Finite Group Databasebeta

← Group #13034852

Character table — Group #13034852

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222222222222251010101010101044444444244410101010101010101010101044444444101020202020202044888888888888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111
χ9111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ10111111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11
χ11111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ12111111111111-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-11-1
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11-1
χ15111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-11-11
χ16111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-11-11
χ1711111111-1-1-1-11111-1-111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-1-11
χ1811111111-1-1-1-11111-1-111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-1-11
χ1911111111-1-1-1-11111-1-11111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-111-1
χ2011111111-1-1-1-11111-1-11111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-111-1
χ2111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-111-1
χ2211111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-111-1
χ2311111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-1-11
χ2411111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-1-11
χ2511111111-1-1-1-1-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ2611111111-1-1-1-1-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2711111111-1-1-1-1-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1
χ2811111111-1-1-1-1-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ2911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1
χ3011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1
χ3111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-111
χ3211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-111
χ33222-2-22-2-222-2-2000000222-2-22-2-22i−2i2i2i−2i−2i2i−2i000022-2-2000000002i2i−2i−2i000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ34222-2-22-2-222-2-2000000222-2-22-2-22i−2i2i2i−2i−2i2i−2i000022-2-2000000002i2i−2i−2i0000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ35222-2-22-2-222-2-2000000222-2-22-2-2−2i2i−2i−2i2i2i−2i2i000022-2-200000000−2i−2i2i2i000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ36222-2-22-2-222-2-2000000222-2-22-2-2−2i2i−2i−2i2i2i−2i2i000022-2-200000000−2i−2i2i2i0000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ37222-2-22-2-2-2-222000000222-2-22-2-22i−2i2i2i−2i−2i2i−2i0000-2-22200000000−2i−2i2i2i000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ38222-2-22-2-2-2-222000000222-2-22-2-22i−2i2i2i−2i−2i2i−2i0000-2-22200000000−2i−2i2i2i0000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ39222-2-22-2-2-2-222000000222-2-22-2-2−2i2i−2i−2i2i2i−2i2i0000-2-222000000002i2i−2i−2i000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ40222-2-22-2-2-2-222000000222-2-22-2-2−2i2i−2i−2i2i2i−2i2i0000-2-222000000002i2i−2i−2i0000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ4122-22-2-2-22000022-2-20022-22-2-22-2222-22-2-2-20000000022-2-20000000022-2-200000000000000000000000000002i−2i002i−2i002i−2i002i−2i0000
χ4222-22-2-2-22000022-2-20022-22-2-22-2222-22-2-2-20000000022-2-20000000022-2-20000000000000000000000000000−2i2i00−2i2i00−2i2i00−2i2i0000
χ4322-22-2-2-22000022-2-20022-22-2-22-2-2-2-22-22220000000022-2-200000000-2-22200000000000000000000000000002-2002-200-2200-220000
χ4422-22-2-2-22000022-2-20022-22-2-22-2-2-2-22-22220000000022-2-200000000-2-2220000000000000000000000000000-2200-22002-2002-20000
χ4522-22-2-2-220000-2-2220022-22-2-22-2222-22-2-2-200000000-2-22200000000-2-22200000000000000000000000000002i−2i00−2i2i002i−2i00−2i2i0000
