Finite Group Databasebeta

← Group #13032588

Character table — Group #13032588

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111222244444444444555588888881010101010101010101010101010101010101010161616161616161616202020202020202020202020202020202020203232404040404040404040
order12224444244588881010104444244202020204444888888888888888810101020204040404044488888888888888882020444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-1-1i−iii−i−i
χ41111111111111111111-1-1-1-11111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-1-1−ii−i−iii
χ5111111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1-11111
χ6111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-11-111-1-1-1-1
χ7111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11111-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iii-1-11-11−iiii−i−i
χ8111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11111-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i-1-11-11i−i−i−iii
χ9111111111-1-1111111111111-1-1-11111111111111111111111111-1-1-1-111111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ10111111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1111111
χ11111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1-1-11111-111-1-1-1-1ii−i−i−i−iiiii−i−i-1-1111−ii−i−iii
χ12111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1-1-11111-111-1-1-1-1−i−iiiii−i−i−i−iii-1-1111i−iii−i−i
χ13111111111-1-11-1-1-1-11111111-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1111-1111-1-1-1-1
χ14111111111-1-11-1-1-1-11111111-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-11111
χ15111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii11-11-1i−i−i−iii
χ16111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i11-11-1−iiii−i−i
χ171111-1-111-111111-1-11111111-11-1-1-111-1-11111-1-111-1-111111111-1-1-11111-1-1-11111-1-11-1111-111-1-1-1-1-11-1-11-1-11-11-1
χ181111-1-111-111111-1-11111111-11-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11-1-1-11-1-11111-11-1-1111-11-11
χ191111-1-111-111111-1-1111-1-1-1-1-11-1-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i-1-1-11111-1-11-1-1-1-111i−iii−ii−i−i−i−iii-1111-1−iii−i−ii
χ201111-1-111-111111-1-1111-1-1-1-1-11-1-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiii-1-1-11111-1-11-1-1-1-111−ii−i−ii−iiiii−i−i-1111-1i−i−iii−i
χ211111-1-111-1111-1-1111111111-1-11-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1111-1-1-11-1-1-111111-11-1-1111-11-1
χ221111-1-111-1111-1-1111111111-1-11-1-111-1-111-1-111-1-11111111111-1-1-111-1-111-111-1-111-1111-1111-1-1-1-11-11-1-1-1-1-11-11
χ231111-1-111-1111-1-111111-1-1-1-1-1-11-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiii-1-1-111-1-1111-1-111-1-1i−i−i−i−iiiiii−i−i1-1-111i−ii−i−ii
χ241111-1-111-1111-1-111111-1-1-1-1-1-11-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i-1-1-111-1-1111-1-111-1-1−iiiii−i−i−i−i−iii1-1-111−ii−iii−i
χ251111-1-111-1-1-1111-1-111111111-11-1-111-1-11111-1-111-1-111111111-111-1-111-1-1-1-1-111-1-11-1-1-11-1-1-1-1-1-1-11-111-111-11-11
χ261111-1-111-1-1-1111-1-111111111-11-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1111-111111111-111-1-1-11-11-1
χ271111-1-111-1-1-1111-1-1111-1-1-1-11-11-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i-111-1-111-1-1111-1-111i−i−i−i−iiii−i−iii1-1-1-11i−i−iii−i
χ281111-1-111-1-1-1111-1-1111-1-1-1-11-11-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiii-111-1-111-1-1111-1-111−iiiii−i−i−iii−i−i1-1-1-11−iii−i−ii
χ291111-1-111-1-1-11-1-111111111111-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1111-1111111-11-111-1-1-11-11
χ301111-1-111-1-1-11-1-111111111111-1-1-111-1-111-1-111-1-11111111111-111-1-1-1-111-1-1-1-1-111-11-1-1-11-1-1-1-1-1-1-11-111111-11-1
χ311111-1-111-1-1-11-1-111111-1-1-1-111-1-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiii-111-1-1-1-11111111-1-1i−iii−ii−i−iii−i−i-111-1-1−ii−iii−i
χ321111-1-111-1-1-11-1-111111-1-1-1-111-1-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i-111-1-1-1-11111111-1-1−ii−i−ii−iii−i−iii-111-1-1i−ii−i−ii
