Finite Group Databasebeta

← Group #13040248

Character table — Group #13040248

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222224444444444444444444444444455555555888888888888888888888888101010101010101020202020202020202020202020202020202020202020202020204040404040404040
order12222222222244442244444444510101010101010202020202020202044444444101010101010101020202020202020202020202020202020444444444444444444888888888888888888888888
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−iii−i−iii−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−iii−i−iii
χ51111111111111111-1-1-1-1-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii
χ81111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i
χ9111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ10111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-11-11
χ11111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−ii
χ12111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i
χ13111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11
χ14111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-11-11-11-1
χ15111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i
χ16111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii
χ1711111111-1-1-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-1
χ1811111111-1-1-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111
χ1911111111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii
χ2011111111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ2111111111-1-1-1-11111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111
χ2211111111-1-1-1-11111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1
χ2311111111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i
χ2411111111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii
χ2511111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111-11-1-11-11
χ2611111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-11-111-11-1
χ2711111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2811111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2911111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-111-11-1
χ3011111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-11-11-1-11-11
χ3111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-111-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222-2-2-2-222-2-222-2-20000002-2002-2-2-2-22222222-2-2-2-22i2i−2i−2i2i−2i2i−2i22-2-200000000000022-2-200002i2i−2i−2i2i2i−2i−2i00002i−2i0000000000000000000000000000
χ342222-2-2-2-222-2-222-2-20000002-2002-2-2-2-22222222-2-2-2-2−2i−2i2i2i−2i2i−2i2i22-2-200000000000022-2-20000−2i−2i2i2i−2i−2i2i2i0000−2i2i0000000000000000000000000000
χ352222-2-2-2-222-2-2-2-222000000-22002-2-2-2-2222-2-2-2-222222i2i−2i−2i2i−2i2i−2i22-2-2000000000000-2-22200002i2i−2i−2i−2i−2i2i2i0000−2i2i0000000000000000000000000000
χ362222-2-2-2-222-2-2-2-222000000-22002-2-2-2-2222-2-2-2-22222−2i−2i2i2i−2i2i−2i2i22-2-2000000000000-2-2220000−2i−2i2i2i2i2i−2i−2i00002i−2i0000000000000000000000000000
χ372222-2-2-2-2-2-22222-2-2000000-22002-2-2-2-22222222-2-2-2-22i2i−2i−2i2i−2i2i−2i-2-222000000000000-2-2220000−2i−2i2i2i2i2i−2i−2i0000−2i2i0000000000000000000000000000
χ382222-2-2-2-2-2-22222-2-2000000-22002-2-2-2-22222222-2-2-2-2−2i−2i2i2i−2i2i−2i2i-2-222000000000000-2-22200002i2i−2i−2i−2i−2i2i2i00002i−2i0000000000000000000000000000
χ392222-2-2-2-2-2-222-2-2220000002-2002-2-2-2-2222-2-2-2-222222i2i−2i−2i2i−2i2i−2i-2-22200000000000022-2-20000−2i−2i2i2i−2i−2i2i2i00002i−2i0000000000000000000000000000
χ402222-2-2-2-2-2-222-2-2220000002-2002-2-2-2-2222-2-2-2-22222−2i−2i2i2i−2i2i−2i2i-2-22200000000000022-2-200002i2i−2i−2i2i2i−2i−2i0000−2i2i0000000000000000000000000000
