On Wednesday, September 27, 2017 at 6:33:47 PM UTC+1, Madhurima
Mukhopadhyay wrote:
>
> The followimg code is giving me no results. I cannot understand the
> reason behind this
> p=297079
> K=GF(p)
> a1,a2,a3,h0,h1=var('a1 a2 a3 h0 h1')
> RHS= (x - a1)*(x - a2)*(x - a3)*(x^2+h1*x+h0)*(x^4 + 45948*x^3 +
> 55848*x^2 + 84717*x + 225935)
> Coeff = RHS.coefficients(x,sparse=
> False)
> solve([Coeff[ 7 ] == 0,Coeff[ 6 ] == 0,Coeff[ 5 ] == 0,Coeff[ 4 ] ==
> 0],h0,h1)
>
What do you expect here?
Note that p and K have no influence on the polynomial system,
with parameters a1,a2,a3 and variables h0,h1 you are trying to solve.
The system is linear in h0 and h1. A linear system with 2 variables and 4
equations
typically will not have any solutions.
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