The Normal function is a placeholder for representing a normal form for an expression. It is used in conjunction with mod and evala as described below which defines the coefficient domain.

The call  Normal(a) mod p computes a normal form for a where a is a rational expression over a finite field.

The call  evala(Normal(a))  computes a normal form for a where a may contain algebraic coefficients defined by RootOfs or radicals. See evala,Normal for more information.

$\mathrm{Normal}\left(\frac{x^3-2x^2+2x+1}{x^4+1}\right)\mathbf{mod}5$

$\frac{x+3}{x^2+3}$

$\mathrm{evala}\left(\mathrm{Normal}\left(\frac{x^2-2}{x-\mathrm{RootOf}\left({\mathrm{\_Z}}^2-2\right)}\right)\right)$

$x+\mathrm{RootOf}\left({\mathrm{\_Z}}^2-2\right)$