Finite Group Databasebeta

← Group #13141539

Character table — Group #13141539

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11111111222222222222222222223333333333333333444444444444666666666666666666666666666666666666666666666666999999999999999999999999121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818181818181818181818181818
order12224444344446668888888812121212336666661212121212121212121212122424242424242424999121212121212121218181818181818181824242424242424242424242424242424363636363636363636363636444444441212121212121212121212121212121236363636363636363636363672727272727272727272727272727272727272727272727222446666888888881212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ51111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ61111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ71111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ81111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111
χ91111111111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1−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−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ101111111111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i32111111111+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+i32−1+i32−1+i32
χ111111111111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1+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+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ121111111111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i32111111111−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−i32−1−i32−1−i32
χ13111111111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ14111111111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ15111111111-1-1-1-11111111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-11−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111−1−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+i321−i321−i321−i321−i321111−1−i32−1−i32−1−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−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−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ16111111111-1-1-1-11111111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-11−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111−1−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+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ17111111111-1-1-1-11111111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111-1-1-1-11−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−1+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−i321+i321+i321+i321+i321111−1+i32−1+i32−1+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+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+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ18111111111-1-1-1-11111111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111-1-1-1-11−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−1+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−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ19111111111-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ20111111111-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ21111111111-1-1-1-1111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−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−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−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ22111111111-1-1-1-1111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−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+i321−i321−i321−i321−i32
χ23111111111-1-1-1-1111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+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+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+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i32-1-1-1-111111−i321−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ24111111111-1-1-1-1111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+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−i321+i321+i321+i321+i32
χ251111-1-1-1-1111-1-1111ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i11111-1-111-1-1111111111ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-11111ii−i−iii−i−i-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ261111-1-1-1-1111-1-1111ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i11111-1-111-1-1111111111ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i-1-111-1-1-1-1−i−iii−i−iii1111−i−iii−i−iii−i−iii−i−iii
χ271111-1-1-1-1111-1-1111ii−i−iii−i−i-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1ii−i−iii−i−i1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ711-1-1−1−i32−1−i32−1+i32−1+i32ii−i−iii−i−i1+i321+i321−i321−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ281111-1-1-1-1111-1-1111ii−i−iii−i−i-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1ii−i−iii−i−i1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7-1-1111+i321+i321−i321−i32−i−iii−i−iii−1−i32−1−i32−1+i32−1+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ291111-1-1-1-1111-1-1111ii−i−iii−i−i-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1ii−i−iii−i−i1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ1111-1-1−1+i32−1+i32−1−i32−1−i32ii−i−iii−i−i1−i321−i321+i321+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ301111-1-1-1-1111-1-1111ii−i−iii−i−i-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1ii−i−iii−i−i1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11-1-1111−i321−i321+i321+i32−i−iii−i−iii−1+i32−1+i32−1−i32−1−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ311111-1-1-1-1111-1-1111−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii11111-1-111-1-1111111111−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-11111−i−iii−i−iii-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ321111-1-1-1-1111-1-1111−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii11111-1-111-1-1111111111−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii-1-111-1-1-1-1ii−i−iii−i−i1111ii−i−iii−i−iii−i−iii−i−i
χ331111-1-1-1-1111-1-1111−i−iii−i−iii-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−i−iii−i−iii1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ711-1-1−1−i32−1−i32−1+i32−1+i32−i−iii−i−iii1+i321+i321−i321−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ341111-1-1-1-1111-1-1111−i−iii−i−iii-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−i−iii−i−iii1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7-1-1111+i321+i321−i321−i32ii−i−iii−i−i−1−i32−1−i32−1+i32−1+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ351111-1-1-1-1111-1-1111−i−iii−i−iii-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−i−iii−i−iii1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ1111-1-1−1+i32−1+i32−1−i32−1−i32−i−iii−i−iii1−i321−i321+i321+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ361111-1-1-1-1111-1-1111−i−iii−i−iii-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−i−iii−i−iii1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11-1-1111−i321−i321+i321+i32ii−i−iii−i−i−1+i32−1+i32−1−i32−1−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ371111-1-1-1-11-1-111111ii−i−i−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii111-1-111-1-111111111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-111-1-1-1-1ii−i−i−i−iii1111ii−i−i−i−iiiii−i−i−i−iii
