Finite Group Databasebeta

← Group #13041407

Character table — Group #13041407

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444422224444510101010101010444444444420202020202020202020202044448888888810101010202020202244444488888888888888888888448888
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−i11111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiii−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−i−i−iiiiiii−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i11−i−iii
χ81111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111iiiiii−i−i−i−i−i−i−i−i−i−iiiii11−i−iii
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−iiiiiiiiiii−i−i−i−i11ii−i−i
χ13111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1
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-1-1-1-1111111111111ii−i−i−i−i−i−iiiii−i−i−i−iiiii-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-1-1-1-1111111111111−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1−i−iii
χ1711111111-1-1-1-111-1-111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11-11-11-1
χ1811111111-1-1-1-111-1-111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1111-1-11-11
χ1911111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-111-1-111-1-1-1-111−i−iii−i−iii−i−iiiii−i−i−i−iii-11i−i−ii
χ2011111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-111-1-111-1-1-1-111ii−i−iii−i−iii−i−i−i−iiiii−i−i-11−iii−i
χ2111111111-1-1-1-111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-11-11
χ2211111111-1-1-1-111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-111-1-111-111-11-1
χ2311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i11-1-1-1-111-1-111-1-111−i−i−i−iiiiiii−i−iii−i−i−i−iii1-1−iii−i
χ2411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiii11-1-1-1-111-1-111-1-111iiii−i−i−i−i−i−iii−i−iiiii−i−i1-1i−i−ii
χ2511111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-11-11-11
χ2611111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-11111-1-111-1-1-111-11-1
χ2711111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iii−i−iii−i−iiiii−i−i1-1−iii−i
χ2811111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-111-1-11111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii1-1i−i−ii
χ2911111111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111-11-11-1
χ3011111111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-111-1-111-1-11-1-11-11
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-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiii−i−i−i−iiiii−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-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iii-11−iii−i
χ3322-222-2-2-2000000002-20022-2-22-2-222i2i2i−2i−2i−2i2i−2i00000022-2-200000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000002i−2i000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000
χ3422-222-2-2-2000000002-20022-2-22-2-222i2i2i−2i−2i−2i2i−2i00000022-2-2000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000002i−2i0000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000
χ3522-222-2-2-2000000002-20022-2-22-2-22−2i−2i−2i2i2i2i−2i2i00000022-2-200000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000−2i2i000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000
χ3622-222-2-2-2000000002-20022-2-22-2-22−2i−2i−2i2i2i2i−2i2i00000022-2-2000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000−2i2i0000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000
χ3722-222-2-2-200000000-220022-2-22-2-222i2i2i−2i−2i−2i2i−2i000000-2-22200000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000−2i2i0000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000
χ3822-222-2-2-200000000-220022-2-22-2-222i2i2i−2i−2i−2i2i−2i000000-2-222000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000−2i2i000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000
χ3922-222-2-2-200000000-220022-2-22-2-22−2i−2i−2i2i2i2i−2i2i000000-2-22200000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000002i−2i0000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000
χ4022-222-2-2-200000000-220022-2-22-2-22−2i−2i−2i2i2i2i−2i2i000000-2-222000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000002i−2i000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000
