Finite Group Databasebeta

← Group #13034130

Character table — Group #13034130

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12222222222244444444444444510101010101010101010101010101044444444202020202020202020202020202020202020202020202020222244442222222222888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ12111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111-1-1-1-11111-1-111-1-111-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-11111-1-111-1-111-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111111-1-1-1-11111-1-111-1-111-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2011111111-1-1-1-11111-1-111-1-111-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2111111111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ2211111111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2311111111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411111111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2811111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2911111111-1-1-1-1-1-1-1-111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ3011111111-1-1-1-1-1-1-1-111-1-11111-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ3111111111-1-1-1-1-1-1-1-111-1-11111-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-111-1-11111-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222-2-2-2-222-2-2000000000000002222-2-2-22222-2-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000002i2i−2i−2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ342222-2-2-2-222-2-2000000000000002222-2-2-22222-2-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000002i2i−2i−2i000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ352222-2-2-2-222-2-2000000000000002222-2-2-22222-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000−2i−2i2i2i00000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ362222-2-2-2-222-2-2000000000000002222-2-2-22222-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000−2i−2i2i2i000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ372222-2-2-2-2-2-222000000000000002222-2-2-2-2-2-2-22222-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i−2i2i2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ382222-2-2-2-2-2-222000000000000002222-2-2-2-2-2-2-22222-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i−2i2i2i000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ392222-2-2-2-2-2-222000000000000002222-2-2-2-2-2-2-22222-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i2i−2i−2i00000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ402222-2-2-2-2-2-222000000000000002222-2-2-2-2-2-2-22222-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i2i−2i−2i000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ4122-2-222-2-22-22-20000000000000022-2-222-222-2-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i2i−2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ4222-2-222-2-22-22-20000000000000022-2-222-222-2-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i2i−2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ4322-2-222-2-22-22-20000000000000022-2-222-222-2-222-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i−2i2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ4422-2-222-2-22-22-20000000000000022-2-222-222-2-222-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i−2i2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ4522-2-222-2-2-22-220000000000000022-2-222-2-2-222-2-222-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i−2i2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ4622-2-222-2-2-22-220000000000000022-2-222-2-2-222-2-222-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i−2i2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ4722-2-222-2-2-22-220000000000000022-2-222-2-2-222-2-222-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i2i−2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ4822-2-222-2-2-22-220000000000000022-2-222-2-2-222-2-222-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i2i−2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ4922-2-2-2-2222-2-2222-2-22-20000000022-2-2-2-2222-2-2-2-222222-2-2-2-22222-2-222-2-2000000000000000022-2-22-2-222-200000000000000000000000000000000
χ5022-2-2-2-2222-2-2222-2-22-20000000022-2-2-2-2222-2-2-2-2222-2-22222-2-222-2-222-2-20000000000000000-2-222-222-2-2200000000000000000000000000000000
