Finite Group Databasebeta

← Group #13016985

Character table — Group #13016985

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12224444444444445888810101020202020222244448820202020404040404040404044448888888820202020404040404444888888888888888888888888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
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−iii−i−i-1-1
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−i−iii-1-1
χ511111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ711111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−iii11
χ811111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii−i−i11
χ9111111111111-1-1-1-111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii11
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i11
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111
χ15111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111111111ii−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-1
χ16111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111111111−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−iii-1-1
χ171111-1-1-1-111-1-111-1-11ii−i−i111-1-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-111ii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−ii−iii−i−ii−iii−i−i11-1-111-1-11-11-1i−i
χ181111-1-1-1-111-1-111-1-11ii−i−i111-1-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-111−i−iii−i−iii11-1-1ii−i−i11-1-1ii−i−i−ii−i−iii−ii−i−iii-1-111-1-111-11-11i−i
χ191111-1-1-1-111-1-111-1-11ii−i−i111-1-1-1-1-1-1-1-11111i−i11-1-1iiii−i−i−i−i11-1-111-1-1-1-11111-1-1ii−i−i-1-111−i−iii1-111-1-1-11-1-111−i−iiiii−i−i−iii−i−ii
χ201111-1-1-1-111-1-111-1-11ii−i−i111-1-1-1-1-1-1-1-11111i−i11-1-1iiii−i−i−i−i11-1-1-1-11111-1-111-1-1ii−i−i-1-111−i−iii-11-1-1111-111-1-1ii−i−i−i−iiii−i−ii−ii
χ211111-1-1-1-111-1-111-1-11−i−iii111-1-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i11-1-1−i−iii11-1-1−i−iiii−iii−i−ii−iii−i−i-1-111-1-111-11-11−ii
χ221111-1-1-1-111-1-111-1-11−i−iii111-1-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-111−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii−ii−i−iii−ii−i−iii11-1-111-1-11-11-1−ii
χ231111-1-1-1-111-1-111-1-11−i−iii111-1-1-1-1-1-1-1-11111−ii11-1-1−i−i−i−iiiii11-1-111-1-1-1-11111-1-1−i−iii-1-111ii−i−i1-111-1-1-11-1-111ii−i−i−i−iiii−i−iii−i
χ241111-1-1-1-111-1-111-1-11−i−iii111-1-1-1-1-1-1-1-11111−ii11-1-1−i−i−i−iiiii11-1-1-1-11111-1-111-1-1−i−iii-1-111ii−i−i-11-1-1111-111-1-1−i−iiiii−i−i−iii−ii−i
χ251111-1-1-1-111-1-1-1-1111ii−i−i111-1-1-1-11111-1-1-1-1−ii11-1-1iiii−i−i−i−i-1-111ii−i−iii−i−i-1-111−i−iii-1-111ii−i−ii−i−i−iiii−i−i−iii11-1-111-1-1-11-11−ii
χ261111-1-1-1-111-1-1-1-1111ii−i−i111-1-1-1-11111-1-1-1-1−ii11-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−iii-1-111ii−i−i−iiii−i−i−iiii−i−i-1-111-1-1111-11-1−ii
χ271111-1-1-1-111-1-1-1-1111ii−i−i111-1-1-1-1-1-1-1-11111−ii11-1-1iiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iii11-1-1−i−iii1-1-1-111-1111-1-1−i−iiiii−i−ii−i−iii−i
χ281111-1-1-1-111-1-1-1-1111ii−i−i111-1-1-1-1-1-1-1-11111−ii11-1-1iiii−i−i−i−i11-1-1-1-11111-1-1-1-111−i−iii11-1-1−i−iii-1111-1-11-1-1-111ii−i−i−i−iii−iii−ii−i
χ291111-1-1-1-111-1-1-1-1111−i−iii111-1-1-1-11111-1-1-1-1i−i11-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111ii−i−i-1-111−i−iiii−i−i−iiii−i−i−iii-1-111-1-1111-11-1i−i
χ301111-1-1-1-111-1-1-1-1111−i−iii111-1-1-1-11111-1-1-1-1i−i11-1-1−i−i−i−iiiii-1-111−i−iii−i−iii-1-111ii−i−i-1-111−i−iii−iiii−i−i−iiii−i−i11-1-111-1-1-11-11i−i
χ311111-1-1-1-111-1-1-1-1111−i−iii111-1-1-1-1-1-1-1-11111i−i11-1-1−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−i11-1-1ii−i−i1-1-1-111-1111-1-1ii−i−i−i−iii−iii−i−ii
χ321111-1-1-1-111-1-1-1-1111−i−iii111-1-1-1-1-1-1-1-11111i−i11-1-1−i−i−i−iiiii11-1-1-1-11111-1-1-1-111ii−i−i11-1-1ii−i−i-1111-1-11-1-1-111−i−iiiii−i−ii−i−ii−ii
