Finite Group Databasebeta

← Group #72322142

Character table — Group #72322142

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224
size11112222222222222222222222444444444444444488888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616323232321111222222222222222222222244444444444444448888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232
order12222222224444444444448888444444888888888888888888888888888816161616161616161616161616161616222222444444444488888888161616161616161688882222222222444444444444888844444488888888888888888888888888881616161616161616161616161616161622222244444444448888888816161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1111111-1-11-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−i111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1111111-1-11-1-1-1-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−i
χ10111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-1-1-1-111-1-11-11111ii−i−iii−i−i-1-1-1-11111−i−iii111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-1-1-1-111-1-11-11111ii−i−iii−i−i-1-1-1-11111−i−iii
χ11111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-111111-1-111-11-1-1-1-1−i−iiiii−i−i-1-1-1-11111−i−iii111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-111111-1-111-11-1-1-1-1−i−iiiii−i−i-1-1-1-11111−i−iii
χ12111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-111-111111−i−iiiii−i−i1111-1-1-1-1ii−i−i111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-111-111111−i−iiiii−i−i1111-1-1-1-1ii−i−i
χ13111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-111-111111ii−i−i−i−iii1111-1-1-1-1−i−iii111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-111-111111ii−i−i−i−iii1111-1-1-1-1−i−iii
χ14111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111111-1-111-11-1-1-1-1ii−i−i−i−iii-1-1-1-11111ii−i−i111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111111-1-111-11-1-1-1-1ii−i−i−i−iii-1-1-1-11111ii−i−i
χ15111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1-1-1-111-1-11-11111−i−iii−i−iii-1-1-1-11111ii−i−i111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1-1-1-111-1-11-11111−i−iii−i−iii-1-1-1-11111ii−i−i
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1111111-1-11-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−iii111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1111111-1-11-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−iii
χ17111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-11-11-1-1111-1-11-11-1-1-1-1-111-1-111-1-11-11-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-11-11-1-1111-1-11-11-1-1-1-1-111-1-111-1-11-11-1
χ18111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-11-1-11-1-1111-11-1-1-1-1-1-1-111-1-111-11-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-11-1-11-1-1111-11-1-1-1-1-1-1-111-1-111-11-11
χ19111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-11-111-111-1-1-11-11-1-1-1-1-1-111-1-111-11-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-11-111-111-1-1-11-11-1-1-1-1-1-111-1-111-11-11
χ20111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-11-111-1-1-111-11-11-1-1-1-111-1-111-1-11-11-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-11-111-1-1-111-11-11-1-1-1-111-1-111-1-11-11-1
χ21111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-111-1-1-1111-11-1111111-1-111-1-1-11-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-111-1-1-1111-11-1111111-1-111-1-1-11-11
χ22111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11-111-111-1-11-11-11111-1-111-1-1111-11-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11-111-111-1-11-11-11111-1-111-1-1111-11-1
χ23111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1111-11-1-11-1-111-11-111111-1-111-1-1111-11-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1111-11-1-11-1-111-11-111111-1-111-1-1111-11-1
χ24111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-11-11-1-1111-1-1-11-11111111-1-111-1-1-11-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-11-11-1-1111-1-1-11-11111111-1-111-1-1-11-11
χ25111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-11-1-11-1-1-1-111i−i−ii−i−iii11-1-1-1-111i−i−ii111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-11-1-11-1-1-1-111i−i−ii−i−iii11-1-1-1-111i−i−ii
χ26111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1111-1-11-1-111-1-1i−i−ii−i−iii-1-11111-1-1−iii−i111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1111-1-11-1-111-1-1i−i−ii−i−iii-1-11111-1-1−iii−i
χ27111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-111-111-1-111−iii−i−i−iii-1-11111-1-1−iii−i111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-111-111-1-111−iii−i−i−iii-1-11111-1-1−iii−i
