// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n1255\ngeometric_solution 11.39388178\noriented_manifold\nCS_known -0.0000000000000002\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n12\n 1 2 3 3 \n 0132 0132 0132 0321\n 1 1 1 1 \n 0 0 0 0 1 0 0 -1 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 1 0 -1 -16 0 0 16 1 0 0 -1 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.680154173740 1.082473226620\n\n 0 4 6 5 \n 0132 0132 0132 0132\n 0 1 1 1 \n 0 -1 0 1 -1 0 1 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 1 0 -1 16 0 -16 0 1 -1 0 0 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.457341036072 0.570214329076\n\n 7 0 8 6 \n 0132 0132 0132 3120\n 1 1 1 1 \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 -1 1 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 0.393241579452 1.223960164436\n\n 9 0 10 0 \n 0132 0321 0132 0132\n 1 1 1 1 \n 0 0 0 0 -1 0 1 0 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 1 -1 0 17 0 -17 0 0 1 0 -1 0 -16 16 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.583840150446 0.662323209250\n\n 10 1 8 11 \n 1023 0132 3120 0132\n 0 1 1 1 \n 0 1 -1 0 -1 0 1 0 1 0 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 -1 0 1 17 0 -17 0 -16 -1 0 17 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.207474860972 1.278428561139\n\n 9 11 1 8 \n 2103 0132 0132 3120\n 0 1 1 1 \n 0 0 -1 1 1 0 0 -1 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 -1 1 0 -17 0 0 17 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 0.586683510061 0.887825481537\n\n 2 8 11 1 \n 3120 3120 0132 0132\n 0 1 1 1 \n 0 0 0 0 0 0 1 -1 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 -16 16 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 0.696620789726 0.611980082218\n\n 2 10 9 9 \n 0132 1023 0213 2103\n 1 1 1 1 \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 0.457341036072 0.570214329076\n\n 5 6 4 2 \n 3120 3120 3120 0132\n 1 1 1 0 \n 0 0 0 0 1 0 -1 0 0 0 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 0 1 -1 -17 0 17 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 0.381031816523 0.370287184824\n\n 3 7 5 7 \n 0132 0213 2103 2103\n 1 1 1 1 \n 0 0 0 0 1 0 -1 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 -17 0 17 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 0.643083040963 0.785839705900\n\n 7 4 11 3 \n 1023 1023 1302 0132\n 1 1 1 1 \n 0 1 -1 0 0 0 1 -1 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 -17 16 1 0 0 -17 17 0 16 0 -16 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.603737430486 0.639214280570\n\n 10 5 4 6 \n 2031 0132 0132 0132\n 0 1 1 1 \n 0 0 0 0 1 0 0 -1 0 0 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 1 -1 0 -16 0 0 16 0 0 0 0 17 0 -17 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.123686490316 0.762137355371\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0101_4'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_1001_4']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0101_4']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 13); 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);