Conside the finite field F=GF(9),say, and
the polynomial ring F[x].
The elements of F are listed below.
sage: k.<a> = GF(9)
sage: for x in k:print x
0
2*a
a + 1
a + 2
2
a
2*a + 2
2*a + 1
1
sage: R = PolynomialRing(k,'x')
sage:
sage: x = R.0
We can think of elements of k as integers from 0 to 8 :
0 <->0
2*a <->6
a + 1 <-> 4
a + 2 <-> 5
etc...
Now, (a+1) + x^2 is an element of F[x].
In Sage, is it possible to write the coeffcients as integers 0 to 8?
ie. Instead of (a +1) + x^2, can I write
4 + x^2 ?
I have tried it and it does not work.
sage: 4 + x^2
x^2 + 1
sage:
Thanks in advance for any assistance !
Shing
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