Finite Group Databasebeta

← Group #11757859

Character table — Group #11757859

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111111333333333333333999999999999999999999999999999121212121212121212121212121212121212363636363636363636363636
order133333333233333366666666666666999999181818181818181818181818181818181818999999999999999999333333999999
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
χ101111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ121111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ131111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321
χ141111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32
χ151111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ161111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32
χ171111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ181111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+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−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32
χ191111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ201111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ221111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32
χ231111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32
χ241111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ251111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321
χ261111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ271111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32
χ28333333333-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ29333333333-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3+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
χ30333333333-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000
χ31333333333-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+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
χ32333333333-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3−3i323−3−3i323−3+3i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−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+i32−3−3i323−3+3i32−3+3i32−3−3i3231+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-1000000000000000000000000000000
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−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
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−i32−3+3i323−3−3i32−3−3i32−3+3i3231−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-1000000000000000000000000000000
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−i32−3−3i32−3+3i323−3+3i323−3−3i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32000000000000000000000000000000
χ37333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32300000033−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000003ζ23ζ53ζ80003ζ3ζ43ζ7000000000000000
χ38333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32300000033−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000003ζ53ζ83ζ20003ζ73ζ3ζ4000000000000000
χ39333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32300000033−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000003ζ83ζ23ζ50003ζ43ζ73ζ000000000000000
χ40333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32300000033−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000003ζ3ζ73ζ40003ζ53ζ23ζ8000000000000000
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χ493−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-13−3+3i32−3−3i323−3+3i32−3−3i321−i321+i321−i321+i321+i321−i32-1-1-11−i321+i32-11−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
χ503−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-13−3+3i32−3−3i323−3+3i32−3−3i321−i321+i321−i321+i321+i321−i32-1-1-11−i321+i32-11−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
χ513−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-13−3+3i32−3−3i323−3+3i32−3−3i321−i321+i321−i321+i321+i321−i32-1-1-11−i321+i32-11−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
χ523−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-1−3+3i32−3−3i323−3−3i323−3+3i321−i321+i321−i321+i321+i321−i32-1-11−i321+i32-11+i32-11−i320000002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000000000000000000000000
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χ563−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-1−3−3i323−3+3i32−3+3i32−3−3i3231−i321+i321−i321+i321+i321−i32-1-11+i32-11−i321−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
χ573−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-1−3−3i323−3+3i32−3+3i32−3−3i3231−i321+i321−i321+i321+i321−i32-1-11+i32-11−i321−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
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χ703−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-13−3−3i32−3+3i323−3−3i32−3+3i321+i321−i321+i321−i321−i321+i32-1-1-11+i321−i32-11+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
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χ743−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-1−3+3i323−3−3i32−3−3i32−3+3i3231+i321−i321+i321−i321−i321+i32-1-11−i32-11+i321+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
χ753−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-1−3+3i323−3−3i32−3−3i32−3+3i3231+i321−i321+i321−i321−i321+i32-1-11−i32-11+i321+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
χ763−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-1−3−3i32−3+3i323−3+3i323−3−3i321+i321−i321+i321−i321−i321+i32-1-11+i321−i32-11−i32-11+i320000002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000000000000000000000000000000
χ773−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-1−3−3i32−3+3i323−3+3i323−3−3i321+i321−i321+i321−i321−i321+i32-1-11+i321−i32-11−i32-11+i32000000−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3000000000000000000000000000000
χ783−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-1−3−3i32−3+3i323−3+3i323−3−3i321+i321−i321+i321−i321−i321+i32-1-11+i321−i32-11−i32-11+i32000000−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32000000000000000000000000000000
χ79999−9+9i32−9+9i32−9−9i32−9−9i32−9+9i32−9−9i32-3000000-3-33−3i323−3i323+3i323+3i323−3i323+3i32000000000000000000000000000000000000000000000000000000000000
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χ819−9+9i32−9−9i329−9+9i329−9−9i32−9−9i32−9+9i32-30000003−3i323+3i32-33−3i32-33+3i323+3i323−3i32000000000000000000000000000000000000000000000000000000000000
χ829−9+9i32−9−9i32−9−9i329−9+9i329−9+9i32−9−9i32-30000003−3i323+3i323+3i32-33−3i32-33−3i323+3i32000000000000000000000000000000000000000000000000000000000000
χ839−9−9i32−9+9i329−9−9i329−9+9i32−9+9i32−9−9i32-30000003+3i323−3i32-33+3i32-33−3i323−3i323+3i32000000000000000000000000000000000000000000000000000000000000
χ849−9−9i32−9+9i32−9+9i329−9−9i329−9−9i32−9+9i32-30000003+3i323−3i323−3i32-33+3i32-33+3i323−3i32000000000000000000000000000000000000000000000000000000000000

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