Finite Group Databasebeta

← Group #12097690

Character table — Group #12097690

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size11111111111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888101010101010101010101010101010101010101010101010101010101010101020202020202020202020202020202020
order1222222244444444558888888888888888101010101010101010101010101020202020202020202020202020202020222244444444888888881010101010101010202020202020202040404040404040404040404040404040404040404040404040404040404040401010101020202020202020202020202040404040404040404040404040404040444444444444444488888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ12111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1711111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−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−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−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−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ2011111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i
χ2111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111−i−iiiii−i−i
χ2211111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1ii−i−i−i−iii
χ2311111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−iiiii−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−iiiiiiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iii−i−iii
χ2411111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−iiiii−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−iiiiiiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111ii−i−iii−i−i
χ2511111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−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−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111ii−i−i−i−iii
χ2611111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−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−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1−i−iiiii−i−i
χ2711111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−iii−i−i
χ2811111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−i−iii−i−iii
χ2911111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ3011111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i
χ3111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−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-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ3211111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−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-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii
χ331111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-11-11-11-11-11-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−ii−ii−ii−ii−i
χ341111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-11-11-11-11-11-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii−ii−ii−ii−ii
χ351111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-11-111-1-11-11-11-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−iii−ii−i−ii−ii
χ361111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-11-111-1-11-11-11-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i−ii−iii−ii−i
χ371111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-11-11-111-11-11-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−ii−ii−ii−ii−ii−iii−ii−i
χ381111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-11-11-111-11-11-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−ii−ii−ii−ii−ii−ii−i−ii−ii
χ391111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-111-11-1-11-11-11-111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−ii−iii−ii−i−ii−ii−ii−ii
χ401111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-111-11-1-11-11-11-111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiii−ii−i−ii−iii−ii−ii−ii−i
χ411111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-11-11-111-1-11-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−ii−ii−ii−iii−ii−i−ii−ii
χ421111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-11-11-111-1-11-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiii−ii−ii−ii−i−ii−iii−ii−i
χ431111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-111-11-1-11-111-11-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−iii−ii−ii−ii−ii−ii−i
χ441111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-111-11-1-11-111-11-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−i−ii−ii−ii−ii−ii−ii
χ451111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-11-11-11-11-1-11-11-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i−ii−ii−ii−ii
χ461111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-11-11-11-11-1-11-11-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−iii−ii−ii−ii−i
χ471111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-11-111-1-111-11-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii−ii−iii−ii−i
χ481111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-11-111-1-111-11-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−ii−ii−i−ii−ii
χ491111-1-1-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11-11-1-11-11-11i−i−iii−i−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1i−i−iii−i−ii-111-1-111-1
χ501111-1-1-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11-11-1-11-11-11i−i−iii−i−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-111-1-11
χ511111-1-1-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11-111-1-111-1−iii−i−iii−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111i−i−ii−iii−i-111-11-1-11
χ521111-1-1-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11-111-1-111-1−iii−i−iii−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1−iii−ii−i−ii1-1-11-111-1
χ531111-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-111-11-1-11i−i−ii−iii−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-111-1-1-1-111−iii−i−iii−i1-1-11-111-1
χ541111-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-111-11-1-11i−i−ii−iii−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-1-11111-1-1i−i−iii−i−ii-111-11-1-11
χ551111-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-1−iii−ii−i−ii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−iii−ii−i−ii1-1-111-1-11
χ561111-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-1−iii−ii−i−ii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-1-1-111i−i−ii−iii−i-111-1-111-1
χ571111-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-111-11-1-11−iii−ii−i−ii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-1-11111-1-1−iii−i−iii−i-111-11-1-11
χ581111-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-111-11-1-11−iii−ii−i−ii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-111-1-1-1-111i−i−iii−i−ii1-1-11-111-1
χ591111-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-1i−i−ii−iii−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−iii−ii−i−ii-111-1-111-1
χ601111-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-1i−i−ii−iii−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-1-11111-1-1i−i−ii−iii−i1-1-111-1-11
χ611111-1-1-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11-11-1-11-11-11−iii−i−iii−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-111-1-11
χ621111-1-1-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11-11-1-11-11-11−iii−i−iii−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−iii−i−iii−i-111-1-111-1
χ631111-1-1-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11-111-1-111-1i−i−iii−i−ii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1i−i−ii−iii−i1-1-11-111-1
χ641111-1-1-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11-111-1-111-1i−i−iii−i−ii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111−iii−ii−i−ii-111-11-1-11
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χ2114-4-44-4-444-4-444-4-444−1−5−1+5000000004-4-44-444-41+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−5−1−5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2124-4-44-4-444-4-444-4-444−1−5−1+500000000-444-44-4-441+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−5−1−5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000001+5−1−51−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.