χ28111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-111-11111-1-1−iii−i−i−iii11-1-1-1-111i−i−ii111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-111-11111-1-1−iii−i−i−iii11-1-1-1-111i−i−ii
χ29111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-111-11111-1-1i−i−iiii−i−i11-1-1-1-111−iii−i111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-111-11111-1-1i−i−iiii−i−i11-1-1-1-111−iii−i
χ30111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-111-111-1-111i−i−iiii−i−i-1-11111-1-1i−i−ii111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-111-111-1-111i−i−iiii−i−i-1-11111-1-1i−i−ii
χ31111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1111-1-11-1-111-1-1−iii−iii−i−i-1-11111-1-1i−i−ii111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1111-1-11-1-111-1-1−iii−iii−i−i-1-11111-1-1i−i−ii
χ32111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-11-1-11-1-1-1-111−iii−iii−i−i11-1-1-1-111−iii−i111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-11-1-11-1-1-1-111−iii−iii−i−i11-1-1-1-111−iii−i
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χ126111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111111-1-111-11-1-1-1-1ii−i−i−i−iii-1-1-1-11111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1-1-1-111-1-11-11111−i−iiiii−i−i1111-1-1-1-1−i−iii
χ127111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-1-1-1-111-1-11-11111−i−iii−i−iii-1-1-1-11111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111111-1-111-11-1-1-1-1ii−i−iii−i−i1111-1-1-1-1−i−iii
χ128111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1111111-1-11-1-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-111-111111ii−i−iii−i−i-1-1-1-11111ii−i−i
χ129111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-11-11-1-1111-1-11-11-1-1-1-1-111-1-111-1-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-11-111-1-1-111-11-111111-1-111-1-111-11-11
χ130111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-11-1-11-1-1111-11-1-1-1-1-1-1-111-1-111-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-11-111-111-1-1-11-11111111-1-111-1-11-11-1
χ131111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-11-111-111-1-1-11-11-1-1-1-1-1-111-1-111-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-11-1-11-1-1111-11-1111111-1-111-1-11-11-1
χ132111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-11-111-1-1-111-11-11-1-1-1-111-1-111-1-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-11-11-1-1111-1-11-11-11111-1-111-1-111-11-11
χ133111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-111-1-1-1111-11-1111111-1-111-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-11-11-1-1111-1-1-11-11-1-1-1-1-1-111-1-1111-11-1
χ134111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11-111-111-1-11-11-11111-1-111-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1111-11-1-11-1-111-11-11-1-1-1-111-1-111-1-1-11-11
χ135111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1111-11-1-11-1-111-11-111111-1-111-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11-111-111-1-11-11-1-1-1-1-111-1-111-1-1-11-11
χ136111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-11-11-1-1111-1-1-11-11111111-1-111-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-111-1-1-1111-11-1-1-1-1-1-1-111-1-1111-11-1
χ137111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-11-1-11-1-1-1-111i−i−ii−i−iii11-1-1-1-111i−i−ii-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-111-11111-1-1−iii−iii−i−i-1-11111-1-1−iii−i
χ138111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1111-1-11-1-111-1-1i−i−ii−i−iii-1-11111-1-1−iii−i-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-111-111-1-111−iii−iii−i−i11-1-1-1-111i−i−ii
χ139111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-111-111-1-111−iii−i−i−iii-1-11111-1-1−iii−i-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1111-1-11-1-111-1-1i−i−iiii−i−i11-1-1-1-111i−i−ii
χ140111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-111-11111-1-1−iii−i−i−iii11-1-1-1-111i−i−ii-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-11-1-11-1-1-1-111i−i−iiii−i−i-1-11111-1-1−iii−i
χ141111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-111-11111-1-1i−i−iiii−i−i11-1-1-1-111−iii−i-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-11-1-11-1-1-1-111−iii−i−i−iii-1-11111-1-1i−i−ii
χ142111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-111-111-1-111i−i−iiii−i−i-1-11111-1-1i−i−ii-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111iiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1111-1-11-1-111-1-1−iii−i−i−iii11-1-1-1-111−iii−i
