Finite Group Databasebeta

← Group #11757457

Character table — Group #11757457

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111111333333333333333999999999999999999999999999999121212121212121212121212121212121212363636363636363636363636
order133333333233333366666666666666999999181818181818181818181818181818181818999999999999999999999999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ5111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111
χ6111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ7111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ8111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ9111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111
χ101−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8
χ111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5
χ121−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2
χ131−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζ4ζ7ζζ8ζ2ζ5ζ7ζζ4ζ5ζ8ζ2
χ141−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζ7ζζ4ζ5ζ8ζ2ζζ4ζ7ζ2ζ5ζ8
χ151−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζζ4ζ7ζ2ζ5ζ8ζ4ζ7ζζ8ζ2ζ5
χ161−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζ7ζζ4ζ5ζ8ζ2ζ4ζ7ζζ8ζ2ζ5
χ171−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζζ4ζ7ζ2ζ5ζ8ζ7ζζ4ζ5ζ8ζ2
χ181−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζ4ζ7ζζ8ζ2ζ5ζζ4ζ7ζ2ζ5ζ8
χ191−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ7
χ201−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ4
χ211−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ
χ221−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ5ζ2ζ8ζζ7ζ4ζ8ζ5ζ2ζ7ζ4ζ
χ231−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ8ζ5ζ2ζ7ζ4ζζ2ζ8ζ5ζ4ζζ7
χ241−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ2ζ8ζ5ζ4ζζ7ζ5ζ2ζ8ζζ7ζ4
χ251−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ8ζ5ζ2ζ7ζ4ζζ5ζ2ζ8ζζ7ζ4
χ261−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ2ζ8ζ5ζ4ζζ7ζ8ζ5ζ2ζ7ζ4ζ
χ271−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ5ζ2ζ8ζζ7ζ4ζ2ζ8ζ5ζ4ζζ7
χ283333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000
χ293333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000
χ30333333333-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ31333333333-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000
χ32333333333-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000
χ33333333333-1−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i320000002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000000000000000
χ34333333333-1−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32000000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3000000000000000000000000000000
χ35333333333-1−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32000000−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32000000000000000000000000000000
χ36333333333-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i320000002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000000000000000000
χ37333333333-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i32000000−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32000000000000000000000000000000
χ38333333333-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i32000000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3000000000000000000000000000000
χ39333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32300000033−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i320000000000000000000000000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000
χ40333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32300000033−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32000000000000000000000000000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000
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χ473−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-133−3+3i32−3+3i32−3−3i32−3−3i321−i321+i32-1-11−i321+i321−i321+i32-1-11−i321−i321+i321+i323−3+3i32−3−3i323−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000000
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χ543−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1−3−3i32−3+3i323−3−3i32−3+3i3231−i321+i32-1-11−i321+i321−i321+i321+i321−i32-11+i321−i32-1000000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000000000000000000000000000000
χ553−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1−3−3i32−3+3i323−3−3i32−3+3i3231−i321+i32-1-11−i321+i321−i321+i321+i321−i32-11+i321−i32-1000000−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000000000000000000000000000000
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χ763−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32333000000−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233000000000000000000000000000000i33−i32−3−i323−i32−3−i32i3−3−i32i33−i32−i33+i32−3+i32−3+i32−i33+i323+i32−3+i32−i3000000000000
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χ819−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i3299-30000003−3i323+3i323−3i323+3i323+3i323−3i32-3-3000000000000000000000000000000000000000000000000000000000000
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χ839−9−9i32−9+9i32−9+9i32−9−9i3299−9+9i32−9−9i32-30000003+3i323−3i323−3i323+3i32-3-33−3i323+3i32000000000000000000000000000000000000000000000000000000000000
χ849−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i3299-30000003+3i323−3i323+3i323−3i323−3i323+3i32-3-3000000000000000000000000000000000000000000000000000000000000

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