Finite Group Databasebeta

← Group #13136897

Character table — Group #13136897

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111111112222224444449999999999991212121212121212181818181818181818181818181818181818181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order1222336666664412121212441212121244441212121212121212336666662244444444666612121212121212121212121212121212121212121212121212121212448888121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-111−i−iii1111−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-111ii−i−i1111iiii−i−i−i−i
χ91-11-111-1-111-1-11-111-1-1i−iii−i−i11-1-11111-1-1-1-111-1-111-1-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1iiii−i−i−i−ii−ii−ii−iii−i−iii−i−iii−i−i
χ101-11-111-1-111-1-11-111-1-1i−iii−i−i11-1-11111-1-1-1-111-1-111-1-1-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1iiii−i−i−i−ii−i−ii−iiii−i−i−i−iii−i−iii
χ111-11-111-1-111-1-11-111-1-1i−iii−i−i-1-111-1-1-1-1111111-1-111-1-11-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1iiii−i−i−i−i−ii-111-1−i−iii-1-11111-1-1
χ121-11-111-1-111-1-11-111-1-1i−iii−i−i-1-111-1-1-1-1111111-1-111-1-11-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii1-1-11−i−iii11-1-1-1-111
χ131-11-111-1-111-1-11-111-1-1−ii−i−iii11-1-11111-1-1-1-111-1-111-1-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii−ii−ii−ii−i−iii−i−iii−i−iii
χ141-11-111-1-111-1-11-111-1-1−ii−i−iii11-1-11111-1-1-1-111-1-111-1-1-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1−i−i−i−iiiii−iii−ii−i−i−iiiii−i−iii−i−i
χ151-11-111-1-111-1-11-111-1-1−ii−i−iii-1-111-1-1-1-1111111-1-111-1-11-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−i−i−iiiiii−i1-1-11ii−i−i11-1-1-1-111
χ161-11-111-1-111-1-11-111-1-1−ii−i−iii-1-111-1-1-1-1111111-1-111-1-11-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−i−i−iiiiii−i-111-1ii−i−i-1-11111-1-1
χ17222222222222-2-2-2-2-2-200000022222222222222222222-2-200000000-2-2-2-20000000000000000-2-2-2-200000000000000000000000000
χ18222222222222-2-2-2-2-2-2000000-2-2-2-2-2-2-2-2-2-2-2-222222222220000000022220000000000000000-2-2-2-200000000000000000000000000
χ1922-2-22222-2-2-2-20000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i22-2-2-2-222001+i−1−i1+i−1−i1−i−1+i1−i−1+i00001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000000000000000000000000000
χ2022-2-22222-2-2-2-20000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i22-2-2-2-22200−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000000000000000000000000000
χ2122-2-22222-2-2-2-2000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i22-2-2-2-222001−i−1+i1−i−1+i1+i−1−i1+i−1−i00001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000000000000000000000000000
χ2222-2-22222-2-2-2-2000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i22-2-2-2-22200−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000000000000000000000000000
χ232-22-222-2-222-2-2-22-2-22200000022-2-22222-2-2-2-222-2-222-2-22-20000000022-2-20000000000000000-2-22200000000000000000000000000
χ242-22-222-2-222-2-2-22-2-222000000-2-222-2-2-2-2222222-2-222-2-2-2200000000-2-2220000000000000000-2-22200000000000000000000000000
χ252-2-2222-2-2-2-2220000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2222-2-2-2-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i00001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000000000000000000000000000
χ262-2-2222-2-2-2-2220000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2222-2-2-2-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000000000000000000000000000
χ272-2-2222-2-2-2-222000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i2222-2-2-2-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i00001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i000000000000000000000000000000
χ282-2-2222-2-2-2-222000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i2222-2-2-2-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000000000000000000000000000
χ293333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ1100000000000011ii−i−i−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ303333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ1100000000000011−i−iii−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ313333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1111111111+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−i32000000000000-1-111111+i321−i321+i321−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+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000-1-1-1-1-1-11+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+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11000000000000-1-1−i−iii1+i321−i321+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ343333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11000000000000-1-1ii−i−i1+i321−i321+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ353333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1111111111+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−i3200000000000011-1-1-1-1−1−i32−1+i32−1−i32−1+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ363333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ373333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ700000000000011ii−i−i−1+i32−1−i32−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ383333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ700000000000011−i−iii−1+i32−1−i32−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ393333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1111111111−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+i32000000000000-1-111111−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ403333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000000000-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ413333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7000000000000-1-1−i−iii1−i321+i321−i321+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ423333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7000000000000-1-1ii−i−i1−i321+i321−i321+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ433333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1111111111−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+i3200000000000011-1-1-1-1−1+i32−1−i32−1+i32−1−i321+i321−i321+i321−i321+i321−i321+i321−i32
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χ946-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000002i−2i−2i2i2ζ112ζ7−2ζ11−2ζ7−2ζ11−2ζ72ζ112ζ70000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11000000000000000000000000000000
χ956-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000000000−2i2i2i−2i−2ζ11−2ζ72ζ112ζ72ζ112ζ7−2ζ11−2ζ700000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11000000000000000000000000000000
χ966-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000000000−2i2i2i−2i−2ζ11−2ζ72ζ112ζ72ζ112ζ7−2ζ11−2ζ70000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000−ζ7+ζ10ζ2−ζ11ζ7−ζ10−ζ2+ζ11ζ7−ζ10−ζ2+ζ11−ζ7+ζ10ζ2−ζ11ζ7+ζ10ζ2+ζ11−ζ7−ζ10−ζ2−ζ11−ζ7−ζ10−ζ2−ζ11ζ7+ζ10ζ2+ζ11000000000000000000000000000000
χ976-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000002i−2i−2i2i2ζ72ζ11−2ζ7−2ζ11−2ζ7−2ζ112ζ72ζ1100000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10000000000000000000000000000000
χ986-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000002i−2i−2i2i2ζ72ζ11−2ζ7−2ζ11−2ζ7−2ζ112ζ72ζ110000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10000000000000000000000000000000
χ996-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000000000−2i2i2i−2i−2ζ7−2ζ112ζ72ζ112ζ72ζ11−2ζ7−2ζ1100000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10000000000000000000000000000000
χ1006-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000000000−2i2i2i−2i−2ζ7−2ζ112ζ72ζ112ζ72ζ11−2ζ7−2ζ110000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000ζ2−ζ11−ζ7+ζ10−ζ2+ζ11ζ7−ζ10−ζ2+ζ11ζ7−ζ10ζ2−ζ11−ζ7+ζ10ζ2+ζ11ζ7+ζ10−ζ2−ζ11−ζ7−ζ10−ζ2−ζ11−ζ7−ζ10ζ2+ζ11ζ7+ζ10000000000000000000000000000000
χ10188-8-88888-8-8-8-80000000000000000000000002-4-24-242-4000000000000000000000000000000000000000000000000000000000000
χ10288-8-88888-8-8-8-8000000000000000000000000-424-24-2-42000000000000000000000000000000000000000000000000000000000000
χ1038-8-8888-8-8-8-8880000000000000000000000002-42-4-24-24000000000000000000000000000000000000000000000000000000000000
χ1048-8-8888-8-8-8-888000000000000000000000000-42-424-24-2000000000000000000000000000000000000000000000000000000000000

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