Finite Group Databasebeta

← Group #14321083

Character table — Group #14321083

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size1111111122222222222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888815151515151515153030303030303030303030306060606060606060
order122222223444444444444556666666101010101010101010101010101015151515303030303030303030303030303030303030303030303030303030304444444412121212121212121212121220202020202020202020202020202020202020202020202060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606012121212121212122020202020202020202020202020202060606060606060606060606060606060606060606060606060606060606060604444444422224444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ10111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ11111111111-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ171-1-111-11-1111-1-1ii−i−iii−i−i111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1i−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−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181-1-111-11-1111-1-1ii−i−iii−i−i111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1i−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−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111−i−iii−i−iii-11-11−ii−ii
χ191-1-111-11-1111-1-1ii−i−iii−i−i111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11−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-11-11−ii−ii-1-111-1-111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201-1-111-11-1111-1-1ii−i−iii−i−i111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11−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-11-11−ii−ii-1-111-1-111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111−i−iii−i−iii1-11-1i−ii−i
χ211-1-111-11-1111-1-1−i−iii−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1−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−iiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ221-1-111-11-1111-1-1−i−iii−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1−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−iiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111ii−i−iii−i−i-11-11i−ii−i
χ231-1-111-11-1111-1-1−i−iii−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11i−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-11-11i−ii−i-1-111-1-111ii−i−iii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ241-1-111-11-1111-1-1−i−iii−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11i−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-11-11i−ii−i-1-111-1-111ii−i−iii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ251-1-111-11-11-1-111ii−i−i−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11i−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−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111−i−iiiii−i−i1-1-11i−i−ii
χ261-1-111-11-11-1-111ii−i−i−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11i−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−i1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i−i−iii-111-1−iii−i
χ271-1-111-11-11-1-111ii−i−i−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1−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−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−i−iiiii−i−i-111-1−iii−i
χ281-1-111-11-11-1-111ii−i−i−i−iii111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1−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−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−iii1-1-11i−i−ii
χ291-1-111-11-11-1-111−i−iiiii−i−i111-1-11-11-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11−iii−i-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−iiiiiiiii1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111ii−i−i−i−iii1-1-11−iii−i
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χ2444-4-4-444-44-24-4-4400000000−1−5−1+5222-2-22-21+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ5800000000-222-200000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ46−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ582ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ462ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2454-4-4-444-44-24-4-4400000000−1−5−1+5222-2-22-21+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ3800000000-222-200000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ34−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ382ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ342ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2464-4-4-444-44-24-4-4400000000−1+5−1−5222-2-22-21−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ3400000000-222-200000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ58−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ342ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ582ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ3400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2474-4-4-444-44-24-4-4400000000−1+5−1−5222-2-22-21−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ4600000000-222-200000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ38−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ462ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ382ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2484-4-4-444-44-2-444-40000000044222-2-22-2-4-4-4-4-4-44444-4-444-2-2-2-2222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002-2-2200000000-44-444-44-400000000000000002-22-22-22-2-22-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2494-4-4-444-44-2-444-400000000−1−5−1+5222-2-22-21+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58000000002-2-22000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000002ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ462ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ58−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ46−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2504-4-4-444-44-2-444-400000000−1−5−1+5222-2-22-21+51−51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38000000002-2-22000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000002ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ342ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ38−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ34−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2514-4-4-444-44-2-444-400000000−1+5−1−5222-2-22-21−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34000000002-2-22000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ2+2ζ58−2ζ2−2ζ582ζ14+2ζ46−2ζ14−2ζ462ζ26+2ζ34−2ζ26−2ζ34−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ58−2ζ14−2ζ462ζ14+2ζ46−2ζ26−2ζ342ζ26+2ζ3400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2524-4-4-444-44-2-444-400000000−1+5−1−5222-2-22-21−51+51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46000000002-2-22000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000002ζ2+2ζ58−2ζ2−2ζ582ζ22+2ζ38−2ζ22−2ζ382ζ26+2ζ34−2ζ26−2ζ342ζ14+2ζ46−2ζ14−2ζ46−2ζ2−2ζ582ζ2+2ζ58−2ζ22−2ζ382ζ22+2ζ38−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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