Finite Group Databasebeta

← Group #11772600

Character table — Group #11772600

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444444444444444444888888888824242424242424241111222222222244444444444444444444448888888888242424242424242411112222222222444444444444444444444488888888882424242424242424
order12222236666666222244444412121212121212121212121244666612121212444444443666663666666666661212121212121212121212121212121212121212666612121212121212121212121236666636666666666612121212121212121212121212121212121212126666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii
χ811111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i
χ91-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-11-1i−ii−i1-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-11-1i−ii−i1-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-11-1i−ii−i
χ101-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i-11-11−ii−ii1-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i-11-11−ii−ii1-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i-11-11−ii−ii
χ111-11-11-1111-11-1-1-11-11-11-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-11-1−ii−ii1-11-11-1111-11-1-1-11-11-11-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-11-1−ii−ii1-11-11-1111-11-1-1-11-11-11-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-11-1−ii−ii
χ121-11-11-1111-11-1-1-11-11-11-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii-11-11i−ii−i1-11-11-1111-11-1-1-11-11-11-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii-11-11i−ii−i1-11-11-1111-11-1-1-11-11-11-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii-11-11i−ii−i
χ131-11-11-1111-11-1-1-1-11-111-1ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iiii−i−ii-111-11-11-11-1111-11-1-1-1-11-111-1ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iiii−i−ii-111-11-11-11-1111-11-1-1-1-11-111-1ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iiii−i−ii-111-1
χ141-11-11-1111-11-1-1-1-11-111-1ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii−iii−i1-1-111-11-11-1111-11-1-1-1-11-111-1ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii−iii−i1-1-111-11-11-1111-11-1-1-1-11-111-1ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii−iii−i1-1-11
χ151-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−ii−i−ii1-1-111-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−ii−i−ii1-1-111-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−ii−i−ii1-1-11
χ161-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i−iii−i-111-11-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i−iii−i-111-11-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i−iii−i-111-1
χ17222222222222222-2-22-2-20000-2-2-2-200000000002-22-2000000000000222222222222222-2-22-2-20000-2-2-2-200000000002-22-2000000000000222222222222222-2-22-2-20000-2-2-2-200000000002-22-2000000000000
χ1822222222222222-222-2-2-20000-2-2-2-20000000000-22-2200000000000022222222222222-222-2-2-20000-2-2-2-20000000000-22-2200000000000022222222222222-222-2-2-20000-2-2-2-20000000000-22-22000000000000
χ19222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000
χ20222222-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1111100000000222222-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1111100000000222222-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1111100000000
χ21222222-1-1-1-1-1-1-1-12-2-22-2-200001111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i300000000222222-1-1-1-1-1-1-1-12-2-22-2-200001111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i300000000222222-1-1-1-1-1-1-1-12-2-22-2-200001111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i300000000
χ22222222-1-1-1-1-1-1-1-12-2-22-2-200001111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i300000000222222-1-1-1-1-1-1-1-12-2-22-2-200001111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i300000000222222-1-1-1-1-1-1-1-12-2-22-2-200001111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i300000000
χ23222222-1-1-1-1-1-1-1-1-222-2-2-200001111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i300000000222222-1-1-1-1-1-1-1-1-222-2-2-200001111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i300000000222222-1-1-1-1-1-1-1-1-222-2-2-200001111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i300000000
χ24222222-1-1-1-1-1-1-1-1-222-2-2-200001111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i300000000222222-1-1-1-1-1-1-1-1-222-2-2-200001111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i300000000222222-1-1-1-1-1-1-1-1-222-2-2-200001111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i300000000
χ25222222-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111111100000000222222-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111111100000000222222-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111111100000000
χ26222222-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111221111-1-1-1-100000000222222-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111221111-1-1-1-100000000222222-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111221111-1-1-1-100000000
χ272-22-22-2222-22-2-2-222-2-2-220000-2-22200000000002-2-220000000000002-22-22-2222-22-2-2-222-2-2-220000-2-22200000000002-2-220000000000002-22-22-2222-22-2-2-222-2-2-220000-2-22200000000002-2-22000000000000
χ282-22-22-2222-22-2-2-2-2-222-220000-2-2220000000000-222-20000000000002-22-22-2222-22-2-2-2-2-222-220000-2-2220000000000-222-20000000000002-22-22-2222-22-2-2-2-2-222-220000-2-2220000000000-222-2000000000000
χ292-22-22-2-1-1-11-111122-2-2-22000011-1-133−3−3−3−33300-111-13−3−33000000002-22-22-2-1-1-11-111122-2-2-22000011-1-133−3−3−3−33300-111-13−3−33000000002-22-22-2-1-1-11-111122-2-2-22000011-1-133−3−3−3−33300-111-13−3−3300000000
χ302-22-22-2-1-1-11-111122-2-2-22000011-1-1−3−33333−3−300-111-1−333−3000000002-22-22-2-1-1-11-111122-2-2-22000011-1-1−3−33333−3−300-111-1−333−3000000002-22-22-2-1-1-11-111122-2-2-22000011-1-1−3−33333−3−300-111-1−333−300000000
