Dominique Laurain wrote:
I usually factor "small" polynomials...but this time I got a
"Segmentation fault" for a bigger one...is it ok to get that error (no
control of enough memory or processor task force to get the result) ?
Maybe I want toooo much :-) ... over the quota.?
Certainly not a (out of) memory error; I can reproduce it with Sage
6.3.beta2, FWIW.
The answer is instantaneous with Sage 5.7 and 5.8: :-)
Factor f : 4*(v + w - 1)^3*(4*u^3*v^3 + 24*u^3*v^2*w + 20*u^3*v*w^2 +
4*u^3*w^3 + 20*u^2*v^3*w + 80*u^2*v^2*w^2 + 24*u^2*v*w^3 + 24*u*v^3*w^2
+ 20*u*v^2*w^3 + 4*v^3*w^3 - 16*u^3*v^2 - 44*u^3*v*w - 16*u^3*w^2 -
16*u^2*v^3 - 132*u^2*v^2*w - 132*u^2*v*w^2 - 16*u^2*w^3 - 44*u*v^3*w -
132*u*v^2*w^2 - 44*u*v*w^3 - 16*v^3*w^2 - 16*v^2*w^3 + 18*u^3*v +
19*u^3*w + 52*u^2*v^2 + 151*u^2*v*w + 52*u^2*w^2 + 19*u*v^3 +
151*u*v^2*w + 151*u*v*w^2 + 18*u*w^3 + 18*v^3*w + 52*v^2*w^2 + 19*v*w^3
- 6*u^3 - 47*u^2*v - 48*u^2*w - 48*u*v^2 - 137*u*v*w - 47*u*w^2 + 13*u^2
- 6*v^3 - 47*v^2*w - 48*v*w^2 + 37*u*w + 13*v^2 - 6*w^3 + 37*u*v +
37*v*w + 13*w^2 - 9*u - 9*v - 9*w + 2)*u*w^2
-leif
Project-id: 6429970e-5a78-4aee-a6b1-af1e80542481
Location: f71dab5b-f40c-48db-a3d2-eefe6ec55f01
hostname : compute2dc2
Run in SAGE python cell:
# Segmentation fault in singular factorization
u,v,w = var('u,v,w')
f(u,v,w) = 16*u^4*v^6*w^2 + 144*u^4*v^5*w^3 + 80*u^3*v^6*w^3 +
416*u^4*v^4*w^4 + 560*u^3*v^5*w^4 + 96*u^2*v^6*w^4 + 560*u^4*v^3*w^5 +
1296*u^3*v^4*w^5 + 368*u^2*v^5*w^5 + 16*u*v^6*w^5 + 384*u^4*v^2*w^6 +
1328*u^3*v^3*w^6 + 528*u^2*v^4*w^6 + 48*u*v^5*w^6 + 128*u^4*v*w^7 +
608*u^3*v^2*w^7 + 336*u^2*v^3*w^7 + 48*u*v^4*w^7 + 16*u^4*w^8 +
96*u^3*v*w^8 + 80*u^2*v^2*w^8 + 16*u*v^3*w^8 - 112*u^4*v^5*w^2 -
64*u^3*v^6*w^2 - 752*u^4*v^4*w^3 - 960*u^3*v^5*w^3 - 176*u^2*v^6*w^3 -
1648*u^4*v^3*w^4 - 3744*u^3*v^4*w^4 - 1344*u^2*v^5*w^4 - 64*u*v^6*w^4 -
1600*u^4*v^2*w^5 - 5744*u^3*v^3*w^5 - 3104*u^2*v^4*w^5 - 304*u*v^5*w^5 -
704*u^4*v*w^6 - 3840*u^3*v^2*w^6 - 3056*u^2*v^3*w^6 - 480*u*v^4*w^6 -
112*u^4*w^7 - 1008*u^3*v*w^7 - 1296*u^2*v^2*w^7 - 304*u*v^3*w^7 -
64*u^3*w^8 - 176*u^2*v*w^8 - 64*u*v^2*w^8 + 312*u^4*v^4*w^2 +
400*u^3*v^5*w^2 + 76*u^2*v^6*w^2 + 1540*u^4*v^3*w^3 + 3436*u^3*v^4*w^3 +
1360*u^2*v^5*w^3 + 72*u*v^6*w^3 + 2412*u^4*v^2*w^4 + 8788*u^3*v^3*w^4 +
