#13878: Fix failing assertion in linbox/matrix/permutation-matrix.h
--------------------------------------------+-------------------------------
Reporter: SimonKing | Owner: jason, was
Type: defect | Status: new
Priority: major | Milestone: sage-5.6
Component: linear algebra | Resolution:
Keywords: debug, linbox, assertion | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
--------------------------------------------+-------------------------------
Comment (by SimonKing):
The gdb backtrace is as follows:
{{{
(gdb) bt
#0 0x00007ffff6d95d95 in raise () from /lib64/libc.so.6
#1 0x00007ffff6d972ab in abort () from /lib64/libc.so.6
#2 0x00007ffff2295f2d in __gnu_cxx::__verbose_terminate_handler() () from
/usr/lib64/libstdc++.so.6
#3 0x00007ffff22940d6 in ?? () from /usr/lib64/libstdc++.so.6
#4 0x00007ffff2294103 in std::terminate() () from
/usr/lib64/libstdc++.so.6
#5 0x00007ffff22941fe in __cxa_throw () from /usr/lib64/libstdc++.so.6
#6 0x00007fffd718c62f in LinBox::BlasPermutation<unsigned
long>::getWritePointer (this=0x7fffffff6760) at
/home/simon/SAGE/debug/sage-5.6.beta1/local/include/linbox/matrix
/permutation-matrix.h:175
#7 0x00007fffd717f0b1 in LinBox::LQUPMatrix<LinBox::Modular<double>
>::LQUPMatrix (this=0x7fffffff6700, A=..., P=..., Q=...)
at /home/simon/SAGE/debug/sage-5.6.beta1/local/include/linbox/matrix
/factorized-matrix.inl:810
#8 0x00007fffd716b350 in
LinBox::EchelonFormDomain<LinBox::Modular<double>
>::columnReducedEchelon<LinBox::BlasMatrix<LinBox::Modular<double> > >
(this=0x6a247c0, E=...)
at
/home/simon/SAGE/debug/sage-5.6.beta1/local/include/linbox/algorithms
/echelon-form.h:205
#9 0x00007fffd716653e in
LinBox::EchelonFormDomain<LinBox::Modular<double>
>::rowReducedEchelon<LinBox::BlasMatrix<LinBox::Modular<double> > >
(this=0x6a247c0, E=..., A=...)
at
/home/simon/SAGE/debug/sage-5.6.beta1/local/include/linbox/algorithms
/echelon-form.h:107
#10 0x00007fffd71279f5 in
__pyx_f_4sage_6matrix_24matrix_modn_dense_double_linbox_echelonize_efd
(__pyx_v_modulus=21059, __pyx_v_entries=0x6a24730, __pyx_v_nrows=0,
__pyx_v_ncols=100)
at sage/matrix/matrix_modn_dense_double.cpp:4074
#11 0x00007fffd71417ca in
__pyx_pf_4sage_6matrix_24matrix_modn_dense_double_26Matrix_modn_dense_template_34_echelonize_linbox
(__pyx_v_self=0x66aa6d8, __pyx_v_efd=0x7ffff7d89ec0 <_Py_TrueStruct>)
at sage/matrix/matrix_modn_dense_double.cpp:11280
#12 0x00007fffd71411c1 in
__pyx_pw_4sage_6matrix_24matrix_modn_dense_double_26Matrix_modn_dense_template_35_echelonize_linbox
(__pyx_v_self=0x66aa6d8, __pyx_args=0x7ffff7f90060, __pyx_kwds=0x6a39940)
at sage/matrix/matrix_modn_dense_double.cpp:11185
#13 0x00007ffff7a21088 in PyCFunction_Call (func=0x66b40d8,
arg=0x7ffff7f90060, kw=0x6a39940) at Objects/methodobject.c:85
#14 0x00007ffff79be33e in PyObject_Call (func=0x66b40d8,
arg=0x7ffff7f90060, kw=0x6a39940) at Objects/abstract.c:2529
#15 0x00007fffd713f3ce in
__pyx_pf_4sage_6matrix_24matrix_modn_dense_double_26Matrix_modn_dense_template_32echelonize
(__pyx_v_self=0x66aa6d8, __pyx_v_algorithm=0x26ae2e0,
__pyx_v_kwds=0x6a37920)
at sage/matrix/matrix_modn_dense_double.cpp:10889
#16 0x00007fffd713e64a in
__pyx_pw_4sage_6matrix_24matrix_modn_dense_double_26Matrix_modn_dense_template_33echelonize
(__pyx_v_self=0x66aa6d8, __pyx_args=0x7ffff7f90060, __pyx_kwds=0x6a368f0)
at sage/matrix/matrix_modn_dense_double.cpp:10738
#17 0x00007ffff7a21088 in PyCFunction_Call (func=0x65abc90,
arg=0x7ffff7f90060, kw=0x6a368f0) at Objects/methodobject.c:85
