Finite Group Databasebeta

← Group #13153521

Character table — Group #13153521

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11222223333444444444666666666666888888121212121212121212121212121212121212121212181818181818181818181818181818181818242424242424242424242424242424242424363636363636363636363636363636
order12234463366244468812126699912121212181818612121224246612121212121218181824242424363636363636224466668812121212242424241818183636363636363636367272727272722224666666812122424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-11-1-11111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1
χ41111111111111-1-11-1-11111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111
χ511111111111-1-1111-1-111111111111111-1-111-1-1-1-1-1-11111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-1
χ611111111111-1-1111-1-111111111111111-1-111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11-1-111
χ711111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111
χ811111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1
χ91111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32
χ101111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321−i32-11+i321−i321+i321−i32
χ111111111−1−i32−1+i32−1−i32−1+i3211-1-11-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32-11+i321−i321+i321−i32
χ121111111−1−i32−1+i32−1−i32−1+i3211-1-11-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32
χ131111111−1−i32−1+i32−1−i32−1+i32-1-1111-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1+i32-1−1−i32−1+i321+i321−i32
χ141111111−1−i32−1+i32−1−i32−1+i32-1-1111-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321−i3211+i321−i32−1−i32−1+i32
χ151111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321−i3211+i321−i32−1−i32−1+i32
χ161111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1111+i321−i321+i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1−1−i32−1+i321+i321−i32
χ171111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32
χ181111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321+i32-11−i321+i321−i321+i32
χ191111111−1+i32−1−i32−1+i32−1−i3211-1-11-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32-11−i321+i321−i321+i32
χ201111111−1+i32−1−i32−1+i32−1−i3211-1-11-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32
χ211111111−1+i32−1−i32−1+i32−1−i32-1-1111-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1−i32-1−1+i32−1−i321−i321+i32
χ221111111−1+i32−1−i32−1+i32−1−i32-1-1111-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321+i3211−i321+i32−1+i32−1−i32
χ231111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321+i3211−i321+i32−1+i32−1−i32
χ241111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1111−i321+i321−i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1−1+i32−1−i321−i321+i32
χ2511-11-11111111-11-1-11-1-11-1-1111-1-1111111-11-11-111-1-11-11-1-1-1-11-11-1-1-1-11111-11-11-11-1111-11-11111111-1-1-11-11-11-11-11-11-11-1-111-11-1-1-1-111-1-1
χ2611-11-11111111-11-1-11-1-11-1-1111-1-1111111-11-11-111-1-11-11-1-1-1-11-11-1-1-1-1111-11-11-11-11-1-1-11-11-1-1-1-1111-1-1-11-11-11-11-11-11-1-111-1-11-11111-1-111
χ2711-11-11111111-1-11-1-11-11-1-1111-1-1111111-1-11-1111-1-1-11-11-1-1-1-11-11-1-1-11111-11-11-11-1-1-11-11-1-1-1-1-1111-1-1-1-11-11-11-11-11-111-11-11-11-1111-1-111
χ2811-11-11111111-1-11-1-11-11-1-1111-1-1111111-1-11-1111-1-1-11-11-1-1-1-11-11-1-1-1111-11-11-11-1111-11-111111111-1-1-1-11-11-11-11-11-11-11-11-11-11-1-1-111-1-1
χ2911-11-1111111-111-1-1-11-11-1-1111-1-111111-111-1-11-1-1111-11-1-1-1-1-11-11-1-1-11111-11-11-11-1-1-11-11-1-1-1-1-1-1-1-11111-11-11-1-11-11-11-11-11-11-11-1-111111
χ3011-11-1111111-111-1-1-11-11-1-1111-1-111111-111-1-11-1-1111-11-1-1-1-1-11-11-1-1-1111-11-11-11-1111-11-111111-1-1-11111-11-11-1-11-11-111-11-11-11-111-1-1-1-1-1
χ3111-11-1111111-11-11-11-1-11-1-1111-1-111111-11-111-1-1-111-11-11-1-1-11-11-1-1-1-11111-11-11-11-1111-11-11111-1-1-1111-11-11-111-11-11-1-111-1-11-1111-1-1-1-1-1
χ3211-11-1111111-11-11-11-1-11-1-1111-1-111111-11-111-1-1-111-11-11-1-1-11-11-1-1-1-1111-11-11-11-11-1-1-11-11-1-1-1-1-1-1-1111-11-11-111-11-11-11-1-111-11-1-1-111111
