Finite Group Databasebeta

← Group #13158552

Character table — Group #13158552

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size112222222224444444448888888888812121212121212121212242424242424243636721122222222244444444488888888888121212121212121212122424242424242436367211222222222444444444888888888881212121212121212121224242424242424363672
order12233446666366661212121226666666612122444441212121268121212242424836633121266663666612121212666666666121261212121212121212126241212122424612243663312126666366661212121266666666612126121212121212121212624121212242461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1
χ31111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-11111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-11111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1
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
χ511111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-111-111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-111-111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-111-1
χ611111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111-11-1-1-1-1-1-11
χ711111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11111-1-1111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11111-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-1
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χ1022222-2-2222222222-2-2-2-2000000000-2-200-22000000000-220000022222-2-2222222222-2-2-2-2000000000-2-200-22000000000-220000022222-2-2222222222-2-2-2-2000000000-2-200-22000000000-2200000
χ112222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-12200000000-12-100-1-10002222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-12200000000-12-100-1-10002222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-12200000000-12-100-1-1000
χ122222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-2000000001-2100110002222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-2000000001-2100110002222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-2000000001-210011000
χ132222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-12200000000-1-2-100110002222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-12200000000-1-2-100110002222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-12200000000-1-2-10011000
χ142222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-1-2-20000000012100-1-10002222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-1-2-20000000012100-1-10002222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-1-2-20000000012100-1-1000
χ15222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002222-1-1-1-1000-1-100000222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002222-1-1-1-1000-1-100000222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002222-1-1-1-1000-1-100000
χ16222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-2-2-211110001100000222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-2-2-211110001100000222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-2-2-211110001100000
χ17222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-10022-2-21111000-1-100000222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-10022-2-21111000-1-100000222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-10022-2-21111000-1-100000
χ18222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-100-2-222-1-1-1-10001100000222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-100-2-222-1-1-1-10001100000222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-100-2-222-1-1-1-10001100000
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χ20222-12-2-2-1-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i31100-2200i3i3−i3−i30001-100000222-12-2-2-1-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i31100-2200i3i3−i3−i30001-100000222-12-2-2-1-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i31100-2200i3i3−i3−i30001-100000
χ21222-12-2-2-1-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i311002-200i3i3−i3−i3000-1100000222-12-2-2-1-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i311002-200i3i3−i3−i3000-1100000222-12-2-2-1-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i311002-200i3i3−i3−i3000-1100000
χ22222-12-2-2-1-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i31100-2200−i3−i3i3i30001-100000222-12-2-2-1-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i31100-2200−i3−i3i3i30001-100000222-12-2-2-1-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i31100-2200−i3−i3i3i30001-100000
χ2322-2222-2-2-2222-2-2-22-22-220000000002-22-20000000020-2000000022-2222-2-2-2222-2-2-22-22-220000000002-22-20000000020-2000000022-2222-2-2-2222-2-2-22-22-220000000002-22-20000000020-20000000
χ2422-2222-2-2-2222-2-2-22-22-220000000002-2-2200000000-202000000022-2222-2-2-2222-2-2-22-22-220000000002-2-2200000000-202000000022-2222-2-2-2222-2-2-22-22-220000000002-2-2200000000-2020000000
χ2522-222-22-2-2222-2-2-222-22-2000000000-22000000000000000002-2022-222-22-2-2222-2-2-222-22-2000000000-22000000000000000002-2022-222-22-2-2222-2-2-222-22-2000000000-22000000000000000002-20
