Finite Group Databasebeta

← Group #72321189

Character table — Group #72321189

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232
size11111111111111112222222222222222222222222222222244444444444444444444444444444444444444444444888888888888888816161616161616161111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order1222222244444444222244444444444488888888888888882244444444444444444488888888888888888888888822224444888888882444888822222222444444442222444444444444888888888888888822444444444444444444888888888888888888888888222244448888888824448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11-1-11-1-1111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11-1-11-1-111
χ101111111111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-111-111-1-11111111111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-111-111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-111-1-11111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-11-1-1111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-11-1-111
χ131111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1
χ141111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-111
χ151111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-111-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-111-1-1-111
χ161111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-11-1-1111-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-11-1-1111-1-1
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i-11-11i−ii−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i-11-11i−ii−i
χ1811111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii1-11-1−ii−ii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii1-11-1−ii−ii
χ1911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i1-11-1−ii−ii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i1-11-1−ii−ii
χ2011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii-11-11i−ii−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii-11-11i−ii−i
χ2111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii-11-11−ii−ii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii-11-11−ii−ii
χ2211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i1-11-1i−ii−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i1-11-1i−ii−i
χ2311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii1-11-1i−ii−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii1-11-1i−ii−i
χ2411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i-11-11−ii−ii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i-11-11−ii−ii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-1-111−iii−i11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-1-111−iii−i
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i11-1-1i−i−ii11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i11-1-1i−i−ii
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i-1-111−iii−i11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i-1-111−iii−i
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-1-111i−i−ii11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-1-111i−i−ii
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii11-1-1−iii−i11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii11-1-1−iii−i
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-111-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i11-1-1−iii−i11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-111-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i11-1-1−iii−i
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χ1271111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-111111-1-11-1-111
χ1281111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-1-111-111-1-1
χ1291111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111-1-1-111
χ1301111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-1-1111-1-1
χ1311111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-1
χ1321111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1-111
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χ13411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii1-11-1−ii−ii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-111-1-111-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i-11-11i−ii−i
χ13511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i1-11-1−ii−ii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii-11-11i−ii−i
χ13611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-111-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii−i−iii-11-11i−ii−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1-11-1−ii−ii
χ13711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii-11-11−ii−ii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-111-1-111-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i1-11-1i−ii−i
χ13811111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i1-11-1i−ii−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-111-1-111-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii-11-11−ii−ii
χ13911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii1-11-1i−ii−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i-11-11−ii−ii
χ14011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-111-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i-11-11−ii−ii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii1-11-1i−ii−i
χ14111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-1-111−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i11-1-1i−i−ii
χ14211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i11-1-1i−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii-1-111−iii−i
χ14311111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i-1-111−iii−i
χ14411111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i-1-111−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii
χ14511111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-1-111i−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii11-1-1−iii−i
χ14611111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii11-1-1−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i-1-111i−i−ii
χ14711111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-111-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i11-1-1−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii-1-111i−i−ii
χ14811111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-111-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii-1-111i−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i11-1-1−iii−i