χ5122-2-2-2-2222-2-22-2-222-220000000022-2-2-2-2222-2-2-2-222222-2-2-2-222-2-222-2-2220000000000000000-2-2222-2-22-2200000000000000000000000000000000
χ5222-2-2-2-2222-2-22-2-222-220000000022-2-2-2-2222-2-2-2-2222-2-22222-2-2-2-222-2-222000000000000000022-2-2-222-22-200000000000000000000000000000000
χ5322-2-2-2-222-222-222-2-2-220000000022-2-2-2-22-2-22222-2-2222-2-2-2-22222-2-2-2-222000000000000000022-2-2-222-2-2200000000000000000000000000000000
χ5422-2-2-2-222-222-222-2-2-220000000022-2-2-2-22-2-22222-2-22-2-22222-2-222-2-2-2-2220000000000000000-2-2222-2-222-200000000000000000000000000000000
χ5522-2-2-2-222-222-2-2-2222-20000000022-2-2-2-22-2-22222-2-2222-2-2-2-222-2-22222-2-20000000000000000-2-222-222-22-200000000000000000000000000000000
χ5622-2-2-2-222-222-2-2-2222-20000000022-2-2-2-22-2-22222-2-22-2-22222-2-2-2-22222-2-2000000000000000022-2-22-2-22-2200000000000000000000000000000000
χ572-22-22-2-2200002-22-200002-2002-22-22-22-2-20000000022-22-22-22-22-22-20000000022-2-2000022-2-22-22-2000000002-2002-2000000000000000000000000
χ582-22-22-2-2200002-22-200002-2002-22-22-22-2-2000000002-22-22-22-222-22-20000000022-2-2000022-2-2-22-2200000000-2200-22000000000000000000000000
χ592-22-22-2-2200002-22-20000-2200-222-22-22-2-20000000022-22-22-22-22-22-200000000-2-2220000-2-2222-22-200000000-2200-22000000000000000000000000
χ602-22-22-2-2200002-22-20000-2200-222-22-22-2-2000000002-22-22-22-222-22-200000000-2-2220000-2-222-22-22000000002-2002-2000000000000000000000000
χ612-22-22-2-220000-22-2200002-200-222-22-22-2-20000000022-22-22-22-2-22-220000000022-2-20000-2-222-22-22000000002-200-22000000000000000000000000
χ622-22-22-2-220000-22-2200002-200-222-22-22-2-2000000002-22-22-22-22-22-220000000022-2-20000-2-2222-22-200000000-22002-2000000000000000000000000
χ632-22-22-2-220000-22-220000-22002-22-22-22-2-20000000022-22-22-22-2-22-2200000000-2-222000022-2-2-22-2200000000-22002-2000000000000000000000000
χ642-22-22-2-220000-22-220000-22002-22-22-22-2-2000000002-22-22-22-22-22-2200000000-2-222000022-2-22-22-2000000002-200-22000000000000000000000000
χ652-2-22-22-2200002-2-22002-2002-2002-2-22-22-20000000022-2-22-222-22-2-22000022-2-2000022-2-200002-2-220000002-2002-200000000000000000000000000
χ662-2-22-22-2200002-2-22002-2002-2002-2-22-22-2000000002-222-22-2-222-2-22000022-2-2000022-2-20000-222-2000000-2200-2200000000000000000000000000
χ672-2-22-22-2200002-2-2200-2200-22002-2-22-22-20000000022-2-22-222-22-2-220000-2-2220000-2-22200002-2-22000000-2200-2200000000000000000000000000
χ682-2-22-22-2200002-2-2200-2200-22002-2-22-22-2000000002-222-22-2-222-2-220000-2-2220000-2-2220000-222-20000002-2002-200000000000000000000000000
χ692-2-22-22-220000-222-2002-200-22002-2-22-22-20000000022-2-22-222-2-222-2000022-2-20000-2-2220000-222-20000002-200-2200000000000000000000000000
χ702-2-22-22-220000-222-2002-200-22002-2-22-22-2000000002-222-22-2-22-222-2000022-2-20000-2-22200002-2-22000000-22002-200000000000000000000000000
χ712-2-22-22-220000-222-200-22002-2002-2-22-22-20000000022-2-22-222-2-222-20000-2-222000022-2-20000-222-2000000-22002-200000000000000000000000000
χ722-2-22-22-220000-222-200-22002-2002-2-22-22-2000000002-222-22-2-22-222-20000-2-222000022-2-200002-2-220000002-200-2200000000000000000000000000
χ7344444444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ74444444444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000000000
χ75444444444444-4-4-4-4-4-44444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-4-4-4-44444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ7744444444-4-4-4-44444-4-444-4-444-4-4-1-1-1-1-1-1-111111111-100000000-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000000000
χ7844444444-4-4-4-44444-4-4-4-444-4-444-1-1-1-1-1-1-111111111-100000000-1-1-1-111111111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-44444-4-4-4-444-1-1-1-1-1-1-111111111-1000000001111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-4-44444-4-4-1-1-1-1-1-1-111111111-1000000001111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ8144-4-4-4-4444-4-4444-4-44-400000000-1-11111-1-1-11111-1-1-100000000-1-111-1-1115−55−55−55−55−55−55−55−5000000000000000000000000000000000000000000
χ8244-4-4-4-4444-4-4444-4-44-400000000-1-11111-1-1-11111-1-1-100000000-1-111-1-111−55−55−55−55−55−55−55−55000000000000000000000000000000000000000000
χ8344-4-4-4-4444-4-44-4-444-4400000000-1-11111-1-1-11111-1-1-10000000011-1-111-1-15−55−55−55−5−55−55−55−55000000000000000000000000000000000000000000