χ3311-11-111−1−i32−1+i32−1−i32−1+i321-11-1-11-1-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i321-11-11-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-11+i321−i32−1−i321+i32−1+i321−i32-11+i321−i321−1−i32−1+i321-11-1−1−i321+i32−1+i321−i3211−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i321-1-11−1−i321+i32−1+i321−i321+i321−i32-1−1−i32−1+i321+i321−i32
χ3411-11-111−1−i32−1+i32−1−i32−1+i321-11-1-11-1-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i321-11-11-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-11+i321−i32−1−i321+i32−1+i321−i32-11+i321−i321−1−i32−1+i32-11-111+i32−1−i321−i32−1+i32-1-11+i32−1−i321−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-11+i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32-111-11+i32−1−i321−i32−1+i32−1−i32−1+i3211+i321−i32−1−i32−1+i32
χ3511-11-111−1−i32−1+i32−1−i32−1+i321-1-11-1-11-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i321-1-11-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32-11+i321−i321+i32−1−i321−i32−1+i32-11+i321−i321−1−i32−1+i321-11-1−1−i321+i32−1+i321−i32-1-1−1−i321+i32−1+i321−i321+i321+i321−i321−i321−1−i32−1+i32-11+i321−i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i3211+i321−i32−1−i32−1+i32
χ3611-11-111−1−i32−1+i32−1−i32−1+i321-1-11-1-11-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i321-1-11-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32-11+i321−i321+i32−1−i321−i32−1+i32-11+i321−i321−1−i32−1+i32-11-111+i32−1−i321−i32−1+i32111+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i32-1−1−i32−1+i321+i321−i32
χ3711-11-111−1−i32−1+i32−1−i32−1+i32-111-1-1-11-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i32-111-1-111+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32-11+i321−i321+i32−1−i321−i32−1+i32-11+i321−i321−1−i32−1+i321-11-1−1−i321+i32−1+i321−i32-1-1−1−i321+i32−1+i321−i321+i321+i321−i321−i32-11+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i321−1−i32−1+i32−1−i32−1+i32
χ3811-11-111−1−i32−1+i32−1−i32−1+i32-111-1-1-11-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i32-111-1-111+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32-11+i321−i321+i32−1−i321−i32−1+i32-11+i321−i321−1−i32−1+i32-11-111+i32−1−i321−i32−1+i32111+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32-11+i321−i321+i321−i32
χ3911-11-111−1−i32−1+i32−1−i32−1+i32-11-11-11-1-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i32-11-111-11+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i32-11+i321−i321−1−i32−1+i321-11-1−1−i321+i32−1+i321−i3211−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i32-111+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32-111-11+i32−1−i321−i32−1+i32−1−i32−1+i32-11+i321−i321+i321−i32
χ4011-11-111−1−i32−1+i32−1−i32−1+i32-11-11-11-1-111+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321−1−i32−1+i32-11-111-11+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i32-11+i321−i321−1−i32−1+i32-11-111+i32−1−i321−i32−1+i32-1-11+i32−1−i321−i32−1+i321+i321+i321−i321−i32-11+i321−i321−1−i32−1+i32-111+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i321-1-11−1−i321+i32−1+i321−i321+i321−i321−1−i32−1+i32−1−i32−1+i32
χ4111-11-111−1+i32−1−i32−1+i32−1−i321-11-1-11-1-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i321-11-11-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-11−i321+i32−1+i321−i32−1−i321+i32-11−i321+i321−1+i32−1−i321-11-1−1+i321−i32−1−i321+i3211−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i321-1-11−1+i321−i32−1−i321+i321−i321+i32-1−1+i32−1−i321−i321+i32
χ4211-11-111−1+i32−1−i32−1+i32−1−i321-11-1-11-1-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i321-11-11-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-11−i321+i32−1+i321−i32−1−i321+i32-11−i321+i321−1+i32−1−i32-11-111−i32−1+i321+i32−1−i32-1-11−i32−1+i321+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-11−i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32-111-11−i32−1+i321+i32−1−i32−1+i32−1−i3211−i321+i32−1+i32−1−i32
χ4311-11-111−1+i32−1−i32−1+i32−1−i321-1-11-1-11-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i321-1-11-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32-11−i321+i321−i32−1+i321+i32−1−i32-11−i321+i321−1+i32−1−i321-11-1−1+i321−i32−1−i321+i32-1-1−1+i321−i32−1−i321+i321−i321−i321+i321+i321−1+i32−1−i32-11−i321+i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i3211−i321+i32−1+i32−1−i32
