Finite Group Databasebeta

← Group #13022307

Character table — Group #13022307

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12222222444444445888810101010101010444444442220202020404040404040404022228888888810101010202020204444444444448888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiii−i−i−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−iiiiiii-1-1−i−iii
χ511111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111iiiiii−i−i−i−i−i−i11−i−iii
χ811111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111−i−i−i−i−i−iiiiiii11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1ii−i−i−i−i−i−iiiii11−i−iii
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−iiiiiii−i−i−i−i11ii−i−i
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ15111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111−i−i−i−iiiii1111ii−i−i−i−i−i−iiiii-1-1ii−i−i
χ16111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111iiii−i−i−i−i1111−i−iiiiiii−i−i−i−i-1-1−i−iii
χ17111-1-1-1-1111-1-1ii−i−i1ii−i−i11-1-1-11-11111-1-1-1-11-111-1-1iiii−i−i−i−i1-1-11ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−ii−i11-1-1i−i11-1-11-1i−ii−i
χ18111-1-1-1-1111-1-1ii−i−i1ii−i−i11-1-1-11-11111-1-1-1-11-111-1-1iiii−i−i−i−i1-1-11−i−iii−i−iii11-1-1ii−i−iii−i−i-1-111-1-111ii−i−i−ii-1-111−ii-1-1111-1−ii−ii
χ19111-1-1-1-1111-1-1ii−i−i1ii−i−i11-1-1-11-1-1-1-1-111111-111-1-1iiii−i−i−i−i-111-111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iii1-1−i−iii-11ii−i−i-111-1-11
χ20111-1-1-1-1111-1-1ii−i−i1ii−i−i11-1-1-11-1-1-1-1-111111-111-1-1iiii−i−i−i−i-111-1-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iii-11ii−i−i1-1−i−iii-11-111-1
χ21111-1-1-1-1111-1-1ii−i−i1−i−iii11-1-1-11-11111-1-1-1-1-1111-1-1−i−i−i−iiiii1-1-11ii−i−iii−i−i-1-111ii−i−iii−i−i-1-111-1-111−i−iiii−i11-1-1i−i11-1-1-11−ii−ii
χ22111-1-1-1-1111-1-1ii−i−i1−i−iii11-1-1-11-11111-1-1-1-1-1111-1-1−i−i−i−iiiii1-1-11−i−iii−i−iii-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−ii-1-111−ii-1-111-11i−ii−i
χ23111-1-1-1-1111-1-1ii−i−i1−i−iii11-1-1-11-1-1-1-1-11111-1111-1-1−i−i−i−iiiii-111-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1−i−iii-11ii−i−i1-1-111-1
χ24111-1-1-1-1111-1-1ii−i−i1−i−iii11-1-1-11-1-1-1-1-11111-1111-1-1−i−i−i−iiiii-111-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i-11ii−i−i1-1−i−iii1-11-1-11
χ25111-1-1-1-1111-1-1−i−iii1ii−i−i11-1-1-11-11111-1-1-1-1-1111-1-1iiii−i−i−i−i1-1-11ii−i−iii−i−i-1-111−i−iii−i−iii11-1-111-1-1ii−i−ii−i-1-111i−i-1-111-11−ii−ii
χ26111-1-1-1-1111-1-1−i−iii1ii−i−i11-1-1-11-11111-1-1-1-1-1111-1-1iiii−i−i−i−i1-1-11−i−iii−i−iii-1-111−i−iii−i−iii-1-111-1-111ii−i−i−ii11-1-1−ii11-1-1-11i−ii−i
χ27111-1-1-1-1111-1-1−i−iii1ii−i−i11-1-1-11-1-1-1-1-11111-1111-1-1iiii−i−i−i−i-111-111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1ii−i−i-11−i−iii1-1-111-1
χ28111-1-1-1-1111-1-1−i−iii1ii−i−i11-1-1-11-1-1-1-1-11111-1111-1-1iiii−i−i−i−i-111-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iii-11−i−iii1-1ii−i−i1-11-1-11
χ29111-1-1-1-1111-1-1−i−iii1−i−iii11-1-1-11-11111-1-1-1-11-111-1-1−i−i−i−iiiii1-1-11ii−i−iii−i−i11-1-1−i−iii−i−iii-1-111-1-111−i−iiii−i-1-111i−i-1-1111-1i−ii−i
χ30111-1-1-1-1111-1-1−i−iii1−i−iii11-1-1-11-11111-1-1-1-11-111-1-1−i−i−i−iiiii1-1-11−i−iii−i−iii11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−ii11-1-1−ii11-1-11-1−ii−ii
