aboutsummaryrefslogtreecommitdiffstats
path: root/buch/chapters
diff options
context:
space:
mode:
authorAndreas Müller <andreas.mueller@ost.ch>2021-04-13 21:21:25 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2021-04-13 21:21:25 +0200
commit1fda316d0aacd6d068b3af4281871bee5b8e72cd (patch)
tree037f950ff6f2e62508ef24396477ec61004f703c /buch/chapters
parentadd example from Weitz (diff)
downloadSeminarMatrizen-1fda316d0aacd6d068b3af4281871bee5b8e72cd.tar.gz
SeminarMatrizen-1fda316d0aacd6d068b3af4281871bee5b8e72cd.zip
add rs example
Diffstat (limited to 'buch/chapters')
-rw-r--r--buch/chapters/30-endlichekoerper/rechnungen/rs.maxima29
1 files changed, 29 insertions, 0 deletions
diff --git a/buch/chapters/30-endlichekoerper/rechnungen/rs.maxima b/buch/chapters/30-endlichekoerper/rechnungen/rs.maxima
new file mode 100644
index 0000000..9116023
--- /dev/null
+++ b/buch/chapters/30-endlichekoerper/rechnungen/rs.maxima
@@ -0,0 +1,29 @@
+n: X^12 + 12;
+r: 7*X^11 + 4*X^10 + X^9 + 12*X^8 + 2*X^7 + 12*X^6;
+
+q0: 2*X+10;
+q1: 2*X+2;
+q2: 2*X+10;
+
+a0: n;
+b0: r;
+r0: expand(a0 - q0 * b0);
+
+a1: b0;
+b1: r0;
+r1: expand(a1 - q1 * b1);
+
+a2: b1;
+b2: r1;
+r2: expand(a2 - q2 * b2);
+
+K: matrix([1,0],[0,1]);
+
+K: expand(K . matrix([q0,1],[1,0]));
+K: expand(K . matrix([q1,1],[1,0]));
+K: expand(K . matrix([q2,1],[1,0]));
+
+u: 8*X^3+10*X^2+11*X+12;
+v: 4*X^2+11*X+8;
+
+factor(u), modulus:13;