// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL12n1312\ngeometric_solution 10.54321181\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 4 \n 0132 0132 0132 0132\n 0 1 0 1 \n 0 0 0 0 0 0 1 -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 -1 0 1 -1 0 0 1 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 -0.046828413429 0.521500254766\n\n 0 5 7 6 \n 0132 0132 0132 0132\n 0 1 1 0 \n 0 1 -1 0 0 0 0 0 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 -4 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 1.527896755679 0.850589558066\n\n 8 0 9 9 \n 0132 0132 1230 0132\n 0 0 1 0 \n 0 0 0 0 0 0 0 0 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 1 0 -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 0.553773509824 0.807298273351\n\n 10 7 4 0 \n 0132 2031 3201 0132\n 0 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 0 0 0 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 2.043815365076 0.719746797263\n\n 3 11 0 11 \n 2310 0132 0132 2310\n 0 1 1 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 1 -1 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 0.004326128296 1.008127097522\n\n 10 1 10 6 \n 1302 0132 0321 2103\n 0 1 0 1 \n 0 -1 0 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 -3 0 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 0.498849525780 0.898778398114\n\n 7 8 1 5 \n 2103 2310 0132 2103\n 0 1 0 1 \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 1 -1 0 0 0 1 -1 0 3 0 -3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.498849525780 0.898778398114\n\n 3 9 6 1 \n 1302 2103 2103 0132\n 0 1 0 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 -4 0 4 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 0.472538184553 0.292431610861\n\n 2 10 11 6 \n 0132 1302 1023 3201\n 1 0 0 1 \n 0 0 0 0 0 0 1 -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 0 0 0 0 0 3 -3 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 0.555172388365 0.898046936236\n\n 11 7 2 2 \n 3201 2103 0132 3012\n 0 0 0 1 \n 0 0 0 0 0 0 0 0 -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 0 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.553773509824 0.807298273351\n\n 3 5 5 8 \n 0132 2031 0321 2031\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 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 0.527896755679 0.850589558066\n\n 4 4 8 9 \n 3201 0132 1023 2310\n 0 1 0 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 -1 -3 4 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 0.353281763230 0.792011980380\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_8'], 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0011_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : 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' : d['1'], 's_0_5' : negation(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_0110_9'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0110_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_1001_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_9']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_1001_5']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(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' : 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_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_5']})}"; 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);