χ143111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1111-1-11-1-111-1-1−iii−iii−i−i-1-11111-1-1i−i−ii-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111iiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-111-111-1-111i−i−ii−i−iii11-1-1-1-111−iii−i
χ144111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-11-1-11-1-1-1-111−iii−iii−i−i11-1-1-1-111−iii−i-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-111-11111-1-1i−i−ii−i−iii-1-11111-1-1i−i−ii
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χ1462222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000022220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222222222000000002222222200000000000000000000000000000000-2-2-2-20000000000000000
χ147222222222222-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000−2i−2i2i2i0000000000000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2222200000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000002i2i−2i−2i0000000000000000
χ148222222222222-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000002i2i−2i−2i0000000000000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-22222000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000−2i−2i2i2i0000000000000000
χ1492222222222-2-222-2-222-2-2-2-20000-2-2-2-222000000000000000000002i−2i2i−2i2i−2i2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002−22−22−22−20000-2-2-2-2-2-2-2-2-2-222-2-222-2-2222200002222-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−22−22−22−220000
χ1502222222222-2-222-2-222-2-2-2-20000-2-2-2-222000000000000000000002i−2i2i−2i2i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−22−22−22−220000-2-2-2-2-2-2-2-2-2-222-2-222-2-2222200002222-2-200000000000000000000−2i2i−2i2i−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002−22−22−22−20000
χ1512222222222-2-222-2-222-2-2-2-20000-2-2-2-22200000000000000000000−2i2i−2i2i−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−22−22−22−220000-2-2-2-2-2-2-2-2-2-222-2-222-2-2222200002222-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002−22−22−22−20000
χ1522222222222-2-222-2-222-2-2-2-20000-2-2-2-22200000000000000000000−2i2i−2i2i−2i2i−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002−22−22−22−20000-2-2-2-2-2-2-2-2-2-222-2-222-2-2222200002222-2-2000000000000000000002i−2i2i−2i2i−2i2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−22−22−22−220000
χ1532222222222-2-2-2-2-2-2-2-222220000-2-222-2-2000000000000000000002-22-2-22-2222−2−222−2−2−2−222−2−2220000000000000000000000002−22−2−22−220000-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000022-2-22200000000000000000000-22-222-22-2−2−222−2−22222−2−222−2−2000000000000000000000000−22−222−22−20000
χ1542222222222-2-2-2-2-2-2-2-222220000-2-222-2-2000000000000000000002-22-2-22-22−2−222−2−22222−2−222−2−2000000000000000000000000−22−222−22−20000-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000022-2-22200000000000000000000-22-222-22-222−2−222−2−2−2−222−2−2220000000000000000000000002−22−2−22−220000
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χ1562222222222-2-2-2-2-2-2-2-222220000-2-222-2-200000000000000000000-22-222-22-2−2−222−2−22222−2−222−2−20000000000000000000000002−22−2−22−220000-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000022-2-222000000000000000000002-22-2-22-2222−2−222−2−2−2−222−2−222000000000000000000000000−22−222−22−20000
χ157222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2220000000022-2-222-2-200000000000000000000000000000000-22-220000000000000000-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-222-2-200000000-2-222-2-222000000000000000000000000000000002-22-20000000000000000
χ158222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000-2-222-2-222000000000000000000000000000000002-22-20000000000000000-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-222-2-20000000022-2-222-2-200000000000000000000000000000000-22-220000000000000000
χ159222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-22222-2-222-2-2-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000−2i2i2i−2i0000000000000000-2-2-2-2-2-22222-2-222-2-2222222-2-2-2-222-2-2-2-222-2-2222222-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002i−2i−2i2i0000000000000000
χ160222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-22222-2-222-2-2-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002i−2i−2i2i0000000000000000-2-2-2-2-2-22222-2-222-2-2222222-2-2-2-222-2-2-2-222-2-2222222-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000−2i2i2i−2i0000000000000000
