// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_400\ngeometric_solution 13.58036646\noriented_manifold\nCS_known 0.0000000000000005\n\n1 0\n torus 0.000000000000 0.000000000000\n\n15\n 1 2 3 4 \n 0132 0132 0132 0132\n 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 -1 0 1 -1 0 1 0 0 0 0 0 9 0 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.480205546484 0.550608822536\n\n 0 5 7 6 \n 0132 0132 0132 0132\n 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 0 0 0 0 1 0 0 -1 -9 0 0 9 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.287658401839 1.450601869925\n\n 8 0 10 9 \n 0132 0132 0132 0132\n 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 0 1 0 -1 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 1.009312191300 1.281680555746\n\n 11 9 12 0 \n 0132 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 -9 0 0 9 10 0 -10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.150355396043 1.162966108264\n\n 9 6 0 11 \n 0132 3120 0132 0132\n 0 0 0 0 \n 0 1 0 -1 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 -9 -1 10 0 0 0 0 -10 10 0 0 9 -9 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.989409578903 0.928118269644\n\n 11 1 10 12 \n 3120 0132 2310 3120\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 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 0.445580004750 0.534475417456\n\n 8 4 1 13 \n 2103 3120 0132 0132\n 0 0 0 0 \n 0 -1 0 1 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 9 0 -9 -1 0 1 0 0 -10 0 10 0 9 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.137531431545 0.772344034864\n\n 9 14 13 1 \n 3120 0132 0132 0132\n 0 0 0 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 -1 0 0 0 0 0 -9 9 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.257323864330 1.024675756432\n\n 2 11 6 14 \n 0132 3120 2103 3012\n 0 0 0 0 \n 0 -1 0 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 9 0 -9 0 0 1 -1 0 -10 0 10 10 -10 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.353597695923 0.471948030286\n\n 4 3 2 7 \n 0132 0132 0132 3120\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 -9 0 0 9 10 0 -10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.315568494208 0.484591174665\n\n 14 5 12 2 \n 3012 3201 0321 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 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 0.525552360090 0.528088324196\n\n 3 8 4 5 \n 0132 3120 0132 3120\n 0 0 0 0 \n 0 -1 1 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 10 -10 0 0 0 0 0 -10 10 0 0 9 -9 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.582610337564 0.590711253481\n\n 5 13 10 3 \n 3120 2031 0321 0132\n 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 0 0 0 0 0 1 -1 0 -10 0 10 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.413846660281 0.435579530341\n\n 12 14 6 7 \n 1302 1023 0132 0132\n 0 0 0 0 \n 0 1 -1 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 -10 9 1 0 0 0 0 0 0 0 0 10 0 -10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.102484789728 0.809406855808\n\n 13 7 8 10 \n 1023 0132 1230 1230\n 0 0 0 0 \n 0 0 0 0 -1 0 1 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 1 0 10 0 -10 0 0 1 0 -1 0 -9 9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.035910140089 0.990465184122\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : negation(d['1']), 'c_1001_14' : negation(d['c_0011_12']), 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_13' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_13'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_13' : d['c_0011_10'], 'c_1010_12' : d['c_0011_13'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_1001_2'], 'c_1010_14' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : negation(d['c_0011_12']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0011_10'], 'c_0101_14' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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_2_14' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_13'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_12'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_7']), 'c_1100_14' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1100_13' : d['c_1100_1'], 's_0_11' : negation(d['1']), 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_13'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_2_8' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['c_0101_5']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], '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' : negation(d['c_0011_13']), '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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_3'], 'c_0110_14' : d['c_0011_10'], 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 's_0_8' : negation(d['1']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_12'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 16); 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);