Jeroen Demeyer on Wed, 8 Oct 2003 18:32:57 +0200 |
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Oddities modulo multivariate polynomials |
Could anyone please explain what is happening here: GP/PARI CALCULATOR Version 2.1.5 (released) i686 running linux (ix86 kernel) 32-bit version (readline v4.3 enabled, extended help available) ? Y /* Make sure Y is defined first */ %1 = Y ? (Y^2) % (X^3 - Y^2) %2 = X^3 ? (X^3) % (X^2 + 1) %3 = -X ? ((Y^2) % (X^3 - Y^2)) % (X^2 + 1) %4 = 0 How come the outputs of the two last statements are different? Is this a bug or am I doing something wrong? Any help would be appreciated. -- Finding a good signature is left as an exercise for the reader.