// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_194\ngeometric_solution 13.59312040\noriented_manifold\nCS_known 0.0000000000000001\n\n1 0\n torus 0.000000000000 0.000000000000\n\n15\n 1 1 2 3 \n 0132 1302 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 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.623792290062 0.854092161688\n\n 0 4 5 0 \n 0132 0132 0132 2031\n 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 0 0 0 0 0 0 0 0 -1 0 1 0 5 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.431923380630 0.980581641740\n\n 6 6 7 0 \n 0132 1230 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 1 0 -1 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 0.351779234254 0.783176117038\n\n 8 9 0 7 \n 0132 0132 0132 3012\n 0 0 0 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 6 -6 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.795423840305 0.780518524213\n\n 10 1 10 9 \n 0132 0132 3012 3120\n 0 0 0 0 \n 0 0 0 0 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 0 0 0 5 0 0 -5 5 -5 0 0 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.005224946660 0.903474905175\n\n 8 11 9 1 \n 3120 0132 2031 0132\n 0 0 0 0 \n 0 -1 1 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 -6 6 0 0 0 0 0 0 -5 0 5 0 -6 6 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.225089883766 0.559118094125\n\n 2 12 2 13 \n 0132 0132 3012 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 -1 1 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 0.522761076324 1.062490592818\n\n 12 8 3 2 \n 0132 3201 1230 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 1.157778156029 0.737685681756\n\n 3 13 7 5 \n 0132 0321 2310 3120\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 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.704793447802 0.467270909033\n\n 4 3 12 5 \n 3120 0132 2031 1302\n 0 0 0 0 \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 0 0 0 5 0 1 -6 0 6 0 -6 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.080490297253 0.494523630414\n\n 4 4 14 11 \n 0132 1230 0132 2310\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 -5 0 0 5 1 0 0 -1 -5 0 5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.550282301688 0.494582085322\n\n 10 5 13 14 \n 3201 0132 1302 2310\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 6 -1 -5 1 0 -1 0 0 6 0 -6 -5 5 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.006400813129 1.106800587781\n\n 7 6 14 9 \n 0132 0132 0213 1302\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 1 0 -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 0.387069286877 0.241940452863\n\n 11 14 6 8 \n 2031 0213 0132 0321\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 1 0 -1 0 0 6 0 -6 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.615683691916 0.546315870157\n\n 11 12 13 10 \n 3201 0213 0213 0132\n 0 0 0 0 \n 0 0 0 0 1 0 -1 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 6 0 -6 0 5 0 0 -5 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.503200406564 0.553400293891\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' : d['c_0011_14'], 'c_1001_14' : d['c_1001_12'], 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0101_9'], 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_1001_2']), 'c_1010_13' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_13'], 'c_1010_14' : d['c_0101_9'], 's_3_11' : 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'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_13']), 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0011_13'], 's_2_0' : 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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : d['c_0011_12'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : d['c_0101_8'], 'c_1100_14' : d['c_0011_11'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_0011_14'], 'c_1100_10' : d['c_0011_11'], 'c_1100_13' : negation(d['c_1001_2']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_11'], '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_9'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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_12'], 'c_0110_11' : negation(d['c_0011_13']), 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : d['c_0011_3'], 'c_0110_12' : d['c_0101_7'], 'c_0110_14' : d['c_0101_10'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_14'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0011_13'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_14'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_14'], 'c_1100_8' : negation(d['c_0011_12']), 'c_0101_13' : d['c_0011_14']})}"; 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);