Finite Group Databasebeta

← Group #13166774

Character table — Group #13166774

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122444444444444666666668899991212121212121212121212121818242424243636363611112244444444444466666666889999121212121212121212121212181824242424363636361111224444444444446666666688999912121212121212121212121218182424242436363636
order1222443366666612121212444444441212222244441212121212121212441212121244443666121233666666121212121212121212121212121266661212121212121212121212121212121212121212121236661212336666661212121212121212121212121212666612121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ91-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11i−ii−iii−i−iii−i−i1-1i−ii−i1-11-11-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11i−ii−iii−i−iii−i−i1-1i−ii−i1-11-11-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11i−ii−iii−i−iii−i−i1-1i−ii−i1-11-1
χ101-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11−ii−iiii−i−iii−i−i1-1−ii−ii-11-111-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11−ii−iiii−i−iii−i−i1-1−ii−ii-11-111-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11−ii−iiii−i−iii−i−i1-1−ii−ii-11-11
χ111-11-11-111-111-1-1-111-1-1−i−iii−i−iii1-11-1-11i−ii−i−i−iii−i−iii1-1i−ii−i-11-111-11-11-111-111-1-1-111-1-1−i−iii−i−iii1-11-1-11i−ii−i−i−iii−i−iii1-1i−ii−i-11-111-11-11-111-111-1-1-111-1-1−i−iii−i−iii1-11-1-11i−ii−i−i−iii−i−iii1-1i−ii−i-11-11
χ121-11-11-111-111-1-1-111-1-1−i−iii−i−iii1-11-1-11−ii−ii−i−iii−i−iii1-1−ii−ii1-11-11-11-11-111-111-1-1-111-1-1−i−iii−i−iii1-11-1-11−ii−ii−i−iii−i−iii1-1−ii−ii1-11-11-11-11-111-111-1-1-111-1-1−i−iii−i−iii1-11-1-11−ii−ii−i−iii−i−iii1-1−ii−ii1-11-1
χ131-11-1-1111-111-1-1-1-1-111ii−i−i−i−iii-111-1-11i−i−iiii−i−i−i−iii-11i−i−ii1-1-111-11-1-1111-111-1-1-1-1-111ii−i−i−i−iii-111-1-11i−i−iiii−i−i−i−iii-11i−i−ii1-1-111-11-1-1111-111-1-1-1-1-111ii−i−i−i−iii-111-1-11i−i−iiii−i−i−i−iii-11i−i−ii1-1-11
χ141-11-1-1111-111-1-1-1-1-111ii−i−i−i−iii-111-1-11−iii−iii−i−i−i−iii-11−iii−i-111-11-11-1-1111-111-1-1-1-1-111ii−i−i−i−iii-111-1-11−iii−iii−i−i−i−iii-11−iii−i-111-11-11-1-1111-111-1-1-1-1-111ii−i−i−i−iii-111-1-11−iii−iii−i−i−i−iii-11−iii−i-111-1
χ151-11-1-1111-111-1-1-1-1-111−i−iiiii−i−i-111-1-11i−i−ii−i−iiiii−i−i-11i−i−ii-111-11-11-1-1111-111-1-1-1-1-111−i−iiiii−i−i-111-1-11i−i−ii−i−iiiii−i−i-11i−i−ii-111-11-11-1-1111-111-1-1-1-1-111−i−iiiii−i−i-111-1-11i−i−ii−i−iiiii−i−i-11i−i−ii-111-1
χ161-11-1-1111-111-1-1-1-1-111−i−iiiii−i−i-111-1-11−iii−i−i−iiiii−i−i-11−iii−i1-1-111-11-1-1111-111-1-1-1-1-111−i−iiiii−i−i-111-1-11−iii−i−i−iiiii−i−i-11−iii−i1-1-111-11-1-1111-111-1-1-1-1-111−i−iiiii−i−i-111-1-11−iii−i−i−iiiii−i−i-11−iii−i1-1-11
χ172222222222222222220000000022-2-2-2-2000000000000-2-2000000002222222222222222220000000022-2-2-2-2000000000000-2-2000000002222222222222222220000000022-2-2-2-2000000000000-2-200000000
χ182222-2-222222222-2-2-2-200000000-2-2-2-2-2-200000000000022000000002222-2-222222222-2-2-2-200000000-2-2-2-2-2-200000000000022000000002222-2-222222222-2-2-2-200000000-2-2-2-2-2-20000000000002200000000
χ1922-2-200222-2-22-2-2000000002i−2i2i−2i00-22-22000000002i−2i2i−2i000000000022-2-200222-2-22-2-2000000002i−2i2i−2i00-22-22000000002i−2i2i−2i000000000022-2-200222-2-22-2-2000000002i−2i2i−2i00-22-22000000002i−2i2i−2i0000000000
χ2022-2-200222-2-22-2-200000000−2i2i−2i2i00-22-2200000000−2i2i−2i2i000000000022-2-200222-2-22-2-200000000−2i2i−2i2i00-22-2200000000−2i2i−2i2i000000000022-2-200222-2-22-2-200000000−2i2i−2i2i00-22-2200000000−2i2i−2i2i0000000000
χ2122-2-200222-2-22-2-200002-22-20000002-22-200002-22-20000000000000022-2-200222-2-22-2-200002-22-20000002-22-200002-22-20000000000000022-2-200222-2-22-2-200002-22-20000002-22-200002-22-200000000000000
χ2222-2-200222-2-22-2-20000-22-220000002-22-20000-22-220000000000000022-2-200222-2-22-2-20000-22-220000002-22-20000-22-220000000000000022-2-200222-2-22-2-20000-22-220000002-22-20000-22-2200000000000000