χ381111-1-1-1-11-1-111111ii−i−i−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii111-1-111-1-111111111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-11111−i−iiiii−i−i-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ391111-1-1-1-11-1-111111ii−i−i−i−iii-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111ii−i−i−i−iii1−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7-1-1111+i321+i321−i321−i32ii−i−i−i−iii−1−i32−1−i32−1+i32−1+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ401111-1-1-1-11-1-111111ii−i−i−i−iii-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111ii−i−i−i−iii1−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ711-1-1−1−i32−1−i32−1+i32−1+i32−i−iiiii−i−i1+i321+i321−i321−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ411111-1-1-1-11-1-111111ii−i−i−i−iii-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111ii−i−i−i−iii1−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11-1-1111−i321−i321+i321+i32ii−i−i−i−iii−1+i32−1+i32−1−i32−1−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ421111-1-1-1-11-1-111111ii−i−i−i−iii-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111ii−i−i−i−iii1−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ1111-1-1−1+i32−1+i32−1−i32−1−i32−i−iiiii−i−i1−i321−i321+i321+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ431111-1-1-1-11-1-111111−i−iiiii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i111-1-111-1-111111111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-1-1-1−i−iiiii−i−i1111−i−iiiii−i−i−i−iiiii−i−i
χ441111-1-1-1-11-1-111111−i−iiiii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i111-1-111-1-111111111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-11111ii−i−i−i−iii-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ451111-1-1-1-11-1-111111−i−iiiii−i−i-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−i−iiiii−i−i1−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7-1-1111+i321+i321−i321−i32−i−iiiii−i−i−1−i32−1−i32−1+i32−1+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ461111-1-1-1-11-1-111111−i−iiiii−i−i-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−i−iiiii−i−i1−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ711-1-1−1−i32−1−i32−1+i32−1+i32ii−i−i−i−iii1+i321+i321−i321−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ471111-1-1-1-11-1-111111−i−iiiii−i−i-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−i−iiiii−i−i1−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11-1-1111−i321−i321+i321+i32−i−iiiii−i−i−1+i32−1+i32−1−i32−1−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ481111-1-1-1-11-1-111111−i−iiiii−i−i-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−i−iiiii−i−i1−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ1111-1-1−1+i32−1+i32−1−i32−1−i32ii−i−i−i−iii1−i321−i321+i321+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ4911-1-111-1-11i−ii−i1-1-11-11-1i−ii−i11-1-1111-1-11-1-111-1-111-1-1i−ii−i1-11-1i−ii−i111i−ii−ii−ii−i1-1-11-1-11-1-11-11-1i−ii−i1-11-1i−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−ii−ii−i1-11-1i−ii−i1-11-1i−ii−i1-11-1i−ii−i1-11-11-11-1i−ii−i1-11-11-11-1i−ii−i1-11-1i−ii−i1-11-1
χ5011-1-111-1-11i−ii−i1-1-11-11-1i−ii−i11-1-1111-1-11-1-111-1-111-1-1i−ii−i1-11-1i−ii−i111i−ii−ii−ii−i1-1-11-1-11-1-11-11-1i−ii−i1-11-1i−ii−i11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−ii−ii−i1-11-1i−ii−i1-11-1i−ii−i1-11-1i−ii−i-11-11-11-11−ii−ii-11-11-11-11−ii−ii-11-11−ii−ii-11-11
χ5111-1-111-1-11i−ii−i1-1-11-11-1i−ii−i11-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−i1-11-1i−ii−i1−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ711-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71-11-1i−ii−i−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71-11-1−1−i321+i32−1+i321−i32i−ii−i1-11-1−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32
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χ5611-1-111-1-11i−ii−i1-1-1-11-11−ii−ii11-1-1111-1-11-1-111-1-111-1-1i−ii−i-11-11−ii−ii111i−ii−ii−ii−i1-1-11-1-11-1-1-11-11−ii−ii-11-11−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−ii−ii−i-11-11−ii−ii-11-11−ii−ii-11-11−ii−ii-11-11-11-11i−ii−i1-11-1-11-11i−ii−i1-11-1i−ii−i1-11-1
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χ7111-1-111-1-11−ii−ii1-1-1-11-11i−ii−i11-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii-11-11i−ii−i1−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ111-1-1−1+i321−i321−i32−1−i321+i321+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ1111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-11-11i−ii−i1−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11-11-111−i32−1+i321+i32−1−i32−ii−ii1-11-11−i32−1+i321+i32−1−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32
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χ7411-1-1-1-1111i−i−ii1-1-1i−i−ii-111-1-1-111111-1-11-1-1-1-111-1-111i−i−iii−i−ii-111-1111i−i−iii−i−ii1-1-11-1-11-1-1i−i−ii-111-1i−i−ii-111-1-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−iii−i−iii−i−ii-111-1i−i−ii-111-1i−i−ii-111-1-111-1-11-111-1-11−iii−i1-11-11-1-11−iii−i1-1-11−iii−i
χ7511-1-1-1-1111i−i−ii1-1-1i−i−ii-111-1-1-111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iii−i−ii-111-11−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71-1-1−1−i321+i321+i32−1+i321−i321−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7i−i−ii-111-1ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i321-1-11−1−i321+i32−1+i321−i32-111-1i−i−ii1+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ111−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ7611-1-1-1-1111i−i−ii1-1-1i−i−ii-111-1-1-111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iii−i−ii-111-11−1−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71-1-1−1−i321+i321+i32−1+i321−i321−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7i−i−ii-111-1ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32-111-11+i32−1−i321−i32−1+i321-1-11−iii−i−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
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χ9211-1-1-1-1111−iii−i1-1-1−iii−i-111-1-1-111111-1-11-1-1-1-111-1-111−iii−i−iii−i-111-1111−iii−i−iii−i1-1-11-1-11-1-1−iii−i-111-1−iii−i-111-1-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i−iii−i−iii−i-111-1−iii−i-111-1−iii−i-111-11-1-111-11-1-111-1−iii−i-11-11-111-1−iii−i-111-1−iii−i
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χ982222222222222222222222222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3222222222222-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000000000
χ992222222222222222222222222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3222222222222-11−i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000000000
χ1002222222222222222-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000
χ1012222222222222222-2-2-2-2-2-2-2-22222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222-2-2-2-2-2-2-2-2-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31+i31+i31+i31+i31+i31+i31−i31−i31−i31−i31−i31−i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000000
χ1022222222222222222-2-2-2-2-2-2-2-22222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222-2-2-2-2-2-2-2-2-11−i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31−i31−i31−i31−i31−i31−i31+i31+i31+i31+i31+i31+i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000000
χ103222222222-2-2-2-22222222-2-2-2-222222222222222222222-2-2-2-22222-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000
χ104222222222-2-2-2-22222222-2-2-2-22222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-2-2-22222-2-2-2-2-11+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000000000000000001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000000
χ105222222222-2-2-2-22222222-2-2-2-22222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-2-2-2-22222-2-2-2-2-11−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000000000000000000000001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000000
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χ1112222-2-2-2-2222-2-22222i2i−2i−2i2i2i−2i−2i-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i322-2-22i2i−2i−2i2i2i−2i−2i-11−i321+i32−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i322ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.