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χ20944-4-44-40000-44−4i4i-44−4i4i4i−4i4i−4i0000000000000000000000000000000000000000002+2i−2−2i−2−2i2+2i00002−2i−2+2i−2+2i2−2i000000000000000000000000000000000000-4-444-4400004-44i−4i4-44i−4i−4i4i−4i4i000000000000000000000000000000000000000000−2−2i2+2i2+2i−2−2i0000−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000
χ21044-4-44-40000-44−4i4i-44−4i4i4i−4i4i−4i000000000000000000000000000000000000000000−2−2i2+2i2+2i−2−2i0000−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000-4-444-4400004-44i−4i4-44i−4i−4i4i−4i4i0000000000000000000000000000000000000000002+2i−2−2i−2−2i2+2i00002−2i−2+2i−2+2i2−2i000000000000000000000000000000000000
χ21144-4-4-4400004-44i−4i-44−4i4i−4i4i4i−4i000000000000000000000000000000000000002+2i−2−2i−2−2i2+2i00002−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000-4-4444-40000-44−4i4i4-44i−4i4i−4i−4i4i00000000000000000000000000000000000000−2−2i2+2i2+2i−2−2i0000−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000
χ21244-4-4-4400004-44i−4i-44−4i4i−4i4i4i−4i00000000000000000000000000000000000000−2−2i2+2i2+2i−2−2i0000−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000-4-4444-40000-44−4i4i4-44i−4i4i−4i−4i4i000000000000000000000000000000000000002+2i−2−2i−2−2i2+2i00002−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000
χ21344-4-4-4400004-4−4i4i-444i−4i4i−4i−4i4i000000000000000000000000000000000000002−2i−2+2i−2+2i2−2i00002+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000-4-4444-40000-444i−4i4-4−4i4i−4i4i4i−4i00000000000000000000000000000000000000−2+2i2−2i2−2i−2+2i0000−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000
χ21444-4-4-4400004-4−4i4i-444i−4i4i−4i−4i4i00000000000000000000000000000000000000−2+2i2−2i2−2i−2+2i0000−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000-4-4444-40000-444i−4i4-4−4i4i−4i4i4i−4i000000000000000000000000000000000000002−2i−2+2i−2+2i2−2i00002+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000
χ21544-4-4-440000-444i−4i4-4−4i4i4i−4i−4i4i4i4i−4i−4i000000-44−4i4i00004-40000000000000000000000000000000000000000000000000000000000000000000000-4-4444-400004-4−4i4i-444i−4i−4i4i4i−4i−4i−4i4i4i0000004-44i−4i0000-440000000000000000000000000000000000000000000000000000000000000000000000
χ21644-4-4-440000-44−4i4i4-44i−4i−4i4i4i−4i−4i−4i4i4i000000-444i−4i00004-40000000000000000000000000000000000000000000000000000000000000000000000-4-4444-400004-44i−4i-44−4i4i4i−4i−4i4i4i4i−4i−4i0000004-4−4i4i0000-440000000000000000000000000000000000000000000000000000000000000000000000
χ2178-88-800008-80000000000004i2−4i24i2−4i20000000000004i2−4i2000000000000000000000000000000000000000000000000000000000000000000000000-88-880000-88000000000000−4i24i2−4i24i2000000000000−4i24i2000000000000000000000000000000000000000000000000000000000000000000000000
χ2188-88-800008-8000000000000−4i24i2−4i24i2000000000000−4i24i2000000000000000000000000000000000000000000000000000000000000000000000000-88-880000-880000000000004i2−4i24i2−4i20000000000004i2−4i2000000000000000000000000000000000000000000000000000000000000000000000000
χ2198-88-80000-880000000000004i2−4i24i2−4i2000000000000−4i24i2000000000000000000000000000000000000000000000000000000000000000000000000-88-8800008-8000000000000−4i24i2−4i24i20000000000004i2−4i2000000000000000000000000000000000000000000000000000000000000000000000000
χ2208-88-80000-88000000000000−4i24i2−4i24i20000000000004i2−4i2000000000000000000000000000000000000000000000000000000000000000000000000-88-8800008-80000000000004i2−4i24i2−4i2000000000000−4i24i2000000000000000000000000000000000000000000000000000000000000000000000000
χ2218-8-88008-80000000000000042−42−4242000000000042−4200000000000000000000000000000000000000000000000000000000000000000000000000-888-800-8800000000000000−424242−420000000000−424200000000000000000000000000000000000000000000000000000000000000000000000000
χ2228-8-88008-800000000000000−424242−420000000000−424200000000000000000000000000000000000000000000000000000000000000000000000000-888-800-880000000000000042−42−4242000000000042−4200000000000000000000000000000000000000000000000000000000000000000000000000
χ2238-8-8800-880000000000000042−42−42420000000000−424200000000000000000000000000000000000000000000000000000000000000000000000000-888-8008-800000000000000−424242−42000000000042−4200000000000000000000000000000000000000000000000000000000000000000000000000
χ2248-8-8800-8800000000000000−424242−42000000000042−4200000000000000000000000000000000000000000000000000000000000000000000000000-888-8008-80000000000000042−42−42420000000000−424200000000000000000000000000000000000000000000000000000000000000000000000000

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