χ232-22-22-222-222-2-2-222-2-2000000002-2-222-2000000000000-22000000002-22-22-222-222-2-2-222-2-2000000002-2-222-2000000000000-22000000002-22-22-222-222-2-2-222-2-2000000002-2-222-2000000000000-2200000000
χ242-22-2-2222-222-2-2-2-2-22200000000-22-222-20000000000002-2000000002-22-2-2222-222-2-2-2-2-22200000000-22-222-20000000000002-2000000002-22-2-2222-222-2-2-2-2-22200000000-22-222-20000000000002-200000000
χ252-2-220022-2-2-2-222000000002-2-2200-2-222000000002-2-2200000000002-2-220022-2-2-2-222000000002-2-2200-2-222000000002-2-2200000000002-2-220022-2-2-2-222000000002-2-2200-2-222000000002-2-220000000000
χ262-2-220022-2-2-2-22200000000-222-200-2-22200000000-222-200000000002-2-220022-2-2-2-22200000000-222-200-2-22200000000-222-200000000002-2-220022-2-2-2-22200000000-222-200-2-22200000000-222-20000000000
χ272-2-220022-2-2-2-22200002i−2i−2i2i00000022-2-200002i−2i−2i2i000000000000002-2-220022-2-2-2-22200002i−2i−2i2i00000022-2-200002i−2i−2i2i000000000000002-2-220022-2-2-2-22200002i−2i−2i2i00000022-2-200002i−2i−2i2i00000000000000
χ282-2-220022-2-2-2-2220000−2i2i2i−2i00000022-2-20000−2i2i2i−2i000000000000002-2-220022-2-2-2-2220000−2i2i2i−2i00000022-2-20000−2i2i2i−2i000000000000002-2-220022-2-2-2-2220000−2i2i2i−2i00000022-2-20000−2i2i2i−2i00000000000000
χ294444441-211-2-2-21-2-2-2-20000000011000022220000000000-1-1-1-100004444441-211-2-2-21-2-2-2-20000000011000022220000000000-1-1-1-100004444441-211-2-2-21-2-2-2-20000000011000022220000000000-1-1-1-10000
χ304444441-211-2-2-21-2-2-2-200000000110000-2-2-2-20000000000111100004444441-211-2-2-21-2-2-2-200000000110000-2-2-2-20000000000111100004444441-211-2-2-21-2-2-2-200000000110000-2-2-2-2000000000011110000
χ31444444-21-2-2111-2111122222222-2-200000000-1-1-1-1-1-1-1-10000000000444444-21-2-2111-2111122222222-2-200000000-1-1-1-1-1-1-1-10000000000444444-21-2-2111-2111122222222-2-200000000-1-1-1-1-1-1-1-10000000000
χ32444444-21-2-2111-21111-2-2-2-2-2-2-2-2-2-200000000111111110000000000444444-21-2-2111-21111-2-2-2-2-2-2-2-2-2-200000000111111110000000000444444-21-2-2111-21111-2-2-2-2-2-2-2-2-2-200000000111111110000000000
χ334444-4-41-211-2-2-21222200000000-1-1000022-2-20000000000-1-11100004444-4-41-211-2-2-21222200000000-1-1000022-2-20000000000-1-11100004444-4-41-211-2-2-21222200000000-1-1000022-2-20000000000-1-1110000
χ344444-4-41-211-2-2-21222200000000-1-10000-2-222000000000011-1-100004444-4-41-211-2-2-21222200000000-1-10000-2-222000000000011-1-100004444-4-41-211-2-2-21222200000000-1-10000-2-222000000000011-1-10000
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χ524-4-4400-2122-1-11-2−3i3i3i−3i−2i2i2i−2i-222-20000000000i−i−ii1-1-1100000000004-4-4400-2122-1-11-2−3i3i3i−3i−2i2i2i−2i-222-20000000000i−i−ii1-1-1100000000004-4-4400-2122-1-11-2−3i3i3i−3i−2i2i2i−2i-222-20000000000i−i−ii1-1-110000000000
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χ1151111-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i321+i321+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+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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
χ1161111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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+i32−1+i32−1+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+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1171-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11i−ii−iii−i−iii−i−i1-1i−ii−i1-11-1−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32
χ1181-11-11-111-111-1-1-111-1-1ii−i−iii−i−i1-11-1-11−ii−iiii−i−iii−i−i1-1−ii−ii-11-11−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32
χ1191-11-11-111-111-1-1-111-1-1−i−iii−i−iii1-11-1-11i−ii−i−i−iii−i−iii1-1i−ii−i-11-11−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32
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χ1252222222222222222220000000022-2-2-2-2000000000000-2-200000000−1−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−i300000000−1−i3−1−i31+i31+i31+i31+i30000000000001+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+i300000000−1+i3−1+i31−i31−i31−i31−i30000000000001−i31−i300000000
