Finite Group Databasebeta

← Group #13035191

Character table — Group #13035191

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222222244444444510101010101010444444444410101010202020202020202044448888888820202020202020202222444488888888888888888888448888
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−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−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−i−i−iiiiiiiii−i−iii-1-1−i−iii
χ51111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
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−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−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−i−i−iiiiiiiii−i−i−i−i−i−iii11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i11−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-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii11ii−i−i
χ13111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ14111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
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-1-1-1-1111111111111−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-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-1-1-1-1111111111111iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-1−i−iii
χ1711111111-1-1-1-111-1-111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11-11-11-1
χ1811111111-1-1-1-111-1-111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111-1-11-11
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−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii-11i−i−ii
χ2011111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−i-11−iii−i
χ2111111111-1-1-1-111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-11-11-11
χ2211111111-1-1-1-111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-111-11-1
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−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−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−iiiii11-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i1-1i−i−ii
χ2511111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-11-11
χ2611111111-1-1-1-1-1-11111-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-111-11-1
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-1-111-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iii1-1−iii−i
χ2811111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-111-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i1-1i−i−ii
χ2911111111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-11-11-11-1
χ3011111111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-111-1-111111-1-11-11
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−iii−i−iiiii−i−iii−i−i−i−iii-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−iii−i−i−i−iii−i−iiiii−i−i-11−iii−i
χ33222-2-2-2-2222-2-22i−2i2i−2i0000222-2-2-2-2222-2-2-2-2220022-2-20000000022-2-2000000002i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000
χ34222-2-2-2-2222-2-22i−2i2i−2i0000222-2-2-2-22-2-22222-2-20022-2-200000000-2-222000000002i−2i2i−2i00000000−2i2i−2i2i00000000000000000000000000
χ35222-2-2-2-2222-2-2−2i2i−2i2i0000222-2-2-2-2222-2-2-2-2220022-2-20000000022-2-200000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000000000
χ36222-2-2-2-2222-2-2−2i2i−2i2i0000222-2-2-2-22-2-22222-2-20022-2-200000000-2-22200000000−2i2i−2i2i000000002i−2i2i−2i00000000000000000000000000
χ37222-2-2-2-22-2-2222i−2i−2i2i0000222-2-2-2-2222-2-2-2-22200-2-22200000000-2-222000000002i−2i−2i2i000000002i−2i−2i2i00000000000000000000000000
χ38222-2-2-2-22-2-2222i−2i−2i2i0000222-2-2-2-22-2-22222-2-200-2-2220000000022-2-2000000002i−2i−2i2i00000000−2i2i2i−2i00000000000000000000000000
χ39222-2-2-2-22-2-222−2i2i2i−2i0000222-2-2-2-2222-2-2-2-22200-2-22200000000-2-22200000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000000000000000
χ40222-2-2-2-22-2-222−2i2i2i−2i0000222-2-2-2-22-2-22222-2-200-2-2220000000022-2-200000000−2i2i2i−2i000000002i−2i−2i2i00000000000000000000000000
χ4122-222-2-2-200000000002i−2i22-222-2-2-22i−2i2i2i−2i−2i2i−2i00000000002i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000002-20000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ4222-222-2-2-200000000002i−2i22-222-2-2-22i−2i2i2i−2i−2i2i−2i00000000002i2i−2i−2i00002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000002-200000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ4322-222-2-2-200000000002i−2i22-222-2-2-2−2i2i−2i−2i2i2i−2i2i00000000002i2i−2i−2i0000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000-2200000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ4422-222-2-2-200000000002i−2i22-222-2-2-2−2i2i−2i−2i2i2i−2i2i00000000002i2i−2i−2i00002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000-220000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ4522-222-2-2-20000000000−2i2i22-222-2-2-22i−2i2i2i−2i−2i2i−2i0000000000−2i−2i2i2i0000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000-2200000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ4622-222-2-2-20000000