Finite Group Databasebeta

← Group #13158030

Character table — Group #13158030

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size112222222224444444448888888888812121212121212121212242424242424243636721122222222244444444488888888888121212121212121212122424242424242436367211222222222444444444888888888881212121212121212121224242424242424363672
order1223344661212366612121212126812242424242424242422444412121212266661212228366331212661212366612121212126241224242424242424246612121212121212126666612126624366331212661212366612121212126241224242424242424246612121212121212126666612126624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-1111111-11-1-1-11-1-1-1-111111111111111111111111111111111-11-1111111-11-1-1-11-1-1-1-111111111111111111111111111111111-11-1111111-11-1-1-11-1-1-1-1
χ31111111111111111111111111111111-11-11-1-1-1-1-1-11-1111-11-1-1-11111111111111111111111111111111-11-11-1-1-1-1-1-11-1111-11-1-1-11111111111111111111111111111111-11-11-1-1-1-1-1-11-1111-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1
χ6111111111111111111111-11-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1111-1-1-11111111111111111111111-11-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1111-1-1-11111111111111111111111-11-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1111-1-1-11
χ7111111111111111111111-11-1-1-1-1-1-1-1-1-11-11111111-1-11-1-1-11-1-11111111111111111111111-11-1-1-1-1-1-1-1-1-11-11111111-1-11-1-1-11-1-11111111111111111111111-11-1-1-1-1-1-1-1-1-11-11111111-1-11-1-1-11-1-11
χ8111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1
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χ1022222-2-222-2-22222-2-2-2-2-220-20000000000000000000000000-22022222-2-222-2-22222-2-2-2-2-220-20000000000000000000000000-22022222-2-222-2-22222-2-2-2-2-220-20000000000000000000000000-220
χ112222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1020200000020-1-1-10-10002222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1020200000020-1-1-10-10002222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1020200000020-1-1-10-1000
χ122222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-10-20-2000000-20111010002222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-10-20-2000000-20111010002222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-10-20-2000000-2011101000
χ132222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110202000000-20-1110-10002222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110202000000-20-1110-10002222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110202000000-20-1110-1000
χ142222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110-20-2000000201-1-1010002222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110-20-2000000201-1-1010002222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110-20-2000000201-1-101000
χ15222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1202022-1-1-1-10-1000-10000222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1202022-1-1-1-10-1000-10000222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1202022-1-1-1-10-1000-10000
χ16222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-20-20-2-211110100010000222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-20-20-2-211110100010000222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-20-20-2-211110100010000
χ17222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-211112020-2-211110-1000-10000222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-211112020-2-211110-1000-10000222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-211112020-2-211110-1000-10000
χ18222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-21111-20-2022-1-1-1-10100010000222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-21111-20-2022-1-1-1-10100010000222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-21111-20-2022-1-1-1-10100010000
χ1922-2222-222222-22-2-2-2222-20-200000000020-2000000002000-200022-2222-222222-22-2-2-2222-20-200000000020-2000000002000-200022-2222-222222-22-2-2-2222-20-200000000020-2000000002000-2000
