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A.1.4 Long coefficients
The following innocent example produces in its standard basis
extremely long coefficients in char 0 for the lexicographical
ordering.
But a very small deformation does not (the undeformed
example is degenerated with respect to the Newton boundary).
This example demonstrates that it might be wise, for complicated
examples, to do the calculation first in positive char (e.g., 32003).
It has been shown, that in complicated examples, more than 95 percent of
the time needed for a standard basis computation is used in the
computation of the coefficients (in char 0).
The representation of long integers with real is demonstrated.
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