// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n24433\ngeometric_solution 11.08879537\noriented_manifold\nCS_known 0.0000000000000001\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n12\n 1 2 1 3 \n 0132 0132 3012 0132\n 0 1 0 1 \n 0 1 1 -2 0 0 0 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 -2 -3 5 0 0 -1 1 3 0 0 -3 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.763616850147 1.129764006128\n\n 0 0 5 4 \n 0132 1230 0132 0132\n 1 1 1 0 \n 0 0 1 -1 0 0 0 0 0 0 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 -7 6 0 0 0 0 1 0 0 -1 -3 3 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.177432364144 0.848016022533\n\n 5 0 7 6 \n 0132 0132 0132 0132\n 0 1 1 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 2 -2 0 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 0.403010520722 0.498875134595\n\n 8 9 0 10 \n 0132 0132 0132 0132\n 0 1 1 0 \n 0 -1 2 -1 0 0 0 0 0 -1 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 3 -5 2 1 0 -1 0 0 7 0 -7 -3 0 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.404424600080 1.013044101715\n\n 6 7 1 10 \n 3201 3201 0132 2103\n 1 1 0 1 \n 0 -1 1 0 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 6 -6 0 0 0 0 0 0 2 0 -2 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.547703398208 0.940568318095\n\n 2 6 10 1 \n 0132 2103 2103 0132\n 1 1 0 1 \n 0 0 1 -1 0 0 0 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 0 -7 7 0 0 0 0 0 0 0 0 0 -7 7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.468480198518 0.845601535094\n\n 8 5 2 4 \n 2103 2103 0132 2310\n 0 1 1 1 \n 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 -6 7 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.299404228854 1.640758970941\n\n 8 11 4 2 \n 3120 0132 2310 0132\n 0 1 0 1 \n 0 0 1 -1 0 0 0 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 0 -2 2 -1 0 1 0 0 0 0 0 0 6 -6 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.024307285903 0.858613235409\n\n 3 11 6 7 \n 0132 1302 2103 3120\n 1 1 0 1 \n 0 0 0 0 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 0 0 -1 0 0 1 3 -3 0 0 0 -6 6 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.712029508195 0.873929264429\n\n 10 3 11 11 \n 1302 0132 3201 0132\n 0 1 0 1 \n 0 1 0 -1 0 0 0 0 0 0 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 -3 0 3 0 0 0 0 0 0 0 0 7 -7 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.395097630212 0.710842282989\n\n 5 9 3 4 \n 2103 2031 0132 2103\n 0 1 1 1 \n 0 0 1 -1 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 0 -2 2 0 0 0 0 7 -7 0 0 -7 0 7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.460986139323 0.413666712648\n\n 9 7 9 8 \n 2310 0132 0132 2031\n 0 1 1 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 0 -3 3 0 0 0 0 0 -6 0 6 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.402633362451 1.074755786789\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_1001_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : 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' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : d['c_0011_4'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0110_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(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' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_10'], '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_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_0'])})}"; 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);