Finite Group Databasebeta

← Group #13022309

Character table — Group #13022309

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12224444224444445888810101020202020222244442410102020202020202020202022448888888810102020404040404444444444448888888888888888248888
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-1-1-1-1ii−i−iiiii−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−iii−i−i−i−iiiii-1-1−i−iii
χ511111111111111111-1-1-1-1111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111ii−i−iiiii−i−i−i−i11−i−iii
χ811111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111−i−iii−i−i−i−iiiii11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111111111iiii−i−i−i−i-1-1-1-1ii−i−i−i−i−i−iiiii11−i−iii
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111111111−i−i−i−iiiii-1-1-1-1−i−iiiiiii−i−i−i−i11ii−i−i
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
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
χ171111-1-1-1-1-1-111ii−i−i1ii−i−i111-1-1-1-11111-1-1-1-11-1-1-111iiii−i−i−i−i-1-111ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−ii−ii−i11-1-111-1-11-1i−ii−i
χ181111-1-1-1-1-1-111ii−i−i1ii−i−i111-1-1-1-11111-1-1-1-11-1-1-111iiii−i−i−i−i-1-111−i−iii−i−iii11-1-1ii−i−iii−i−i-1-111-1-111ii−i−i−ii−ii-1-111-1-1111-1−ii−ii
χ191111-1-1-1-1-1-111ii−i−i1ii−i−i111-1-1-1-1-1-1-1-111111-1-1-111iiii−i−i−i−i11-1-111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iii1-1-11−i−iiiii−i−i-111-1-11
χ201111-1-1-1-1-1-111ii−i−i1ii−i−i111-1-1-1-1-1-1-1-111111-1-1-111iiii−i−i−i−i11-1-1-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iii-111-1ii−i−i−i−iii-11-111-1
χ211111-1-1-1-1-1-111ii−i−i1−i−iii111-1-1-1-11111-1-1-1-1-11-1-111iiii−i−i−i−i-1-111ii−i−iii−i−i-1-111−i−iiiii−i−i-1-111-1-111−i−iiii−ii−i11-1-111-1-1-11−ii−ii
χ221111-1-1-1-1-1-111ii−i−i1−i−iii111-1-1-1-11111-1-1-1-1-11-1-111iiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−iiiii−i−i11-1-111-1-1−i−iii−ii−ii-1-111-1-111-11i−ii−i
χ231111-1-1-1-1-1-111ii−i−i1−i−iii111-1-1-1-1-1-1-1-11111-11-1-111iiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−i−i−iiiii−i−i1-1-11−i−iiiii−i−i1-1-111-1
χ241111-1-1-1-1-1-111ii−i−i1−i−iii111-1-1-1-1-1-1-1-11111-11-1-111iiii−i−i−i−i11-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−iiiii−i−iii−i−i-111-1ii−i−i−i−iii1-11-1-11
χ251111-1-1-1-1-1-111−i−iii1ii−i−i111-1-1-1-11111-1-1-1-1-11-1-111−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111ii−i−i−i−iii11-1-111-1-1ii−i−ii−ii−i-1-111-1-111-11−ii−ii
χ261111-1-1-1-1-1-111−i−iii1ii−i−i111-1-1-1-11111-1-1-1-1-11-1-111−i−i−i−iiiii-1-111−i−iii−i−iii-1-111ii−i−i−i−iii-1-111-1-111ii−i−i−ii−ii11-1-111-1-1-11i−ii−i
χ271111-1-1-1-1-1-111−i−iii1ii−i−i111-1-1-1-1-1-1-1-11111-11-1-111−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iiiii−i−i−i−iii1-1-11ii−i−i−i−iii1-1-111-1
χ281111-1-1-1-1-1-111−i−iii1ii−i−i111-1-1-1-1-1-1-1-11111-11-1-111−i−i−i−iiiii11-1-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−i−i−iii−i−iii-111-1−i−iiiii−i−i1-11-1-11
χ291111-1-1-1-1-1-111−i−iii1−i−iii111-1-1-1-11111-1-1-1-11-1-1-111−i−i−i−iiiii-1-111ii−i−iii−i−i11-1-1−i−iii−i−iii-1-111-1-111−i−iiii−ii−i-1-111-1-1111-1i−ii−i
χ301111-1-1-1-1-1-111−i−iii1−i−iii111-1-1-1-11111-1-1-1-11-1-1-111−i−i−i−iiiii-1-111−i−iii−i−iii11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−ii−ii11-1-111-1-11-1−ii−ii
χ311111-1-1-1-1-1-111−i−iii1−i−iii111-1-1-1-1-1-1-1-111111-1-1-111−i−i−i−iiiii11-1-111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i1-1-11ii−i−i−i−iii-111-1-11
