Hi all,
I'm trying to use Sage to implement the number field sieve factorization
algorithm, but I've reached a sticking point with defining polynomials and some
of their in built functions. I'm running Sage-5.13 through VirtualBox 4.3.8 and
homogenization does not work as expected. Following the online examples, the
following commands work as expected:
R.<t,s> = ZZ[]
my_poly = t^2+2*s*t+3*s
hom = my_poly.homogenize('z')
hom += 3*t
I then try to use this structure to build a polynomial from the base [n^(1/d)]
expansion of n as follows:
n = 100; d=3
load DATA+'my_functions.py'
coefficients = poly_expand(n,int(n**(1/d)),d)
R.<t,s> = ZZ[]
f = 0
for c in coefficients:
f += c*t^d
d -= 1
g = f.homogenize('s')
Running this returns "AttributeError: 'GlobalPolynomialRing' object has no
attribute '_first_ngens'". As far as I'm aware, there is no difference between
the two ring constructions, yet I still get errors. Any suggestions or pointers
in the right direction would be much appreciated.
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