χ31111-1-1-1-1111-1-1−i−iii1−i−iii11-1-1-11-1-1-1-1-111111-111-1-1−i−i−i−iiiii-111-111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i1-1ii−i−i-11−i−iii-111-1-11
χ32111-1-1-1-1111-1-1−i−iii1−i−iii11-1-1-11-1-1-1-1-111111-111-1-1−i−i−i−iiiii-111-1-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i-11−i−iii1-1ii−i−i-11-111-1
χ3322222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-222222222000000000000000000000000-2-20000-2-20000000000
χ3422222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000220000220000000000
χ3522222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-20000000022222i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i00002i2i0000000000
χ3622222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-2000000002222−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i0000−2i−2i0000000000
χ37222-2-2-2-22-2-22200002000022-2-2-22-22222-2-2-2-200-2-22200000000-222-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i0000−2i2i0000000000
χ38222-2-2-2-22-2-22200002000022-2-2-22-22222-2-2-2-200-2-22200000000-222-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i00002i−2i0000000000
χ39222-2-2-2-22-2-22200002000022-2-2-22-2-2-2-2-2222200-2-222000000002-2-2222-2-2-2-222000000000000000000000000-2200002-20000000000
χ40222-2-2-2-22-2-22200002000022-2-2-22-2-2-2-2-2222200-2-222000000002-2-22-2-22222-2-20000000000000000000000002-20000-220000000000
χ4122-22-22-2-20000000022−22−22-22-2-2-222i−2i2i−2i2i2i−2i−2i00000022−2−222−2−20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i2000000000000000000
χ4222-22-22-2-20000000022−22−22-22-2-2-222i−2i2i−2i2i2i−2i−2i00000022−2−222−2−200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i2000000000000000000
χ4322-22-22-2-20000000022−22−22-22-2-2-22−2i2i−2i2i−2i−2i2i2i00000022−2−222−2−20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i2000000000000000000
χ4422-22-22-2-20000000022−22−22-22-2-2-22−2i2i−2i2i−2i−2i2i2i00000022−2−222−2−200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i2000000000000000000
χ4522-22-22-2-2000000002−22−222-22-2-2-222i−2i2i−2i2i2i−2i−2i000000−2−222−2−2220000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i2000000000000000000
χ4622-22-22-2-2000000002−22−222-22-2-2-222i−2i2i−2i2i2i−2i−2i000000−2−222−2−22200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i2000000000000000000
χ4722-22-22-2-2000000002−22−222-22-2-2-22−2i2i−2i2i−2i−2i2i2i000000−2−222−2−2220000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i2000000000000000000
χ4822-22-22-2-2000000002−22−222-22-2-2-22−2i2i−2i2i−2i−2i2i2i000000−2−222−2−22200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i2000000000000000000
χ4922-2-22-22-2000000002i2−i2−i2i22-2-222-2-22i−2i2i−2i−2i−2i2i2i000000i2i2−i2−i2−i2−i2i2i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−222−2000000000000000000
χ5022-2-22-22-2000000002i2−i2−i2i22-2-222-2-22i−2i2i−2i−2i−2i2i2i000000i2i2−i2−i2−i2−i2i2i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−222−2000000000000000000
χ5122-2-22-22-2000000002i2−i2−i2i22-2-222-2-2−2i2i−2i2i2i2i−2i−2i000000i2i2−i2−i2−i2−i2i2i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i2−2−22000000000000000000
χ5222-2-22-22-2000000002i2−i2−i2i22-2-222-2-2−2i2i−2i2i2i2i−2i−2i000000i2i2−i2−i2−i2−i2i2i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i2−2−22000000000000000000
χ5322-2-22-22-2000000002−i2i2i2−i22-2-222-2-22i−2i2i−2i−2i−2i2i2i000000−i2−i2i2i2i2i2−i2−i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i2−2−22000000000000000000
