Finite Group Databasebeta

← Group #11787861

Character table — Group #11787861

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444444888888888888888812121212121212121212121224241111222222222244444444448888888888888888121212121212121212121212242411112222222222444444444488888888888888881212121212121212121212122424
order1222223444466622226612121212666688882424242424242424444444444444223666663121212126666666661212121266662424242424242424242424241212121212121212121212126636666631212121266666666612121212666624242424242424242424242412121212121212121212121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1
χ911-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-11-111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-11-111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-11-1
χ1011-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-1-111-1111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-1-111-1111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1i−ii−iii−i−iii−i−i−i−iii−i−iii-1-111-11
χ1111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-111-1111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-111-1111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-111-11
χ1211-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-111-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-1
χ1311-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-11
χ1411-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iii−i−iiiii−i−i-1-1111-111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iii−i−iiiii−i−i-1-1111-111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iii−i−iiiii−i−i-1-1111-1
χ1511-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−iii−i−i−i−iii-1-1111-111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−iii−i−i−i−iii-1-1111-111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−iii−i−i−i−iii-1-1111-1
χ1611-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-11
χ172222222-2-2-2-22222-22-222-2-2-2-22-22-2000000000000000000000000002222222-2-2-2-22222-22-222-2-2-2-22-22-2000000000000000000000000002222222-2-2-2-22222-22-222-2-2-2-22-22-200000000000000000000000000
χ182222222-2-2-2-2222-22-2222-2-2-2-2-22-22000000000000000000000000002222222-2-2-2-2222-22-2222-2-2-2-2-22-22000000000000000000000000002222222-2-2-2-2222-22-2222-2-2-2-2-22-2200000000000000000000000000
χ19222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ20222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ21222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-1111100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-1111100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-1111100000000000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-11111-2-2221111-1-1-1-100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-11111-2-2221111-1-1-1-100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-11111-2-2221111-1-1-1-100000000000000
χ23222222-1-2-2-2-2-1-1-12-22-2-1-11111-11-1100003−33−33−33−300000000000000222222-1-2-2-2-2-1-1-12-22-2-1-11111-11-1100003−33−33−33−300000000000000222222-1-2-2-2-2-1-1-12-22-2-1-11111-11-1100003−33−33−33−300000000000000
χ24222222-1-2-2-2-2-1-1-12-22-2-1-11111-11-110000−33−33−33−3300000000000000222222-1-2-2-2-2-1-1-12-22-2-1-11111-11-110000−33−33−33−3300000000000000222222-1-2-2-2-2-1-1-12-22-2-1-11111-11-110000−33−33−33−3300000000000000
χ25222222-1-2-2-2-2-1-1-1-22-22-1-111111-11-100003−33−3−33−3300000000000000222222-1-2-2-2-2-1-1-1-22-22-1-111111-11-100003−33−3−33−3300000000000000222222-1-2-2-2-2-1-1-1-22-22-1-111111-11-100003−33−3−33−3300000000000000
χ26222222-1-2-2-2-2-1-1-1-22-22-1-111111-11-10000−33−333−33−300000000000000222222-1-2-2-2-2-1-1-1-22-22-1-111111-11-10000−33−333−33−300000000000000222222-1-2-2-2-2-1-1-1-22-22-1-111111-11-10000−33−333−33−300000000000000
χ272222-2-222-22-22220000-2-22-22-2000000000000000000002-22-20000002222-2-222-22-22220000-2-22-22-2000000000000000000002-22-20000002222-2-222-22-22220000-2-22-22-2000000000000000000002-22-2000000
χ282222-2-222-22-22220000-2-22-22-200000000000000000000-22-220000002222-2-222-22-22220000-2-22-22-200000000000000000000-22-220000002222-2-222-22-22220000-2-22-22-200000000000000000000-22-22000000
χ292222-2-22-22-222220000-2-2-22-2200000000000000002-22-200000000002222-2-22-22-222220000-2-2-22-2200000000000000002-22-200000000002222-2-22-22-222220000-2-2-22-2200000000000000002-22-20000000000
χ302222-2-22-22-222220000-2-2-22-220000000000000000-22-2200000000002222-2-22-22-222220000-2-2-22-220000000000000000-22-2200000000002222-2-22-22-222220000-2-2-22-220000000000000000-22-220000000000
χ3122-2-22-222-2-22-2-220000-222-2-22000000000000000000002i−2i−2i2i00000022-2-22-222-2-22-2-220000-222-2-22000000000000000000002i−2i−2i2i00000022-2-22-222-2-22-2-220000-222-2-22000000000000000000002i−2i−2i2i000000
χ3222-2-22-222-2-22-2-220000-222-2-2200000000000000000000−2i2i2i−2i00000022-2-22-222-2-22-2-220000-222-2-2200000000000000000000−2i2i2i−2i00000022-2-22-222-2-22-2-220000-222-2-2200000000000000000000−2i2i2i−2i000000