χ2622-222-22-2-2222-2-2-222-22-2000000000-2200000000000000000-22022-222-22-2-2222-2-2-222-22-2000000000-2200000000000000000-22022-222-22-2-2222-2-2-222-22-2000000000-2200000000000000000-220
χ2722-22-12-2-2-2-12-1111-112-2-1000−i3i3−i3i3−i3i3-112-200000000-10100−i3i300022-22-12-2-2-2-12-1111-112-2-1000−i3i3−i3i3−i3i3-112-200000000-10100−i3i300022-22-12-2-2-2-12-1111-112-2-1000−i3i3−i3i3−i3i3-112-200000000-10100−i3i3000
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χ314444-2-4-444-24-2-2-2-2-22-4-4200000000022000000000000000000004444-2-4-444-24-2-2-2-2-22-4-4200000000022000000000000000000004444-2-4-444-24-2-2-2-2-22-4-420000000002200000000000000000000
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χ34444-2-2-4-4-2-2-2-21-211122220−2i32i300i3i3−i3−i3-1-100000000000000000000444-2-2-4-4-2-2-2-21-211122220−2i32i300i3i3−i3−i3-1-100000000000000000000444-2-2-4-4-2-2-2-21-211122220−2i32i300i3i3−i3−i3-1-100000000000000000000
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χ3644-44-2-44-4-4-24-2222-2-2-4420000000002-20000000000000000000044-44-2-44-4-4-24-2222-2-2-4420000000002-20000000000000000000044-44-2-44-4-4-24-2222-2-2-4420000000002-200000000000000000000
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χ454-40-2400−2i32i3-42-20−2i32i3200000000000000000002i−2i2ζ7−2ζ72ζ11−2ζ1100000000004-40-2400−2i32i3-42-20−2i32i3200000000000000000002i−2i2ζ7−2ζ72ζ11−2ζ1100000000004-40-2400−2i32i3-42-20−2i32i3200000000000000000002i−2i2ζ7−2ζ72ζ11−2ζ110000000000
χ464-40-2400−2i32i3-42-20−2i32i320000000000000000000−2i2i−2ζ72ζ7−2ζ112ζ1100000000004-40-2400−2i32i3-42-20−2i32i320000000000000000000−2i2i−2ζ72ζ7−2ζ112ζ1100000000004-40-2400−2i32i3-42-20−2i32i320000000000000000000−2i2i−2ζ72ζ7−2ζ112ζ110000000000
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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
χ53111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ541111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−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−i321+i321+i321+i32−1−i32−1−i321+i321+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
χ5611111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-111-1−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5711111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111-11-1-1-1-1-1-11−1+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−i321−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+i32−1+i32−1+i32−1+i321−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−i321+i321+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−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32
χ5811111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11111-1-11−1+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+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−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ5911111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-1−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ6022222-2-2222222222-2-2-2-2000000000-2-2002-20000000002-200000−1+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−i30000000001−i31−i300−1+i31−i3000000000−1+i31−i300000−1−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+i30000000001+i31+i300−1−i31+i3000000000−1−i31+i300000
χ6122222-2-2222222222-2-2-2-2000000000-2-200-22000000000-2200000−1+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−i30000000001−i31−i3001−i3−1+i30000000001−i3−1+i300000−1−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+i30000000001+i31+i3001+i3−1−i30000000001+i3−1−i300000
χ622222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-12200000000-12-100-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000001−i32−1+i31−i32001−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+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000000001+i32−1−i31+i32001+i321+i32000
χ632222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-2000000001-210011000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i300000000−1+i321−i3−1+i3200−1+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+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i300000000−1−i321+i3−1−i3200−1−i32−1−i32000
χ642222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-12200000000-1-2-10011000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i3000000001−i321−i31−i3200−1+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+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i3000000001+i321+i31+i3200−1−i32−1−i32000
χ652222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-1-2-20000000012100-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i300000000−1+i32−1+i3−1+i32001−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+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i300000000−1−i32−1−i3−1−i32001+i321+i32000
χ66222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002222-1-1-1-1000-1-100000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320001−i321−i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320001+i321+i3200000
