I'm computing with sparse rational matrices of moderate size (about
55x55). Curiously, a lot of time seems to be spent in functions
constructing matrices, for instance from list of sparse vectors.

      112    0.385    0.003    0.772    0.007 constructor.py:33
(matrix)
  369/321    0.012    0.000    0.419    0.001 matrix_space.py:256
(__call__)
       12    0.311    0.026    0.313    0.026 matrix_space.py:1216
(list_to_dict)
     1566    0.190    0.000    0.214    0.000 free_module.py:736
(__call__)
        2    0.043    0.021    0.197    0.098 {method 'stack' of
'sage.matrix.matrix1.Matrix' objects}

Any advice on possible speedups? Is there some kind of specialized
library that implements faster matrices?

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