Finite Group Databasebeta

← Group #13157425

Character table — Group #13157425

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size112222222224444444448888888888812121212121212121212242424242424243636721122222222244444444488888888888121212121212121212122424242424242436367211222222222444444444888888888881212121212121212121224242424242424363672
order1222233666636666666646612121212121212122244441212121246612121212244366663366663666666661266121212121212121266121212121212121212661212121261212366663366663666666661266121212121212121266121212121212121212661212121261212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1111-11111-11-1-11-1-1-1-1-111111111111111111111111111111111-1111-11111-11-1-11-1-1-1-1-111111111111111111111111111111111-1111-11111-11-1-11-1-1-1-1-1
χ31111111111111111111111111111111-11-1-1-11-1-1-1-11-111-111-1-1-11111111111111111111111111111111-11-1-1-11-1-1-1-11-111-111-1-1-11111111111111111111111111111111-11-1-1-11-1-1-1-11-111-111-1-1-1
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
χ511111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-111111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-111111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-1
χ611111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-1111111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-1111111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-11
χ711111111111111111111-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-1111111111111111111111-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-1111111111111111111111-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-11
χ811111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1
χ9222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000
χ10222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000
χ11222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000
χ12222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000
χ1322222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-10000022222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-10000022222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-100000
χ1422222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-201111010010000022222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-201111010010000022222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-2011110100100000
χ1522222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-10000022222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-10000022222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-100000
χ1622222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-1010010000022222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-1010010000022222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-10100100000
χ17222-2-22222222-2-2-22222-20-2-20000000020-200000000200-200000222-2-22222222-2-2-22222-20-2-20000000020-200000000200-200000222-2-22222222-2-2-22222-20-2-20000000020-200000000200-200000
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χ20222-2-2-12-1-12-1-111-2-12-1-1-2011−i3i300−i3−i3i3i3-202000i3i3−i3−i30100-100000222-2-2-12-1-12-1-111-2-12-1-1-2011−i3i300−i3−i3i3i3-202000i3i3−i3−i30100-100000222-2-2-12-1-12-1-111-2-12-1-1-2011−i3i300−i3−i3i3i3-202000i3i3−i3−i30100-100000
χ21222-2-2-12-1-12-1-111-2-12-1-1-2011i3−i300i3i3−i3−i320-2000i3i3−i3−i30-100100000222-2-2-12-1-12-1-111-2-12-1-1-2011i3−i300i3i3−i3−i320-2000i3i3−i3−i30-100100000222-2-2-12-1-12-1-111-2-12-1-1-2011i3−i300i3i3−i3−i320-2000i3i3−i3−i30-100100000
χ22222-2-2-12-1-12-1-111-2-12-1-1-2011i3−i300i3i3−i3−i3-202000−i3−i3i3i30100-100000222-2-2-12-1-12-1-111-2-12-1-1-2011i3−i300i3i3−i3−i3-202000−i3−i3i3i30100-100000222-2-2-12-1-12-1-111-2-12-1-1-2011i3−i300i3i3−i3−i3-202000−i3−i3i3i30100-100000
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χ2522-2-2222-2-2222-2222-2-2-2-20-220000000002000-20000002-200000022-2-2222-2-2222-2222-2-2-2-20-220000000002000-20000002-200000022-2-2222-2-2222-2222-2-2-2-20-220000000002000-20000002-2000000
χ2622-2-2222-2-2222-2222-2-2-2-20-22000000000-20002000000-2200000022-2-2222-2-2222-2222-2-2-2-20-22000000000-20002000000-2200000022-2-2222-2-2222-2222-2-2-2-20-22000000000-20002000000-22000000
χ2722-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−302000-2000000-1103−300022-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−302000-2000000-1103−300022-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−302000-2000000-1103−3000
χ2822-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−30-200020000001-10−3300022-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−30-200020000001-10−3300022-2-222-1-2-2-12-1-22-1-1111101-1003−33−33−30-200020000001-10−33000
χ2922-2-222-1-2-2-12-1-22-1-1111101-100−33−33−3302000-2000000-110−3300022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−3302000-2000000-110−3300022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−3302000-2000000-110−33000
χ3022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−330-200020000001-103−300022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−330-200020000001-103−300022-2-222-1-2-2-12-1-22-1-1111101-100−33−33−330-200020000001-103−3000
χ3144444-2-2-2-2-2-21-2-2-21-211-2411-2-2-2-211110000000000000000000044444-2-2-2-2-2-21-2-2-21-211-2411-2-2-2-211110000000000000000000044444-2-2-2-2-2-21-2-2-21-211-2411-2-2-2-2111100000000000000000000
χ3244444-2-2-2-2-2-21-2-2-21-211-2-4112222-1-1-1-10000000000000000000044444-2-2-2-2-2-21-2-2-21-211-2-4112222-1-1-1-10000000000000000000044444-2-2-2-2-2-21-2-2-21-211-2-4112222-1-1-1-100000000000000000000