χ5422-2-22-22-2000000002−i2i2i2−i22-2-222-2-22i−2i2i−2i−2i−2i2i2i000000−i2−i2i2i2i2i2−i2−i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i2−2−22000000000000000000
χ5522-2-22-22-2000000002−i2i2i2−i22-2-222-2-2−2i2i−2i2i2i2i−2i−2i000000−i2−i2i2i2i2i2−i2−i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−222−2000000000000000000
χ5622-2-22-22-2000000002−i2i2i2−i22-2-222-2-2−2i2i−2i2i2i2i−2i−2i000000−i2−i2i2i2i2i2−i2−i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i−222−2000000000000000000
χ572-2-222-2-222-22-22i−2i2i−2i20000-2-222-22-222-2-22-22-2002-22-200000000-22-220000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ582-2-222-2-222-22-22i−2i2i−2i20000-2-222-22-2-2-222-22-22002-22-2000000002-22-20000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ592-2-222-2-222-22-2−2i2i−2i2i20000-2-222-22-222-2-22-22-2002-22-200000000-22-22000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ602-2-222-2-222-22-2−2i2i−2i2i20000-2-222-22-2-2-222-22-22002-22-2000000002-22-2000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ612-2-222-2-22-22-22000020000-2-222-22-222-2-22-22-200-22-22000000002-22-200000000000000000000000000000000002i−2i2i−2i002i−2i2i−2i000000
χ622-2-222-2-22-22-22000020000-2-222-22-222-2-22-22-200-22-22000000002-22-20000000000000000000000000000000000−2i2i−2i2i00−2i2i−2i2i000000
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χ642-2-222-2-22-22-22000020000-2-222-22-2-2-222-22-2200-22-2200000000-22-220000000000000000000000000000000000-22-22002-22-2000000
χ652-2-2-2-22222-2-222-2-2220000-2-2-2-222222-2-2-22-22002-2-2200000000-2-2220000000000002-2-222-2-22000000000000000000000000000000
χ662-2-2-2-22222-2-222-2-2220000-2-2-2-2222-2-2222-22-2002-2-220000000022-2-20000000000002-2-22-222-2000000000000000000000000000000
χ672-2-2-2-22222-2-22-222-220000-2-2-2-222222-2-2-22-22002-2-2200000000-2-222000000000000-222-2-222-2000000000000000000000000000000
χ682-2-2-2-22222-2-22-222-220000-2-2-2-2222-2-2222-22-2002-2-220000000022-2-2000000000000-222-22-2-22000000000000000000000000000000
χ692-2-2-2-2222-222-2000020000-2-2-2-222222-2-2-22-2200-222-20000000022-2-200000000000000000000000000000000002i−2i−2i2i002i−2i−2i2i000000
χ702-2-2-2-2222-222-2000020000-2-2-2-222222-2-2-22-2200-222-20000000022-2-20000000000000000000000000000000000−2i2i2i−2i00−2i2i2i−2i000000
χ712-2-2-2-2222-222-2000020000-2-2-2-2222-2-2222-22-200-222-200000000-2-22200000000000000000000000000000000002-2-2200-222-2000000
χ722-2-2-2-2222-222-2000020000-2-2-2-2222-2-2222-22-200-222-200000000-2-2220000000000000000000000000000000000-222-2002-2-22000000
χ734444444444444444-14444-1-1-1-1-1-1-10000000044-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ744444444444444444-1-4-4-4-4-1-1-1-1-1-1-100000000-4-4-1-1-1-1111111110000000000001111-1-1-1-10000000000000000000000000000000000
χ75444444444444-4-4-4-4-14444-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000000000000000
χ76444444444444-4-4-4-4-1-4-4-4-4-1-1-1-1-1-1-10000000044-1-1-1-111111111000000000000-1-1-1-111110000000000000000000000000000000000
χ77444-4-4-4-4444-4-44i4i−4i−4i-14i4i−4i−4i-1-1111-11000000004-4-1-111−i−i−i−iiiii000000000000-1-111−i−iii0000000000000000000000000000000000
χ78444-4-4-4-4444-4-44i4i−4i−4i-1−4i−4i4i4i-1-1111-1100000000-44-1-111iiii−i−i−i−i00000000000011-1-1−i−iii0000000000000000000000000000000000