5572*u^2*v^4*w^4 + 616*u*v^5*w^4 + 1500*u^4*v*w^5 + 8836*u^3*v^2*w^5 +
8524*u^2*v^3*w^5 + 1540*u*v^4*w^5 + 316*u^4*w^6 + 3484*u^3*v*w^6 +
5512*u^2*v^2*w^6 + 1548*u*v^3*w^6 + 400*u^3*w^7 + 1348*u^2*v*w^7 +
628*u*v^2*w^7 + 72*u^2*w^8 + 76*u*v*w^8 - 448*u^4*v^3*w^2 -
1004*u^3*v^4*w^2 - 420*u^2*v^5*w^2 - 24*u*v^6*w^2 - 1548*u^4*v^2*w^3 -
5672*u^3*v^3*w^3 - 3920*u^2*v^4*w^3 - 476*u*v^5*w^3 - 1544*u^4*v*w^4 -
9500*u^3*v^2*w^4 - 10280*u^2*v^3*w^4 - 2076*u*v^4*w^4 - 460*u^4*w^5 -
5696*u^3*v*w^5 - 10244*u^2*v^2*w^5 - 3280*u*v^3*w^5 - 1008*u^3*w^6 -
3884*u^2*v*w^6 - 2108*u*v^2*w^6 - 404*u^2*w^7 - 492*u*v*w^7 - 24*u*w^8 +
352*u^4*v^2*w^2 + 1304*u^3*v^3*w^2 + 952*u^2*v^4*w^2 + 124*u*v^5*w^2 +
764*u^4*v*w^3 + 4824*u^3*v^2*w^3 + 5604*u^2*v^3*w^3 + 1228*u*v^4*w^3 +
364*u^4*w^4 + 4836*u^3*v*w^4 + 9468*u^2*v^2*w^4 + 3332*u*v^3*w^4 +
1316*u^3*w^5 + 5568*u^2*v*w^5 + 3356*u*v^2*w^5 + 928*u^2*w^6 +
1252*u*v*w^6 + 124*u*w^7 - 144*u^4*v*w^2 - 928*u^3*v^2*w^2 -
1132*u^2*v^3*w^2 - 264*u*v^4*w^2 - 148*u^4*w^3 - 2056*u^3*v*w^3 -
4264*u^2*v^2*w^3 - 1608*u*v^3*w^3 - 940*u^3*w^4 - 4252*u^2*v*w^4 -
2764*u*v^2*w^4 - 1116*u^2*w^5 - 1624*u*v*w^5 - 264*u*w^6 + 24*u^4*w^2 +
344*u^3*v*w^2 + 744*u^2*v^2*w^2 + 296*u*v^3*w^2 + 348*u^3*w^3 +
1652*u^2*v*w^3 + 1136*u*v^2*w^3 + 740*u^2*w^4 + 1140*u*v*w^4 + 296*u*w^5
- 52*u^3*w^2 - 256*u^2*v*w^2 - 184*u*v^2*w^2 - 256*u^2*w^3 - 412*u*v*w^3
- 184*u*w^4 + 36*u^2*w^2 + 60*u*v*w^2 + 60*u*w^3 - 8*u*w^2
print "Factor f : ",f.factor()
︡0b6bb50a-8d75-47c8-b89a-2a6e6c21336d︡{"stdout":"Factor f :
"}︡{"stderr":"Error in lines 4-4\n"}︡{"stderr":"Traceback (most recent
call last):\n File
\"/projects/6429970e-5a78-4aee-a6b1-af1e80542481/.sagemathcloud/sage_server.py\",
line 733, in execute\n exec compile(block+'\\n', '', 'single') in
namespace, locals\n File \"\", line 1, in <module>\n File
\"expression.pyx\", line 8760, in
sage.symbolic.expression.Expression.factor
(sage/symbolic/expression.cpp:37261)\n File
\"multi_polynomial_libsingular.pyx\", line 4132, in
sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular.factor
(sage/rings/polynomial/multi_polynomial_libsingular.cpp:26950)\n File
\"c_lib.pyx\", line 97, in sage.ext.c_lib.sig_raise_exception
(sage/ext/c_lib.c:1208)\nSignalError: Segmentation fault\n"}︡
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