Finite Group Databasebeta

← Group #13041572

Character table — Group #13041572

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444422444444510101010101010444444444410101010202020202020202044448888888820202020202020204444444488888888888888888888448888
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
χ51111111111111111-1-1-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111
χ71111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i−i−i−i−iiiii11−i−iii
χ81111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iiiiiii−i−i−i−i11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiiiii−i−i−i−i−i−i11−i−iii
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−iiiiiii11ii−i−i
χ13111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111
χ14111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1
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−i-1-1-1-1111111111111−i−i−i−iiiiiii−i−i−i−i−i−iiiii-1-1ii−i−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−iiiii-1-1-1-1111111111111iiii−i−i−i−i−i−iiiiiii−i−i−i−i-1-1−i−iii
χ1711111111-1-1-1-111-1-111-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-11-11-11-1
χ1811111111-1-1-1-111-1-111-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1111-1-11-11
χ1911111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-111-1-1-1-111-1-111ii−i−i−i−iii−i−iii−i−iii−i−iii-11i−i−ii
χ2011111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-111-1-1-1-111-1-111−i−iiiii−i−iii−i−iii−i−iii−i−i-11−iii−i
χ2111111111-1-1-1-111-1-1-1-1111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-11-11-11
χ2211111111-1-1-1-111-1-1-1-1111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-11111-1-1-111-11-1
χ2311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111-1-111-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiii−i−i1-1−iii−i
χ2411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111-1-111-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−iii1-1i−i−ii
χ2511111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-11-11
χ2611111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-111-111-11-1
χ2711111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii−i−iii−i−iii1-1−iii−i
χ2811111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−iii−i−iii−i−i1-1i−i−ii
χ2911111111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111-11-11-1
χ3011111111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-11111-1-11-1-11-11
χ3111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i-1-11111-1-111-1-111-1-1−i−iiiii−i−i−i−i−i−iiiiiii−i−i-11i−i−ii
χ3211111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii-1-11111-1-111-1-111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−iii-11−iii−i
χ3322-22-2-22-200002-200000022-2-2-222-22i2i−2i−2i2i2i−2i−2i0022-2-2000000000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002i−2i000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ3422-22-2-22-200002-200000022-2-2-222-22i2i−2i−2i2i2i−2i−2i0022-2-20000000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000002i−2i0000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ3522-22-2-22-200002-200000022-2-2-222-2−2i−2i2i2i−2i−2i2i2i0022-2-2000000000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−2i2i000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ3622-22-2-22-200002-200000022-2-2-222-2−2i−2i2i2i−2i−2i2i2i0022-2-20000000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−2i2i0000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ3722-22-2-22-20000-2200000022-2-2-222-22i2i−2i−2i2i2i−2i−2i00-2-222000000000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000−2i2i0000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
χ3822-22-2-22-20000-2200000022-2-2-222-22i2i−2i−2i2i2i−2i−2i00-2-2220000000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000−2i2i000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000
χ3922-22-2-22-20000-2200000022-2-2-222-2−2i−2i2i2i−2i−2i2i2i00-2-222000000000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002i−2i0000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000
χ4022-22-2-22-20000-2200000022-2-2-222-2−2i−2i2i2i−2i−2i2i2i00-2-2220000000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000002i−2i000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000
