#4816: Test failure in ell_rational_field.py
---------------------+------------------------------------------------------
Reporter: justin | Owner: tbd
Type: defect | Status: new
Priority: major | Milestone:
Component: algebra | Keywords:
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Testing in sage-3.2.2.rc0 yields a failure, below, (on Mac OS X, 10.5.5,
on a Dual Quad Xeon). To spoil the fun, there are two differences between
"Expected" and "Got":
{{{
Expected:
...
lambda 0.485997517468082
...
k5,k6,k7 0.321154513240167 1.55246328915541 0.161999172489361
}}}
{{{
Got:
...
lambda 0.485997517468080
...
k5,k6,k7 0.321154513240167 1.55246328915541 0.161999172489360
}}}
Here's the full failure:
{{{
sage -t "devel/sage/sage/schemes/elliptic_curves/ell_rational_field.py"
**********************************************************************
File
"/Users/tmp/sage-3.2.2.alpha2/devel/sage/sage/schemes/elliptic_curves/ell_rational_field.py",
line 3248, in __main__.example_111
Failed example:
a=E.S_integral_points(S=[Integer(2),Integer(3)], mw_base=[P1,P2,P3],
verbose=True);a###line 4640:_sage_ >>> a=E.S_integral_points(S=[2,3],
mw_base=[P1,P2,P3], verbose=True);a
Expected:
max_S: 3 len_S: 3 len_tors: 1
lambda 0.485997517468082
k1,k2,k3,k4 6.68597129142710e234 1.31952866480763 3.31908110593519e9
2.42767548272846e17
mw_base [(1 : -1 : 1), (2 : 0 : 1), (0 : -3 : 1)]
mw_base_log [0.667789378224099, 0.552642660712417, 0.818477222895703]
mp [5, 7]
mw_base_p_log [[2^2 + 2^3 + 2^6 + 2^7 + 2^8 + 2^9 + 2^14 + 2^15 + 2^18
+ 2^19 + O(2^20), 2^2 + 2^3 + 2^5 + 2^6 + 2^9 + 2^11 + 2^12 + 2^14 + 2^15
+ 2^16 + 2^18 + O(2^20), 2 + 2^3 + 2^6 + 2^7 + 2^8 + 2^9 + 2^11 + 2^12 +
2^13 + 2^16 + 2^17 + 2^19 + O(2^20)], [2*3^2 + 2*3^5 + 2*3^6 + 2*3^7 + 3^8
+ 3^9 + 2*3^10 + 3^12 + 2*3^14 + 3^15 + 3^17 + 2*3^19 + O(3^20), 2*3 +
2*3^2 + 2*3^3 + 2*3^4 + 2*3^6 + 2*3^7 + 2*3^8 + 3^10 + 2*3^12 + 3^13 +
2*3^14 + 3^15 + 3^18 + O(3^20), 3 + 3^2 + 2*3^3 + 3^6 + 2*3^7 + 2*3^8 +
3^9 + 2*3^11 + 2*3^12 + 2*3^13 + 3^15 + 2*3^16 + 3^18 + 2*3^19 + O(3^20)]]
k5,k6,k7 0.321154513240167 1.55246328915541 0.161999172489361
initial bound 2.62270974833657e117
bound_list [58, 58, 58]
bound_list [8, 9, 9]
bound_list [8, 7, 7]
bound_list [8, 7, 7]
starting search of points using coefficient bound 8
x-coords of S-integral points via linear combination of mw_base and
torsion:
[-3, -26/9, -8159/2916, -2759/1024, -151/64, -1343/576, -2, -7/4, -1,
-47/256, 0, 1/4, 4/9, 9/16, 58/81, 7/9, 6169/6561, 1, 17/16, 2, 33/16,
172/81, 9/4, 25/9, 3, 31/9, 4, 25/4, 1793/256, 8, 625/64, 11, 14, 21, 37,
52, 6142/81, 93, 4537/36, 342, 406, 816, 207331217/4096]
starting search of extra S-integer points with absolute value bounded
by 3.89321964979420
x-coords of points with bounded absolute value
[-3, -2, -1, 0, 1, 2]
Total number of S-integral points: 43
[(-3 : 0 : 1), (-26/9 : 28/27 : 1), (-8159/2916 : 233461/157464 : 1),
(-2759/1024 : 60819/32768 : 1), (-151/64 : 1333/512 : 1), (-1343/576 :
36575/13824 : 1), (-2 : 3 : 1), (-7/4 : 25/8 : 1), (-1 : 3 : 1), (-47/256
: 9191/4096 : 1), (0 : 2 : 1), (1/4 : 13/8 : 1), (4/9 : 35/27 : 1), (9/16
: 69/64 : 1), (58/81 : 559/729 : 1), (7/9 : 17/27 : 1), (6169/6561 :
109871/531441 : 1), (1 : 0 : 1), (17/16 : -25/64 : 1), (2 : 0 : 1), (33/16
