- stages in the expression swell analysis of the computation of the
characteristic polynomial of a general matrix containing
``prime'' 4-digit rational numbers (both the numerator and the denominator
consist of 4 digits)
- Initial matrix.

- The
*sizes*of the entries in the upper Hessenberg matrix*H*that is similar to*A*. For example, the (5,4) entry is a rational number with a 309-digit numerator and a 313-digit denominator!

- The
*sizes*of the coefficients of the characteristic polynomial . For example, the coefficient of is a rational number with a 98-digit numerator and a 100-digit denominator. The numbers involved involved have decreased in size, but are still large!

- Initial matrix.

Richard Liska