Possibly, but it is only calling Flint for gcd, presumably over Z/nZ. It could just as easily be a bug in Sage itself, calling Flint with invalid data.
On 21 February 2017 at 16:59, Dima Pasechnik <dimp...@gmail.com> wrote: > Apparently it's a bug in Flint, no? > > > On Tuesday, February 21, 2017 at 2:03:21 PM UTC, Clemens Heuberger wrote: >> >> Roswitha Rissner found a 25x26 matrix over GF(3)[x] such that calling >> smith_form() leads to a crash: >> >> *** Error in `python': free(): invalid next size (normal): >> 0x0000000003ad4fe0 *** >> >> Input file as well as the full output are below. >> >> The mathematical problem itself does seem to be solvable: pari can handle >> it. >> >> A1 = A.transpose().augment(vector(R, 26*[0])).transpose() >> S = pari(A1).matsnf(3) >> def to_sage(gen): >> return matrix(R, [[R(entry) for entry in column] for column in >> gen]).transpose() >> U = to_sage(S[0]) >> V = to_sage(S[1]) >> D = to_sage(S[2]) >> assert U*A1*V == D >> assert U.det() == 1 >> assert V.det() == 1 >> assert matrix.diagonal(D.diagonal()) == D >> >> Regards, Clemens >> >> ======================== >> >> R.<x> = GF(3)[] >> A = matrix([[x^4 + x^3 + 2*x + 2, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^3 + x + 1, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^3 + 2*x + 2, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^3 + x^2, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^3 + 2, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^3 + 2*x^2, 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^4 + x^3 + x^2 + x + 2, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + >> 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^3 + x + 2, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^3 + x, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^3 + 2*x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, >> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^3 + x^2 + 2*x + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + >> 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^4 + x + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + >> x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^3 + 2*x^2 + 2*x + 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + >> x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^2 + 2*x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 + >> 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^2 + 2*x + 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + x^4 >> + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], >> [x^3 + 2*x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 >> + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0], >> [2*x^3 + 2*x^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 >> + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0, 0], >> [x^4 + 2*x^3 + 2*x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, >> 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0, 0], >> [x + 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*x^5 + >> x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0, 0], >> [x^2 + x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, >> 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0, 0], >> [x^3 + x^2 + 2*x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, >> 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0, 0], >> [2*x^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, >> 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0, 0], >> [x^2 + 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, >> 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2, 0], >> [x^4 + x^3 + 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, >> 0, 0, 0, 0, 0, 2*x^5 + x^4 + 2*x^3 + x^2 + 2]]) >> A.smith_form() >> >> ============ >> >> >> *** Error in `python': free(): invalid pointer: 0x000000000485b630 *** >> ======= Backtrace: ========= >> /lib/x86_64-linux-gnu/libc.so.6(+0x777e5)[0x7fb0d65da7e5] >> /lib/x86_64-linux-gnu/libc.so.6(+0x7fe0a)[0x7fb0d65e2e0a] >> /lib/x86_64-linux-gnu/libc.so.6(cfree+0x4c)[0x7fb0d65e698c] >> /local/sage/sage-7.6.beta4/local/lib/libflint.so.13(_nmod_ >> poly_xgcd_hgcd+0x1baa)[0x7fb0c836787a] >> /local/sage/sage-7.6.beta4/local/lib/libflint.so.13(nmod_poly_xgcd+0x14a)[0x7fb0c83604aa] >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/rings/polynomial/polynomial_zmod_flint.so(+0xf147)[0x7fafa7c69147] >> /local/sage/sage-7.6.beta4/local/lib/libpython2.7.so.1.0(PyO >> bject_Call+0x43)[0x7fb0d72ad483] >> /local/sage/sage-7.6.beta4/local/lib/libpython2.7.so.1.0(PyE >> val_CallObjectWithKeywords+0x47)[0x7fb0d735c9f7] >> /local/sage/sage-7.6.beta4/local/lib/libpython2.7.so.1.0(+0x72ad8)[0x7fb0d72cbad8] >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/structure/element.so(+0xb920)[0x7fb0cc57f920] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/structure/element.so(+0x13697)[0x7fb0cc587697] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/rings/polynomial/polynomial_element.so(+0x143c1)[0x7fafd0bb23c1] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/rings/polynomial/polynomial_element.so(+0x144157)[0x7fafd0ce2157] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c7b4)[0x7fafca43f7b4] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x15f487)[0x7fafca582487] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c7b4)[0x7fafca43f7b4] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1b1634)[0x7fafca5d4634] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c7b4)[0x7fafca43f7b4] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14975a)[0x7fafca56c75a] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x1c602)[0x7fafca43f602] >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/matrix/matrix2.so(+0x14ae7d)[0x7fafca56de7d] >> /local/sage/sage-7.6.beta4/local/lib/libpython2.7.so.1.0(PyE >> val_EvalFrameEx+0x79f7)[0x7fb0d73649e7] >> /local/sage/sage-7.6.beta4/local/lib/libpython2.7.so.1.0(PyE >> val_EvalCodeEx+0x81c)[0x7fb0d736688c] >> ======= Memory map: ======== >> 00400000-00401000 r-xp 00000000 08:02 9728105 >> /local/sage/sage-7.6.beta4/local/bin/python2.7 >> 00600000-00601000 rw-p 00000000 08:02 9728105 >> /local/sage/sage-7.6.beta4/local/bin/python2.7 >> 01a53000-04891000 rw-p 00000000 00:00 0 >> [heap] >> 7fafa0000000-7fafa0021000 rw-p 00000000 00:00 0 >> 7fafa0021000-7fafa4000000 ---p 00000000 00:00 0 >> 7fafa54f0000-7fafa5830000 rw-p 00000000 00:00 0 >> 7fafa5830000-7fafa584b000 r-xp 00000000 08:02 11405834 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/matrix/action.so >> >> 7fafa584b000-7fafa5a4a000 ---p 0001b000 08:02 11405834 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/matrix/action.so >> >> 7fafa5a4a000-7fafa5a4f000 rw-p 0001a000 08:02 11405834 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/matrix/action.so >> >> 7fafa5a4f000-7fafa5a8f000 rw-p 00000000 00:00 0 >> 7fafa5a8f000-7fafa5ac6000 r-xp 00000000 08:02 7113656 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/rings/fraction_field_FpT.so >> 7fafa5ac6000-7fafa5cc5000 ---p 00037000 08:02 7113656 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/rings/fraction_field_FpT.so >> 7fafa5cc5000-7fafa5cd0000 rw-p 00036000 08:02 7113656 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/rings/fraction_field_FpT.so >> 7fafa5cd0000-7fafa5cd1000 rw-p 00000000 00:00 0 >> 7fafa5cd1000-7fafa5cdd000 r-xp 00000000 08:02 11406062 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/modules/vector_complex_double_dense.so >> 7fafa5cdd000-7fafa5edd000 ---p 0000c000 08:02 11406062 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/modules/vector_complex_double_dense.so >> 7fafa5edd000-7fafa5edf000 rw-p 0000c000 08:02 11406062 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/modules/vector_complex_double_dense.so >> 7fafa5edf000-7fafa5f5f000 rw-p 00000000 00:00 0 >> 7fafa5f5f000-7fafa5fd6000 r-xp 00000000 08:02 12604148 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/random/mtrand.so >> >> 7fafa5fd6000-7fafa61d6000 ---p 00077000 08:02 12604148 