χ4122-2-22-22-22-22-2000000002i−2i002i−2i222-2-22-2-2000000002i2i−2i−2i−2i2i−2i2i2-22-2000000002i2i−2i−2i00002i2i−2i−2i2i−2i2i−2i0000002-200002-2000000000000000000000000
χ4222-2-22-22-22-22-2000000002i−2i002i−2i222-2-22-2-200000000−2i−2i2i2i2i−2i2i−2i2-22-2000000002i2i−2i−2i00002i2i−2i−2i−2i2i−2i2i000000-220000-22000000000000000000000000
χ4322-2-22-22-22-22-200000000−2i2i00−2i2i222-2-22-2-2000000002i2i−2i−2i−2i2i−2i2i2-22-200000000−2i−2i2i2i0000−2i−2i2i2i2i−2i2i−2i000000-220000-22000000000000000000000000
χ4422-2-22-22-22-22-200000000−2i2i00−2i2i222-2-22-2-200000000−2i−2i2i2i2i−2i2i−2i2-22-200000000−2i−2i2i2i0000−2i−2i2i2i−2i2i−2i2i0000002-200002-2000000000000000000000000
χ4522-2-22-22-2-22-22000000002i−2i00−2i2i222-2-22-2-2000000002i2i−2i−2i−2i2i−2i2i-22-22000000002i2i−2i−2i0000−2i−2i2i2i−2i2i−2i2i0000002-20000-22000000000000000000000000
χ4622-2-22-22-2-22-22000000002i−2i00−2i2i222-2-22-2-200000000−2i−2i2i2i2i−2i2i−2i-22-22000000002i2i−2i−2i0000−2i−2i2i2i2i−2i2i−2i000000-2200002-2000000000000000000000000
χ4722-2-22-22-2-22-2200000000−2i2i002i−2i222-2-22-2-2000000002i2i−2i−2i−2i2i−2i2i-22-2200000000−2i−2i2i2i00002i2i−2i−2i−2i2i−2i2i000000-2200002-2000000000000000000000000
χ4822-2-22-22-2-22-2200000000−2i2i002i−2i222-2-22-2-200000000−2i−2i2i2i2i−2i2i−2i-22-2200000000−2i−2i2i2i00002i2i−2i−2i2i−2i2i−2i0000002-20000-22000000000000000000000000
χ4922-2-2-22-222-2-2200002-22-20000002-2-2222-2-2000000002222-2-2-2-22-2-2222-2-222-2-20000000000002-2-2200002-200002-200000000000000000000000000
χ5022-2-2-22-222-2-2200002-22-20000002-2-2222-2-200000000-2-2-2-222222-2-2222-2-222-2-2000000000000-222-20000-220000-2200000000000000000000000000
χ5122-2-2-22-222-2-220000-22-220000002-2-2222-2-2000000002222-2-2-2-22-2-22-2-222-2-2220000000000002-2-220000-220000-2200000000000000000000000000
χ5222-2-2-22-222-2-220000-22-220000002-2-2222-2-200000000-2-2-2-222222-2-22-2-222-2-222000000000000-222-200002-200002-200000000000000000000000000
χ5322-2-2-22-22-222-200002-2-220000002-2-2222-2-2000000002222-2-2-2-2-222-222-2-2-2-222000000000000-222-20000-2200002-200000000000000000000000000
χ5422-2-2-22-22-222-200002-2-220000002-2-2222-2-200000000-2-2-2-22222-222-222-2-2-2-2220000000000002-2-2200002-20000-2200000000000000000000000000
χ5522-2-2-22-22-222-20000-222-20000002-2-2222-2-2000000002222-2-2-2-2-222-2-2-22222-2-2000000000000-222-200002-20000-2200000000000000000000000000
χ5622-2-2-22-22-222-20000-222-20000002-2-2222-2-200000000-2-2-2-22222-222-2-2-22222-2-20000000000002-2-220000-2200002-200000000000000000000000000
χ572-2-2222-2-200002-22-2000000000022-22-2-2-2222-2-222-2-22i−2i2i−2i2i−2i−2i2i00000000000000000000000000002i−2i2i−2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ582-2-2222-2-200002-22-2000000000022-22-2-2-2222-2-222-2-22i−2i2i−2i2i−2i−2i2i00000000000000000000000000002i−2i2i−2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ592-2-2222-2-200002-22-2000000000022-22-2-2-2222-2-222-2-2−2i2i−2i2i−2i2i2i−2i0000000000000000000000000000−2i2i−2i2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ602-2-2222-2-200002-22-2000000000022-22-2-2-2222-2-222-2-2−2i2i−2i2i−2i2i2i−2i0000000000000000000000000000−2i2i−2i2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ612-2-2222-2-20000-22-22000000000022-22-2-2-22-2-222-2-2222i−2i2i−2i2i−2i−2i2i0000000000000000000000000000−2i2i−2i2i0000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ622-2-2222-2-20000-22-22000000000022-22-2-2-22-2-222-2-2222i−2i2i−2i2i−2i−2i2i0000000000000000000000000000−2i2i−2i2i00000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ632-2-2222-2-20000-22-22000000000022-22-2-2-22-2-222-2-222−2i2i−2i2i−2i2i2i−2i00000000000000000000000000002i−2i2i−2i0000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ642-2-2222-2-20000-22-22000000000022-22-2-2-22-2-222-2-222−2i2i−2i2i−2i2i2i−2i00000000000000000000000000002i−2i2i−2i00000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ652-2-22-2-22200002-2-2200000000002-22-22-2-2222-2-2-2-2222-2-2222-2-200000000000000000000000000002-2-220000000000002i−2i002i−2i002i−2i002i−2i00000000
