Finite Group Databasebeta

← Group #14546292

Character table — Group #14546292

Order 2187.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size111111111111111111111111111333333333333333333999999999999999999999999999999999999999999999999999999999999999999999999272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727
order133333333333333333333333333333333333333333333999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ5111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111
χ7111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ8111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111
χ9111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1011111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8
χ1111111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5
χ1211111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2
χ1311111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5
χ1411111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2
χ1511111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8
χ1611111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2
χ1711111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8
χ1811111−1+i32−1+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−i32111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζζζζζζζζζζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5
χ1911111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7
χ2011111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζζζζ7ζ7ζ7ζ4ζ4ζ4
χ2111111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζζζζ7ζ7ζ7ζ4ζ4ζ4−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζ7ζ7ζ7ζ4ζ4ζ4ζζζ
χ2211111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4
χ2311111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ4ζ4ζ4ζζζζ7ζ7ζ7−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ7ζ7ζ7ζ4ζ4ζ4ζζζ
χ2411111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζζζζζζζζζζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ4ζ4ζ4ζζζζ7ζ7ζ7
χ2511111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζζ111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ
χ2611111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζζ−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζζζζ7ζ7ζ7ζ4ζ4ζ4−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζ4ζ4ζ4ζζζζ7ζ7ζ7
χ2711111−1−i32−1−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+i32111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζ4ζζζζζζζζζ−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζ4ζ4ζ4ζζζζ7ζ7ζ7−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζζζζ7ζ7ζ7ζ4ζ4ζ4
χ28333333333333333333333333333333333333333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ29333333333333333333333333333333333333333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ30333333333333333333333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i320000000000000000002ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ5ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4000000000000000000000000000000000000000000000000000000
χ31333333333333333333333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32000000000000000000−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4000000000000000000000000000000000000000000000000000000
χ32333333333333333333333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32000000000000000000−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4000000000000000000000000000000000000000000000000000000
χ33333333333333333333333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32000000000000000000ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5000000000000000000000000000000000000000000000000000000
χ34333333333333333333333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32000000000000000000ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ+2ζ42ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ5−ζ2−2ζ5000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.