ElementToPolynomial[e, s] gives a polynomial in the symbol s corresponding to the field element e.ElementToPolynomial[f, s] gives the irreducible polynomial in s of the field ...
FromElementCode[f, code] gives the field element of f associated with code, a non-negative integer less than the field size of f.
FunctionOfCode[g] is a setting for the option FormatType that specifies the format g[c] for an element, where c is the integer code for the element.
FunctionOfCoefficients[g] is a setting for the option FormatType that specifies the format g[c_0, c_1, ...] for an element, where c_0, c_1, ... are the coefficients in the ...
PolynomialToElement[f, poly] gives an element in the field f corresponding to the univariate polynomial poly with integer coefficients.
PowerListToField[list] gives the field associated with list of element data parts list, where the elements are generated by successive powers of a primitive element.
Successor[e] gives the next element in a canonical ordering of the field elements.
ToElementCode[e] gives a non-negative integer code, less than the field size, associated with the element e.
InterpolateRoot[lhs == rhs, {x, x_0, x_1}] searches for a numerical solution to the equation lhs == rhs using x_0 and x_1 as the first two values of x.
[1] Hairer, E. and G. Wanner. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, 1991. [2] Iserles, A. and S. P. Nørsett. Order ...