Finite Group Databasebeta

← Group #13036128

Character table — Group #13036128

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444422444444510101010101010444444442410101010202020202020202022228888888810102020202020202244444488888888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−i-1-1i−ii−i
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii-1-1−ii−ii
χ511111111111111-1-1-1-1111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111-1-1-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiiiii−i−i−i−i−i−i11−ii−ii
χ811111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−i−i−iiiiiii11i−ii−i
χ9111111111111-1-11111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ10111111111111-1-11111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111
χ11111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11111-1-111-1-1-1-111iiii−i−i−i−iii−i−i−i−i−i−iiiii11−ii−ii
χ12111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11111-1-111-1-1-1-111−i−i−i−iiiii−i−iiiiiii−i−i−i−i11i−ii−i
χ13111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111
χ14111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-11111111111−i−i−i−iiiiiii−i−i−i−i−i−iiiii-1-1i−ii−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-11111111111iiii−i−i−i−i−i−iiiiiii−i−i−i−i-1-1−ii−ii
χ1711111111-1-1-1-11111-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-111
χ1811111111-1-1-1-11111-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-111-1111-1-1
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-111-1-1ii−i−i−i−iii−i−iii−i−iii−i−iii1-1−iii−i
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−iiiii−i−iii−i−iii−i−iii−i−i1-1i−i−ii
χ2111111111-1-1-1-111-1-111-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-11-111-1-1
χ2211111111-1-1-1-111-1-111-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-11111-1-1111-1-1-111
χ2311111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iii−i−iii−i−iii-11i−i−ii
χ2411111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−iii−i−iii−i−i-11−iii−i
χ2511111111-1-1-1-1-1-111-1-1111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111-111-1-1
χ2611111111-1-1-1-1-1-111-1-1111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-11111-1-11-1-1-111
χ2711111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-111-1-111-1-1-1-11111ii−i−i−i−iii−i−i−i−iiiiiii−i−i-11i−i−ii
χ2811111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-111-1-111-1-1-1-11111−i−iiiii−i−iiiii−i−i−i−i−i−iii-11−iii−i
χ2911111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-11-1-111
χ3011111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-11111-1-1-1111-1-1
χ3111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−i−i−iiiiiii−i−i1-1−iii−i
χ3211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−iii1-1i−i−ii
χ3322-2-222-2-22i2i−2i−2i00000000222-22-2-2-22i2i2i−2i−2i−2i2i−2i0000002i2i−2i−2i000022-2-2000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000
χ3422-2-222-2-22i2i−2i−2i00000000222-22-2-2-22i2i2i−2i−2i−2i2i−2i0000002i2i−2i−2i000022-2-20000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000
χ3522-2-222-2-22i2i−2i−2i00000000222-22-2-2-2−2i−2i−2i2i2i2i−2i2i0000002i2i−2i−2i0000-2-222000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000
χ3622-2-222-2-22i2i−2i−2i00000000222-22-2-2-2−2i−2i−2i2i2i2i−2i2i0000002i2i−2i−2i0000-2-2220000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000
χ3722-2-222-2-2−2i−2i2i2i00000000222-22-2-2-22i2i2i−2i−2i−2i2i−2i000000−2i−2i2i2i0000-2-222000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000
χ3822-2-222-2-2−2i−2i2i2i00000000222-22-2-2-22i2i2i−2i−2i−2i2i−2i000000−2i−2i2i2i0000-2-2220000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000
χ3922-2-222-2-2−2i−2i2i2i00000000222-22-2-2-2−2i−2i−2i2i2i2i−2i2i000000−2i−2i2i2i000022-2-2000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000
χ4022-2-222-2-2−2i−2i2i2i00000000222-22-2-2-2−2i−2i−2i2i2i2i−2i2i000000−2i−2i2i2i000022-2-20000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000
χ4122-2-2-2-22200000000002-22-2-222-2-2222-222-2-2-2000000000022-2-200002i2i−2i−2i2i2i−2i−2i000000002-20000000000000000002i−2i00002i−2i000000
