Finite Group Databasebeta

← Group #13041450

Character table — Group #13041450

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111144444444444444444455555555881010101010101010101010101010101016161616161616161616161616162020202020202020202020202020202020202020202020202020404040404040
order12222222444444444451010101010101044444444248888888888888888101020202020202020202020202022224444448888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1i−ii−i
χ411111111111111111111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−iiiiiii-1-1−ii−ii
χ511111111111111-1-1-1-11111111111111111-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11111
χ711111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii11−ii−ii
χ811111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i11i−ii−i
χ91111111111-1-1-1-111111111111111111111-1-11111111111111111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ101111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i11−ii−ii
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii11i−ii−i
χ131111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1
χ151111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-11111−i−iii−i−i−i−i−i−iiiiiii-1-1i−ii−i
χ161111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-11111ii−i−iiiiiii−i−i−i−i−i−i-1-1−ii−ii
χ1711111111-1-111-1-111-1-111111111111111111-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-11-1-111
χ1811111111-1-111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1111-1-1
χ1911111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-111-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−iii−i−iii1-1−iii−i
χ2011111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-111-1-1-1-1-1-11111-1-111−i−iiiii−i−iii−i−iii−i−i1-1i−i−ii
χ2111111111-1-111-1-1-1-1111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111-111-1-1
χ2211111111-1-111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-11-1-1-111
χ2311111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-1-1-1111111-1-111-1-111ii−i−i−i−i−i−iiiiiii−i−i-11i−i−ii
χ2411111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-1-1-1111111-1-111-1-111−i−iiiiiii−i−i−i−i−i−iii-11−iii−i
χ2511111111-1-1-1-11111-1-11111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-111-1-1
χ2611111111-1-1-1-11111-1-11111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-111
χ2711111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-11111-1-111-1-1111111-1-1−i−iiiiiii−i−i−i−i−i−iii-11i−i−ii
χ2811111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-11111-1-111-1-1111111-1-1ii−i−i−i−i−i−iiiiiii−i−i-11−iii−i
χ2911111111-1-1-1-111-1-11111111111111111111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-11-1-111
χ3011111111-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1111-1-1
χ3111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−iii−i−iii−i−i1-1−iii−i
χ3211111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iii−i−iii−i−iii1-1i−i−ii
χ3322-222-2-2-22-20000000022-2-2-222-22i2i2i−2i−2i−2i2i−2i00−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39002-2000000000000002i−2i00000000000000000000000000
χ3422-222-2-2-22-20000000022-2-2-222-22i2i2i−2i−2i−2i2i−2i002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002-2000000000000002i−2i00000000000000000000000000
χ3522-222-2-2-22-20000000022-2-2-222-2−2i−2i−2i2i2i2i−2i2i00−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37002-200000000000000−2i2i00000000000000000000000000
χ3622-222-2-2-22-20000000022-2-2-222-2−2i−2i−2i2i2i2i−2i2i002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002-200000000000000−2i2i00000000000000000000000000
χ3722-222-2-2-2-220000000022-2-2-222-22i2i2i−2i−2i−2i2i−2i00−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900-2200000000000000−2i2i00000000000000000000000000
χ3822-222-2-2-2-220000000022-2-2-222-22i2i2i−2i−2i−2i2i−2i002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3900-2200000000000000−2i2i00000000000000000000000000
χ3922-222-2-2-2-220000000022-2-2-222-2−2i−2i−2i2i2i2i−2i2i00−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700-22000000000000002i−2i00000000000000000000000000
χ4022-222-2-2-2-220000000022-2-2-222-2−2i−2i−2i2i2i2i−2i2i002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ3700-22000000000000002i−2i00000000000000000000000000
χ412-222-22-2-20000002i−2i002-222-22-2-22i2i−2i2i−2i−2i−2i2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000002i−2i00002-200000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ422-222-22-2-20000002i−2i002-222-22-2-22i2i−2i2i−2i−2i−2i2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000002i−2i00002-2000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ432-222-22-2-20000002i−2i002-222-22-2-2−2i−2i2i−2i2i2i2i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000002i−2i0000-22000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ442-222-22-2-20000002i−2i002-222-22-2-2−2i−2i2i−2i2i2i2i−2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000002i−2i0000-2200000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ452-222-22-2-2000000−2i2i002-222-22-2-22i2i−2i2i−2i−2i−2i2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000−2i2i0000-22000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ462-222-22-2-2000000−2i2i002-222-22-2-22i2i−2i2i−2i−2i−2i2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000−2i2i0000-2200000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ472-222-22-2-2000000−2i2i002-222-22-2-2−2i−2i2i−2i2i2i2i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000−2i2i00002-200000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ482-222-22-2-2000000−2i2i002-222-22-2-2−2i−2i2i−2i2i2i2i−2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000−2i2i00002-2000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ492-22-22-22-200002i−2i00002-22-22-22-22i−2i2i−2i2i−2i−2i2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000002i−2i000000000000002-2−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.