Finite Group Databasebeta

← Group #12963622

Character table — Group #12963622

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248
size1111222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444442020202020202020202020202020202011112222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444420202020202020202020202020202020
order1244222444558888888888881010101010102020202020202020404040404040404040404040404040404444881010101020202020202020202020202020202020202020204040404040404040404040404040404040404040404040402222444488888888224422244410108888888888881010101010102020202020202020404040404040404040404040404040404444881010101020202020202020202020202020202020202020204040404040404040404040404040404040404040404040402222444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ91111-1-11-1-11111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11111-1-11-1-11111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1
χ101111-1-11-1-11111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-1111111-1-11-1-11111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111
χ111111-1-11-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-1111111-1-11-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-111
χ121111-1-11-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-11111-1-11-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-1
χ131111-1-11-1-1111-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-1111111-1-11-1-1111-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-111
χ141111-1-11-1-1111-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-11111-1-11-1-1111-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-1
χ151111-1-11-1-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-11-1-11111-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-11-1-11111-1-1
χ161111-1-11-1-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-111-1-1-1-1111111-1-11-1-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-111-1-1-1-111
χ1711-1-11-1-11-1111ii−i−iii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i11-1-11-1-11-1111ii−i−iii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ1811-1-11-1-11-1111ii−i−iii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii11-1-11-1-11-1111ii−i−iii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii
χ1911-1-11-1-11-1111ii−i−iii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-111i−ii−i−ii−ii11-1-11-1-11-1111ii−i−iii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-111i−ii−i−ii−ii
χ2011-1-11-1-11-1111ii−i−iii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-11111-1-1−ii−iii−ii−i11-1-11-1-11-1111ii−i−iii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-11111-1-1−ii−iii−ii−i
χ2111-1-11-1-11-1111−i−iii−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii11-1-11-1-11-1111−i−iii−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ2211-1-11-1-11-1111−i−iii−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111i−ii−ii−ii−i11-1-11-1-11-1111−i−iii−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111i−ii−ii−ii−i
χ2311-1-11-1-11-1111−i−iii−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-111−ii−iii−ii−i11-1-11-1-11-1111−i−iii−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-111−ii−iii−ii−i
χ2411-1-11-1-11-1111−i−iii−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-11111-1-1i−ii−i−ii−ii11-1-11-1-11-1111−i−iii−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-11111-1-1i−ii−i−ii−ii
χ2511-1-1-11-1-11111ii−i−i−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1-11-11i−i−iii−i−ii11-1-1-11-1-11111ii−i−i−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1-11-11i−i−iii−i−ii
χ2611-1-1-11-1-11111ii−i−i−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-111-11-1−iii−i−iii−i11-1-1-11-1-11111ii−i−i−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-111-11-1−iii−i−iii−i
χ2711-1-1-11-1-11111ii−i−i−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-11-111-1i−i−ii−iii−i11-1-1-11-1-11111ii−i−i−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-11-111-1i−i−ii−iii−i
χ2811-1-1-11-1-11111ii−i−i−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-11-1-11−iii−ii−i−ii11-1-1-11-1-11111ii−i−i−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-11-1-11−iii−ii−i−ii
χ2911-1-1-11-1-11111−i−iiiii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−iii−i-11-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-1-11-11−iii−i−iii−i11-1-1-11-1-11111−i−iiiii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−iii−i-11-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-1-11-11−iii−i−iii−i
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χ3211-1-1-11-1-11111−i−iiiii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-11-1-11i−i−ii−iii−i11-1-1-11-1-11111−i−iiiii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-11-1-11i−i−ii−iii−i
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χ592222-22-22-2-2−1−52−1+52-22-222-22-20000−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380000001+521−52−1−52−1+52−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ381+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−52−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000002222-22-22-2-2−1−52−1+52-22-222-22-20000−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380000001+521−52−1−52−1+52−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ381+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−52−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000000000000
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χ126111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ12711111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111
χ12811111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1
χ129111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ130111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ131111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1111111-1-1-1-1
χ132111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-11111
χ1331111-1-11-1-11111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-11-11-11-11-1-111-1-111
χ1341111-1-11-1-11111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-11-11-11-111-1-111-1-1
χ1351111-1-11-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-111-1-1-1-111-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1
χ1361111-1-11-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111
χ1371111-1-11-1-1111-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-111-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-11-1111-1-111-1-1
χ1381111-1-11-1-1111-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-1-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-111-1-111
χ1391111-1-11-1-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-11-1-11111-1-1-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-111
χ1401111-1-11-1-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-111-111-1-1-1-111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11111-1-1
χ14111-1-11-1-11-1111ii−i−iii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i-1-111-111-11-1-1-1−i−iii−i−iii-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−ii-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii
χ14211-1-11-1-11-1111ii−i−iii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii-1-111-111-11-1-1-1−i−iii−i−iii-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−ii-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1i−ii−ii−ii−i
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χ14411-1-11-1-11-1111ii−i−iii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii-1111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-11111-1-1−ii−iii−ii−i-1-111-111-11-1-1-1−i−iii−i−iii11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−ii−i1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1-1-111i−ii−i−ii−ii
χ14511-1-11-1-11-1111−i−iii−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii-1-111-111-11-1-1-1ii−i−iii−i−i-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−i-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i
χ14611-1-11-1-11-1111−i−iii−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111i−ii−ii−ii−i-1-111-111-11-1-1-1ii−i−iii−i−i-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−i-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−ii−ii−ii−ii
χ14711-1-11-1-11-1111−i−iii−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-111−ii−iii−ii−i-1-111-111-11-1-1-1ii−i−iii−i−i11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-11111-1-1i−ii−i−ii−ii
χ14811-1-11-1-11-1111−i−iii−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i-1111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-11111-1-1i−ii−i−ii−ii-1-111-111-11-1-1-1ii−i−iii−i−i11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1-1-111−ii−iii−ii−i
χ14911-1-1-11-1-11111ii−i−i−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1-11-11i−i−iii−i−ii-1-1111-111-1-1-1-1−i−iiiii−i−i-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11-111-11-1−iii−i−iii−i
χ15011-1-1-11-1-11111ii−i−i−i−iii11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-111-11-1−iii−i−iii−i-1-1111-111-1-1-1-1−i−iiiii−i−i-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-11-1-11-11i−i−iii−i−ii
χ15111-1-1-11-1-11111ii−i−i−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-11-111-1i−i−ii−iii−i-1-1111-111-1-1-1-1−i−iiiii−i−i11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−ii-1111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-11-1-11−iii−ii−i−ii
χ15211-1-1-11-1-11111ii−i−i−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-11-1-11−iii−ii−i−ii-1-1111-111-1-1-1-1−i−iiiii−i−i11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−ii-1111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-11-111-1i−i−ii−iii−i
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χ15411-1-1-11-1-11111−i−iiiii−i−i11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−iii−i-11-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-111-11-1i−i−iii−i−ii-1-1111-111-1-1-1-1ii−i−i−i−iii-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−ii1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-11-1-11-11−iii−i−iii−i
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χ15611-1-1-11-1-11111−i−iiiii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-11-1-11i−i−ii−iii−i-1-1111-111-1-1-1-1ii−i−i−i−iii11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i-1111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-11-111-1−iii−ii−i−ii
χ1572222222222−1+52−1−52222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000-2-2-2-2-2-2-2-2-2-21−521+52-2-2-2-2-2-2-2-2-2-2-2-21−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-2-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.