χ2022-2222-222222-22-2-2-2222-20-2000000000-20200000000-2000200022-2222-222222-22-2-2-2222-20-2000000000-20200000000-2000200022-2222-222222-22-2-2-2222-20-2000000000-20200000000-20002000
χ2122-222-2222-2-22-22-222-2-2-2-2020000000020-2000000002000-2000022-222-2222-2-22-22-222-2-2-2-2020000000020-2000000002000-2000022-222-2222-2-22-22-222-2-2-2-2020000000020-2000000002000-20000
χ2222-222-2222-2-22-22-222-2-2-2-20200000000-20200000000-20002000022-222-2222-2-22-22-222-2-2-2-20200000000-20200000000-20002000022-222-2222-2-22-22-222-2-2-2-20200000000-20200000000-200020000
χ2322-22-12-22-122-11-1-2-21-1-1-110100−i3i3−i3−i3i3i3020-200000000-1−i3i30100022-22-12-22-122-11-1-2-21-1-1-110100−i3i3−i3−i3i3i3020-200000000-1−i3i30100022-22-12-22-122-11-1-2-21-1-1-110100−i3i3−i3−i3i3i3020-200000000-1−i3i301000
χ2422-22-12-22-122-11-1-2-21-1-1-110100−i3i3−i3−i3i3i30-202000000001i3−i30-100022-22-12-22-122-11-1-2-21-1-1-110100−i3i3−i3−i3i3i30-202000000001i3−i30-100022-22-12-22-122-11-1-2-21-1-1-110100−i3i3−i3−i3i3i30-202000000001i3−i30-1000
χ2522-22-12-22-122-11-1-2-21-1-1-110100i3−i3i3i3−i3−i3020-200000000-1i3−i30100022-22-12-22-122-11-1-2-21-1-1-110100i3−i3i3i3−i3−i3020-200000000-1i3−i30100022-22-12-22-122-11-1-2-21-1-1-110100i3−i3i3i3−i3−i3020-200000000-1i3−i301000
χ2622-22-12-22-122-11-1-2-21-1-1-110100i3−i3i3i3−i3−i30-202000000001−i3i30-100022-22-12-22-122-11-1-2-21-1-1-110100i3−i3i3i3−i3−i30-202000000001−i3i30-100022-22-12-22-122-11-1-2-21-1-1-110100i3−i3i3i3−i3−i30-202000000001−i3i30-1000
χ2722-2-12-22-1211-1-2-11-12-21110-13−3003−33−320-200033−3−30-10001000022-2-12-22-1211-1-2-11-12-21110-13−3003−33−320-200033−3−30-10001000022-2-12-22-1211-1-2-11-12-21110-13−3003−33−320-200033−3−30-100010000
χ2822-2-12-22-1211-1-2-11-12-21110-13−3003−33−3-202000−3−33301000-1000022-2-12-22-1211-1-2-11-12-21110-13−3003−33−3-202000−3−33301000-1000022-2-12-22-1211-1-2-11-12-21110-13−3003−33−3-202000−3−33301000-10000
χ2922-2-12-22-1211-1-2-11-12-21110-1−3300−33−3320-2000−3−3330-10001000022-2-12-22-1211-1-2-11-12-21110-1−3300−33−3320-2000−3−3330-10001000022-2-12-22-1211-1-2-11-12-21110-1−3300−33−3320-2000−3−3330-100010000
χ3022-2-12-22-1211-1-2-11-12-21110-1−3300−33−33-20200033−3−301000-1000022-2-12-22-1211-1-2-11-12-21110-1−3300−33−33-20200033−3−301000-1000022-2-12-22-1211-1-2-11-12-21110-1−3300−33−33-20200033−3−301000-10000
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χ32444-24-4-4-2422-24-2-22-4-422-2020000000000000000000000000000444-24-4-4-2422-24-2-22-4-422-2020000000000000000000000000000444-24-4-4-2422-24-2-22-4-422-2020000000000000000000000000000
χ33444-2-244-2-2-2-21-21-2-2-2-211141-2-2-2-2111100000000000000000000444-2-244-2-2-2-21-21-2-2-2-211141-2-2-2-2111100000000000000000000444-2-244-2-2-2-21-21-2-2-2-211141-2-2-2-2111100000000000000000000
χ34444-2-244-2-2-2-21-21-2-2-2-2111-412222-1-1-1-100000000000000000000444-2-244-2-2-2-21-21-2-2-2-2111-412222-1-1-1-100000000000000000000444-2-244-2-2-2-21-21-2-2-2-2111-412222-1-1-1-100000000000000000000
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χ3744-44-2-444-2-4-4-22-2-44-222220-2000000000000000000000000000044-44-2-444-2-4-4-22-2-44-222220-2000000000000000000000000000044-44-2-444-2-4-4-22-2-44-222220-20000000000000000000000000000
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χ4044-4-2-24-4-2-2-2-2121222-211-10-1002i3−2i3−i3−i3i3i30000000000000000000044-4-2-24-4-2-2-2-2121222-211-10-1002i3−2i3−i3−i3i3i30000000000000000000044-4-2-24-4-2-2-2-2121222-211-10-1002i3−2i3−i3−i3i3i300000000000000000000
χ4144-4-2-2-44-2-2221212-2-22-1-1-10123−2300−33−330000000000000000000044-4-2-2-44-2-2221212-2-22-1-1-10123−2300−33−330000000000000000000044-4-2-2-44-2-2221212-2-22-1-1-10123−2300−33−3300000000000000000000
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χ464-40-24002-423−23-202000023−23000000000000000-221+3−1−31−3−1+300000000004-40-24002-423−23-202000023−23000000000000000-221+3−1−31−3−1+300000000004-40-24002-423−23-202000023−23000000000000000-221+3−1−31−3−1+30000000000
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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
