Finite Group Databasebeta

← Group #72227121

Character table — Group #72227121

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208
size1122222222222444444444444444444444444444444448888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464
order12222444488884444448888888888888888881616161616161616222244444448888881616161616161616161616161616161632323232323232323232323232323232444488888888888816161616161616161616161616163232323232323232323232323232323232323232323232328888888816161616161616161616161632323232323232323232323232323232888888888888161616161616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ91111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ101111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ121111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ131111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ141111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111
χ151111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ161111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ17111111111111111-1-1-1-111111111111111-1-1-1-111111111111111111-1-11111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ18111111111111111-1-1-1-111111111111111-1-1-1-111111111111111111-1-11111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ19111111111111111-1-1-1-111111111111111-1-1-1-111111111111111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i
χ20111111111111111-1-1-1-111111111111111-1-1-1-111111111111111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii
χ21111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ22111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iiiii−i−iii−i−i−i−iii
χ23111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i1111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i
χ24111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii1111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii
χ25111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−iii−i−iii
χ26111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiii−i−iii−i−i
χ27111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ28111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ29111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii
χ30111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ31111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii
χ32111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i
χ33111-1-11-11-1111111ii−i−i111111111-1-11-1-1ii−i−i11-1-111-1-11-11-11-11-1-1i−i-1-1-1-1i−i11-1-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−ii−i1-1i−i1-1i−iii−i−i11-1-111-1-1i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3i−ii−iζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ34111-1-11-11-1111111ii−i−i111111111-1-11-1-1ii−i−i11-1-111-1-11-11-11-11-1-1i−i-1-1-1-1i−i11-1-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−ii−i1-1i−i1-1i−iii−i−i11-1-111-1-1i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ35111-1-11-11-1111111ii−i−i111111111-1-11-1-1ii−i−i11-1-111-1-11-11-11-11-1-1i−i-1-1-1-1i−i11-1-111-1-1ii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiii−ii−i1-1i−i1-1i−iii−i−i11-1-111-1-1i−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3i−ii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii-1-111−i−iiiζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
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χ37111-1-11-11-1111111ii−i−i111111111-1-11-1-1ii−i−i11-1-111-1-1-11-11-11-11-1i−i-1-1-1-1i−i11-1-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−ii−ii-11−ii-11−iiii−i−i-1-111-1-111i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ii−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii-1-111−i−iii−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ38111-1-11-11-1111111ii−i−i111111111-1-11-1-1ii−i−i11-1-111-1-1-11-11-11-11-1i−i-1-1-1-1i−i11-1-111-1-1ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−ii−ii-11−ii-11−iiii−i−i-1-111-1-111i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ii−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii-1-111−i−iiiζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ39111-1-11-11-1111111ii−i−i111111111-1-11-1-1ii−i−i11-1-111-1-1-11-11-11-11-1i−i-1-1-1-1i−i11-1-111-1-1ii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii−ii−ii-11−ii-11−iiii−i−i-1-111-1-111i−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ii−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i11-1-1ii−i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ40111-1-11-11-1111111ii−i−i111111111-1-11-1-1ii−i−i11-1-111-1-1-11-11-11-11-1i−i-1-1-1-1i−i11-1-111-1-1ii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii−ii−ii-11−ii-11−iiii−i−i-1-111-1-111i−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ii−iiζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i11-1-1ii−i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ41111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-11-1-111-1-11-1i−i1111i−i-1-111-1-111ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i−ii1-1i−i-11−ii−i−iii11-1-1-1-111i−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3i−i−iiζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i-1-111−i−iiiζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ42111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-11-1-111-1-11-1i−i1111i−i-1-111-1-111ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−ii−i−ii1-1i−i-11−ii−i−iii11-1-1-1-111i−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3i−i−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i-1-111−i−iii−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ43111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-11-1-111-1-11-1i−i1111i−i-1-111-1-111ii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiii−i−ii1-1i−i-11−ii−i−iii11-1-1-1-111i−i−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3i−i−ii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii11-1-1ii−i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ44111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-11-1-111-1-11-1i−i1111i−i-1-111-1-111ii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiii−i