χ1262222-2-222222222-2-2-2-200000000-2-2-2-2-2-20000000000002200000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000001+i31+i31+i31+i31+i31+i3000000000000−1−i3−1−i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000001−i31−i31−i31−i31−i31−i3000000000000−1+i3−1+i300000000
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χ13022-2-200222-2-22-2-20000-22-220000002-22-20000-22-2200000000000000−1−i3−1−i31+i31+i300−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300001+i3−1−i31+i3−1−i3000000−1−i31+i3−1−i31+i300001+i3−1−i31+i3−1−i300000000000000−1+i3−1+i31−i31−i300−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300001−i3−1+i31−i3−1+i3000000−1+i31−i3−1+i31−i300001−i3−1+i31−i3−1+i300000000000000
χ1312-22-22-222-222-2-2-222-2-2000000002-2-222-2000000000000-2200000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i300000000−1−i31+i31+i3−1−i3−1−i31+i30000000000001+i3−1−i300000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i300000000−1+i31−i31−i3−1+i3−1+i31−i30000000000001−i3−1+i300000000
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χ1342-2-220022-2-2-2-22200000000-222-200-2-22200000000-222-20000000000−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000001+i3−1−i3−1−i31+i3001+i31+i3−1−i3−1−i3000000001+i3−1−i3−1−i31+i30000000000−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000001−i3−1+i3−1+i31−i3001−i31−i3−1+i3−1+i3000000001−i3−1+i3−1+i31−i30000000000
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χ1374444441-211-2-2-21-2-2-2-20000000011000022220000000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i321+i31+i31+i31+i300000000−1−i32−1−i320000−1−i3−1−i3−1−i3−1−i300000000001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i321−i31−i31−i31−i300000000−1+i32−1+i320000−1+i3−1+i3−1+i3−1+i300000000001−i321−i321−i321−i320000
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χ139444444-21-2-2111-2111122222222-2-200000000-1-1-1-1-1-1-1-10000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000001+i321+i321+i321+i321+i321+i321+i321+i320000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000001−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ140444444-21-2-2111-21111-2-2-2-2-2-2-2-2-2-200000000111111110000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i31+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i31−i31−i31−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000
χ1414444-4-41-211-2-2-21222200000000-1-1000022-2-20000000000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3−1−i3−1−i3−1−i3000000001+i321+i320000−1−i3−1−i31+i31+i300000000001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3−1+i3−1+i3−1+i3000000001−i321−i320000−1+i3−1+i31−i31−i300000000001−i321−i32−1+i32−1+i320000
χ1424444-4-41-211-2-2-21222200000000-1-10000-2-222000000000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3−1−i3−1−i3−1−i3000000001+i321+i3200001+i31+i3−1−i3−1−i30000000000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3−1+i3−1+i3−1+i3000000001−i321−i3200001−i31−i3−1+i3−1+i30000000000−1+i32−1+i321−i321−i320000
χ1434444-4-4-21-2-2111-2-1-1-1-12222-2-2-2-22200000000-1-1-1-111110000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000
χ1444444-4-4-21-2-2111-2-1-1-1-1-2-2-2-2222222000000001111-1-1-1-10000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000
χ14544-4-400-21-22-11-123i−3i3i−3i2-22-22i−2i2i−2i0000000000-11-11−ii−ii0000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i321+i3−1−i31+i32−1−i321+i32−1−i33ζ11−3ζ113ζ11−3ζ11−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ1100000000001+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i321−i3−1+i31−i32−1+i321−i32−1+i33ζ7−3ζ73ζ7−3ζ7−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ700000000001−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000
