// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n58515\ndegenerate_solution 0.00000014\noriented_manifold\nCS_unknown\n\n3 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n9\n 1 2 2 2 \n 0132 0132 0132 3120\n 1 0 1 1 \n 0 0 0 0 6 0 -13 7 1 6 0 -7 -7 7 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 11 -6 -1 -7 0 8 8 -8 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.499999999955 -0.000000000495\n\n 0 3 4 4 \n 0132 0132 0132 0132\n 1 0 1 1 \n 0 0 0 0 -6 0 0 6 7 0 0 -7 -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 5 0 0 -5 -8 0 0 8 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -2.000000002672 -0.000000029595\n\n 0 0 4 0 \n 3120 0132 2103 0132\n 1 0 1 1 \n 0 0 0 0 -7 0 -6 13 7 -7 0 0 0 -6 6 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 5 -11 -8 8 0 0 0 7 -7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.999999999823 -0.000000001959\n\n 5 1 6 5 \n 0132 0132 0132 2103\n 1 2 1 1 \n 0 0 0 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 0 0 0 3 0 -3 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 0.500000000044 0.000000000495\n\n 2 5 1 1 \n 2103 3120 0132 0132\n 1 0 1 1 \n 0 0 0 0 6 0 -6 0 0 0 0 0 -6 -1 7 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 5 0 0 0 0 0 7 1 -8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.499999999332 0.000000007403\n\n 3 4 6 3 \n 0132 3120 2310 2103\n 1 2 1 1 \n 0 1 0 -1 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 -3 0 3 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 0.500000000044 0.000000000495\n\n 7 5 8 3 \n 0132 3201 0132 0132\n 1 2 1 2 \n 0 0 0 0 1 0 0 -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 0 0 0 -4 0 1 3 0 0 0 0 0 -3 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000899 0.000000007203\n\n 6 8 8 8 \n 0132 3120 3120 1230\n 2 2 2 1 \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 4 0 -1 -3 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 0.500000000000 0.000000000001\n\n 7 7 7 6 \n 3012 3120 3120 0132\n 1 2 2 2 \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 3 0 0 -3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.500000000000 0.000000000001\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_1001_8' : negation(d['c_1001_7']), 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_0_8' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_0']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_0'], 'c_1010_8' : d['c_0011_6'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], '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_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_6']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : negation(d['c_0011_6']), '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_0011_8'], 'c_0110_6' : d['c_0101_3']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 10); 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);