Finite Group Databasebeta

← Group #72227120

Character table — Group #72227120

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11111111222222222222222222222222444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232
order1222222244444444444444448888888822222222444444888888888888888888888888161616161616161616161616161616164444444444448888888888888888881616161616161616161616161616161616161616161616168888888888888888888816161616161616161616161616161616888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ7111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111
χ1111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ171111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii
χ201111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ211111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iii
χ221111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−i
χ231111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ241111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ251111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii
χ261111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i
χ271111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ281111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ291111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ301111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ311111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii
χ321111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i
χ33111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-111-1-11-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i1-1ii−i−i1-1ii−i−ii−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ34111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-111-1-11-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i1-1ii−i−i1-1ii−i−ii−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ35111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-111-1-11-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii1-1ii−i−i1-1ii−i−ii−iii−i−i11-1-111-1-1ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii-1-111−i−iiiζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ36111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-111-1-11-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii1-1ii−i−i1-1ii−i−ii−iii−i−i11-1-111-1-1ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii-1-111−i−iii−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ37111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-1-1-1111-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-11111-1-1-1-1iiii−i−i−i−i1-1ii−i−i-11−i−iiii−i−i−iii11-1-1-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiii−i−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i-1-111−i−iiiζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ38111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-1-1-1111-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-11111-1-1-1-1iiii−i−i−i−i1-1ii−i−i-11−i−iiii−i−i−iii11-1-1-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiii−i−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i-1-111−i−iii−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ39111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-1-1-1111-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii1-1ii−i−i-11−i−iiii−i−i−iii11-1-1-1-111−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−ii−i−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii11-1-1ii−i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ40111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-111-1-1-1-1111-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii1-1ii−i−i-11−i−iiii−i−i−iii11-1-1-1-111−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−ii−i−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii11-1-1ii−i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ41111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-11111-1-11-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-11111-1-1-1-1iiii−i−i−i−i-11−i−iii1-1ii−i−ii−i−i−iii-1-11111-1-1−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−iii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii11-1-1ii−i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ42111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-11111-1-11-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-11111-1-1-1-1iiii−i−i−i−i-11−i−iii1-1ii−i−ii−i−i−iii-1-11111-1-1−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−iii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii11-1-1ii−i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ43111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-11111-1-11-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii-11−i−iii1-1ii−i−ii−i−i−iii-1-11111-1-1−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−iii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i-1-111−i−iii−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ44111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-11111-1-11-1ii−i−i-1-1-1-11111ii−i−i-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−iiiii-11−i−iii1-1ii−i−ii−i−i−iii-1-11111-1-1−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−iii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i-1-111−i−iiiζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ45111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-111-1-1111-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i-11−i−iii-11−i−iiii−iii−i−i-1-111-1-111ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii-1-111−i−iii−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ46111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-111-1-1111-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i-11−i−iii-11−i−iiii−iii−i−i-1-111-1-111ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii-1-111−i−iiiζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ47111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-111-1-1111-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii-11−i−iii-11−i−iiii−iii−i−i-1-111-1-111ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ii−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ48111-1-11-1-111-1-11-11-1iiii−i−i−i−i11-1-111-1-1-1-111-1-1111-1ii−i−i1111-1-1-1-1ii−i−i1111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii-11−i−iii-11−i−iiii−iii−i−i-1-111-1-111ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ii−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ49111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-111-1-11-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii1-1−i−iii1-1−i−iii−ii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ50111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-111-1-11-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii1-1−i−iii1-1−i−iii−ii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ51111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-111-1-11-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i1-1−i−iii1-1−i−iii−ii−i−iii11-1-111-1-1−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i-1-111ii−i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ52111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-111-1-11-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i1-1−i−iii1-1−i−iii−ii−i−iii11-1-111-1-1−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i-1-111ii−i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ53111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-1-1-1111-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-11111-1-1-1-1−i−i−i−iiiii1-1−i−iii-11ii−i−i−iiii−i−i11-1-1-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−iii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii-1-111ii−i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ54111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-1-1-1111-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-11111-1-1-1-1−i−i−i−iiiii1-1−i−iii-11ii−i−i−iiii−i−i11-1-1-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−iii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii-1-111ii−i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ55111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-1-1-1111-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i1-1−i−iii-11ii−i−i−iiii−i−i11-1-1-1-111ii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−iii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i11-1-1−i−iiiζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ56111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-111-1-1-1-1111-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i1-1−i−iii-11ii−i−i−iiii−i−i11-1-1-1-111ii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−iii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i11-1-1−i−iii−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ57111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-11111-1-11-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-11111-1-1-1-1−i−i−i−iiiii-11ii−i−i1-1−i−iii−iiii−i−i-1-11111-1-1ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−ii−i−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i11-1-1−i−iii−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ58111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-11111-1-11-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-11111-1-1-1-1−i−i−i−iiiii-11ii−i−i1-1−i−iii−iiii−i−i-1-11111-1-1ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−ii−i−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i11-1-1−i−iiiζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ59111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-11111-1-11-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i-11ii−i−i1-1−i−iii−iiii−i−i-1-11111-1-1ii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiii−i−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii-1-111ii−i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ60111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-11111-1-11-1−i−iii-1-1-1-11111−i−iii-1-1-1-1111111-1-1-1-1-1-11111iiii−i−i−i−i-11ii−i−i1-1−i−iii−iiii−i−i-1-11111-1-1ii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiii−i−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii-1-111ii−i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ61111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-111-1-1111-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii-11ii−i−i-11ii−i−i−ii−i−iii-1-111-1-111−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiii−ii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i-1-111ii−i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ62111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-111-1-1111-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii-11ii−i−i-11ii−i−i−ii−i−iii-1-111-1-111−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiii−ii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i-1-111ii−i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ63111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-111-1-1111-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i-11ii−i−i-11ii−i−i−ii−i−iii-1-111-1-111−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−ii−ii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ64111-1-11-1-111-1-11-11-1−i−i−i−iiiii11-1-111-1-1-1-111-1-1111-1−i−iii1111-1-1-1-1−i−iii1111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i-11ii−i−i-11ii−i−i−ii−i−iii-1-111-1-111−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−ii−ii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
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χ66222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000-2-22200000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.