Finite Group Databasebeta

← Group #12014451

Character table — Group #12014451

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444444444445555888888888888888888888888888888101016161616161616161616161616161616161616162020202020202020202040404040404040404040
order1244245510102020202022244488881010202088884444444488101010101010202020202020404040404040404088202020202020202020202020202020204040404022448888884488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ9111111111111111-1-11-1-1111111111111ii−i−iii−i−i-1-111-1-1-1-111-1-1-1-11111111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−i
χ10111111111111111-1-11-1-1111111111111−i−iii−i−iii-1-111-1-1-1-111-1-1-1-11111111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii
χ11111111111111111-1-11-1-111111111-1-1-1-1ii−i−iii−i−i-1-111-1-1-1-111-1-1-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1111111−i−iii−i−iii
χ12111111111111111-1-11-1-111111111-1-1-1-1−i−iii−i−iii-1-111-1-1-1-111-1-1-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1111111ii−i−iii−i−i
χ13111111111111111-1-11-1-1-1-1-1-111111111ii−i−i−i−iii1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111-1-1-1-111ii−i−i−i−iii
χ14111111111111111-1-11-1-1-1-1-1-111111111−i−iiiii−i−i1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i
χ15111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11111111-1-11111-1-1−i−iiiii−i−i
χ16111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11111111-1-11111-1-1ii−i−i−i−iii
χ1711-1-11-11111-1-1-1-111-1-11-1ii−i−i11-1-1ii−i−i1-11-1i−ii−ii−i1111-1-1-1-111-1-1iiii−i−i−i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1i−iii−i−i1-1i−ii−i1-11-1
χ1811-1-11-11111-1-1-1-111-1-11-1ii−i−i11-1-1ii−i−i-11-11−ii−iii−i1111-1-1-1-111-1-1iiii−i−i−i−ii−i-1-111-1-111−i−iii−i−iiiii−i−i11-1-1i−iii−i−i1-1−ii−ii-11-11
χ1911-1-11-11111-1-1-1-111-1-11-1ii−i−i11-1-1−i−iii1-11-1i−ii−ii−i1111-1-1-1-111-1-1iiii−i−i−i−i−ii11-1-111-1-1ii−i−iii−i−iii−i−i-1-111−ii−i−iii-11−ii−ii-11-11
χ2011-1-11-11111-1-1-1-111-1-11-1ii−i−i11-1-1−i−iii-11-11−ii−iii−i1111-1-1-1-111-1-1iiii−i−i−i−i−ii-1-111-1-111−i−iii−i−iiiii−i−i-1-111−ii−i−iii-11i−ii−i1-11-1
χ2111-1-11-11111-1-1-1-111-1-11-1−i−iii11-1-1ii−i−i1-11-1−ii−ii−ii1111-1-1-1-111-1-1−i−i−i−iiiiii−i11-1-111-1-1−i−iii−i−iii−i−iii-1-111i−iii−i−i-11i−ii−i-11-11
χ2211-1-11-11111-1-1-1-111-1-11-1−i−iii11-1-1ii−i−i-11-11i−ii−i−ii1111-1-1-1-111-1-1−i−i−i−iiiiii−i-1-111-1-111ii−i−iii−i−i−i−iii-1-111i−iii−i−i-11−ii−ii1-11-1
χ2311-1-11-11111-1-1-1-111-1-11-1−i−iii11-1-1−i−iii1-11-1−ii−ii−ii1111-1-1-1-111-1-1−i−i−i−iiiii−ii11-1-111-1-1−i−iii−i−iii−i−iii11-1-1−ii−i−iii1-1−ii−ii1-11-1
χ2411-1-11-11111-1-1-1-111-1-11-1−i−iii11-1-1−i−iii-11-11i−ii−i−ii1111-1-1-1-111-1-1−i−i−i−iiiii−ii-1-111-1-111ii−i−iii−i−i−i−iii11-1-1−ii−i−iii1-1i−ii−i-11-11
χ2511-1-11-11111-1-1-1-11-11-1-11ii−i−i11-1-1ii−i−ii−i−ii-111-1−ii11-1-111-1-1-1-111iiii−i−i−i−ii−iii−i−i−i−iii-1-11111-1-1−i−iii11-1-1i−i−i−iii-11-111-1i−i−ii
χ2611-1-11-11111-1-1-1-11-11-1-11ii−i−i11-1-1ii−i−i−iii−i1-1-11−ii11-1-111-1-1-1-111iiii−i−i−i−ii−i−i−iiiii−i−i11-1-1-1-111−i−iii11-1-1i−i−i−iii-111-1-11−iii−i
χ2711-1-11-11111-1-1-1-11-11-1-11ii−i−i11-1-1−i−iiii−i−ii-111-1−ii11-1-111-1-1-1-111iiii−i−i−i−i−iiii−i−i−i−iii-1-11111-1-1−i−iii-1-111−iiii−i−i1-11-1-11−iii−i
χ2811-1-11-11111-1-1-1-11-11-1-11ii−i−i11-1-1−i−iii−iii−i1-1-11−ii11-1-111-1-1-1-111iiii−i−i−i−i−ii−i−iiiii−i−i11-1-1-1-111−i−iii-1-111−iiii−i−i1-1-111-1i−i−ii
χ2911-1-11-11111-1-1-1-11-11-1-11−i−iii11-1-1ii−i−ii−i−ii1-1-11i−i11-1-111-1-1-1-111−i−i−i−iiiiii−iii−i−i−i−iii11-1-1-1-111ii−i−i-1-111i−i−i−iii1-1-111-1−iii−i
χ3011-1-11-11111-1-1-1-11-11-1-11−i−iii11-1-1ii−i−i−iii−i-111-1i−i11-1-111-1-1-1-111−i−i−i−iiiiii−i−i−iiiii−i−i-1-11111-1-1ii−i−i-1-111i−i−i−iii1-11-1-11i−i−ii
χ3111-1-11-11111-1-1-1-11-11-1-11−i−iii11-1-1−i−iiii−i−ii1-1-11i−i11-1-111-1-1-1-111−i−i−i−iiiii−iiii−i−i−i−iii11-1-1-1-111ii−i−i11-1-1−iiii−i−i-111-1-11i−i−ii
χ3211-1-11-11111-1-1-1-11-11-1-11−i−iii11-1-1−i−iii−iii−i-111-1i−i11-1-111-1-1-1-111−i−i−i−iiiii−ii−i−iiiii−i−i-1-11111-1-1ii−i−i11-1-1−iiii−i−i-11-111-1−iii−i
χ3322222222222222-22-2-2-220000222222220000000000-2-222-2-2-2-2-2-2220000000022000000000000000000000000-2-22-22-20000000000
χ3422222222222222-22-2-2-2200002222-2-2-2-20000000000-2-222-2-2-2-2-2-22200000000-2-200000000000000000000000022-22-220000000000
χ3522222222222222-2-22-22-20000222222220000000000-2-2-2-222-2-222-2-20000000022000000000000000000000000-2-2-22-220000000000
χ3622222222222222-2-22-22-200002222-2-2-2-20000000000-2-2-2-222-2-222-2-200000000-2-2000000000000000000000000222-22-20000000000