#18 0x00007ffff79be33e in PyObject_Call (func=0x65abc90,
arg=0x7ffff7f90060, kw=0x6a368f0) at Objects/abstract.c:2529
#19 0x00007fffd9b50c55 in
__pyx_pf_4sage_6matrix_7matrix2_6Matrix_134echelon_form
(__pyx_v_self=0x66aa568, __pyx_v_algorithm=0x653be0,
__pyx_v_cutoff=0x61f5b8, __pyx_v_kwds=0x67154d0)
at sage/matrix/matrix2.c:31710
#20 0x00007fffd9b4ffca in
__pyx_pw_4sage_6matrix_7matrix2_6Matrix_135echelon_form
(__pyx_v_self=0x66aa568, __pyx_args=0x7ffff7f90060, __pyx_kwds=0x0) at
sage/matrix/matrix2.c:31508
#21 0x00007ffff7a21088 in PyCFunction_Call (func=0xfb0588,
arg=0x7ffff7f90060, kw=0x0) at Objects/methodobject.c:85
#22 0x00007ffff79be33e in PyObject_Call (func=0xfb0588,
arg=0x7ffff7f90060, kw=0x0) at Objects/abstract.c:2529
#23 0x00007fffd95f2e94 in
__pyx_pf_4sage_6matrix_7matrix0_6Matrix_124pivots (__pyx_v_self=0x66aa568)
at sage/matrix/matrix0.c:20883
---Type <return> to continue, or q <return> to quit---
#24 0x00007fffd95f2af1 in
__pyx_pw_4sage_6matrix_7matrix0_6Matrix_125pivots (__pyx_v_self=0x66aa568,
unused=0x0) at sage/matrix/matrix0.c:20807
#25 0x00007ffff7ac675c in call_function (pp_stack=0x7fffffff72d0, oparg=0)
at Python/ceval.c:4005
#26 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x6817650, throwflag=0) at
Python/ceval.c:2666
#27 0x00007ffff7ac708a in fast_function (func=0x66b1a38,
pp_stack=0x7fffffff7650, n=1, na=1, nk=0) at Python/ceval.c:4107
#28 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffff7650, oparg=1)
at Python/ceval.c:4042
#29 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x6804350, throwflag=0) at
Python/ceval.c:2666
#30 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x6580eb0,
globals=0x6715380, locals=0x0, args=0x68042c0, argcount=1, kws=0x68042c8,
kwcount=2, defs=0x0, defcount=0, closure=0x0) at Python/ceval.c:3253
#31 0x00007ffff7ac71b5 in fast_function (func=0x66b1cd8,
pp_stack=0x7fffffff7b40, n=5, na=1, nk=2) at Python/ceval.c:4117
#32 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffff7b40,
oparg=513) at Python/ceval.c:4042
#33 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x68040f0, throwflag=0) at
Python/ceval.c:2666
#34 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x65807d0,
globals=0x6715380, locals=0x0, args=0x81b948, argcount=1, kws=0x64fb770,
kwcount=2, defs=0x66a96a0, defcount=2, closure=0x0)
at Python/ceval.c:3253
#35 0x00007ffff79fd3fb in function_call (func=0x66b1e28, arg=0x81b920,
kw=0x6716c20) at Objects/funcobject.c:526
#36 0x00007ffff79be33e in PyObject_Call (func=0x66b1e28, arg=0x81b920,
kw=0x6716c20) at Objects/abstract.c:2529
#37 0x00007fffd7cd0cd1 in
__pyx_pf_4sage_6matrix_20matrix_integer_dense_20Matrix_integer_dense_58echelon_form
(__pyx_v_self=0x667ef60, __pyx_v_algorithm=0x25d53a0,
__pyx_v_proof=0x7ffff7d89ec0 <_Py_TrueStruct>,
__pyx_v_include_zero_rows=0x7ffff7d89ec0 <_Py_TrueStruct>,
__pyx_v_transformation=0x7ffff7d89e80 <_Py_ZeroStruct>,
__pyx_v_D=0x7ffff7d9db00 <_Py_NoneStruct>) at
sage/matrix/matrix_integer_dense.c:15876
#38 0x00007fffd7ccdfeb in
__pyx_pw_4sage_6matrix_20matrix_integer_dense_20Matrix_integer_dense_59echelon_form
(__pyx_v_self=0x667ef60, __pyx_args=0x7ffff7f90060, __pyx_kwds=0x0)
at sage/matrix/matrix_integer_dense.c:15247
#39 0x00007ffff7a21088 in PyCFunction_Call (func=0xfb0420,
arg=0x7ffff7f90060, kw=0x0) at Objects/methodobject.c:85
#40 0x00007ffff7ac6b75 in call_function (pp_stack=0x7fffffff8310, oparg=0)
at Python/ceval.c:4021
