Package: genus2reduction
Version: 0.3-2.2
Here is a computation with debian's package:
$ genus2reduction
enter Q(x) : x^3+x^2+x
enter P(x) : -2*x^5+3*x^4-x^3-x^2-6*x-2
factorization CPU time = 20
a minimal equation over Z[1/2] is :
y^2 = x^6+18*x^3+36*x^2-27
factorization of the minimal (away from 2) discriminant :
[2,1;3,15;53,1]
p=2
(potential) stable reduction : (II), j=1
reduction at p : [I{1-0-0}] page 170, (1), f=1
p=3
(potential) stable reduction : (I)
reduction at p : *** at top-level: mod(y,y^2-3)
*** ^------------
*** not a function in function call
*** Error in the PARI system. End of program.
and with sage's package:
$ genus2reduction
enter Q(x) : x^3+x^2+x
enter P(x) : -2*x^5+3*x^4-x^3-x^2-6*x-2
factorization CPU time = 8
a minimal equation over Z[1/2] is :
y^2 = x^6+18*x^3+36*x^2-27
factorization of the minimal (away from 2) discriminant :
[2,1;3,15;53,1]
p=2
(potential) stable reduction : (II), j=1
reduction at p : [I{1-0-0}] page 170, (1), f=1
p=3
(potential) stable reduction : (I)
reduction at p : [II] page 155, (1), f=2
p=53
(potential) stable reduction : (II), j=12
reduction at p : [I{1-0-0}] page 170, (1), f=1
the conductor is 954
in factorized form : [2,1;3,2;53,1]
total CPU time = 12
So there's something wrong going on, not sure what.
Snark on #debian-science
--
To UNSUBSCRIBE, email to [email protected]
with a subject of "unsubscribe". Trouble? Contact [email protected]