χ321111-1-1-1-1-1-111−i−iii1−i−iii111-1-1-1-1-1-1-1-111111-1-1-111−i−i−i−iiiii11-1-1-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i-111-1−i−iiiii−i−i-11-111-1
χ3322222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-222222222000000000000000000000000-2-2-2-200000000000000
χ3422222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222200000000000000
χ3522222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-20000000022222i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i00000000000000
χ3622222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-2000000002222−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i00000000000000
χ372222-2-2-2-222-2-2000020000222-2-2-2-22222-2-2-2-20022-2-20000000022-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i00000000000000
χ382222-2-2-2-222-2-2000020000222-2-2-2-22222-2-2-2-20022-2-20000000022-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i00000000000000
χ392222-2-2-2-222-2-2000020000222-2-2-2-2-2-2-2-222220022-2-200000000-2-22222-2-2-2-222000000000000000000000000-222-200000000000000
χ402222-2-2-2-222-2-2000020000222-2-2-2-2-2-2-2-222220022-2-200000000-2-222-2-22222-2-20000000000000000000000002-2-2200000000000000
χ4122-2-22i−2i2i−2i00001+i−1−i1−i−1+i200002-2-22i−2i2i−2i2-22-22i2i−2i−2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000001+i−1−i1−i−1+i00000000000000002−2i2−i22−2i2−i2000000
χ4222-2-22i−2i2i−2i00001+i−1−i1−i−1+i200002-2-22i−2i2i−2i2-22-22i2i−2i−2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000001+i−1−i1−i−1+i0000000000000000−22−i2i2−22−i2i2000000
χ4322-2-22i−2i2i−2i00001+i−1−i1−i−1+i200002-2-22i−2i2i−2i-22-22−2i−2i2i2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−1−i1+i−1+i1−i0000000000000000i2−i2−22−i2i22−2000000
χ4422-2-22i−2i2i−2i00001+i−1−i1−i−1+i200002-2-22i−2i2i−2i-22-22−2i−2i2i2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−1−i1+i−1+i1−i0000000000000000−i2i22−2i2−i2−22000000
χ4522-2-22i−2i2i−2i0000−1−i1+i−1+i1−i200002-2-22i−2i2i−2i2-22-22i2i−2i−2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000−1−i1+i−1+i1−i0000000000000000−22−i2i2−22−i2i2000000
χ4622-2-22i−2i2i−2i0000−1−i1+i−1+i1−i200002-2-22i−2i2i−2i2-22-22i2i−2i−2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000−1−i1+i−1+i1−i00000000000000002−2i2−i22−2i2−i2000000
χ4722-2-22i−2i2i−2i0000−1−i1+i−1+i1−i200002-2-22i−2i2i−2i-22-22−2i−2i2i2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000001+i−1−i1−i−1+i0000000000000000−i2i22−2i2−i2−22000000
χ4822-2-22i−2i2i−2i0000−1−i1+i−1+i1−i200002-2-22i−2i2i−2i-22-22−2i−2i2i2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000001+i−1−i1−i−1+i0000000000000000i2−i2−22−i2i22−2000000
χ4922-2-2−2i2i−2i2i00001−i−1+i1+i−1−i200002-2-2−2i2i−2i2i2-22-2−2i−2i2i2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000001−i−1+i1+i−1−i0000000000000000−22i2−i2−22i2−i2000000
χ5022-2-2−2i2i−2i2i00001−i−1+i1+i−1−i200002-2-2−2i2i−2i2i2-22-2−2i−2i2i2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000001−i−1+i1+i−1−i00000000000000002−2−i2i22−2−i2i2000000
χ5122-2-2−2i2i−2i2i00001−i−1+i1+i−1−i200002-2-2−2i2i−2i2i-22-222i2i−2i−2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000−1+i1−i−1−i1+i0000000000000000i2−i22−2−i2i2−22000000
χ5222-2-2−2i2i−2i2i00001−i−1+i1+i−1−i200002-2-2−2i2i−2i2i-22-222i2i−2i−2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000−1+i1−i−1−i1+i0000000000000000−i2i2−22i2−i22−2000000
χ5322-2-2−2i2i−2i2i0000−1+i1−i−1−i1+i200002-2-2−2i2i−2i2i2-22-2−2i−2i2i2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−1+i1−i−1−i1+i00000000000000002−2−i2i22−2−i2i2000000