χ14644-4-400-21-22-11-123i−3i3i−3i-22-22−2i2i−2i2i00000000001-11-1i−ii−i0000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i321+i3−1−i31+i32−1−i321+i32−1−i33ζ11−3ζ113ζ11−3ζ111+i3−1−i31+i3−1−i3−2ζ112ζ11−2ζ112ζ110000000000−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ110000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i321−i3−1+i31−i32−1+i321−i32−1+i33ζ7−3ζ73ζ7−3ζ71−i3−1+i31−i3−1+i3−2ζ72ζ7−2ζ72ζ70000000000−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ70000000000
χ14744-4-400-21-22-11-12−3i3i−3i3i2-22-2−2i2i−2i2i0000000000-11-11i−ii−i0000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i321+i3−1−i31+i32−1−i321+i32−1−i3−3ζ113ζ11−3ζ113ζ11−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ1100000000001+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i321−i3−1+i31−i32−1+i321−i32−1+i3−3ζ73ζ7−3ζ73ζ7−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ700000000001−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000000000
χ14844-4-400-21-22-11-12−3i3i−3i3i-22-222i−2i2i−2i00000000001-11-1−ii−ii0000000000−2−2i3−2−2i32+2i32+2i3001+i3−1−i321+i3−1−i31+i32−1−i321+i32−1−i3−3ζ113ζ11−3ζ113ζ111+i3−1−i31+i3−1−i32ζ11−2ζ112ζ11−2ζ110000000000−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ110000000000−2+2i3−2+2i32−2i32−2i3001−i3−1+i321−i3−1+i31−i32−1+i321−i32−1+i3−3ζ73ζ7−3ζ73ζ71−i3−1+i31−i3−1+i32ζ7−2ζ72ζ7−2ζ70000000000−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ70000000000
χ1494-44-44-41-2-11-222-1-2-222000000001-100002i−2i2i−2i0000000000−ii−ii0000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i321+i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i300000000−1−i321+i3200002ζ11−2ζ112ζ11−2ζ110000000000−ζ11ζ11−ζ11ζ110000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i321−i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i300000000−1+i321−i3200002ζ7−2ζ72ζ7−2ζ70000000000−ζ7ζ7−ζ7ζ70000
χ1504-44-44-41-2-11-222-1-2-222000000001-10000−2i2i−2i2i0000000000i−ii−i0000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i321+i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i300000000−1−i321+i320000−2ζ112ζ11−2ζ112ζ110000000000ζ11−ζ11ζ11−ζ110000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i321−i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i300000000−1+i321−i320000−2ζ72ζ7−2ζ72ζ70000000000ζ7−ζ7ζ7−ζ70000
χ1514-44-44-4-212-21-1-1211-1-12i2i−2i−2i2i2i−2i−2i-2200000000−i−iii−i−iii0000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i3−1−i321+i321+i32−1−i3−1−i32−1−i321+i321+i322ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ111+i3−1−i300000000−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ110000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i3−1+i321−i321−i32−1+i3−1+i32−1+i321−i321−i322ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ71−i3−1+i300000000−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ70000000000
χ1524-44-44-4-212-21-1-1211-1-1−2i−2i2i2i−2i−2i2i2i-2200000000ii−i−iii−i−i0000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i3−1−i321+i321+i32−1−i3−1−i32−1−i321+i321+i32−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ111+i3−1−i300000000ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ110000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i3−1+i321−i321−i32−1+i3−1+i32−1+i321−i321−i32−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ71−i3−1+i300000000ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ70000000000
χ1534-44-4-441-2-11-222-122-2-200000000-1100002i−2i−2i2i0000000000−iii−i0000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i321+i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i3000000001+i32−1−i3200002ζ11−2ζ11−2ζ112ζ110000000000−ζ11ζ11ζ11−ζ110000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i321−i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i3000000001−i32−1+i3200002ζ7−2ζ7−2ζ72ζ70000000000−ζ7ζ7ζ7−ζ70000
