Finite Group Databasebeta

← Group #13147332

Character table — Group #13147332

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111111112222224444449999999999991212121212121212181818181818181818181818181818181818181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order122233666666226666441212121222226666666633666666224444444466661212121212121212121212121212121266661212121212121212444444121212121212121212121212
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−i111111111111-1-1i−ii−i-1-1-1-1ii−i−iii−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−ii−ii-1-1-1-1−i−iii−i−iii
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−ii−ii1111−i−iii−i−iii
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−iiiiiiiii1111-1-1-1-1-1-1-1-111i−ii−i1111ii−i−iii−i−i
χ9111111111111-1-1-1-1-1-11-111-1-111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-1
χ10111111111111-1-1-1-1-1-11-111-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11111
χ11111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-1-11i−i−ii-1-111ii−i−i−i−iii
χ12111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-1-11−iii−i-1-111−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-11-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-11111
χ14111111111111-1-1-1-1-1-1-11-1-11111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1
χ15111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111-1−iii−i11-1-1−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111-1i−i−ii11-1-1ii−i−i−i−iii
χ1722-2-22222-2-2-2-22-222-2-200000022-2-22222-2-2-2-22222-2-2-2-22-20000000022-2-2000000000000000022-2-200000000000000000000000000
χ1822-2-22222-2-2-2-22-222-2-2000000-2-222-2-2-2-222222222-2-2-2-2-2200000000-2-222000000000000000022-2-200000000000000000000000000
χ1922-2-22222-2-2-2-2-22-2-22200000022-2-22222-2-2-2-22222-2-2-2-2-2200000000-2-2220000000000000000-2-22200000000000000000000000000
χ2022-2-22222-2-2-2-2-22-2-222000000-2-222-2-2-2-222222222-2-2-2-22-20000000022-2-20000000000000000-2-22200000000000000000000000000
χ212-22-222-2-222-2-20000000000002-22-222-2-222-2-222-2-222-2-200002i−2i002i−2i000000002i2i−2i−2i00002i2i−2i−2i000000000000000000000000000000
χ222-22-222-2-222-2-20000000000002-22-222-2-222-2-222-2-222-2-20000−2i2i00−2i2i00000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000000000000000
χ232-22-222-2-222-2-2000000000000-22-22-2-222-2-22222-2-222-2-200002-200-220000000022-2-20000-2-222000000000000000000000000000000
χ242-22-222-2-222-2-2000000000000-22-22-2-222-2-22222-2-222-2-20000-22002-200000000-2-222000022-2-2000000000000000000000000000000
χ252-2-2222-2-2-2-2220000000000002-2-2222-2-2-2-22222-2-2-2-222002-2002-200000022-2-2000022-2-20000000000000000000000000000000000
χ262-2-2222-2-2-2-2220000000000002-2-2222-2-2-2-22222-2-2-2-22200-2200-22000000-2-2220000-2-2220000000000000000000000000000000000
χ272-2-2222-2-2-2-222000000000000-222-2-2-22222-2-222-2-2-2-222002i−2i00−2i2i0000002i2i−2i−2i0000−2i−2i2i2i0000000000000000000000000000000000
χ282-2-2222-2-2-2-222000000000000-222-2-2-22222-2-222-2-2-2-22200−2i2i002i−2i000000−2i−2i2i2i00002i2i−2i−2i0000000000000000000000000000000000
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−ζ1100000000000011i−ii−i−1−i32−1+i32−1−i32−1+i32ζ7ζ11−ζ7−ζ11ζ7ζ11−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−ii−ii−1−i32−1+i32−1−i32−1+i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
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−ii−ii1+i321−i321+i321−i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
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−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11000000000000-1-1i−ii−i1+i321−i321+i321−i32ζ7ζ11−ζ7−ζ11ζ7ζ11−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+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1ii−i−i−i−iii1+i321−i321+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ110000000000001-1i−i−ii−1−i32−1+i321+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ383333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1−i−iiiii−i−i1+i321−i321+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ110000000000001-1−iii−i−1−i32−1+i321+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ393333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000001111-1-111-1-1−1−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−i321−i321+i321−i321+i32000000000000-1111-1-11+i321−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ403333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000011-1-111-1-111−1−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−i32000000000000-11-1-1111+i321−i32−1−i32−1+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ413333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1ii−i−i−i−iii1+i321−i321+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11000000000000-11−iii−i1+i321−i32−1−i32−1+i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ423333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-1−i−iiiii−i−i1+i321−i321+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11000000000000-11i−i−ii1+i321−i32−1−i32−1+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ433333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000001111-1-111-1-1−1−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−i321−i321+i321−i321+i320000000000001-1-1-111−1−i32−1+i321+i321−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ443333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000011-1-111-1-111−1−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−i320000000000001-111-1-1−1−i32−1+i321+i321−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ453333−3+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−ζ700000000000011i−ii−i−1+i32−1−i32−1+i32−1−i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ463333−3+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−ii−ii−1+i32−1−i32−1+i32−1−i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ473333−3+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
χ483333−3+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
χ493333−3+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−ii−ii1−i321+i321−i321+i32−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ503333−3+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−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7000000000000-1-1i−ii−i1−i321+i321−i321+i32ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ513333−3+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
χ523333−3+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
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χ543333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-1-1−i−iiiii−i−i1−i321+i321−i321+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ70000000000001-1−iii−i−1+i32−1−i321−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ553333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001111-1-111-1-1−1+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+i321+i321−i321+i321−i32000000000000-1111-1-11−i321+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ563333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323−3i323+3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000000011-1-111-1-111−1+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+i32000000000000-11-1-1111−i321+i32−1+i32−1−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
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χ593333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001111-1-111-1-1−1+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+i321+i321−i321+i321−i320000000000001-1-1-111−1+i32−1−i321−i321+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
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χ1048-8-8888-8-8-8-888000000000000000000000000-424-24-2-42000000000000000000000000000000000000000000000000000000000000

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