χ5422-2-2−2i2i−2i2i0000−1+i1−i−1−i1+i200002-2-2−2i2i−2i2i2-22-2−2i−2i2i2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−1+i1−i−1−i1+i0000000000000000−22i2−i2−22i2−i2000000
χ5522-2-2−2i2i−2i2i0000−1+i1−i−1−i1+i200002-2-2−2i2i−2i2i-22-222i2i−2i−2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000001−i−1+i1+i−1−i0000000000000000−i2i2−22i2−i22−2000000
χ5622-2-2−2i2i−2i2i0000−1+i1−i−1−i1+i200002-2-2−2i2i−2i2i-22-222i2i−2i−2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000001−i−1+i1+i−1−i0000000000000000i2−i22−2−i2i2−22000000
χ572-2-2222-2-22-22-2000022i−2i2i−2i-2-2222-2-222-2-22-22-2002-22-2000000002-2-220000000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000000000
χ582-2-2222-2-22-22-2000022i−2i2i−2i-2-2222-2-2-2-222-22-22002-22-200000000-222-20000000000002i−2i2i−2i000000000000−2i2i−2i2i000000000000000000
χ592-2-2222-2-22-22-200002−2i2i−2i2i-2-2222-2-222-2-22-22-2002-22-2000000002-2-22000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000
χ602-2-2222-2-22-22-200002−2i2i−2i2i-2-2222-2-2-2-222-22-22002-22-200000000-222-2000000000000−2i2i−2i2i0000000000002i−2i2i−2i000000000000000000
χ612-2-2222-2-2-22-22000020000-2-2222-2-222-2-22-22-200-22-2200000000-222-2000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ622-2-2222-2-2-22-22000020000-2-2222-2-222-2-22-22-200-22-2200000000-222-200000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ632-2-2222-2-2-22-22000020000-2-2222-2-2-2-222-22-2200-22-22000000002-2-22000000000000000000002-22-2-22-220000000000000000000000
χ642-2-2222-2-2-22-22000020000-2-2222-2-2-2-222-22-2200-22-22000000002-2-2200000000000000000000-22-222-22-20000000000000000000000
χ652-2-22-2-2222-2-22000020000-2-22-2-22222-2-2-22-22002-2-22000000002-22-2000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ662-2-22-2-2222-2-22000020000-2-22-2-22222-2-2-22-22002-2-22000000002-22-200000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ672-2-22-2-2222-2-22000020000-2-22-2-222-2-2222-22-2002-2-2200000000-22-22000000000000000000002-2-22-222-20000000000000000000000
χ682-2-22-2-2222-2-22000020000-2-22-2-222-2-2222-22-2002-2-2200000000-22-2200000000000000000000-222-22-2-220000000000000000000000
χ692-2-22-2-222-222-2000022-2-22-2-22-2-22222-2-2-22-2200-222-200000000-22-220000000000002-2-220000000000002-2-22000000000000000000
χ702-2-22-2-222-222-2000022-2-22-2-22-2-222-2-2222-22-200-222-2000000002-22-20000000000002-2-22000000000000-222-2000000000000000000
χ712-2-22-2-222-222-200002-222-2-2-22-2-22222-2-2-22-2200-222-200000000-22-22000000000000-222-2000000000000-222-2000000000000000000
χ722-2-22-2-222-222-200002-222-2-2-22-2-222-2-2222-22-200-222-2000000002-22-2000000000000-222-20000000000002-2-22000000000000000000
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
χ744444444444444444-1-4-4-4-4-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000000000000000
χ75444444444444-4-4-4-4-14444-1-1-1-1-1-1-100000000-4-4-1-1-1-1111111110000000000001111-1-1-1-10000000000000000000000000000000000
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
χ774444-4-4-4-4-4-4444i4i−4i−4i-14i4i−4i−4i-1-1-11111000000004-411-1-1−i−i−i−iiiii000000000000-1-111−i−iii0000000000000000000000000000000000
χ784444-4-4-4-4-4-4444i4i−4i−4i-1−4i−4i4i4i-1-1-1111100000000-4411-1-1−i−i−i−iiiii00000000000011-1-1ii−i−i0000000000000000000000000000000000
χ794444-4-4-4-4-4-444−4i−4i4i4i-14i4i−4i−4i-1-1-1111100000000-4411-1-1iiii−i−i−i−i00000000000011-1-1−i−iii0000000000000000000000000000000000
χ804444-4-4-4-4-4-444−4i−4i4i4i-1−4i−4i4i4i-1-1-11111000000004-411-1-1iiii−i−i−i−i000000000000-1-111ii−i−i0000000000000000000000000000000000
