Finite Group Databasebeta

← Group #11864254

Character table — Group #11864254

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444444888888888888888812121212121212121212121224241111222222222244444444448888888888888888121212121212121212121212242411112222222222444444444488888888888888881212121212121212121212122424
order12222234444666224466121212122266666688121224242424222222448888443666663121212126666612126612121212666666662424121224242424666666121224242424121236666631212121266666121266121212126666666624241212242424246666661212242424241212
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
χ3111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1
χ91111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-111-1-11-11-111-1-11-11111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-111-1-11-11-111-1-11-11111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-111-1-11-11-111-1-11-1
χ101111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-1-1-111-11-11-1-111-111111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-1-1-111-11-11-1-111-111111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-1-1-111-11-11-1-111-11
χ111111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-11111-1-11-11-1-1-111-111111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-11111-1-11-11-1-1-111-111111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-11111-1-11-11-1-1-111-11
χ121111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-111-1-111-11-1111-1-11-11111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-111-1-111-11-1111-1-11-11111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-111-1-111-11-1111-1-11-1
χ131111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-11111-1-1-11-1111-1-1-111111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-11111-1-1-11-1111-1-1-111111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-11111-1-1-11-1111-1-1-11
χ141111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-111-1-1111-11-1-1-1111-11111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-111-1-1111-11-1-1-1111-11111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-111-1-1111-11-1-1-1111-1
χ151111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-111-1-1-11-11-1-1111-11111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-111-1-1-11-11-1-1111-11111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-111-1-1-11-11-1-1111-1
χ161111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-1-1-1111-11-111-1-1-111111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-1-1-1111-11-111-1-1-111111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-1-1-1111-11-111-1-1-11
χ172222222-2-2-2-2222000022-2-2-2-2000000000000000000002-2-220000002222222-2-2-2-2222000022-2-2-2-2000000000000000000002-2-220000002222222-2-2-2-2222000022-2-2-2-2000000000000000000002-2-22000000
χ182222222-2-2-2-2222000022-2-2-2-200000000000000000000-222-20000002222222-2-2-2-2222000022-2-2-2-200000000000000000000-222-20000002222222-2-2-2-2222000022-2-2-2-200000000000000000000-222-2000000
χ19222222-12222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000222222-12222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000222222-12222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ20222222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111100000000000000222222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111100000000000000222222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111100000000000000
χ21222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-1-1-1-1-2-211111100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-1-1-1-1-2-211111100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-1-1-1-1-2-211111100000000000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-21111112211-1-1-1-100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-21111112211-1-1-1-100000000000000222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-21111112211-1-1-1-100000000000000
χ232222-2-2222-2-22220000-2-2-222-20000000000000000000022-2-20000002222-2-2222-2-22220000-2-2-222-20000000000000000000022-2-20000002222-2-2222-2-22220000-2-2-222-20000000000000000000022-2-2000000
χ242222-2-2222-2-22220000-2-2-222-200000000000000000000-2-2220000002222-2-2222-2-22220000-2-2-222-200000000000000000000-2-2220000002222-2-2222-2-22220000-2-2-222-200000000000000000000-2-222000000
χ252222-2-2-1-2-222-1-1-122-2-211-111-12-2-1-1-1-1112-211-1-111000000000000002222-2-2-1-2-222-1-1-122-2-211-111-12-2-1-1-1-1112-211-1-111000000000000002222-2-2-1-2-222-1-1-122-2-211-111-12-2-1-1-1-1112-211-1-11100000000000000
χ262222-2-2-1-2-222-1-1-122-2-211-111-1-22-1-111-1-1-221111-1-1000000000000002222-2-2-1-2-222-1-1-122-2-211-111-1-22-1-111-1-1-221111-1-1000000000000002222-2-2-1-2-222-1-1-122-2-211-111-1-22-1-111-1-1-221111-1-100000000000000
χ272222-2-2-1-2-222-1-1-1-2-22211-111-12-211-1-111-22-1-111-1-1000000000000002222-2-2-1-2-222-1-1-1-2-22211-111-12-211-1-111-22-1-111-1-1000000000000002222-2-2-1-2-222-1-1-1-2-22211-111-12-211-1-111-22-1-111-1-100000000000000
χ282222-2-2-1-2-222-1-1-1-2-22211-111-1-221111-1-12-2-1-1-1-111000000000000002222-2-2-1-2-222-1-1-1-2-22211-111-1-221111-1-12-2-1-1-1-111000000000000002222-2-2-1-2-222-1-1-1-2-22211-111-1-221111-1-12-2-1-1-1-11100000000000000
χ292-2-222-222-22-2-2-222-22-22-2-22-22002-20000002-20000000000000000002-2-222-222-22-2-2-222-22-22-2-22-22002-20000002-20000000000000000002-2-222-222-22-2-2-222-22-22-2-22-22002-20000002-2000000000000000000
χ302-2-222-222-22-2-2-22-22-222-2-22-2200-22000000-220000000000000000002-2-222-222-22-2-2-22-22-222-2-22-2200-22000000-220000000000000000002-2-222-222-22-2-2-22-22-222-2-22-2200-22000000-22000000000000000000
χ312-2-222-22-22-22-2-2200002-22-22-200000000000000002-22-200000000002-2-222-22-22-22-2-2200002-22-22-200000000000000002-22-200000000002-2-222-22-22-22-2-2200002-22-22-200000000000000002-22-20000000000
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χ332-2-222-2-12-22-211-12-22-2-111-11-100-11−i3i3−i3i300-11−i3i3−i3i3000000000000002-2-222-2-12-22-211-12-22-2-111-11-100-11−i3i3−i3i300-11−i3i3−i3i3000000000000002-2-222-2-12-22-211-12-22-2-111-11-100-11−i3i3−i3i300-11−i3i3−i3i300000000000000
χ342-2-222-2-12-22-211-12-22-2-111-11-100-11i3−i3i3−i300-11i3−i3i3−i3000000000000002-2-222-2-12-22-211-12-22-2-111-11-100-11i3−i3i3−i300-11i3−i3i3−i3000000000000002-2-222-2-12-22-211-12-22-2-111-11-100-11i3−i3i3−i300-11i3−i3i3−i300000000000000
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χ362-2-222-2-12-22-211-1-22-22-111-11-1001-1i3−i3i3−i3001-1−i3i3−i3i3000000000000002-2-222-2-12-22-211-1-22-22-111-11-1001-1i3−i3i3−i3001-1−i3i3−i3i3000000000000002-2-222-2-12-22-211-1-22-22-111-11-1001-1i3−i3i3−i3001-1−i3i3−i3i300000000000000
