// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_256\ngeometric_solution 13.53376086\noriented_manifold\nCS_known -0.0000000000000001\n\n1 0\n torus 0.000000000000 0.000000000000\n\n15\n 1 2 3 2 \n 0132 0132 0132 0213\n 0 0 0 0 \n 0 0 0 0 1 0 0 -1 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 9 0 0 -9 0 -1 0 1 -9 9 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.031169608986 1.352971808538\n\n 0 4 2 4 \n 0132 0132 0321 0213\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 -1 1 -9 0 9 0 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 0.437561404193 0.713577636171\n\n 5 0 1 0 \n 0132 0132 0321 0213\n 0 0 0 0 \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 1 -1 1 0 0 -1 0 -9 0 9 8 1 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.031169608986 1.352971808538\n\n 6 7 8 0 \n 0132 0132 0132 0132\n 0 0 0 0 \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 0 1 -8 0 8 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 0.634929328205 0.723482042350\n\n 5 1 9 1 \n 1023 0132 0132 0213\n 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 0 1 -1 -9 0 0 9 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 0.437561404193 0.713577636171\n\n 2 4 10 6 \n 0132 1023 0132 3012\n 0 0 0 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 9 -9 0 -1 0 0 1 -8 0 0 8 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.321025957746 0.710075465362\n\n 3 11 5 10 \n 0132 0132 1230 1230\n 0 0 0 0 \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 8 0 -8 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 0.624415932808 0.476498539990\n\n 9 3 8 11 \n 0132 0132 0321 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 0 0 0 0 0 0 0 0 8 0 -8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.300560620807 0.995144372496\n\n 10 12 7 3 \n 1230 0132 0321 0132\n 0 0 0 0 \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 8 -8 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 0.691141795509 0.199992055918\n\n 7 13 13 4 \n 0132 0132 0321 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 0 -1 0 0 0 0 -8 8 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.757399534322 0.575341267054\n\n 6 8 12 5 \n 3012 3012 1023 0132\n 0 0 0 0 \n 0 0 -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 0 -9 9 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 0.533018561393 1.980946722463\n\n 14 6 7 12 \n 0132 0132 0132 0213\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 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 0.783398409701 1.749554671715\n\n 13 8 10 11 \n 3120 0132 1023 0213\n 0 0 0 0 \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 0 0 0 -9 0 9 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 0.999815402234 1.019098416459\n\n 14 9 9 12 \n 3201 0132 0321 3120\n 0 0 0 0 \n 0 0 0 0 -1 0 0 1 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 -1 0 1 -9 0 0 9 0 0 0 0 8 -8 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.757399534322 0.575341267054\n\n 11 14 14 13 \n 0132 3201 2310 2310\n 0 0 0 0 \n 0 -1 1 0 0 0 1 -1 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 -8 8 0 0 0 8 -8 -1 -8 0 9 0 -8 8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.740260969115 0.430904293666\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_14']), 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_1001_13'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : negation(d['c_0011_12']), 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_0101_4'], 'c_1010_14' : d['c_0101_14'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : 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' : negation(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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0011_11']), 'c_1100_9' : d['c_1001_13'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : d['c_1001_13'], 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_1'], 'c_1100_14' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_1001_6']), 'c_1100_13' : negation(d['c_0011_12']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0101_0']), 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_13'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_13'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1001_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_1001_6'], '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : negation(d['c_0101_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_14'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_13' : negation(d['c_0101_14']), 'c_0110_12' : negation(d['c_0101_14']), 'c_0110_14' : d['c_0101_11'], 'c_1010_4' : d['c_1001_1'], 'c_0101_12' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_4']), '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_4'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_10']})}"; 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);