Finite Group Databasebeta

← Group #13139353

Character table — Group #13139353

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size111111112222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444466666666121212121212121212121212121212121212121212121212121212121212121218181818181818182727272727272727363636363636363654545454
order122244442233446666669991212121212121212181818181818181818363636363636363636363636366666666666999121212121212121212121212181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636363636363636888888882424242424242424727272727272727272727272727272727272727272727272888888884444444424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ511111111-1-111-1-1111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111-1-111-1-1111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111-1-111-1-1111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111-1-111-1-1111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1
χ101111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−iii−i−iii-1-111
χ111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiiii−i−iii−i−i-1-1-1-11111ii−i−iii−i−i-1-111
χ121111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1
χ131111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii1111-1-1-1-1ii−i−i−i−iii-1-111
χ141111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i11-1-1
χ151111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−iii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii11-1-1
χ161111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i1111-1-1-1-1−i−iiiii−i−i-1-111
χ171-11-1ii−i−i1-111i−i1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-11-11-111-1-1-1111ii−i−iii−i−iii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1iii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ3911-1-1ii−i−iζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ391-1i−i
χ181-11-1ii−i−i1-111i−i1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-11-11-111-1-1-1111ii−i−iii−i−iii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1iii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39-1-111−i−iii−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39-11−ii
χ191-11-1ii−i−i1-111i−i1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-11-11-111-1-1-1111ii−i−iii−i−iii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1iii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39-1-111−i−iiiζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39-11−ii
χ201-11-1ii−i−i1-111i−i1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-11-11-111-1-1-1111ii−i−iii−i−iii−i−i111-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1iii−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ3911-1-1ii−i−i−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ391-1i−i
χ211-11-1ii−i−i-1111−ii1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-11-111-1-1-111-1111−i−iiiii−i−i−i−iii-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ3911-1-1ii−i−iζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39-11−ii
χ221-11-1ii−i−i-1111−ii1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-11-111-1-1-111-1111−i−iiiii−i−i−i−iii-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39-1-111−i−iii−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ391-1i−i
χ231-11-1ii−i−i-1111−ii1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-11-111-1-1-111-1111−i−iiiii−i−i−i−iii-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39-1-111−i−iiiζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ391-1i−i
χ241-11-1ii−i−i-1111−ii1-11-1-1-1111ii−i−iii−i−i111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-11-111-1-1-111-1111−i−iiiii−i−i−i−iii-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ3911-1-1ii−i−i−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39-11−ii
χ251-11-1−i−iii1-111−ii1-11-1-1-1111−i−iii−i−iii111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-11-11-111-1-1-1111−i−iii−i−iii−i−iii111-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ6911-1-1−i−iii−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ691-1−ii
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χ582222-2-2-2-2222-1-2-222-1-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681111-2-2-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-122-1-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-21-2111111111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−2i−2i2i2i−2i−2i2i2iii−i−iii−i−i−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ700000000000000000000000000000
χ592222-2-2-2-2222-1-2-222-1-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521111-2-2-2-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-122-1-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-21-2111111111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ522i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ700000000000000000000000000000
χ602222-2-2-2-2222-1-2-222-1-12-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521111-2-2-2-2−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52-122-1-1-1-1-1-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-21-2111111111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ70−ζ14−ζ22ζ14+ζ62−ζ70ζ22−ζ62+ζ700000000000000000000000000000
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χ2024-4-44−4i4i4i−4i00-2-2002-22-2222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682i−2i−2i2i2i−2i−2i2i−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ7010000-11-333-3-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000−iii−i3i−3i−3i3i000000ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ7000000000000000000000000000000000000000000000000000000000000000000000
χ2034-4-44−4i4i4i−4i00-2-2002-22-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i−2i2i2i−2i−2i2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7010000-113-3-33-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000−iii−i−3i3i3i−3i000000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ7000000000000000000000000000000000000000000000000000000000000000000000
χ2044-4-44−4i4i4i−4i00-2-2002-22-222−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i−2i2i2i−2i−2i2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ7010000-11-333-3-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000−iii−i3i−3i−3i3i000000−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4−2ζ44+2ζ52−ζ68−ζ4+2ζ44−2ζ52+ζ68−2ζ4+ζ44−ζ52−ζ682ζ4−ζ44+ζ52+ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ44+ζ52−2ζ68−ζ4+2ζ44−2ζ52+ζ68ζ4−2ζ44+2ζ52−ζ682ζ4−ζ44+ζ52+ζ68−2ζ4+ζ44−ζ52−ζ68−ζ4−ζ44+ζ52−2ζ68ζ4+ζ44−ζ52+2ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14+2ζ22−ζ62+ζ70−ζ14−2ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−ζ14+ζ22−2ζ62+2ζ70ζ14−ζ22+2ζ62−2ζ70−ζ14−2ζ22+ζ62−ζ70ζ14+2ζ22−ζ62+ζ702ζ14+ζ22+ζ62−ζ70−2ζ14−ζ22−ζ62+ζ7000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.