χ3322222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-2222222220000000000000000-2-20000-2-2000000000000000000
χ3422222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022000022000000000000000000
χ3522222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-20000000022222i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i00002i2i000000000000000000
χ3622222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-2000000002222−2i−2i−2i−2i2i2i2i2i00000000000000002i2i0000−2i−2i000000000000000000
χ372222-2-2-2-2-2-222000020000222-2-2-2-22222-2-2-2-200-2-2220000000022-2-22i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i0000−2i2i000000000000000000
χ382222-2-2-2-2-2-222000020000222-2-2-2-22222-2-2-2-200-2-2220000000022-2-2−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i00002i−2i000000000000000000
χ392222-2-2-2-2-2-222000020000222-2-2-2-2-2-2-2-2222200-2-22200000000-2-22222-2-2-2-2220000000000000000-2200002-2000000000000000000
χ402222-2-2-2-2-2-222000020000222-2-2-2-2-2-2-2-2222200-2-22200000000-2-222-2-22222-2-200000000000000002-20000-22000000000000000000
χ412-22-22i−2i2i−2i0000000021+i−1−i1−i−1+i-22-22i−2i2i−2i2-22-22i−2i2i−2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000001+i−1−i1−i−1+i0000000000002−2i2−i22−2i2−i2000000
χ422-22-22i−2i2i−2i0000000021+i−1−i1−i−1+i-22-22i−2i2i−2i2-22-22i−2i2i−2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000001+i−1−i1−i−1+i000000000000−22−i2i2−22−i2i2000000
χ432-22-22i−2i2i−2i0000000021+i−1−i1−i−1+i-22-22i−2i2i−2i-22-22−2i2i−2i2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−1−i1+i−1+i1−i000000000000i2−i2−22−i2i22−2000000
χ442-22-22i−2i2i−2i0000000021+i−1−i1−i−1+i-22-22i−2i2i−2i-22-22−2i2i−2i2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000−1−i1+i−1+i1−i000000000000−i2i22−2i2−i2−22000000
χ452-22-22i−2i2i−2i000000002−1−i1+i−1+i1−i-22-22i−2i2i−2i2-22-22i−2i2i−2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−1−i1+i−1+i1−i000000000000−22−i2i2−22−i2i2000000
χ462-22-22i−2i2i−2i000000002−1−i1+i−1+i1−i-22-22i−2i2i−2i2-22-22i−2i2i−2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000−1−i1+i−1+i1−i0000000000002−2i2−i22−2i2−i2000000
χ472-22-22i−2i2i−2i000000002−1−i1+i−1+i1−i-22-22i−2i2i−2i-22-22−2i2i−2i2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000001+i−1−i1−i−1+i000000000000−i2i22−2i2−i2−22000000
χ482-22-22i−2i2i−2i000000002−1−i1+i−1+i1−i-22-22i−2i2i−2i-22-22−2i2i−2i2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000001+i−1−i1−i−1+i000000000000i2−i2−22−i2i22−2000000
χ492-22-2−2i2i−2i2i0000000021−i−1+i1+i−1−i-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000001−i−1+i1+i−1−i000000000000−22i2−i2−22i2−i2000000
χ502-22-2−2i2i−2i2i0000000021−i−1+i1+i−1−i-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000001−i−1+i1+i−1−i0000000000002−2−i2i22−2−i2i2000000
χ512-22-2−2i2i−2i2i0000000021−i−1+i1+i−1−i-22-2−2i2i−2i2i-22-222i−2i2i−2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−1+i1−i−1−i1+i000000000000i2−i22−2−i2i2−22000000
χ522-22-2−2i2i−2i2i0000000021−i−1+i1+i−1−i-22-2−2i2i−2i2i-22-222i−2i2i−2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000−1+i1−i−1−i1+i000000000000−i2i2−22i2−i22−2000000
χ532-22-2−2i2i−2i2i000000002−1+i1−i−1−i1+i-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−1+i1−i−1−i1+i0000000000002−2−i2i22−2−i2i2000000
χ542-22-2−2i2i−2i2i000000002−1+i1−i−1−i1+i-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000−1+i1−i−1−i1+i000000000000−22i2−i2−22i2−i2000000
χ552-22-2−2i2i−2i2i000000002−1+i1−i−1−i1+i-22-2−2i2i−2i2i-22-222i−2i2i−2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000001−i−1+i1+i−1−i000000000000−i2i2−22i2−i22−2000000
