Finite Group Databasebeta

← Group #12131320

Character table — Group #12131320

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881616161616161616161616161616161616162020202020202020202020204040404040408080
order1222222222444455101010101010441010101010101010101010102020202020202020222224441010101010101010101010101010101020202020881010202020202020404040404040404044444444444424444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111-1-11-1-1
χ911111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-11-1-1-111-1
χ1011111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-11
χ1111111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-1-11
χ1211111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11111-1
χ1311111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111-11-1-1-11-11
χ1411111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1111-11-1
χ1511111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-11-1
χ1611111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-11
χ1722222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ1822222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000
χ1922222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ2022222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ2122222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000
χ2322222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ2422222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ252222222222-2-2-2-222222222-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-200000000000000000022-2-2000000000002-2000
χ262222222222-2-2-2-222222222-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2000000000000000000-2-22200000000000-22000
χ2722222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-22-22-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+522-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ2822222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-22-22−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52-221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ2922222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2222-22-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ3022222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-22-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+522-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ3122222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-22-22-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−522-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3222222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-22-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52-221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ3322222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2222-22-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ3422222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-22-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−522-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3522222-2-2-2-22-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222200000000000000000022-2-200000000000-22000
χ3622222-2-2-2-22-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222000000000000000000-2-222000000000002-2000
χ372222-222-2-2-222-2-2222222222-2-2-2-2-222-2-222-2-2-2-2-2-22222000022-2-200000000000000002-22-200222-22-2-2-20000000000000000000000000000
χ382222-222-2-2-222-2-2222222222-2-2-2-2-222-2-222-2-2-2-2-2-222220000-2-22200000000000000002-22-200-2-2-22-22220000000000000000000000000000
χ392222-222-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−1+521−52−1−521+5200−1+52−1−52−1+521−52−1−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ402222-222-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-2−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−1+521−52−1−521+5200−1+52−1−52−1+521−52−1−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ412222-222-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-2-222ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−1+521−52−1−521+52001−521+521−52−1+521+52−1−52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ422222-222-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-2-222−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−1+521−52−1−521+52001−521+521−52−1+521+52−1−52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ432222-222-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−1−521+52−1+521−5200−1−52−1+52−1−521+52−1+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000
χ442222-222-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-2ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−1−521+52−1+521−5200−1−52−1+52−1−521+52−1+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000
χ452222-222-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-2-222−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−1−521+52−1+521−52001+521−521+52−1−521−52−1+52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000
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χ552222-2-2-222-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-2-22−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ141+52−1−521−52−1+5200−1−52−1+521+52−1−521−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000
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χ694444444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+51−51−51+51+50000000000000000000000001−51−51+51+500000000000000000000000000000000000000
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χ7144444-4-4-4-44-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+51−51−51+51+51−51−51+51+5000000000000000000000000−1+5−1+5−1−5−1−500000000000000000000000000000000000000
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χ734444-444-4-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-441−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000001−5−1+51+5−1−500000000000000000000000000000000000000
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χ1108-8-88000-8800000−2−25−2+252+25−2−252−25−2+252+252−25000000002+25−2−25002−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000

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