// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n63006\ndegenerate_solution -0.00000008\noriented_manifold\nCS_unknown\n\n4 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n11\n 1 2 3 1 \n 0132 0132 0132 0132\n 0 2 2 1 \n 0 20 -1 -19 1 0 -1 0 0 0 0 0 20 -1 -19 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -21 1 20 1 0 -1 0 0 0 0 0 -19 1 18 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.500000000017 0.000000000226\n\n 0 2 0 3 \n 0132 0321 0132 0321\n 0 2 1 2 \n 0 -19 19 0 -1 0 0 1 -20 0 0 20 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 20 -20 0 -1 0 0 1 19 0 0 -19 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.999999999970 0.000000000482\n\n 3 0 4 1 \n 0321 0132 0132 0321\n 0 2 1 2 \n 0 -20 1 19 0 0 0 0 -1 1 0 0 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 21 -1 -20 0 0 0 0 1 -1 0 0 -2 0 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000023 0.000000001924\n\n 2 1 5 0 \n 0321 0321 0132 0132\n 0 2 1 2 \n 0 0 -1 1 1 0 -2 1 1 -20 0 19 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 1 -1 2 0 -3 1 -1 19 0 -18 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000023 0.000000001924\n\n 6 7 5 2 \n 0132 0132 0321 0132\n 0 2 2 2 \n 0 0 1 -1 0 0 0 0 0 1 0 -1 0 -2 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 -1 1 0 0 0 0 0 2 0 -2 0 -3 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.666666666684 0.000000000100\n\n 6 7 4 3 \n 2310 0213 0321 0132\n 0 2 2 2 \n 0 0 -1 1 0 0 -2 2 0 1 0 -1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 1 -1 0 0 -3 3 0 1 0 -1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.666666666675 0.000000000168\n\n 4 6 5 6 \n 0132 1302 3201 2031\n 2 2 2 2 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.750000000023 -0.000000000219\n\n 8 4 5 9 \n 0132 0132 0213 0132\n 0 2 2 2 \n 0 0 0 0 1 0 -1 0 0 2 0 -2 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 1 0 -1 0 0 3 0 -3 2 -2 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n-32896370.472067601979 584505869.553894519806\n\n 7 10 10 10 \n 0132 0132 0321 0213\n 3 2 2 2 \n 0 -1 -1 2 -1 0 1 0 -1 -1 0 2 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -3 -2 5 -1 0 1 0 -2 -1 0 3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000096 0.000000001705\n\n 10 9 7 9 \n 0321 0321 0132 0321\n 0 2 2 2 \n 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000937 -0.000000014238\n\n 9 8 8 8 \n 0321 0132 0321 0213\n 3 2 2 2 \n 0 1 1 -2 2 0 0 -2 0 0 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 3 2 -5 3 0 0 -3 0 0 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000096 0.000000001705\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_1001_10'], 'c_1010_10' : d['c_1001_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_3'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_1001_1'], 'c_1100_10' : d['c_1001_10'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 12); I := ideal; // Value indicating failure P := -1; // Computing the primary decomposition P,Q:=PrimaryDecomposition(I); if Type(P) eq RngIntElt then // Some error occured print "PRIMARY=DECOMPOSITION" cat "=FAILED"; else // Success print "PRIMARY=DECOMPOSITION" cat "=BEGINS=HERE"; P; print "PRIMARY=DECOMPOSITION" cat "=ENDS=HERE"; end if; print "CPUTIME :", Cputime(cputime);