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χ2122-2-2-222-222222-2-2-2-2-222-20000-222-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2-220000000000002-22-2-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000000000000000-2222-2-22-2-2-2-2-222222-2-2200002-2-220000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22-2000000000000-22-222-2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ2132-2-2-222-22-2-2-2-222222-2-220000-222-200002−2−222−2−22−222−2−222−22-20000000000002-2-22-222−2−22−222−22−2−22−222−22−2−22−222−2000000000000000000000000-2222-2-22-22222-2-2-2-2-222-200002-2-220000−222−2−222−22−2−222−2−22-22000000000000-222-22-2−222−22−2−22−222−22−2−22−222−22−2−22000000000000000000000000
χ2142-2-2-222-22-2-2-2-222222-2-220000-222-200002−2−222−2−22−222−2−222−2-22000000000000-222-22-2−222−22−2−222−2−22−222−2−222−22−2−22000000000000000000000000-2222-2-22-22222-2-2-2-2-222-200002-2-220000−222−2−222−22−2−222−2−222-20000000000002-2-22-222−2−22−222−2−222−22−2−222−2−22−222−2000000000000000000000000
χ2152-2-2-222-22-2-2-2-222222-2-220000-222-20000−222−2−222−22−2−222−2−222-20000000000002-2-22-22−222−22−2−22−222−22−2−22−222−22−2−22000000000000000000000000-2222-2-22-22222-2-2-2-2-222-200002-2-2200002−2−222−2−22−222−2−222−2-22000000000000-222-22-22−2−22−222−22−2−22−222−22−2−22−222−2000000000000000000000000
χ2162-2-2-222-22-2-2-2-222222-2-220000-222-20000−222−2−222−22−2−222−2−22-22000000000000-222-22-22−2−22−222−2−222−22−2−222−2−22−222−2000000000000000000000000-2222-2-22-22222-2-2-2-2-222-200002-2-2200002−2−222−2−22−222−2−222−22-20000000000002-2-22-22−222−22−2−222−2−22−222−2−222−22−2−22000000000000000000000000
χ2172-2-2-222-22-2-2-2-22222-222-200002-2-2200002−2−222−2−22−222−2−222−22-2000000000000-222-2-22−222−22−2−22−222−22−2−222−2−22−222−2000000000000000000000000-2222-2-22-22222-2-2-2-22-2-220000-222-20000−222−2−222−22−2−222−2−22-220000000000002-2-222-22−2−22−222−22−2−22−222−2−222−22−2−22000000000000000000000000
χ2182-2-2-222-22-2-2-2-22222-222-200002-2-2200002−2−222−2−22−222−2−222−2-220000000000002-2-222-22−2−22−222−2−222−22−2−22−222−22−2−22000000000000000000000000-2222-2-22-22222-2-2-2-22-2-220000-222-20000−222−2−222−22−2−222−2−222-2000000000000-222-2-22−222−22−2−222−2−22−222−22−2−22−222−2000000000000000000000000
χ2192-2-2-222-22-2-2-2-22222-222-200002-2-220000−222−2−222−22−2−222−2−222-2000000000000-222-2-222−2−22−222−22−2−22−222−2−222−22−2−22000000000000000000000000-2222-2-22-22222-2-2-2-22-2-220000-222-200002−2−222−2−22−222−2−222−2-220000000000002-2-222-2−222−22−2−22−222−22−2−222−2−22−222−2000000000000000000000000
χ2202-2-2-222-22-2-2-2-22222-222-200002-2-220000−222−2−222−22−2−222−2−22-220000000000002-2-222-2−222−22−2−222−2−22−222−22−2−22−222−2000000000000000000000000-2222-2-22-22222-2-2-2-22-2-220000-222-200002−2−222−2−22−222−2−222−22-2000000000000-222-2-222−2−22−222−2−222−22−2−22−222−22−2−22000000000000000000000000
χ221444-4-4-4-444-4-4444-4-400000000000000002i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000000000000000000000000000000000-4-4-44444-4-444-4-4-4440000000000000000−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ222444-4-4-4-444-4-4444-4-40000000000000000−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000000000000000000000000000000000-4-4-44444-4-444-4-4-44400000000000000002i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000000000000000000000000000000000
χ223444-4-4-4-44-444-4-4-44400000000000000002222−22−22−22−222222−22−2222222222−22−2200000000000000000000000000000000000000000000000000000000000000000000-4-4-44444-44-4-4444-4-40000000000000000−22−2222222222−22−222222−22−22−22−22222200000000000000000000000000000000000000000000000000000000000000000000
χ224444-4-4-4-44-444-4-4-4440000000000000000−22−2222222222−22−222222−22−22−22−22222200000000000000000000000000000000000000000000000000000000000000000000-4-4-44444-44-4-4444-4-400000000000000002222−22−22−22−222222−22−2222222222−22−2200000000000000000000000000000000000000000000000000000000000000000000
χ22544-444-4-4-44i4i−4i−4i4i−4i4i−4i0000-4-4440000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000-4-44-4-4444−4i−4i4i4i−4i4i−4i4i000044-4-400004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ22644-444-4-4-4−4i−4i4i4i−4i4i−4i4i0000-4-44400004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000-4-44-4-44444i4i−4i−4i4i−4i4i−4i000044-4-40000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2274-44-44-44-44i4i−4i−4i−4i4i−4i4i00000000000000002−2i−2+2i−2+2i2−2i−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i−2−2i2+2i2+2i−2−2i00000000000000000000000000000000000000000000000000000000000000000000-44-44-44-44−4i−4i4i4i4i−4i4i−4i0000000000000000−2+2i2−2i2−2i−2+2i2−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i2+2i−2−2i−2−2i2+2i00000000000000000000000000000000000000000000000000000000000000000000
χ2284-44-44-44-44i4i−4i−4i−4i4i−4i4i0000000000000000−2+2i2−2i2−2i−2+2i2−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i2+2i−2−2i−2−2i2+2i00000000000000000000000000000000000000000000000000000000000000000000-44-44-44-44−4i−4i4i4i4i−4i4i−4i00000000000000002−2i−2+2i−2+2i2−2i−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i−2−2i2+2i2+2i−2−2i00000000000000000000000000000000000000000000000000000000000000000000
χ2294-44-44-44-4−4i−4i4i4i4i−4i4i−4i00000000000000002+2i−2−2i−2−2i2+2i−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i−2+2i2−2i2−2i−2+2i00000000000000000000000000000000000000000000000000000000000000000000-44-44-44-444i4i−4i−4i−4i4i−4i4i0000000000000000−2−2i2+2i2+2i−2−2i2+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i2−2i−2+2i−2+2i2−2i00000000000000000000000000000000000000000000000000000000000000000000
χ2304-44-44-44-4−4i−4i4i4i4i−4i4i−4i0000000000000000−2−2i2+2i2+2i−2−2i2+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i2−2i−2+2i−2+2i2−2i00000000000000000000000000000000000000000000000000000000000000000000-44-44-44-444i4i−4i−4i−4i4i−4i4i00000000000000002+2i−2−2i−2−2i2+2i−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i−2+2i2−2i2−2i−2+2i00000000000000000000000000000000000000000000000000000000000000000000
χ2314-4-44-4-4444-4-44-4-44400004-4-44000044-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000-444-444-4-4-444-444-4-40000-444-40000-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2324-4-44-4-444-444-444-4-400004-4-440000-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000-444-444-4-44-4-44-4-4440000-444-4000044-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.