000−2i2i22-222-2-2-22i−2i2i2i−2i−2i2i−2i0000000000−2i−2i2i2i00002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000-220000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ4722-222-2-2-20000000000−2i2i22-222-2-2-2−2i2i−2i−2i2i2i−2i2i0000000000−2i−2i2i2i0000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000002-20000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ4822-222-2-2-20000000000−2i2i22-222-2-2-2−2i2i−2i−2i2i2i−2i2i0000000000−2i−2i2i2i00002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000002-200000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ492-222-22-2-2000000002i−2i002-222-22-2-22i−2i2i−2i2i−2i−2i2i0000002i2i−2i−2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002-20000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ502-222-22-2-2000000002i−2i002-222-22-2-22i−2i2i−2i2i−2i−2i2i0000002i2i−2i−2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000002-200000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ512-222-22-2-2000000002i−2i002-222-22-2-2−2i2i−2i2i−2i2i2i−2i0000002i2i−2i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000-2200000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ522-222-22-2-2000000002i−2i002-222-22-2-2−2i2i−2i2i−2i2i2i−2i0000002i2i−2i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000-220000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ532-222-22-2-200000000−2i2i002-222-22-2-22i−2i2i−2i2i−2i−2i2i000000−2i−2i2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000-2200000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ542-222-22-2-200000000−2i2i002-222-22-2-22i−2i2i−2i2i−2i−2i2i000000−2i−2i2i2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000-220000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ552-222-22-2-200000000−2i2i002-222-22-2-2−2i2i−2i2i−2i2i2i−2i000000−2i−2i2i2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002-20000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
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χ662-2-2-222-222-2-22000000002-2-2-222-2222-222-2-2-2002-2-22000000002-2-22000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000
χ672-2-2-222-222-2-22000000002-2-2-222-22-2-22-2-2222002-2-2200000000-222-20000000000000000000000002-22-20000-22-2200000000000000
χ682-2-2-222-222-2-22000000002-2-2-222-22-2-22-2-2222002-2-2200000000-222-2000000000000000000000000-22-2200002-22-200000000000000
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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
χ744444444444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-4-4-1-1-1-111111111000000000000-1-1-1-111110000000000000000000000000000000000
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
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χ81444-4-4-4-4444-4-44i−4i4i−4i0000-1-1-11111-10000000000-1-1115−55−55−55−5000000000000−ii−iii5−i5i5−i50000000000000000000000000000000000
χ82444-4-4-4-4444-4-44i−4i4i−4i0000-1-1-11111-10000000000-1-111−55−55−55−55000000000000−ii−ii−i5i5−i5i50000000000000000000000000000000000
χ83444-4-4-4-4444-4-4−4i4i−4i4i0000-1-1-11111-10000000000-1-1115−55−55−55−5000000000000i−ii−i−i5i5−i5i50000000000000000000000000000000000
χ84444-4-4-4-4444-4-4−4i4i−4i4i0000-1-1-11111-10000000000-1-111−55−55−55−55000000000000i−ii−ii5−i5i5−i50000000000000000000000000000000000
χ85444-4-4-4-44-4-4444i−4i−4i4i0000-1-1-11111-1000000000011-1-15−55−5−55−55000000000000−iii−ii5−i5−i5i50000000000000000000000000000000000
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χ914-44-44-44-40000000000004-44-44-44-44i−4i−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-44-40000000000004-44-44-44-4−4i4i4i−4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ9388-888-8-8-800000000008i−8i-2-22-2-2222000000000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ9488-888-8-8-80000000000−8i8i-2-22-2-22220000000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ9588-8-8-888-8000000000000-2-2222-2-220000000000000000002i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000
χ9688-8-8-888-8000000000000-2-2222-2-22000000000000000000−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000
χ978-888-88-8-8000000008i−8i00-22-2-22-22200000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ988-888-88-8-800000000−8i8i00-22-2-22-222000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ998-88-88-88-8000000000000-22-22-22-22000000000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000
χ1008-88-88-88-8000000000000-22-22-22-2200000000000000−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8-8888-88-800000000-222-222-2-20000000000-22-2200000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-8-888-88-8800000000-222-222-2-200000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ1038-8-8-888-888-8-8800000000-2222-2-22-20000000000-222-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-888-88-888-800000000-2222-2-22-200000000002-2-2200000000000000000000000000000000000000000000000000000000000000

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