−ii1-1i−i-11−ii−i−iii11-1-1-1-111i−i−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3i−i−iiζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii11-1-1ii−i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ45111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-1-111-1-111-1-1i−i1111i−i-1-111-1-111ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−iii−i-11−ii1-1i−i−i−iii-1-11111-1-1i−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−iii−iζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii11-1-1ii−i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ46111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-1-111-1-111-1-1i−i1111i−i-1-111-1-111ii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−iii−i-11−ii1-1i−i−i−iii-1-11111-1-1i−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−iii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iii11-1-1ii−i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ47111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-1-111-1-111-1-1i−i1111i−i-1-111-1-111ii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii−iii−i-11−ii1-1i−i−i−iii-1-11111-1-1i−i−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−iii−i−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i-1-111−i−iii−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ48111-1-11-11-1111111ii−i−i-1-1-1-1-1-1-1-11-1-11-1-1ii−i−i11-1-111-1-1-111-1-111-1-1i−i1111i−i-1-111-1-111ii−i−i11-1-1-1-1-1-11111−i−i−i−iiiii−iii−i-11−ii1-1i−i−i−iii-1-11111-1-1i−i−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−iii−iζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−i-1-111−i−iiiζ−ζζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ49111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-11-11-11-11-1-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii−ii1-1−ii1-1−ii−i−iii11-1-111-1-1−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ50111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-11-11-11-11-1-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−ii−ii1-1−ii1-1−ii−i−iii11-1-111-1-1−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ51111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-11-11-11-11-1-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−ii−ii1-1−ii1-1−ii−i−iii11-1-111-1-1−ii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ii−ii−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i-1-111ii−i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ52111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-11-11-11-11-1-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−ii−ii1-1−ii1-1−ii−i−iii11-1-111-1-1−ii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ii−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i-1-111ii−i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ53111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-1-11-11-11-11-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiiii−ii−i-11i−i-11i−i−i−iii-1-111-1-111−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζi−ii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i-1-111ii−i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ54111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-1-11-11-11-11-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-11111-1-1-1-1−i−i−i−iiiiii−ii−i-11i−i-11i−i−i−iii-1-111-1-111−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζi−ii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i-1-111ii−i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ55111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-1-11-11-11-11-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-1-1-1-1-11111iiii−i−i−i−ii−ii−i-11i−i-11i−i−i−iii-1-111-1-111−ii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζi−ii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii11-1-1−i−iii−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ56111-1-11-11-1111111−i−iii111111111-1-11-1-1−i−iii11-1-111-1-1-11-11-11-11-1−ii-1-1-1-1−ii11-1-111-1-1−i−iii11-1-1-1-1-1-11111iiii−i−i−i−ii−ii−i-11i−i-11i−i−i−iii-1-111-1-111−ii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζi−ii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii11-1-1−i−iiiζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ57111-1-11-11-1111111−i−iii-1-1-1-1-1-1-1-11-1-11-1-1−i−iii11-1-111-1-11-1-111-1-11-1−ii1111−ii-1-111-1-111−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−iii−i1-1−ii-11i−iii−i−i11-1-1-1-111−iiii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−iii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iii-1-111ii−i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ58111-1-11-11-1111111−i−iii-1-1-1-1-1-1-1-11-1-11-1-1−i−iii11-1-111-1-11-1-111-1-11-1−ii1111−ii-1-111-1-111−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−iii−i1-1−ii-11i−iii−i−i11-1-1-1-111−iiii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−iii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii-1-111ii−i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ59111-1-11-11-1111111−i−iii-1-1-1-1-1-1-1-11-1-11-1-1−i−iii11-1-111-1-11-1-111-1-11-1−ii1111−ii-1-111-1-111−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−iii−i1-1−ii-11i−iii−i−i11-1-1-1-111−iiii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−iii−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−i11-1-1−i−iiiζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ60111-1-11-11-1111111−i−iii-1-1-1-1-1-1-1-11-1-11-1-1−i−iii11-1-111-1-11-1-111-1-11-1−ii1111−ii-1-111-1-111−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−iii−i1-1−ii-11i−iii−i−i11-1-1-1-111−iiii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−iii−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i11-1-1−i−iii−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ61111-1-11-11-1111111−i−iii-1-1-1-1-1-1-1-11-1-11-1-1−i−iii11-1-111-1-1-111-1-111-1-1−ii1111−ii-1-111-1-111−i−iii11-1-11111-1-1-1-1−i−i−i−iiiiii−i−ii-11i−i1-1−iiii−i−i-1-11111-1-1−iiii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζi−i−iiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i11-1-1−i−iii−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.