χ1544-44-4-441-2-11-222-122-2-200000000-110000−2i2i2i−2i0000000000i−i−ii0000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i321+i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i3000000001+i32−1−i320000−2ζ112ζ112ζ11−2ζ110000000000ζ11−ζ11−ζ11ζ110000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i321−i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i3000000001−i32−1+i320000−2ζ72ζ72ζ7−2ζ70000000000ζ7−ζ7−ζ7ζ70000
χ1554-44-4-44-212-21-1-12-1-1112i2i−2i−2i−2i−2i2i2i2-200000000−i−iiiii−i−i0000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i3−1−i321+i321+i32−1−i31+i321+i32−1−i32−1−i322ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ11−1−i31+i300000000−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ110000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i3−1+i321−i321−i32−1+i31−i321−i32−1+i32−1+i322ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ7−1+i31−i300000000−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ70000000000
χ1564-44-4-44-212-21-1-12-1-111−2i−2i2i2i2i2i−2i−2i2-200000000ii−i−i−i−iii0000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i3−1−i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ11−2ζ11−1−i31+i300000000ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ110000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i3−1+i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ7−2ζ7−1+i31−i300000000ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ70000000000
χ1574-4-4400-2122-1-11-23i−3i−3i3i2i−2i−2i2i-222-20000000000−iii−i1-1-110000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i3−1−i31+i321+i32−1−i321+i33ζ11−3ζ11−3ζ113ζ112ζ11−2ζ11−2ζ112ζ111+i3−1−i3−1−i31+i30000000000−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i320000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i3−1+i31−i321−i32−1+i321−i33ζ7−3ζ7−3ζ73ζ72ζ7−2ζ7−2ζ72ζ71−i3−1+i3−1+i31−i30000000000−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i320000000000
χ1584-4-4400-2122-1-11-23i−3i−3i3i−2i2i2i−2i2-2-220000000000i−i−ii-111-10000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i3−1−i31+i321+i32−1−i321+i33ζ11−3ζ11−3ζ113ζ11−2ζ112ζ112ζ11−2ζ11−1−i31+i31+i3−1−i30000000000ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i320000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i3−1+i31−i321−i32−1+i321−i33ζ7−3ζ7−3ζ73ζ7−2ζ72ζ72ζ7−2ζ7−1+i31−i31−i3−1+i30000000000ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i320000000000
χ1594-4-4400-2122-1-11-2−3i3i3i−3i2i−2i−2i2i2-2-220000000000−iii−i-111-10000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i3−1−i31+i321+i32−1−i321+i3−3ζ113ζ113ζ11−3ζ112ζ11−2ζ11−2ζ112ζ11−1−i31+i31+i3−1−i30000000000−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i320000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i3−1+i31−i321−i32−1+i321−i3−3ζ73ζ73ζ7−3ζ72ζ7−2ζ7−2ζ72ζ7−1+i31−i31−i3−1+i30000000000−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i320000000000
χ1604-4-4400-2122-1-11-2−3i3i3i−3i−2i2i2i−2i-222-20000000000i−i−ii1-1-110000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i3−1−i31+i321+i32−1−i321+i3−3ζ113ζ113ζ11−3ζ11−2ζ112ζ112ζ11−2ζ111+i3−1−i3−1−i31+i30000000000ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i320000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i3−1+i31−i321−i32−1+i321−i3−3ζ73ζ73ζ7−3ζ7−2ζ72ζ72ζ7−2ζ71−i3−1+i3−1+i31−i30000000000ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i320000000000
χ16188-8-8002-42-24-44-20000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i300−1−i32+2i3−1−i31+i3−2−2i32+2i3−2−2i31+i30000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i300−1+i32−2i3−1+i31−i3−2+2i32−2i3−2+2i31−i30000000000000000000000000000000000000000
χ1628-8-88002-4-2-244-420000000000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i300−1−i32+2i31+i31+i3−2−2i3−2−2i32+2i3−1−i30000000000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i300−1+i32−2i31−i31−i3−2+2i3−2+2i32−2i3−1+i30000000000000000000000000000000000000000

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