Finite Group Databasebeta

← Group #11920920

Character table — Group #11920920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222333333336666888888888888888812121212121212121212121212121212111111112222333333336666888888888888888812121212121212121212121212121212111111112222333333336666888888888888888812121212121212121212121212121212
order122222224444222222224444366666661212121212121212444444444444444436666666121212126666666612121212366666661212121212121212121212121212121212121212121212123666666612121212666666661212121236666666121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ6111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ7111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ8111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ911-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i11-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i11-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ1011-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii11-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii11-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ1111-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii11-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii11-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ1211-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i11-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i11-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ1311-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-111-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-111-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-1
χ1411-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-1111-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-1111-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-11
χ1511-1-11-1-11−iii−i11-1-1-11-11−iii−i11-1-1-111-1−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-1111-1-11-1-11−iii−i11-1-1-11-11−iii−i11-1-1-111-1−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-1111-1-11-1-11−iii−i11-1-1-11-11−iii−i11-1-1-111-1−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-11
χ1611-1-11-1-11−iii−i11-1-1-11-11−iii−i11-1-1-111-1−i−iiiii−i−i−iii−i-111-1−iii−i-111-111-1-11-1-11−iii−i11-1-1-11-11−iii−i11-1-1-111-1−i−iiiii−i−i−iii−i-111-1−iii−i-111-111-1-11-1-11−iii−i11-1-1-11-11−iii−i11-1-1-111-1−i−iiiii−i−i−iii−i-111-1−iii−i-111-1
χ17222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000022222222-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000022222222-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ19222-2-22-2-222-2-22222-2-2-2-222-2-2-1-1-11111-1-1-1-1-111110000000000000000222-2-22-2-222-2-22222-2-2-2-222-2-2-1-1-11111-1-1-1-1-111110000000000000000222-2-22-2-222-2-22222-2-2-2-222-2-2-1-1-11111-1-1-1-1-111110000000000000000
χ20222-2-22-2-2-2-2222222-2-2-2-2-2-222-1-1-11111-11111-1-1-1-10000000000000000222-2-22-2-2-2-2222222-2-2-2-2-2-222-1-1-11111-11111-1-1-1-10000000000000000222-2-22-2-2-2-2222222-2-2-2-2-2-222-1-1-11111-11111-1-1-1-10000000000000000
χ2122-22-2-22-22i−2i2i−2i22-2-22-22-22i−2i2i−2i-1-11-1-1111−i−iii−i−iii000000000000000022-22-2-22-22i−2i2i−2i22-2-22-22-22i−2i2i−2i-1-11-1-1111−i−iii−i−iii000000000000000022-22-2-22-22i−2i2i−2i22-2-22-22-22i−2i2i−2i-1-11-1-1111−i−iii−i−iii0000000000000000
χ2222-22-2-22-2−2i2i−2i2i22-2-22-22-2−2i2i−2i2i-1-11-1-1111ii−i−iii−i−i000000000000000022-22-2-22-2−2i2i−2i2i22-2-22-22-2−2i2i−2i2i-1-11-1-1111ii−i−iii−i−i000000000000000022-22-2-22-2−2i2i−2i2i22-2-22-22-2−2i2i−2i2i-1-11-1-1111ii−i−iii−i−i0000000000000000
χ2322-2-22-2-222i−2i−2i2i22-2-2-22-222i−2i−2i2i-1-1111-1-11−i−iiiii−i−i000000000000000022-2-22-2-222i−2i−2i2i22-2-2-22-222i−2i−2i2i-1-1111-1-11−i−iiiii−i−i000000000000000022-2-22-2-222i−2i−2i2i22-2-2-22-222i−2i−2i2i-1-1111-1-11−i−iiiii−i−i0000000000000000
χ2422-2-22-2-22−2i2i2i−2i22-2-2-22-22−2i2i2i−2i-1-1111-1-11ii−i−i−i−iii000000000000000022-2-22-2-22−2i2i2i−2i22-2-2-22-22−2i2i2i−2i-1-1111-1-11ii−i−i−i−iii000000000000000022-2-22-2-22−2i2i2i−2i22-2-2-22-22−2i2i2i−2i-1-1111-1-11ii−i−i−i−iii0000000000000000
χ252-2222-2-2-200002-22-222-2-200002-222-22-2-20000000000000000000000002-2222-2-2-200002-22-222-2-200002-222-22-2-20000000000000000000000002-2222-2-2-200002-22-222-2-200002-222-22-2-2000000000000000000000000
χ262-2222-2-2-200002-22-222-2-20000-11-1-11-1113−33−33−33−300000000000000002-2222-2-2-200002-22-222-2-20000-11-1-11-1113−33−33−33−300000000000000002-2222-2-2-200002-22-222-2-20000-11-1-11-1113−33−33−33−30000000000000000
χ272-2222-2-2-200002-22-222-2-20000-11-1-11-111−33−33−33−3300000000000000002-2222-2-2-200002-22-222-2-20000-11-1-11-111−33−33−33−3300000000000000002-2222-2-2-200002-22-222-2-20000-11-1-11-111−33−33−33−330000000000000000
χ282-22-2-2-22200002-22-2-2-22200002-22-22-22-20000000000000000000000002-22-2-2-22200002-22-2-2-22200002-22-22-22-20000000000000000000000002-22-2-2-22200002-22-2-2-22200002-22-22-22-2000000000000000000000000