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/random/mtrand.so >> >> 7fafa61d6000-7fafa6211000 rw-p 00077000 08:02 12604148 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/random/mtrand.so >> >> 7fafa6211000-7fafa6252000 rw-p 00000000 00:00 0 >> 7fafa6252000-7fafa625b000 r-xp 00000000 08:02 12604275 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/fft/fftpack_lite.so >> >> 7fafa625b000-7fafa645a000 ---p 00009000 08:02 12604275 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/fft/fftpack_lite.so >> >> 7fafa645a000-7fafa645b000 rw-p 00008000 08:02 12604275 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/fft/fftpack_lite.so >> >> 7fafa645b000-7fafa649b000 rw-p 00000000 00:00 0 >> 7fafa649b000-7fafa64bd000 r-xp 00000000 08:02 12604293 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/linalg/_umath_linalg.so >> >> 7fafa64bd000-7fafa66bc000 ---p 00022000 08:02 12604293 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/linalg/_umath_linalg.so >> >> 7fafa66bc000-7fafa66be000 rw-p 00021000 08:02 12604293 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/linalg/_umath_linalg.so >> >> 7fafa66be000-7fafa66c3000 r-xp 00000000 08:02 12604295 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/linalg/lapack_lite.so >> >> 7fafa66c3000-7fafa68c2000 ---p 00005000 08:02 12604295 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/linalg/lapack_lite.so >> >> 7fafa68c2000-7fafa68c3000 rw-p 00004000 08:02 12604295 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/numpy/linalg/lapack_lite.so >> >> 7fafa68c3000-7fafa69c3000 rw-p 00000000 00:00 0 >> 7fafa69c3000-7fafa69e6000 r-xp 00000000 08:02 10631636 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/_ctypes.so >> 7fafa69e6000-7fafa6be6000 ---p 00023000 08:02 10631636 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/_ctypes.so >> 7fafa6be6000-7fafa6beb000 rw-p 00023000 08:02 10631636 >> 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00:00 0 >> 7fafabf84000-7fafabfd4000 r-xp 00000000 08:02 11405892 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/numerical/backends/generic_backend.so >> 7fafabfd4000-7fafac1d3000 ---p 00050000 08:02 11405892 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/numerical/backends/generic_backend.so >> 7fafac1d3000-7fafac1e7000 rw-p 0004f000 08:02 11405892 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/numerical/backends/generic_backend.so >> 7fafac1e7000-7fafac24b000 r-xp 00000000 08:02 11405872 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/numerical/mip.so >> >> 7fafac24b000-7fafac44a000 ---p 00064000 08:02 11405872 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/numerical/mip.so >> >> 7fafac44a000-7fafac462000 rw-p 00063000 08:02 11405872 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/numerical/mip.so >> >> 7fafac462000-7fafac4a3000 rw-p 00000000 00:00 0 >> 7fafac4a3000-7fafac4b8000 r-xp 00000000 08:02 11405954 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/geometry/toric_lattice_element.so >> 7fafac4b8000-7fafac6b8000 ---p 00015000 08:02 11405954 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/geometry/toric_lattice_element.so >> 7fafac6b8000-7fafac6bb000 rw-p 00015000 08:02 11405954 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/geometry/toric_lattice_element.so >> 7fafac6bb000-7fafac6bc000 rw-p 00000000 00:00 0 >> 7fafac6bc000-7fafac6de000 r-xp 00000000 08:02 11405951 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/geometry/point_collection.so >> 7fafac6de000-7fafac8dd000 ---p 00022000 08:02 11405951 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/geometry/point_collection.so >> 7fafac8dd000-7fafac8e4000 rw-p 00021000 08:02 11405951 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/geometry/point_collection.so >> 7fafac8e4000-7fafac9a5000 rw-p 00000000 00:00 0 >> 7fafac9a5000-7fafac9c4000 r-xp 00000000 08:02 6176082 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/eclib/mwrank.so >> >> 7fafac9c4000-7fafacbc4000 ---p 0001f000 08:02 6176082 