### Can the coefficients of these two pairs of polynomials be reduced? If yes, how do you do it with sagemath?

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 ~~(8213-8*b)*(8215-8*a) = ~~0
~~67586227

or

~~(8223*b+6341)*(67-8*a) ~~(8223*b+6341)*(8215-8*a) mod 67586227 = 0
~~(8221*a+6339)*(65-8*b) ~~(8221*a+6339)*(8213-8*b) mod 67586227 = 0