Finite Group Databasebeta

← Group #13032553

Character table — Group #13032553

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111222244444444444555588888881010101010101010101010101010101010101010161616161616161616202020202020202020202020202020202020203232404040404040404040
order12224444224588881010104444244202020202244888888888888888810102020204040404044488888888888888881020244888888
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
χ31111111111111111111-1-1-1-11111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i111111111-1-1-1-1-1-1-1i−iiii−i−i−iii−i−i11-1-1-1i−iii−i−i
χ41111111111111111111-1-1-1-11111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii111111111-1-1-1-1-1-1-1−ii−i−i−iiii−i−iii11-1-1-1−ii−i−iii
χ5111111111111-1-1-1-11111111-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11-1-1-1-1-1-1-1-11-1-1111-11-1
χ6111111111111-1-1-1-11111111-1-1111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-111-1111111-1-11-1-1-1-1-11-11
χ7111111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii11111-1-1-1-1-1-1-11111i−ii−i−i−iii−i−iii-1-1-111i−ii−i−ii
χ8111111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i11111-1-1-1-1-1-1-11111−ii−iiii−i−iii−i−i-1-1-111−ii−iii−i
χ911111111-1-11111111111111-1-1-1111111111111111111111111-1-11-1-111111-1-11111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ1011111111-1-11111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-111-111-1-1-1-1-1-1-1-1-1111111
χ1111111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-11-1-11111-111-1-1-1-1i−ii−i−i−iiiii−i−i-1-1111−ii−i−iii
χ1211111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-11-1-11111-111-1-1-1-1−ii−iiii−i−i−i−iii-1-1111i−iii−i−i
χ1311111111-1-111-1-1-1-1111111111-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111-111-1-1-11-11
χ1411111111-1-111-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111-11-1
χ1511111111-1-111-1-1-1-1111-1-1-1-111-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-1-11-1-1-1-1-1-1-1111111i−iiii−i−i−i−i−iii111-1-1−ii−iii−i
χ1611111111-1-111-1-1-1-1111-1-1-1-111-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-1-11-1-1-1-1-1-1-1111111−ii−i−i−iiiiii−i−i111-1-1i−ii−i−ii
χ171111-1-11111-1111-1-111111111-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-11-1-11-1-111111-1-1-1111-11-11
χ181111-1-11111-1111-1-111111111-1-11-1-11-1-111-1-1-1-111111111111111-1-1-111-1-1-11111-1-111-111-111-1-1-1-11-1-1-11-1-11-11-1
χ191111-1-11111-1111-1-1111-1-1-1-11-1-11-1-1111-1-1ii−i−i−i−iii−i−i−i−iiiii11-1-1-111-1-11-1-1-1-111−iii−i−i−iiiii−i−i1-111-1i−i−iii−i
χ201111-1-11111-1111-1-1111-1-1-1-11-1-11-1-1111-1-1−i−iiiii−i−iiiii−i−i−i−i11-1-1-111-1-11-1-1-1-111i−i−iiii−i−i−i−iii1-111-1−iii−i−ii
χ211111-1-11111-11-1-1111111111-11-11-1-11-1-1111111-1-1-1-11111111111-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1-11-11-111-1-1-1-1
χ221111-1-11111-11-1-1111111111-11-11-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-11111-11-11-1-1-11111
χ231111-1-11111-11-1-111111-1-1-1-1-11-11-1-1111-1-1ii−i−i−i−iiiiiii−i−i−i−i11-1-1-1-1-1111-1-111-1-1−iiiii−i−i−i−i−iii-111-11i−i−i−iii
χ241111-1-11111-11-1-111111-1-1-1-1-11-11-1-1111-1-1−i−iiiii−i−i−i−i−i−iiiii11-1-1-1-1-1111-1-111-1-1i−i−i−i−iiiiii−i−i-111-11−iiii−i−i
χ251111-1-111-1-1-1111-1-11111111-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111111111-1111-1-1-11-11-1
χ261111-1-111-1-1-1111-1-11111111-1111-1-11-1-111-1-1-1-1111111111111-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-111-11-11
χ271111-1-111-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-1ii−i−i−i−iii−i−i−i−iiiii-1-1-11111-1-1111-1-111−iiiii−i−i−iii−i−i-11-1-11−iii−i−ii
χ281111-1-111-1-1-1111-1-1111-1-1-1-1-1111-1-1111-1-1−i−iiiii−i−iiiii−i−i−i−i-1-1-11111-1-1111-1-111i−i−i−i−iiii−i−iii-11-1-11i−i−iii−i
χ291111-1-111-1-1-11-1-11111111111-111-1-11-1-1111111-1-1-1-111111111-1-1-111-1-111-1-1-1-1-111-1-11-1-11-1-1-1-1-1-11-11-11-1-11111
χ301111-1-111-1-1-11-1-11111111111-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-111-11111111-11-1111-1-1-1-1
