Finite Group Databasebeta

← Group #13166693

Character table — Group #13166693

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111114444444444444444121212121212121212121212121212121212121212121212181818181818181818181818111111114444444444444444121212121212121212121212121212121212121212121212181818181818181818181818111111114444444444444444121212121212121212121212121212121212121212121212181818181818181818181818
order1222444433666666121212121212121222444444666612121212121212121212121222448888888836661212121233666666121212121212121266121212121212666612121212121212121212121266121224242424242424243666121212123366666612121212121212126612121212121266661212121212121212121212126612122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ61111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ71111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111
χ81111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
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χ101-1-1111-1-111-1-11-1-1111-1-111-1-11-1−ii−ii1-111-1-1−i−iii−i−iii11-1-11-11-1−i−iii−i−iii1-1-1111-1-111-1-11-1-1111-1-111-1-11-1−ii−ii1-111-1-1−i−iii−i−iii11-1-11-11-1−i−iii−i−iii1-1-1111-1-111-1-11-1-1111-1-111-1-11-1−ii−ii1-111-1-1−i−iii−i−iii11-1-11-11-1−i−iii−i−iii
χ111-1-1111-1-111-1-11-1-1111-1-111-1-1-11i−ii−i-11-1-111ii−i−iii−i−i-1-1111-11-1−i−iii−i−iii1-1-1111-1-111-1-11-1-1111-1-111-1-1-11i−ii−i-11-1-111ii−i−iii−i−i-1-1111-11-1−i−iii−i−iii1-1-1111-1-111-1-11-1-1111-1-111-1-1-11i−ii−i-11-1-111ii−i−iii−i−i-1-1111-11-1−i−iii−i−iii
χ121-1-1111-1-111-1-11-1-1111-1-111-1-1-11−ii−ii-11-1-111−i−iii−i−iii-1-1111-11-1ii−i−iii−i−i1-1-1111-1-111-1-11-1-1111-1-111-1-1-11−ii−ii-11-1-111−i−iii−i−iii-1-1111-11-1ii−i−iii−i−i1-1-1111-1-111-1-11-1-1111-1-111-1-1-11−ii−ii-11-1-111−i−iii−i−iii-1-1111-11-1ii−i−iii−i−i
χ131-1-11-1-11111-1-11-1-11-1-111-1-1111-1i−i−ii-1111-1-1ii−i−i−i−iii-1-111-111-1ii−i−i−i−iii1-1-11-1-11111-1-11-1-11-1-111-1-1111-1i−i−ii-1111-1-1ii−i−i−i−iii-1-111-111-1ii−i−i−i−iii1-1-11-1-11111-1-11-1-11-1-111-1-1111-1i−i−ii-1111-1-1ii−i−i−i−iii-1-111-111-1ii−i−i−i−iii
χ141-1-11-1-11111-1-11-1-11-1-111-1-1111-1−iii−i-1111-1-1−i−iiiii−i−i-1-111-111-1−i−iiiii−i−i1-1-11-1-11111-1-11-1-11-1-111-1-1111-1−iii−i-1111-1-1−i−iiiii−i−i-1-111-111-1−i−iiiii−i−i1-1-11-1-11111-1-11-1-11-1-111-1-1111-1−iii−i-1111-1-1−i−iiiii−i−i-1-111-111-1−i−iiiii−i−i
χ151-1-11-1-11111-1-11-1-11-1-111-1-111-11i−i−ii1-1-1-111ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i1-1-11-1-11111-1-11-1-11-1-111-1-111-11i−i−ii1-1-1-111ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i1-1-11-1-11111-1-11-1-11-1-111-1-111-11i−i−ii1-1-1-111ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i
χ161-1-11-1-11111-1-11-1-11-1-111-1-111-11−iii−i1-1-1-111−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iii1-1-11-1-11111-1-11-1-11-1-111-1-111-11−iii−i1-1-1-111−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iii1-1-11-1-11111-1-11-1-11-1-111-1-111-11−iii−i1-1-1-111−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iii
χ17222222222222222222222222000000000000000000000000-2-2-2-200000000222222222222222222222222000000000000000000000000-2-2-2-200000000222222222222222222222222000000000000000000000000-2-2-2-200000000
χ182222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022-2-2000000002222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022-2-2000000002222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022-2-200000000
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χ2122-2-2−2i2i−2i2i222-2-22-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002−22−2i2−i2i2−i222-2-2−2i2i−2i2i222-2-22-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002−22−2i2−i2i2−i222-2-2−2i2i−2i2i222-2-22-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002−22−2i2−i2i2−i2
