// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_503\ngeometric_solution 13.05000993\noriented_manifold\nCS_known 0.0000000000000001\n\n1 0\n torus 0.000000000000 0.000000000000\n\n14\n 1 1 2 3 \n 0132 1230 0132 0132\n 0 0 0 0 \n 0 0 0 0 1 0 -1 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 0 -1 14 0 -14 0 -1 0 0 1 -15 0 15 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.321647299814 0.940561409700\n\n 0 4 0 4 \n 0132 0132 3012 1302\n 0 0 0 0 \n 0 1 0 -1 -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 14 0 -14 -14 0 -1 15 15 -15 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.674483200907 0.951876604009\n\n 4 5 6 0 \n 3012 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 -1 0 0 1 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 0 0 0 -14 0 0 14 0 15 0 -15 -14 14 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.058250538876 0.767562685046\n\n 5 7 0 6 \n 2031 0132 0132 0132\n 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 0 0 0 0\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 -0.299332863061 0.780126982617\n\n 6 1 1 2 \n 0321 0132 2031 1230\n 0 0 0 0 \n 0 -1 0 1 -1 0 1 0 -1 0 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 -14 0 14 -14 0 14 0 -15 1 0 14 0 15 -15 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.504419649264 0.699396724244\n\n 8 2 3 7 \n 0132 0132 1302 0213\n 0 0 0 0 \n 0 0 0 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 0 0 0 1 0 -1 0 0 -14 0 14 15 -15 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.700667136939 0.780126982617\n\n 4 9 3 2 \n 0321 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 15 -15 0 0 14 -14 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.060790684551 1.562853176496\n\n 8 3 10 5 \n 3012 0132 0132 0213\n 0 0 0 0 \n 0 0 0 0 1 0 0 -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 14 0 0 -14 0 0 0 0 -15 0 15 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.428721861828 1.117343044229\n\n 5 9 11 7 \n 0132 1023 0132 1230\n 0 0 0 0 \n 0 0 1 -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 0 14 -14 -1 0 1 0 -15 0 0 15 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.565698650060 0.339648748591\n\n 8 6 10 12 \n 1023 0132 0321 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 14 0 -14 0 15 -15 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.024851012351 0.638888735656\n\n 11 12 9 7 \n 1230 0132 0321 0132\n 0 0 0 0 \n 0 0 0 0 -1 0 1 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 -15 0 15 0 15 0 0 -15 -14 14 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.901694420139 1.295364751791\n\n 13 10 13 8 \n 0132 3012 3120 0132\n 0 0 0 0 \n 0 1 0 -1 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 14 0 -14 0 0 1 -1 -15 15 0 0 0 -15 15 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.674483200907 0.951876604009\n\n 13 10 9 13 \n 1302 0132 0132 1023\n 0 0 0 0 \n 0 0 0 0 1 0 0 -1 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 1 -1 15 0 0 -15 0 -14 0 14 -14 0 14 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.504419649264 0.699396724244\n\n 11 12 11 12 \n 0132 2031 3120 1023\n 0 0 0 0 \n 0 0 -1 1 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 0 -15 15 0 0 -1 1 0 14 0 -14 15 -15 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.674483200907 0.951876604009\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_0011_10']), 'c_1001_10' : d['c_0101_11'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_12'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_13' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_13']), 'c_1100_10' : d['c_1001_2'], 'c_1100_13' : negation(d['c_0101_11']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_12'], 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_13']), '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'], 'c_1100_12' : d['c_0101_11'], '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_2'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_13'], 'c_0110_10' : d['c_0011_11'], 'c_0110_13' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_0']), 'c_0101_12' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_13'], 's_1_13' : d['1'], '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_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_13'], 'c_0110_4' : d['c_0011_2'], 'c_0110_7' : negation(d['c_0101_13']), 'c_0110_6' : negation(d['c_0011_0'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 15); 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);