Finite Group Databasebeta

← Group #13022306

Character table — Group #13022306

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12224444224488885881010102020202022224444248810102020404040404040404022448888101020204040404044444444444444448888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1iiii−i−i−i−i−i−i−i−iiiii1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1−i−i−i−iiiiiiiii−i−i−i−i1111
χ9111111111111-1-1-1-11-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ10111111111111-1-1-1-11-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ11111111111111-1-1-1-11-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ12111111111111-1-1-1-11-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111
χ13111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ14111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11iiii−i−i−i−i−i−i−i−iiiii-1-111
χ15111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ16111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ171111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-11111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-111ii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−ii−iii−i−iii−i−i11-1-111-1-11-1i−i
χ181111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-11111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-111ii−i−i11-1-1ii−i−i-1-111-1-111−i−iii−i−iiii−i−i−iii−i−iii-1-111-1-1111-1i−i
χ191111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-11111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-111ii−i−i-1-111−i−iii11-1-111-1-1−i−iii−i−iiii−iii−i−iii−i−i-1-111-1-111-11−ii
χ201111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-11111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-111ii−i−i-1-111−i−iii-1-111-1-111ii−i−iii−i−ii−i−i−iii−i−iii11-1-111-1-1-11−ii
χ211111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-1-1-1-1-111111-1i−i-1-111iiii−i−i−i−i11-1-1−i−iii11-1-1ii−i−iii−i−i−i−iii-1-11111-1-1−ii-1-11111-1-1ii−i−i−i−iii-11−ii
χ221111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-1-1-1-1-111111-1i−i-1-111iiii−i−i−i−i11-1-1−i−iii11-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111−ii11-1-1-1-111−i−iiiii−i−i-11−ii
χ231111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-1-1-1-1-11111-11−ii-1-111iiii−i−i−i−i11-1-1−i−iii-1-111−i−iiiii−i−i−i−iii11-1-1-1-111−ii-1-11111-1-1−i−iiiii−i−i1-1i−i
χ241111-1-1-1-1-1-111ii−i−i1i−i111-1-1-1-1-1-1-1-11111-11−ii-1-111iiii−i−i−i−i11-1-1−i−iii-1-111−i−iii−i−iiiii−i−i-1-11111-1-1−ii11-1-1-1-111ii−i−i−i−iii1-1i−i
χ251111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-11111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-111−i−iii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii−ii−i−iii−i−iii11-1-111-1-11-1−ii
χ261111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-11111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-111−i−iii11-1-1−i−iii-1-111-1-111ii−i−iii−i−i−iiii−i−iii−i−i-1-111-1-1111-1−ii
χ271111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-11111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-111−i−iii-1-111ii−i−i11-1-111-1-1ii−i−iii−i−i−ii−i−iii−i−iii-1-111-1-111-11i−i
χ281111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-11111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-111−i−iii-1-111ii−i−i-1-111-1-111−i−iii−i−iii−iiii−i−iii−i−i11-1-111-1-1-11i−i
χ291111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-1-1-1-1-111111-1−ii-1-111−i−i−i−iiiii11-1-1ii−i−i11-1-1−i−iiiii−i−i−i−iii11-1-1-1-111i−i11-1-1-1-111ii−i−i−i−iii-11i−i
χ301111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-1-1-1-1-111111-1−ii-1-111−i−i−i−iiiii11-1-1ii−i−i11-1-1−i−iii−i−iiiii−i−i-1-11111-1-1i−i-1-11111-1-1−i−iiiii−i−i-11i−i
