Finite Group Databasebeta

← Group #13157077

Character table — Group #13157077

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122444444444444444444444444444444444418181818363636363636363636361111224444444444444444444444444444444444181818183636363636363636363611112244444444444444444444444444444444441818181836363636363636363636
order1244243344666666121212121212121212121212121212121212121212121212224444444488883612126123312126666661212121212121212121212121212121212121212121212126612121212121212122424242436121261233121266666612121212121212121212121212121212121212121212121266121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i1111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i1111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii1111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii1111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii11111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii11111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ811111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i11111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i11111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
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χ101111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii−ii-11-111111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii−ii-11-111111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii−ii-11-11
χ111111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii1-1-11−iii−i1111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii1-1-11−iii−i1111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii1-1-11−iii−i
χ121111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii-111-1i−i−ii1111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii-111-1i−i−ii1111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii-111-1i−i−ii
χ131111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−ii−i-11-111111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−ii−i-11-111111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−ii−i-11-11
χ141111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−ii−ii−ii1-11-11111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−ii−ii−ii1-11-11111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−ii−ii−ii1-11-1
χ151111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i1-1-11i−i−ii1111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i1-1-11i−i−ii1111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i1-1-11i−i−ii
χ161111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i-111-1−iii−i1111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i-111-1−iii−i1111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i-111-1−iii−i
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χ1822-2-22-22200222222-2-2-2-2-2-2-2-20000000000000000-2-222000000000022-2-22-22200222222-2-2-2-2-2-2-2-20000000000000000-2-222000000000022-2-22-22200222222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000
χ1922-2-2-22220022-2-2-2-2-2-2-2-2222200000000000000002-22-2000000000022-2-2-22220022-2-2-2-2-2-2-2-2222200000000000000002-22-2000000000022-2-2-22220022-2-2-2-2-2-2-2-2222200000000000000002-22-20000000000
χ2022-2-2-22220022-2-2-2-2-2-2-2-222220000000000000000-22-22000000000022-2-2-22220022-2-2-2-2-2-2-2-222220000000000000000-22-22000000000022-2-2-22220022-2-2-2-2-2-2-2-222220000000000000000-22-220000000000
χ214444441-2441-211-2-211-2-211-2-21111-2-2-2-21111-2-2-2-2000000000000004444441-2441-211-2-211-2-211-2-21111-2-2-2-21111-2-2-2-2000000000000004444441-2441-211-2-211-2-211-2-21111-2-2-2-21111-2-2-2-200000000000000
χ224444441-2-4-41-211-2-211-2-211-2-2-1-1-1-12222-1-1-1-12222000000000000004444441-2-4-41-211-2-211-2-211-2-2-1-1-1-12222-1-1-1-12222000000000000004444441-2-4-41-211-2-211-2-211-2-2-1-1-1-12222-1-1-1-1222200000000000000
χ23444444-2144-21-2-211-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000444444-2144-21-2-211-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000444444-2144-21-2-211-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000
χ24444444-21-4-4-21-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000444444-21-4-4-21-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000444444-21-4-4-21-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000
χ254444-4-41-24i−4i1-2-1-12211-2-2-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i000000000000004444-4-41-24i−4i1-2-1-12211-2-2-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i000000000000004444-4-41-24i−4i1-2-1-12211-2-2-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i00000000000000
χ264444-4-41-2−4i4i1-2-1-12211-2-2-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i000000000000004444-4-41-2−4i4i1-2-1-12211-2-2-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i000000000000004444-4-41-2−4i4i1-2-1-12211-2-2-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i00000000000000
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χ2944-4-44-41-2001-211-2-2-1-122-1-12233-3-3000033-3-300000000000000000044-4-44-41-2001-211-2-2-1-122-1-12233-3-3000033-3-300000000000000000044-4-44-41-2001-211-2-2-1-122-1-12233-3-3000033-3-3000000000000000000
χ3044-4-44-41-2001-211-2-2-1-122-1-122-3-3330000-3-33300000000000000000044-4-44-41-2001-211-2-2-1-122-1-122-3-3330000-3-33300000000000000000044-4-44-41-2001-211-2-2-1-122-1-122-3-3330000-3-333000000000000000000
χ3144-4-44-4-2100-21-2-21122-1-122-1-1000033-3-3000033-3-30000000000000044-4-44-4-2100-21-2-21122-1-122-1-1000033-3-3000033-3-30000000000000044-4-44-4-2100-21-2-21122-1-122-1-1000033-3-3000033-3-300000000000000
χ3244-4-44-4-2100-21-2-21122-1-122-1-10000-3-3330000-3-3330000000000000044-4-44-4-2100-21-2-21122-1-122-1-10000-3-3330000-3-3330000000000000044-4-44-4-2100-21-2-21122-1-122-1-10000-3-3330000-3-33300000000000000
χ3344-4-4-441-2001-2-1-122-1-12211-2-23i3i−3i−3i0000−3i−3i3i3i00000000000000000044-4-4-441-2001-2-1-122-1-12211-2-23i3i−3i−3i0000−3i−3i3i3i00000000000000000044-4-4-441-2001-2-1-122-1-12211-2-23i3i−3i−3i0000−3i−3i3i3i000000000000000000
