Finite Group Databasebeta

← Group #13180086

Character table — Group #13180086

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size123336666663232323636363612333666666323232363636361233366666632323236363636123336666663232323636363612333666666323232363636361233366666632323236363636
order132222666669992444336666666669996121212336666666669996121212262222666661818182444666666666661818186121212666666666661818186121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ322222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-10000
χ42-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ500002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ500002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ500002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ500002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ500002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ50000
χ52-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ800002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ800002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ800002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ800002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ800002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ80000
χ62-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ700002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ700002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ700002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ700002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ700002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ70000
χ7333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1
χ8333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111
χ933-13-1-1-13-1-1-10001-11-133-13-1-1-13-1-1-10001-11-133-13-1-1-13-1-1-10001-11-133-13-1-1-13-1-1-10001-11-133-13-1-1-13-1-1-10001-11-133-13-1-1-13-1-1-10001-11-1
χ1033-13-1-1-13-1-1-1000-11-1133-13-1-1-13-1-1-1000-11-1133-13-1-1-13-1-1-1000-11-1133-13-1-1-13-1-1-1000-11-1133-13-1-1-13-1-1-1000-11-1133-13-1-1-13-1-1-1000-11-11
χ1133-1-13-1-1-13-1-10001-1-1133-1-13-1-1-13-1-10001-1-1133-1-13-1-1-13-1-10001-1-1133-1-13-1-1-13-1-10001-1-1133-1-13-1-1-13-1-10001-1-1133-1-13-1-1-13-1-10001-1-11
χ1233-1-13-1-1-13-1-1000-111-133-1-13-1-1-13-1-1000-111-133-1-13-1-1-13-1-1000-111-133-1-13-1-1-13-1-1000-111-133-1-13-1-1-13-1-1000-111-133-1-13-1-1-13-1-1000-111-1
χ1366-2-2-22-2-2-222000000066-2-2-22-2-2-222000000066-2-2-22-2-2-222000000066-2-2-22-2-2-222000000066-2-2-22-2-2-222000000066-2-2-22-2-2-2220000000
χ146-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-311110000000
χ156-3-26-2-21-311100000006-3-26-2-21-311100000006-3-26-2-21-311100000006-3-26-2-21-311100000006-3-26-2-21-311100000006-3-26-2-21-31110000000
χ166-3-2-26-211-31100000006-3-2-26-211-31100000006-3-2-26-211-31100000006-3-2-26-211-31100000006-3-2-26-211-31100000006-3-2-26-211-3110000000
χ176-3-2-2-22111−1+2i3−1−2i300000006-3-2-2-22111−1+2i3−1−2i300000006-3-2-2-22111−1+2i3−1−2i300000006-3-2-2-22111−1+2i3−1−2i300000006-3-2-2-22111−1+2i3−1−2i300000006-3-2-2-22111−1+2i3−1−2i30000000
χ186-3-2-2-22111−1−2i3−1+2i300000006-3-2-2-22111−1−2i3−1+2i300000006-3-2-2-22111−1−2i3−1+2i300000006-3-2-2-22111−1−2i3−1+2i300000006-3-2-2-22111−1−2i3−1+2i300000006-3-2-2-22111−1−2i3−1+2i30000000
χ19111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2011111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i3211111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ2122222222222-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32000022222222222-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000
χ222-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ50000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ2+ζ4ζ+ζ5ζ7+ζ80000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ5+ζ7ζ4+ζ8ζ+ζ200002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ50000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ2+ζ4ζ+ζ5ζ7+ζ80000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ5+ζ7ζ4+ζ8ζ+ζ20000
χ232-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ80000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ+ζ5ζ7+ζ8ζ2+ζ40000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ4+ζ8ζ+ζ2ζ5+ζ700002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ80000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ+ζ5ζ7+ζ8ζ2+ζ40000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ4+ζ8ζ+ζ2ζ5+ζ70000
