Finite Group Databasebeta

← Group #19103179

Character table — Group #19103179

Order 5103.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252C253C254C255C256C257C258C259C260C261C262C263C264C265C266C267C268C269C270C271C272C273C274C275C276C277C278C279C280C281C282C283C284C285C286C287C288C289C290C291C292C293C294C295C296C297C298C299C300C301C302C303C304C305C306C307C308C309C310C311C312C313C314C315C316C317C318C319C320C321C322C323C324C325C326C327C328C329C330C331C332C333C334C335C336C337C338C339C340C341C342C343C344C345C346C347C348C349C350C351
size111111111111111111111111111333333333333333333333333333333333333333333333333333333333333333333333333999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121636363636363636363636363636363636363636363636363636363636363636363636363
order1333333333333333333333333337799999999999999999921212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121999999999999999999636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363333333333333333333999999999999999999999999999999999999999999999999999999999999999999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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+i32111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32
χ6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111
χ7111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−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−i32111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
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χ3113−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i3233333333−1−i72−1+i72−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3123−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i3233333333−1−i72−1+i72−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57−1−i72−1−i72−1+i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ3449−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32−3+3i72−3−3i720000000000000000003ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3459−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32−3−3i72−3+3i720000000000000000003ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3469−9+9i32−9−9i3299−9+9i32−9−9i32−9−9i329−9+9i32−9−9i329−9+9i32−9+9i32−9−9i3299−9+9i32−9−9i32−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i329−3+3i72−3−3i720000000000000000003ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i72−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i72−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i72000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3479−9+9i32−9−9i3299−9+9i32−9−9i32−9−9i329−9+9i32−9−9i329−9+9i32−9+9i32−9−9i3299−9+9i32−9−9i32−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i329−3−3i72−3+3i720000000000000000003ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i72−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i72−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i72000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3489−9+9i32−9−9i329−9−9i329−9+9i329−9+9i32−9−9i32−9−9i329−9+9i329−9+9i32−9−9i32−9+9i32−9−9i329−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32−3+3i72−3−3i720000000000000000003ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ48000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3499−9+9i32−9−9i329−9−9i329−9+9i329−9+9i32−9−9i32−9−9i329−9+9i329−9+9i32−9−9i32−9+9i32−9−9i329−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32−3−3i72−3+3i720000000000000000003ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ57000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3509−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i329−9−9i329−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32−3+3i72−3−3i720000000000000000003ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ33000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3519−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i329−9−9i329−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32−3−3i72−3+3i720000000000000000003ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 63 (ζ63 = 1); i = ζ15.