Finite Group Databasebeta

← Group #13157100

Character table — Group #13157100

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222444444444444444444444444444444449999999918181818181818181818181818181818181818181111111122224444444444444444444444444444444499999999181818181818181818181818181818181818181811111111222244444444444444444444444444444444999999991818181818181818181818181818181818181818
order1222444488883366666612121212121212122424242424242424242424242424242488888888444416161616161616161616161616161616366612121212242424243366666612121212121212122424242424242424242424242424242424242424242424241212121248484848484848484848484848484848366612121212242424243366666612121212121212122424242424242424242424242424242424242424242424241212121248484848484848484848484848484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ101111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ111111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ121111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ131111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ141111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ151111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ161111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1711-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13
χ1811-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13
χ1911-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23
χ2011-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2311-1-111-1-11-11-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23
χ2111-1-111-1-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1311-1-111-1-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1311-1-111-1-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−ii−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13
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χ7511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22
χ7611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22
χ7711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ7811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ7911111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22
χ8011111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22
χ811111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−ζ23−ζ23ζ23ζ23−ζ5−ζ5ζ5ζ5−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ23−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−ζ7−ζ7ζ7ζ7−ζ13−ζ13ζ13ζ13−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ7
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χ14711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14
χ14811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14
χ14911111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ15011111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ15111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14
χ15211111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14
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χ20044-4-4-4-444−4i4i4i−4i-212-12-1-21-21-212-12-12i2i−i−i−2i−2iii−2i−2iii2i2i−i−i0000000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i32+2i3−2−2i3−2−2i3−4ζ224ζ224ζ22−4ζ221+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i322ζ222ζ22−ζ22−ζ22−2ζ22−2ζ22ζ22ζ22−2ζ22−2ζ22ζ22ζ222ζ222ζ22−ζ22−ζ220000000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i32−2i3−2+2i3−2+2i3−4ζ144ζ144ζ14−4ζ141−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i322ζ142ζ14−ζ14−ζ14−2ζ14−2ζ14ζ14ζ14−2ζ14−2ζ14ζ14ζ142ζ142ζ14−ζ14−ζ140000000000000000000000000000
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χ2024-44-44i−4i4i−4i00001-21-2-12-12i−2i−i2ii−2i−i2i−3ζ7−3ζ233ζ7+3ζ2300−3ζ7−3ζ233ζ7+3ζ2300−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ224ζ22−4ζ220000−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3ζ22−2ζ22−ζ222ζ22ζ22−2ζ22−ζ222ζ223ζ7−3ζ7003ζ7−3ζ7003ζ13−3ζ13003ζ13−3ζ13000000000000000000000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ144ζ14−4ζ140000−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3ζ14−2ζ14−ζ142ζ14ζ14−2ζ14−ζ142ζ143ζ23−3ζ23003ζ23−3ζ23003ζ5−3ζ5003ζ5−3ζ5000000000000000000000000000000
χ2034-44-44i−4i4i−4i0000-21-212-12-1−2ii2i−i−2ii2i−i003ζ7+3ζ23−3ζ7−3ζ23003ζ7+3ζ23−3ζ7−3ζ23003ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ224ζ22−4ζ2200001+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−2ζ22ζ222ζ22−ζ22−2ζ22ζ222ζ22−ζ2200−3ζ73ζ700−3ζ73ζ700−3ζ133ζ1300−3ζ133ζ130000000000000000000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ144ζ14−4ζ1400001−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−2ζ14ζ142ζ14−ζ14−2ζ14ζ142ζ14−ζ1400−3ζ233ζ2300−3ζ233ζ2300−3ζ53ζ500−3ζ53ζ50000000000000000000000000000
χ2044-44-44i−4i4i−4i0000-21-212-12-1−2ii2i−i−2ii2i−i00−3ζ7−3ζ233ζ7+3ζ2300−3ζ7−3ζ233ζ7+3ζ2300−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ224ζ22−4ζ2200001+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−2ζ22ζ222ζ22−ζ22−2ζ22ζ222ζ22−ζ22003ζ7−3ζ7003ζ7−3ζ7003ζ13−3ζ13003ζ13−3ζ130000000000000000000000000000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ144ζ14−4ζ1400001−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−2ζ14ζ142ζ14−ζ14−2ζ14ζ142ζ14−ζ14003ζ23−3ζ23003ζ23−3ζ23003ζ5−3ζ5003ζ5−3ζ50000000000000000000000000000
χ2054-44-4−4i4i−4i4i00001-21-2-12-12−i2ii−2i−i2ii−2i3ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ7+3ζ23−3ζ7−3ζ23003ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−4ζ224ζ220000−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−ζ222ζ22ζ22−2ζ22−ζ222ζ22ζ22−2ζ22−3ζ133ζ1300−3ζ133ζ1300−3ζ73ζ700−3ζ73ζ7000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−4ζ144ζ140000−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−ζ142ζ14ζ14−2ζ14−ζ142ζ14ζ14−2ζ14−3ζ53ζ500−3ζ53ζ500−3ζ233ζ2300−3ζ233ζ23000000000000000000000000000000