χ372-2-22-2222-2-22-2-220000-2222-2-200000000000000002-2-2200000000002-2-22-2222-2-22-2-220000-2222-2-200000000000000002-2-2200000000002-2-22-2222-2-22-2-220000-2222-2-200000000000000002-2-220000000000
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χ432-2-22-22-1-222-211-1-222-21-111-1-1001-1−i3i3i3−i300-11i3−i3−i3i3000000000000002-2-22-22-1-222-211-1-222-21-111-1-1001-1−i3i3i3−i300-11i3−i3−i3i3000000000000002-2-22-22-1-222-211-1-222-21-111-1-1001-1−i3i3i3−i300-11i3−i3−i3i300000000000000
χ442-2-22-22-1-222-211-1-222-21-111-1-1001-1i3−i3−i3i300-11−i3i3i3−i3000000000000002-2-22-22-1-222-211-1-222-21-111-1-1001-1i3−i3−i3i300-11−i3i3i3−i3000000000000002-2-22-22-1-222-211-1-222-21-111-1-1001-1i3−i3−i3i300-11−i3i3i3−i300000000000000
χ45444444-2-4-4-4-4-2-2-20000-2-22222000000000000000000000000000000444444-2-4-4-4-4-2-2-20000-2-22222000000000000000000000000000000444444-2-4-4-4-4-2-2-20000-2-22222000000000000000000000000000000
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χ561111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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+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−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−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+i321+i321+i32
χ57111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i32
χ58111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+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
χ5911111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32
χ6011111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−1+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+i321−i321−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−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+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
χ6111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+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
χ6211111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i32
χ631111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-111-1-11-11-111-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ641111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-1-1-111-11-11-1-111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ651111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-11111-1-11-11-1-1-111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ661111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-111-1-111-11-1111-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ671111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-11111-1-1-11-1111-1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ681111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-111-1-1111-11-1-1-1111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
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χ701111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-1-1-1111-11-111-1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
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χ1171111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-111-1-11-11-111-1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ1181111-1-11-1-11111111-1-1-1-11-1-111-11111-1-11-1-1-111-1-1-1-111-11-11-1-111-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ1191111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-11111-1-11-11-1-1-111-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ1201111-1-11-1-11111111-1-1-1-11-1-11-1111-1-111-11-1-1-1-111-1-111-11-1111-1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ1211111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-11111-1-1-11-1111-1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ1221111-1-11-1-111111-1-111-1-11-1-111-1-1-111-1-1-1111-1-111-1-1111-11-1-1-1111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ1231111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-111-1-1-11-11-1-1111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ1241111-1-11-1-111111-1-111-1-11-1-11-11-1-1-1-1111-11111-1-1-1-1111-11-111-1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ1252222222-2-2-2-2222000022-2-2-2-2000000000000000000002-2-22000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i30000−1−i3−1−i31+i31+i31+i31+i300000000000000000000−1−i31+i31+i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i30000−1+i3−1+i31−i31−i31−i31−i300000000000000000000−1+i31−i31−i3−1+i3000000
χ1262222222-2-2-2-2222000022-2-2-2-200000000000000000000-222-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i30000−1−i3−1−i31+i31+i31+i31+i3000000000000000000001+i3−1−i3−1−i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i30000−1+i3−1+i31−i31−i31−i31−i3000000000000000000001−i3−1+i3−1+i31−i3000000
χ127222222-12222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000−1−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+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+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−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000000000
χ128222222-12222-1-1-12222-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+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−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ129222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-12211-1-1-1-1-2-211111100000000000000−1−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−i3−1−i3−1−i32−1−i321+i321+i321+i321+i321+i31+i3−1−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−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ130222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-21111112211-1-1-1-100000000000000−1−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+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−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−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i3200000000000000
χ1312222-2-2222-2-22220000-2-2-222-20000000000000000000022-2-2000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i3−1−i3−1−i31+i300000000000000000000−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i3−1+i3−1+i31−i300000000000000000000−1+i3−1+i31−i31−i3000000
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χ16188-8-800-40000-4440000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i300002+2i3−2−2i3−2−2i30000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i300002−2i3−2+2i3−2+2i30000000000000000000000000000000000000000
χ1628-88-800-400004-440000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i30000−2−2i32+2i3−2−2i30000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i30000−2+2i32−2i3−2+2i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.