χ8444-4-4-4-4444-4-44-4-444-4400000000-1-11111-1-1-11111-1-1-10000000011-1-111-1-1−55−55−55−555−55−55−55−5000000000000000000000000000000000000000000
χ8544-4-4-4-444-444-444-4-4-4400000000-1-11111-111-1-1-1-111-100000000-1-11111-1-15−55−5−55−555−55−5−55−55000000000000000000000000000000000000000000
χ8644-4-4-4-444-444-444-4-4-4400000000-1-11111-111-1-1-1-111-100000000-1-11111-1-1−55−555−55−5−55−555−55−5000000000000000000000000000000000000000000
χ8744-4-4-4-444-444-4-4-4444-400000000-1-11111-111-1-1-1-111-10000000011-1-1-1-1115−55−5−55−55−55−555−55−5000000000000000000000000000000000000000000
χ8844-4-4-4-444-444-4-4-4444-400000000-1-11111-111-1-1-1-111-10000000011-1-1-1-111−55−555−55−55−55−5−55−55000000000000000000000000000000000000000000
χ894-44-44-4-4400004-44-400004-4004-4-11-11-1115−55−55−55−5-100000000-11-115−55−55−5−55-1-1115−5−55-1-111000000000000000000000000000000000000000000
χ904-44-44-4-4400004-44-400004-4004-4-11-11-111−55−55−55−55-100000000-11-11−55−55−555−5-1-111−555−5-1-111000000000000000000000000000000000000000000
χ914-44-44-4-4400004-44-40000-4400-44-11-11-1115−55−55−55−5-100000000-11-115−55−5−555−511-1-1−555−511-1-1000000000000000000000000000000000000000000
χ924-44-44-4-4400004-44-40000-4400-44-11-11-111−55−55−55−55-100000000-11-11−55−555−5−5511-1-15−5−5511-1-1000000000000000000000000000000000000000000
χ934-44-44-4-440000-44-4400004-400-44-11-11-1115−55−55−55−5-1000000001-11-1−55−555−5−55-1-111−555−511-1-1000000000000000000000000000000000000000000
χ944-44-44-4-440000-44-4400004-400-44-11-11-111−55−55−55−55-1000000001-11-15−55−5−555−5-1-1115−5−5511-1-1000000000000000000000000000000000000000000
χ954-44-44-4-440000-44-440000-44004-4-11-11-1115−55−55−55−5-1000000001-11-1−55−55−555−511-1-15−5−55-1-111000000000000000000000000000000000000000000
χ964-44-44-4-440000-44-440000-44004-4-11-11-111−55−55−55−55-1000000001-11-15−55−55−5−5511-1-1−555−5-1-111000000000000000000000000000000000000000000
χ974-44-4-444-40000000000000000004-44-4-44400000000-44i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444-40000000000000000004-44-4-44400000000-4−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-44-40000000000000000004-4-444-4400000000-44i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-44-40000000000000000004-4-444-4400000000-4−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-4400004-4-44004-4004-400-111-11-115−5−55−555−5-100000000-111-15−5−55-1-1115−5−55-1-1115−5−55000000000000000000000000000000000000000000
χ1024-4-44-44-4400004-4-44004-4004-400-111-11-11−555−55−5−55-100000000-111-1−555−5-1-111−555−5-1-111−555−5000000000000000000000000000000000000000000
χ1034-4-44-44-4400004-4-4400-4400-4400-111-11-115−5−55−555−5-100000000-111-15−5−5511-1-1−555−511-1-1−555−5000000000000000000000000000000000000000000
χ1044-4-44-44-4400004-4-4400-4400-4400-111-11-11−555−55−5−55-100000000-111-1−555−511-1-15−5−5511-1-15−5−55000000000000000000000000000000000000000000
χ1054-4-44-44-440000-444-4004-400-4400-111-11-115−5−55−555−5-1000000001-1-11−555−5-1-1115−5−5511-1-1−555−5000000000000000000000000000000000000000000
χ1064-4-44-44-440000-444-4004-400-4400-111-11-11−555−55−5−55-1000000001-1-115−5−55-1-111−555−511-1-15−5−55000000000000000000000000000000000000000000
χ1074-4-44-44-440000-444-400-44004-400-111-11-115−5−55−555−5-1000000001-1-11−555−511-1-1−555−5-1-1115−5−55000000000000000000000000000000000000000000
χ1084-4-44-44-440000-444-400-44004-400-111-11-11−555−55−5−55-1000000001-1-115−5−5511-1-15−5−55-1-111−555−5000000000000000000000000000000000000000000
χ1098888-8-8-8-888-8-800000000000000-2-2-2-2222-2-2-2-22222200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108888-8-8-8-8-8-88800000000000000-2-2-2-22222222-2-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-888-8-88-88-800000000000000-2-222-2-22-2-222-2-222200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-88-8800000000000000-2-222-2-2222-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-8000000000000000000-22-222-2-225−2525−25−2525−2525200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-888-8000000000000000000-22-222-2-2−2525−252525−2525−25200000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888-88-8000000000000000000-222-2-22-225−25−252525−25−2525200000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-88-8000000000000000000-222-2-22-2−252525−25−252525−25200000000000000000000000000000000000000000000000000000000000000000000000000

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