χ33222222-2-2-20020000222222200022-2-222-2-22222222200000000-200000000-2000000-2-200-2-200000000000000000
χ34222222-2-2-20020000222222200022-2-222-2-2-2-2-2-2-2-2-2-200000000-200000000-200000022002200000000000000000
χ35222222-2-2-20020000222-2-2-2-200022-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000-2000000002000000−2i−2i002i2i00000000000000000
χ36222222-2-2-20020000222-2-2-2-200022-2-2-2-222−2i−2i−2i−2i2i2i2i2i00000000-20000000020000002i2i00−2i−2i00000000000000000
χ372222-2-2-2-2200200002222222000-2-2-2-2-2-2-2-222-2-222-2-2000000002000000002000000-2200-2200000000000000000
χ382222-2-2-2-2200200002222222000-2-2-2-2-2-2-2-2-2-222-2-2220000000020000000020000002-2002-200000000000000000
χ392222-2-2-2-220020000222-2-2-2-2000-2-2-2-222222i2i−2i−2i−2i−2i2i2i00000000200000000-2000000−2i2i002i−2i00000000000000000
χ402222-2-2-2-220020000222-2-2-2-2000-2-2-2-22222−2i−2i2i2i2i2i−2i−2i00000000200000000-20000002i−2i00−2i2i00000000000000000
χ4122-2-2002-202-220000-2-222i−2i2i−2i000002-2002i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390002-2000002i−2i000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000
χ4222-2-2002-202-220000-2-222i−2i2i−2i000002-2002i−2i000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ390002-2000002i−2i0000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000
χ4322-2-2002-202-220000-2-22−2i2i−2i2i000002-200−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370002-200000−2i2i000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000
χ4422-2-2002-202-220000-2-22−2i2i−2i2i000002-200−2i2i000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ370002-200000−2i2i0000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000
χ4522-2-2002-20-2220000-2-222i−2i2i−2i000002-2002i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39000-2200000−2i2i0000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000
χ4622-2-2002-20-2220000-2-222i−2i2i−2i000002-2002i−2i000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000-2200000−2i2i000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000
χ4722-2-2002-20-2220000-2-22−2i2i−2i2i000002-200−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37000-22000002i−2i0000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000
χ4822-2-2002-20-2220000-2-22−2i2i−2i2i000002-200−2i2i000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000-22000002i−2i000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000
χ492-2-222i−2i0000022−2i2−i2-22-22i−2i−2i2i0002i−2i002-200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i000002−2i2−i2000i2−i22−2000000001−i−1+i1+i−1−i00000000000
χ502-2-222i−2i0000022−2i2−i2-22-22i−2i−2i2i0002i−2i002-2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i000002−2i2−i2000i2−i22−200000000−1+i1−i−1−i1+i00000000000
χ512-2-222i−2i0000022−2i2−i2-22-2−2i2i2i−2i0002i−2i00-2200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i000002−2i2−i2000−i2i2−22000000001+i−1−i1−i−1+i00000000000
χ522-2-222i−2i0000022−2i2−i2-22-2−2i2i2i−2i0002i−2i00-22002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i000002−2i2−i2000−i2i2−2200000000−1−i1+i−1+i1−i00000000000
χ532-2-222i−2i000002−22−i2i2-22-22i−2i−2i2i0002i−2i002-200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000−22−i2i2000−i2i2−2200000000−1+i1−i−1−i1+i00000000000
χ542-2-222i−2i000002−22−i2i2-22-22i−2i−2i2i0002i−2i002-2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i00000−22−i2i2000−i2i2−22000000001−i−1+i1+i−1−i00000000000
χ552-2-222i−2i000002−22−i2i2-22-2−2i2i2i−2i0002i−2i00-2200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i00000−22−i2i2000i2−i22−200000000−1−i1+i−1+i1−i00000000000
χ562-2-222i−2i000002−22−i2i2-22-2−2i2i2i−2i0002i−2i00-22002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000−22−i2i2000i2−i22−2000000001+i−1−i1−i−1+i00000000000
χ572-2-22−2i2i0000022−2−i2i2-22-22i−2i−2i2i000−2i2i00-2200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i000002−2−i2i2000i2−i2−2200000000−1+i1−i−1−i1+i00000000000
