Finite Group Databasebeta

← Group #13036645

Character table — Group #13036645

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444422444444510101010101010444444442420202020202020202020202044448888888810101010202020204444444488888888888888888888448888
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-1-1ii−i−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−i−iii
χ511111111111111-1-111-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ611111111111111-1-111-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-11111
χ711111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−iii11−i−iii
χ811111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiii−i−i11ii−i−i
χ9111111111111-1-111-1-1111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ10111111111111-1-111-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ11111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i11−i−iii
χ12111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii11ii−i−i
χ13111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-111-1-11111111111ii−i−i−i−iii−i−i−i−i−i−iiiiiii-1-1ii−i−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-111-1-11111111111−i−iiiii−i−iiiiiii−i−i−i−i−i−i-1-1−i−iii
χ1711111111-1-1-1-11111-1-1-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-11-11-1
χ1811111111-1-1-1-11111-1-1-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-111111-1-11-11
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-1-1-111-1-1-1-11111−i−iiiii−i−iii−i−i−i−i−i−iiiii-11i−i−ii
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-1-1-111-1-1-1-11111ii−i−i−i−iii−i−iiiiiii−i−i−i−i-11−iii−i
χ2111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-11-11-11
χ2211111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-111-11-1
χ2311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i1111-1-1-1-111-1-111-1-1−i−i−i−iiiiiii−i−iii−i−iii−i−i1-1−iii−i
χ2411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii1111-1-1-1-111-1-111-1-1iiii−i−i−i−i−i−iii−i−iii−i−iii1-1i−i−ii
χ2511111111-1-1-1-1-1-11111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-11-11
χ2611111111-1-1-1-1-1-11111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-111-11-1
χ2711111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-11111-1-1-1-111-1-111−i−iiiii−i−i−i−iii−i−iii−i−iii1-1−iii−i
χ2811111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-11111-1-1-1-111-1-111ii−i−i−i−iiiii−i−iii−i−iii−i−i1-1i−i−ii
χ2911111111-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-11-1
χ3011111111-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11-1-11-11
χ3111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−iiiiiii−i−i−i−i-11i−i−ii
χ3211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−iii−i−i−i−i−i−iiiii-11−iii−i
χ332222-2-2-2-222-2-22-2002-2002-2-2-2-22222i2i−2i−2i2i2i−2i−2i0022-2-2000000002i2i−2i−2i000000002-2002-200002i−2i2i−2i0000000000000000000000000000
χ342222-2-2-2-222-2-22-2002-2002-2-2-2-2222−2i−2i2i2i−2i−2i2i2i0022-2-200000000−2i−2i2i2i000000002-2002-20000−2i2i−2i2i0000000000000000000000000000
χ352222-2-2-2-222-2-2-2200-22002-2-2-2-22222i2i−2i−2i2i2i−2i−2i0022-2-2000000002i2i−2i−2i00000000-2200-220000−2i2i−2i2i0000000000000000000000000000
χ362222-2-2-2-222-2-2-2200-22002-2-2-2-2222−2i−2i2i2i−2i−2i2i2i0022-2-200000000−2i−2i2i2i00000000-2200-2200002i−2i2i−2i0000000000000000000000000000
χ372222-2-2-2-2-2-2222-200-22002-2-2-2-22222i2i−2i−2i2i2i−2i−2i00-2-22200000000−2i−2i2i2i000000002-200-2200002i−2i−2i2i0000000000000000000000000000
χ382222-2-2-2-2-2-2222-200-22002-2-2-2-2222−2i−2i2i2i−2i−2i2i2i00-2-222000000002i2i−2i−2i000000002-200-220000−2i2i2i−2i0000000000000000000000000000
χ392222-2-2-2-2-2-222-22002-2002-2-2-2-22222i2i−2i−2i2i2i−2i−2i00-2-22200000000−2i−2i2i2i00000000-22002-20000−2i2i2i−2i0000000000000000000000000000
