Finite Group Databasebeta

← Group #13041577

Character table — Group #13041577

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444444444444510101010101010444444444420202020202020202020202044448888888820202020202020202244444488888888888888888888448888
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−i11111111-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1i−ii−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−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1−ii−ii
χ511111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ711111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii11−ii−ii
χ811111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i11i−ii−i
χ9111111111111-1-111-1-1111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1
χ10111111111111-1-111-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ11111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iiiii−i−iii−i−i−i−i11−ii−ii
χ12111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−i−i−iii−i−iiiii11i−ii−i
χ13111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ14111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111111111-1-1-1-1
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-111-1-11111111111−i−iiiii−i−i−i−i−i−i−i−iiiiiii-1-1i−ii−i
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-111-1-11111111111ii−i−i−i−iiiiiiiii−i−i−i−i−i−i-1-1−ii−ii
χ1711111111-1-1-1-11111-1-1-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-11-1-111
χ1811111111-1-1-1-11111-1-1-1-11111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-111-1111-1-1
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-111-1-111-1-111ii−i−i−i−i−i−iii−i−iiiii−i−iii1-1−iii−i
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-111-1-111-1-111−i−iiiiiii−i−iii−i−i−i−iii−i−i1-1i−i−ii
χ2111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-1
χ2211111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-11-1-1-111
χ2311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-111ii−i−i−i−i−i−i−i−iiiiiiiii−i−i-11i−i−ii
χ2411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-111−i−iiiiiiiii−i−i−i−i−i−i−i−iii-11−iii−i
χ2511111111-1-1-1-1-1-11111-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1-1
χ2611111111-1-1-1-1-1-11111-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1-1-111
χ2711111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-11111-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii-11i−i−ii
χ2811111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-11111-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−i-11−iii−i
χ2911111111-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-11-1-111
χ3011111111-1-1-1-1-1-1-1-111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-111-1-111-1-1-1111-1-1
χ3111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-1-1-1111111-1-111-1-1−i−iii−i−iii−i−iiiii−i−iii−i−i1-1−iii−i
χ3211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-1-1-1111111-1-111-1-1ii−i−iii−i−iii−i−i−i−iii−i−iii1-1i−i−ii
χ3322-22-22-2-222-2-20000000022-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000000022-2-22i2i−2i−2i−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+2ζ3900000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ3422-22-22-2-222-2-20000000022-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000000022-2-22i2i−2i−2i2ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ3522-22-22-2-222-2-20000000022-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000000022-2-2−2i−2i2i2i−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+2ζ3700000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ3622-22-22-2-222-2-20000000022-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000000022-2-2−2i−2i2i2i2ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ3722-22-22-2-2-2-2220000000022-2-2-2-2222i2i−2i−2i2i2i−2i−2i0000000000-2-222−2i−2i2i2i−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+2ζ39000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ3822-22-22-2-2-2-2220000000022-2-2-2-2222i2i−2i−2i2i2i−2i−2i0000000000-2-222−2i−2i2i2i2ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ3922-22-22-2-2-2-2220000000022-2-2-2-222−2i−2i2i2i−2i−2i2i2i0000000000-2-2222i2i−2i−2i−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+2ζ37000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ4022-22-22-2-2-2-2220000000022-2-2-2-222−2i−2i2i2i−2i−2i2i2i0000000000-2-2222i2i−2i−2i2ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ412-222-2-2-222i−2i2i−2i2-2002i−2i002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000002i−2i2i−2i2-22-2000000002-2002i−2i0000002i−2i2-200000000000000000000000000
χ422-222-2-2-222i−2i2i−2i2-2002i−2i002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000002i−2i2i−2i-22-22000000002-2002i−2i000000−2i2i-2200000000000000000000000000
χ432-222-2-2-222i−2i2i−2i-2200−2i2i002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000002i−2i2i−2i2-22-200000000-2200−2i2i000000−2i2i-2200000000000000000000000000
χ442-222-2-2-222i−2i2i−2i-2200−2i2i002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000002i−2i2i−2i-22-2200000000-2200−2i2i0000002i−2i2-200000000000000000000000000
χ452-222-2-2-22−2i2i−2i2i2-200−2i2i002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000−2i2i−2i2i-22-22000000002-200−2i2i0000002i−2i-2200000000000000000000000000
χ462-222-2-2-22−2i2i−2i2i2-200−2i2i002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000−2i2i−2i2i2-22-2000000002-200−2i2i000000−2i2i2-200000000000000000000000000
χ472-222-2-2-22−2i2i−2i2i-22002i−2i002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000−2i2i−2i2i-22-2200000000-22002i−2i000000−2i2i2-200000000000000000000000000
χ482-222-2-2-22−2i2i−2i2i-22002i−2i002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000−2i2i−2i2i2-22-200000000-22002i−2i0000002i−2i-2200000000000000000000000000
χ492-22-2-222-20000002i−2i00002-222-2-2-222i2i−2i−2i−2i−2i2i2i002i2i−2i−2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002-200000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ502-22-2-222-20000002i−2i00002-222-2-2-222i2i−2i−2i−2i−2i2i2i002i2i−2i−2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000002-2000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ512-22-2-222-20000002i−2i00002-222-2-2-22−2i−2i2i2i2i2i−2i−2i002i2i−2i−2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000-22000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ522-22-2-222-20000002i−2i00002-222-2-2-22−2i−2i2i2i2i2i−2i−2i002i2i−2i−2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000-2200000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ532-22-2-222-2000000−2i2i00002-222-2-2-222i2i−2i−2i−2i−2i2i2i00−2i−2i2i2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000-22000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ542-22-2-222-2000000−2i2i00002-222-2-2-222i2i−2i−2i−2i−2i2i2i00−2i−2i2i2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000-2200000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ552-22-2-222-2000000−2i2i00002-222-2-2-22−2i−2i2i2i2i2i−2i−2i00−2i−2i2i2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002-200000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
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χ7944444444-4-4-4-4-4-44444-4-4-1-1-1-1-1-1-1-1000000004-4-1-1-1-11111111100000000000011-1-1-1-1110000000000000000000000000000000000
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χ8444-4-4-4-44400000000000044-444-4-4-4−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ854-444-4-4-444i−4i4i−4i4-4004i−4i00-11-11-11-110000000000i5−i5i5−i55−55−5−ii−ii000000000000-115−5−iii5−i50000000000000000000000000000000000
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χ904-444-4-4-44−4i4i−4i4i4-400−4i4i00-11-11-11-110000000000−i5i5−i5i55−55−5i−ii−i000000000000-115−5i−i−i5i50000000000000000000000000000000000
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χ1008-88-8-888-8000000−8i8i0000-22-2-2222-200000000002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-88-88i−8i−8i8i00000000-222-22-2-22000000000000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000
χ1028-8-888-88-8−8i8i8i−8i00000000-222-22-2-220000000000000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000
χ1038-8-8-888-8800000000008-8-2222-2-22-200000000000000-2-2220000000000000000000000000000000000000000000000000000000000
χ1048-8-8-888-880000000000-88-2222-2-22-20000000000000022-2-20000000000000000000000000000000000000000000000000000000000

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