χ4122-2-2-222-222-2-22-22-20000222-2-22-2-22i2i−2i2i−2i−2i−2i2i0022-2-2000000002i2i−2i−2i000000002-22-2000000002i−2i2i−2i00000000000000000000000000
χ4222-2-2-222-222-2-22-22-20000222-2-22-2-2−2i−2i2i−2i2i2i2i−2i0022-2-200000000−2i−2i2i2i000000002-22-200000000−2i2i−2i2i00000000000000000000000000
χ4322-2-2-222-222-2-2-22-220000222-2-22-2-22i2i−2i2i−2i−2i−2i2i0022-2-2000000002i2i−2i−2i00000000-22-2200000000−2i2i−2i2i00000000000000000000000000
χ4422-2-2-222-222-2-2-22-220000222-2-22-2-2−2i−2i2i−2i2i2i2i−2i0022-2-200000000−2i−2i2i2i00000000-22-22000000002i−2i2i−2i00000000000000000000000000
χ4522-2-2-222-2-2-2222-2-220000222-2-22-2-22i2i−2i2i−2i−2i−2i2i00-2-22200000000−2i−2i2i2i000000002-2-22000000002i−2i−2i2i00000000000000000000000000
χ4622-2-2-222-2-2-2222-2-220000222-2-22-2-2−2i−2i2i−2i2i2i2i−2i00-2-222000000002i2i−2i−2i000000002-2-2200000000−2i2i2i−2i00000000000000000000000000
χ4722-2-2-222-2-2-222-222-20000222-2-22-2-22i2i−2i2i−2i−2i−2i2i00-2-22200000000−2i−2i2i2i00000000-222-200000000−2i2i2i−2i00000000000000000000000000
χ4822-2-2-222-2-2-222-222-20000222-2-22-2-2−2i−2i2i−2i2i2i2i−2i00-2-222000000002i2i−2i−2i00000000-222-2000000002i−2i−2i2i00000000000000000000000000
χ492-222-22-2-22-22-2000000002-2-22-22-222i−2i2i−2i2i−2i−2i2i002-22-2000000002i−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+2ζ370000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000
χ502-222-22-2-22-22-2000000002-2-22-22-222i−2i2i−2i2i−2i−2i2i002-22-2000000002i−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+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000
χ512-222-22-2-22-22-2000000002-2-22-22-22−2i2i−2i2i−2i2i2i−2i002-22-200000000−2i2i−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+2ζ390000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000
χ522-222-22-2-22-22-2000000002-2-22-22-22−2i2i−2i2i−2i2i2i−2i002-22-200000000−2i2i−2i2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000
χ532-222-22-2-2-22-22000000002-2-22-22-222i−2i2i−2i2i−2i−2i2i00-22-2200000000−2i2i−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+2ζ3700000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000
χ542-222-22-2-2-22-22000000002-2-22-22-222i−2i2i−2i2i−2i−2i2i00-22-2200000000−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000
χ552-222-22-2-2-22-22000000002-2-22-22-22−2i2i−2i2i−2i2i2i−2i00-22-22000000002i−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+2ζ3900000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000
χ562-222-22-2-2-22-22000000002-2-22-22-22−2i2i−2i2i−2i2i2i−2i00-22-22000000002i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000
χ572-2-22-2-22200000000002-22-22-2-2-2222-222-22-2-2000000000022-2-200002i−2i−2i2i−2i2i2i−2i000000002-200000000002i−2i00002i−2i00000000000000
χ582-2-22-2-22200000000002-22-22-2-2-2222-222-22-2-2000000000022-2-20000−2i2i2i−2i2i−2i−2i2i000000002-20000000000−2i2i0000−2i2i00000000000000
χ592-2-22-2-22200000000002-22-22-2-2-222-22-2-22-222000000000022-2-200002-2-222-2-2200000000-2200000000002-20000-2200000000000000
χ602-2-22-2-22200000000002-22-22-2-2-222-22-2-22-222000000000022-2-20000-222-2-222-200000000-220000000000-2200002-200000000000000
χ612-2-22-2-2220000000000-222-22-2-2-2222-222-22-2-20000000000-2-22200002i−2i−2i2i−2i2i2i−2i00000000-220000000000−2i2i0000−2i2i00000000000000
χ622-2-22-2-2220000000000-222-22-2-2-2222-222-22-2-20000000000-2-2220000−2i2i2i−2i2i−2i−2i2i00000000-2200000000002i−2i00002i−2i00000000000000
χ632-2-22-2-2220000000000-222-22-2-2-222-22-2-22-2220000000000-2-22200002-2-222-2-22000000002-20000000000-2200002-200000000000000
χ642-2-22-2-2220000000000-222-22-2-2-222-22-2-22-2220000000000-2-2220000-222-2-222-2000000002-200000000002-20000-2200000000000000
χ652-2-2-222-222-2-22000000002-2-2-2222-22-2-2-2-2222002-2-22000000002-2-220000000000000000000000000000000000002-22-22-22-2000000
χ662-2-2-222-222-2-22000000002-2-2-2222-22-2-2-2-2222002-2-22000000002-2-22000000000000000000000000000000000000-22-22-22-22000000
χ672-2-2-222-222-2-22000000002-2-2-2222-2-22222-2-2-2002-2-2200000000-222-20000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000
χ682-2-2-222-222-2-22000000002-2-2-2222-2-22222-2-2-2002-2-2200000000-222-2000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000