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χ232-22-22i−2i−2i2i22-22-2-22-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000−i2i2i2−i2−222−22-22-22i−2i−2i2i22-22-2-22-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000−i2i2i2−i2−222−22-22-22i−2i−2i2i22-22-2-22-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000−i2i2i2−i2−222−2
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χ252-22-2−2i2i2i−2i22-22-2-22-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000−i2i2i2−i22−2−222-22-2−2i2i2i−2i22-22-2-22-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000−i2i2i2−i22−2−222-22-2−2i2i2i−2i22-22-2-22-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000−i2i2i2−i22−2−22
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χ272-2-2222-2-222-2-22-2-2222-2-222-2-2000000000000000000000000-22-22000000002-2-2222-2-222-2-22-2-2222-2-222-2-2000000000000000000000000-22-22000000002-2-2222-2-222-2-22-2-2222-2-222-2-2000000000000000000000000-22-2200000000
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χ29444444441-2-2-2111-21111-2-2-2-2002222000000-1-1-1-1-1-1-1-10000000000000000444444441-2-2-2111-21111-2-2-2-2002222000000-1-1-1-1-1-1-1-10000000000000000444444441-2-2-2111-21111-2-2-2-2002222000000-1-1-1-1-1-1-1-10000000000000000
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χ3244444444-2111-2-2-21-2-2-2-21111-2-20000-2-2111100000000111100000000000044444444-2111-2-2-21-2-2-2-21111-2-20000-2-2111100000000111100000000000044444444-2111-2-2-21-2-2-2-21111-2-20000-2-21111000000001111000000000000
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χ1261111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111−1−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+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1271111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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−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−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−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1281111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1−1−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+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−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ1291-1-1111-1-111-1-11-1-1111-1-111-1-11-1i−ii−i1-111-1-1ii−i−iii−i−i11-1-11-11-1ii−i−iii−i−i−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ1301-1-1111-1-111-1-11-1-1111-1-111-1-11-1−ii−ii1-111-1-1−i−iii−i−iii11-1-11-11-1−i−iii−i−iii−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ1311-1-1111-1-111-1-11-1-1111-1-111-1-1-11i−ii−i-11-1-111ii−i−iii−i−i-1-1111-11-1−i−iii−i−iii−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ221+i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ141−i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ1321-1-1111-1-111-1-11-1-1111-1-111-1-1-11−ii−ii-11-1-111−i−iii−i−iii-1-1111-11-1ii−i−iii−i−i−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ221+i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ141−i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ1331-1-11-1-11111-1-11-1-11-1-111-1-1111-1i−i−ii-1111-1-1ii−i−i−i−iii-1-111-111-1ii−i−i−i−iii−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ1341-1-11-1-11111-1-11-1-11-1-111-1-1111-1−iii−i-1111-1-1−i−iiiii−i−i-1-111-111-1−i−iiiii−i−i−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ1351-1-11-1-11111-1-11-1-11-1-111-1-111-11i−i−ii1-1-1-111ii−i−i−i−iii11-1-1-111-1−i−iiiii−i−i−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ1361-1-11-1-11111-1-11-1-11-1-111-1-111-11−iii−i1-1-1-111−i−iiiii−i−i11-1-1-111-1ii−i−i−i−iii−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ137222222222222222222222222000000000000000000000000-2-2-2-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000000000000000000001+i31+i31+i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000000000000000000001−i31−i31−i31−i300000000