χ79444-4-4-4-4444-4-4−4i−4i4i4i-14i4i−4i−4i-1-1111-1100000000-44-1-111−i−i−i−iiiii00000000000011-1-1ii−i−i0000000000000000000000000000000000
χ80444-4-4-4-4444-4-4−4i−4i4i4i-1−4i−4i4i4i-1-1111-11000000004-4-1-111iiii−i−i−i−i000000000000-1-111ii−i−i0000000000000000000000000000000000
χ814-444-4-44-40000000040000-444-44-4-44i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ824-444-4-44-40000000040000-444-44-4-4−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ834-44-444-4-40000000040000-44-44-4-444i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ844-44-444-4-40000000040000-44-44-4-44−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ854-4-444-4-444-44-44i−4i4i−4i-1000011-1-11-110000000000-11-11i5−i5i5−i5i5−i5i5−i50000000000005−55−5−ii−ii0000000000000000000000000000000000
χ864-4-444-4-444-44-44i−4i4i−4i-1000011-1-11-110000000000-11-11−i5i5−i5i5−i5i5−i5i5000000000000−55−55−ii−ii0000000000000000000000000000000000
χ874-4-444-4-444-44-4−4i4i−4i4i-1000011-1-11-110000000000-11-11i5−i5i5−i5i5−i5i5−i5000000000000−55−55i−ii−i0000000000000000000000000000000000
χ884-4-444-4-444-44-4−4i4i−4i4i-1000011-1-11-110000000000-11-11−i5i5−i5i5−i5i5−i5i50000000000005−55−5i−ii−i0000000000000000000000000000000000
χ894-4-4-4-44444-4-444-4-44-100001111-1-1-10000000000-111-15−55−5−55−550000000000005−5−55-111-10000000000000000000000000000000000
χ904-4-4-4-44444-4-444-4-44-100001111-1-1-10000000000-111-1−55−555−55−5000000000000−555−5-111-10000000000000000000000000000000000
χ914-4-4-4-44444-4-44-444-4-100001111-1-1-10000000000-111-15−55−5−55−55000000000000−555−51-1-110000000000000000000000000000000000
χ924-4-4-4-44444-4-44-444-4-100001111-1-1-10000000000-111-1−55−555−55−50000000000005−5−551-1-110000000000000000000000000000000000
χ9388888888-8-8-8-80000-20000-2-2-2-2-2-2-20000000000222200000000000000000000000000000000000000000000000000000000000000
χ94888-8-8-8-88-8-8880000-20000-2-2222-22000000000022-2-200000000000000000000000000000000000000000000000000000000000000
χ9588-88-88-8-800000000-242−4242−42-22-2222-200000000000000−2−222−2−222000000000000000000000000000000000000000000000000000000
χ9688-88-88-8-800000000-2−4242−4242-22-2222-20000000000000022−2−222−2−2000000000000000000000000000000000000000000000000000000
χ9788-8-88-88-800000000-24i2−4i2−4i24i2-222-2-22200000000000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000000000000000000000000000
χ9888-8-88-88-800000000-2−4i24i24i2−4i2-222-2-22200000000000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000000000000000000000000000
χ998-888-8-88-800000000-200002-2-22-22200000000000000i10−i10−i10i10i10−i10−i10i10000000000000000000000000000000000000000000000000000000
χ1008-888-8-88-800000000-200002-2-22-22200000000000000−i10i10i10−i10−i10i10i10−i10000000000000000000000000000000000000000000000000000000
χ1018-88-888-8-800000000-200002-22-222-20000000000000010−10−1010−101010−10000000000000000000000000000000000000000000000000000000
χ1028-88-888-8-800000000-200002-22-222-200000000000000−101010−1010−10−1010000000000000000000000000000000000000000000000000000000
χ1038-8-888-8-88-88-880000-2000022-2-22-2200000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-8-8888-888-80000-200002222-2-2-200000000002-2-2200000000000000000000000000000000000000000000000000000000000000

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