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χ3644-44-44-2-4-4-24-24-42-2222-20-22000000000000000000000000000044-44-44-2-4-4-24-24-42-2222-20-22000000000000000000000000000044-44-44-2-4-4-24-24-42-2222-20-220000000000000000000000000000
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χ4044-4-44-24224-2-22-24-2-422-402-2000000000000000000000000000044-4-44-24224-2-22-24-2-422-402-2000000000000000000000000000044-4-44-24224-2-22-24-2-422-402-20000000000000000000000000000
χ4144-4-44-2-222-2-212-2-212-1-120-110023−23−33−330000000000000000000044-4-44-2-222-2-212-2-212-1-120-110023−23−33−330000000000000000000044-4-44-2-222-2-212-2-212-1-120-110023−23−33−3300000000000000000000
χ4244-4-44-2-222-2-212-2-212-1-120-1100−23233−33−30000000000000000000044-4-44-2-222-2-212-2-212-1-120-1100−23233−33−30000000000000000000044-4-44-2-222-2-212-2-212-1-120-1100−23233−33−300000000000000000000
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χ474-4000-242i3−2i3-42-2000202i3−2i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ1100000000004-4000-242i3−2i3-42-2000202i3−2i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ1100000000004-4000-242i3−2i3-42-2000202i3−2i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ110000000000
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χ5311111111111111111111111111111111-1111-11111-11-1-11-1-1-1-1-1−1+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+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+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−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32
χ541111111111111111111111111111111-11-1-1-11-1-1-1-11-111-111-1-1-1−1+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−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−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−i321+i32−1−i32−1−i321+i32−1−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
χ5611111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-1−1+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+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5711111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-11−1+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−i32−1+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−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−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+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ5811111111111111111111-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-11−1+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−i32−1+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+i32−1+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−i321+i32−1−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−i32−1−i321+i321+i321+i321+i321+i32−1−i32
χ5911111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ60222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320−1+i3000−1+i30000−1+i301−i321−i3201−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320−1−i3000−1−i30000−1−i301+i321+i3201+i321+i32000
χ61222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3201−i30001−i300001−i30−1+i32−1+i320−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3201+i30001+i300001+i30−1−i32−1−i320−1−i32−1−i32000
χ62222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320−1+i3000−1+i300001−i301−i321−i320−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320−1−i3000−1−i300001+i301+i321+i320−1−i32−1−i32000
χ63222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3201−i30001−i30000−1+i30−1+i32−1+i3201−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3201+i30001+i30000−1−i30−1−i32−1−i3201+i321+i32000
χ6422222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i30−1+i3−1+i3−1+i301−i321−i321−i321−i3201−i32001−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i30−1−i3−1−i3−1−i301+i321+i321+i321+i3201+i32001+i3200000
χ6522222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-2011110100100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i301−i31−i31−i30−1+i32−1+i32−1+i32−1+i320−1+i3200−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i301+i31+i31+i30−1−i32−1−i32−1−i32−1−i320−1−i3200−1−i3200000
χ6622222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i30−1+i31−i31−i30−1+i32−1+i32−1+i32−1+i3201−i32001−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i30−1−i31+i31+i30−1−i32−1−i32−1−i32−1−i3201+i32001+i3200000
χ6722222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-10100100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i301−i3−1+i3−1+i301−i321−i321−i321−i320−1+i3200−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i301+i3−1−i3−1−i301+i321+i321+i321+i320−1−i3200−1−i3200000
χ68222-2-22222222-2-2-22222-20-2-20000000020-200000000200-200000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i301−i31−i300000000−1+i301−i300000000−1+i3001−i300000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i301+i31+i300000000−1−i301+i300000000−1−i3001+i300000
χ69222-2-22222222-2-2-22222-20-2-200000000-20200000000-200200000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i301−i31−i3000000001−i30−1+i3000000001−i300−1+i300000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i301+i31+i3000000001+i30−1−i3000000001+i300−1−i300000