χ37222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1−5200002222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ38222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1−520000-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ39222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+52−1−52−1+52−1−5200002222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ40222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+52−1−52−1+52−1−520000-2-2-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ41222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-22222−1+52−1−52−1+52−1−5200002i2i−2i−2i2i2i−2i−2i-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ141−521+521−521+5200000000000000000000
χ42222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-22222−1+52−1−52−1+52−1−520000−2i−2i2i2i−2i−2i2i2i-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ141−521+521−521+5200000000000000000000
χ43222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2-2-2-2-2−1+52−1−52−1+52−1−5200002i2i−2i−2i−2i−2i2i2i22−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+5200−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1−52−1+52−1−5200000000000000000000
χ44222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2-2-2-2-2−1+52−1−52−1+52−1−520000−2i−2i2i2i2i2i−2i−2i22−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+5200ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−1+52−1−52−1+52−1−5200000000000000000000
χ45222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1+5200002222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ46222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1+520000-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ47222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+5200002222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ48222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+520000-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ49222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-22222−1−52−1+52−1−52−1+5200002i2i−2i−2i2i2i−2i−2i-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ381+521−521+521−5200000000000000000000
χ50222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-22222−1−52−1+52−1−52−1+520000−2i−2i2i2i−2i−2i2i2i-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ381+521−521+521−5200000000000000000000
χ51222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-2-2-2-2-2−1−52−1+52−1−52−1+5200002i2i−2i−2i−2i−2i2i2i22−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−5200−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−1−52−1+52−1−52−1+5200000000000000000000
χ52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-2-2-2-2-2−1−52−1+52−1−52−1+520000−2i−2i2i2i2i2i−2i−2i22−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−5200ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−1−52−1+52−1−52−1+5200000000000000000000
χ5322-2-22-22222-2-2-2-2-2222-2-2000022-2-22i2i−2i−2i0000000000-2-2222222-2-2-2-2000000002i−2i000000000000000000000000−2i2i2i−2i−2i2i0000000000
χ5422-2-22-22222-2-2-2-2-2222-2-2000022-2-2−2i−2i2i2i0000000000-2-2222222-2-2-2-200000000−2i2i0000000000000000000000002i−2i−2i2i2i−2i0000000000
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χ998-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38000000−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ390000000000000000000000000000002ζ21+2ζ29−2ζ21−2ζ292ζ13+2ζ37−2ζ13−2ζ372ζ31+2ζ39−2ζ31−2ζ392ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000
χ1008-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380000004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39000000000000000000000000000000−2ζ21−2ζ292ζ21+2ζ29−2ζ13−2ζ372ζ13+2ζ37−2ζ31−2ζ392ζ31+2ζ39−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000000000000000
χ1018-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ31+2ζ39−2ζ31−2ζ392ζ13+2ζ37−2ζ13−2ζ372ζ21+2ζ29−2ζ21−2ζ29000000000000000000000000000000000000000000
χ1028-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ31−2ζ392ζ31+2ζ39−2ζ13−2ζ372ζ13+2ζ37−2ζ21−2ζ292ζ21+2ζ29000000000000000000000000000000000000000000
χ1038-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000000000000000000000000000002ζ31+2ζ39−2ζ31−2ζ392ζ7+2ζ23−2ζ7−2ζ232ζ21+2ζ29−2ζ21−2ζ292ζ13+2ζ37−2ζ13−2ζ37000000000000000000000000000000000000000000
χ1048-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37000000000000000000000000000000−2ζ31−2ζ392ζ31+2ζ39−2ζ7−2ζ232ζ7+2ζ23−2ζ21−2ζ292ζ21+2ζ29−2ζ13−2ζ372ζ13+2ζ37000000000000000000000000000000000000000000

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