χ242-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ70000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ7+ζ8ζ2+ζ4ζ+ζ50000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ+ζ2ζ5+ζ7ζ4+ζ800002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ70000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ7+ζ8ζ2+ζ4ζ+ζ50000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ+ζ2ζ5+ζ7ζ4+ζ80000
χ25333-1-1-13-1-1-1-100011-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32333-1-1-13-1-1-1-100011-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32
χ26333-1-1-13-1-1-1-1000-1-111−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32333-1-1-13-1-1-1-1000-1-111−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32
χ2733-13-1-1-13-1-1-10001-11-1−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i32000−1+i321−i32−1+i321−i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i32000−1−i321+i32−1−i321+i3233-13-1-1-13-1-1-10001-11-1−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i32000−1+i321−i32−1+i321−i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i32000−1−i321+i32−1−i321+i32
χ2833-13-1-1-13-1-1-1000-11-11−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i320001−i32−1+i321−i32−1+i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i320001+i32−1−i321+i32−1−i3233-13-1-1-13-1-1-1000-11-11−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i320001−i32−1+i321−i32−1+i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i320001+i32−1−i321+i32−1−i32
χ2933-1-13-1-1-13-1-10001-1-11−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i32000−1+i321−i321−i32−1+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i32000−1−i321+i321+i32−1−i3233-1-13-1-1-13-1-10001-1-11−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i32000−1+i321−i321−i32−1+i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i32000−1−i321+i321+i32−1−i32
χ3033-1-13-1-1-13-1-1000-111-1−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i320001−i32−1+i32−1+i321−i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i320001+i32−1−i32−1−i321+i3233-1-13-1-1-13-1-1000-111-1−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i320001−i32−1+i32−1+i321−i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i320001+i32−1−i32−1−i321+i32
χ3166-2-2-22-2-2-2220000000−3+3i3−3+3i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000000−3−3i3−3−3i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000066-2-2-22-2-2-2220000000−3+3i3−3+3i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000000−3−3i3−3−3i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000000
χ326-36-2-2-2-311110000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i3200000006-36-2-2-2-311110000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000
χ336-3-26-2-21-31110000000−3+3i33−3i321−i3−3+3i31−i31−i3−1+i323−3i32−1+i32−1+i32−1+i320000000−3−3i33+3i321+i3−3−3i31+i31+i3−1−i323+3i32−1−i32−1−i32−1−i3200000006-3-26-2-21-31110000000−3+3i33−3i321−i3−3+3i31−i31−i3−1+i323−3i32−1+i32−1+i32−1+i320000000−3−3i33+3i321+i3−3−3i31+i31+i3−1−i323+3i32−1−i32−1−i32−1−i320000000
χ346-3-2-26-211-3110000000−3+3i33−3i321−i31−i3−3+3i31−i3−1+i32−1+i323−3i32−1+i32−1+i320000000−3−3i33+3i321+i31+i3−3−3i31+i3−1−i32−1−i323+3i32−1−i32−1−i3200000006-3-2-26-211-3110000000−3+3i33−3i321−i31−i3−3+3i31−i3−1+i32−1+i323−3i32−1+i32−1+i320000000−3−3i33+3i321+i31+i3−3−3i31+i3−1−i32−1−i323+3i32−1−i32−1−i320000000
χ356-3-2-2-22111−1+2i3−1−2i30000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i32−5−3i327+i320000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i327−i32−5+3i3200000006-3-2-2-22111−1+2i3−1−2i30000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i32−5−3i327+i320000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i327−i32−5+3i320000000
χ366-3-2-2-22111−1−2i3−1+2i30000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i327+i32−5−3i320000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i32−5+3i327−i3200000006-3-2-2-22111−1−2i3−1+2i30000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i327+i32−5−3i320000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i32−5+3i327−i320000000
χ37111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3811111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i3211111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32
