Finite Group Databasebeta

← Group #13041492

Character table — Group #13041492

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111222244444444444555588888881010101010101010101010101010101010101010161616161616161616202020202020202020202020202020202020203232404040404040404040
order12224444224588881010104444224202020202244444444448888888810102020204040404044444448888888888881010444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111-1-1-1ii−i−i-1-1-1-1iiii−i−i−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−i−iii-1-1-1-1−i−i−i−iiiii11-1-1-1−ii−i−iii
χ5111111111111-1-1-1-11111111-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-11-1-111-1-1-1-1
χ6111111111111-1-1-1-11111111-1-1111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-11111
χ7111111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11111-1-1-1-1-1-1-1ii−i−i1111ii−i−i−i−iii-1-1-111i−i−i−iii
χ8111111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11111-1-1-1-1-1-1-1−i−iii1111−i−iiiii−i−i-1-1-111−iiii−i−i
χ911111111-1-11111111111111-1-1-1111111111111111111111111-1-11-1-111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ1011111111-1-11111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1111111
χ1111111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11-1-11111-111ii−i−i-1-1-1-1−i−iiiii−i−i-1-1111−ii−i−iii
χ1211111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11-1-11111-111−i−iii-1-1-1-1ii−i−i−i−iii-1-1111i−iii−i−i
χ1311111111-1-111-1-1-1-1111111111-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ1411111111-1-111-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-1-1
χ1511111111-1-111-1-1-1-1111-1-1-1-111-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11-1-1-1-1-1-1-111ii−i−i1111−i−i−i−iiiii111-1-1−iiii−i−i
χ1611111111-1-111-1-1-1-1111-1-1-1-111-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11-1-1-1-1-1-1-111−i−iii1111iiii−i−i−i−i111-1-1i−i−i−iii
χ171111-1-11111-1111-1-111111111-1-11-1-1111-1-11111111111-1-111-1-111-1-1-111-1-1-111-1-1-1-111-1-1111-1111-11-1-11-1-1-11-11-1
χ181111-1-11111-1111-1-111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-111111111-1-1-1-1-11-1-1-111-1-11-111-11-11
χ191111-1-11111-1111-1-1111-1-1-1-11-1-11-1-11-1-111iiii−i−i−i−iii−i−i−i−iii11-1-1-111-1-11-1-1−i−iii-1-111iii−i−i−i−ii1-11-11−iii−i−ii
χ201111-1-11111-1111-1-1111-1-1-1-11-1-11-1-11-1-111−i−i−i−iiiii−i−iiiii−i−i11-1-1-111-1-11-1-1ii−i−i-1-111−i−i−iiiii−i1-11-11i−i−iii−i
χ211111-1-11111-11-1-1111111111-11-11-1-1111-1-111111111-1-111-1-11111-1-1-1-1-111-111-1-1-1-1-1-11111-1111-11-11-1-11-1-1-11-11
χ221111-1-11111-11-1-1111111111-11-11-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-111-1111111-1-111-1-11-1-1-11-1-11-1-11111-11-1
χ231111-1-11111-11-1-111111-1-1-1-1-11-11-1-11-1-111iiii−i−i−i−i−i−iiiii−i−i11-1-1-1-1-1111-1-1−i−iii11-1-1ii−ii−i−ii−i-1111-1−ii−iii−i
χ241111-1-11111-11-1-111111-1-1-1-1-11-11-1-11-1-111−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-1-1111-1-1ii−i−i11-1-1−i−ii−iii−ii-1111-1i−ii−i−ii
χ251111-1-111-1-1-1111-1-11111111-1111-1-1111-1-11111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-1-111-1111-11-11
χ261111-1-111-1-1-1111-1-11111111-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1111111-1-111-1111-11-111-11-1-11-11-1
χ271111-1-111-1-1-1111-1-1111-1-1-1-1-1111-1-11-1-111iiii−i−i−i−iii−i−i−i−iii-1-1-11111-1-1111−i−iii-1-111−i−ii−iii−ii-11-11-1i−i−iii−i
χ281111-1-111-1-1-1111-1-1111-1-1-1-1-1111-1-11-1-111−i−i−i−iiiii−i−iiiii−i−i-1-1-11111-1-1111ii−i−i-1-111ii−ii−i−ii−i-11-11-1−iii−i−ii
χ291111-1-111-1-1-11-1-11111111111-111-1-1111-1-111111111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-111-1111-11-1