χ402222-2-2-2-2-2-222-22002-2002-2-2-2-2222−2i−2i2i2i−2i−2i2i2i00-2-222000000002i2i−2i−2i00000000-22002-200002i−2i−2i2i0000000000000000000000000000
χ4122-2-22-22-20000002i−2i0000222-2-22-2-22-22-22-22-20000002i2i−2i−2i0000000022-2-222-2-2000000002i−2i000000002i−2i002i−2i000000000000000000
χ4222-2-22-22-20000002i−2i0000222-2-22-2-22-22-22-22-20000002i2i−2i−2i00000000-2-222-2-222000000002i−2i00000000−2i2i00−2i2i000000000000000000
χ4322-2-22-22-20000002i−2i0000222-2-22-2-2-22-22-22-220000002i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i00000000-22002-2000000000000000000
χ4422-2-22-22-20000002i−2i0000222-2-22-2-2-22-22-22-220000002i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i000000002-200-22000000000000000000
χ4522-2-22-22-2000000−2i2i0000222-2-22-2-22-22-22-22-2000000−2i−2i2i2i0000000022-2-222-2-200000000−2i2i00000000−2i2i00−2i2i000000000000000000
χ4622-2-22-22-2000000−2i2i0000222-2-22-2-22-22-22-22-2000000−2i−2i2i2i00000000-2-222-2-22200000000−2i2i000000002i−2i002i−2i000000000000000000
χ4722-2-22-22-2000000−2i2i0000222-2-22-2-2-22-22-22-22000000−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i000000002i−2i000000002-200-22000000000000000000
χ4822-2-22-22-2000000−2i2i0000222-2-22-2-2-22-22-22-22000000−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i000000002i−2i00000000-22002-2000000000000000000
χ492-22-22-2-222i−2i2i−2i0000000022-22-2-22-22i−2i−2i2i−2i2i2i−2i002i−2i2i−2i000000002-22-200000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ502-22-22-2-222i−2i2i−2i0000000022-22-2-22-22i−2i−2i2i−2i2i2i−2i002i−2i2i−2i000000002-22-2000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ512-22-22-2-222i−2i2i−2i0000000022-22-2-22-2−2i2i2i−2i2i−2i−2i2i002i−2i2i−2i00000000-22-2200000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ522-22-22-2-222i−2i2i−2i0000000022-22-2-22-2−2i2i2i−2i2i−2i−2i2i002i−2i2i−2i00000000-22-22000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ532-22-22-2-22−2i2i−2i2i0000000022-22-2-22-22i−2i−2i2i−2i2i2i−2i00−2i2i−2i2i00000000-22-2200000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ542-22-22-2-22−2i2i−2i2i0000000022-22-2-22-22i−2i−2i2i−2i2i2i−2i00−2i2i−2i2i00000000-22-22000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ552-22-22-2-22−2i2i−2i2i0000000022-22-2-22-2−2i2i2i−2i2i−2i−2i2i00−2i2i−2i2i000000002-22-200000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ562-22-22-2-22−2i2i−2i2i0000000022-22-2-22-2−2i2i2i−2i2i−2i−2i2i00−2i2i−2i2i000000002-22-2000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ572-22-2-222-22i−2i−2i2i000000002-22-22-22-22-22-2-22-22002i−2i−2i2i00000000−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000002-2002-200000000000000000000
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χ622-22-2-222-2−2i2i2i−2i000000002-22-22-22-22-22-2-22-2200−2i2i2i−2i000000002i−2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000002-2002-200000000000000000000
χ632-22-2-222-2−2i2i2i−2i000000002-22-22-22-2-22-222-22-200−2i2i2i−2i00000000−2i2i2i−2i2-22-2-22-2200000000000000002i−2i00−2i2i00000000000000000000
χ642-22-2-222-2−2i2i2i−2i000000002-22-22-22-2-22-222-22-200−2i2i2i−2i00000000−2i2i2i−2i-22-222-22-20000000000000000−2i2i002i−2i00000000000000000000
χ652-2-22-2-22200000000002-22-222-2-2-222222-2-2-2-2000000000022-2-200002i−2i−2i2i2i−2i−2i2i000000000000002-20000000000002i−2i00002i−2i000000
χ662-2-22-2-22200000000002-22-222-2-2-222222-2-2-2-2000000000022-2-20000−2i2i2i−2i−2i2i2i−2i000000000000002-2000000000000−2i2i0000−2i2i000000
χ672-2-22-2-22200000000002-22-222-2-2-22-2-2-2-22222000000000022-2-200002-2-22-222-200000000000000-220000000000002-20000-22000000
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χ692-2-22-2-2220000000000-222-222-2-2-222222-2-2-2-20000000000-2-22200002i−2i−2i2i2i−2i−2i2i00000000000000-22000000000000−2i2i0000−2i2i000000
