Finite Group Databasebeta

← Group #13153466

Character table — Group #13153466

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size112222222223333444444444446666666666666666666666888812121212121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order122344666883366444481212242424243336666666666612121212242424241212121212121212121212121212121212122424242424242424242424242424224466661212121212121212121212121212121222446666881212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ4111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ511111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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
χ611111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ711111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i32111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ811111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ911111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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
χ1011111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ1111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i32111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ1211111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ13111111111-1-1111111-1-1-111-1-1-1-1111111111111111111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-11-11-11-11-1-1-11-11-1-1-1-1-1
χ14111111111-1-1111111-1-1-111-1-1-1-1111111111111111111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-11-11-11-1111-11-111111
χ15111111111-1-11111-1-111-111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-11-11-11-11-1-1-11-11-1-1-1-1
χ16111111111-1-11111-1-111-111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-11-11-1111-11-11111
χ17111111111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-111-1-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32-1-1−1−i321+i32−1+i321−i321+i321+i321−i321−i32
χ18111111111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-111-1-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i32111+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ19111111111-1-1−1−i32−1+i32−1−i32−1+i32-1-111-111-1-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i32-1-11+i32−1−i321−i32−1+i321+i321+i321−i321−i32
χ20111111111-1-1−1−i32−1+i32−1−i32−1+i32-1-111-111-1-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+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
χ21111111111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-111-1-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32-1-1−1+i321−i32−1−i321+i321−i321−i321+i321+i32
χ22111111111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-111-1-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i32111−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ23111111111-1-1−1+i32−1−i32−1+i32−1−i32-1-111-111-1-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i32-1-11−i32−1+i321+i32−1−i321−i321−i321+i321+i32
χ24111111111-1-1−1+i32−1−i32−1+i32−1−i32-1-111-111-1-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−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
χ2511-11-11-1-111111111-11-1-1-1111-1-1111-1-1-1-1-1-1-1-1111-1-11111111-11-11-11-11-11-1-1-1-1111-1-111-1-111-1-111-1-11-11-11-11-11-11-11-11-11-11-11-11-111-1-111111-1-1-1-1-11-11-1
χ2611-11-11-1-111111111-11-1-1-1111-1-1111-1-1-1-1-1-1-1-1111-1-11111111-11-11-11-11-11-1-1-1-1111-1-111-1-111-1-111-1-1-11-11-11-11-11-111-11-11-11-11-11-1-1-111-1-1-1-1-111111-11-11
χ2711-11-11-1-11111111-11-11-1-1111-1-1111-1-1-1-1-1-1-1-1111-1-1111111-11-11-11-11-11-11-1-1-1111-1-111-1-111-1-111-1-11-11-11-11-11-11-1-11-11-11-11-11-11-1-111-1-1-1-11-111111-11-1
χ2811-11-11-1-11111111-11-11-1-1111-1-1111-1-1-1-1-1-1-1-1111-1-1111111-11-11-11-11-11-11-1-1-1111-1-111-1-111-1-111-1-1-11-11-11-11-11-11-11-11-11-11-11-1111-1-11111-11-1-1-1-1-11-11
χ2911-11-11-1-1111−1−i32−1+i32−1−i32−1+i321-11-1-1-1111-1-11−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-11+i321−i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321-11+i321+i321−i321−i32−1−i321+i32−1+i321−i32
χ3011-11-11-1-1111−1−i32−1+i32−1−i32−1+i321-11-1-1-1111-1-11−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-11+i321−i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-1-1111+i321+i321−i321−i32-11−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i32
χ3111-11-11-1-1111−1−i32−1+i32−1−i32−1+i32-11-11-1-1111-1-11−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11+i321−i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-1-1111+i321+i321−i321−i321-1−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i32
χ3211-11-11-1-1111−1−i32−1+i32−1−i32−1+i32-11-11-1-1111-1-11−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11+i321−i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i32-111+i321+i321−i321−i321+i32−1−i321−i32−1+i32
χ3311-11-11-1-1111−1+i32−1−i32−1+i32−1−i321-11-1-1-1111-1-11−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-11−i321+i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321-11−i321−i321+i321+i32−1+i321−i32−1−i321+i32
χ3411-11-11-1-1111−1+i32−1−i32−1+i32−1−i321-11-1-1-1111-1-11−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-11−i321+i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-1-1111−i321−i321+i321+i32-11−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i32
χ3511-11-11-1-1111−1+i32−1−i32−1+i32−1−i32-11-11-1-1111-1-11−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11−i321+i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-1-1111−i321−i321+i321+i321-1−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i32
χ3611-11-11-1-1111−1+i32−1−i32−1+i32−1−i32-11-11-1-1111-1-11−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11−i321+i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i32-111−i321−i321+i321+i321−i32−1+i321+i32−1−i32
