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I have no idea of what you are asking or what you are trying to compute. But if you define a to be the generator of your field then it is very confusing to use a as the loop variable. For example:

sage: F.<a>=GF(16)
sage: 1+3*a
a + 1
sage: 16*a
0

Using a as a loop variable overwrites it:

sage: for a in range(3): print a
0
1
2
sage: a
2