χ702-2-22-2-2220000000000-222-222-2-2-222222-2-2-2-20000000000-2-2220000−2i2i2i−2i−2i2i2i−2i00000000000000-220000000000002i−2i00002i−2i000000
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χ722-2-22-2-2220000000000-222-222-2-2-22-2-2-2-222220000000000-2-2220000-222-22-2-22000000000000002-20000000000002-20000-22000000
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χ7744444444-4-4-4-44444-4-4-4-4-1-1-1-1-1-1-1-100000000-441111-1-1-1-11111000000000000-1-11111-1-10000000000000000000000000000000000
χ7844444444-4-4-4-444-4-4-4-444-1-1-1-1-1-1-1-1000000004-411111111-1-1-1-1000000000000-1-1-1-111110000000000000000000000000000000000
χ7944444444-4-4-4-4-4-44444-4-4-1-1-1-1-1-1-1-1000000004-41111-1-1-1-1111100000000000011-1-1-1-1110000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-44444-1-1-1-1-1-1-1-100000000-4411111111-1-1-1-10000000000001111-1-1-1-10000000000000000000000000000000000
χ814444-4-4-4-444-4-44-4004-400-11111-1-1-10000000000-1-1115−55−55−55−5000000000000-115−5-115−50000000000000000000000000000000000
χ824444-4-4-4-444-4-44-4004-400-11111-1-1-10000000000-1-111−55−55−55−55000000000000-11−55-11−550000000000000000000000000000000000
χ834444-4-4-4-444-4-4-4400-4400-11111-1-1-10000000000-1-1115−55−55−55−50000000000001-1−551-1−550000000000000000000000000000000000
χ844444-4-4-4-444-4-4-4400-4400-11111-1-1-10000000000-1-111−55−55−55−550000000000001-15−51-15−50000000000000000000000000000000000
χ854444-4-4-4-4-4-4444-400-4400-11111-1-1-1000000000011-1-15−55−5−55−55000000000000-11−551-15−50000000000000000000000000000000000
χ864444-4-4-4-4-4-4444-400-4400-11111-1-1-1000000000011-1-1−55−555−55−5000000000000-115−51-1−550000000000000000000000000000000000
χ874444-4-4-4-4-4-444-44004-400-11111-1-1-1000000000011-1-15−55−5−55−550000000000001-15−5-11−550000000000000000000000000000000000
χ884444-4-4-4-4-4-444-44004-400-11111-1-1-1000000000011-1-1−55−555−55−50000000000001-1−55-115−50000000000000000000000000000000000
χ8944-4-4-44-440000000000004-4-4444-4-44i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-44-440000000000004-4-4444-4-4−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ914-4-4444-4-400000000000044-4-44-4-444i4i−4i−4i−4i−4i4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-4-400000000000044-4-44-4-44−4i−4i4i4i4i4i−4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-88-88-80000008i−8i0000-2-2-222-22200000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9488-8-88-88-8000000−8i8i0000-2-2-222-222000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-88000000000000-222-2-2-222000000000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000
χ9688-8-8-88-88000000000000-222-2-2-22200000000000000−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000
χ978-88-88-8-888i−8i8i−8i00000000-2-22-222-220000000000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000
χ988-88-88-8-88−8i8i−8i8i00000000-2-22-222-2200000000002i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000
χ998-88-8-888-88i−8i−8i8i00000000-22-22-22-220000000000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-888-8−8i8i8i−8i00000000-22-22-22-2200000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1018-8-8888-8-8000000000000-2-222-222-200000000000000000025−25−2525000000000000000000000000000000000000000000000000000000
χ1028-8-8888-8-8000000000000-2-222-222-2000000000000000000−252525−25000000000000000000000000000000000000000000000000000000
χ1038-8-88-8-88800000000008-8-22-2-2222-2000000000000000000-2-222000000000000000000000000000000000000000000000000000000
χ1048-8-88-8-8880000000000-88-22-2-2222-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000

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