Finite Group Databasebeta

← Group #13085850

Character table — Group #13085850

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11222255112222552244441010224444101033666615153366661515224444101022444410104488882020448888202066121212123030661212121230303366661515336666151566121212123030661212121230309918181818454599181818184545
order1255101044221010101044361515303012126630303030121244202020204444202020204436151530301212663030303012123615153030121266303030301212121260606060121212126060606012122210101010442210101010446630303030121266303030301212442020202044442020202044
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1
χ31-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i
χ41-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii
χ522−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200
χ622−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200
χ72-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200
χ82-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200
χ911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ111-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii
χ121-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i
χ1322−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+5200
χ1422−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−5200
χ152-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200
χ162-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ18111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111iiiiii−i−i−i−i−i−i−i−iii111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111iiiiii−i−i−i−i−i−i−i−iii111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111iiiiii−i−i−i−i−i−i−i−iii
χ191-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−iii−iii−i−i-11−ii−i−iii1-11-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−iii−iii−i−i-11−ii−i−iii1-11-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−iii−iii−i−i-11−ii−i−iii1-1
χ201-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−ii−iii−i−i1-1−ii−i−iii-111-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−ii−iii−i−i1-1−ii−i−iii-111-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−ii−iii−i−i1-1−ii−i−iii-11
χ2122−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+52002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+52002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+52002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ700
χ2222−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−52002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ1900−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−52002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ1900−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−52002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ1900−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ1900
χ232-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700
χ242-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900
χ2511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ26111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111−i−i−i−i−i−iiiiiiiii−i−i111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111−i−i−i−i−i−iiiiiiiii−i−i111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111−i−i−i−i−i−iiiiiiiii−i−i
χ271-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−ii−ii−i−iii1-1i−iii−i−i-111-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−ii−ii−i−iii1-1i−iii−i−i-111-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−ii−ii−i−iii1-1i−iii−i−i-11
χ281-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−i−ii−i−iii-11i−iii−i−i1-11-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−i−ii−i−iii-11i−iii−i−i1-11-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−i−ii−i−iii-11i−iii−i−i1-1
χ2922−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700
χ3022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ1900
χ312-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700
