#11891: NumberField(...).pari_polynomial() should return an integral polynomial
-----------------------------+----------------------------------------------
Reporter: jdemeyer | Owner: davidloeffler
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.7.3
Component: number fields | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Jeroen Demeyer
Merged: | Dependencies:
-----------------------------+----------------------------------------------
Comment(by jdemeyer):
This seems to cause a doctest failure in elliptic curves. Given the
severity of the failure, it is surprising that there is only one failure:
{{{
sage -t -long "devel/sage/sage/schemes/elliptic_curves/gal_reps.py"
**********************************************************************
File
"/usr/local/src/sage-4.7.2.alpha2/devel/sage/sage/schemes/elliptic_curves/gal_reps.py",
line 257:
sage: L = _division_field(E,5); L # long time (4s on sage.math,
2011)
Expected:
Number Field in a with defining polynomial Y^2 + Y -
7544/9663480699587560272216796875*b^18 - 922862/10473721227685546875*b^12
- 2459197/170278453125*b^6 - 859421/1661 over its base field
Got:
Number Field in b with defining polynomial x^48 + 24*x^47 - 2634*x^46
- 64906*x^45 + 2726775*x^44 + 70841232*x^43 + 224413842693*x^42 +
4701700599732*x^41 - 3592508072137596/5*x^40 - 15012293781179144*x^39 +
968283011174870355*x^38 + 20267256109653557724*x^37 +
12067484020318191883430*x^36 + 1074616923704149785005406/5*x^35 -
36733858365780941833244052*x^34 - 645743028366047451133249842*x^33 +
220969510763490262549458235143/5*x^32 +
3821508904338000023273602548048/5*x^31 -
116959091827892505647463476639056/5*x^30 -
410999736248972608356551138775366*x^29 -
14893829970063945547808915701339152/5*x^28 -
65364599206437988881942239704947194/5*x^27 +
67673426654602996794997806980859832818/5*x^26 +
881882930983056033772717698410508954006/5*x^25 -
222881687343119655077359346112642829420824/25*x^24 -
2895120823335191010101881263518064564214338/25*x^23 +
45001727573606034388747893503112487075055856/25*x^22 +
123791333776720160716501836669886842723129232/5*x^21 +
33784656476525285313173627304265791556761499182/25*x^20 +
315309937263412002519549766396743184287341740362/25*x^19 -
29809326189907478934703273836943134749630766073937/25*x^18 -
277139669604549129326940625213109992460300794466472/25*x^17 +
48267417458901196371693187503590931071511693353624403/125*x^16 +
417747951937480880271176634423393038757023573062901214/125*x^15 +
2007263826796309855277267487981686566625095650300775449/125*x^14 +
6629329384200142639862088631838847849519261327732912678/125*x^13 -
7890086815228540044028318696011082482007739165946890467526/125*x^12 -
47407282438244289856698339380010252170030182743016263979758/125*x^11 +
3298070588288796211686670268348031992948626610010905491413867/125*x^10 +
16925026780847521477088033404397720576309067225732939278573654/125*x^9 -
12606276975554600131707859641843171596158942063398834295739121081/3125*x^8
-
52976903401697668325123474606327892765221094244312074003749191524/3125*x^7
-
1938266538684772533113390852600216820719603074035866039130578333001/3125*x^6
-
5627590284654484129751875434157935192705922694236805197727447225544/3125*x^5
+
285380988605606088041604497638523394233117370690633546039125252974974/625*x^4
+
2863126544037648956156470697472798773649141080128520101958284622979502/3125*x^3
-
292971118345690446877843351574720458113286307337430973163488739432371577/3125*x^2
-
294403610592013769220290971977947932182340270515731034223504446414069348/3125*x
+
128890191901531504726282929609520479109501654595823184011440588325811602871/15625
**********************************************************************
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11891#comment:5>
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