// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n28586\ngeometric_solution 11.19272594\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 1 2 3 \n 0132 1230 0132 0132\n 1 1 0 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 -1 0 1 0 0 0 0 0 -1 0 1 0 10 -10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.179331723518 0.949985975066\n\n 0 4 0 5 \n 0132 0132 3012 0132\n 1 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 10 -10 0 0 0 1 -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 0.808126097271 1.016426502779\n\n 6 2 2 0 \n 0132 1230 3012 0132\n 1 1 1 1 \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 0 0 0 0 0 0 0 0 -10 0 0 10 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.281159649230 0.891178063088\n\n 4 4 0 6 \n 0132 1302 0132 3201\n 1 1 1 0 \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 -1 1 0 0 0 0 0 0 0 0 -3 4 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.834625204856 0.932809213911\n\n 3 1 7 3 \n 0132 0132 0132 2031\n 1 1 0 1 \n 0 1 -1 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 0 -10 10 0 0 0 0 0 3 1 0 -4 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.184265336059 1.039362758577\n\n 8 9 1 6 \n 0132 0132 0132 2103\n 1 1 1 1 \n 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 -1 0 1 0 10 0 0 -10 9 -9 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.648347290502 0.945682703086\n\n 2 3 7 5 \n 0132 2310 0321 2103\n 1 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 -10 10 0 0 0 0 0 0 0 0 10 -1 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.661140688896 0.399302401644\n\n 8 10 6 4 \n 3201 0132 0321 0132\n 1 1 1 1 \n 0 0 -1 1 1 0 -1 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 10 -10 -9 0 9 0 0 0 0 0 10 -10 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.250699191705 1.299655112386\n\n 5 9 11 7 \n 0132 3201 0132 2310\n 1 1 1 1 \n 0 0 0 0 0 0 -1 1 1 0 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 0 0 0 1 0 9 -10 -9 0 0 9 -10 10 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.095076699657 1.265570680134\n\n 10 5 8 10 \n 3201 0132 2310 0132\n 1 1 1 1 \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 0 0 0 10 0 -10 0 0 9 0 -9 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.426569761441 1.079152868713\n\n 11 7 9 9 \n 2310 0132 0132 2310\n 1 1 1 1 \n 0 0 0 0 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 0 0 0 0 0 0 0 0 10 0 -10 -9 0 9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.072205696156 0.505214001108\n\n 11 11 10 8 \n 1302 2031 3201 0132\n 1 1 1 1 \n 0 1 -1 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 0 -9 9 0 9 0 0 -9 9 -9 0 0 9 -9 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.030776687066 1.166038148340\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' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_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' : 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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_1001_6']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_0101_4']), 's_3_1' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : 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' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], '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' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})}"; 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);