Can the coefficients of these two pairs of polynomials be reduced?
If yes, how do you do it with sagemath?
(8223*b+6341)*(8221*a+6339) mod 67586227 = 0
(65-8*b)*(67-8*a) mod 67586227 = 0
or
(8223*b+6341)*(67-8*a) mod 67586227 = 0
(8221*a+6339)*(65-8*b) mod 67586227 = 0