χ292-22-2-2-22200002-22-2-2-2220000-11-11-11-113−33−3−33−3300000000000000002-22-2-2-22200002-22-2-2-2220000-11-11-11-113−33−3−33−3300000000000000002-22-2-2-22200002-22-2-2-2220000-11-11-11-113−33−3−33−330000000000000000
χ302-22-2-2-22200002-22-2-2-2220000-11-11-11-11−33−333−33−300000000000000002-22-2-2-22200002-22-2-2-2220000-11-11-11-11−33−333−33−300000000000000002-22-2-2-22200002-22-2-2-2220000-11-11-11-11−33−333−33−30000000000000000
χ312-2-22-22-2200002-2-222-2-2200002-2-22-2-2220000000000000000000000002-2-22-22-2200002-2-222-2-2200002-2-22-2-2220000000000000000000000002-2-22-22-2200002-2-222-2-2200002-2-22-2-222000000000000000000000000
χ322-2-22-22-2200002-2-222-2-220000-111-111-1-1−i3i3i3−i3−i3i3i3−i300000000000000002-2-22-22-2200002-2-222-2-220000-111-111-1-1−i3i3i3−i3−i3i3i3−i300000000000000002-2-22-22-2200002-2-222-2-220000-111-111-1-1−i3i3i3−i3−i3i3i3−i30000000000000000
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χ352-2-2-2222-200002-2-22-222-20000-1111-1-11-1−i3i3i3−i3i3−i3−i3i300000000000000002-2-2-2222-200002-2-22-222-20000-1111-1-11-1−i3i3i3−i3i3−i3−i3i300000000000000002-2-2-2222-200002-2-22-222-20000-1111-1-11-1−i3i3i3−i3i3−i3−i3i30000000000000000
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χ37333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1
χ38333333333333-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111333333333333-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111333333333333-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111
χ3933333333-3-3-3-3-1-1-1-1-1-1-1-1111100000000000000001111-1-1-1-1-1-1-1-1111133333333-3-3-3-3-1-1-1-1-1-1-1-1111100000000000000001111-1-1-1-1-1-1-1-1111133333333-3-3-3-3-1-1-1-1-1-1-1-1111100000000000000001111-1-1-1-1-1-1-1-11111
χ4033333333-3-3-3-3-1-1-1-1-1-1-1-111110000000000000000-1-1-1-111111111-1-1-1-133333333-3-3-3-3-1-1-1-1-1-1-1-111110000000000000000-1-1-1-111111111-1-1-1-133333333-3-3-3-3-1-1-1-1-1-1-1-111110000000000000000-1-1-1-111111111-1-1-1-1
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χ5911111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ63111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
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χ11511111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ11611111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1−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−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+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+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ117111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ118111-1-11-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ119111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ120111-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ12111-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ12211-11-1-11-1i−ii−i11-1-11-11-1i−ii−i11-111-1-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ12311-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ12411-11-1-11-1−ii−ii11-1-11-11-1−ii−ii11-111-1-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ12511-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32
χ12611-1-11-1-11i−i−ii11-1-1-11-11i−i−ii11-1-1-111-1ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32
χ12711-1-11-1-11−iii−i11-1-1-11-11−iii−i11-1-1-111-1−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32
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χ15733-33-3-33-33i−3i3i−3i-1-111-11-11−ii−ii00000000000000001-11-1i−ii−i-11-11−ii−ii−3−3i32−3−3i323+3i32−3−3i323+3i323+3i32−3−3i323+3i323ζ11−3ζ113ζ11−3ζ111+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000000000−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−3+3i32−3+3i323−3i32−3+3i323−3i323−3i32−3+3i323−3i323ζ7−3ζ73ζ7−3ζ71−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000000000−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
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χ1656-6666-6-6-60000-22-22-2-222000000000000000000000000000000000000−3−3i33+3i3−3−3i3−3−3i3−3−3i33+3i33+3i33+3i300001+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000000000000000000000000000−3+3i33−3i3−3+3i3−3+3i3−3+3i33−3i33−3i33−3i300001−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000000000000000000000000000
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χ1676-6-66-66-660000-222-2-222-2000000000000000000000000000000000000−3−3i33+3i33+3i3−3−3i33+3i3−3−3i33+3i3−3−3i300001+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3000000000000000000000000000000000000−3+3i33−3i33−3i3−3+3i33−3i3−3+3i33−3i3−3+3i300001−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3000000000000000000000000000000000000
χ1686-6-6-6666-60000-222-22-2-22000000000000000000000000000000000000−3−3i33+3i33+3i33+3i3−3−3i3−3−3i3−3−3i33+3i300001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3000000000000000000000000000000000000−3+3i33−3i33−3i33−3i3−3+3i3−3+3i3−3+3i33−3i300001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3000000000000000000000000000000000000

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