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χ3544-4-4-44-2100-2122-1-122-1-1-2-21100003i3i−3i−3i0000−3i−3i3i3i0000000000000044-4-4-44-2100-2122-1-122-1-1-2-21100003i3i−3i−3i0000−3i−3i3i3i0000000000000044-4-4-44-2100-2122-1-122-1-1-2-21100003i3i−3i−3i0000−3i−3i3i3i00000000000000
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χ6111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii−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+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−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−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
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χ1111111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i−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−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+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+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+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−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ1121111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii−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−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−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+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+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−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ11311111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1−1−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−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+i321+i321+i321+i321+i32−1−i32−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ11411111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−1−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−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+i321+i321+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+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+i321−i321−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32
χ11511111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii−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−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+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+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ11611111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−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−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+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+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ1171111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−ii−ii−i1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32
χ1181111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii−ii-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32
χ1191111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii1-1-11−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ1201111-1-111i−i11-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−ii-111-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ1211111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−ii−i-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32
χ1221111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−ii−ii−ii1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32
χ1231111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i1-1-11i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ1241111-1-111−ii11-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i-111-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
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χ1604-4−4i4i00-21002-1003-32i−2ii−i00−3i3iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−33−i3i3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ113−3−i3i300000000000000−2−2i32+2i3−4ζ114ζ11001+i3−1−i3200−1−i31+i3200−3−3i323+3i322ζ11−2ζ11ζ11−ζ1100−3ζ113ζ11ζ2+2ζ7+2ζ10+ζ11−ζ2−2ζ7−2ζ10−ζ11−ζ2+2ζ7−2ζ10+ζ11ζ2−2ζ7+2ζ10−ζ11−2ζ7−ζ112ζ7+ζ11−3+i323−i32ζ2−2ζ7+2ζ10−ζ11−ζ2+2ζ7−2ζ10+ζ11ζ2+2ζ7+2ζ10+ζ11−ζ2−2ζ7−2ζ10−ζ112ζ7+ζ11−2ζ7−ζ11−3+i323−i3200000000000000−2+2i32−2i3−4ζ74ζ7001−i3−1+i3200−1+i31−i3200−3+3i323−3i322ζ7−2ζ7ζ7−ζ700−3ζ73ζ7−2ζ2−ζ7−ζ10−2ζ112ζ2+ζ7+ζ10+2ζ112ζ2−ζ7+ζ10−2ζ11−2ζ2+ζ7−ζ10+2ζ11ζ7+2ζ11−ζ7−2ζ113+i32−3−i32−2ζ2+ζ7−ζ10+2ζ112ζ2−ζ7+ζ10−2ζ11−2ζ2−ζ7−ζ10−2ζ112ζ2+ζ7+ζ10+2ζ11−ζ7−2ζ11ζ7+2ζ113+i32−3−i3200000000000000
χ1614-4−4i4i00-21002-100-332i−2ii−i003i−3i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11i3−i3−33−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11i3−i33−300000000000000−2−2i32+2i3−4ζ114ζ11001+i3−1−i3200−1−i31+i32003+3i32−3−3i322ζ11−2ζ11ζ11−ζ11003ζ11−3ζ11−ζ2+2ζ7−2ζ10+ζ11ζ2−2ζ7+2ζ10−ζ11−ζ2−2ζ7−2ζ10−ζ11ζ2+2ζ7+2ζ10+ζ113−i32−3+i32−2ζ7−ζ112ζ7+ζ11−ζ2−2ζ7−2ζ10−ζ11ζ2+2ζ7+2ζ10+ζ11ζ2−2ζ7+2ζ10−ζ11−ζ2+2ζ7−2ζ10+ζ113−i32−3+i322ζ7+ζ11−2ζ7−ζ1100000000000000−2+2i32−2i3−4ζ74ζ7001−i3−1+i3200−1+i31−i32003−3i32−3+3i322ζ7−2ζ7ζ7−ζ7003ζ7−3ζ72ζ2−ζ7+ζ10−2ζ11−2ζ2+ζ7−ζ10+2ζ112ζ2+ζ7+ζ10+2ζ11−2ζ2−ζ7−ζ10−2ζ11−3−i323+i32ζ7+2ζ11−ζ7−2ζ112ζ2+ζ7+ζ10+2ζ11−2ζ2−ζ7−ζ10−2ζ11−2ζ2+ζ7−ζ10+2ζ112ζ2−ζ7+ζ10−2ζ11−3−i323+i32−ζ7−2ζ11ζ7+2ζ1100000000000000
χ1624-4−4i4i00-21002-100-332i−2ii−i003i−3iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−i3i33−3ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−i3i3−3300000000000000−2−2i32+2i3−4ζ114ζ11001+i3−1−i3200−1−i31+i32003+3i32−3−3i322ζ11−2ζ11ζ11−ζ11003ζ11−3ζ11ζ2−2ζ7+2ζ10−ζ11−ζ2+2ζ7−2ζ10+ζ11ζ2+2ζ7+2ζ10+ζ11−ζ2−2ζ7−2ζ10−ζ11−3+i323−i322ζ7+ζ11−2ζ7−ζ11ζ2+2ζ7+2ζ10+ζ11−ζ2−2ζ7−2ζ10−ζ11−ζ2+2ζ7−2ζ10+ζ11ζ2−2ζ7+2ζ10−ζ11−3+i323−i32−2ζ7−ζ112ζ7+ζ1100000000000000−2+2i32−2i3−4ζ74ζ7001−i3−1+i3200−1+i31−i32003−3i32−3+3i322ζ7−2ζ7ζ7−ζ7003ζ7−3ζ7−2ζ2+ζ7−ζ10+2ζ112ζ2−ζ7+ζ10−2ζ11−2ζ2−ζ7−ζ10−2ζ112ζ2+ζ7+ζ10+2ζ113+i32−3−i32−ζ7−2ζ11ζ7+2ζ11−2ζ2−ζ7−ζ10−2ζ112ζ2+ζ7+ζ10+2ζ112ζ2−ζ7+ζ10−2ζ11−2ζ2+ζ7−ζ10+2ζ113+i32−3−i32ζ7+2ζ11−ζ7−2ζ1100000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.