χ311111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-1-1-1-1-11111-11i−i-1-111−i−i−i−iiiii11-1-1ii−i−i-1-111ii−i−iii−i−i−i−iii-1-11111-1-1i−i11-1-1-1-111−i−iiiii−i−i1-1−ii
χ321111-1-1-1-1-1-111−i−iii1−ii111-1-1-1-1-1-1-1-11111-11i−i-1-111−i−i−i−iiiii11-1-1ii−i−i-1-111ii−i−i−i−iiiii−i−i11-1-1-1-111i−i-1-11111-1-1ii−i−i−i−iii1-1−ii
χ3322222222-2-2-2-222222-2-22222222222222220000-2-2-2-222-2-222-2-2-2-2-2-22222000000000000000000000000-2-200000000000000000000
χ3422222222-2-2-2-222222-2-22222222-2-2-2-2-2-2-2-20000-2-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000002200000000000000000000
χ3522222222-2-2-2-2-2-2-2-22222222222222222220000-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-20000000000000000000000002200000000000000000000
χ3622222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-20000-2-2-2-2-2-222-2-22222222222000000000000000000000000-2-200000000000000000000
χ372222-2-2-2-222-2-22i2i−2i−2i2−2i2i222-2-2-2-22222-2-2-2-2000022-2-22i2i−2i−2i−2i−2i2i2i22-2-22i2i−2i−2i000000000000000000000000−2i2i00000000000000000000
χ382222-2-2-2-222-2-22i2i−2i−2i2−2i2i222-2-2-2-2-2-2-2-22222000022-2-22i2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i0000000000000000000000002i−2i00000000000000000000
χ392222-2-2-2-222-2-2−2i−2i2i2i22i−2i222-2-2-2-22222-2-2-2-2000022-2-2−2i−2i2i2i2i2i−2i−2i22-2-2−2i−2i2i2i0000000000000000000000002i−2i00000000000000000000
χ402222-2-2-2-222-2-2−2i−2i2i2i22i−2i222-2-2-2-2-2-2-2-22222000022-2-2−2i−2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i000000000000000000000000−2i2i00000000000000000000
χ4122-2-22i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392002-2-22i2i−2i−2i2-22-22i−2i2i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000002−2i2−i22−2i2−i20000
χ4222-2-22i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392002-2-22i2i−2i−2i2-22-22i−2i2i−2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000−22−i2i2−22−i2i20000
χ4322-2-22i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392002-2-22i2i−2i−2i-22-22−2i2i−2i2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000000000−i2i22−2i2−i2−220000
χ4422-2-22i2i−2i−2i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392002-2-22i2i−2i−2i-22-22−2i2i−2i2i00000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000000000i2−i2−22−i2i22−20000
χ4522-2-22i2i−2i−2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392002-2-22i2i−2i−2i2-22-22i−2i2i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000−22−i2i2−22−i2i20000
χ4622-2-22i2i−2i−2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392002-2-22i2i−2i−2i2-22-22i−2i2i−2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000002−2i2−i22−2i2−i20000
χ4722-2-22i2i−2i−2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392002-2-22i2i−2i−2i-22-22−2i2i−2i2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000000000i2−i2−22−i2i22−20000
χ4822-2-22i2i−2i−2i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392002-2-22i2i−2i−2i-22-22−2i2i−2i2i000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000000000−i2i22−2i2−i2−220000
χ4922-2-2−2i−2i2i2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372002-2-2−2i−2i2i2i2-22-2−2i2i−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000−22i2−i2−22i2−i20000
χ5022-2-2−2i−2i2i2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372002-2-2−2i−2i2i2i2-22-2−2i2i−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000002−2−i2i22−2−i2i20000
χ5122-2-2−2i−2i2i2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372002-2-2−2i−2i2i2i-22-222i−2i2i−2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000000000−i2i2−22i2−i22−20000
χ5222-2-2−2i−2i2i2i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372002-2-2−2i−2i2i2i-22-222i−2i2i−2i00000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000000000i2−i22−2−i2i2−220000
