Finite Group Databasebeta

← Group #72221235

Character table — Group #72221235

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222444444448888888888888888888888888888888888888888888820202020202020202525252525252525252525255050505050505050505050505050505050508080808080808080100100100100100100100100
order1244244444551010202020205510101010101010102020202020202020202020202020202020202020202020202020202020202020202022448888224488888888244444888888888888101020204040404044448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1-11-111-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii1-11-111-1-1−i−iii−i−iii
χ511111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-11-11-1-111−i−iii−i−iii
χ611111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-11-11-1-111ii−i−iii−i−i
χ711111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ10111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ11111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1iiii−i−i−i−i-11111-1ii−i−i−i−i−i−iiiii1-11-1-1-111−i−iiiii−i−i
χ12111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1−i−i−i−iiiii-11111-1−i−iiiiiii−i−i−i−i1-11-1-1-111ii−i−i−i−iii
χ13111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1iiii−i−i−i−i-11111-1ii−i−i−i−i−i−iiiii-11-1111-1-1ii−i−i−i−iii
χ14111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1−i−i−i−iiiii-11111-1−i−iiiiiii−i−i−i−i-11-1111-1-1−i−iiiii−i−i
χ15111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ16111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ1711-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1i−ii−i11-1-1ii−i−iii−i−i-1ii−i−i1i−ii−i11-1-111-1-111-1-1i−ii−i1-11-1i−ii−i
χ1811-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1i−ii−i11-1-1−i−iii−i−iii-1ii−i−i1−ii−ii-1-111-1-11111-1-1i−ii−i-11-11−ii−ii
χ1911-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1-1-11i−i−ii-1-11111-1-1-1-1111−i−iii-11-1-11−i−iiiii−i−i1-1-11i−i−ii−iii−i1-1-11
χ2011-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1-1-11i−i−ii-1-111-1-11111-1-11−i−iii-1-111-1ii−i−i−i−iii1-1-11i−i−iii−i−ii-111-1
χ2111-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-111-1−iii−i-1-11111-1-1-1-1111−i−iii-11-1-11−i−iiiii−i−i-111-1−iii−ii−i−ii-111-1
χ2211-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-111-1−iii−i-1-111-1-11111-1-11−i−iii-1-111-1ii−i−i−i−iii-111-1−iii−i−iii−i1-1-11
χ2311-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111−ii−ii11-1-1ii−i−iii−i−i-1ii−i−i1i−ii−i11-1-111-1-1-1-111−ii−ii-11-11−ii−ii
χ2411-1-1-11ii−i−i1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111−ii−ii11-1-1−i−iii−i−iii-1ii−i−i1−ii−ii-1-111-1-111-1-111−ii−ii1-11-1i−ii−i
χ2511-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−ii−ii11-1-1ii−i−iii−i−i-1−i−iii1i−ii−i-1-111-1-11111-1-1−ii−ii-11-11i−ii−i
χ2611-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−ii−ii11-1-1−i−iii−i−iii-1−i−iii1−ii−ii11-1-111-1-111-1-1−ii−ii1-11-1−ii−ii
χ2711-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1-1-11−iii−i-1-11111-1-1-1-1111ii−i−i-11-1-11ii−i−i−i−iii1-1-11−iii−ii−i−ii1-1-11
χ2811-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1-1-11−iii−i-1-111-1-11111-1-11ii−i−i-1-111-1−i−iiiii−i−i1-1-11−iii−i−iii−i-111-1
χ2911-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-111-1i−i−ii-1-11111-1-1-1-1111ii−i−i-11-1-11ii−i−i−i−iii-111-1i−i−ii−iii−i-111-1
