Representation of Matrices

• Optimal packed representation for matrices over $\mbox{\rm GF}(2)$, using bit operations.
• Efficient packed representation for matrices over all small finite fields, using lookup tables for vector operations.
• Fraction-free algorithms for matrices over $\mbox{\bf Q}$, reducing computations to those over $\mbox{\bf Z}$.
• Internal modular representations of matrices over $\mbox{\bf Z}$ or $\mbox{\bf Q}$, for several algorithms.
• Input of matrices using the ``Cambridge'' compact format