χ4411-11-111−1+i32−1−i32−1+i32−1−i321-1-11-1-11-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i321-1-11-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32-11−i321+i321−i32−1+i321+i32−1−i32-11−i321+i321−1+i32−1−i32-11-111−i32−1+i321+i32−1−i32111−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i32-1−1+i32−1−i321−i321+i32
χ4511-11-111−1+i32−1−i32−1+i32−1−i32-111-1-1-11-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i32-111-1-111−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32-11−i321+i321−i32−1+i321+i32−1−i32-11−i321+i321−1+i32−1−i321-11-1−1+i321−i32−1−i321+i32-1-1−1+i321−i32−1−i321+i321−i321−i321+i321+i32-11−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i321−1+i32−1−i32−1+i32−1−i32
χ4611-11-111−1+i32−1−i32−1+i32−1−i32-111-1-1-11-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i32-111-1-111−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32-11−i321+i321−i32−1+i321+i32−1−i32-11−i321+i321−1+i32−1−i32-11-111−i32−1+i321+i32−1−i32111−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32-11−i321+i321−i321+i32
χ4711-11-111−1+i32−1−i32−1+i32−1−i32-11-11-11-1-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i32-11-111-11−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i32-11−i321+i321−1+i32−1−i321-11-1−1+i321−i32−1−i321+i3211−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i32-111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32-111-11−i32−1+i321+i32−1−i32−1+i32−1−i32-11−i321+i321−i321+i32
χ4811-11-111−1+i32−1−i32−1+i32−1−i32-11-11-11-1-111−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−1+i32−1−i32-11-111-11−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i32-11−i321+i321−1+i32−1−i32-11-111−i32−1+i321+i32−1−i32-1-11−i32−1+i321+i32−1−i321−i321−i321+i321+i32-11−i321+i321−1+i32−1−i32-111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i321-1-11−1+i321−i32−1−i321+i321−i321+i321−1+i32−1−i32−1+i32−1−i32
χ492222222222222222222222-1-1-12222-1-1-122222222222222-1-1-12222-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ502222222222222-2-22-2-22222-1-1-12222-1-1-122-2-2-2-22222-2-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1111111111111000000000000000
χ5122222222222-2-2222-2-22222-1-1-12222-1-1-1-2-222-2-2-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-1-1000000000000000000111111-1-1-1-1-1-1111111000000000000000
χ5222222222222-2-2-2-22222222-1-1-12222-1-1-1-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1000000000000000000111111111111-1-1-1-1-1-1000000000000000
χ532222222−1−i3−1+i3−1−i3−1+i3222222222−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32-11+i321−i32000000000000000000-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000
χ542222222−1−i3−1+i3−1−i3−1+i322-2-22-2-222−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i3222-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32-11+i321−i32000000000000000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ552222222−1−i3−1+i3−1−i3−1+i3-2-2222-2-222−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32-2-222-2-21+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32-11+i321−i320000000000000000001−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000
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χ582222222−1+i3−1−i3−1+i3−1−i322-2-22-2-222−1+i3−1−i3-11−i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i3222-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-11−i321+i321−i31−i31+i31+i3-11−i321+i32-11−i321+i32000000000000000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ592222222−1+i3−1−i3−1+i3−1−i3-2-2222-2-222−1+i3−1−i3-11−i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32-2-222-2-21−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31+i31+i3-11−i321+i32-11−i321+i320000000000000000001−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000
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χ612222-2-2222220000200-2-222222-2-2-2-2222000000000000002220000-2-2-2-2-2-22-2-222-22-200-22-220000000000000000000000000000000000000
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χ6722-222-2222220000-2002-2-2-222222-2-222200000000000000-2-2-20000222-2-2-222-2-2222200-2-2-2-20000000000000000000000000000000000000
χ6822-222-2222220000-2002-2-2-222222-2-222200000000000000-2-2-20000222-2-2-2-2-222-2-2-2-20022220000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.