χ662-2-22-2-22200002-2-2200000000002-22-22-2-2222-2-2-2-2222-2-2222-2-200000000000000000000000000002-2-22000000000000−2i2i00−2i2i00−2i2i00−2i2i00000000
χ672-2-22-2-22200002-2-2200000000002-22-22-2-2222-2-2-2-222-222-2-2-2220000000000000000000000000000-222-20000000000002-2002-200-2200-2200000000
χ682-2-22-2-22200002-2-2200000000002-22-22-2-2222-2-2-2-222-222-2-2-2220000000000000000000000000000-222-2000000000000-2200-22002-2002-200000000
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χ722-2-22-2-2220000-222-200000000002-22-22-2-22-2-22222-2-2-222-2-2-22200000000000000000000000000002-2-22000000000000-22002-2002-200-2200000000
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
χ744444444444444444-4-4-4-4-4-444-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1111111111111-1-1-1-11111000000000000000000000000000000000000000000
χ75444444444444-4-4-4-44444-4-4-4-4-4-4-1-1-1-1-1-1-1-11111111100000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000000000000000
χ76444444444444-4-4-4-4-4-4-4-444-4-444-1-1-1-1-1-1-1-11111111100000000-1-1-1-111111111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ7744444444-4-4-4-4444444-4-4-4-4-4-444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1111111111111-1-1-1-1000000000000000000000000000000000000000000
χ7844444444-4-4-4-44444-4-44444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-4-44444-4-4-1-1-1-1-1-1-1-111111111000000001111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-4-4-444-4-44444-1-1-1-1-1-1-1-1111111110000000011111111-1-1-1-11111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ814444-4-4-4-444-4-444-4-40000004-400-11111-1-1-1-1-1-1-1111100000000-1-1115−55−55−55−55−55−5-1-1115−55−5000000000000000000000000000000000000000000
χ824444-4-4-4-444-4-444-4-40000004-400-11111-1-1-1-1-1-1-1111100000000-1-111−55−55−55−55−55−55-1-111−55−55000000000000000000000000000000000000000000
χ834444-4-4-4-444-4-4-4-444000000-4400-11111-1-1-11111-1-1-1-100000000-1-1115−55−55−55−5−55−5511-1-1−55−55000000000000000000000000000000000000000000
χ844444-4-4-4-444-4-4-4-444000000-4400-11111-1-1-11111-1-1-1-100000000-1-111−55−55−55−555−55−511-1-15−55−5000000000000000000000000000000000000000000
χ854444-4-4-4-4-4-44444-4-4000000-4400-11111-1-1-1-1-1-1-111110000000011-1-15−55−5−55−55−55−5511-1-15−55−5000000000000000000000000000000000000000000
χ864444-4-4-4-4-4-44444-4-4000000-4400-11111-1-1-1-1-1-1-111110000000011-1-1−55−555−55−55−55−511-1-1−55−55000000000000000000000000000000000000000000
χ874444-4-4-4-4-4-444-4-4440000004-400-11111-1-1-11111-1-1-1-10000000011-1-15−55−5−55−555−55−5-1-111−55−55000000000000000000000000000000000000000000
χ884444-4-4-4-4-4-444-4-4440000004-400-11111-1-1-11111-1-1-1-10000000011-1-1−55−555−55−5−55−55-1-1115−55−5000000000000000000000000000000000000000000
χ8944-4-44-44-44-44-4000000004i−4i004i−4i-1-1-111-111i5−i5i5−i5i5−i5i5−i500000000-11-115−5−555−5−55−i−iiii5−i5i5−i5−i−iii000000000000000000000000000000000000000000
χ9044-4-44-44-44-44-4000000004i−4i004i−4i-1-1-111-111−i5i5−i5i5−i5i5−i5i500000000-11-11−555−5−555−5−i−iii−i5i5−i5i5−i−iii000000000000000000000000000000000000000000
χ9144-4-44-44-44-44-400000000−4i4i00−4i4i-1-1-111-111i5−i5i5−i5i5−i5i5−i500000000-11-11−555−5−555−5ii−i−ii5−i5i5−i5ii−i−i000000000000000000000000000000000000000000