χ3011-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-111-1i−i−ii-1-111-1-11111-1-11ii−i−i-1-111-1−i−iiiii−i−i-111-1i−i−iii−i−ii1-1-11
χ3111-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111i−ii−i11-1-1ii−i−iii−i−i-1−i−iii1i−ii−i-1-111-1-111-1-111i−ii−i1-11-1−ii−ii
χ3211-1-1-11−i−iii1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111i−ii−i11-1-1−i−iii−i−iii-1−i−iii1−ii−ii11-1-111-1-1-1-111i−ii−i-11-11i−ii−i
χ332222-2-200002222222222-2-222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000222222222222-20000-2-2-2-2-2000000000000000000000000
χ342222-2-200002222222222-2-222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000002222-2-2-2-2-2-2-2-2-20000-22222000000000000000000000000
χ352222-2-200002222222222-2-222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-22i2i2i2i−2i−2i−2i−2i200002−2i−2i2i2i000000000000000000000000
χ362222-2-200002222222222-2-222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-2−2i−2i−2i−2i2i2i2i2i2000022i2i−2i−2i000000000000000000000000
χ3722-2-22-200002222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-22i2i−2i−2i2i2i−2i−2i20000-2−2i2i−2i2i000000000000000000000000
χ3822-2-22-200002222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2−2i−2i2i2i−2i−2i2i2i20000-22i−2i2i−2i000000000000000000000000
χ3922-2-22-200002222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22222-2-2-2-222-200002-222-2000000000000000000000000
χ4022-2-22-200002222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-2-22222-2-2-2000022-2-22000000000000000000000000
χ412-22i−2i001+i−1−i1−i−1+i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i000000002-22i−2i−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+2ζ3901+i−1−i1−i−1+i000002−2i2−i22−2i2−i20000000000000000
χ422-22i−2i001+i−1−i1−i−1+i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i000000002-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3901+i−1−i1−i−1+i00000−22−i2i2−22−i2i20000000000000000
χ432-22i−2i001+i−1−i1−i−1+i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i00000000-22−2i2i−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+2ζ370−1−i1+i−1+i1−i00000i2−i2−22−i2i22−20000000000000000
χ442-22i−2i001+i−1−i1−i−1+i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i00000000-22−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370−1−i1+i−1+i1−i00000−i2i22−2i2−i2−220000000000000000
χ452-22i−2i00−1−i1+i−1+i1−i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i000000002-22i−2i−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+2ζ390−1−i1+i−1+i1−i00000−22−i2i2−22−i2i20000000000000000
χ462-22i−2i00−1−i1+i−1+i1−i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i000000002-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390−1−i1+i−1+i1−i000002−2i2−i22−2i2−i20000000000000000
χ472-22i−2i00−1−i1+i−1+i1−i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i00000000-22−2i2i−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+2ζ3701+i−1−i1−i−1+i00000−i2i22−2i2−i2−220000000000000000
χ482-22i−2i00−1−i1+i−1+i1−i22-2-22i2i−2i−2i2200-2-200000000002i2i−2i−2i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i00000000-22−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3701+i−1−i1−i−1+i00000i2−i2−22−i2i22−20000000000000000
χ492-2−2i2i001−i−1+i1+i−1−i22-2-2−2i−2i2i2i2200-2-20000000000−2i−2i2i2i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i000000002-2−2i2i−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+2ζ3701−i−1+i1+i−1−i00000−22i2−i2−22i2−i20000000000000000
