On Tuesday, February 21, 2017 at 4:11:29 PM UTC, Bill Hart wrote: > > 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. >
OK --- I knew that Flint does "some" Smith normal forms, so it's presumably not the ones here. > > On 21 February 2017 at 16:59, Dima Pasechnik <dim...@gmail.com > <javascript:>> 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(PyObject_Call+0x43)[0x7fb0d72ad483] > > > /local/sage/sage-7.6.beta4/local/lib/libpython2.7.so.1.0(PyEval_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(PyEval_EvalFrameEx+0x79f7)[0x7fb0d73649e7] > > > /local/sage/sage-7.6.beta4/local/lib/libpython2.7.so.1.0(PyEval_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-packages/sage/rings/fraction_field_FpT.so > > > 7fafa5ac6000-7fafa5cc5000 ---p 00037000 08:02 7113656 > > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/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-packages/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 > 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263316 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/games/sudoku_backtrack.so > > > 7fafa83bc000-7fafa857c000 rw-p 00000000 00:00 0 > 7fafa857c000-7fafa85ac000 r-xp 00000000 08:02 11405944 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/geometry/triangulation/base.so > > > 7fafa85ac000-7fafa87ac000 ---p 00030000 08:02 11405944 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/geometry/triangulation/base.so > > > 7fafa87ac000-7fafa87b4000 rw-p 00030000 08:02 11405944 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/geometry/triangulation/base.so > > > 7fafa87b4000-7fafa87f4000 rw-p 00000000 00:00 0 > 7fafa87f4000-7fafa8806000 r-xp 00000000 08:02 11408192 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/degree_sequences.so > > > 7fafa8806000-7fafa8a05000 ---p 00012000 08:02 11408192 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/degree_sequences.so > > > 7fafa8a05000-7fafa8a08000 rw-p 00011000 08:02 11408192 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/degree_sequences.so > > > 7fafa8a08000-7fafa8a88000 rw-p 00000000 00:00 0 > 7fafa8a88000-7fafa8a99000 r-xp 00000000 08:02 11408134 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/enumeration_mod_permgroup.so > > > 7fafa8a99000-7fafa8c99000 ---p 00011000 08:02 11408134 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/enumeration_mod_permgroup.so > > > 7fafa8c99000-7fafa8c9c000 rw-p 00011000 08:02 11408134 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/enumeration_mod_permgroup.so > > > 7fafa8c9c000-7fafa8cdc000 rw-p 00000000 00:00 0 > 7fafa8cdc000-7fafa8cf6000 r-xp 00000000 08:02 11408158 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/combinat/matrices/dancing_links.so > > > 7fafa8cf6000-7fafa8ef6000 ---p 0001a000 08:02 11408158 > 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> 7fafab243000-7fafab443000 ---p 00010000 08:02 7357502 > > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/calculus/integration.so > > > 7fafab443000-7fafab446000 rw-p 00010000 08:02 7357502 > > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/calculus/integration.so > > > 7fafab446000-7fafab46e000 r-xp 00000000 08:02 263484 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/probability/probability_distribution.so > > > 7fafab46e000-7fafab66d000 ---p 00028000 08:02 263484 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/probability/probability_distribution.so > > > 7fafab66d000-7fafab674000 rw-p 00027000 08:02 263484 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/probability/probability_distribution.so > > > 7fafab674000-7fafab734000 rw-p 00000000 00:00 0 > 7fafab734000-7fafab770000 r-xp 00000000 08:02 11405953 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/geometry/integral_points.so > > > 7fafab770000-7fafab970000 ---p 0003c000 08:02 11405953 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/geometry/integral_points.so > > > 7fafab970000-7fafab979000 rw-p 0003c000 08:02 11405953 > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/geometry/integral_points.so > > > 7fafab979000-7fafabaac000 r-xp 00000000 08:02 9719924 > /local/sage/sage-7.6.beta4/local/lib/libppl.so.14.0.0 > 7fafabaac000-7fafabcab000 ---p 00133000 08:02 9719924 > /local/sage/sage-7.6.beta4/local/lib/libppl.so.14.0.0 > 7fafabcab000-7fafabcaf000 rw-p 00132000 08:02 9719924 > /local/sage/sage-7.6.beta4/local/lib/libppl.so.14.0.0 > 7fafabcaf000-7fafabcb4000 rw-p 00000000 00:00 0 > 7fafabcb4000-7fafabd1e000 r-xp 00000000 08:02 6176030 > > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/ppl.so > > 7fafabd1e000-7fafabf1d000 ---p 0006a000 08:02 6176030 > > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/ppl.so > > 7fafabf1d000-7fafabf43000 rw-p 00069000 08:02 6176030 > > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/sage/libs/ppl.so > > 7fafabf43000-7fafabf84000 rw-p 00000000 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-packages/sage/schemes/hyperelliptic_curves/hypellfrob.so > > > 7fafad69d000-7fafad89c000 ---p 0003e000 08:02 6176305 > > /local/sage/sage-7.6.beta4/local/lib/python2.7/site-packages/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-packages/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-packages/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-packages/sage/groups/perm_gps/partn_ > > ... -- You received this message because you are subscribed to the Google Groups "sage-devel" group. 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