#41 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x67e9f70, throwflag=0) at
Python/ceval.c:2666
#42 0x00007ffff7ac708a in fast_function (func=0x2678060,
pp_stack=0x7fffffff8690, n=3, na=3, nk=0) at Python/ceval.c:4107
#43 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffff8690, oparg=2)
at Python/ceval.c:4042
#44 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x6714910, throwflag=0) at
Python/ceval.c:2666
#45 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x2601880,
globals=0x25c2ed0, locals=0x0, args=0x611ead8, argcount=2, kws=0x610f088,
kwcount=3, defs=0x260c660, defcount=4, closure=0x0)
at Python/ceval.c:3253
#46 0x00007ffff79fd3fb in function_call (func=0x2676d80, arg=0x611eab0,
kw=0xff20c0) at Objects/funcobject.c:526
#47 0x00007ffff79be33e in PyObject_Call (func=0x2676d80, arg=0x611eab0,
kw=0xff20c0) at Objects/abstract.c:2529
#48 0x00007ffff79da311 in instancemethod_call (func=0x2676d80,
arg=0x611eab0, kw=0xff20c0) at Objects/classobject.c:2578
#49 0x00007ffff79be33e in PyObject_Call (func=0x6110460, arg=0x611eab0,
kw=0xff20c0) at Objects/abstract.c:2529
#50 0x00007ffff7ac7a58 in do_call (func=0x6110460,
pp_stack=0x7fffffff8ed0, na=2, nk=3) at Python/ceval.c:4239
#51 0x00007ffff7ac6d92 in call_function (pp_stack=0x7fffffff8ed0,
oparg=770) at Python/ceval.c:4044
---Type <return> to continue, or q <return> to quit---
#52 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x67146c0, throwflag=0) at
Python/ceval.c:2666
#53 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x2604d50,
globals=0x25c2ed0, locals=0x0, args=0x65ad788, argcount=3, kws=0xc16cc0,
kwcount=2, defs=0x24b68f8, defcount=2, closure=0x0)
at Python/ceval.c:3253
#54 0x00007ffff79fd3fb in function_call (func=0x2678ed0, arg=0x65ad760,
kw=0xfef740) at Objects/funcobject.c:526
#55 0x00007ffff79be33e in PyObject_Call (func=0x2678ed0, arg=0x65ad760,
kw=0xfef740) at Objects/abstract.c:2529
#56 0x00007ffff79da311 in instancemethod_call (func=0x2678ed0,
arg=0x65ad760, kw=0xfef740) at Objects/classobject.c:2578
#57 0x00007ffff79be33e in PyObject_Call (func=0x61106e0, arg=0x611e7e0,
kw=0xfef740) at Objects/abstract.c:2529
#58 0x00007ffff7a5f346 in slot_tp_init (self=0x6714550, args=0x611e7e0,
kwds=0xfef740) at Objects/typeobject.c:5663
#59 0x00007ffff7a4c0dd in type_call (type=0x261c080, args=0x611e7e0,
kwds=0xfef740) at Objects/typeobject.c:737
#60 0x00007ffff79be33e in PyObject_Call (func=0x261c080, arg=0x611e7e0,
kw=0xfef740) at Objects/abstract.c:2529
#61 0x00007ffff7ac7a58 in do_call (func=0x261c080,
pp_stack=0x7fffffff97d0, na=2, nk=2) at Python/ceval.c:4239
#62 0x00007ffff7ac6d92 in call_function (pp_stack=0x7fffffff97d0,
oparg=514) at Python/ceval.c:4044
#63 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x6713f10, throwflag=0) at
Python/ceval.c:2666
#64 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x25f0930,
globals=0x25c2ed0, locals=0x0, args=0xff7518, argcount=2, kws=0xff7528,
kwcount=0, defs=0x2603c88, defcount=3, closure=0x0)
at Python/ceval.c:3253
#65 0x00007ffff7ac71b5 in fast_function (func=0x2674648,
pp_stack=0x7fffffff9cc0, n=2, na=2, nk=0) at Python/ceval.c:4117
#66 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffff9cc0, oparg=1)
at Python/ceval.c:4042
#67 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0xff7360, throwflag=0) at
Python/ceval.c:2666
#68 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x5db5670,
globals=0x561c7e0, locals=0x0, args=0xfa8f08, argcount=3, kws=0x0,