χ5311111111111111111111111111111111-11-1111111-11-1-1-11-1-1-1-1−1+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+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−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−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−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ541111111111111111111111111111111-11-11-1-1-1-1-1-11-1111-11-1-1-1−1+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+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−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−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−i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32
χ551111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+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+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−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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ56111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1−1+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+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−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−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ57111111111111111111111-11-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1111-1-1-11−1+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+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ58111111111111111111111-11-1-1-1-1-1-1-1-1-11-11111111-1-11-1-1-11-1-11−1+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+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−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−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32
χ59111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1−1+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+i321−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+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−i321+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ6022222-2-222-2-22222-2-2-2-2-220-200000000000000000000000002-20−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i301−i30000000000000000000000000−1+i31−i30−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i301+i30000000000000000000000000−1−i31+i30
χ6122222-2-222-2-22222-2-2-2-2-220-20000000000000000000000000-220−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i301−i300000000000000000000000001−i3−1+i30−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i301+i300000000000000000000000001+i3−1−i30
χ622222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1020200000020-1-1-10-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320−1+i30−1+i3000000−1+i301−i321−i321−i3201−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320−1−i30−1−i3000000−1−i301+i321+i321+i3201+i32000
χ632222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-10-20-2000000-2011101000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3201−i301−i30000001−i30−1+i32−1+i32−1+i320−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3201+i301+i30000001+i30−1−i32−1−i32−1−i320−1−i32000
χ642222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110202000000-20-1110-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320−1+i30−1+i30000001−i301−i32−1+i32−1+i3201−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320−1−i30−1−i30000001+i301+i32−1−i32−1−i3201+i32000
χ652222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110-20-2000000201-1-101000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3201−i301−i3000000−1+i30−1+i321−i321−i320−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3201+i301+i3000000−1−i30−1−i321+i321+i320−1−i32000
χ66222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1202022-1-1-1-10-1000-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i30−1+i30−1+i3−1+i31−i321−i321−i321−i3201−i320001−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i30−1−i30−1−i3−1−i31+i321+i321+i321+i3201+i320001+i320000
χ67222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-20-20-2-211110100010000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i301−i301−i31−i3−1+i32−1+i32−1+i32−1+i320−1+i32000−1+i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i301+i301+i31+i3−1−i32−1−i32−1−i32−1−i320−1−i32000−1−i320000
