Finite Group Databasebeta

← Group #72322705

Character table — Group #72322705

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248
size11111111222222222222222222224444444444444444444444444444888888888888888888888888888888888888888888881616161616161616161616161616161632323232323232321111111122222222222222222222444444444444444444444444444488888888888888888888888888888888888888888888161616161616161616161616161616163232323232323232
order1222222222224444444444444444444488888888888888888888888822222222444444448888888888888888888888888888161616161616161616161616161616162444888822222222222244444444444444444444888888888888888888888888222222224444444488888888888888888888888888881616161616161616161616161616161624448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−i11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−i
χ1011111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−ii−ii11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−ii−ii
χ1111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i-1-111−ii−ii11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i-1-111−ii−ii
χ1211111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiii11-1-1i−ii−i11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiii11-1-1i−ii−i
χ1311111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii
χ1411111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111i−ii−i11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111i−ii−i
χ1511111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111i−ii−i11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111i−ii−i
χ1611111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−ii−ii11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−ii−ii
χ1711111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−i−ii11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−i−ii
χ1811111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii-11-11−iii−i11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii-11-11−iii−i
χ1911111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-11-11−iii−i11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-11-11−iii−i
χ2011111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-11-1i−i−ii11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-11-1i−i−ii
χ2111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-11-1−iii−i11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-11-1−iii−i
χ2211111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-11-11i−i−ii11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-11-11i−i−ii
χ2311111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-11-11i−i−ii11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-11-11i−i−ii
χ2411111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-11-1−iii−i11111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-11-1−iii−i
χ2511111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1111-1-1
χ2611111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-1-111
χ2711111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-111
χ2811111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1111-1-1
χ2911111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-11-1-11-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-11-1-11-1-111
χ3011111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-111-1-1
χ3111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-111-1-1
χ3211111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111-1-11-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111-1-11-1-111
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χ3522222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-2-2-222220000000000000000-2-222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000022222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-2-2-222220000000000000000-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ3622222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-2-2-222220000000000000000-2-2222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000022222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-2-2-222220000000000000000-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ3722222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-2-2-22222000000000000000022-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000022222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-2-2-22222000000000000000022-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ3822222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-2-2-2-22222000000000000000022-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000022222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-2-2-2-22222000000000000000022-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ3922222222-2-2-2-222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-22222-2-2000000000000000000000000000000000000000022222222-2-2-2-222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-22222-2-20000000000000000000000000000000000000000
χ4022222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-222000000000000000000000000000000000000000022222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-2220000000000000000000000000000000000000000
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χ13711111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-111i−ii−i
χ13811111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii
χ13911111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i11-1-1−ii−ii
χ14011111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii-1-111i−ii−i
χ14111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−i−ii-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iii-11-11−iii−i
χ14211111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii-11-11−iii−i-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i1-11-1i−i−ii
χ14311111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-11-11−iii−i-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii1-11-1i−i−ii
χ14411111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-11-1i−i−ii-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i-11-11−iii−i
χ14511111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-11-1−iii−i-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i-11-11i−i−ii
χ14611111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-11-11i−i−ii-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii1-11-1−iii−i
χ14711111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-11-11i−i−ii-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i1-11-1−iii−i
χ14811111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-11-1−iii−i-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii-11-11i−i−ii
χ14911111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-111
χ15011111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1111-1-1
χ15111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-1111-1-1
χ15211111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-1-111
χ15311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-11-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-111-1-1
χ15411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-11-1-111
χ15511111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-1-111
χ15611111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-111-111-1-1
χ157222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002222222222220000000000000000000000000000000000000000
χ15822222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222220000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222222200000000000000002222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ15922222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-2-2-222220000000000000000-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2222222-2-222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2222-2-2-2-2000000000000000022-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ16022222222222222-2-2-2-2-2-222-2-2-2-2-2-222-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-2-2-222220000000000000000-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2222222-2-2222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2222-2-2-2-2000000000000000022-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ16122222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-2-2-22222000000000000000022-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222222222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2222-2-2-2-20000000000000000-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ16222222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-2-2-2-22222000000000000000022-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222222222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2222-2-2-2-20000000000000000-2-222−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ16322222222-2-2-2-222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-22222-2-20000000000000000000000000000000000000000-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2222222220000000000000000-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000
χ16422222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-2220000000000000000000000000000000000000000-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222220000000000000000-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000
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χ23644-444-4-4-40000-440000−4i4i-444i−4i4i−4i−4i4i00000000−4ζ34ζ34ζ3−4ζ34ζ−4ζ−4ζ4ζ00000000000000000000000000000000000000000000000000000000000000000000000000000000-4-44-4-444400004-400004i−4i4-4−4i4i−4i4i4i−4i000000004ζ3−4ζ3−4ζ34ζ3−4ζ4ζ4ζ−4ζ00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2374-4-44-4-444000044000044-4-4-4-444-4-400004i−4i−4i4i00000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000-444-444-4-40000-4-40000-4-44444-4-4440000−4i4i4i−4i000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ2384-4-44-4-444000044000044-4-4-4-444-4-40000−4i4i4i−4i000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000-444-444-4-40000-4-40000-4-44444-4-44400004i−4i−4i4i00000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ2394-4-44-4-4440000440000-4-4-4-444-4-44400004-4-44000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000-444-444-4-40000-4-400004444-4-444-4-40000-444-400000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ2404-4-44-4-4440000440000-4-4-4-444-4-4440000-444-400000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000-444-444-4-40000-4-400004444-4-444-4-400004-4-44000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ241888-8-8-88-80000008i−8i8i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-8-8-8888-88000000−8i8i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ242888-8-8-88-8000000−8i8i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-8-8-8888-880000008i−8i8i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ24388-8-8-88-888-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-8-8888-88-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ24488-8-8-88-88-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-8-8888-88-88-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2458-88-88-8-880000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-88-88-888-8000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2468-88-88-8-88000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-88-88-888-80000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2478-8-8-8888-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-8888-8-8-88-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2488-8-8-8888-8-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-8888-8-8-888-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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