χ301111-1-111-1-1-11-1-11111111111-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-111-1-1-11111-1-111111-1111-11-111-1-1-1-11-11
χ311111-1-111-1-1-11-1-111111-1-1-1-11-111-1-11-1-111iiii−i−i−i−i−i−iiiii−i−i-1-1-111-1-111111−i−iii11-1-1−i−i−iiiii−i1-1-1-11i−ii−i−ii
χ321111-1-111-1-1-11-1-111111-1-1-1-11-111-1-11-1-111−i−i−i−iiiiiii−i−i−i−iii-1-1-111-1-111111ii−i−i11-1-1iii−i−i−i−ii1-1-1-11−ii−iii−i
χ33222222-2-200-2200002222222000-222-2-2-222000000002222222200-2000000-2000000000000-2-200-2-200000000000
χ34222222-2-200-2200002222222000-222-2-2-22200000000-2-2-2-2-2-2-2-200-2000000-200000000000022002200000000000
χ35222222-2-200-220000222-2-2-2-2000-222-222-2-2000000002i2i2i2i−2i−2i−2i−2i00-20000002000000000000−2i−2i002i2i00000000000
χ36222222-2-200-220000222-2-2-2-2000-222-222-2-200000000−2i−2i−2i−2i2i2i2i2i00-200000020000000000002i2i00−2i−2i00000000000
χ372222-2-2-2-2002200002222222000-2-2-2-2-2-2-2-20000000022-2-222-2-20020000002000000000000-2200-2200000000000
χ382222-2-2-2-2002200002222222000-2-2-2-2-2-2-2-200000000-2-222-2-22200200000020000000000002-2002-200000000000
χ392222-2-2-2-200220000222-2-2-2-2000-2-2-2-22222000000002i2i−2i−2i−2i−2i2i2i002000000-2000000000000−2i2i002i−2i00000000000
χ402222-2-2-2-200220000222-2-2-2-2000-2-2-2-2222200000000−2i−2i2i2i2i2i−2i−2i002000000-20000000000002i−2i00−2i2i00000000000
χ4122-2-22-20000022−22−2-2-222i−2i2i−2i00002-20002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−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+2ζ39000002−22−20001+i−1−i1−i−1+ii2−i2i2−i20000000000000000000
χ4222-2-22-20000022−22−2-2-222i−2i2i−2i00002-20002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000002−22−2000−1−i1+i−1+i1−ii2−i2i2−i20000000000000000000
χ4322-2-22-20000022−22−2-2-22−2i2i−2i2i00002-2000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000002−22−20001−i−1+i1+i−1−i−i2i2−i2i20000000000000000000
χ4422-2-22-20000022−22−2-2-22−2i2i−2i2i00002-2000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−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+2ζ37000002−22−2000−1+i1−i−1−i1+i−i2i2−i2i20000000000000000000
χ4522-2-22-2000002−22−22-2-222i−2i2i−2i00002-20002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000−22−220001+i−1−i1−i−1+i−i2i2−i2i20000000000000000000
χ4622-2-22-2000002−22−22-2-222i−2i2i−2i00002-20002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−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+2ζ3900000−22−22000−1−i1+i−1+i1−i−i2i2−i2i20000000000000000000
χ4722-2-22-2000002−22−22-2-22−2i2i−2i2i00002-2000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−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+2ζ3700000−22−220001−i−1+i1+i−1−ii2−i2i2−i20000000000000000000
χ4822-2-22-2000002−22−22-2-22−2i2i−2i2i00002-2000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000−22−22000−1+i1−i−1−i1+ii2−i2i2−i20000000000000000000
χ4922-2-2-220000022−2−22-2-222i−2i2i−2i0000-22000−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000002−2−22000−1−i1+i−1+i1−ii2−i2−i2i20000000000000000000
χ5022-2-2-220000022−2−22-2-222i−2i2i−2i0000-22000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000002−2−220001+i−1−i1−i−1+ii2−i2−i2i20000000000000000000
χ5122-2-2-220000022−2−22-2-22−2i2i−2i2i0000-220002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000002−2−22000−1+i1−i−1−i1+i−i2i2i2−i20000000000000000000
χ5222-2-2-220000022−2−22-2-22−2i2i−2i2i0000-220002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000002−2−220001−i−1+i1+i−1−i−i2i2i2−i20000000000000000000