χ1382222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3000000000000000000000000−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3000000000000000000000000−1+i3−1+i31−i31−i300000000
χ13922-2-22i−2i2i−2i222-2-22-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000002−22−2−i2i2−i2i2−1−i3−1−i31+i31+i32ζ22−2ζ222ζ22−2ζ22−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i32ζ22−2ζ222ζ22−2ζ222ζ22−2ζ222ζ22−2ζ220000000000000000000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1+i3−1+i31−i31−i32ζ14−2ζ142ζ14−2ζ14−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i32ζ14−2ζ142ζ14−2ζ142ζ14−2ζ142ζ14−2ζ140000000000000000000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23
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χ1674-44-44i−4i−4i4i-21-1122-2-1−2i2i2i−2ii−i−ii00000000−i3i3i3−i3000000003−3−33000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−4ζ224ζ221+i3−1−i321+i32−1−i32−1−i3−1−i31+i31+i32−2ζ222ζ222ζ22−2ζ22ζ22−ζ22−ζ22ζ2200000000−3+i323−i323−i32−3+i32000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−4ζ144ζ141−i3−1+i321−i32−1+i32−1+i3−1+i31−i31−i32−2ζ142ζ142ζ14−2ζ14ζ14−ζ14−ζ14ζ14000000003+i32−3−i32−3−i323+i3200000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
χ1684-44-44i−4i−4i4i-21-1122-2-1−2i2i2i−2ii−i−ii00000000i3−i3−i3i300000000−333−3000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−4ζ224ζ221+i3−1−i321+i32−1−i32−1−i3−1−i31+i31+i32−2ζ222ζ222ζ22−2ζ22ζ22−ζ22−ζ22ζ22000000003−i32−3+i32−3+i323−i3200000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−4ζ144ζ141−i3−1+i321−i32−1+i32−1+i3−1+i31−i31−i32−2ζ142ζ142ζ14−2ζ14ζ14−ζ14−ζ14ζ1400000000−3−i323+i323+i32−3−i3200000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000
χ1694-44-4−4i4i4i−4i1-22-2-1-112−iii−i2i−2i−2i2i0000000000003−3−33−i3i3i3−i30000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ224ζ22−4ζ22−1−i321+i3−1−i31+i31+i321+i32−1−i32−1−i3−ζ22ζ22ζ22−ζ222ζ22−2ζ22−2ζ222ζ220000000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−3+i323−i323−i32−3+i320000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ144ζ14−4ζ14−1+i321−i3−1+i31−i31−i321−i32−1+i32−1+i3−ζ14ζ14ζ14−ζ142ζ14−2ζ14−2ζ142ζ14000000000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ223+i32−3−i32−3−i323+i320000000000000000
χ1704-44-4−4i4i4i−4i1-22-2-1-112−iii−i2i−2i−2i2i000000000000−333−3i3−i3−i3i30000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ224ζ22−4ζ22−1−i321+i3−1−i31+i31+i321+i32−1−i32−1−i3−ζ22ζ22ζ22−ζ222ζ22−2ζ22−2ζ222ζ22000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ223−i32−3+i32−3+i323−i320000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ144ζ14−4ζ14−1+i321−i3−1+i31−i31−i321−i32−1+i32−1+i3−ζ14ζ14ζ14−ζ142ζ14−2ζ14−2ζ142ζ14000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−3−i323+i323+i32−3−i320000000000000000
χ1714-44-4−4i4i4i−4i-21-1122-2-12i−2i−2i2i−iii−i00000000−i3i3i3−i300000000−333−3000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ224ζ22−4ζ221+i3−1−i321+i32−1−i32−1−i3−1−i31+i31+i322ζ22−2ζ22−2ζ222ζ22−ζ22ζ22ζ22−ζ2200000000−3+i323−i323−i32−3+i3200000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ144ζ14−4ζ141−i3−1+i321−i32−1+i32−1+i3−1+i31−i31−i322ζ14−2ζ14−2ζ142ζ14−ζ14ζ14ζ14−ζ14000000003+i32−3−i32−3−i323+i3200000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000
χ1724-44-4−4i4i4i−4i-21-1122-2-12i−2i−2i2i−iii−i00000000i3−i3−i3i3000000003−3−33000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ224ζ22−4ζ221+i3−1−i321+i32−1−i32−1−i3−1−i31+i31+i322ζ22−2ζ22−2ζ222ζ22−ζ22ζ22ζ22−ζ22000000003−i32−3+i32−3+i323−i32000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ144ζ14−4ζ141−i3−1+i321−i32−1+i32−1+i3−1+i31−i31−i322ζ14−2ζ14−2ζ142ζ14−ζ14ζ14ζ14−ζ1400000000−3−i323+i323+i32−3−i3200000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