χ3922222222222-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32000022222222222-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000
χ402-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ50000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ5+ζ7ζ4+ζ8ζ+ζ20000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ2+ζ4ζ+ζ5ζ7+ζ800002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ50000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ5+ζ7ζ4+ζ8ζ+ζ20000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ2+ζ4ζ+ζ5ζ7+ζ80000
χ412-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ80000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ4+ζ8ζ+ζ2ζ5+ζ70000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ+ζ5ζ7+ζ8ζ2+ζ400002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ80000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ4+ζ8ζ+ζ2ζ5+ζ70000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ+ζ5ζ7+ζ8ζ2+ζ40000
χ422-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ70000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ+ζ2ζ5+ζ7ζ4+ζ80000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ7+ζ8ζ2+ζ4ζ+ζ500002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ70000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32ζ+ζ2ζ5+ζ7ζ4+ζ80000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32ζ7+ζ8ζ2+ζ4ζ+ζ50000
χ43333-1-1-13-1-1-1-100011-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32333-1-1-13-1-1-1-100011-1-1−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000−1+i32−1+i321−i321−i32
χ44333-1-1-13-1-1-1-1000-1-111−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32333-1-1-13-1-1-1-1000-1-111−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32
χ4533-13-1-1-13-1-1-10001-11-1−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i32000−1−i321+i32−1−i321+i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i32000−1+i321−i32−1+i321−i3233-13-1-1-13-1-1-10001-11-1−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i32000−1−i321+i32−1−i321+i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i32000−1+i321−i32−1+i321−i32
χ4633-13-1-1-13-1-1-1000-11-11−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i320001+i32−1−i321+i32−1−i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i320001−i32−1+i321−i32−1+i3233-13-1-1-13-1-1-1000-11-11−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i320001+i32−1−i321+i32−1−i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i320001−i32−1+i321−i32−1+i32
χ4733-1-13-1-1-13-1-10001-1-11−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i32000−1−i321+i321+i32−1−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i32000−1+i321−i321−i32−1+i3233-1-13-1-1-13-1-10001-1-11−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i32000−1−i321+i321+i32−1−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i32000−1+i321−i321−i32−1+i32
χ4833-1-13-1-1-13-1-1000-111-1−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i320001+i32−1−i32−1−i321+i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i320001−i32−1+i32−1+i321−i3233-1-13-1-1-13-1-1000-111-1−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i320001+i32−1−i32−1−i321+i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i320001−i32−1+i32−1+i321−i32
χ4966-2-2-22-2-2-2220000000−3−3i3−3−3i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000000−3+3i3−3+3i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000066-2-2-22-2-2-2220000000−3−3i3−3−3i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000000−3+3i3−3+3i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000000
χ506-36-2-2-2-311110000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i3200000006-36-2-2-2-311110000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000
χ516-3-26-2-21-31110000000−3−3i33+3i321+i3−3−3i31+i31+i3−1−i323+3i32−1−i32−1−i32−1−i320000000−3+3i33−3i321−i3−3+3i31−i31−i3−1+i323−3i32−1+i32−1+i32−1+i3200000006-3-26-2-21-31110000000−3−3i33+3i321+i3−3−3i31+i31+i3−1−i323+3i32−1−i32−1−i32−1−i320000000−3+3i33−3i321−i3−3+3i31−i31−i3−1+i323−3i32−1+i32−1+i32−1+i320000000
χ526-3-2-26-211-3110000000−3−3i33+3i321+i31+i3−3−3i31+i3−1−i32−1−i323+3i32−1−i32−1−i320000000−3+3i33−3i321−i31−i3−3+3i31−i3−1+i32−1+i323−3i32−1+i32−1+i3200000006-3-2-26-211-3110000000−3−3i33+3i321+i31+i3−3−3i31+i3−1−i32−1−i323+3i32−1−i32−1−i320000000−3+3i33−3i321−i31−i3−3+3i31−i3−1+i32−1+i323−3i32−1+i32−1+i320000000
