#4965: [with patch, needs work] Z/nZ[x] via FLINT's zmod_poly
------------------------------+---------------------------------------------
 Reporter:  malb              |        Owner:  somebody  
     Type:  defect            |       Status:  new       
 Priority:  major             |    Milestone:  sage-3.4.1
Component:  basic arithmetic  |   Resolution:            
 Keywords:                    |  
------------------------------+---------------------------------------------
Comment (by malb):

 == "Long" Doctest Failures ==

 this one is easy:

 {{{
 sage -t --long "devel/sage/sage/schemes/elliptic_curves/padics.py"
 ...
 sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint._derivative
 ...
 sage.libs.ntl.ntl_lzz_pContext.ntl_zz_pContext     ValueError: Modulus
 (=2384185791015625) is too big
 }}}

 {{{
 File ".../sage/schemes/elliptic_curves/ell_number_field.py", line 728:
     sage: EllipticCurve([1 + a , -1 + a , 1 + a , -11 + a , 5 -9*a
 ]).conductor()
 ...
     ValueError: factorization of 0 not defined
 }}}

 {{{
 sage -t --long "devel/sage/sage/schemes/elliptic_curves/sha_tate.py"
 ...
     sage: EllipticCurve('858k2').sha().an_padic(7)  #rank 0, non trivial
 sha  (long
 ...
 sage.libs.ntl.ntl_lzz_pContext.ntl_zz_pContext     ValueError: Modulus
 (=558545864083284007) is too big
 }}}

 {{{
 sage -t --long
 "devel/sage/sage/schemes/hyperelliptic_curves/hyperelliptic_padic_field.py"
 **********************************************************************
     sage: w.coleman_integral(P, Q)
 Expected:
     O(11^6)
 Got:
     6 + 7*11 + 8*11^2 + 7*11^3 + 3*11^4 + 10*11^5 + O(11^6)
 **********************************************************************
     sage: C.coleman_integral(x*w, P, Q)
 Expected:
     O(11^6)
 Got:
     3 + 11 + 6*11^2 + 2*11^3 + 8*11^5 + O(11^6)
 **********************************************************************
     sage: C.coleman_integral(x^2*w, P, Q)
 Expected:
     3*11 + 2*11^2 + 7*11^3 + 2*11^4 + 10*11^5 + O(11^6)
 Got:
     5 + 11 + 8*11^2 + 11^3 + 7*11^4 + 6*11^5 + O(11^6)
 **********************************************************************
     sage: w.integrate(P, Q), (x*w).integrate(P, Q)
 Expected:
     (O(71^4), O(71^4))
 Got:
     (40 + 4*71 + 21*71^2 + 39*71^3 + O(71^4), 2 + 58*71 + 27*71^2 +
 49*71^3 + O(71^4))
 **********************************************************************
     sage: w.integrate(P, R)
 Expected:
     42*71 + 63*71^2 + 55*71^3 + O(71^4)
 Got:
     14 + 27*71 + 46*71^2 + 10*71^3 + O(71^4)
 **********************************************************************
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4965#comment:9>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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