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/eclib/mwrank.so >> >> 7fafacbc4000-7fafacbd0000 rw-p 0001f000 08:02 6176082 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/eclib/mwrank.so >> >> 7fafacbd0000-7fafacc18000 r-xp 00000000 08:02 8528724 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/lfunctions/zero_sums.so >> >> 7fafacc18000-7faface17000 ---p 00048000 08:02 8528724 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/lfunctions/zero_sums.so >> >> 7faface17000-7faface25000 rw-p 00047000 08:02 8528724 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/lfunctions/zero_sums.so >> >> 7faface25000-7fafacea6000 rw-p 00000000 00:00 0 >> 7fafacea6000-7fafad182000 r-xp 00000000 08:02 9716868 >> /local/sage/sage-7.6.beta4/local/lib/libec.so.3.0.4 >> 7fafad182000-7fafad381000 ---p 002dc000 08:02 9716868 >> /local/sage/sage-7.6.beta4/local/lib/libec.so.3.0.4 >> 7fafad381000-7fafad387000 rw-p 002db000 08:02 9716868 >> /local/sage/sage-7.6.beta4/local/lib/libec.so.3.0.4 >> 7fafad387000-7fafad39b000 r-xp 00000000 08:02 6176074 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/eclib/newforms.so >> >> 7fafad39b000-7fafad59b000 ---p 00014000 08:02 6176074 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/eclib/newforms.so >> >> 7fafad59b000-7fafad59f000 rw-p 00014000 08:02 6176074 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/eclib/newforms.so >> >> 7fafad59f000-7fafad65f000 rw-p 00000000 00:00 0 >> 7fafad65f000-7fafad69d000 r-xp 00000000 08:02 6176305 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/schemes/hyperelliptic_curves/hypellfrob.so >> 7fafad69d000-7fafad89c000 ---p 0003e000 08:02 6176305 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/schemes/hyperelliptic_curves/hypellfrob.so >> 7fafad89c000-7fafad89f000 rw-p 0003d000 08:02 6176305 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/schemes/hyperelliptic_curves/hypellfrob.so >> 7fafad89f000-7fafad8df000 rw-p 00000000 00:00 0 >> 7fafad8df000-7fafad901000 r-xp 00000000 08:02 263297 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/sets/finite_set_map_cy.so >> 7fafad901000-7fafadb01000 ---p 00022000 08:02 263297 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/sets/finite_set_map_cy.so >> 7fafadb01000-7fafadb08000 rw-p 00022000 08:02 263297 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/sets/finite_set_map_cy.so >> 7fafadb08000-7fafadb48000 rw-p 00000000 00:00 0 >> 7fafadb48000-7fafadb94000 r-xp 00000000 08:02 6175753 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/groups/perm_gps/partn_ref2/refinement_generic.so >> 7fafadb94000-7fafadd93000 ---p 0004c000 08:02 6175753 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/groups/perm_gps/partn_ref2/refinement_generic.so >> 7fafadd93000-7fafadd9c000 rw-p 0004b000 08:02 6175753 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/groups/perm_gps/partn_ref2/refinement_generic.so >> 7fafadd9c000-7fafadde6000 r-xp 00000000 08:02 263313 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/sets/disjoint_set.so >> >> 7fafadde6000-7fafadfe5000 ---p 0004a000 08:02 263313 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/sets/disjoint_set.so >> >> 7fafadfe5000-7fafadff1000 rw-p 00049000 08:02 263313 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/sets/disjoint_set.so >> >> 7fafadff1000-7fafae00e000 r-xp 00000000 08:02 6176194 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/schemes/projective/projective_morphism_helper.so >> 7fafae00e000-7fafae20e000 ---p 0001d000 08:02 6176194 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/schemes/projective/projective_morphism_helper.so >> 7fafae20e000-7fafae211000 rw-p 0001d000 08:02 6176194 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-package >> s/sage/schemes/projective/projective_morphism_helper.so >> 7fafae211000-7fafae21a000 r-xp 00000000 08:02 9716801 >> /local/sage/sage-7.6.beta4/local/lib/liblrcalc.so.1.0.1 >> 7fafae21a000-7fafae41a000 ---p 00009000 08:02 9716801 >> /local/sage/sage-7.6.beta4/local/lib/liblrcalc.so.1.0.1 >> 7fafae41a000-7fafae41b000 rw-p 00009000 08:02 9716801 >> /local/sage/sage-7.6.beta4/local/lib/liblrcalc.so.1.0.1 >> 7fafae41b000-7fafae435000 r-xp 00000000 08:02 6176057 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/lrcalc/lrcalc.so >> >> 7fafae435000-7fafae634000 ---p 0001a000 08:02 6176057 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/lrcalc/lrcalc.so >> >> 7fafae634000-7fafae638000 rw-p 00019000 08:02 6176057 >> >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/lrcalc/lrcalc.so >> >> 7fafae638000-7fafae6f9000 rw-p 00000000 00:00 0 >> 7fafae6f9000-7fafae708000 r-xp 00000000 08:02 10631657 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/parser.so >> 7fafae708000-7fafae908000 ---p 0000f000 08:02 10631657 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/parser.so >> 7fafae908000-7fafae909000 rw-p 0000f000 08:02 10631657 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/parser.so >> 7fafae909000-7fafae923000 r-xp 00000000 08:02 11409064 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/partitions.so >> >> 7fafae923000-7fafaeb22000 ---p 0001a000 08:02 11409064 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/partitions.so >> >> 7fafaeb22000-7fafaeb26000 rw-p 00019000 08:02 11409064 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/partitions.so >> >> 7fafaeb26000-7fafaec26000 rw-p 00000000 00:00 0 >> 7fafaec26000-7fafaec30000 r-xp 00000000 08:02 11408113 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/combinat/permutation_cython.so >> 7fafaec30000-7fafaee30000 ---p 0000a000 08:02 11408113 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/combinat/permutation_cython.so >> 7fafaee30000-7fafaee32000 rw-p 0000a000 08:02 11408113 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/combinat/permutation_cython.so >> 7fafaee32000-7fafaeeb2000 rw-p 00000000 00:00 0 >> 7fafaeeb2000-7fafaeeb8000 r-xp 00000000 08:02 10631649 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/_multiprocessing.so >> >> 7fafaeeb8000-7fafaf0b8000 ---p 00006000 08:02 10631649 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/_multiprocessing.so >> >> 7fafaf0b8000-7fafaf0b9000 rw-p 00006000 08:02 10631649 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/lib-dynload/_multiprocessing.so >> >> 7fafaf0b9000-7fafaf0f9000 rw-p 00000000 00:00 0 >> 7fafaf0f9000-7fafaf0fd000 r-xp 00000000 08:02 12321048 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/cysignals/alarm.so >> >> 7fafaf0fd000-7fafaf2fd000 ---p 00004000 08:02 12321048 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/cysignals/alarm.so >> >> 7fafaf2fd000-7fafaf2fe000 rw-p 00004000 08:02 12321048 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/cysignals/alarm.so >> >> 7fafaf2fe000-7fafaf313000 r-xp 00000000 08:02 9716853 >> /local/sage/sage-7.6.beta4/local/lib/libzn_poly-0.9.so >> 7fafaf313000-7fafaf513000 ---p 00015000 08:02 9716853 >> /local/sage/sage-7.6.beta4/local/lib/libzn_poly-0.9.so >> 7fafaf513000-7fafaf515000 rw-p 00015000 08:02 9716853 >> /local/sage/sage-7.6.beta4/local/lib/libzn_poly-0.9.so >> 7fafaf515000-7fafaf57e000 r-xp 00000000 08:02 12860772 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/modular/pollack_stevens/dist.so >> 7fafaf57e000-7fafaf77d000 ---p 00069000 08:02 12860772 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/modular/pollack_stevens/dist.so >> 7fafaf77d000-7fafaf788000 rw-p 00068000 08:02 12860772 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/modular/pollack_stevens/dist.so >> 7fafaf788000-7fafaf7c9000 rw-p 00000000 00:00 0 >> 7fafaf7c9000-7fafaf849000 r-xp 00000000 08:02 263219 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/quadratic_forms/ternary.so >> 7fafaf849000-7fafafa49000 ---p 00080000 08:02 263219 >> /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages >> /sage/quadratic_forms/ternary.so >> 7fafafa49000-7fafafa4e000 r... > > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. 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