Finite Group Databasebeta

← Group #13158521

Character table — Group #13158521

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size112222222224444444446688888888888121212121212122424242424242424363672112222222224444444446688888888888121212121212122424242424242424363672112222222224444444446688888888888121212121212122424242424242424363672
order1223344666636666121212128826666666612128882424242448121224242424248366331212666636666121212122424666666666121224242424242424122412122424242461224366331212666636666121212122424666666666121224242424242424122412122424242461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111111-111-1-1-1-1-1-1-11111111111111111111111111111111111-1-111111-111-1-1-1-1-1-1-11111111111111111111111111111111111-1-111111-111-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-11-1-1-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-11-1-1-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-11-1-1-1-111-1-11
χ511111111111111111111-1-111111111111-111-1-1-1-1-11-1-11111-1-1-111111111111111111111-1-111111111111-111-1-1-1-1-11-1-11111-1-1-111111111111111111111-1-111111111111-111-1-1-1-1-11-1-11111-1-1-1
χ611111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-11111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-11111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-11111-1-1-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1
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χ112222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-102200000200-1-1-1-10002222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-102200000200-1-1-1-10002222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-102200000200-1-1-1-1000
χ122222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-10-2-200000-20011110002222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-10-2-200000-20011110002222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-10-2-200000-2001111000
χ132222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-102200000-200-1-1110002222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-102200000-200-1-1110002222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-102200000-200-1-111000
χ142222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-10-2-20000020011-1-10002222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-10-2-20000020011-1-10002222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-10-2-20000020011-1-1000
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χ172222-1-2-222-12-1-1-1-1-1-211-200000i3−i3i3i3−i3−i31102i−2i00000000−ii−330002222-1-2-222-12-1-1-1-1-1-211-200000i3−i3i3i3−i3−i31102i−2i00000000−ii−330002222-1-2-222-12-1-1-1-1-1-211-200000i3−i3i3i3−i3−i31102i−2i00000000−ii−33000
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χ19222-1222-1-12-1-12-1-1-1-122-1222-1-122-1-1-1-1-1-1200-1-1-1-120-1-10000000222-1222-1-12-1-12-1-1-1-122-1222-1-122-1-1-1-1-1-1200-1-1-1-120-1-10000000222-1222-1-12-1-12-1-1-1-122-1222-1-122-1-1-1-1-1-1200-1-1-1-120-1-10000000
χ20222-1222-1-12-1-12-1-1-1-122-122-211-2-21111-1-1200-1-1-1-1-20110000000222-1222-1-12-1-12-1-1-1-122-122-211-2-21111-1-1200-1-1-1-1-20110000000222-1222-1-12-1-12-1-1-1-122-122-211-2-21111-1-1200-1-1-1-1-20110000000
χ21222-1222-1-12-1-12-1-1-1-122-1-2-22-1-122-1-1-1-1-1-1-2001111-20110000000222-1222-1-12-1-12-1-1-1-122-1-2-22-1-122-1-1-1-1-1-1-2001111-20110000000222-1222-1-12-1-12-1-1-1-122-1-2-22-1-122-1-1-1-1-1-1-2001111-20110000000
χ22222-1222-1-12-1-12-1-1-1-122-1-2-2-211-2-21111-1-1-200111120-1-10000000222-1222-1-12-1-12-1-1-1-122-1-2-2-211-2-21111-1-1-200111120-1-10000000222-1222-1-12-1-12-1-1-1-122-1-2-2-211-2-21111-1-1-200111120-1-10000000
χ2322-2222-2-2-2222-2-2-22-22-22220000000002-2-20022-2-20000000000022-2222-2-2-2222-2-2-22-22-22220000000002-2-20022-2-20000000000022-2222-2-2-2222-2-2-22-22-22220000000002-2-20022-2-200000000000
χ2422-2222-2-2-2222-2-2-22-22-22-2-20000000002-2200-2-2220000000000022-2222-2-2-2222-2-2-22-22-22-2-20000000002-2200-2-2220000000000022-2222-2-2-2222-2-2-22-22-22-2-20000000002-2200-2-22200000000000
χ2522-222-22-2-2222-2-2-222-22-200000000000-220000000000000002-2022-222-22-2-2222-2-2-222-22-200000000000-220000000000000002-2022-222-22-2-2222-2-2-222-22-200000000000-220000000000000002-20
χ2622-222-22-2-2222-2-2-222-22-200000000000-22000000000000000-22022-222-22-2-2222-2-2-222-22-200000000000-22000000000000000-22022-222-22-2-2222-2-2-222-22-200000000000-22000000000000000-220
χ2722-2-122-2112-1-1-211-112-2-1220−i3i300−i3i3−i3i3-11-200-1-11100−i3i3000000022-2-122-2112-1-1-211-112-2-1220−i3i300−i3i3−i3i3-11-200-1-11100−i3i3000000022-2-122-2112-1-1-211-112-2-1220−i3i300−i3i3−i3i3-11-200-1-11100−i3i30000000