χ4622-22-2-2-220000-2-2220022-22-2-22-2222-22-2-2-200000000-2-22200000000-2-2220000000000000000000000000000−2i2i002i−2i00−2i2i002i−2i0000
χ4722-22-2-2-220000-2-2220022-22-2-22-2-2-2-22-222200000000-2-2220000000022-2-200000000000000000000000000002-200-2200-22002-20000
χ4822-22-2-2-220000-2-2220022-22-2-22-2-2-2-22-222200000000-2-2220000000022-2-20000000000000000000000000000-22002-2002-200-220000
χ492-22-22-2-2200002-22-2002-22-22-22-222-22-22-2-2000000002-22-2000000002-22-2000000000000000000000000002i−2i002i−2i002i−2i002i−2i000000
χ502-22-22-2-2200002-22-2002-22-22-22-222-22-22-2-2000000002-22-2000000002-22-200000000000000000000000000−2i2i00−2i2i00−2i2i00−2i2i000000
χ512-22-22-2-2200002-22-2002-22-22-22-2-2-22-22-222000000002-22-200000000-22-22000000000000000000000000002-2002-200-2200-22000000
χ522-22-22-2-2200002-22-2002-22-22-22-2-2-22-22-222000000002-22-200000000-22-2200000000000000000000000000-2200-22002-2002-2000000
χ532-22-22-2-220000-22-22002-22-22-22-222-22-22-2-200000000-22-2200000000-22-22000000000000000000000000002i−2i00−2i2i002i−2i00−2i2i000000
χ542-22-22-2-220000-22-22002-22-22-22-222-22-22-2-200000000-22-2200000000-22-2200000000000000000000000000−2i2i002i−2i00−2i2i002i−2i000000
χ552-22-22-2-220000-22-22002-22-22-22-2-2-22-22-22200000000-22-22000000002-22-2000000000000000000000000002-200-2200-22002-2000000
χ562-22-22-2-220000-22-22002-22-22-22-2-2-22-22-22200000000-22-22000000002-22-200000000000000000000000000-22002-2002-200-22000000
χ572-2-2222-2-22-22-20000002-2-2222-2-22i−2i−2i−2i2i2i2i−2i00002-22-2000000002i−2i2i−2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000000000
χ582-2-2222-2-22-22-20000002-2-2222-2-22i−2i−2i−2i2i2i2i−2i00002-22-2000000002i−2i2i−2i000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000000000
χ592-2-2222-2-22-22-20000002-2-2222-2-2−2i2i2i2i−2i−2i−2i2i00002-22-200000000−2i2i−2i2i00000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000000000
χ602-2-2222-2-22-22-20000002-2-2222-2-2−2i2i2i2i−2i−2i−2i2i00002-22-200000000−2i2i−2i2i000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000000000
χ612-2-2222-2-2-22-220000002-2-2222-2-22i−2i−2i−2i2i2i2i−2i0000-22-2200000000−2i2i−2i2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000000000
χ622-2-2222-2-2-22-220000002-2-2222-2-22i−2i−2i−2i2i2i2i−2i0000-22-2200000000−2i2i−2i2i000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000000000
χ632-2-2222-2-2-22-220000002-2-2222-2-2−2i2i2i2i−2i−2i−2i2i0000-22-22000000002i−2i2i−2i00000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000000000
χ642-2-2222-2-2-22-220000002-2-2222-2-2−2i2i2i2i−2i−2i−2i2i0000-22-22000000002i−2i2i−2i000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000000000
χ652-2-2-2-22222-2-222-2-222-22-2-2-2-222222-2-2-2-22200002-2-222-2-2222-2-22-2-222-2-22000000002-2000000000000000000000000000000000000
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χ672-2-2-2-22222-2-22-222-2-222-2-2-2-222222-2-2-2-22200002-2-22-222-2-2-2222-2-22-222-200000000-22000000000000000000000000000000000000
χ682-2-2-2-22222-2-22-222-2-222-2-2-2-2222-2-22222-2-200002-2-22-222-2-2-222-222-22-2-22000000002-2000000000000000000000000000000000000
χ692-2-2-2-2222-222-22-2-22-222-2-2-2-222222-2-2-2-2220000-222-22-2-22-2-222-222-22-2-2200000000-22000000000000000000000000000000000000
χ702-2-2-2-2222-222-22-2-22-222-2-2-2-2222-2-22222-2-20000-222-22-2-22-2-2222-2-22-222-2000000002-2000000000000000000000000000000000000
χ712-2-2-2-2222-222-2-222-22-22-2-2-2-222222-2-2-2-2220000-222-2-222-222-2-2-222-2-222-2000000002-2000000000000000000000000000000000000
χ722-2-2-2-2222-222-2-222-22-22-2-2-2-2222-2-22222-2-20000-222-2-222-222-2-22-2-222-2-2200000000-22000000000000000000000000000000000000