χ4222-2-2-2-22200000000002-22-2-222-2-2222-222-2-2-2000000000022-2-20000−2i−2i2i2i−2i−2i2i2i000000002-2000000000000000000−2i2i0000−2i2i000000
χ4322-2-2-2-22200000000002-22-2-222-2-22-2-22-2-2222000000000022-2-2000022-2-2-2-22200000000-220000000000000000002-20000-22000000
χ4422-2-2-2-22200000000002-22-2-222-2-22-2-22-2-2222000000000022-2-20000-2-22222-2-200000000-22000000000000000000-2200002-2000000
χ4522-2-2-2-2220000000000-222-2-222-2-2222-222-2-2-20000000000-2-22200002i2i−2i−2i2i2i−2i−2i00000000-22000000000000000000−2i2i0000−2i2i000000
χ4622-2-2-2-2220000000000-222-2-222-2-2222-222-2-2-20000000000-2-2220000−2i−2i2i2i−2i−2i2i2i00000000-220000000000000000002i−2i00002i−2i000000
χ4722-2-2-2-2220000000000-222-2-222-2-22-2-22-2-22220000000000-2-222000022-2-2-2-222000000002-2000000000000000000-2200002-2000000
χ4822-2-2-2-2220000000000-222-2-222-2-22-2-22-2-22220000000000-2-2220000-2-22222-2-2000000002-20000000000000000002-20000-22000000
χ492-22-22-22-22i−2i2i−2i002-22i−2i0022-22-22-2-22i−2i2i2i−2i−2i−2i2i0000002i−2i2i−2i00002-22-200000000002-22i−2i00002i−2i2-20000000000000000000000000000
χ502-22-22-22-22i−2i2i−2i002-22i−2i0022-22-22-2-2−2i2i−2i−2i2i2i2i−2i0000002i−2i2i−2i0000-22-2200000000002-22i−2i0000−2i2i-220000000000000000000000000000
χ512-22-22-22-22i−2i2i−2i00-22−2i2i0022-22-22-2-22i−2i2i2i−2i−2i−2i2i0000002i−2i2i−2i00002-22-20000000000-22−2i2i0000−2i2i-220000000000000000000000000000
χ522-22-22-22-22i−2i2i−2i00-22−2i2i0022-22-22-2-2−2i2i−2i−2i2i2i2i−2i0000002i−2i2i−2i0000-22-220000000000-22−2i2i00002i−2i2-20000000000000000000000000000
χ532-22-22-22-2−2i2i−2i2i002-2−2i2i0022-22-22-2-22i−2i2i2i−2i−2i−2i2i000000−2i2i−2i2i0000-22-2200000000002-2−2i2i00002i−2i-220000000000000000000000000000
χ542-22-22-22-2−2i2i−2i2i002-2−2i2i0022-22-22-2-2−2i2i−2i−2i2i2i2i−2i000000−2i2i−2i2i00002-22-200000000002-2−2i2i0000−2i2i2-20000000000000000000000000000
χ552-22-22-22-2−2i2i−2i2i00-222i−2i0022-22-22-2-22i−2i2i2i−2i−2i−2i2i000000−2i2i−2i2i0000-22-220000000000-222i−2i0000−2i2i2-20000000000000000000000000000
χ562-22-22-22-2−2i2i−2i2i00-222i−2i0022-22-22-2-2−2i2i−2i−2i2i2i2i−2i000000−2i2i−2i2i00002-22-20000000000-222i−2i00002i−2i-220000000000000000000000000000
χ572-22-2-22-2200002-20000002-22-2-22-222-2-2-22-2220022-2-20000000000002-22-22-22-2000000000000002-200000000002-200002-200000000
χ582-22-2-22-2200002-20000002-22-2-22-222-2-2-22-2220022-2-2000000000000-22-22-22-22000000000000002-20000000000-220000-2200000000
χ592-22-2-22-2200002-20000002-22-2-22-22-2222-22-2-20022-2-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000-2200000000002i−2i0000−2i2i00000000
χ602-22-2-22-2200002-20000002-22-2-22-22-2222-22-2-20022-2-2000000000000−2i2i−2i2i2i−2i2i−2i00000000000000-220000000000−2i2i00002i−2i00000000
χ612-22-2-22-220000-220000002-22-2-22-222-2-2-22-22200-2-2220000000000002-22-22-22-200000000000000-220000000000-220000-2200000000
χ622-22-2-22-220000-220000002-22-2-22-222-2-2-22-22200-2-222000000000000-22-22-22-2200000000000000-2200000000002-200002-200000000
χ632-22-2-22-220000-220000002-22-2-22-22-2222-22-2-200-2-2220000000000002i−2i2i−2i−2i2i−2i2i000000000000002-20000000000−2i2i00002i−2i00000000
χ642-22-2-22-220000-220000002-22-2-22-22-2222-22-2-200-2-222000000000000−2i2i−2i2i2i−2i2i−2i000000000000002-200000000002i−2i0000−2i2i00000000
χ652-2-222-2-222-2-220000000022-2-2-2-2222-22-222-2-20000002-2-2200002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000002i−2i00002i−2i0000000000
χ662-2-222-2-222-2-220000000022-2-2-2-2222-22-222-2-20000002-2-2200002-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000−2i2i0000−2i2i0000000000
χ672-2-222-2-222-2-220000000022-2-2-2-222-22-22-2-2220000002-2-220000-222-22-2-22-222-20000000000000000000000002-20000-220000000000
χ682-2-222-2-222-2-220000000022-2-2-2-222-22-22-2-2220000002-2-220000-222-2-222-22-2-22000000000000000000000000-2200002-20000000000
χ692-2-222-2-22-222-20000000022-2-2-2-2222-22-222-2-2000000-222-20000-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000−2i2i0000−2i2i0000000000
χ702-2-222-2-22-222-20000000022-2-2-2-2222-22-222-2-2000000-222-20000-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000002i−2i00002i−2i0000000000
