Finite Group Databasebeta

← Group #13147384

Character table — Group #13147384

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111112222222222222222229999999999991212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122233666666224444666612121212121212124444121212121212121233666666666666661212121212121212121212121212121222224466666666121212128888888824242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ1722-2-22222-2-2-2-200002i−2i000000002i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2222-2-200000000-2-2000000002i2i2i2i−2i−2i−2i−2i002-200000022-2-20000000000000000000000000000
χ1822-2-22222-2-2-2-200002i−2i000000002i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2222-2-200000000-2-2000000002i2i2i2i−2i−2i−2i−2i00-22000000-2-2220000000000000000000000000000
χ1922-2-22222-2-2-2-20000−2i2i00000000−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2222-2-200000000-2-200000000−2i−2i−2i−2i2i2i2i2i00-22000000-2-2220000000000000000000000000000
χ2022-2-22222-2-2-2-20000−2i2i00000000−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2222-2-200000000-2-200000000−2i−2i−2i−2i2i2i2i2i002-200000022-2-20000000000000000000000000000
χ212-22-222-2-222-2-2002i−2i0000002i2i−2i−2i00002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i22-2-22200000000-2-22i2i2i2i−2i−2i−2i−2i000000002-2000022-2-200000000000000000000000000000000
χ222-22-222-2-222-2-2002i−2i0000002i2i−2i−2i0000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i22-2-22200000000-2-22i2i2i2i−2i−2i−2i−2i00000000-220000-2-22200000000000000000000000000000000
χ232-22-222-2-222-2-200−2i2i000000−2i−2i2i2i00002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i22-2-22200000000-2-2−2i−2i−2i−2i2i2i2i2i00000000-220000-2-22200000000000000000000000000000000
χ242-22-222-2-222-2-200−2i2i000000−2i−2i2i2i0000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i22-2-22200000000-2-2−2i−2i−2i−2i2i2i2i2i000000002-2000022-2-200000000000000000000000000000000
χ252-2-2222-2-2-2-2222-2000022-2-2000000002-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-222000000000000000000002-20000000022-2-2000000000000000000000000
χ262-2-2222-2-2-2-2222-2000022-2-200000000-222-2-2-22222-2-222-2-2-2-22222-2-2-2-22200000000000000000000-2200000000-2-222000000000000000000000000
χ272-2-2222-2-2-2-222-220000-2-222000000002-2-2222-2-2-2-22222-2-2-2-2-2-2-2-222222200000000000000000000-2200000000-2-222000000000000000000000000
χ282-2-2222-2-2-2-222-220000-2-22200000000-222-2-2-22222-2-222-2-2-2-2-2-2-2-2222222000000000000000000002-20000000022-2-2000000000000000000000000
χ293333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32iiii−i−i−i−iζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11
χ303333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−i−i−i−iiiii−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11
χ313333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3211111111−1+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
χ323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ii−i−i−i−iiiζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ343333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−i−iiiii−i−i−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ353333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000000000000000000000000000001111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ363333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000000000000000000000000000001111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-1-111-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ373333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-333-3-33+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000000000000000000011-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32i−ii−i−ii−iiζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ383333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-333-3-33+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000000000000000000011-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32−ii−iii−ii−i−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ393333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-333-3-33+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-111111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-11-11-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ403333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-333-3-33+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000-1-111111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-11-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ413333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3333+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32i−i−ii−iii−iζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ423333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3333+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−iii−ii−i−ii−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ433333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3333+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000000000000000000000000000011-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321-1-111-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
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χ1036-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300−6i6i000000−6ζ11−6ζ76ζ116ζ700002i−2i2i−2i2ζ112ζ7−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ700000000000000000000000000000000-2200001+i31−i3−1−i3−1+i300000000000000000000000000000000
χ1046-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300−6i6i000000−6ζ11−6ζ76ζ116ζ70000−2i2i−2i2i−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ72ζ112ζ7000000000000000000000000000000002-20000−1−i3−1+i31+i31−i300000000000000000000000000000000
χ1056-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3006i−6i0000006ζ76ζ11−6ζ7−6ζ1100002i−2i2i−2i2ζ72ζ11−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ11000000000000000000000000000000002-20000−1+i3−1−i31−i31+i300000000000000000000000000000000
χ1066-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3006i−6i0000006ζ76ζ11−6ζ7−6ζ110000−2i2i−2i2i−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ1100000000000000000000000000000000-2200001−i31+i3−1+i3−1−i300000000000000000000000000000000
χ1076-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300−6i6i000000−6ζ7−6ζ116ζ76ζ1100002i−2i2i−2i2ζ72ζ11−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ1100000000000000000000000000000000-2200001−i31+i3−1+i3−1−i300000000000000000000000000000000
χ1086-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300−6i6i000000−6ζ7−6ζ116ζ76ζ110000−2i2i−2i2i−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ11000000000000000000000000000000002-20000−1+i3−1−i31−i31+i300000000000000000000000000000000
χ1096-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-60000−3−3i3−3+3i33+3i33−3i3000000002-2-22−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30000000000000000000000000000000000002-200000000−1−i3−1+i31+i31−i3000000000000000000000000
χ1106-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-60000−3−3i3−3+3i33+3i33−3i300000000-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000000000000000000000000000-22000000001+i31−i3−1−i3−1+i3000000000000000000000000
χ1116-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-6600003+3i33−3i3−3−3i3−3+3i3000000002-2-22−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000000000000000000000000000000000-22000000001+i31−i3−1−i3−1+i3000000000000000000000000
χ1126-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-6600003+3i33−3i3−3−3i3−3+3i300000000-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000000000000000000000000000000000002-200000000−1−i3−1+i31+i31−i3000000000000000000000000
χ1136-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-60000−3+3i3−3−3i33−3i33+3i3000000002-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30000000000000000000000000000000000002-200000000−1+i3−1−i31−i31+i3000000000000000000000000
χ1146-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-60000−3+3i3−3−3i33−3i33+3i300000000-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000000000000000000000000000-22000000001−i31+i3−1+i3−1−i3000000000000000000000000
χ1156-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-6600003−3i33+3i3−3+3i3−3−3i3000000002-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000000000000000000000000000000000-22000000001−i31+i3−1+i3−1−i3000000000000000000000000
χ1166-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-6600003−3i33+3i3−3+3i3−3−3i300000000-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000000000000000000000000000000000002-200000000−1+i3−1−i31−i31+i3000000000000000000000000

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