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χ1028-88i−8i00−4−4i4+4i−4+4i4−4i-2-222−2i−2i2i2i3-200-32−55−252500−i5i5−2i52i53i−2i−3i2i1+i1+i−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ382ζ6+2ζ12+2ζ14+2ζ282ζ4+2ζ22+2ζ36+2ζ38−1−i−1−i2ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ38−2ζ6−2ζ12−2ζ14−2ζ28−2ζ4−2ζ22−2ζ36−2ζ381−i1−i−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ382ζ4−2ζ22+2ζ36−2ζ38−2ζ6+2ζ12−2ζ14+2ζ28−1+i−1+iζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38−2ζ4+2ζ22−2ζ36+2ζ382ζ6−2ζ12+2ζ14−2ζ28000000000000000000000000000000000000000000000000000000
χ1038-88i−8i00−4−4i4+4i−4+4i4−4i-2-222−2i−2i2i2i-23002-325−25−55002i5−2i5−i5i5−2i3i2i−3i1+i1+i2ζ4+2ζ22+2ζ36+2ζ382ζ6+2ζ12+2ζ14+2ζ28−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38−1−i−1−i−2ζ4−2ζ22−2ζ36−2ζ38−2ζ6−2ζ12−2ζ14−2ζ282ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ381−i1−i−2ζ6+2ζ12−2ζ14+2ζ282ζ4−2ζ22+2ζ36−2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−1+i−1+i2ζ6−2ζ12+2ζ14−2ζ28−2ζ4+2ζ22−2ζ36+2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38000000000000000000000000000000000000000000000000000000
χ1048-88i−8i00−4−4i4+4i−4+4i4−4i-2-222−2i−2i2i2i-23002-3−25255−500−2i52i5i5−i5−2i3i2i−3i1+i1+i2ζ6+2ζ12+2ζ14+2ζ282ζ4+2ζ22+2ζ36+2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−1−i−1−i−2ζ6−2ζ12−2ζ14−2ζ28−2ζ4−2ζ22−2ζ36−2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ382ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ381−i1−i2ζ4−2ζ22+2ζ36−2ζ38−2ζ6+2ζ12−2ζ14+2ζ28−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−1+i−1+i−2ζ4+2ζ22−2ζ36+2ζ382ζ6−2ζ12+2ζ14−2ζ282ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ38000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i004−4i−4+4i4+4i−4−4i8-2-82−8i2i8i−2i-2-2002200000000002i2i−2i−2i4−4i−1+i−1+i−1+i−1+i−1+i−4+4i1−i1−i1−i1−i1−i4+4i−1−i−1−i−1−i−1−i−1−i−4−4i1+i1+i1+i1+i1+i000000000000000000000000000000000000000000000000000000
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χ1078-8−8i8i004−4i−4+4i4+4i−4−4i-2-2222i2i−2i−2i3-200-325−525−2500−i5i5−2i52i5−3i2i3i−2i−1+i−1+iζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38−2ζ4+2ζ22−2ζ36+2ζ382ζ6−2ζ12+2ζ14−2ζ281−i1−i−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ382ζ4−2ζ22+2ζ36−2ζ38−2ζ6+2ζ12−2ζ14+2ζ28−1−i−1−i2ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ38−2ζ6−2ζ12−2ζ14−2ζ28−2ζ4−2ζ22−2ζ36−2ζ381+i1+i−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ382ζ6+2ζ12+2ζ14+2ζ282ζ4+2ζ22+2ζ36+2ζ38000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i004−4i−4+4i4+4i−4−4i-2-2222i2i−2i−2i3-200-32−55−252500i5−i52i5−2i5−3i2i3i−2i−1+i−1+i2ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ6−2ζ12+2ζ14−2ζ28−2ζ4+2ζ22−2ζ36+2ζ381−i1−i−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ6+2ζ12−2ζ14+2ζ282ζ4−2ζ22+2ζ36−2ζ38−1−i−1−iζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ382ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38−2ζ4−2ζ22−2ζ36−2ζ38−2ζ6−2ζ12−2ζ14−2ζ281+i1+i−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ382ζ4+2ζ22+2ζ36+2ζ382ζ6+2ζ12+2ζ14+2ζ28000000000000000000000000000000000000000000000000000000