χ311111-1-111-1-1-11-1-111111-1-1-1-11-111-1-1111-1-1ii−i−i−i−iiiiiii−i−i−i−i-1-1-111-1-11111111-1-1−iii−i−i−iii−i−iii1-1-11-1−iiii−i−i
χ321111-1-111-1-1-11-1-111111-1-1-1-11-111-1-1111-1-1−i−iiiii−i−i−i−i−i−iiiii-1-1-111-1-11111111-1-1i−i−iiii−i−iii−i−i1-1-11-1i−i−i−iii
χ33222222-2-200-2200002222222000-222-222-2-2222222220000000000-2000000-2000000-2-2-200-200000000000000000
χ34222222-2-200-2200002222222000-222-222-2-2-2-2-2-2-2-2-2-20000000000-2000000-200000022200200000000000000000
χ35222222-2-200-220000222-2-2-2-2000-222-2-2-2222i2i−2i−2i2i2i−2i−2i0000000000-20000002000000−2i2i−2i002i00000000000000000
χ36222222-2-200-220000222-2-2-2-2000-222-2-2-222−2i−2i2i2i−2i−2i2i2i0000000000-200000020000002i−2i2i00−2i00000000000000000
χ372222-2-2-2-2002200002222222000-2-2-2-2-2-2-2-22222-2-2-2-200000000002000000200000022-200-200000000000000000
χ382222-2-2-2-2002200002222222000-2-2-2-2-2-2-2-2-2-2-2-22222000000000020000002000000-2-2200200000000000000000
χ392222-2-2-2-200220000222-2-2-2-2000-2-2-2-222222i2i−2i−2i−2i−2i2i2i00000000002000000-20000002i−2i−2i002i00000000000000000
χ402222-2-2-2-200220000222-2-2-2-2000-2-2-2-22222−2i−2i2i2i2i2i−2i−2i00000000002000000-2000000−2i2i2i00−2i00000000000000000
χ4122-2-2002-22-2020000-22-22i−2i2i−2i000-2002002i−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+2ζ392-2000000002i−2i0000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000
χ4222-2-2002-22-2020000-22-22i−2i2i−2i000-2002002i−2i000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392-2000000002i−2i00000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3702ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000
χ4322-2-2002-22-2020000-22-2−2i2i−2i2i000-200200−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372-200000000−2i2i0000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000
χ4422-2-2002-22-2020000-22-2−2i2i−2i2i000-200200−2i2i000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372-200000000−2i2i00000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3902ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000
χ4522-2-2002-2-22020000-22-22i−2i2i−2i000-2002002i−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+2ζ39-2200000000−2i2i00000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3702ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000
χ4622-2-2002-2-22020000-22-22i−2i2i−2i000-2002002i−2i000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39-2200000000−2i2i0000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000
χ4722-2-2002-2-22020000-22-2−2i2i−2i2i000-200200−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37-22000000002i−2i00000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3902ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000
χ4822-2-2002-2-22020000-22-2−2i2i−2i2i000-200200−2i2i000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37-22000000002i−2i0000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000
χ492-22-22i−2i0000022−2i2−i22-2-22i−2i−2i2i00002i−2i02-200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+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
χ502-22-22i−2i0000022−2i2−i22-2-22i−2i−2i2i00002i−2i02-2002ζ13+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
χ512-22-22i−2i0000022−2i2−i22-2-2−2i2i2i−2i00002i−2i0-2200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+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+i000002−2i2−i2000−i2i2−2200000000−1+i1−i−1−i1+i00000000000
χ522-22-22i−2i0000022−2i2−i22-2-2−2i2i2i−2i00002i−2i0-22002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i000002−2i2−i2000−i2i2−22000000001−i−1+i1+i−1−i00000000000
χ532-22-22i−2i000002−22−i2i22-2-22i−2i−2i2i00002i−2i02-200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+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
χ542-22-22i−2i000002−22−i2i22-2-22i−2i−2i2i00002i−2i02-2002ζ13+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
χ552-22-22i−2i000002−22−i2i22-2-2−2i2i2i−2i00002i−2i0-2200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+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−i00000−22−i2i2000i2−i22−2000000001−i−1+i1+i−1−i00000000000
