Finite Group Databasebeta

← Group #14323347

Character table — Group #14323347

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240
size11111111222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888883030303030303030606060606060606060606060
order1222222234444556666666101010101010101010101010101015151515303030303030303030303030303030303030303030303030303030302244444444441212121212121212121212122020202020202020202020202020202020202020202020206060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606610101010121212121212202020202020202020202020303030303030303060606060606060606060606060606060606060606060606022224444222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ9111111111-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ10111111111-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ11111111111-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-11111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111
χ14111111111-1-1-1-11111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1
χ15111111111-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ17111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−i1-1i−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1i−i1-1i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1-11-11-1i−ii−ii−i
χ18111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−i1-1i−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1i−i1-1i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-11-11-11−ii−ii−ii
χ19111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11−ii-11−iii−i-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1i−i-11−iiii−i−i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i1-1-11-11−iii−i−ii
χ20111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11−ii-11−iii−i-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1i−i-11−iiii−i−i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii-111-11-1i−i−iii−i
χ21111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1i−i-11−ii−ii11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−ii-11−ii−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-11-111-1i−i−ii−ii
χ22111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1i−i-11−ii−ii11-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−ii-11−ii−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-111−i−iii1-11-1-11−iii−ii−i
χ23111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−ii1-1i−i−ii-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−ii1-1i−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-111-1-11−ii−iii−i
χ24111-11-1-1-11ii−i−i111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−ii1-1i−i−ii-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−ii1-1i−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii1-1-111-1i−ii−i−ii
χ25111-11-1-1-11−i−iii111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii1-1−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−ii1-1−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1-11-11-1−ii−ii−ii
χ26111-11-1-1-11−i−iii111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii1-1−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−ii1-1−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-11-11-11i−ii−ii−i
χ27111-11-1-1-11−i−iii111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11i−i-11i−i−ii-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−ii-11i−i−i−iii-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii1-1-11-11i−i−iii−i
χ28111-11-1-1-11−i−iii111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11i−i-11i−i−ii-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−ii-11i−i−i−iii-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i-111-11-1−iii−i−ii
χ29111-11-1-1-11−i−iii111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1−ii-11i−ii−i11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-111i−i-11i−iii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-11-111-1−iii−ii−i
χ30111-11-1-1-11−i−iii111-111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1−ii-11i−ii−i11-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-111i−i-11i−iii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i1-11-1-11i−i−ii−ii
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χ127222-22-2-2-2-1−2i−2i2i2i22-11-1-111122-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-222-2−2i2i-222i−2i2i−2i-1-111ii−i−iii−i−i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-2-222−ii1-1−ii2i2i−2i−2i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii00000000000000000000
χ128222-22-2-2-2-1−2i−2i2i2i22-11-1-111122-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-22-222i−2i2-2−2i2i2i−2i11-1-1−i−iiiii−i−i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-2-222−ii-11i−i2i2i−2i−2i22-2-2−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i00000000000000000000
χ129222-22-2-2-2-1−2i−2i2i2i−1−52−1+52-11-1-1111−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ582-22-2−2i2i2-2−2i2i−2i2i-1-111ii−i−iii−i−i−1−52−1−52−1+52−1+521+521+521−521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58−ζ11−ζ19−ζ11−ζ19−ζ31−ζ59−ζ31−ζ59−ζ7−ζ23−ζ7−ζ23−ζ43−ζ47−ζ43−ζ47ζ11+ζ19ζ11+ζ19ζ31+ζ59ζ31+ζ59ζ7+ζ23ζ7+ζ23ζ43+ζ47ζ43+ζ47−ζ11−ζ19−ζ11−ζ19−ζ31−ζ59−ζ31−ζ59−ζ7−ζ23−ζ7−ζ23−ζ43−ζ47−ζ43−ζ47ζ11+ζ19ζ11+ζ19ζ31+ζ59ζ31+ζ59ζ7+ζ23ζ7+ζ23ζ43+ζ47ζ43+ζ47-11−1−52−1+521+521−52i−i-11i−iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19ζ31+ζ59ζ7+ζ23ζ43+ζ47−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19ζ31+ζ59ζ7+ζ23ζ43+ζ4700000000000000000000
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χ2334-4-4-4444-4-20000−1−5−1+5-2-22222-2−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ5800000000000023−23−2323000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ592ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ472ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ59−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2344-4-4-4444-4-20000−1−5−1+5-2-22222-2−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58000000000000−232323−2300000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000002ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ59−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ47−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ592ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2354-4-4-4444-4-20000−1−5−1+5-2-22222-2−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ3800000000000023−23−232300000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000002ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ192ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ23−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ19−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2364-4-4-4444-4-20000−1−5−1+5-2-22222-2−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38000000000000−232323−23000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ19−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ232ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ192ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2374-4-4-4444-4-20000−1+5−1−5-2-22222-2−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ3400000000000023−23−232300000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ472ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ19−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ47−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2384-4-4-4444-4-20000−1+5−1−5-2-22222-2−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34000000000000−232323−23000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ43−2ζ47−2ζ43+2ζ47−2ζ31+2ζ592ζ31−2ζ59−2ζ11+2ζ192ζ11−2ζ192ζ7−2ζ23−2ζ7+2ζ23−2ζ43+2ζ472ζ43−2ζ472ζ31−2ζ59−2ζ31+2ζ592ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2394-4-4-4444-4-20000−1+5−1−5-2-22222-2−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ4600000000000023−23−2323000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000002ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ23−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ59−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ232ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2404-4-4-4444-4-20000−1+5−1−5-2-22222-2−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46000000000000−232323−2300000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000−2ζ43+2ζ472ζ43−2ζ472ζ7−2ζ23−2ζ7+2ζ232ζ11−2ζ19−2ζ11+2ζ192ζ31−2ζ59−2ζ31+2ζ592ζ43−2ζ47−2ζ43+2ζ47−2ζ7+2ζ232ζ7−2ζ23−2ζ11+2ζ192ζ11−2ζ19−2ζ31+2ζ592ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.