χ3711-11-11-1-11-1-111111-1-111-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111-1-111-1-11-1-1-111111-1-111-1-111-1-1111-11-11-11-11-11-11-1-111-1-111-1-111-1-111-11-1-11-11-11-11-11
χ3811-11-11-1-11-1-111111-1-111-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111-1-111-1-11-1-1-111111-1-111-1-111-1-111-11-11-11-11-11-111-1-111-1-111-1-11-111-1-11-111-11-11-11-11-1
χ3911-11-11-1-11-1-11111-111-11-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-111111-1-111-1-111-1-1111-11-11-11-11-11-1-111-1-111-1-111-1-111-1-11-11-111-11-1-11-11
χ4011-11-11-1-11-1-11111-111-11-11-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-111111-1-111-1-111-1-111-11-11-11-11-11-11-111-1-111-1-111-11-1-111-11-11-1-11-111-11-1
χ4111-11-11-1-11-1-1−1−i32−1+i32−1−i32−1+i321-1-111-11-1-1111−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-11+i321−i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321-1-11−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ4211-11-11-1-11-1-1−1−i32−1+i32−1−i32−1+i321-1-111-11-1-1111−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-11+i321−i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-111-11+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ4311-11-11-1-11-1-1−1−i32−1+i32−1−i32−1+i32-111-11-11-1-1111−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-11+i321−i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-111-11+i32−1−i321−i32−1+i32-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ4411-11-11-1-11-1-1−1−i32−1+i32−1−i32−1+i32-111-11-11-1-1111−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-11+i321−i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321-1-11−1−i321+i32−1+i321−i321-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ4511-11-11-1-11-1-1−1+i32−1−i32−1+i32−1−i321-1-111-11-1-1111−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-11−i321+i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321-1-11−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ4611-11-11-1-11-1-1−1+i32−1−i32−1+i32−1−i321-1-111-11-1-1111−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-11−i321+i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-111-11−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ4711-11-11-1-11-1-1−1+i32−1−i32−1+i32−1−i32-111-11-11-1-1111−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-11−i321+i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-111-11−i32−1+i321+i32−1−i32-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ4811-11-11-1-11-1-1−1+i32−1−i32−1+i32−1−i32-111-11-11-1-1111−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-11−i321+i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321-1-11−1+i321−i32−1−i321+i321-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ4922222222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ50222222222222222-2-2-2-22222222-1-1-122-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000000000
χ5122222222222−1−i3−1+i3−1−i3−1+i322222222222-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000
χ5222222222222−1−i3−1+i3−1−i3−1+i3-2-2-2-22222222-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3-11+i321−i32-11+i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000
χ5322222222222−1+i3−1−i3−1+i3−1−i322222222222-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000
χ5422222222222−1+i3−1−i3−1+i3−1−i3-2-2-2-22222222-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3-11−i321+i32-11−i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000000000001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000
χ55222222222-2-2222222-2-2-222-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-12222-2-2-2-222-2-222-2-222-2-2-1-1-1-1-1-1-2-2111111111111000000000000-1-111-1-111-1-111000000000000000000
χ56222222222-2-22222-2-222-222-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-222-2-222-2-222-1-1-1-1-1-1-2-211111111111100000000000011-1-111-1-111-1-1000000000000000000
χ57222222222-2-2−1−i3−1+i3−1−i3−1+i322-2-2-222-2-2-2-2-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-11+i321−i32-11+i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000000000
χ58222222222-2-2−1−i3−1+i3−1−i3−1+i3-2-222-222-2-2-2-2-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-11+i321−i32-11+i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000000000
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χ110666-366-3-3-3660000-6-6-6-66-3-3-3-3-3-3000000000000000000000033330000000000000000000000000000000000000000000000000000000000000000000000
χ111666-366-3-3-3-6-6000066-6-6-6-3-333330000000000000000000000-3-3330000000000000000000000000000000000000000000000000000000000000000000000
χ112666-366-3-3-3-6-60000-6-666-6-3-33333000000000000000000000033-3-30000000000000000000000000000000000000000000000000000000000000000000000
χ11366-6-3-6633-36600006-66-6-63-3-3-3330000000000000000000000-33-330000000000000000000000000000000000000000000000000000000000000000000000
χ11466-6-3-6633-3660000-66-66-63-3-3-33300000000000000000000003-33-30000000000000000000000000000000000000000000000000000000000000000000000
χ11566-6-3-6633-3-6-600006-6-6663-333-3-30000000000000000000000-333-30000000000000000000000000000000000000000000000000000000000000000000000
χ11666-6-3-6633-3-6-60000-666-663-333-3-300000000000000000000003-3-330000000000000000000000000000000000000000000000000000000000000000000000
χ117121212-6-12-12-6-6-600000000000660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1181212-12-612-1266-600000000000-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11912-120-600−6i36i3662−6200000000000−32323i6−3i6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12012-120-600−6i36i36−62620000000000032−32−3i63i6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12112-120-6006i3−6i3662−6200000000000−3232−3i63i6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12212-120-6006i3−6i36−62620000000000032−323i6−3i6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.