χ562-22-22i−2i000002−22−i2i22-2-2−2i2i2i−2i00002i−2i0-22002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i00000−22−i2i2000i2−i22−200000000−1+i1−i−1−i1+i00000000000
χ572-22-2−2i2i0000022−2−i2i22-2-22i−2i−2i2i0000−2i2i0-2200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+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+i000002−2−i2i2000i2−i2−22000000001+i−1−i1−i−1+i00000000000
χ582-22-2−2i2i0000022−2−i2i22-2-22i−2i−2i2i0000−2i2i0-22002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i000002−2−i2i2000i2−i2−2200000000−1−i1+i−1+i1−i00000000000
χ592-22-2−2i2i0000022−2−i2i22-2-2−2i2i2i−2i0000−2i2i02-200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+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
χ602-22-2−2i2i0000022−2−i2i22-2-2−2i2i2i−2i0000−2i2i02-2002ζ7+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
χ612-22-2−2i2i000002−22i2−i22-2-22i−2i−2i2i0000−2i2i0-2200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+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−i00000−22i2−i2000−i2i22−200000000−1−i1+i−1+i1−i00000000000
χ622-22-2−2i2i000002−22i2−i22-2-22i−2i−2i2i0000−2i2i0-22002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000−22i2−i2000−i2i22−2000000001+i−1−i1−i−1+i00000000000
χ632-22-2−2i2i000002−22i2−i22-2-2−2i2i2i−2i0000−2i2i02-200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+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
χ642-22-2−2i2i000002−22i2−i22-2-2−2i2i2i−2i0000−2i2i02-2002ζ7+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
χ6644444444444-1-4-4-4-4-1-1-10000-4-44-1-1-1-100000000000000000000-1-1-1-1-11111000000000000000000011000000000
χ6744444444-4-44-14444-1-1-10000-4-4-4-1-1-1-10000000000000000000011-111-1-1-1-1000000000000000000011000000000
χ6844444444-4-44-1-4-4-4-4-1-1-1000044-4-1-1-1-10000000000000000000011-11111110000000000000000000-1-1000000000
χ694444-4-44444-4-144-4-4-1-1-100004-4-4-111-100000000000000000000-1-1111-1-1110000000000000000000-11000000000
χ704444-4-44444-4-1-4-444-1-1-10000-44-4-111-100000000000000000000-1-111111-1-100000000000000000001-1000000000
χ714444-4-444-4-4-4-144-4-4-1-1-10000-444-111-100000000000000000000111-1-1-1-11100000000000000000001-1000000000
χ724444-4-444-4-4-4-1-4-444-1-1-100004-44-111-100000000000000000000111-1-111-1-10000000000000000000-11000000000
χ7344-4-400-4400040000-44-44i−4i4i−4i000400-400−4i4i0000000000000000000000000000000000000000000000000000000
χ7444-4-400-4400040000-44-4−4i4i−4i4i000400-4004i−4i0000000000000000000000000000000000000000000000000000000
χ754-4-44000000040000-4-4444-4-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ764-4-44000000040000-4-4444-4-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ774-4-44000000040000-4-44-4-444000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000
χ784-4-44000000040000-4-44-4-4440000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000
χ79888888-8-800-8-20000-2-2-200000002-2-2200000000000000000000002000000000000000000000000000000000000
χ808888-8-8-8-8008-20000-2-2-2000000022220000000000000000000000-2000000000000000000000000000000000000
χ8188-8-8008-88-80-200002-220000000200-200000000000000000000-220000000000000000000000000000000000000
χ8288-8-8008-8-880-200002-220000000200-2000000000000000000002-20000000000000000000000000000000000000
χ8388-8-800-88000-200002-220000000-2002000000000000000000000002i5−2i50000000000000000000000000000000000
χ8488-8-800-88000-200002-220000000-200200000000000000000000000−2i52i50000000000000000000000000000000000
χ858-88-88i−8i00000-242−424i2−4i2-22200000000−2i2i00000000000000000000000000−22−i2i2000000000000000000000000000000
χ868-88-88i−8i00000-2−4242−4i24i2-22200000000−2i2i000000000000000000000000002−2i2−i2000000000000000000000000000000
χ878-88-8−8i8i00000-242−42−4i24i2-222000000002i−2i00000000000000000000000000−22i2−i2000000000000000000000000000000
χ888-88-8−8i8i00000-2−42424i2−4i2-222000000002i−2i000000000000000000000000002−2−i2i2000000000000000000000000000000
χ8916-16-16160000000-4000044-40000000000000000000000000000000000000000000000000000000000000000000000

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