Here is the code:

----------------------------------------------------------------------
| Sage Version 4.2.1, Release Date: 2009-11-14                       |
| Type notebook() for the GUI, and license() for information.        |
----------------------------------------------------------------------
sage: q = 3
sage: F.<a> = FiniteField(q)
sage: P.<T> = PolynomialRing(F)
sage: PP.<z> = PolynomialRing(P)
sage: time (z + 1)^81
CPU times: user 0.17 s, sys: 0.00 s, total: 0.17 s
Wall time: 0.17 s
z^81 + 1
sage: time (2*z + 1)^81
CPU times: user 0.17 s, sys: 0.00 s, total: 0.17 s
Wall time: 0.17 s
2*z^81 + 1
sage: time (2*T*z + 1)^81
CPU times: user 0.17 s, sys: 0.00 s, total: 0.18 s
Wall time: 0.18 s
2*T^81*z^81 + 1
sage: time (z^3 + T*z)^81
CPU times: user 1.00 s, sys: 0.00 s, total: 1.00 s
Wall time: 1.00 s
z^243 + T^81*z^81
sage: time (z^3 + T*z)^(81*3)
CPU times: user 6.49 s, sys: 0.03 s, total: 6.51 s
Wall time: 6.51 s
z^729 + T^243*z^243
sage: time (z^3 + T*z)^(3^6)
CPU times: user 71.92 s, sys: 0.06 s, total: 71.98 s
Wall time: 72.38 s
z^2187 + T^729*z^729
sage: time (z^3 + T*z)^(3^7)
^CException KeyboardInterrupt: KeyboardInterrupt() in
'sage.rings.polynomial.polynomial_zmod_flint.get_cparent' ignored
^C

------------------------------------------------------------
Unhandled SIGFPE: An unhandled floating point exception occured in
SAGE.
This probably occured because a *compiled* component
of SAGE has a bug in it (typically accessing invalid memory)
or is not properly wrapped with _sig_on, _sig_off.
You might want to run SAGE under gdb with 'sage -gdb' to debug this.
SAGE will now terminate (sorry).
------------------------------------------------------------





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