χ2064-44-4−4i4i−4i4i00001-21-2-12-12−i2ii−2i−i2ii−2i−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ7−3ζ233ζ7+3ζ2300−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−4ζ224ζ220000−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−ζ222ζ22ζ22−2ζ22−ζ222ζ22ζ22−2ζ223ζ13−3ζ13003ζ13−3ζ13003ζ7−3ζ7003ζ7−3ζ7000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−4ζ144ζ140000−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−ζ142ζ14ζ14−2ζ14−ζ142ζ14ζ14−2ζ143ζ5−3ζ5003ζ5−3ζ5003ζ23−3ζ23003ζ23−3ζ23000000000000000000000000000000
χ2074-44-4−4i4i−4i4i0000-21-212-12-12i−i−2ii2i−i−2ii003ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ7+3ζ23−3ζ7−3ζ23003ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−4ζ224ζ2200001+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i322ζ22−ζ22−2ζ22ζ222ζ22−ζ22−2ζ22ζ2200−3ζ133ζ1300−3ζ133ζ1300−3ζ73ζ700−3ζ73ζ70000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−4ζ144ζ1400001−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i322ζ14−ζ14−2ζ14ζ142ζ14−ζ14−2ζ14ζ1400−3ζ53ζ500−3ζ53ζ500−3ζ233ζ2300−3ζ233ζ230000000000000000000000000000
χ2084-44-4−4i4i−4i4i0000-21-212-12-12i−i−2ii2i−i−2ii00−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ7−3ζ233ζ7+3ζ2300−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−4ζ224ζ2200001+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i322ζ22−ζ22−2ζ22ζ222ζ22−ζ22−2ζ22ζ22003ζ13−3ζ13003ζ13−3ζ13003ζ7−3ζ7003ζ7−3ζ70000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−4ζ144ζ1400001−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i322ζ14−ζ14−2ζ14ζ142ζ14−ζ14−2ζ14ζ14003ζ5−3ζ5003ζ5−3ζ5003ζ23−3ζ23003ζ23−3ζ230000000000000000000000000000
χ2094-4-444i−4i−4i4i00001-2-121-2-12−i2ii−2ii−2i−i2i3ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ220000−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ22ζ22−2ζ22−ζ222ζ22−3ζ73ζ7003ζ7−3ζ700−3ζ133ζ13003ζ13−3ζ13000000000000000000000000000000−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ140000−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ14ζ14−2ζ14−ζ142ζ14−3ζ233ζ23003ζ23−3ζ2300−3ζ53ζ5003ζ5−3ζ5000000000000000000000000000000
χ2104-4-444i−4i−4i4i00001-2-121-2-12−i2ii−2ii−2i−i2i−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ220000−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ22ζ22−2ζ22−ζ222ζ223ζ7−3ζ700−3ζ73ζ7003ζ13−3ζ1300−3ζ133ζ13000000000000000000000000000000−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ140000−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ14ζ14−2ζ14−ζ142ζ143ζ23−3ζ2300−3ζ233ζ23003ζ5−3ζ500−3ζ53ζ5000000000000000000000000000000
χ2114-4-444i−4i−4i4i0000-212-1-212-12i−i−2ii−2ii2i−i003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ2200001+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ22−2ζ22ζ222ζ22−ζ2200−3ζ73ζ7003ζ7−3ζ700−3ζ133ζ13003ζ13−3ζ130000000000000000000000000000−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ1400001−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ14−2ζ14ζ142ζ14−ζ1400−3ζ233ζ23003ζ23−3ζ2300−3ζ53ζ5003ζ5−3ζ50000000000000000000000000000
χ2124-4-444i−4i−4i4i0000-212-1-212-12i−i−2ii−2ii2i−i00−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ2200001+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ22−2ζ22ζ222ζ22−ζ22003ζ7−3ζ700−3ζ73ζ7003ζ13−3ζ1300−3ζ133ζ130000000000000000000000000000−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ1400001−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ14−2ζ14ζ142ζ14−ζ14003ζ23−3ζ2300−3ζ233ζ23003ζ5−3ζ500−3ζ53ζ50000000000000000000000000000
χ2134-4-44−4i4i4i−4i00001-2-121-2-12i−2i−i2i−i2ii−2i3ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ220000−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ22−ζ222ζ22ζ22−2ζ22−3ζ133ζ13003ζ13−3ζ1300−3ζ73ζ7003ζ7−3ζ7000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ140000−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ14−ζ142ζ14ζ14−2ζ14−3ζ53ζ5003ζ5−3ζ500−3ζ233ζ23003ζ23−3ζ23000000000000000000000000000000
χ2144-4-44−4i4i4i−4i00001-2-121-2-12i−2i−i2i−i2ii−2i−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ220000−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ22−ζ222ζ22ζ22−2ζ223ζ13−3ζ1300−3ζ133ζ13003ζ7−3ζ700−3ζ73ζ7000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ140000−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ14−ζ142ζ14ζ14−2ζ143ζ5−3ζ500−3ζ53ζ5003ζ23−3ζ2300−3ζ233ζ23000000000000000000000000000000
χ2154-4-44−4i4i4i−4i0000-212-1-212-1−2ii2i−i2i−i−2ii003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ2200001+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ222ζ22−ζ22−2ζ22ζ2200−3ζ133ζ13003ζ13−3ζ1300−3ζ73ζ7003ζ7−3ζ70000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ1400001−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ142ζ14−ζ14−2ζ14ζ1400−3ζ53ζ5003ζ5−3ζ500−3ζ233ζ23003ζ23−3ζ230000000000000000000000000000
χ2164-4-44−4i4i4i−4i0000-212-1-212-1−2ii2i−i2i−i−2ii00−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ2200001+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ222ζ22−ζ22−2ζ22ζ22003ζ13−3ζ1300−3ζ133ζ13003ζ7−3ζ700−3ζ73ζ70000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ1400001−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ142ζ14−ζ14−2ζ14ζ14003ζ5−3ζ500−3ζ53ζ5003ζ23−3ζ2300−3ζ233ζ230000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.