Finite Group Databasebeta

← Group #12963616

Character table — Group #12963616

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111122222222222222222222222222444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020111122222222222222222222222222444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020
order1244245588888888101020202020404040404040404022444488881010202020202020202020204040404040404040404040401010101020202020404040404040404022448888224444888888224424101088888888101020202020404040404040404022444488881010202020202020202020204040404040404040404040401010101020202020404040404040404022448888224444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ5111111111111-1-1-1-1111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111111-11-1-1-111-1-1-1-1111111111111-1-1-1-1111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111111-11-1-1-111-1-1-1-1
χ6111111111111-1-1-1-1111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111111111111111-1-1-1-1111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111
χ7111111111111-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-11-11-1-1-1-111-1-1111111111111-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-11-11-1-1-1-111-1-1
χ8111111111111-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-111111111111111-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-111
χ911111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1011111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-11111
χ1711-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−ii−i-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-11-1ii−i−i11-1-1i−ii−ii−i1-111-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−ii−i-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-11-1ii−i−i11-1-1i−ii−ii−i1-1
χ1811-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−ii−i-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11−i−iii-1-111−ii−ii−ii-1111-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i11-1-1i−ii−ii−i-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11−i−iii-1-111−ii−ii−ii-11
χ1911-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i-1-111i−i−ii−ii-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iii1-11-1ii−i−i-1-111i−i−ii−ii1-111-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i-1-111i−i−ii−ii-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iii1-11-1ii−i−i-1-111i−i−ii−ii1-1
χ2011-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i-1-111i−i−ii−ii-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iii-11-11−i−iii11-1-1−iii−ii−i-1111-1-1-1111ii−i−i11-1-111-1-1-1-1iiii−i−i−i−i-1-111i−i−ii−ii-1-1iiii−i−i−i−i11ii−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iii-11-11−i−iii11-1-1−iii−ii−i-11
χ2111-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i1-1-11−iii−i−ii-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1111111-1-1-1-111ii−i−i−i−iii1-11-1ii−i−i1-1-11−iii−i−ii-1111-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i1-1-11−iii−i−ii-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1111111-1-1-1-111ii−i−i−i−iii1-11-1ii−i−i1-1-11−iii−i−ii-11
χ2211-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i1-1-11−iii−i−ii-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1111111-1-1-1-111ii−i−i−i−iii-11-11−i−iii-111-1i−i−iii−i1-111-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i1-1-11−iii−i−ii-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1111111-1-1-1-111ii−i−i−i−iii-11-11−i−iii-111-1i−i−iii−i1-1
χ2311-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i-111-1−ii−iii−i-1-1−i−i−i−iiiii11ii−i−i-1-1-1-11111-1-11111-1-1−i−iiiii−i−i1-11-1ii−i−i-111-1−ii−iii−i-1111-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i-111-1−ii−iii−i-1-1−i−i−i−iiiii11ii−i−i-1-1-1-11111-1-11111-1-1−i−iiiii−i−i1-11-1ii−i−i-111-1−ii−iii−i-11
χ2411-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i-111-1−ii−iii−i-1-1−i−i−i−iiiii11ii−i−i-1-1-1-11111-1-11111-1-1−i−iiiii−i−i-11-11−i−iii1-1-11i−ii−i−ii1-111-1-1-1111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−i-111-1−ii−iii−i-1-1−i−i−i−iiiii11ii−i−i-1-1-1-11111-1-11111-1-1−i−iiiii−i−i-11-11−i−iii1-1-11i−ii−i−ii1-1
χ2511-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii−ii-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-1−i−iii11-1-1−ii−ii−ii1-111-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii−ii-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-1−i−iii11-1-1−ii−ii−ii1-1
χ2611-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii−ii-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11ii−i−i-1-111i−ii−ii−i-1111-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii11-1-1−ii−ii−ii-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11ii−i−i-1-111i−ii−ii−i-11
χ2711-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii-1-111−iii−ii−i-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i1-11-1−i−iii-1-111−iii−ii−i1-111-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii-1-111−iii−ii−i-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i1-11-1−i−iii-1-111−iii−ii−i1-1
χ2811-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii-1-111−iii−ii−i-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i-11-11ii−i−i11-1-1i−i−ii−ii-1111-1-1-1111−i−iii11-1-111-1-1-1-1−i−i−i−iiiii-1-111−iii−ii−i-1-1−i−i−i−iiiii11−i−iii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i-11-11ii−i−i11-1-1i−i−ii−ii-11