χ3322-2-22-22-222-2-2-220000-22-222-200000000000000002i−2i−2i2i000000000022-2-22-22-222-2-2-220000-22-222-200000000000000002i−2i−2i2i000000000022-2-22-22-222-2-2-220000-22-222-200000000000000002i−2i−2i2i0000000000
χ3422-2-22-22-222-2-2-220000-22-222-20000000000000000−2i2i2i−2i000000000022-2-22-22-222-2-2-220000-22-222-20000000000000000−2i2i2i−2i000000000022-2-22-22-222-2-2-220000-22-222-20000000000000000−2i2i2i−2i0000000000
χ3522-2-2-222-2-222-2-222-2-222-2-2-2222-2-220000000000000000000000000022-2-2-222-2-222-2-222-2-222-2-2-2222-2-220000000000000000000000000022-2-2-222-2-222-2-222-2-222-2-2-2222-2-2200000000000000000000000000
χ3622-2-2-222-2-222-2-22-222-22-2-2-222-222-20000000000000000000000000022-2-2-222-2-222-2-22-222-22-2-2-222-222-20000000000000000000000000022-2-2-222-2-222-2-22-222-22-2-2-222-222-200000000000000000000000000
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χ4122-2-2-22-1-2-22211-12-2-22-1111-1-1-111-10000−i3i3i3−i3−i3i3i3−i30000000000000022-2-2-22-1-2-22211-12-2-22-1111-1-1-111-10000−i3i3i3−i3−i3i3i3−i30000000000000022-2-2-22-1-2-22211-12-2-22-1111-1-1-111-10000−i3i3i3−i3−i3i3i3−i300000000000000
χ4222-2-2-22-1-2-22211-12-2-22-1111-1-1-111-10000i3−i3−i3i3i3−i3−i3i30000000000000022-2-2-22-1-2-22211-12-2-22-1111-1-1-111-10000i3−i3−i3i3i3−i3−i3i30000000000000022-2-2-22-1-2-22211-12-2-22-1111-1-1-111-10000i3−i3−i3i3i3−i3−i3i300000000000000
χ4322-2-2-22-1-2-22211-1-222-2-1111-1-11-1-110000−i3i3i3−i3i3−i3−i3i30000000000000022-2-2-22-1-2-22211-1-222-2-1111-1-11-1-110000−i3i3i3−i3i3−i3−i3i30000000000000022-2-2-22-1-2-22211-1-222-2-1111-1-11-1-110000−i3i3i3−i3i3−i3−i3i300000000000000
χ4422-2-2-22-1-2-22211-1-222-2-1111-1-11-1-110000i3−i3−i3i3−i3i3i3−i30000000000000022-2-2-22-1-2-22211-1-222-2-1111-1-11-1-110000i3−i3−i3i3−i3i3i3−i30000000000000022-2-2-22-1-2-22211-1-222-2-1111-1-11-1-110000i3−i3−i3i3−i3i3i3−i300000000000000
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χ464444-4-4-2-44-44-2-2-20000222-22-20000000000000000000000000000004444-4-4-2-44-44-2-2-20000222-22-20000000000000000000000000000004444-4-4-2-44-44-2-2-20000222-22-2000000000000000000000000000000
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χ4844-4-44-4-2-444-422-200002-22-2-2200000000000000000000000000000044-4-44-4-2-444-422-200002-22-2-2200000000000000000000000000000044-4-44-4-2-444-422-200002-22-2-22000000000000000000000000000000
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χ571111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
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χ11911-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-111-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i321−i32−1+i32
χ12011-1-1-11111-1-1-1-1111-1-11-111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32
χ12111-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32
χ12211-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111i−i−iiii−i−i−i−iii−i−iiiii−i−i-1-1111-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−1+i321−i32
χ12311-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−iii−i−i−i−iii-1-1111-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1+i321−i32
χ12411-1-1-11111-1-1-1-11-1-1111-111-1-1-1-111−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32
χ1252222222-2-2-2-22222-22-222-2-2-2-22-22-200000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i300000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i300000000000000000000000000
χ1262222222-2-2-2-2222-22-2222-2-2-2-2-22-2200000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i31+i3−1−i300000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i31−i3−1+i300000000000000000000000000
χ127222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000
χ128222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ129222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-1111100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ130222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-11111-2-2221111-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000
χ131222222-1-2-2-2-2-1-1-12-22-2-1-11111-11-1100003−33−33−33−300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000
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χ133222222-1-2-2-2-2-1-1-1-22-22-1-111111-11-100003−33−3−33−3300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000
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χ1352222-2-222-22-22220000-2-22-22-2000000000000000000002-22-2000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i300001+i31+i3−1−i31+i3−1−i31+i300000000000000000000−1−i31+i3−1−i31+i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i300001−i31−i3−1+i31−i3−1+i31−i300000000000000000000−1+i31−i3−1+i31−i3000000
χ1362222-2-222-22-22220000-2-22-22-200000000000000000000-22-22000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i300001+i31+i3−1−i31+i3−1−i31+i3000000000000000000001+i3−1−i31+i3−1−i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i300001−i31−i3−1+i31−i3−1+i31−i3000000000000000000001−i3−1+i31−i3−1+i3000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.