χ322-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
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χ58111111-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1
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χ1124-4−1−5−1+51+51−5004-4−1−5−1+51+51−5004-4−1−5−1+51+51−5004-4−1−5−1+51+51−500-441+51−5−1−5−1+500-441+51−5−1−5−1+500-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200000000000000000000000000000000000000000000000000
χ11322222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000000000000000000000000000
χ114222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−iiiiiiiii−i−i000000000000000000000000000000000000000000000000
χ1152-222-2-22i−2i-22-2-222−2i2i2-222-2-22i−2i-22-2-222−2i2i2i−2i2i2i−2i−2i-22−2i2i−2i−2i2i2i2-2-11-1-111−ii1-111-1-1i−i-11-1-111−ii1-111-1-1i−i−ii−i−iii1-1i−iii−i−i-11000000000000000000000000000000000000000000000000
χ1162-222-2-2−2i2i-22-2-2222i−2i2-222-2-2−2i2i-22-2-2222i−2i2i−2i2i2i−2i−2i2-2−2i2i−2i−2i2i2i-22-11-1-111i−i1-111-1-1−ii-11-1-111i−i1-111-1-1−ii−ii−i−iii-11i−iii−i−i1-1000000000000000000000000000000000000000000000000
χ11744−1+5−1−5−1+5−1−500-4-41−51+51−51+50044−1+5−1−5−1+5−1−500-4-41−51+51−51+5004i4i−2ζ11−2ζ19−2ζ3−2ζ7−2ζ11−2ζ19−2ζ3−2ζ700−4i−4i2ζ11+2ζ192ζ3+2ζ72ζ11+2ζ192ζ3+2ζ700-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000000000000000000000000000000000
χ11844−1−5−1+5−1−5−1+500-4-41+51−51+51−50044−1−5−1+5−1−5−1+500-4-41+51−51+51−5004i4i−2ζ3−2ζ7−2ζ11−2ζ19−2ζ3−2ζ7−2ζ11−2ζ1900−4i−4i2ζ3+2ζ72ζ11+2ζ192ζ3+2ζ72ζ11+2ζ1900-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ1900000000000000000000000000000000000000000000000000
χ1194-4−1+5−1−51−51+500-441−51+5−1+5−1−5004-4−1+5−1−51−51+500-441−51+5−1+5−1−5004i−4i−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ700−4i4i2ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ700-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700000000000000000000000000000000000000000000000000
χ1204-4−1−5−1+51+51−500-441+51−5−1−5−1+5004-4−1−5−1+51+51−500-441+51−5−1−5−1+5004i−4i−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ1900−4i4i2ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ1900-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900000000000000000000000000000000000000000000000000
χ12122222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000000000
χ122222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1iiiiii−i−i−i−i−i−i−i−iii000000000000000000000000000000000000000000000000
χ1232-222-2-22i−2i-22-2-222−2i2i2-222-2-22i−2i-22-2-222−2i2i−2i2i−2i−2i2i2i2-22i−2i2i2i−2i−2i-22-11-1-111−ii1-111-1-1i−i-11-1-111−ii1-111-1-1i−ii−iii−i−i-11−ii−i−iii1-1000000000000000000000000000000000000000000000000
χ1242-222-2-2−2i2i-22-2-2222i−2i2-222-2-2−2i2i-22-2-2222i−2i−2i2i−2i−2i2i2i-222i−2i2i2i−2i−2i2-2-11-1-111i−i1-111-1-1−ii-11-1-111i−i1-111-1-1−iii−iii−i−i1-1−ii−i−iii-11000000000000000000000000000000000000000000000000
χ12544−1+5−1−5−1+5−1−500-4-41−51+51−51+50044−1+5−1−5−1+5−1−500-4-41−51+51−51+500−4i−4i2ζ11+2ζ192ζ3+2ζ72ζ11+2ζ192ζ3+2ζ7004i4i−2ζ11−2ζ19−2ζ3−2ζ7−2ζ11−2ζ19−2ζ3−2ζ700-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−52002i2i−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ700−2i−2iζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ700000000000000000000000000000000000000000000000000
χ12644−1−5−1+5−1−5−1+500-4-41+51−51+51−50044−1−5−1+5−1−5−1+500-4-41+51−51+51−500−4i−4i2ζ3+2ζ72ζ11+2ζ192ζ3+2ζ72ζ11+2ζ19004i4i−2ζ3−2ζ7−2ζ11−2ζ19−2ζ3−2ζ7−2ζ11−2ζ1900-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+52002i2i−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ1900−2i−2iζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ1900000000000000000000000000000000000000000000000000
χ1274-4−1+5−1−51−51+500-441−51+5−1+5−1−5004-4−1+5−1−51−51+500-441−51+5−1+5−1−500−4i4i2ζ11+2ζ192ζ3+2ζ7−2ζ11−2ζ19−2ζ3−2ζ7004i−4i−2ζ11−2ζ19−2ζ3−2ζ72ζ11+2ζ192ζ3+2ζ700-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002i−2i−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ700−2i2iζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ700000000000000000000000000000000000000000000000000
