// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10^2_52\ngeometric_solution 13.96062194\noriented_manifold\nCS_known 0.0000000000000004\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n15\n 1 2 2 3 \n 0132 0132 1302 0132\n 1 1 1 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 1 0 -1 0 0 0 0 0 -2 0 2 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.291259358881 1.167773946973\n\n 0 4 5 4 \n 0132 0132 0132 1230\n 0 1 0 1 \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 0 0 0 0 0 1 -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 0.403570308125 0.736598150414\n\n 0 0 7 6 \n 2031 0132 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 1 0 0 -1 0 2 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.798927353974 0.806179751201\n\n 8 9 0 7 \n 0132 0132 0132 1230\n 1 1 0 1 \n 0 -1 0 1 1 0 0 -1 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 1 1 -2 -2 0 0 2 -1 -1 0 2 2 0 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.230489203827 0.714971417231\n\n 1 1 10 11 \n 3012 0132 0132 0132\n 0 0 1 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 0 0 -1 1 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 0.663949939895 0.819986503616\n\n 12 10 13 1 \n 0132 1230 0132 0132\n 0 1 1 0 \n 0 0 0 0 -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 0 0 0 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 -0.065510980223 1.072633906555\n\n 14 12 2 8 \n 0132 1230 0132 1023\n 1 1 1 0 \n 0 1 0 -1 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 2 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 -0.366216649208 0.881330284812\n\n 3 13 8 2 \n 3012 3012 0213 0132\n 1 1 1 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 2 0 -2 0 -2 0 0 2 -2 2 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.524564610911 0.202215730529\n\n 3 7 14 6 \n 0132 0213 3120 1023\n 1 1 1 0 \n 0 0 0 0 -1 0 0 1 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 0 0 0 2 0 0 -2 -2 2 0 0 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.537450558616 0.482747618124\n\n 10 3 10 11 \n 0132 0132 3012 2031\n 1 0 1 0 \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 -1 1 0 1 0 0 -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 0.301371551511 0.882193090902\n\n 9 9 5 4 \n 0132 1230 3012 0132\n 0 0 0 1 \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 0 0 -1 0 0 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 0.551688283149 0.696644393424\n\n 13 9 4 12 \n 2031 1302 0132 2031\n 0 0 1 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 -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 0.672715476248 0.758583891673\n\n 5 11 6 14 \n 0132 1302 3012 2103\n 0 1 0 1 \n 0 0 0 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 -1 1 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 0.474457075480 0.746598543037\n\n 7 14 11 5 \n 1230 2103 1302 0132\n 0 1 0 1 \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 -2 2 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.240004187368 1.063047432265\n\n 6 13 8 12 \n 0132 2103 3120 2103\n 0 1 0 1 \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 -2 1 1 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 0.411476432568 0.954041331308\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_0101_14'], 'c_1001_14' : d['c_0011_13'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : d['c_0011_14'], 'c_1001_12' : d['c_0011_14'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0011_13']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_13']), 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_4'], 'c_1010_14' : negation(d['c_1001_5']), 's_3_11' : d['1'], 's_0_11' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], '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_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' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_14'], 'c_1100_6' : d['c_0101_14'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_14'], 'c_1100_14' : negation(d['c_0011_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_1001_5']), 'c_1100_13' : d['c_0101_11'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_14'], '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'], 'c_1100_12' : negation(d['c_0101_6']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_14']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_14'], 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0011_7'], 'c_0110_12' : d['c_0011_7'], 'c_0110_14' : d['c_0101_6'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0011_7' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], '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_0011_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0011_7'], 's_1_14' : d['1'], '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_0101_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_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);