χ582-2-22−2i2i0000022−2−i2i2-22-22i−2i−2i2i000−2i2i00-22002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i000002−2−i2i2000i2−i2−22000000001−i−1+i1+i−1−i00000000000
χ592-2-22−2i2i0000022−2−i2i2-22-2−2i2i2i−2i000−2i2i002-200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i000002−2−i2i2000−i2i22−200000000−1−i1+i−1+i1−i00000000000
χ602-2-22−2i2i0000022−2−i2i2-22-2−2i2i2i−2i000−2i2i002-2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i000002−2−i2i2000−i2i22−2000000001+i−1−i1−i−1+i00000000000
χ612-2-22−2i2i000002−22i2−i2-22-22i−2i−2i2i000−2i2i00-2200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000−22i2−i2000−i2i22−2000000001−i−1+i1+i−1−i00000000000
χ622-2-22−2i2i000002−22i2−i2-22-22i−2i−2i2i000−2i2i00-22002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i00000−22i2−i2000−i2i22−200000000−1+i1−i−1−i1+i00000000000
χ632-2-22−2i2i000002−22i2−i2-22-2−2i2i2i−2i000−2i2i002-200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i00000−22i2−i2000i2−i2−22000000001+i−1−i1−i−1+i00000000000
χ642-2-22−2i2i000002−22i2−i2-22-2−2i2i2i−2i000−2i2i002-2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000−22i2−i2000i2−i2−2200000000−1−i1+i−1+i1−i00000000000
χ6544444444444-14444-1-1-10000444-1-1-1-100000000000000000000-1-1-1-1-1-1-1-1-10000000000000000000-1-1000000000
χ6644444444444-1-4-4-4-4-1-1-100004-4-4-1-1-1-100000000000000000000-1-1-1-1-11111000000000000000000011000000000
χ67444444444-4-4-14444-1-1-10000-4-4-4-1-1-1-100000000000000000000-11111-1-1-1-1000000000000000000011000000000
χ68444444444-4-4-1-4-4-4-4-1-1-10000-444-1-1-1-100000000000000000000-1111111110000000000000000000-1-1000000000
χ694444-4-444-444-144-4-4-1-1-10000-44-411-1-100000000000000000000111-1-1-1-11100000000000000000001-1000000000
χ704444-4-444-444-1-4-444-1-1-10000-4-4411-1-100000000000000000000111-1-111-1-10000000000000000000-11000000000
χ714444-4-444-4-4-4-144-4-4-1-1-100004-4411-1-1000000000000000000001-1-111-1-1110000000000000000000-11000000000
χ724444-4-444-4-4-4-1-4-444-1-1-1000044-411-1-1000000000000000000001-1-11111-1-100000000000000000001-1000000000
χ7344-4-400-4400040000-4-444i−4i4i−4i00000-4400−4i4i0000000000000000000000000000000000000000000000000000000
χ7444-4-400-4400040000-4-44−4i4i−4i4i00000-44004i−4i0000000000000000000000000000000000000000000000000000000
χ754-44-40000000400004-4-444-4-4000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000
χ764-44-40000000400004-4-444-4-40000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000
χ774-44-40000000400004-4-4-4-44400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ784-44-40000000400004-4-4-4-4440000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ79888888-8-8-800-20000-2-2-20000000-2-22200000000000000000000200000000000000000000000000000000000000
χ808888-8-8-8-8800-20000-2-2-20000000222200000000000000000000-200000000000000000000000000000000000000
χ8188-8-8008-808-8-2000022-2000000000-2200000000000000000000000-220000000000000000000000000000000000
χ8288-8-8008-80-88-2000022-2000000000-22000000000000000000000002-20000000000000000000000000000000000
χ8388-8-800-88000-2000022-20000000002-200000000000000000000025−25000000000000000000000000000000000000
χ8488-8-800-88000-2000022-20000000002-2000000000000000000000−2525000000000000000000000000000000000000
χ858-8-888i−8i00000-242−424i2−4i22-220000000−2i2i000000000000000000000000000−22−i2i2000000000000000000000000000000
χ868-8-888i−8i00000-2−4242−4i24i22-220000000−2i2i0000000000000000000000000002−2i2−i2000000000000000000000000000000
χ878-8-88−8i8i00000-242−42−4i24i22-2200000002i−2i000000000000000000000000000−22i2−i2000000000000000000000000000000
χ888-8-88−8i8i00000-2−42424i2−4i22-2200000002i−2i0000000000000000000000000002−2−i2i2000000000000000000000000000000
χ8916-1616-160000000-40000-4440000000000000000000000000000000000000000000000000000000000000000000000

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