χ1284-4−1−5−1+51+51−500-441+51−5−1−5−1+5004-4−1−5−1+51+51−500-441+51−5−1−5−1+500−4i4i2ζ3+2ζ72ζ11+2ζ19−2ζ3−2ζ7−2ζ11−2ζ19004i−4i−2ζ3−2ζ7−2ζ11−2ζ192ζ3+2ζ72ζ11+2ζ1900-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002i−2i−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ1900−2i2iζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ1900000000000000000000000000000000000000000000000000
χ1294444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000000000000000000000000000000000000000
χ130444444-4-4444444-4-4-2-2-2-2-2-222-2-2-2-2-2-2220000000000000000-2-2-2-2-2-222-2-2-2-2-2-222111111-1-1111111-1-10000000000000000000000000000000000000000000000000000000000000000
χ1314-444-4-44i−4i4-444-4-44i−4i-22-2-222−2i2i-22-2-222−2i2i0000000000000000-22-2-222−2i2i-22-2-222−2i2i1-111-1-1i−i1-111-1-1i−i0000000000000000000000000000000000000000000000000000000000000000
χ1324-444-4-4−4i4i4-444-4-4−4i4i-22-2-2222i−2i-22-2-2222i−2i0000000000000000-22-2-2222i−2i-22-2-2222i−2i1-111-1-1−ii1-111-1-1−ii0000000000000000000000000000000000000000000000000000000000000000
χ13388−2+25−2−25−2+25−2−250088−2+25−2−25−2+25−2−2500-4-41−51+51−51+500-4-41−51+51−51+5000000000000000000-4-41−51+51−51+500-4-41−51+51−51+50022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−52000000000000000000000000000000000000000000000000000000000000000000
χ13488−2−25−2+25−2−25−2+250088−2−25−2+25−2−25−2+2500-4-41+51−51+51−500-4-41+51−51+51−5000000000000000000-4-41+51−51+51−500-4-41+51−51+51−50022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+52000000000000000000000000000000000000000000000000000000000000000000
χ1358-8−2+25−2−252−252+25008-8−2+25−2−252−252+2500-441−51+5−1+5−1−500-441−51+5−1+5−1−5000000000000000000-441−51+5−1+5−1−500-441−51+5−1+5−1−5002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52000000000000000000000000000000000000000000000000000000000000000000
χ1368-8−2−25−2+252+252−25008-8−2−25−2+252+252−2500-441+51−5−1−5−1+500-441+51−5−1−5−1+5000000000000000000-441+51−5−1−5−1+500-441+51−5−1−5−1+5002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52000000000000000000000000000000000000000000000000000000000000000000
χ13744444444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-2-2-2-2-22222222211111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ138444444-4-4-4-4-4-4-4-444-2-2-2-2-2-222222222-2-20000000000000000-2-2-2-2-2-222222222-2-2111111-1-1-1-1-1-1-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1394-444-4-44i−4i-44-4-444−4i4i-22-2-222−2i2i2-222-2-22i−2i0000000000000000-22-2-222−2i2i2-222-2-22i−2i1-111-1-1i−i-11-1-111−ii0000000000000000000000000000000000000000000000000000000000000000
χ1404-444-4-4−4i4i-44-4-4444i−4i-22-2-2222i−2i2-222-2-2−2i2i0000000000000000-22-2-2222i−2i2-222-2-2−2i2i1-111-1-1−ii-11-1-111i−i0000000000000000000000000000000000000000000000000000000000000000
χ14188−2+25−2−25−2+25−2−2500-8-82−252+252−252+2500-4-41−51+51−51+50044−1+5−1−5−1+5−1−5000000000000000000-4-41−51+51−51+50044−1+5−1−5−1+5−1−50022−1+52−1−52−1+52−1−5200-2-21−521+521−521+52000000000000000000000000000000000000000000000000000000000000000000
χ14288−2−25−2+25−2−25−2+2500-8-82+252−252+252−2500-4-41+51−51+51−50044−1−5−1+5−1−5−1+5000000000000000000-4-41+51−51+51−50044−1−5−1+5−1−5−1+50022−1−52−1+52−1−52−1+5200-2-21+521−521+521−52000000000000000000000000000000000000000000000000000000000000000000
χ1438-8−2+25−2−252−252+2500-882−252+25−2+25−2−2500-441−51+5−1+5−1−5004-4−1+5−1−51−51+5000000000000000000-441−51+5−1+5−1−5004-4−1+5−1−51−51+5002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52000000000000000000000000000000000000000000000000000000000000000000
χ1448-8−2−25−2+252+252−2500-882+252−25−2−25−2+2500-441+51−5−1−5−1+5004-4−1−5−1+51+51−5000000000000000000-441+51−5−1−5−1+5004-4−1−5−1+51+51−5002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.