// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n40322\ngeometric_solution 11.51710111\noriented_manifold\nCS_known -0.0000000000000002\n\n3 0\n torus 0.000000000000 0.000000000000\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 2 0 2 1 \n 0 1 0 -1 1 0 0 -1 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 -11 -1 12 0 0 1 -1 -12 11 0 1 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.669109703408 0.993534680306\n\n 0 5 7 6 \n 0132 0132 0132 0132\n 2 0 1 2 \n 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 -1 0 0 1 12 0 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.185044534749 0.822693511258\n\n 8 0 9 6 \n 0132 0132 0132 2031\n 2 2 1 2 \n 0 -1 1 0 0 0 0 0 0 1 0 -1 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 11 -11 0 0 0 0 0 0 1 0 -1 11 -11 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.387532372390 0.665147302363\n\n 8 5 9 0 \n 2031 1230 1302 0132\n 2 0 1 2 \n 0 0 0 0 1 0 -1 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 0 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 0.472252281601 0.976250551130\n\n 8 7 0 10 \n 3012 2103 0132 0132\n 2 0 2 2 \n 0 -1 1 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 12 -12 0 -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 0.679792880691 0.719744744172\n\n 11 1 3 10 \n 0132 0132 3012 3201\n 2 2 2 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 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 0.679792880691 0.719744744172\n\n 11 2 1 10 \n 3012 1302 0132 2103\n 2 0 2 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 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.174972516675 1.019348652045\n\n 9 4 10 1 \n 1302 2103 2103 0132\n 2 0 2 2 \n 0 0 0 0 1 0 0 -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 -1 1 0 0 0 0 0 0 -12 0 12 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.039815991055 1.454991387524\n\n 2 11 3 4 \n 0132 0132 1302 1230\n 0 2 2 1 \n 0 0 -1 1 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 -11 11 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.472252281601 0.976250551130\n\n 3 7 11 2 \n 2031 2031 3120 0132\n 2 2 2 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 0 -11 11 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 0.346049804860 1.122417736343\n\n 7 5 4 6 \n 2103 2310 0132 2103\n 2 0 2 2 \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 -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 0.583909414422 0.318333181178\n\n 5 8 9 6 \n 0132 0132 3120 1230\n 0 2 1 2 \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 -11 11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.669109703408 0.993534680306\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_9']), 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : negation(d['1']), 's_0_11' : negation(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_9']), 's_2_0' : 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' : negation(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' : 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' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0101_1'], '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0110_10'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], '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_0011_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_9'])})}"; 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);