χ2911-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii1-1-11i−i−iii−i-1-1iiii−i−i−i−i11−i−iii-1-1-1-1111111-1-1-1-111−i−iiiii−i−i1-11-1−i−iii1-1-11i−i−iii−i-1111-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii1-1-11i−i−iii−i-1-1iiii−i−i−i−i11−i−iii-1-1-1-1111111-1-1-1-111−i−iiiii−i−i1-11-1−i−iii1-1-11i−i−iii−i-11
χ3011-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii1-1-11i−i−iii−i-1-1iiii−i−i−i−i11−i−iii-1-1-1-1111111-1-1-1-111−i−iiiii−i−i-11-11ii−i−i-111-1−iii−i−ii1-111-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii1-1-11i−i−iii−i-1-1iiii−i−i−i−i11−i−iii-1-1-1-1111111-1-1-1-111−i−iiiii−i−i-11-11ii−i−i-111-1−iii−i−ii1-1
χ3111-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii-111-1i−ii−i−ii-1-1iiii−i−i−i−i11−i−iii-1-1-1-11111-1-11111-1-1ii−i−i−i−iii1-11-1−i−iii-111-1i−ii−i−ii-1111-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii-111-1i−ii−i−ii-1-1iiii−i−i−i−i11−i−iii-1-1-1-11111-1-11111-1-1ii−i−i−i−iii1-11-1−i−iii-111-1i−ii−i−ii-11
χ3211-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii-111-1i−ii−i−ii-1-1iiii−i−i−i−i11−i−iii-1-1-1-11111-1-11111-1-1ii−i−i−i−iii-11-11ii−i−i1-1-11−ii−iii−i1-111-1-1-1111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii-111-1i−ii−i−ii-1-1iiii−i−i−i−i11−i−iii-1-1-1-11111-1-11111-1-1ii−i−i−i−iii-11-11ii−i−i1-1-11−ii−iii−i1-1
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χ1884-44i−4i00−1−5−1+5000022−222i2−2i21+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ372ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ23000000000000ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000-44−4i4i001+51−50000−2222−2i22i2−1−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23000000000000−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000
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χ1904-44i−4i00−1−5−1+50000−2222−2i22i21+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ372ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ23000000000000−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000-44−4i4i001+51−5000022−222i2−2i2−1−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23000000000000ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000
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χ1924-4−4i4i00440000−22222i2−2i2-4-4−4i4i−4i4i0000000000000000000000000000000000−2222−22222i2−2i22i2−2i2000000000000000000000000000000000000-444i−4i00-4-4000022−22−2i22i2444i−4i4i−4i000000000000000000000000000000000022−2222−22−2i22i2−2i22i2000000000000000000000000000000000000
χ1934-4−4i4i00−1+5−1−5000022−22−2i22i21−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ39−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ29000000000000ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000000000-444i−4i001−51+50000−22222i2−2i2−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ392ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ29000000000000−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000000000
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χ1954-4−4i4i00−1+5−1−50000−22222i2−2i21−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ39−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ29000000000000−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000000000-444i−4i001−51+5000022−22−2i22i2−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ392ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ29000000000000ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000000000
χ1964-4−4i4i00−1+5−1−50000−22222i2−2i21−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ392ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ29000000000000ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000000000-444i−4i001−51+5000022−22−2i22i2−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ39−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ29000000000000−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000000000
χ1974-4−4i4i00−1−5−1+5000022−22−2i22i21+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37000000000000ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000-444i−4i001+51−50000−22222i2−2i2−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ37000000000000−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000
χ1984-4−4i4i00−1−5−1+5000022−22−2i22i21+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ37000000000000−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000-444i−4i001+51−50000−22222i2−2i2−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37000000000000ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000
χ1994-4−4i4i00−1−5−1+50000−22222i2−2i21+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37000000000000−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000-444i−4i001+51−5000022−22−2i22i2−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ37000000000000ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000
χ2004-4−4i4i00−1−5−1+50000−22222i2−2i21+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ37000000000000ζ4+ζ6−ζ14−ζ36−ζ4−ζ6+ζ14+ζ36−ζ12+ζ22+ζ28−ζ38ζ12−ζ22−ζ28+ζ38−ζ4+ζ6−ζ14+ζ36ζ4−ζ6+ζ14−ζ36−ζ12−ζ22+ζ28+ζ38ζ12+ζ22−ζ28−ζ38000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000-444i−4i001+51−5000022−22−2i22i2−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ37000000000000−ζ4−ζ6+ζ14+ζ36ζ4+ζ6−ζ14−ζ36ζ12−ζ22−ζ28+ζ38−ζ12+ζ22+ζ28−ζ38ζ4−ζ6+ζ14−ζ36−ζ4+ζ6−ζ14+ζ36ζ12+ζ22−ζ28−ζ38−ζ12−ζ22+ζ28+ζ38000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.