Carlo Wood on Mon, 28 Apr 2008 04:54:39 +0200 |
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polmod ^ 0 loses base field modulo? |
Hi all! I'm very new to PARI/gp (since yesterday), so probably (hopefully) I'm doing something wrong. Nevertheless, I really don't understand what that would be. Here is what I did: ? T12 = Mod(1,2)*t^12 + Mod(1,2)*t^3 + Mod(1,2); ? g12 = Mod( Mod(1,2)*t^9 + Mod(1,2)*t^8 + Mod(1,2)*t^7 + Mod(1,2)*t^4 + Mod(1,2)*t^2 + Mod(1,2)*t, T12 ); Now g12 is a generator of the field F_2[t]/<t^12+t^3+1>. Then I did: ? g = g12^0 %10 = Mod(1, Mod(1, 2)*t^12 + Mod(1, 2)*t^3 + Mod(1, 2)) This SHOULD be the unity of said field, however: ? a = (g + 1/g) %12 = Mod(2, Mod(1, 2)*t^12 + Mod(1, 2)*t^3 + Mod(1, 2)) What is that 2 doing there? ? a == 0 %13 = 0 Can someone tell me what I'm doing wrong please? -- Carlo Wood <carlo@alinoe.com>