The following operations are always available for field elements. Of course the operands must lie in compatible fields, i.e., the fields must be equal, or at least have a common superfield.
f + g
The operator + evaluates to the sum of the two field elements f and
g, which must lie in compatible fields.
f - g
The operator - evaluates to the difference of the two field elements
f and g, which must lie in compatible fields.
f * g
The operator * evaluates to the product of the two field elements f
and g, which must lie in compatible fields.
f / g
The operator / evaluates to the quotient of the two field elements f
and g, which must lie in compatible fields. If the divisor is 0 an
error is signalled.
f ^ n
The operator ^ evaluates to the n-th power of the field element f.
If n is a positive integer then f^n is f*f*..*f
(n factors). If n is a negative integer f^n is defined as
1 / {<f>^{-<n>}}. If 0 is raised to a negative power an error is
signalled. Any field element, even 0, raised to the 0-th power yields 1.
For the precedence of the operators see Operations.
GAP 3.4.4