χ562-22-2−2i2i−2i2i000000002−1+i1−i−1−i1+i-22-2−2i2i−2i2i-22-222i−2i2i−2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000001−i−1+i1+i−1−i000000000000i2−i22−2−i2i2−22000000
χ572-2-222i−2i−2i2i2-22i−2i000020000-2-222i−2i−2i2i2-2-22−2i2i2i−2i002-22i−2i000000002i−2i2-200000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000
χ582-2-222i−2i−2i2i2-22i−2i000020000-2-222i−2i−2i2i2-2-22−2i2i2i−2i002-22i−2i000000002i−2i2-2000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000
χ592-2-222i−2i−2i2i2-22i−2i000020000-2-222i−2i−2i2i-222-22i−2i−2i2i002-22i−2i00000000−2i2i-2200000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000
χ602-2-222i−2i−2i2i2-22i−2i000020000-2-222i−2i−2i2i-222-22i−2i−2i2i002-22i−2i00000000−2i2i-22000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000
χ612-2-222i−2i−2i2i-22−2i2i2i−2i2-220000-2-222i−2i−2i2i2-2-22−2i2i2i−2i00-22−2i2i00000000−2i2i-22000000002i−2i2-200002i−2i2-2000000000000000000000000000000
χ622-2-222i−2i−2i2i-22−2i2i2i−2i2-220000-2-222i−2i−2i2i-222-22i−2i−2i2i00-22−2i2i000000002i−2i2-2000000002i−2i2-20000−2i2i-22000000000000000000000000000000
χ632-2-222i−2i−2i2i-22−2i2i−2i2i-2220000-2-222i−2i−2i2i2-2-22−2i2i2i−2i00-22−2i2i00000000−2i2i-2200000000−2i2i-220000−2i2i-22000000000000000000000000000000
χ642-2-222i−2i−2i2i-22−2i2i−2i2i-2220000-2-222i−2i−2i2i-222-22i−2i−2i2i00-22−2i2i000000002i−2i2-200000000−2i2i-2200002i−2i2-2000000000000000000000000000000
χ652-2-22−2i2i2i−2i2-2−2i2i000020000-2-22−2i2i2i−2i2-2-222i−2i−2i2i002-2−2i2i00000000−2i2i2-200000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000
χ662-2-22−2i2i2i−2i2-2−2i2i000020000-2-22−2i2i2i−2i2-2-222i−2i−2i2i002-2−2i2i00000000−2i2i2-2000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000
χ672-2-22−2i2i2i−2i2-2−2i2i000020000-2-22−2i2i2i−2i-222-2−2i2i2i−2i002-2−2i2i000000002i−2i-2200000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000
χ682-2-22−2i2i2i−2i2-2−2i2i000020000-2-22−2i2i2i−2i-222-2−2i2i2i−2i002-2−2i2i000000002i−2i-22000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000
χ692-2-22−2i2i2i−2i-222i−2i2i−2i-2220000-2-22−2i2i2i−2i2-2-222i−2i−2i2i00-222i−2i000000002i−2i-22000000002i−2i-2200002i−2i-22000000000000000000000000000000
χ702-2-22−2i2i2i−2i-222i−2i2i−2i-2220000-2-22−2i2i2i−2i-222-2−2i2i2i−2i00-222i−2i00000000−2i2i2-2000000002i−2i-220000−2i2i2-2000000000000000000000000000000
χ712-2-22−2i2i2i−2i-222i−2i−2i2i2-220000-2-22−2i2i2i−2i2-2-222i−2i−2i2i00-222i−2i000000002i−2i-2200000000−2i2i2-20000−2i2i2-2000000000000000000000000000000
χ722-2-22−2i2i2i−2i-222i−2i−2i2i2-220000-2-22−2i2i2i−2i-222-2−2i2i2i−2i00-222i−2i00000000−2i2i2-200000000−2i2i2-200002i−2i-22000000000000000000000000000000
χ734444444444444444-14444-1-1-1-1-1-1-10000000044-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ744444444444444444-1-4-4-4-4-1-1-1-1-1-1-100000000-4-4-1-1-1-111111111000000000000-1-1-1-111110000000000000000000000000000000000
χ75444444444444-4-4-4-4-14444-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000000000000000
χ76444444444444-4-4-4-4-1-4-4-4-4-1-1-1-1-1-1-10000000044-1-1-1-1111111110000000000001111-1-1-1-10000000000000000000000000000000000
χ774444-4-4-4-444-4-444-4-4-14i4i−4i−4i-1-1-11111000000004i−4i-1-111−i−i−i−iiiii000000000000-1-111−i−iii0000000000000000000000000000000000
χ784444-4-4-4-444-4-444-4-4-1−4i−4i4i4i-1-1-1111100000000−4i4i-1-111iiii−i−i−i−i000000000000-1-111ii−i−i0000000000000000000000000000000000
χ794444-4-4-4-444-4-4-4-444-14i4i−4i−4i-1-1-1111100000000−4i4i-1-111−i−i−i−iiiii00000000000011-1-1ii−i−i0000000000000000000000000000000000
χ804444-4-4-4-444-4-4-4-444-1−4i−4i4i4i-1-1-11111000000004i−4i-1-111iiii−i−i−i−i00000000000011-1-1−i−iii0000000000000000000000000000000000