χ5322-2-2−2i−2i2i2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372002-2-2−2i−2i2i2i2-22-2−2i2i−2i2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000002−2−i2i22−2−i2i20000
χ5422-2-2−2i−2i2i2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372002-2-2−2i−2i2i2i2-22-2−2i2i−2i2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000−22i2−i2−22i2−i20000
χ5522-2-2−2i−2i2i2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372002-2-2−2i−2i2i2i-22-222i−2i2i−2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000000000i2−i22−2−i2i2−220000
χ5622-2-2−2i−2i2i2i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372002-2-2−2i−2i2i2i-22-222i−2i2i−2i000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000000000−i2i2−22i2−i22−20000
χ572-2-222-22-22-22-20000200-2-222-22-222-2-222-2-200002-22-2000000002-2-220000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ582-2-222-22-22-22-20000200-2-222-22-222-2-222-2-200002-22-2000000002-2-22000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ592-2-222-22-22-22-20000200-2-222-22-2-2-222-2-22200002-22-200000000-222-20000000000000000000000000000002-22-2-22-22000000000000
χ602-2-222-22-22-22-20000200-2-222-22-2-2-222-2-22200002-22-200000000-222-2000000000000000000000000000000-22-222-22-2000000000000
χ612-2-222-22-2-22-220000200-2-222-22-222-2-222-2-20000-22-2200000000-222-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ622-2-222-22-2-22-220000200-2-222-22-222-2-222-2-20000-22-2200000000-222-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ632-2-222-22-2-22-220000200-2-222-22-2-2-222-2-2220000-22-22000000002-2-220000000000002-22-2-22-22000000000000000000000000000000
χ642-2-222-22-2-22-220000200-2-222-22-2-2-222-2-2220000-22-22000000002-2-22000000000000-22-222-22-2000000000000000000000000000000
χ652-2-22-22-222-2-220000200-2-22-22-2222-2-2-2-22200002-2-22000000002-22-20000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ662-2-22-22-222-2-220000200-2-22-22-2222-2-2-2-22200002-2-22000000002-22-2000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ672-2-22-22-222-2-220000200-2-22-22-22-2-22222-2-200002-2-2200000000-22-220000000000002-2-22-222-2000000000000000000000000000000
χ682-2-22-22-222-2-220000200-2-22-22-22-2-22222-2-200002-2-2200000000-22-22000000000000-222-22-2-22000000000000000000000000000000
χ692-2-22-22-22-222-20000200-2-22-22-2222-2-2-2-2220000-222-200000000-22-220000000000000000000000000000002-2-222-2-22000000000000
χ702-2-22-22-22-222-20000200-2-22-22-2222-2-2-2-2220000-222-200000000-22-22000000000000000000000000000000-222-2-222-2000000000000
χ712-2-22-22-22-222-20000200-2-22-22-22-2-22222-2-20000-222-2000000002-22-20000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ722-2-22-22-22-222-20000200-2-22-22-22-2-22222-2-20000-222-2000000002-22-2000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ734444444444444444-144-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ744444444444444444-144-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000000000000000000000000000000000
χ75444444444444-4-4-4-4-1-4-4-1-1-1-1-1-1-10000000044-4-4-1-1-1-11111111100000000-1-1-1-1111100000000000000000000000000000000000000
χ76444444444444-4-4-4-4-1-4-4-1-1-1-1-1-1-100000000-4-444-1-1-1-111111111000000001111-1-1-1-100000000000000000000000000000000000000
χ7744444444-4-4-4-44444-1-4-4-1-1-1-1-1-1-10000000000001111-1-111-1-111000000005−55−55−55−500000000000000000000000000000000000000
χ7844444444-4-4-4-44444-1-4-4-1-1-1-1-1-1-10000000000001111-1-111-1-11100000000−55−55−55−5500000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-4-144-1-1-1-1-1-1-1000000000000111111-1-111-1-1000000005−55−5−55−5500000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-4-144-1-1-1-1-1-1-1000000000000111111-1-111-1-100000000−55−555−55−500000000000000000000000000000000000000