χ1734-4-4444-4-41-2221-1-1-211-1-1-2-222002i−2i2i−2i000000−i−iii−i−iii0000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i321+i3−1−i32−1−i321+i321+i321+i31+i3−1−i3−1−i3002ζ22−2ζ222ζ22−2ζ22000000−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ220000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i321−i3−1+i32−1+i321−i321−i321−i31−i3−1+i3−1+i3002ζ14−2ζ142ζ14−2ζ14000000−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ140000000000000000
χ1744-4-4444-4-41-2221-1-1-211-1-1-2-22200−2i2i−2i2i000000ii−i−iii−i−i0000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i321+i3−1−i32−1−i321+i321+i321+i31+i3−1−i3−1−i300−2ζ222ζ22−2ζ222ζ22000000ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ220000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i321−i3−1+i32−1+i321−i321−i321−i31−i3−1+i3−1+i300−2ζ142ζ14−2ζ142ζ14000000ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ140000000000000000
χ1754-4-4444-4-4-21-1-1-2221-2-22211-1-12-200002-2-1-11100000000-1-111000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i321+i321+i3−1−i3−1−i3−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i31+i30000−1−i31+i31+i321+i32−1−i32−1−i32000000001+i321+i32−1−i32−1−i32000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i321−i321−i3−1+i3−1+i3−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i31−i30000−1+i31−i31−i321−i32−1+i32−1+i32000000001−i321−i32−1+i32−1+i32000000000000
χ1764-4-4444-4-4-21-1-1-2221-2-22211-1-1-220000-2211-1-10000000011-1-1000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i321+i321+i3−1−i3−1−i3−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i3−1−i300001+i3−1−i3−1−i32−1−i321+i321+i3200000000−1−i32−1−i321+i321+i32000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i321−i321−i3−1+i3−1+i3−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i3−1+i300001−i3−1+i3−1+i32−1+i321−i321−i3200000000−1+i32−1+i321−i321−i32000000000000
χ1774-4-44-4-4441-2221-1-1-2-1-11122-2-2002i−2i−2i2i000000−i−iiiii−i−i0000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i321+i31+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i3002ζ22−2ζ22−2ζ222ζ22000000−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ220000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i321−i31−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i3002ζ14−2ζ14−2ζ142ζ14000000−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ140000000000000000
χ1784-4-44-4-4441-2221-1-1-2-1-11122-2-200−2i2i2i−2i000000ii−i−i−i−iii0000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i321+i31+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i300−2ζ222ζ222ζ22−2ζ22000000ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ220000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i321−i31−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i300−2ζ142ζ142ζ14−2ζ14000000ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ140000000000000000
χ1794-4-44-4-444-21-1-1-222122-2-2-1-1112-20000-22-1-1110000000011-1-1000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i3−1−i321+i321+i321+i3−1−i3−1−i3−1−i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i31+i300001+i3−1−i31+i321+i32−1−i32−1−i3200000000−1−i32−1−i321+i321+i32000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i3−1+i321−i321−i321−i3−1+i3−1+i3−1+i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i31−i300001−i3−1+i31−i321−i32−1+i32−1+i3200000000−1+i32−1+i321−i321−i32000000000000
χ1804-4-44-4-444-21-1-1-222122-2-2-1-111-2200002-211-1-100000000-1-111000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i3−1−i321+i321+i321+i3−1−i3−1−i3−1−i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i321+i3−1−i30000−1−i31+i3−1−i32−1−i321+i321+i32000000001+i321+i32−1−i32−1−i32000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i3−1+i321−i321−i321−i3−1+i3−1+i3−1+i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i321−i3−1+i30000−1+i31−i3−1+i32−1+i321−i321−i32000000001−i321−i32−1+i32−1+i32000000000000

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