χ8144-4-444-4-400000000400004-4-444-4-444-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-400000000400004-4-444-4-4-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44400000000400004-4-4-4-44444-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-4-44400000000400004-4-4-4-444-4-444-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ854-4-444i−4i−4i4i-44−4i4i4i−4i4-4-1000011-1−iii−i00000000001-1i−iζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39000000000000−ii-11−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ370000000000000000000000000000000000
χ864-4-444i−4i−4i4i-44−4i4i4i−4i4-4-1000011-1−iii−i00000000001-1i−i−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39000000000000−ii-11ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ370000000000000000000000000000000000
χ874-4-444i−4i−4i4i-44−4i4i−4i4i-44-1000011-1−iii−i00000000001-1i−iζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39000000000000i−i1-1ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ370000000000000000000000000000000000
χ884-4-444i−4i−4i4i-44−4i4i−4i4i-44-1000011-1−iii−i00000000001-1i−i−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39000000000000i−i1-1−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ370000000000000000000000000000000000
χ894-4-44−4i4i4i−4i-444i−4i4i−4i-44-1000011-1i−i−ii00000000001-1−ii−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37000000000000−ii1-1−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ390000000000000000000000000000000000
χ904-4-44−4i4i4i−4i-444i−4i4i−4i-44-1000011-1i−i−ii00000000001-1−iiζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37000000000000−ii1-1ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ390000000000000000000000000000000000
χ914-4-44−4i4i4i−4i-444i−4i−4i4i4-4-1000011-1i−i−ii00000000001-1−ii−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37000000000000i−i-11ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ390000000000000000000000000000000000
χ924-4-44−4i4i4i−4i-444i−4i−4i4i4-4-1000011-1i−i−ii00000000001-1−iiζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37000000000000i−i-11−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ390000000000000000000000000000000000
χ9388888888-8-8-8-80000-20000-2-2-2-2-2-2-20000000000222200000000000000000000000000000000000000000000000000000000000000
χ948888-8-8-8-8-8-8880000-20000-2-2-22222000000000022-2-200000000000000000000000000000000000000000000000000000000000000
χ9588-8-888-8-800000000-20000-222-2-2220000000000000010−10−101010−10−1010000000000000000000000000000000000000000000000000000000
χ9688-8-888-8-800000000-20000-222-2-22200000000000000−101010−10−101010−10000000000000000000000000000000000000000000000000000000
χ9788-8-8-8-88800000000-20000-22222-2-200000000000000i10−i10−i10i10−i10i10i10−i10000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-88800000000-20000-22222-2-200000000000000−i10i10i10−i10i10−i10−i10i10000000000000000000000000000000000000000000000000000000
χ998-88-88i−8i8i−8i00000000-24+4i−4−4i4−4i−4+4i2-22−2i2i−2i2i00000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000000000000000000000000000000000
χ1008-88-88i−8i8i−8i00000000-2−4−4i4+4i−4+4i4−4i2-22−2i2i−2i2i000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000000000000000000000000000000000
χ1018-88-8−8i8i−8i8i00000000-24−4i−4+4i4+4i−4−4i2-222i−2i2i−2i00000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000000000000000000000000000000000
χ1028-88-8−8i8i−8i8i00000000-2−4+4i4−4i−4−4i4+4i2-222i−2i2i−2i000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000000000000000000000000000000000
χ1038-8-888i−8i−8i8i8-88i−8i0000-2000022-2−2i2i2i−2i0000000000-22−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1048-8-88−8i8i8i−8i8-8−8i8i0000-2000022-22i−2i−2i2i0000000000-222i−2i00000000000000000000000000000000000000000000000000000000000000

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