χ312-22-22-2-1-1-11-11112-22-22-22i2i−2i−2i-1-111−i−i−i−iiiii2i−2i-1-111−i−iii000000002-22-22-2-1-1-11-11112-22-22-22i2i−2i−2i-1-111−i−i−i−iiiii2i−2i-1-111−i−iii000000002-22-22-2-1-1-11-11112-22-22-22i2i−2i−2i-1-111−i−i−i−iiiii2i−2i-1-111−i−iii00000000
χ322-22-22-2-1-1-11-11112-22-22-2−2i−2i2i2i-1-111iiii−i−i−i−i−2i2i-1-111ii−i−i000000002-22-22-2-1-1-11-11112-22-22-2−2i−2i2i2i-1-111iiii−i−i−i−i−2i2i-1-111ii−i−i000000002-22-22-2-1-1-11-11112-22-22-2−2i−2i2i2i-1-111iiii−i−i−i−i−2i2i-1-111ii−i−i00000000
χ332-22-22-2-1-1-11-1111-22-222-22i2i−2i−2i-1-111−i−i−i−iiiii−2i2i11-1-1ii−i−i000000002-22-22-2-1-1-11-1111-22-222-22i2i−2i−2i-1-111−i−i−i−iiiii−2i2i11-1-1ii−i−i000000002-22-22-2-1-1-11-1111-22-222-22i2i−2i−2i-1-111−i−i−i−iiiii−2i2i11-1-1ii−i−i00000000
χ342-22-22-2-1-1-11-1111-22-222-2−2i−2i2i2i-1-111iiii−i−i−i−i2i−2i11-1-1−i−iii000000002-22-22-2-1-1-11-1111-22-222-2−2i−2i2i2i-1-111iiii−i−i−i−i2i−2i11-1-1−i−iii000000002-22-22-2-1-1-11-1111-22-222-2−2i−2i2i2i-1-111iiii−i−i−i−i2i−2i11-1-1−i−iii00000000
χ352-22-22-2-1-1-11-1111-2-222-22000011-1-133−3−3−3−333001-1-11−333−3000000002-22-22-2-1-1-11-1111-2-222-22000011-1-133−3−3−3−333001-1-11−333−3000000002-22-22-2-1-1-11-1111-2-222-22000011-1-133−3−3−3−333001-1-11−333−300000000
χ362-22-22-2-1-1-11-1111-2-222-22000011-1-1−3−33333−3−3001-1-113−3−33000000002-22-22-2-1-1-11-1111-2-222-22000011-1-1−3−33333−3−3001-1-113−3−33000000002-22-22-2-1-1-11-1111-2-222-22000011-1-1−3−33333−3−3001-1-113−3−3300000000
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χ384444-4-4-222-2-222-20000000000−2i32i3−2i32i3000000000000000000000000004444-4-4-222-2-222-20000000000−2i32i3−2i32i3000000000000000000000000004444-4-4-222-2-222-20000000000−2i32i3−2i32i300000000000000000000000000
χ394444-4-4-222-2-222-200000000002i3−2i32i3−2i3000000000000000000000000004444-4-4-222-2-222-200000000002i3−2i32i3−2i3000000000000000000000000004444-4-4-222-2-222-200000000002i3−2i32i3−2i300000000000000000000000000
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χ4544-4-400-22i3−2i3-222i3−2i32000000−2i2i−2i2i0000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ700000000000000000044-4-400-22i3−2i3-222i3−2i32000000−2i2i−2i2i0000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ700000000000000000044-4-400-22i3−2i3-222i3−2i32000000−2i2i−2i2i0000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7000000000000000000
χ464-44-4-444-4-4-4444-400000000000000000000000000000000000000004-44-4-444-4-4-4444-400000000000000000000000000000000000000004-44-4-444-4-4-4444-40000000000000000000000000000000000000000
χ474-44-4-44-2222-2-2-220000000000−2i32i32i3−2i3000000000000000000000000004-44-4-44-2222-2-2-220000000000−2i32i32i3−2i3000000000000000000000000004-44-4-44-2222-2-2-220000000000−2i32i32i3−2i300000000000000000000000000
χ484-44-4-44-2222-2-2-2200000000002i3−2i3−2i32i3000000000000000000000000004-44-4-44-2222-2-2-2200000000002i3−2i3−2i32i3000000000000000000000000004-44-4-44-2222-2-2-2200000000002i3−2i3−2i32i300000000000000000000000000
χ494-4-4400400-4-40040000002-2-2200002-22-2-22-220000000000000000004-4-4400400-4-40040000002-2-2200002-22-2-22-220000000000000000004-4-4400400-4-40040000002-2-2200002-22-2-22-22000000000000000000
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χ11311111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i−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+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+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+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−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−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ11411111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−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+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+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+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−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−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ11511111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ11611111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ1171-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-11-1i−ii−i−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ1181-11-11-1111-11-1-1-11-11-11-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i-11-11−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
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χ1221-11-11-1111-11-1-1-1-11-111-1ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii−iii−i1-1-11−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32
χ1231-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−ii−i−ii1-1-11−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32
χ1241-11-11-1111-11-1-1-1-11-111-1−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i−iii−i-111-1−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32
χ125222222222222222-2-22-2-20000-2-2-2-200000000002-22-2000000000000−1−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−i31+i31+i3−1−i31+i31+i300001+i31+i31+i31+i30000000000−1−i31+i3−1−i31+i3000000000000−1+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+i31−i31−i3−1+i31−i31−i300001−i31−i31−i31−i30000000000−1+i31−i3−1+i31−i3000000000000
χ12622222222222222-222-2-2-20000-2-2-2-20000000000-22-22000000000000−1−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−i31+i3−1−i3−1−i31+i31+i31+i300001+i31+i31+i31+i300000000001+i3−1−i31+i3−1−i3000000000000−1+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+i31−i3−1+i3−1+i31−i31−i31−i300001−i31−i31−i31−i300000000001−i3−1+i31−i3−1+i3000000000000
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χ128222222-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.