χ70222-2-2-12-1-12-1-111-2-12-1-1-2011−i3i300−i3−i3i3i320-2000−i3−i3i3i30-100100000−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i32−1+i31−i321−i321−i30−1+i32−1+i323+i32−3−i32003+i323+i32−3−i32−3−i32−1+i301−i30003+i323+i32−3−i32−3−i3201−i3200−1+i3200000−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i32−1−i31+i321+i321+i30−1−i32−1−i32−3+i323−i3200−3+i32−3+i323−i323−i32−1−i301+i3000−3+i32−3+i323−i323−i3201+i3200−1−i3200000
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χ10711111111111111111111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-111-1−1−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−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−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+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ10811111111111111111111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1111-1-11−1−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+i32−1−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+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+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−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
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χ11011111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1−1−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ111222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-1020002000020-1-10-1-1000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320−1−i3000−1−i30000−1−i301+i321+i3201+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320−1+i3000−1+i30000−1+i301−i321−i3201−i321−i32000
χ112222222-122-12-122-1-1-1-1-1-12-1-122-1-1-1-1-1-10-2000-20000-2011011000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3201+i30001+i300001+i30−1−i32−1−i320−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3201−i30001−i300001−i30−1+i32−1+i320−1+i32−1+i32000
χ113222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110200020000-20-1-1011000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320−1−i3000−1−i300001+i301+i321+i320−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320−1+i3000−1+i300001−i301−i321−i320−1+i32−1+i32000
χ114222222-122-12-122-1-1-1-1-1-1-2-1-1-2-21111110-2000-2000020110-1-1000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3201+i30001+i30000−1−i30−1−i32−1−i3201+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3201−i30001−i30000−1+i30−1+i32−1+i3201−i321−i32000
χ11522222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1202220-1-1-1-10-100-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i30−1−i3−1−i3−1−i301+i321+i321+i321+i3201+i32001+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i30−1+i3−1+i3−1+i301−i321−i321−i321−i3201−i32001−i3200000
χ11622222-12-1-12-1-1-1-12-12-1-122-1-1-1-122-1-1-1-1-20-2-2-2011110100100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i301+i31+i31+i30−1−i32−1−i32−1−i32−1−i320−1−i3200−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i301−i31−i31−i30−1+i32−1+i32−1+i32−1+i320−1+i3200−1+i3200000
χ11722222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111202-2-2011110-100-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i30−1−i31+i31+i30−1−i32−1−i32−1−i32−1−i3201+i32001+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i30−1+i31−i31−i30−1+i32−1+i32−1+i32−1+i3201−i32001−i3200000
χ11822222-12-1-12-1-1-1-12-12-1-12-2-1-111-2-21111-20-2220-1-1-1-10100100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i301+i3−1−i3−1−i301+i321+i321+i321+i320−1−i3200−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i301−i3−1+i3−1+i301−i321−i321−i321−i320−1+i3200−1+i3200000
χ119222-2-22222222-2-2-22222-20-2-20000000020-200000000200-200000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i301+i31+i300000000−1−i301+i300000000−1−i3001+i300000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i301−i31−i300000000−1+i301−i300000000−1+i3001−i300000
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χ1484-4000-24−2i32i3-42-200020−2i32i3000000000000000−2i2i0−2ζ112ζ11−2ζ72ζ70000000000−2−2i32+2i30001+i3−2−2i3−3+i33−i32+2i3−1−i31+i3000−1−i30−3+i33−i3000000000000000−2ζ112ζ110−2ζ72ζ7−2i2i0000000000−2+2i32−2i30001−i3−2+2i33+i3−3−i32−2i3−1+i31−i3000−1+i303+i3−3−i3000000000000000−2ζ72ζ70−2i2i−2ζ112ζ110000000000
χ1494-4000-242i3−2i3-42-2000202i3−2i30000000000000002i−2i02ζ7−2ζ72ζ11−2ζ110000000000−2−2i32+2i30001+i3−2−2i33−i3−3+i32+2i3−1−i31+i3000−1−i303−i3−3+i30000000000000002ζ11−2ζ1102i−2i2ζ7−2ζ70000000000−2+2i32−2i30001−i3−2+2i3−3−i33+i32−2i3−1+i31−i3000−1+i30−3−i33+i30000000000000002ζ7−2ζ702ζ11−2ζ112i−2i0000000000
χ1504-4000-242i3−2i3-42-2000202i3−2i3000000000000000−2i2i0−2ζ72ζ7−2ζ112ζ110000000000−2−2i32+2i30001+i3−2−2i33−i3−3+i32+2i3−1−i31+i3000−1−i303−i3−3+i3000000000000000−2ζ112ζ110−2i2i−2ζ72ζ70000000000−2+2i32−2i30001−i3−2+2i3−3−i33+i32−2i3−1+i31−i3000−1+i30−3−i33+i3000000000000000−2ζ72ζ70−2ζ112ζ11−2i2i0000000000
χ1518-80008-4004-8-4000400000000000000000000000000000000000−4−4i34+4i3000−4−4i32+2i300−2−2i34+4i32+2i3000−2−2i300000000000000000000000000000000000−4+4i34−4i3000−4+4i32−2i300−2+2i34−4i32−2i3000−2+2i300000000000000000000000000000000000
χ1528-8000-4-4−4i34i3442000-202i3−2i300000000000000000000000000000000−4−4i34+4i30002+2i32+2i3−6+2i36−2i3−2−2i3−2−2i3−1−i30001+i303−i3−3+i300000000000000000000000000000000−4+4i34−4i30002−2i32−2i36+2i3−6−2i3−2+2i3−2+2i3−1+i30001−i30−3−i33+i300000000000000000000000000000000
χ1538-8000-4-44i3−4i3442000-20−2i32i300000000000000000000000000000000−4−4i34+4i30002+2i32+2i36−2i3−6+2i3−2−2i3−2−2i3−1−i30001+i30−3+i33−i300000000000000000000000000000000−4+4i34−4i30002−2i32−2i3−6−2i36+2i3−2+2i3−2+2i3−1+i30001−i303+i3−3−i300000000000000000000000000000000

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