χ4122-2-22-2-2222-2-200002i−2i2i−2i222-2-2-2-222i−2i2i−2i2i−2i2i−2i00000022-2-200002i2i−2i−2i000000002i−2i2i−2i000000002-22-200000000000000000000000000
χ4222-2-22-2-2222-2-200002i−2i2i−2i222-2-2-2-22−2i2i−2i2i−2i2i−2i2i00000022-2-20000−2i−2i2i2i000000002i−2i2i−2i00000000-22-2200000000000000000000000000
χ4322-2-22-2-2222-2-20000−2i2i−2i2i222-2-2-2-222i−2i2i−2i2i−2i2i−2i00000022-2-200002i2i−2i−2i00000000−2i2i−2i2i00000000-22-2200000000000000000000000000
χ4422-2-22-2-2222-2-20000−2i2i−2i2i222-2-2-2-22−2i2i−2i2i−2i2i−2i2i00000022-2-20000−2i−2i2i2i00000000−2i2i−2i2i000000002-22-200000000000000000000000000
χ4522-2-22-2-22-2-22200002i−2i−2i2i222-2-2-2-222i−2i2i−2i2i−2i2i−2i000000-2-2220000−2i−2i2i2i000000002i−2i−2i2i000000002-2-2200000000000000000000000000
χ4622-2-22-2-22-2-22200002i−2i−2i2i222-2-2-2-22−2i2i−2i2i−2i2i−2i2i000000-2-22200002i2i−2i−2i000000002i−2i−2i2i00000000-222-200000000000000000000000000
χ4722-2-22-2-22-2-2220000−2i2i2i−2i222-2-2-2-222i−2i2i−2i2i−2i2i−2i000000-2-2220000−2i−2i2i2i00000000−2i2i2i−2i00000000-222-200000000000000000000000000
χ4822-2-22-2-22-2-2220000−2i2i2i−2i222-2-2-2-22−2i2i−2i2i−2i2i−2i2i000000-2-22200002i2i−2i−2i00000000−2i2i2i−2i000000002-2-2200000000000000000000000000
χ492-222-2-2-222-22-2000000002-2-22-22-222i−2i2i−2i−2i2i−2i2i0000002-22-200002i−2i2i−2i−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+2ζ37000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ502-222-2-2-222-22-2000000002-2-22-22-222i−2i2i−2i−2i2i−2i2i0000002-22-200002i−2i2i−2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ512-222-2-2-222-22-2000000002-2-22-22-22−2i2i−2i2i2i−2i2i−2i0000002-22-20000−2i2i−2i2i−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+2ζ39000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ522-222-2-2-222-22-2000000002-2-22-22-22−2i2i−2i2i2i−2i2i−2i0000002-22-20000−2i2i−2i2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ532-222-2-2-22-22-22000000002-2-22-22-222i−2i2i−2i−2i2i−2i2i000000-22-220000−2i2i−2i2i−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+2ζ370000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ542-222-2-2-22-22-22000000002-2-22-22-222i−2i2i−2i−2i2i−2i2i000000-22-220000−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ552-222-2-2-22-22-22000000002-2-22-22-22−2i2i−2i2i2i−2i2i−2i000000-22-2200002i−2i2i−2i−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+2ζ390000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
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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
χ744444444444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000000000000000
χ75444444444444-4-4-4-44444-1-1-1-1-1-1-1-100000000-4-41111-1-1-1-11111000000000000-1-1-1-111110000000000000000000000000000000000
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χ81444-4-44-4-400000000000044-444-4-4-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
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χ8744-4-44-4-44-4-44400004i−4i−4i4i-1-1-11111-100000000005−55−511-1-1−55−55000000000000−iii−ii5−i5−i5i50000000000000000000000000000000000
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χ8944-4-44-4-44-4-4440000−4i4i4i−4i-1-1-11111-100000000005−55−511-1-1−55−55000000000000i−i−ii−i5i5i5−i50000000000000000000000000000000000
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χ9588-88-8-88-800008-8000000-2-2222-2-220000000000-2-22200000000000000000000000000000000000000000000000000000000000000
χ9688-88-8-88-80000-88000000-2-2222-2-22000000000022-2-200000000000000000000000000000000000000000000000000000000000000
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χ1018-8-8888-8-80000008i−8i0000-22-22-2-222000000000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ1028-8-8888-8-8000000−8i8i0000-22-22-2-2220000000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ1038-8-8-8-88888-8-8800000000-2222-22-2-200000000000000-222-20000000000000000000000000000000000000000000000000000000000
χ1048-8-8-8-8888-888-800000000-2222-22-2-2000000000000002-2-220000000000000000000000000000000000000000000000000000000000

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