χ5322-2-2-22000002−222−2-2-222i−2i2i−2i0000-22000−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000−222−2000−1−i1+i−1+i1−i−i2i2i2−i20000000000000000000
χ5422-2-2-22000002−222−2-2-222i−2i2i−2i0000-22000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000−222−20001+i−1−i1−i−1+i−i2i2i2−i20000000000000000000
χ5522-2-2-22000002−222−2-2-22−2i2i−2i2i0000-220002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000−222−2000−1+i1−i−1−i1+ii2−i2−i2i20000000000000000000
χ5622-2-2-22000002−222−2-2-22−2i2i−2i2i0000-220002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000−222−20001−i−1+i1+i−1−ii2−i2−i2i20000000000000000000
χ572-2-2200-222-20200002-2-222-2-2000-20022-2002i−2i2i−2i2i−2i2i−2i000000002-2000000002-2000000002i−2i002i−2i0000000000000
χ582-2-2200-222-20200002-2-222-2-2000-20022-200−2i2i−2i2i−2i2i−2i2i000000002-2000000002-200000000−2i2i00−2i2i0000000000000
χ592-2-2200-222-20200002-2-2-2-222000-2002-22002-22-2-22-22000000002-200000000-22000000002-200-220000000000000
χ602-2-2200-222-20200002-2-2-2-222000-2002-2200-22-222-22-2000000002-200000000-2200000000-22002-20000000000000
χ612-2-2200-22-220200002-2-222-2-2000-20022-2002i−2i2i−2i2i−2i2i−2i00000000-2200000000-2200000000−2i2i00−2i2i0000000000000
χ622-2-2200-22-220200002-2-222-2-2000-20022-200−2i2i−2i2i−2i2i−2i2i00000000-2200000000-22000000002i−2i002i−2i0000000000000
χ632-2-2200-22-220200002-2-2-2-222000-2002-22002-22-2-22-2200000000-22000000002-200000000-22002-20000000000000
χ642-2-2200-22-220200002-2-2-2-222000-2002-2200-22-222-22-200000000-22000000002-2000000002-200-220000000000000
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
χ734-44-4000000040000-44-44i−4i−4i4i000000000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00000000000000000000000000000000000000000000000
χ744-44-4000000040000-44-44i−4i−4i4i00000000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i00000000000000000000000000000000000000000000000
χ754-44-4000000040000-44-4−4i4i4i−4i000000000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00000000000000000000000000000000000000000000000
χ764-44-4000000040000-44-4−4i4i4i−4i00000000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i00000000000000000000000000000000000000000000000
χ774-4-44004-4000400004-4-444-4-4000400-4-44000000000000000000000000000000000000000000000000000000000
χ784-4-44004-4000400004-4-4-4-444000400-44-4000000000000000000000000000000000000000000000000000000000
χ79888888-8-800-8-20000-2-2-200000002-2-2200000000000000000000002000000000000000000000000000000000000
χ808888-8-8-8-8008-20000-2-2-2000000022220000000000000000000000-2000000000000000000000000000000000000
χ8188-8-88-800000-242−4242−4222-200000000-2200000000000000000000000000−22−22000000000000000000000000000000
χ8288-8-88-800000-2−4242−424222-200000000-22000000000000000000000000002−22−2000000000000000000000000000000
χ8388-8-8-8800000-242−42−424222-2000000002-200000000000000000000000000−222−2000000000000000000000000000000
χ8488-8-8-8800000-2−424242−4222-2000000002-2000000000000000000000000002−2−22000000000000000000000000000000
χ858-8-88008-8000-20000-2220000000-2002000000000000000000000002i5−2i50000000000000000000000000000000000
χ868-8-88008-8000-20000-2220000000-200200000000000000000000000−2i52i50000000000000000000000000000000000
χ878-8-8800-888-80-20000-2220000000200-200000000000000000000-220000000000000000000000000000000000000
χ888-8-8800-88-880-20000-2220000000200-2000000000000000000002-20000000000000000000000000000000000000
χ8916-1616-160000000-400004-440000000000000000000000000000000000000000000000000000000000000000000000

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