χ68222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-211112020-2-211110-1000-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i30−1+i301−i31−i3−1+i32−1+i32−1+i32−1+i3201−i320001−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i30−1−i301+i31+i3−1−i32−1−i32−1−i32−1−i3201+i320001+i320000
χ69222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-21111-20-2022-1-1-1-10100010000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i301−i30−1+i3−1+i31−i321−i321−i321−i320−1+i32000−1+i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i301+i30−1−i3−1−i31+i321+i321+i321+i320−1−i32000−1−i320000
χ7022-2222-222222-22-2-2-2222-20-200000000020-2000000002000-2000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i301−i3000000000−1+i301−i300000000−1+i30001−i3000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i301+i3000000000−1−i301+i300000000−1−i30001+i3000
χ7122-2222-222222-22-2-2-2222-20-2000000000-20200000000-20002000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i301−i30000000001−i30−1+i3000000001−i3000−1+i3000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i301+i30000000001+i30−1−i3000000001+i3000−1−i3000
χ7222-222-2222-2-22-22-222-2-2-2-2020000000020-2000000002000-20000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i30−1+i300000000−1+i301−i300000000−1+i30001−i30000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i30−1−i300000000−1−i301+i300000000−1−i30001+i30000
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χ108111111111111111111111-11-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1111-1-1-11−1−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−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+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+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
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χ110111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1−1−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−i321+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−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+i321−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ11122222-2-222-2-22222-2-2-2-2-220-200000000000000000000000002-20−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i301+i30000000000000000000000000−1−i31+i30−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i301−i30000000000000000000000000−1+i31−i30
χ11222222-2-222-2-22222-2-2-2-2-220-20000000000000000000000000-220−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i301+i300000000000000000000000001+i3−1−i30−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i301−i300000000000000000000000001−i3−1+i30
χ1132222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1020200000020-1-1-10-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320−1−i30−1−i3000000−1−i301+i321+i321+i3201+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320−1+i30−1+i3000000−1+i301−i321−i321−i3201−i32000
χ1142222-1222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-10-20-2000000-2011101000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3201+i301+i30000001+i30−1−i32−1−i32−1−i320−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3201−i301−i30000001−i30−1+i32−1+i32−1+i320−1+i32000
χ1152222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110202000000-20-1110-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320−1−i30−1−i30000001+i301+i32−1−i32−1−i3201+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320−1+i30−1+i30000001−i301−i32−1+i32−1+i3201−i32000
χ1162222-1222-122-1-1-122-1-1-1-1-1-2-1-2-21111110-20-2000000201-1-101000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3201+i301+i3000000−1−i30−1−i321+i321+i320−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3201−i301−i3000000−1+i30−1+i321−i321−i320−1+i32000
χ117222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1202022-1-1-1-10-1000-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i30−1−i30−1−i3−1−i31+i321+i321+i321+i3201+i320001+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i30−1+i30−1+i3−1+i31−i321−i321−i321−i3201−i320001−i320000