χ73444444444444444444-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ74444444444444444444-1-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000000000000000000000000000000000
χ75444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-10000000044-4-4-1-1-1-11111111100000000-1-1-1-1111100000000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-100000000-4-444-1-1-1-111111111000000001111-1-1-1-100000000000000000000000000000000000000
χ7744444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-1000000004-4-441111-1-1-1-1111100000000-1-111-1-11100000000000000000000000000000000000000
χ7844444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-100000000-444-41111-1-1-1-111110000000011-1-111-1-100000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-1000000004-44-411111111-1-1-1-100000000-1-11111-1-100000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-44-4411111111-1-1-1-10000000011-1-1-1-11100000000000000000000000000000000000000
χ8144-4-44-44-4000000000044-4-44-4-444i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-44-44-4000000000044-4-44-4-44−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ834-444-4-44-400000000004-444-4-4-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ844-444-4-44-400000000004-444-4-4-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ854-4-4-4-44444-4-444-4-444-4-11111-1-1-1000000000000-111-1-111-1-1-111000000005−55−55−55−500000000000000000000000000000000000000
χ864-4-4-4-44444-4-444-4-444-4-11111-1-1-1000000000000-111-1-111-1-1-11100000000−55−55−55−5500000000000000000000000000000000000000
χ874-4-4-4-44444-4-44-444-4-44-11111-1-1-1000000000000-111-11-1-1111-1-1000000005−55−5−55−5500000000000000000000000000000000000000
χ884-4-4-4-44444-4-44-444-4-44-11111-1-1-1000000000000-111-11-1-1111-1-100000000−55−555−55−500000000000000000000000000000000000000
χ894-4-4-4-4444-444-44-4-44-44-11111-1-1-10000000000001-1-11-111-111-1-1000000005−5−555−5−5500000000000000000000000000000000000000
χ904-4-4-4-4444-444-44-4-44-44-11111-1-1-10000000000001-1-11-111-111-1-100000000−555−5−555−500000000000000000000000000000000000000
χ914-4-4-4-4444-444-4-444-44-4-11111-1-1-10000000000001-1-111-1-11-1-111000000005−5−55−555−500000000000000000000000000000000000000
χ924-4-4-4-4444-444-4-444-44-4-11111-1-1-10000000000001-1-111-1-11-1-11100000000−555−55−5−5500000000000000000000000000000000000000
χ93888-8-88-8-888-8-8000000-2-2-222-222000000000000-2-22200000000000000000000000000000000000000000000000000000000000000
χ94888-8-88-8-8-8-888000000-2-2-222-22200000000000022-2-200000000000000000000000000000000000000000000000000000000000000
χ9588-88-8-8-88000088-8-800-2-22-222-220000000000000000-2-2220000000000000000000000000000000000000000000000000000000000
χ9688-88-8-8-880000-8-88800-2-22-222-22000000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ9788-8-88-88-80000000000-2-222-222-20000000000000000000025−2525−25000000000000000000000000000000000000000000000000000000
χ9888-8-88-88-80000000000-2-222-222-200000000000000000000−2525−2525000000000000000000000000000000000000000000000000000000
χ998-888-8-88-80000000000-22-2-2222-20000000000000000000025−25−2525000000000000000000000000000000000000000000000000000000
χ1008-888-8-88-80000000000-22-2-2222-200000000000000000000−252525−25000000000000000000000000000000000000000000000000000000
χ1018-88-88-8-8800008-88-800-22-22-22-220000000000000000-22-220000000000000000000000000000000000000000000000000000000000
χ1028-88-88-8-880000-88-8800-22-22-22-2200000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1038-8-8888-8-88-88-8000000-222-2-2-222000000000000-22-2200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8888-8-8-88-88000000-222-2-2-2220000000000002-22-200000000000000000000000000000000000000000000000000000000000000

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