χ1098-8−8i8i004−4i−4+4i4+4i−4−4i-2-2222i2i−2i−2i-23002-325−25−5500−2i52i5i5−i52i−3i−2i3i−1+i−1+i−2ζ4+2ζ22−2ζ36+2ζ382ζ6−2ζ12+2ζ14−2ζ282ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ381−i1−i2ζ4−2ζ22+2ζ36−2ζ38−2ζ6+2ζ12−2ζ14+2ζ28−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−1−i−1−i−2ζ6−2ζ12−2ζ14−2ζ28−2ζ4−2ζ22−2ζ36−2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ382ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ381+i1+i2ζ6+2ζ12+2ζ14+2ζ282ζ4+2ζ22+2ζ36+2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i004−4i−4+4i4+4i−4−4i-2-2222i2i−2i−2i-23002-3−25255−5002i5−2i5−i5i52i−3i−2i3i−1+i−1+i2ζ6−2ζ12+2ζ14−2ζ28−2ζ4+2ζ22−2ζ36+2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ381−i1−i−2ζ6+2ζ12−2ζ14+2ζ282ζ4−2ζ22+2ζ36−2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−1−i−1−i−2ζ4−2ζ22−2ζ36−2ζ38−2ζ6−2ζ12−2ζ14−2ζ282ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ381+i1+i2ζ4+2ζ22+2ζ36+2ζ382ζ6+2ζ12+2ζ14+2ζ28−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i00−4+4i4−4i−4−4i4+4i8-2-82−8i2i8i−2i-2-2002200000000002i2i−2i−2i−4+4i1−i1−i1−i1−i1−i4−4i−1+i−1+i−1+i−1+i−1+i−4−4i1+i1+i1+i1+i1+i4+4i−1−i−1−i−1−i−1−i−1−i000000000000000000000000000000000000000000000000000000
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χ1138-8−8i8i00−4+4i4−4i−4−4i4+4i-2-2222i2i−2i−2i3-200-325−525−2500−i5i5−2i52i5−3i2i3i−2i1−i1−i−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ382ζ4−2ζ22+2ζ36−2ζ38−2ζ6+2ζ12−2ζ14+2ζ28−1+i−1+iζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38−2ζ4+2ζ22−2ζ36+2ζ382ζ6−2ζ12+2ζ14−2ζ281+i1+i−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ382ζ6+2ζ12+2ζ14+2ζ282ζ4+2ζ22+2ζ36+2ζ38−1−i−1−i2ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ38−2ζ6−2ζ12−2ζ14−2ζ28−2ζ4−2ζ22−2ζ36−2ζ38000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i00−4+4i4−4i−4−4i4+4i-2-2222i2i−2i−2i3-200-32−55−252500i5−i52i5−2i5−3i2i3i−2i1−i1−i−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ6+2ζ12−2ζ14+2ζ282ζ4−2ζ22+2ζ36−2ζ38−1+i−1+i2ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ6−2ζ12+2ζ14−2ζ28−2ζ4+2ζ22−2ζ36+2ζ381+i1+i−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ382ζ4+2ζ22+2ζ36+2ζ382ζ6+2ζ12+2ζ14+2ζ28−1−i−1−iζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ382ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38−2ζ4−2ζ22−2ζ36−2ζ38−2ζ6−2ζ12−2ζ14−2ζ28000000000000000000000000000000000000000000000000000000
χ1158-8−8i8i00−4+4i4−4i−4−4i4+4i-2-2222i2i−2i−2i-23002-325−25−5500−2i52i5i5−i52i−3i−2i3i1−i1−i2ζ4−2ζ22+2ζ36−2ζ38−2ζ6+2ζ12−2ζ14+2ζ28−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−1+i−1+i−2ζ4+2ζ22−2ζ36+2ζ382ζ6−2ζ12+2ζ14−2ζ282ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ381+i1+i2ζ6+2ζ12+2ζ14+2ζ282ζ4+2ζ22+2ζ36+2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−1−i−1−i−2ζ6−2ζ12−2ζ14−2ζ28−2ζ4−2ζ22−2ζ36−2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ382ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38000000000000000000000000000000000000000000000000000000
χ1168-8−8i8i00−4+4i4−4i−4−4i4+4i-2-2222i2i−2i−2i-23002-3−25255−5002i5−2i5−i5i52i−3i−2i3i1−i1−i−2ζ6+2ζ12−2ζ14+2ζ282ζ4−2ζ22+2ζ36−2ζ38−ζ4+2ζ6−2ζ12+2ζ14+ζ22−2ζ28−ζ36+ζ38−2ζ4+ζ6−ζ12+ζ14+2ζ22−ζ28−2ζ36+2ζ38−1+i−1+i2ζ6−2ζ12+2ζ14−2ζ28−2ζ4+2ζ22−2ζ36+2ζ38ζ4−2ζ6+2ζ12−2ζ14−ζ22+2ζ28+ζ36−ζ382ζ4−ζ6+ζ12−ζ14−2ζ22+ζ28+2ζ36−2ζ381+i1+i2ζ4+2ζ22+2ζ36+2ζ382ζ6+2ζ12+2ζ14+2ζ28−2ζ4−ζ6−ζ12−ζ14−2ζ22−ζ28−2ζ36−2ζ38−ζ4−2ζ6−2ζ12−2ζ14−ζ22−2ζ28−ζ36−ζ38−1−i−1−i−2ζ4−2ζ22−2ζ36−2ζ38−2ζ6−2ζ12−2ζ14−2ζ282ζ4+ζ6+ζ12+ζ14+2ζ22+ζ28+2ζ36+2ζ38ζ4+2ζ6+2ζ12+2ζ14+ζ22+2ζ28+ζ36+ζ38000000000000000000000000000000000000000000000000000000

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