Finite Group Databasebeta

← Group #14546293

Character table — Group #14546293

Order 2187.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size111111111111111111111111111333333333333333333999999999999999999999999999999999999999999999999999999999999999999999999272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727
order133333333999999999999999999333333999999999999333333999999999999272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727999999999999999999272727272727272727272727272727272727272727272727272727272727272727272727
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−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
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−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
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+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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
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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ10111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24
χ11111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15
χ12111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6
χ13111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15
χ14111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6
χ15111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24
χ16111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6
χ17111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24
χ18111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−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−i32ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15
χ19111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21
χ20111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12
χ21111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3
χ22111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12
χ23111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3
χ24111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21
χ25111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3
χ26111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21
χ27111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ24ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ15ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ21ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ12ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3ζ3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12
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+3i320000000000000000002ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ15ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12000000000000000000000000000000000000000000000000000000
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−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12000000000000000000000000000000000000000000000000000000
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−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12000000000000000000000000000000000000000000000000000000
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+3i32−3−3i32000000000000000000ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12ζ3+2ζ12ζ3+2ζ12ζ3+2ζ12ζ3−ζ12ζ3−ζ12ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−2ζ3−ζ12−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6−2ζ15−ζ6−2ζ15−ζ6−2ζ152ζ6+ζ152ζ6+ζ152ζ6+ζ15−ζ6+ζ15−ζ6+ζ15−ζ6+ζ15000000000000000000000000000000000000000000000000000000
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χ1609−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i329ζ39ζ129ζ219ζ129ζ219ζ39ζ69ζ159ζ249ζ249ζ69ζ159ζ219ζ39ζ129ζ159ζ249ζ6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1649−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i3299ζ129ζ219ζ39ζ39ζ129ζ219ζ249ζ69ζ159ζ69ζ159ζ249ζ219ζ39ζ129ζ159ζ249ζ6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1659−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i3299ζ219ζ39ζ129ζ129ζ219ζ39ζ159ζ249ζ69ζ249ζ69ζ159ζ39ζ129ζ219ζ69ζ159ζ24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1709−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i329ζ159ζ69ζ249ζ69ζ249ζ159ζ39ζ219ζ129ζ129ζ39ζ219ζ249ζ159ζ69ζ219ζ129ζ3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1719−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i329ζ249ζ159ζ69ζ159ζ69ζ249ζ219ζ129ζ39ζ39ζ219ζ129ζ69ζ249ζ159ζ129ζ39ζ21000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 27 (ζ27 = 1); i = ζ6.