χ814-44-44i−4i−4i4i0000000040000-44-44i−4i−4i4i4-4-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ824-44-44i−4i−4i4i0000000040000-44-44i−4i−4i4i-444-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ834-44-4−4i4i4i−4i0000000040000-44-4−4i4i4i−4i4-4-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ844-44-4−4i4i4i−4i0000000040000-44-4−4i4i4i−4i-444-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ854-4-4444-4-44-44-40000-14i−4i4i−4i11-1-1-1110000000000-11-11i5−i5i5−i5i5−i5i5−i50000000000005−55−5−ii−ii0000000000000000000000000000000000
χ864-4-4444-4-44-44-40000-14i−4i4i−4i11-1-1-1110000000000-11-11−i5i5−i5i5−i5i5−i5i5000000000000−55−55−ii−ii0000000000000000000000000000000000
χ874-4-4444-4-44-44-40000-1−4i4i−4i4i11-1-1-1110000000000-11-11i5−i5i5−i5i5−i5i5−i5000000000000−55−55i−ii−i0000000000000000000000000000000000
χ884-4-4444-4-44-44-40000-1−4i4i−4i4i11-1-1-1110000000000-11-11−i5i5−i5i5−i5i5−i5i50000000000005−55−5i−ii−i0000000000000000000000000000000000
χ894-4-44-4-444-444-40000-14-4-4411-111-1-100000000001-1-115−55−5−55−550000000000005−5−55-111-10000000000000000000000000000000000
χ904-4-44-4-444-444-40000-14-4-4411-111-1-100000000001-1-11−55−555−55−5000000000000−555−5-111-10000000000000000000000000000000000
χ914-4-44-4-444-444-40000-1-444-411-111-1-100000000001-1-115−55−5−55−55000000000000−555−51-1-110000000000000000000000000000000000
χ924-4-44-4-444-444-40000-1-444-411-111-1-100000000001-1-11−55−555−55−50000000000005−5−551-1-110000000000000000000000000000000000
χ9388888888-8-8-8-80000-20000-2-2-2-2-2-2-20000000000222200000000000000000000000000000000000000000000000000000000000000
χ948888-8-8-8-888-8-80000-20000-2-2-222220000000000-2-22200000000000000000000000000000000000000000000000000000000000000
χ9588-8-88i−8i8i−8i00004+4i−4−4i4−4i−4+4i-20000-222−2i2i−2i2i00000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000000000000000000000000000000000
χ9688-8-88i−8i8i−8i0000−4−4i4+4i−4+4i4−4i-20000-222−2i2i−2i2i000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000000000000000000000000000000000
χ9788-8-8−8i8i−8i8i00004−4i−4+4i4+4i−4−4i-20000-2222i−2i2i−2i00000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000000000000000000000000000000000
χ9888-8-8−8i8i−8i8i0000−4+4i4−4i−4−4i4+4i-20000-2222i−2i2i−2i000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000000000000000000000000000000000
χ998-88-88i−8i−8i8i00000000-200002-22−2i2i2i−2i00000000000000ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38000000000000000000000000000000000000000000000000000000
χ1008-88-88i−8i−8i8i00000000-200002-22−2i2i2i−2i00000000000000−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38000000000000000000000000000000000000000000000000000000
χ1018-88-8−8i8i8i−8i00000000-200002-222i−2i−2i2i00000000000000ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38000000000000000000000000000000000000000000000000000000
χ1028-88-8−8i8i8i−8i00000000-200002-222i−2i−2i2i00000000000000−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38ζ4+ζ6−ζ12+ζ14−ζ22−ζ28+ζ36−ζ38−ζ4−ζ6+ζ12−ζ14+ζ22+ζ28−ζ36+ζ38ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38−ζ4+ζ6+ζ12+ζ14−ζ22+ζ28−ζ36−ζ38ζ4−ζ6−ζ12−ζ14+ζ22−ζ28+ζ36+ζ38000000000000000000000000000000000000000000000000000000
χ1038-8-8888-8-8-88-880000-2000022-2-2-22200000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-8-8888-8-880000-2000022-222-2-20000000000-222-200000000000000000000000000000000000000000000000000000000000000

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