+2i3−2+2i32−2i32−2i3001−i300003+i3−3−i33+i3−3−i3−1+i31−i3−1+i3−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23000000ζ5+ζ23−ζ5−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000000000000000
χ17144-4-400-200002i3−2i32i3−2i32-22−2i22i2−2i22i2000000i2−i2−66i2−i2−66000000000000000000000000−2−2i3−2−2i32+2i32+2i3001+i300003−i3−3+i33−i3−3+i3−1−i31+i3−1−i32ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ13000000−ζ7−ζ13ζ7+ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−ζ7−ζ13ζ7+ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000000000000000−2+2i3−2+2i32−2i32−2i3001−i30000−3−i33+i3−3−i33+i3−1+i31−i3−1+i32ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ23000000−ζ5−ζ23ζ5+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000000000000000
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χ1734-44-400400000000-4-44−2i22i22i2−2i2000000−2i22i2002i2−2i200000000000000000000000000−2−2i32+2i3−2−2i32+2i300−2−2i3000000002+2i32+2i3−2−2i32ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ130000002ζ7+2ζ13−2ζ7−2ζ1300−2ζ7−2ζ132ζ7+2ζ1300000000000000000000000000−2+2i32−2i3−2+2i32−2i300−2+2i3000000002−2i32−2i3−2+2i32ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ230000002ζ5+2ζ23−2ζ5−2ζ2300−2ζ5−2ζ232ζ5+2ζ2300000000000000000000000000
χ1744-44-400400000000-4-442i2−2i2−2i22i20000002i2−2i200−2i22i200000000000000000000000000−2−2i32+2i3−2−2i32+2i300−2−2i3000000002+2i32+2i3−2−2i3−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13000000−2ζ7−2ζ132ζ7+2ζ13002ζ7+2ζ13−2ζ7−2ζ1300000000000000000000000000−2+2i32−2i3−2+2i32−2i300−2+2i3000000002−2i32−2i3−2+2i3−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23000000−2ζ5−2ζ232ζ5+2ζ23002ζ5+2ζ23−2ζ5−2ζ2300000000000000000000000000
χ1754-44-400-20000−2i32i32i3−2i322-2−2i22i22i2−2i2000000i2−i26−6−i2i2−66000000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i30000−3+i33−i33−i3−3+i3−1−i3−1−i31+i32ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ13000000−ζ7−ζ13ζ7+ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23ζ7+ζ13−ζ7−ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i300003+i3−3−i3−3−i33+i3−1+i3−1+i31−i32ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ23000000−ζ5−ζ23ζ5+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000000000000000
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χ1784-44-400-200002i3−2i3−2i32i322-22i2−2i2−2i22i2000000−i2i26−6i2−i2−66000000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i300003−i3−3+i3−3+i33−i3−1−i3−1−i31+i3−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13000000ζ7+ζ13−ζ7−ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−ζ7−ζ13ζ7+ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i30000−3−i33+i33+i3−3−i3−1+i3−1+i31−i3−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23000000ζ5+ζ23−ζ5−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000000000000000
χ1794-4-444-4-2-44-44-2-222-2220000002-2-2200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i32+2i3−2−2i32+2i3−2−2i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3000000−1−i31+i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i32−2i3−2+2i32−2i3−2+2i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3000000−1+i31−i31−i3−1+i300000000000000000000000000000000
χ1804-4-44-44-244-4-422-2-2-222000000-22-2200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−2−2i3−2−2i32+2i32+2i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000001+i3−1−i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−2+2i3−2+2i32−2i32−2i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000001−i3−1+i31−i3−1+i300000000000000000000000000000000

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