// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n3664\ngeometric_solution 12.02019403\noriented_manifold\nCS_known 0.0000000000000003\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n13\n 1 2 2 3 \n 0132 0132 3201 0132\n 0 1 0 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 -1 1 1 0 -1 0 0 1 0 -1 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.405335255542 0.679503137419\n\n 0 4 5 4 \n 0132 0132 0132 1302\n 1 1 1 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 -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 0.373425783997 0.817105969879\n\n 0 0 6 6 \n 2310 0132 2310 0132\n 0 1 1 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 1 0 0 -1 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 1.352521501742 1.085431540835\n\n 7 8 0 4 \n 0132 0132 0132 2310\n 0 1 1 0 \n 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 -11 10 0 1 1 -2 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.225428779025 0.865678986462\n\n 3 1 1 6 \n 3201 0132 2031 3120\n 1 1 0 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 -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 0.537329168367 1.012386168329\n\n 9 6 10 1 \n 0132 1302 0132 0132\n 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 0 0 0 0 0 0 0 0 0 0 0 0\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 0.718290877177 1.081803614328\n\n 4 2 2 5 \n 3120 3201 0132 2031\n 0 1 0 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 -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 0.405335255542 0.679503137419\n\n 3 11 10 9 \n 0132 0132 3120 0132\n 1 1 0 1 \n 0 0 -1 1 0 0 0 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 0 11 -11 0 0 0 0 -1 1 0 0 11 -11 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.444615736219 0.532524120907\n\n 12 3 12 9 \n 0132 0132 3120 2031\n 0 1 0 1 \n 0 0 -1 1 0 0 0 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 -1 2 -1 0 0 -1 1 -2 2 0 0 10 -10 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.384280142444 0.990893126663\n\n 5 8 7 11 \n 0132 1302 0132 0132\n 1 1 0 0 \n 0 0 -1 1 0 0 0 0 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 -1 11 -10 0 0 0 0 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 0.452409144943 0.728073175912\n\n 11 12 7 5 \n 0132 0132 3120 0132\n 1 1 0 1 \n 0 0 0 0 0 0 0 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 0 0 1 0 0 -1 0 0 0 0 11 0 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.170081794152 0.539164815465\n\n 10 7 9 12 \n 0132 0132 0132 2103\n 1 1 1 0 \n 0 0 -1 1 0 0 0 0 1 -1 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 0 10 -10 -1 0 0 1 -11 11 0 0 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 2.298768158406 1.040694963617\n\n 8 10 8 11 \n 0132 0132 3120 2103\n 1 1 1 0 \n 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 -10 0 0 10 2 0 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.384280142444 0.990893126663\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' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_4'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_0110_4'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0101_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : 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'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_4'], 's_2_9' : d['1']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 14); 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);