Finite Group Databasebeta

← Group #13143811

Character table — Group #13143811

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size11111111111111111111111122222222222222222222222222222222222266666666666666666666666666666666999999999999999999999999121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818181818181818181818181818
order12223344446666661212121212121212444488888888121212121212121224242424242424242424242424242424333366666666666612121212121212121212121212121212888888882424242424242424242424242424242412121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444666688881212121212121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111
χ9111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111ii−i−i-1-1-1-11111-1-1-1-1iiii−i−i−i−i
χ10111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-1−i−iii1111-1-1-1-11111−i−i−i−iiiii
χ11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-1ii−i−i1111-1-1-1-11111iiii−i−i−i−i
χ12111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111−i−iii-1-1-1-11111-1-1-1-1−i−i−i−iiiii
χ13111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1111111−i−iii-1-1-1-1-1-1-1-11111−i−i−i−iiiii
χ14111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-1ii−i−i11111111-1-1-1-1iiii−i−i−i−i
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-1−i−iii11111111-1-1-1-1−i−i−i−iiiii
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1111111ii−i−i-1-1-1-1-1-1-1-11111iiii−i−i−i−i
χ1711-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-1i−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−i1-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111−ii−ii-1-111−i−iii−i−iii−i−iii−i−iii
χ1911-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11-11−ii−ii-1-111i−ii−i-1-111−i−iii−i−iiiii−i−iii−i−i
χ2011-1-11111-1-111-1-1-1-11111-1-1-1-1i−ii−i-11-11−ii−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-11-1i−ii−i11-1-1−ii−ii11-1-1ii−i−iii−i−i−i−iii−i−iii
χ2111-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-1−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii
χ2211-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii1-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111i−ii−i-1-111ii−i−iii−i−iii−i−iii−i−i
χ2311-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11-11i−ii−i-1-111−ii−ii-1-111ii−i−iii−i−i−i−iii−i−iii
χ2411-1-11111-1-111-1-1-1-11111-1-1-1-1−ii−ii-11-11i−ii−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-11-1−ii−ii11-1-1i−ii−i11-1-1−i−iii−i−iiiii−i−iii−i−i
χ2511-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−iii−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11i−i−ii11-1-1-111-1-1-111ii−i−i−i−iii-1-11111-1-1
χ2611-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−iii−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-1−iii−i-1-1111-1-1111-1-1−i−iiiii−i−i11-1-1-1-111
χ2711-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−i1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1−iii−i-1-111-111-111-1-1−i−iiiii−i−i-1-11111-1-1
χ2811-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−i1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-11i−i−ii11-1-11-1-11-1-111ii−i−i−i−iii11-1-1-1-111
χ2911-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−ii1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-11−iii−i11-1-11-1-11-1-111−i−iiiii−i−i11-1-1-1-111
χ3011-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−ii1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1i−i−ii-1-111-111-111-1-1ii−i−i−i−iii-1-11111-1-1
χ3111-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−i−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-1i−i−ii-1-1111-1-1111-1-1ii−i−i−i−iii11-1-1-1-111
χ3211-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−i−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11−iii−i11-1-1-111-1-1-111−i−iiiii−i−i-1-11111-1-1
χ332222222222222222222222222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000000000000000000000000000000
χ34222222222222222222222222222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000000000000000000000000000000000
χ35222222222222222222222222222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000000000000000000000
χ36222222222222222222222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000000000000000000000
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χ1123333−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3-3-3-3-333333+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i320000000000000000000000000000000000000000000000001111-1-1-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ1133333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-33i3i−3i−3i3i3i−3i−3i−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323ζ223ζ143ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ143ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ1400000000000000000000000000000000iiii−i−i−i−iζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ1400000000000000000000000000000000000000000000000011-1-111-1-1−1−i32−1+i32−1−i32−1+i32ii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14
χ1143333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-33i3i−3i−3i3i3i−3i−3i−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323ζ223ζ143ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ143ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ1400000000000000000000000000000000−i−i−i−iiiii−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14000000000000000000000000000000000000000000000000-1-111-1-1111+i321−i321+i321−i32−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14
χ1153333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-3−3i−3i3i3i−3i−3i3i3i−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ143ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ143ζ223ζ1400000000000000000000000000000000iiii−i−i−i−iζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14000000000000000000000000000000000000000000000000-1-111-1-1111+i321−i321+i321−i32ii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14
χ1163333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3233-3-3−3i−3i3i3i−3i−3i3i3i−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ143ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ143ζ223ζ1400000000000000000000000000000000−i−i−i−iiiii−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ1400000000000000000000000000000000000000000000000011-1-111-1-1−1−i32−1+i32−1−i32−1+i32−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14
χ1173333−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-3-3333i3i−3i−3i−3i−3i3i3i3+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323ζ223ζ143ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ14−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ143ζ223ζ1400000000000000000000000000000000iiii−i−i−i−iζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ1400000000000000000000000000000000000000000000000011-1-1-1-111−1−i32−1+i32−1−i32−1+i32−i−iii1+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14
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χ1303333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-33i3i−3i−3i3i3i−3i−3i−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323ζ143ζ223ζ143ζ22−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ223ζ143ζ22−3ζ14−3ζ22−3ζ14−3ζ2200000000000000000000000000000000−i−i−i−iiiii−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22000000000000000000000000000000000000000000000000-1-111-1-1111−i321+i321−i321+i32−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
χ1313333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-3−3i−3i3i3i−3i−3i3i3i−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ223ζ143ζ22−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ223ζ143ζ2200000000000000000000000000000000iiii−i−i−i−iζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22000000000000000000000000000000000000000000000000-1-111-1-1111−i321+i321−i321+i32ii−i−i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22
χ1323333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233-3-3−3i−3i3i3i−3i−3i3i3i−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ223ζ143ζ22−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ223ζ143ζ2200000000000000000000000000000000−i−i−i−iiiii−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ2200000000000000000000000000000000000000000000000011-1-111-1-1−1+i32−1−i32−1+i32−1−i32−i−iii1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
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χ1353333−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-333−3i−3i3i3i3i3i−3i−3i3−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ223ζ143ζ223ζ143ζ223ζ143ζ22−3ζ14−3ζ22−3ζ14−3ζ2200000000000000000000000000000000iiii−i−i−i−iζ14ζ22ζ14ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22−ζ14−ζ22000000000000000000000000000000000000000000000000-1-11111-1-11−i321+i321−i321+i32−i−iii−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22
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χ13833-3-3−3−3i32−3+3i3233-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323i−3i3i−3i3-33-33i−3i3i−3i3ζ223ζ14−3ζ22−3ζ143ζ223ζ14−3ζ22−3ζ14−3−3i32−3+3i323+3i323−3i32−3−3i32−3+3i323+3i323−3i323ζ223ζ14−3ζ22−3ζ143ζ223ζ14−3ζ22−3ζ1400000000000000000000000000000000-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000000000000000000000000000-11-11−ii−ii1+i321−i32−1−i32−1+i32−ii−ii1+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.