kwcount=0, defs=0x0, defcount=0, closure=0x0) at Python/ceval.c:3253
#69 0x00007ffff79fd3fb in function_call (func=0x5dbc5a0, arg=0xfa8ee0,
kw=0x0) at Objects/funcobject.c:526
#70 0x00007ffff79be33e in PyObject_Call (func=0x5dbc5a0, arg=0xfa8ee0,
kw=0x0) at Objects/abstract.c:2529
#71 0x00007ffff79da311 in instancemethod_call (func=0x5dbc5a0,
arg=0xfa8ee0, kw=0x0) at Objects/classobject.c:2578
#72 0x00007ffff79be33e in PyObject_Call (func=0x6110560, arg=0x611e678,
kw=0x0) at Objects/abstract.c:2529
#73 0x00007ffff7a5f346 in slot_tp_init (self=0xff69d0, args=0x611e678,
kwds=0x0) at Objects/typeobject.c:5663
#74 0x00007ffff7a4c0dd in type_call (type=0x5dde2b0, args=0x611e678,
kwds=0x0) at Objects/typeobject.c:737
#75 0x00007ffff79be33e in PyObject_Call (func=0x5dde2b0, arg=0x611e678,
kw=0x0) at Objects/abstract.c:2529
#76 0x00007ffff7ac7a58 in do_call (func=0x5dde2b0,
pp_stack=0x7fffffffa5c0, na=2, nk=0) at Python/ceval.c:4239
#77 0x00007ffff7ac6d92 in call_function (pp_stack=0x7fffffffa5c0, oparg=2)
at Python/ceval.c:4044
#78 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x6235f40, throwflag=0) at
Python/ceval.c:2666
#79 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x5db5bf0,
globals=0x561c7e0, locals=0x0, args=0x6235db0, argcount=1, kws=0x6235db8,
kwcount=0, defs=0x5db9638, defcount=1, closure=0x0)
at Python/ceval.c:3253
#80 0x00007ffff7ac71b5 in fast_function (func=0x5dadae0,
pp_stack=0x7fffffffaab0, n=1, na=1, nk=0) at Python/ceval.c:4117
#81 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffffaab0, oparg=1)
at Python/ceval.c:4042
---Type <return> to continue, or q <return> to quit---
#82 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x6235c20, throwflag=0) at
Python/ceval.c:2666
#83 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x8a5d50,
globals=0xfddea0, locals=0xfddea0, args=0x0, argcount=0, kws=0x0,
kwcount=0, defs=0x0, defcount=0, closure=0x0) at Python/ceval.c:3253
#84 0x00007ffff7ab9a88 in PyEval_EvalCode (co=0x8a5d50, globals=0xfddea0,
locals=0xfddea0) at Python/ceval.c:667
#85 0x00007ffff7ac9693 in exec_statement (f=0x55054e0, prog=0x8a5d50,
globals=0xfddea0, locals=0xfddea0) at Python/ceval.c:4718
#86 0x00007ffff7abde26 in PyEval_EvalFrameEx (f=0x55054e0, throwflag=0) at
Python/ceval.c:1880
#87 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0xecd720,
globals=0xc4d510, locals=0x0, args=0x5504d80, argcount=2, kws=0x5504d90,
kwcount=0, defs=0x0, defcount=0, closure=0x0) at Python/ceval.c:3253
#88 0x00007ffff7ac71b5 in fast_function (func=0xf96450,
pp_stack=0x7fffffffb430, n=2, na=2, nk=0) at Python/ceval.c:4117
#89 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffffb430, oparg=1)
at Python/ceval.c:4042
#90 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x5504bd0, throwflag=0) at
Python/ceval.c:2666
#91 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0xecd5c0,
globals=0xc4d510, locals=0x0, args=0x614d2d8, argcount=3, kws=0x614d2f0,
kwcount=0, defs=0xf8ff10, defcount=2, closure=0x0)
at Python/ceval.c:3253
#92 0x00007ffff7ac71b5 in fast_function (func=0xf963a8,
pp_stack=0x7fffffffb920, n=3, na=3, nk=0) at Python/ceval.c:4117
#93 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffffb920, oparg=2)
at Python/ceval.c:4042
#94 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x614d130, throwflag=0) at
Python/ceval.c:2666
#95 0x00007ffff7ac708a in fast_function (func=0xf964f8,
pp_stack=0x7fffffffbca0, n=2, na=2, nk=0) at Python/ceval.c:4107