χ712-2-222-2-22-222-20000000022-2-2-2-222-22-22-2-222000000-222-200002-2-222-2-22-222-2000000000000000000000000-2200002-20000000000
χ722-2-222-2-22-222-20000000022-2-2-2-222-22-22-2-222000000-222-200002-2-22-222-22-2-220000000000000000000000002-20000-220000000000
χ7344444444444444444444-1-1-1-1-1-1-1-10000000044-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ7444444444444444-4-4-4-444-1-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000000000000000
χ75444444444444-4-44444-4-4-1-1-1-1-1-1-1-100000000-4-41111-1-1-1-1111100000000000011-1-1-1-1110000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-100000000441111-1-1-1-11111000000000000-1-11111-1-10000000000000000000000000000000000
χ7744444444-4-4-4-44444-4-4-4-4-1-1-1-1-1-1-1-1000000004-4-1-1-1-111111111000000000000-1-1-1-111110000000000000000000000000000000000
χ7844444444-4-4-4-444-4-444-4-4-1-1-1-1-1-1-1-100000000-44-1-1-1-1111111110000000000001111-1-1-1-10000000000000000000000000000000000
χ7944444444-4-4-4-4-4-444-4-444-1-1-1-1-1-1-1-100000000-4411111111-1-1-1-100000000000011-1-111-1-10000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-44444-1-1-1-1-1-1-1-1000000004-411111111-1-1-1-1000000000000-1-111-1-1110000000000000000000000000000000000
χ814444-4-4-4-40000000000004-4-4-4444-44i4i−4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ824444-4-4-4-40000000000004-4-4-4444-4−4i−4i4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ834-44-44-44-44i−4i4i−4i004-44i−4i00-1-11-11-11100000000005−55−5−ii−iii5−i5i5−i50000000000005−5-11−iii5−i50000000000000000000000000000000000
χ844-44-44-44-44i−4i4i−4i004-44i−4i00-1-11-11-1110000000000−55−55−ii−ii−i5i5−i5i5000000000000−55-11−ii−i5i50000000000000000000000000000000000
χ854-44-44-44-44i−4i4i−4i00-44−4i4i00-1-11-11-11100000000005−55−5−ii−iii5−i5i5−i5000000000000−551-1i−i−i5i50000000000000000000000000000000000
χ864-44-44-44-44i−4i4i−4i00-44−4i4i00-1-11-11-1110000000000−55−55−ii−ii−i5i5−i5i50000000000005−51-1i−ii5−i50000000000000000000000000000000000
χ874-44-44-44-4−4i4i−4i4i004-4−4i4i00-1-11-11-11100000000005−55−5i−ii−i−i5i5−i5i50000000000005−5-11i−i−i5i50000000000000000000000000000000000
χ884-44-44-44-4−4i4i−4i4i004-4−4i4i00-1-11-11-1110000000000−55−55i−ii−ii5−i5i5−i5000000000000−55-11i−ii5−i50000000000000000000000000000000000
χ894-44-44-44-4−4i4i−4i4i00-444i−4i00-1-11-11-11100000000005−55−5i−ii−i−i5i5−i5i5000000000000−551-1−iii5−i50000000000000000000000000000000000
χ904-44-44-44-4−4i4i−4i4i00-444i−4i00-1-11-11-1110000000000−55−55i−ii−ii5−i5i5−i50000000000005−51-1−ii−i5i50000000000000000000000000000000000
χ914-4-44-444-40000000000004-444-4-44-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-444-40000000000004-444-4-44-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ938888-8-8-8-8000000000000-2222-2-2-22000000000025−25−252500000000000000000000000000000000000000000000000000000000000000
χ948888-8-8-8-8000000000000-2222-2-2-220000000000−252525−2500000000000000000000000000000000000000000000000000000000000000
χ9588-8-888-8-88i8i−8i−8i00000000-2-2-22-222200000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9688-8-888-8-8−8i−8i8i8i00000000-2-2-22-2222000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9788-8-8-8-88800000000008-8-222-2-222-2000000000000000000-2-222000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-8880000000000-88-222-2-222-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000
χ998-88-8-88-8800008-8000000-22-222-22-20000000000-2-22200000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-880000-88000000-22-222-22-2000000000022-2-200000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-888-8-8800000000-2-22222-2-200000000000000-222-20000000000000000000000000000000000000000000000000000000000
χ1028-8-888-8-88-888-800000000-2-22222-2-2000000000000002-2-220000000000000000000000000000000000000000000000000000000000
χ1038-8-88-888-8000000000000-22-2-222-220000000000000000002i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000
χ1048-8-88-888-8000000000000-22-2-222-22000000000000000000−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000

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