: 17/64 : 1), (172/81 : 350/729 : 1), (9/4 : 7/8 : 1), (25/9 : 64/27 : 1),
(3 : 3 : 1), (31/9 : 116/27 : 1), (4 : 6 : 1), (25/4 : 111/8 : 1),
(1793/256 : 68991/4096 : 1), (8 : 21 : 1), (625/64 : 14839/512 : 1), (11 :
35 : 1), (14 : 51 : 1), (21 : 95 : 1), (37 : 224 : 1), (52 : 374 : 1),
(6142/81 : 480700/729 : 1), (93 : 896 : 1), (4537/36 : 305425/216 : 1),
(342 : 6324 : 1), (406 : 8180 : 1), (816 : 23309 : 1), (207331217/4096 :
2985362173625/262144 : 1)]
Got:
max_S: 3 len_S: 3 len_tors: 1
lambda 0.485997517468080
k1,k2,k3,k4 6.68597129142710e234 1.31952866480763 3.31908110593519e9
2.42767548272846e17
mw_base [(1 : -1 : 1), (2 : 0 : 1), (0 : -3 : 1)]
mw_base_log [0.667789378224099, 0.552642660712417, 0.818477222895703]
mp [5, 7]
mw_base_p_log [[2^2 + 2^3 + 2^6 + 2^7 + 2^8 + 2^9 + 2^14 + 2^15 + 2^18
+ 2^19 + O(2^20), 2^2 + 2^3 + 2^5 + 2^6 + 2^9 + 2^11 + 2^12 + 2^14 + 2^15
+ 2^16 + 2^18 + O(2^20), 2 + 2^3 + 2^6 + 2^7 + 2^8 + 2^9 + 2^11 + 2^12 +
2^13 + 2^16 + 2^17 + 2^19 + O(2^20)], [2*3^2 + 2*3^5 + 2*3^6 + 2*3^7 + 3^8
+ 3^9 + 2*3^10 + 3^12 + 2*3^14 + 3^15 + 3^17 + 2*3^19 + O(3^20), 2*3 +
2*3^2 + 2*3^3 + 2*3^4 + 2*3^6 + 2*3^7 + 2*3^8 + 3^10 + 2*3^12 + 3^13 +
2*3^14 + 3^15 + 3^18 + O(3^20), 3 + 3^2 + 2*3^3 + 3^6 + 2*3^7 + 2*3^8 +
3^9 + 2*3^11 + 2*3^12 + 2*3^13 + 3^15 + 2*3^16 + 3^18 + 2*3^19 + O(3^20)]]
k5,k6,k7 0.321154513240167 1.55246328915541 0.161999172489360
initial bound 2.62270974833657e117
bound_list [58, 58, 58]
bound_list [8, 9, 9]
bound_list [8, 7, 7]
bound_list [8, 7, 7]
starting search of points using coefficient bound 8
x-coords of S-integral points via linear combination of mw_base and
torsion:
[-3, -26/9, -8159/2916, -2759/1024, -151/64, -1343/576, -2, -7/4, -1,
-47/256, 0, 1/4, 4/9, 9/16, 58/81, 7/9, 6169/6561, 1, 17/16, 2, 33/16,
172/81, 9/4, 25/9, 3, 31/9, 4, 25/4, 1793/256, 8, 625/64, 11, 14, 21, 37,
52, 6142/81, 93, 4537/36, 342, 406, 816, 207331217/4096]
starting search of extra S-integer points with absolute value bounded
by 3.89321964979420
x-coords of points with bounded absolute value
[-3, -2, -1, 0, 1, 2]
Total number of S-integral points: 43
[(-3 : 0 : 1), (-26/9 : 28/27 : 1), (-8159/2916 : 233461/157464 : 1),
(-2759/1024 : 60819/32768 : 1), (-151/64 : 1333/512 : 1), (-1343/576 :
36575/13824 : 1), (-2 : 3 : 1), (-7/4 : 25/8 : 1), (-1 : 3 : 1), (-47/256
: 9191/4096 : 1), (0 : 2 : 1), (1/4 : 13/8 : 1), (4/9 : 35/27 : 1), (9/16
: 69/64 : 1), (58/81 : 559/729 : 1), (7/9 : 17/27 : 1), (6169/6561 :
109871/531441 : 1), (1 : 0 : 1), (17/16 : -25/64 : 1), (2 : 0 : 1), (33/16
: 17/64 : 1), (172/81 : 350/729 : 1), (9/4 : 7/8 : 1), (25/9 : 64/27 : 1),
(3 : 3 : 1), (31/9 : 116/27 : 1), (4 : 6 : 1), (25/4 : 111/8 : 1),
(1793/256 : 68991/4096 : 1), (8 : 21 : 1), (625/64 : 14839/512 : 1), (11 :
35 : 1), (14 : 51 : 1), (21 : 95 : 1), (37 : 224 : 1), (52 : 374 : 1),
(6142/81 : 480700/729 : 1), (93 : 896 : 1), (4537/36 : 305425/216 : 1),
(342 : 6324 : 1), (406 : 8180 : 1), (816 : 23309 : 1), (207331217/4096 :
2985362173625/262144 : 1)]
**********************************************************************
1 items had failures:
1 of 9 in __main__.example_111
***Test Failed*** 1 failures.
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4816>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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