#96 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffffbca0, oparg=1)
at Python/ceval.c:4042
#97 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0xff4830, throwflag=0) at
Python/ceval.c:2666
#98 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0xecb9e0,
globals=0xc4d510, locals=0x0, args=0xfee328, argcount=2, kws=0xfee338,
kwcount=0, defs=0xf951d8, defcount=1, closure=0x0)
at Python/ceval.c:3253
#99 0x00007ffff7ac71b5 in fast_function (func=0xf94e28,
pp_stack=0x7fffffffc190, n=2, na=2, nk=0) at Python/ceval.c:4117
#100 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffffc190,
oparg=1) at Python/ceval.c:4042
#101 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0xfee190, throwflag=0) at
Python/ceval.c:2666
#102 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0xec7f60,
globals=0xc4d510, locals=0x0, args=0xff9bb0, argcount=2, kws=0xff9bc0,
kwcount=0, defs=0xf95168, defcount=1, closure=0x0)
at Python/ceval.c:3253
#103 0x00007ffff7ac71b5 in fast_function (func=0xf94a38,
pp_stack=0x7fffffffc680, n=2, na=2, nk=0) at Python/ceval.c:4117
#104 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffffc680,
oparg=1) at Python/ceval.c:4042
#105 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0xff9a10, throwflag=0) at
Python/ceval.c:2666
#106 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x8db510,
globals=0x8b46d0, locals=0x0, args=0x850278, argcount=1, kws=0x850280,
kwcount=2, defs=0xddfb50, defcount=2, closure=0x0)
at Python/ceval.c:3253
#107 0x00007ffff7ac71b5 in fast_function (func=0xfa2450,
pp_stack=0x7fffffffcb70, n=5, na=1, nk=2) at Python/ceval.c:4117
#108 0x00007ffff7ac6d76 in call_function (pp_stack=0x7fffffffcb70,
oparg=512) at Python/ceval.c:4042
#109 0x00007ffff7ac16ba in PyEval_EvalFrameEx (f=0x8500f0, throwflag=0) at
Python/ceval.c:2666
#110 0x00007ffff7ac40aa in PyEval_EvalCodeEx (co=0x8001a0,
globals=0x684820, locals=0x684820, args=0x0, argcount=0, kws=0x0,
kwcount=0, defs=0x0, defcount=0, closure=0x0) at Python/ceval.c:3253
---Type <return> to continue, or q <return> to quit---
#111 0x00007ffff7ab9a88 in PyEval_EvalCode (co=0x8001a0, globals=0x684820,
locals=0x684820) at Python/ceval.c:667
#112 0x00007ffff7af836d in run_mod (mod=0x856078, filename=0x7fffffffd897
"/home/simon/SAGE/debug/sage-5.6.beta1/local/bin/sage-ipython",
globals=0x684820, locals=0x684820, flags=0x7fffffffd0a0,
arena=0x76c9c0) at Python/pythonrun.c:1347
#113 0x00007ffff7af82f3 in PyRun_FileExFlags (fp=0x684a90,
filename=0x7fffffffd897 "/home/simon/SAGE/debug/sage-5.6.beta1/local/bin
/sage-ipython", start=257, globals=0x684820, locals=0x684820,
closeit=1, flags=0x7fffffffd0a0) at Python/pythonrun.c:1333
#114 0x00007ffff7af6aa0 in PyRun_SimpleFileExFlags (fp=0x684a90,
filename=0x7fffffffd897 "/home/simon/SAGE/debug/sage-5.6.beta1/local/bin
/sage-ipython", closeit=1, flags=0x7fffffffd0a0)
at Python/pythonrun.c:937
#115 0x00007ffff7af6092 in PyRun_AnyFileExFlags (fp=0x684a90,
filename=0x7fffffffd897 "/home/simon/SAGE/debug/sage-5.6.beta1/local/bin
/sage-ipython", closeit=1, flags=0x7fffffffd0a0)
at Python/pythonrun.c:741
#116 0x00007ffff7b12536 in Py_Main (argc=3, argv=0x7fffffffd228) at
Modules/main.c:639
#117 0x00000000004007b4 in main (argc=3, argv=0x7fffffffd228) at
./Modules/python.c:23
}}}
Question: Is that an upstream bug or a bug in the Sage library?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13878#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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