χ67222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-2-2-211110001100000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32000−1+i32−1+i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32000−1−i32−1−i3200000
χ68222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-10022-2-21111000-1-100000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i3200−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i320001−i321−i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i3200−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i320001+i321+i3200000
χ69222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-100-2-222-1-1-1-10001100000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32001−i31−i3−1+i3−1+i31−i321−i321−i321−i32000−1+i32−1+i3200000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32001+i31+i3−1−i3−1−i31+i321+i321+i321+i32000−1−i32−1−i3200000
χ70222-12-2-2-1-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i311002-200−i3−i3i3i3000-1100000−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i3−1+i32−1+i321−i303+i32−3−i32003+i323+i32−3−i32−3−i32−1+i32−1+i3200−1+i31−i3003+i323+i32−3−i32−3−i320001−i32−1+i3200000−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i3−1−i32−1−i321+i30−3+i323−i3200−3+i32−3+i323−i323−i32−1−i32−1−i3200−1−i31+i300−3+i32−3+i323−i323−i320001+i32−1−i3200000
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χ10911111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11111-1-11−1−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−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+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ11011111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-1−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ11122222-2-2222222222-2-2-2-2000000000-2-2002-20000000002-200000−1−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+i30000000001+i31+i300−1−i31+i3000000000−1−i31+i300000−1+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−i30000000001−i31−i300−1+i31−i3000000000−1+i31−i300000
χ11222222-2-2222222222-2-2-2-2000000000-2-200-22000000000-2200000−1−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+i30000000001+i31+i3001+i3−1−i30000000001+i3−1−i300000−1+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−i30000000001−i31−i3001−i3−1+i30000000001−i3−1+i300000
χ1132222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-12200000000-12-100-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000000001+i32−1−i31+i32001+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−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000001−i32−1+i31−i32001−i321−i32000
χ1142222-12222-12-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-2000000001-210011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i300000000−1−i321+i3−1−i3200−1−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−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i300000000−1+i321−i3−1+i3200−1+i32−1+i32000
χ1152222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-12200000000-1-2-10011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i3000000001+i321+i31+i3200−1−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−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i3000000001−i321−i31−i3200−1+i32−1+i32000
χ1162222-12222-12-1-1-1-1-1-122-1-2-2-2111111-1-1-2-20000000012100-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i300000000−1−i32−1−i3−1−i32001+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−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i300000000−1+i32−1+i3−1+i32001−i321−i32000
χ117222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002222-1-1-1-1000-1-100000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320001+i321+i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320001−i321−i3200000
χ118222-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-2-2-211110001100000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32000−1−i32−1−i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32000−1+i32−1+i3200000
χ119222-1222-1-12-1-12-1-1-12-1-12-211-2-21111-1-10022-2-21111000-1-100000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i3200−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i320001+i321+i3200000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i3200−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i320001−i321−i3200000
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χ1494-40-24002i3−2i3-42-202i3−2i3200000000000000000002i−2i2ζ11−2ζ112ζ7−2ζ70000000000−2−2i32+2i301+i3−2−2i3003−i3−3+i32+2i3−1−i31+i303−i3−3+i3−1−i300000000000000000002ζ11−2ζ112ζ7−2ζ72i−2i0000000000−2+2i32−2i301−i3−2+2i300−3−i33+i32−2i3−1+i31−i30−3−i33+i3−1+i300000000000000000002ζ7−2ζ72i−2i2ζ11−2ζ110000000000
χ1504-40-24002i3−2i3-42-202i3−2i320000000000000000000−2i2i−2ζ112ζ11−2ζ72ζ70000000000−2−2i32+2i301+i3−2−2i3003−i3−3+i32+2i3−1−i31+i303−i3−3+i3−1−i30000000000000000000−2ζ112ζ11−2ζ72ζ7−2i2i0000000000−2+2i32−2i301−i3−2+2i300−3−i33+i32−2i3−1+i31−i30−3−i33+i3−1+i30000000000000000000−2ζ72ζ7−2i2i−2ζ112ζ110000000000
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 12 (ζ12 = 1); i = ζ3.