χ814444-4-4-4-444-4-44i4i−4i−4i-1−4i4i-1-1-11111000000000000-1-111−i−iiiii−i−i000000005−5−55i5−i5−i5i500000000000000000000000000000000000000
χ824444-4-4-4-444-4-44i4i−4i−4i-1−4i4i-1-1-11111000000000000-1-111−i−iiiii−i−i00000000−555−5−i5i5i5−i500000000000000000000000000000000000000
χ834444-4-4-4-444-4-4−4i−4i4i4i-14i−4i-1-1-11111000000000000-1-111ii−i−i−i−iii000000005−5−55−i5i5i5−i500000000000000000000000000000000000000
χ844444-4-4-4-444-4-4−4i−4i4i4i-14i−4i-1-1-11111000000000000-1-111ii−i−i−i−iii00000000−555−5i5−i5−i5i500000000000000000000000000000000000000
χ854444-4-4-4-4-4-4444i4i−4i−4i-14i−4i-1-1-11111000000004-44i−4i11-1-1−i−i−i−iiiii00000000-1-111−i−iii00000000000000000000000000000000000000
χ864444-4-4-4-4-4-4444i4i−4i−4i-14i−4i-1-1-1111100000000-44−4i4i11-1-1−i−i−i−iiiii0000000011-1-1ii−i−i00000000000000000000000000000000000000
χ874444-4-4-4-4-4-444−4i−4i4i4i-1−4i4i-1-1-11111000000004-4−4i4i11-1-1iiii−i−i−i−i00000000-1-111ii−i−i00000000000000000000000000000000000000
χ884444-4-4-4-4-4-444−4i−4i4i4i-1−4i4i-1-1-1111100000000-444i−4i11-1-1iiii−i−i−i−i0000000011-1-1−i−iii00000000000000000000000000000000000000
χ894-44-44i−4i−4i4i00000000400-44-44i−4i−4i4i4-4-444i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-44i−4i−4i4i00000000400-44-44i−4i−4i4i-444-4−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-4−4i4i4i−4i00000000400-44-4−4i4i4i−4i4-4-44−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-4−4i4i4i−4i00000000400-44-4−4i4i4i−4i-444-44i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-88i8i−8i−8i0000−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ37−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39-200-222−2i−2i2i2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000
χ9488-8-88i8i−8i−8i00008ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ378ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ39-200-222−2i−2i2i2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000
χ9588-8-8−8i−8i8i8i0000−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ37-200-2222i2i−2i−2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000000000000000000000000000000000000000
χ9688-8-8−8i−8i8i8i00008ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ37-200-2222i2i−2i−2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000000000000000000000000000000000000000
χ978-88-88i−8i−8i8i00000000-2002-22−2i2i2i−2i000000000000000000−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ39002ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ37000000000000000000000000000000000000000000000000000000
χ988-88-88i−8i−8i8i00000000-2002-22−2i2i2i−2i0000000000000000002ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ3900−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ37000000000000000000000000000000000000000000000000000000
χ998-88-8−8i8i8i−8i00000000-2002-222i−2i−2i2i0000000000000000002ζ13−2ζ21−2ζ29+2ζ37−2ζ13+2ζ21+2ζ29−2ζ3700−2ζ7−2ζ23+2ζ31+2ζ392ζ7+2ζ23−2ζ31−2ζ39000000000000000000000000000000000000000000000000000000
χ1008-88-8−8i8i8i−8i00000000-2002-222i−2i−2i2i000000000000000000−2ζ13+2ζ21+2ζ29−2ζ372ζ13−2ζ21−2ζ29+2ζ37002ζ7+2ζ23−2ζ31−2ζ39−2ζ7−2ζ23+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000
χ1018-8-888-88-88-88-80000-20022-2-22-22000000000000-22-2200000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-88-8-88-880000-20022-2-22-220000000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-88-888-8-880000-20022-22-22-2000000000000-222-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-88-88-888-80000-20022-22-22-20000000000002-2-2200000000000000000000000000000000000000000000000000000000000000

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