χ536-3-2-2-22111−1+2i3−1−2i30000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i327−i32−5+3i320000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i32−5−3i327+i3200000006-3-2-2-22111−1+2i3−1−2i30000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i327−i32−5+3i320000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i32−5−3i327+i320000000
χ546-3-2-2-22111−1−2i3−1+2i30000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i32−5+3i327−i320000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i327+i32−5−3i3200000006-3-2-2-22111−1−2i3−1+2i30000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i32−5+3i327−i320000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i327+i32−5−3i320000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5722222222222-1-1-1000022222222222-1-1-1000022222222222-1-1-10000-2-2-2-2-2-2-2-2-2-2-21110000-2-2-2-2-2-2-2-2-2-2-21110000-2-2-2-2-2-2-2-2-2-2-21110000
χ582-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ500002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ500002-12222-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ50000-21-2-2-2-211111−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000-21-2-2-2-211111−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000-21-2-2-2-211111−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000
χ592-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ800002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ800002-12222-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ80000-21-2-2-2-211111−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000-21-2-2-2-211111−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000-21-2-2-2-211111−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000
χ602-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ700002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ700002-12222-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ70000-21-2-2-2-211111−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000-21-2-2-2-211111−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000-21-2-2-2-211111−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000
χ61333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1333-1-1-13-1-1-1-100011-1-1-3-3-3111-31111000-1-111-3-3-3111-31111000-1-111-3-3-3111-31111000-1-111
χ62333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111333-1-1-13-1-1-1-1000-1-111-3-3-3111-3111100011-1-1-3-3-3111-3111100011-1-1-3-3-3111-3111100011-1-1
χ6333-13-1-1-13-1-1-10001-11-133-13-1-1-13-1-1-10001-11-133-13-1-1-13-1-1-10001-11-1-3-31-3111-3111000-11-11-3-31-3111-3111000-11-11-3-31-3111-3111000-11-11
χ6433-13-1-1-13-1-1-1000-11-1133-13-1-1-13-1-1-1000-11-1133-13-1-1-13-1-1-1000-11-11-3-31-3111-31110001-11-1-3-31-3111-31110001-11-1-3-31-3111-31110001-11-1
χ6533-1-13-1-1-13-1-10001-1-1133-1-13-1-1-13-1-10001-1-1133-1-13-1-1-13-1-10001-1-11-3-311-3111-311000-111-1-3-311-3111-311000-111-1-3-311-3111-311000-111-1
χ6633-1-13-1-1-13-1-1000-111-133-1-13-1-1-13-1-1000-111-133-1-13-1-1-13-1-1000-111-1-3-311-3111-3110001-1-11-3-311-3111-3110001-1-11-3-311-3111-3110001-1-11
χ6766-2-2-22-2-2-222000000066-2-2-22-2-2-222000000066-2-2-22-2-2-2220000000-6-6222-2222-2-20000000-6-6222-2222-2-20000000-6-6222-2222-2-20000000
χ686-36-2-2-2-3111100000006-36-2-2-2-3111100000006-36-2-2-2-311110000000-63-62223-1-1-1-10000000-63-62223-1-1-1-10000000-63-62223-1-1-1-10000000
χ696-3-26-2-21-311100000006-3-26-2-21-311100000006-3-26-2-21-31110000000-632-622-13-1-1-10000000-632-622-13-1-1-10000000-632-622-13-1-1-10000000
χ706-3-2-26-211-31100000006-3-2-26-211-31100000006-3-2-26-211-3110000000-6322-62-1-13-1-10000000-6322-62-1-13-1-10000000-6322-62-1-13-1-10000000
χ716-3-2-2-22111−1+2i3−1−2i300000006-3-2-2-22111−1+2i3−1−2i300000006-3-2-2-22111−1+2i3−1−2i30000000-63222-2-1-1-11−2i31+2i30000000-63222-2-1-1-11−2i31+2i30000000-63222-2-1-1-11−2i31+2i30000000
χ726-3-2-2-22111−1−2i3−1+2i300000006-3-2-2-22111−1−2i3−1+2i300000006-3-2-2-22111−1−2i3−1+2i30000000-63222-2-1-1-11+2i31−2i30000000-63222-2-1-1-11+2i31−2i30000000-63222-2-1-1-11+2i31−2i30000000
χ73111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
