Finite Group Databasebeta

← Group #12022012

Character table — Group #12022012

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236
size11111111111111112222222222222222222222222222222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444202020202020202020202020202020204040404040404040
order1222222222222222444444444444444455101010101010101010101010101010101010101010101010101010101010202020202020202020202020202020202020202020202020202020202020202022222222444444444444101010101010101010101010101010101010101010101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
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χ21544-4-44-4-44-4-44444-4-40000000000000000−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51−5−1+5−1+5−1+5−1+51−51−51+51+5−1−5−1−5−1−5−1−51+51+51−51−51+51+5−1+5−1−52ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ21644-4-44-4-44-4-44444-4-40000000000000000−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51−5−1+5−1+5−1+5−1+51−51−51+51+5−1−5−1−5−1−5−1−51+51+51−51−51+51+5−1+5−1−5−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ1800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ21744-4-44-4-44-4-44444-4-40000000000000000−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51+5−1−5−1−5−1−5−1−51+51+51−51−5−1+5−1+5−1+5−1+51−51−51+51+51−51−5−1−5−1+5−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ21844-4-44-4-44-4-44444-4-40000000000000000−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51+5−1−5−1−5−1−5−1−51+51+51−51−5−1+5−1+5−1+5−1+51−51−51+51+51−51−5−1−5−1+52ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2194-444-4-4-444-44-4-44-44000000000000000044-444-4-444-44-44-4-44-444-44-4-44-44-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2204-444-4-4-444-44-4-44-440000000000000000−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+5−1+51−5−1+51−51−5−1+51−5−1+5−1−51+5−1−51+51+5−1−51+5−1−51−51−51+51+5−1+5−1−52ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2214-444-4-4-444-44-4-44-440000000000000000−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+5−1+51−5−1+51−51−5−1+51−5−1+5−1−51+5−1−51+51+5−1−51+5−1−51−51−51+51+5−1+5−1−5−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2224-444-4-4-444-44-4-44-440000000000000000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5−1−51+5−1−51+51+5−1−51+5−1−5−1+51−5−1+51−51−5−1+51−5−1+51+51+51−51−5−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2234-444-4-4-444-44-4-44-440000000000000000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5−1−51+5−1−51+51+5−1−51+5−1−5−1+51−5−1+51−51−5−1+51−5−1+51+51+51−51−5−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2244-444-4-4-44-44-444-44-4000000000000000044-444-4-444-4-44-444-44-4-44-444-44-4-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2254-444-4-4-44-44-444-44-40000000000000000−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51−5−1+5−1+51−5−1+51−51+5−1−51+5−1−5−1−51+5−1−51+51−51−51+51+5−1+5−1−52ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2264-444-4-4-44-44-444-44-40000000000000000−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51−5−1+5−1+51−5−1+51−51+5−1−51+5−1−5−1−51+5−1−51+51−51−51+51+5−1+5−1−5−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2274-444-4-4-44-44-444-44-40000000000000000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−51+5−1−5−1−51+5−1−51+51−5−1+51−5−1+5−1+51−5−1+51−51+51+51−51−5−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2284-444-4-4-44-44-444-44-40000000000000000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−51+5−1−5−1−51+5−1−51+51−5−1+51−5−1+5−1+51−5−1+51−51+51+51−51−5−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2294-4-4444-4-44-4-44-444-4000000004i−4i4i−4i4i−4i4i−4i−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−51−5−1+51−5−1+5−1+51−5−1−51+51+5−1−51+5−1−5−1−51+5−1+51−5−1−51+51−51+5−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2304-4-4444-4-44-4-44-444-4000000004i−4i4i−4i4i−4i4i−4i−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+51+5−1−51+5−1−5−1−51+5−1+51−51−5−1+51−5−1+5−1+51−5−1−51+5−1+51−51+51−5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2314-4-4444-4-44-4-44-444-400000000−4i4i−4i4i−4i4i−4i4i−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−51−5−1+51−5−1+5−1+51−5−1−51+51+5−1−51+5−1−5−1−51+5−1+51−5−1−51+51−51+52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2324-4-4444-4-44-4-44-444-400000000−4i4i−4i4i−4i4i−4i4i−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+51+5−1−51+5−1−5−1−51+5−1+51−51−5−1+51−5−1+5−1+51−5−1−51+5−1+51−51+51−52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2334-4-4444-4-4-444-44-4-44000000004i−4i4i−4i−4i4i−4i4i−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−5−1+5−1+51−5−1+51−51−5−1+51+5−1−5−1−51+5−1−51+51+5−1−5−1+51−5−1−51+51−51+5−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2344-4-4444-4-4-444-44-4-44000000004i−4i4i−4i−4i4i−4i4i−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+5−1−5−1−51+5−1−51+51+5−1−51−5−1+5−1+51−5−1+51−51−5−1+5−1−51+5−1+51−51+51−5−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2354-4-4444-4-4-444-44-4-4400000000−4i4i−4i4i4i−4i4i−4i−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−5−1+5−1+51−5−1+51−51−5−1+51+5−1−5−1−51+5−1−51+51+5−1−5−1+51−5−1−51+51−51+52ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2364-4-4444-4-4-444-44-4-4400000000−4i4i−4i4i4i−4i4i−4i−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+5−1−5−1−51+5−1−51+51+5−1−51−5−1+5−1+51−5−1+51−51−5−1+5−1−51+5−1+51−51+51−52ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.