χ118222-1222-12-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-20-20-2-211110100010000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i301+i301+i31+i3−1−i32−1−i32−1−i32−1−i320−1−i32000−1−i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i301−i301−i31−i3−1+i32−1+i32−1+i32−1+i320−1+i32000−1+i320000
χ119222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-211112020-2-211110-1000-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i30−1−i301+i31+i3−1−i32−1−i32−1−i32−1−i3201+i320001+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i30−1+i301−i31−i3−1+i32−1+i32−1+i32−1+i3201−i320001−i320000
χ120222-1222-12-1-1-12-1-1-122-1-1-1-2-111-2-21111-20-2022-1-1-1-10100010000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i301+i30−1−i3−1−i31+i321+i321+i321+i320−1−i32000−1−i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i301−i30−1+i3−1+i31−i321−i321−i321−i320−1+i32000−1+i320000
χ12122-2222-222222-22-2-2-2222-20-200000000020-2000000002000-2000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i301+i3000000000−1−i301+i300000000−1−i30001+i3000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i301−i3000000000−1+i301−i300000000−1+i30001−i3000
χ12222-2222-222222-22-2-2-2222-20-2000000000-20200000000-20002000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i301+i30000000001+i30−1−i3000000001+i3000−1−i3000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i301−i30000000001−i30−1+i3000000001−i3000−1+i3000
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χ12622-22-12-22-122-11-1-2-21-1-1-110100−i3i3−i3−i3i3i30-202000000001i3−i30-1000−1−i3−1−i31+i3−1−i31+i32−1−i31+i3−1−i31+i32−1−i3−1−i31+i32−1−i321+i321+i31+i3−1−i321+i321+i321+i32−1−i320−1−i3200−3+i323−i32−3+i32−3+i323−i323−i3201+i30−1−i300000000−1−i323−i32−3+i3201+i32000−1+i3−1+i31−i3−1+i31−i32−1+i31−i3−1+i31−i32−1+i3−1+i31−i32−1+i321−i321−i31−i3−1+i321−i321−i321−i32−1+i320−1+i32003+i32−3−i323+i323+i32−3−i32−3−i3201−i30−1+i300000000−1+i32−3−i323+i3201−i32000
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χ1484-40-24002-423−23-202000023−23000000000000000-221+3−1−31−3−1+30000000000−2−2i32+2i301+i3−2−2i300−1−i32+2i34ζ7+2ζ11−4ζ7−2ζ111+i30−1−i300004ζ7+2ζ11−4ζ7−2ζ110000000000000001+i3−1−i3−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ110000000000−2+2i32−2i301−i3−2+2i300−1+i32−2i3−2ζ7−4ζ112ζ7+4ζ111−i30−1+i30000−2ζ7−4ζ112ζ7+4ζ110000000000000001−i3−1+i3−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ110000000000
χ1494-40-24002-4−2323-2020000−23230000000000000002-2−1+31−3−1−31+30000000000−2−2i32+2i301+i3−2−2i300−1−i32+2i3−4ζ7−2ζ114ζ7+2ζ111+i30−1−i30000−4ζ7−2ζ114ζ7+2ζ11000000000000000−1−i31+i3ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ110000000000−2+2i32−2i301−i3−2+2i300−1+i32−2i32ζ7+4ζ11−2ζ7−4ζ111−i30−1+i300002ζ7+4ζ11−2ζ7−4ζ11000000000000000−1+i31−i3−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ110000000000
χ1504-40-24002-4−2323-2020000−2323000000000000000-221−3−1+31+3−1−30000000000−2−2i32+2i301+i3−2−2i300−1−i32+2i3−4ζ7−2ζ114ζ7+2ζ111+i30−1−i30000−4ζ7−2ζ114ζ7+2ζ110000000000000001+i3−1−i3−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ110000000000−2+2i32−2i301−i3−2+2i300−1+i32−2i32ζ7+4ζ11−2ζ7−4ζ111−i30−1+i300002ζ7+4ζ11−2ζ7−4ζ110000000000000001−i3−1+i3ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ110000000000
χ1518-808-400-8400-4040000000000000000000000000000000000000−4−4i34+4i30−4−4i32+2i3004+4i3−2−2i3002+2i30−2−2i30000000000000000000000000000000000000−4+4i34−4i30−4+4i32−2i3004−4i3−2+2i3002−2i30−2+2i30000000000000000000000000000000000000
χ1528-80-4-4004443−4320-20000−23230000000000000000000000000000000−4−4i34+4i302+2i32+2i300−2−2i3−2−2i38ζ7+4ζ11−8ζ7−4ζ11−1−i301+i30000−4ζ7−2ζ114ζ7+2ζ110000000000000000000000000000000−4+4i34−4i302−2i32−2i300−2+2i3−2+2i3−4ζ7−8ζ114ζ7+8ζ11−1+i301−i300002ζ7+4ζ11−2ζ7−4ζ110000000000000000000000000000000
χ1538-80-4-40044−434320-2000023−230000000000000000000000000000000−4−4i34+4i302+2i32+2i300−2−2i3−2−2i3−8ζ7−4ζ118ζ7+4ζ11−1−i301+i300004ζ7+2ζ11−4ζ7−2ζ110000000000000000000000000000000−4+4i34−4i302−2i32−2i300−2+2i3−2+2i34ζ7+8ζ11−4ζ7−8ζ11−1+i301−i30000−2ζ7−4ζ112ζ7+4ζ110000000000000000000000000000000

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