χ9244-4-44-44-44-44-400000000−4i4i00−4i4i-1-1-111-111−i5i5−i5i5−i5i5−i5i500000000-11-115−5−555−5−55ii−i−i−i5i5−i5i5ii−i−i000000000000000000000000000000000000000000
χ9344-4-44-44-4-44-44000000004i−4i00−4i4i-1-1-111-111i5−i5i5−i5i5−i5i5−i5000000001-11-1−555−55−5−55−i−iii−i5i5−i5i5ii−i−i000000000000000000000000000000000000000000
χ9444-4-44-44-4-44-44000000004i−4i00−4i4i-1-1-111-111−i5i5−i5i5−i5i5−i5i5000000001-11-15−5−55−555−5−i−iiii5−i5i5−i5ii−i−i000000000000000000000000000000000000000000
χ9544-4-44-44-4-44-4400000000−4i4i004i−4i-1-1-111-111i5−i5i5−i5i5−i5i5−i5000000001-11-15−5−55−555−5ii−i−i−i5i5−i5i5−i−iii000000000000000000000000000000000000000000
χ9644-4-44-44-4-44-4400000000−4i4i004i−4i-1-1-111-111−i5i5−i5i5−i5i5−i5i5000000001-11-1−555−55−5−55ii−i−ii5−i5i5−i5−i−iii000000000000000000000000000000000000000000
χ9744-4-4-44-444-4-4400004-44-4000000-111-1-1-111i5−i5i5−i5−i5i5−i5i500000000-111-1-1-111-1-111i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5000000000000000000000000000000000000000000
χ9844-4-4-44-444-4-4400004-44-4000000-111-1-1-111−i5i5−i5i5i5−i5i5−i500000000-111-1-1-111-1-111−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5000000000000000000000000000000000000000000
χ9944-4-4-44-444-4-440000-44-44000000-111-1-1-111i5−i5i5−i5−i5i5−i5i500000000-111-111-1-111-1-1−i5i5i5−i5i5−i5−i5i5−i5i5i5−i5000000000000000000000000000000000000000000
χ10044-4-4-44-444-4-440000-44-44000000-111-1-1-111−i5i5−i5i5i5−i5i5−i500000000-111-111-1-111-1-1i5−i5−i5i5−i5i5i5−i5i5−i5−i5i5000000000000000000000000000000000000000000
χ10144-4-4-44-44-444-400004-4-44000000-111-1-1-111i5−i5i5−i5−i5i5−i5i5000000001-1-11-1-11111-1-1−i5i5i5−i5−i5i5i5−i5i5−i5−i5i5000000000000000000000000000000000000000000
χ10244-4-4-44-44-444-400004-4-44000000-111-1-1-111−i5i5−i5i5i5−i5i5−i5000000001-1-11-1-11111-1-1i5−i5−i5i5i5−i5−i5i5−i5i5i5−i5000000000000000000000000000000000000000000
χ10344-4-4-44-44-444-40000-444-4000000-111-1-1-111i5−i5i5−i5−i5i5−i5i5000000001-1-1111-1-1-1-111i5−i5−i5i5−i5i5i5−i5−i5i5i5−i5000000000000000000000000000000000000000000
χ10444-4-4-44-44-444-40000-444-4000000-111-1-1-111−i5i5−i5i5i5−i5i5−i5000000001-1-1111-1-1-1-111−i5i5i5−i5i5−i5−i5i5i5−i5−i5i5000000000000000000000000000000000000000000
χ1054-44-44-4-4400000000000000000044-4-44-44-4000000004-4-44-4-444000000000000000000000000000000000000000000000000000000000000000000
χ1064-44-44-4-4400000000000000000044-4-44-44-400000000-444-444-4-4000000000000000000000000000000000000000000000000000000000000000000
χ1074-44-4-444-40000000000000000004-444-4-44-4000000004i−4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1084-44-4-444-40000000000000000004-444-4-44-400000000−4i4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-88-8-88000000000000000000-2-222-22-222i5−2i5−2i52i52i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-8-88000000000000000000-2-222-22-22−2i52i52i5−2i5−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-888-8000000000000000000-22-2-222-222i5−2i5−2i52i5−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-888-8000000000000000000-22-2-222-22−2i52i52i5−2i52i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8888-8-800008-88-80000000000-2-22-2222-2-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8888-8-80000-88-880000000000-2-22-2222-222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-8-88800008-8-880000000000-22-22-222-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-8-8880000-888-80000000000-22-22-222-222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000

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