χ692-2-2-222-22-222-2000000002-2-2-2222-22-2-2-2-222200-222-200000000-222-20000000000000000000000000000000000002-2-222-2-22000000
χ702-2-2-222-22-222-2000000002-2-2-2222-22-2-2-2-222200-222-200000000-222-2000000000000000000000000000000000000-222-2-222-2000000
χ712-2-2-222-22-222-2000000002-2-2-2222-2-22222-2-2-200-222-2000000002-2-220000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000
χ722-2-2-222-22-222-2000000002-2-2-2222-2-22222-2-2-200-222-2000000002-2-22000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000
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
χ744444444444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-4-4-1-1-1-111111111000000000000-1-1-1-111110000000000000000000000000000000000
χ75444444444444-4-4-4-44444-1-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-10000000044-1-1-1-1111111110000000000001111-1-1-1-10000000000000000000000000000000000
χ7744444444-4-4-4-444-4-444-4-4-1-1-1-1-1-1-1-1000000004-41111-1-1-1-11111000000000000-1-111-1-1110000000000000000000000000000000000
χ7844444444-4-4-4-444-4-4-4-444-1-1-1-1-1-1-1-100000000-4411111111-1-1-1-1000000000000-1-11111-1-10000000000000000000000000000000000
χ7944444444-4-4-4-4-4-44444-4-4-1-1-1-1-1-1-1-100000000-441111-1-1-1-1111100000000000011-1-111-1-10000000000000000000000000000000000
χ8044444444-4-4-4-4-4-444-4-444-1-1-1-1-1-1-1-1000000004-411111111-1-1-1-100000000000011-1-1-1-1110000000000000000000000000000000000
χ81444-4-4-4-4400000000000044-44-4-44-444-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-4400000000000044-44-4-44-4-4-444-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-444-444-4-44-44-40000-1-1-111-1110000000000-1-111i5−i5i5−i5i5−i5i5−i5000000000000-11-11i5−i5i5−i50000000000000000000000000000000000
χ8444-4-4-444-444-4-44-44-40000-1-1-111-1110000000000-1-111−i5i5−i5i5−i5i5−i5i5000000000000-11-11−i5i5−i5i50000000000000000000000000000000000
χ8544-4-4-444-444-4-4-44-440000-1-1-111-1110000000000-1-111i5−i5i5−i5i5−i5i5−i50000000000001-11-1−i5i5−i5i50000000000000000000000000000000000
χ8644-4-4-444-444-4-4-44-440000-1-1-111-1110000000000-1-111−i5i5−i5i5−i5i5−i5i50000000000001-11-1i5−i5i5−i50000000000000000000000000000000000
χ8744-4-4-444-4-4-4444-4-440000-1-1-111-111000000000011-1-1i5−i5i5−i5−i5i5−i5i5000000000000-111-1i5−i5−i5i50000000000000000000000000000000000
χ8844-4-4-444-4-4-4444-4-440000-1-1-111-111000000000011-1-1−i5i5−i5i5i5−i5i5−i5000000000000-111-1−i5i5i5−i50000000000000000000000000000000000
χ8944-4-4-444-4-4-444-444-40000-1-1-111-111000000000011-1-1i5−i5i5−i5−i5i5−i5i50000000000001-1-11−i5i5i5−i50000000000000000000000000000000000
χ9044-4-4-444-4-4-444-444-40000-1-1-111-111000000000011-1-1−i5i5−i5i5i5−i5i5−i50000000000001-1-11i5−i5−i5i50000000000000000000000000000000000
χ914-44-44-44-40000000000004-4444-4-4-44i−4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-44-40000000000004-4444-4-4-4−4i4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ93888-8-8-8-88000000000000-2-22-222-22000000000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000
χ94888-8-8-8-88000000000000-2-22-222-2200000000000000−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000
χ9588-888-8-8-8000000008-800-2-222-222-200000000000000-2-2220000000000000000000000000000000000000000000000000000000000
χ9688-888-8-8-800000000-8800-2-222-222-20000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ978-888-88-8-88-88-800000000-222-22-22-20000000000-22-2200000000000000000000000000000000000000000000000000000000000000
χ988-888-88-8-8-88-8800000000-222-22-22-200000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ998-88-88-88-8000000000000-22-2-2-22220000000000000000002i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000
χ1008-88-88-88-8000000000000-22-2-2-2222000000000000000000−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000
χ1018-8-88-8-88800000000008-8-22-2222-2-2000000000000000000-2-222000000000000000000000000000000000000000000000000000000
χ1028-8-88-8-8880000000000-88-22-2222-2-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000
χ1038-8-8-888-888-8-8800000000-2222-2-2-220000000000-222-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-888-88-888-800000000-2222-2-2-2200000000002-2-2200000000000000000000000000000000000000000000000000000000000000

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