// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n62144\ndegenerate_solution 0.00000031\noriented_manifold\nCS_unknown\n\n4 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n8\n 1 2 2 2 \n 0132 0132 0321 0213\n 2 3 3 3 \n 0 4 -1 -3 -1 0 0 1 0 0 0 0 -3 3 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 0 3 0 0 0 0 -10 10 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000282 0.000000006148\n\n 0 3 5 4 \n 0132 0132 0132 0132\n 3 3 3 3 \n 0 4 -4 0 1 0 0 -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 13 -13 0 3 0 0 -3 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 -0.000000000248 0.000000004384\n\n 6 0 0 0 \n 0132 0132 0321 0213\n 2 3 3 3 \n 0 -4 1 3 0 0 0 0 4 -3 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 13 -10 0 -3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000282 0.000000006148\n\n 3 1 7 3 \n 3120 0132 0132 3120\n 3 3 3 3 \n 0 -4 4 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 -13 13 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-9534020.862876467407 -43015679.063301704824\n\n 7 7 1 7 \n 2031 0132 0132 1230\n 3 3 1 3 \n 0 0 0 0 -4 0 1 3 4 -1 0 -3 0 -3 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 -13 0 3 10 11 -3 0 -8 0 -10 10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n12877964.485403627157 227365187.376758486032\n\n 6 6 6 1 \n 2310 3120 1230 0132\n 3 3 3 0 \n 0 -4 0 4 0 0 0 0 0 0 0 0 6 -7 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -13 0 13 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 0.999999999718 0.000000006148\n\n 2 5 5 5 \n 0132 3120 3201 3012\n 0 3 3 3 \n 0 7 -6 -1 0 0 0 0 0 0 0 0 -4 4 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 -13 13 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7456943.562781949528 162309349.737647473812\n\n 4 4 4 3 \n 3012 0132 1302 0132\n 3 3 3 1 \n 0 0 4 -4 0 0 0 0 -3 3 0 0 3 1 -4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 13 -13 0 0 0 0 -10 10 0 0 8 3 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000248 0.000000004384\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_1001_0'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], '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_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_0']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 9); 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);