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χ31444-24-4-4-2-24-2-24-2-2-22-4-420000000000022000000000000000000444-24-4-4-2-24-2-24-2-2-22-4-420000000000022000000000000000000444-24-4-4-2-24-2-24-2-2-22-4-420000000000022000000000000000000
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χ33444-2-244-2-2-2-21-2111-2-2-2-200-42222-1-1-1-111000000000000000000444-2-244-2-2-2-21-2111-2-2-2-200-42222-1-1-1-111000000000000000000444-2-244-2-2-2-21-2111-2-2-2-200-42222-1-1-1-111000000000000000000
χ34444-2-2-4-4-2-2-2-21-2111222200000−2i32i3i3i3−i3−i3-1-1000000000000000000444-2-2-4-4-2-2-2-21-2111222200000−2i32i3i3i3−i3−i3-1-1000000000000000000444-2-2-4-4-2-2-2-21-2111222200000−2i32i3i3i3−i3−i3-1-1000000000000000000
χ35444-2-2-4-4-2-2-2-21-21112222000002i3−2i3−i3−i3i3i3-1-1000000000000000000444-2-2-4-4-2-2-2-21-21112222000002i3−2i3−i3−i3i3i3-1-1000000000000000000444-2-2-4-4-2-2-2-21-21112222000002i3−2i3−i3−i3i3i3-1-1000000000000000000
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χ52111111111111111111111111111111111111111111111111111−1+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+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−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
χ531111111111111111111111111111111111-1-111111-111-1-1-1-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ541111111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111-1−1+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+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ551111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-11-1-1-1-111-1-11−1+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−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+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−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+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ5611111111111111111111-1-111111111111-111-1-1-1-1-11-1-11111-1-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ5711111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+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+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−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−i321+i321+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+i321+i32−1−i32−1−i32−1−i32
χ5811111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-11111-1-1-1-11−1+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−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−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+i32−1−i32−1−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+i32
χ6022222-2-2222222222-2-2-2-200000000000-2-202i−2i000000002i−2i00000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000001−i31−i302ζ14−2ζ14000000002ζ14−2ζ1400000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000001+i31+i302ζ22−2ζ22000000002ζ22−2ζ2200000
χ6122222-2-2222222222-2-2-2-200000000000-2-20−2i2i00000000−2i2i00000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000001−i31−i30−2ζ142ζ1400000000−2ζ142ζ1400000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000001+i31+i30−2ζ222ζ2200000000−2ζ222ζ2200000
χ622222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-102200000200-1-1-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i300−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320−1+i3−1+i300000−1+i3001−i321−i321−i321−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i300−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320−1−i3−1−i300000−1−i3001+i321+i321+i321+i32000
χ632222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-10-2-200000-2001111000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i300−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3201−i31−i3000001−i300−1+i32−1+i32−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i300−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3201+i31+i3000001+i300−1−i32−1−i32−1−i32−1−i32000
χ642222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-102200000-200-1-111000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3001−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320−1+i3−1+i3000001−i3001−i321−i32−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3001+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320−1−i3−1−i3000001+i3001+i321+i32−1−i32−1−i32000
χ652222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-10-2-20000020011-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3001−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3201−i31−i300000−1+i300−1+i32−1+i321−i321−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3001+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3201+i31+i300000−1−i300−1−i32−1−i321+i321+i32000
