// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n24993\ngeometric_solution 11.64785529\noriented_manifold\nCS_known 0.0000000000000000\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n13\n 1 2 3 4 \n 0132 0132 0132 0132\n 0 1 1 1 \n 0 1 -1 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 -3 2 1 0 0 -1 1 0 0 0 0 3 -3 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.511019187213 0.250854341262\n\n 0 2 6 5 \n 0132 0213 0132 0132\n 0 1 1 1 \n 0 -1 0 1 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 3 0 -3 0 0 0 0 -3 0 0 3 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.792013906789 0.847944609950\n\n 7 0 1 8 \n 0132 0132 0213 0132\n 0 1 1 1 \n 0 -1 1 0 -1 0 0 1 1 -1 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 3 -3 0 4 0 0 -4 -3 3 0 0 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.767859658841 0.600617015121\n\n 7 9 10 0 \n 2310 0132 0132 0132\n 0 1 1 1 \n 0 -1 0 1 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 0 -2 -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 -0.205440966294 1.258263490999\n\n 11 9 0 5 \n 0132 0321 0132 0213\n 0 1 1 1 \n 0 1 0 -1 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 -1 3 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 0.386959768477 1.038668859214\n\n 8 10 1 4 \n 0321 0213 0132 0213\n 0 1 1 1 \n 0 0 -1 1 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 3 -3 0 0 0 0 1 0 0 -1 4 -1 -3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.739999595242 0.753754806738\n\n 11 8 10 1 \n 3120 0321 0213 0132\n 0 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 -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 0.481487672376 0.826120136880\n\n 2 11 3 12 \n 0132 2103 3201 0132\n 1 1 1 1 \n 0 0 0 0 1 0 0 -1 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 -4 0 0 4 -1 0 0 1 3 -4 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.191981052894 1.118882156647\n\n 5 9 2 6 \n 0321 0213 0132 0321\n 0 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 -4 0 4 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 0.182301326038 0.770080442988\n\n 12 3 8 4 \n 3201 0132 0213 0321\n 0 1 1 1 \n 0 1 0 -1 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 0 2 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 0.704187092856 0.862287951780\n\n 12 6 5 3 \n 1023 0213 0213 0132\n 0 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 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.069922629511 0.988679483060\n\n 4 7 12 6 \n 0132 2103 3201 3120\n 1 1 1 1 \n 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 4 -4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.319677117069 1.553083852034\n\n 11 10 7 9 \n 2310 1023 0132 2310\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 4 0 -4 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 -0.396427039202 0.477500464124\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_0011_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_5'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_10'], '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_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : 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' : negation(d['c_0011_0']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_5'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_1'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1010_5'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1010_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_1'], '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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], '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_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0101_0']), '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_0011_11'], 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], '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);