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χ7522222222222-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i320000-2-2-2-2-2-2-2-2-2-2-211100001−i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i3200001+i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i320000
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χ8433-1-13-1-1-13-1-1000-111-1−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i320001−i32−1+i32−1+i321−i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i320001+i32−1−i32−1−i321+i32-3-311-3111-3110001-1-113−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i32000−1+i321−i321−i32−1+i323+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i32000−1−i321+i321+i32−1−i32
χ8566-2-2-22-2-2-2220000000−3+3i3−3+3i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000000−3−3i3−3−3i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000000-6-6222-2222-2-200000003−3i33−3i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i300000003+3i33+3i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i30000000
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χ10033-13-1-1-13-1-1-1000-11-11−3−3i32−3−3i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i320001+i32−1−i321+i32−1−i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i320001−i32−1+i321−i32−1+i32-3-31-3111-31110001-11-13+3i323+3i32−1−i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i32000−1−i321+i32−1−i321+i323−3i323−3i32−1+i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i32000−1+i321−i32−1+i321−i32
χ10133-1-13-1-1-13-1-10001-1-11−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i32000−1−i321+i321+i32−1−i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i32000−1+i321−i321−i32−1+i32-3-311-3111-311000-111-13+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i320001+i32−1−i32−1−i321+i323−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i320001−i32−1+i32−1+i321−i32
χ10233-1-13-1-1-13-1-1000-111-1−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−3−3i321+i321+i320001+i32−1−i32−1−i321+i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−3+3i321−i321−i320001−i32−1+i32−1+i321−i32-3-311-3111-3110001-1-113+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i323+3i32−1−i32−1−i32000−1−i321+i321+i32−1−i323−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i323−3i32−1+i32−1+i32000−1+i321−i321−i32−1+i32
χ10366-2-2-22-2-2-2220000000−3−3i3−3−3i31+i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000000−3+3i3−3+3i31−i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000000-6-6222-2222-2-200000003+3i33+3i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i300000003−3i33−3i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i30000000
χ1046-36-2-2-2-311110000000−3−3i33+3i32−3−3i31+i31+i31+i33+3i32−1−i32−1−i32−1−i32−1−i320000000−3+3i33−3i32−3+3i31−i31−i31−i33−3i32−1+i32−1+i32−1+i32−1+i320000000-63-62223-1-1-1-100000003+3i3−3−3i323+3i3−1−i3−1−i3−1−i3−3−3i321+i321+i321+i321+i3200000003−3i3−3+3i323−3i3−1+i3−1+i3−1+i3−3+3i321−i321−i321−i321−i320000000
χ1056-3-26-2-21-31110000000−3−3i33+3i321+i3−3−3i31+i31+i3−1−i323+3i32−1−i32−1−i32−1−i320000000−3+3i33−3i321−i3−3+3i31−i31−i3−1+i323−3i32−1+i32−1+i32−1+i320000000-632-622-13-1-1-100000003+3i3−3−3i32−1−i33+3i3−1−i3−1−i31+i32−3−3i321+i321+i321+i3200000003−3i3−3+3i32−1+i33−3i3−1+i3−1+i31−i32−3+3i321−i321−i321−i320000000
χ1066-3-2-26-211-3110000000−3−3i33+3i321+i31+i3−3−3i31+i3−1−i32−1−i323+3i32−1−i32−1−i320000000−3+3i33−3i321−i31−i3−3+3i31−i3−1+i32−1+i323−3i32−1+i32−1+i320000000-6322-62-1-13-1-100000003+3i3−3−3i32−1−i3−1−i33+3i3−1−i31+i321+i32−3−3i321+i321+i3200000003−3i3−3+3i32−1+i3−1+i33−3i3−1+i31−i321−i32−3+3i321−i321−i320000000
χ1076-3-2-2-22111−1+2i3−1−2i30000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i327−i32−5+3i320000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i32−5−3i327+i320000000-63222-2-1-1-11−2i31+2i300000003+3i3−3−3i32−1−i3−1−i3−1−i31+i31+i321+i321+i32−7+i325−3i3200000003−3i3−3+3i32−1+i3−1+i3−1+i31−i31−i321−i321−i325+3i32−7−i320000000
χ1086-3-2-2-22111−1−2i3−1+2i30000000−3−3i33+3i321+i31+i31+i3−1−i3−1−i32−1−i32−1−i32−5+3i327−i320000000−3+3i33−3i321−i31−i31−i3−1+i3−1+i32−1+i32−1+i327+i32−5−3i320000000-63222-2-1-1-11+2i31−2i300000003+3i3−3−3i32−1−i3−1−i3−1−i31+i31+i321+i321+i325−3i32−7+i3200000003−3i3−3+3i32−1+i3−1+i3−1+i31−i31−i321−i321−i32−7−i325+3i320000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.