χ662222-1-2-222-12-1-1-1-1-1-211-200000−i3i3−i3−i3i3i31102i−2i00000000−ii3−3000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i3202ζ14−2ζ1400000000−ζ14ζ14−ζ14−2ζ22ζ14+2ζ22000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i300000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i3202ζ22−2ζ2200000000−ζ22ζ222ζ14+ζ22−2ζ14−ζ22000
χ672222-1-2-222-12-1-1-1-1-1-211-200000−i3i3−i3−i3i3i3110−2i2i00000000i−i−33000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i320−2ζ142ζ1400000000ζ14−ζ14ζ14+2ζ22−ζ14−2ζ22000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i300000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i320−2ζ222ζ2200000000ζ22−ζ22−2ζ14−ζ222ζ14+ζ22000
χ682222-1-2-222-12-1-1-1-1-1-211-200000i3−i3i3i3−i3−i31102i−2i00000000−ii−33000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i300000−3−i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i3202ζ14−2ζ1400000000−ζ14ζ14ζ14+2ζ22−ζ14−2ζ22000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000003−i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i3202ζ22−2ζ2200000000−ζ22ζ22−2ζ14−ζ222ζ14+ζ22000
χ692222-1-2-222-12-1-1-1-1-1-211-200000i3−i3i3i3−i3−i3110−2i2i00000000i−i3−3000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i300000−3−i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i320−2ζ142ζ1400000000ζ14−ζ14−ζ14−2ζ22ζ14+2ζ22000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000003−i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i320−2ζ222ζ2200000000ζ22−ζ222ζ14+ζ22−2ζ14−ζ22000
χ70222-1222-1-12-1-12-1-1-1-122-1222-1-122-1-1-1-1-1-1200-1-1-1-120-1-10000000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3001−i321−i321−i321−i32−1+i301−i321−i320000000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3001+i321+i321+i321+i32−1−i301+i321+i320000000
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χ1051111111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111-1−1−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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
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χ10711111111111111111111-1-111111111111-111-1-1-1-1-11-1-11111-1-1-1−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ10811111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1−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−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+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+i321−i321−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−i321−i32−1+i32−1+i32−1+i32
χ10911111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11-11111-1-1-1-11−1−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+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ11011111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+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−i32−1+i32−1+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−i32
χ11122222-2-2222222222-2-2-2-200000000000-2-202i−2i000000002i−2i00000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000001+i31+i302ζ22−2ζ22000000002ζ22−2ζ2200000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000001−i31−i302ζ14−2ζ14000000002ζ14−2ζ1400000
χ11222222-2-2222222222-2-2-2-200000000000-2-20−2i2i00000000−2i2i00000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000001+i31+i30−2ζ222ζ2200000000−2ζ222ζ2200000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000001−i31−i30−2ζ142ζ1400000000−2ζ142ζ1400000
χ1132222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-102200000200-1-1-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i300−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320−1−i3−1−i300000−1−i3001+i321+i321+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i300−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320−1+i3−1+i300000−1+i3001−i321−i321−i321−i32000
χ1142222-12222-12-1-1-1-1-12-1-1200222-1-1-1-1-1-1-1-10-2-200000-2001111000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i300−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3201+i31+i3000001+i300−1−i32−1−i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i300−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3201−i31−i3000001−i300−1+i32−1+i32−1+i32−1+i32000
χ1152222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-102200000-200-1-111000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3001+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320−1−i3−1−i3000001+i3001+i321+i32−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3001−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320−1+i3−1+i3000001−i3001−i321−i32−1+i32−1+i32000
χ1162222-12222-12-1-1-1-1-12-1-1200-2-2-2111111-1-10-2-20000020011-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3001+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3201+i31+i300000−1−i300−1−i32−1−i321+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3001−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3201−i31−i300000−1+i300−1+i32−1+i321−i321−i32000
χ1172222-1-2-222-12-1-1-1-1-1-211-200000−i3i3−i3−i3i3i31102i−2i00000000−ii3−3000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i300000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i3202ζ22−2ζ2200000000−ζ22ζ222ζ14+ζ22−2ζ14−ζ22000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i3202ζ14−2ζ1400000000−ζ14ζ14−ζ14−2ζ22ζ14+2ζ22000
χ1182222-1-2-222-12-1-1-1-1-1-211-200000−i3i3−i3−i3i3i3110−2i2i00000000i−i−33000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i300000−3+i323−i32−3+i32−3+i323−i323−i32−1−i32−1−i320−2ζ222ζ2200000000ζ22−ζ22−2ζ14−ζ222ζ14+ζ22000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000003+i32−3−i323+i323+i32−3−i32−3−i32−1+i32−1+i320−2ζ142ζ1400000000ζ14−ζ14ζ14+2ζ22−ζ14−2ζ22000
χ1192222-1-2-222-12-1-1-1-1-1-211-200000i3−i3i3i3−i3−i31102i−2i00000000−ii−33000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000003−i32−3+i323−i323−i32−3+i32−3+i32−1−i32−1−i3202ζ22−2ζ2200000000−ζ22ζ22−2ζ14−ζ222ζ14+ζ22000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i300000−3−i323+i32−3−i32−3−i323+i323+i32−1+i32−1+i3202ζ14−2ζ1400000000−ζ14ζ14ζ14+2ζ22−ζ14−2ζ22000
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χ14444-4-2-2-4422-2-212-1-11-22-220000000-333-3-11000000000000000000−2−2i3−2−2i32+2i31+i31+i32+2i3−2−2i3−1−i3−1−i31+i31+i3−1−i32−1−i31+i321+i32−1−i321+i3−1−i31+i3−1−i300000003+3i32−3−3i32−3−3i323+3i321+i32−1−i32000000000000000000−2+2i3−2+2i32−2i31−i31−i32−2i3−2+2i3−1+i3−1+i31−i31−i3−1+i32−1+i31−i321−i32−1+i321−i3−1+i31−i3−1+i300000003−3i32−3+3i32−3+3i323−3i321−i32−1+i32000000000000000000
χ1454-40440000-4-44000-40000−2i22i200000000000000−2i22i20000000000000−2−2i32+2i30−2−2i3−2−2i300002+2i32+2i3−2−2i30002+2i300002ζ7+2ζ13−2ζ7−2ζ13000000000000002ζ7+2ζ13−2ζ7−2ζ130000000000000−2+2i32−2i30−2+2i3−2+2i300002−2i32−2i3−2+2i30002−2i300002ζ5+2ζ23−2ζ5−2ζ23000000000000002ζ5+2ζ23−2ζ5−2ζ230000000000000
χ1464-40440000-4-44000-400002i2−2i2000000000000002i2−2i20000000000000−2−2i32+2i30−2−2i3−2−2i300002+2i32+2i3−2−2i30002+2i30000−2ζ7−2ζ132ζ7+2ζ1300000000000000−2ζ7−2ζ132ζ7+2ζ130000000000000−2+2i32−2i30−2+2i3−2+2i300002−2i32−2i3−2+2i30002−2i30000−2ζ5−2ζ232ζ5+2ζ2300000000000000−2ζ5−2ζ232ζ5+2ζ230000000000000
χ1474-40-2400−2i32i3-42-20−2i32i320000−2i22i200000000000000i2−i26−600000000000−2−2i32+2i301+i3−2−2i300−3+i33−i32+2i3−1−i31+i30−3+i33−i3−1−i300002ζ7+2ζ13−2ζ7−2ζ1300000000000000−ζ7−ζ13ζ7+ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000−2+2i32−2i301−i3−2+2i3003+i3−3−i32−2i3−1+i31−i303+i3−3−i3−1+i300002ζ5+2ζ23−2ζ5−2ζ2300000000000000−ζ5−ζ23ζ5+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000
χ1484-40-2400−2i32i3-42-20−2i32i3200002i2−2i200000000000000−i2i2−6600000000000−2−2i32+2i301+i3−2−2i300−3+i33−i32+2i3−1−i31+i30−3+i33−i3−1−i30000−2ζ7−2ζ132ζ7+2ζ1300000000000000ζ7+ζ13−ζ7−ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ2300000000000−2+2i32−2i301−i3−2+2i3003+i3−3−i32−2i3−1+i31−i303+i3−3−i3−1+i30000−2ζ5−2ζ232ζ5+2ζ2300000000000000ζ5+ζ23−ζ5−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ2300000000000
χ1494-40-24002i3−2i3-42-202i3−2i320000−2i22i200000000000000i2−i2−6600000000000−2−2i32+2i301+i3−2−2i3003−i3−3+i32+2i3−1−i31+i303−i3−3+i3−1−i300002ζ7+2ζ13−2ζ7−2ζ1300000000000000−ζ7−ζ13ζ7+ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ2300000000000−2+2i32−2i301−i3−2+2i300−3−i33+i32−2i3−1+i31−i30−3−i33+i3−1+i300002ζ5+2ζ23−2ζ5−2ζ2300000000000000−ζ5−ζ23ζ5+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ2300000000000
χ1504-40-24002i3−2i3-42-202i3−2i3200002i2−2i200000000000000−i2i26−600000000000−2−2i32+2i301+i3−2−2i3003−i3−3+i32+2i3−1−i31+i303−i3−3+i3−1−i30000−2ζ7−2ζ132ζ7+2ζ1300000000000000ζ7+ζ13−ζ7−ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000−2+2i32−2i301−i3−2+2i300−3−i33+i32−2i3−1+i31−i30−3−i33+i3−1+i30000−2ζ5−2ζ232ζ5+2ζ2300000000000000ζ5+ζ23−ζ5−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000
χ1518-808-400004-8-4000400000000000000000000000000000000000−4−4i34+4i30−4−4i32+2i30000−2−2i34+4i32+2i3000−2−2i300000000000000000000000000000000000−4+4i34−4i30−4+4i32−2i30000−2+2i34−4i32−2i3000−2+2i300000000000000000000000000000000000
χ1528-80-4-400−4i34i344202i3−2i3-200000000000000000000000000000000000−4−4i34+4i302+2i32+2i300−6+2i36−2i3−2−2i3−2−2i3−1−i303−i3−3+i31+i300000000000000000000000000000000000−4+4i34−4i302−2i32−2i3006+2i3−6−2i3−2+2i3−2+2i3−1+i30−3−i33+i31−i300000000000000000000000000000000000
χ1538-80-4-4004i3−4i34420−2i32i3-200000000000000000000000000000000000−4−4i34+4i302+2i32+2i3006−2i3−6+2i3−2−2i3−2−2i3−1−i30−3+i33−i31+i300000000000000000000000000000000000−4+4i34−4i302−2i32−2i300−6−2i36+2i3−2+2i3−2+2i3−1+i303+i3−3−i31−i300000000000000000000000000000000000

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