// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n10318\ndegenerate_solution 3.66386249\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 3 \n 0132 0132 3201 0132\n 2 2 2 2 \n 0 -1 0 1 0 0 1 -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 2 0 -2 0 0 -3 3 0 0 0 0 -2 3 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.199999999548 0.399999999955\n\n 0 4 4 5 \n 0132 0132 0321 0132\n 0 2 2 2 \n 0 -8 7 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 15 -13 -2 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 1.000000003602 0.500000001086\n\n 0 0 3 4 \n 2310 0132 1302 3120\n 2 2 2 2 \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 -2 0 2 1 0 -1 0 3 -3 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.249999999757 0.250000000147\n\n 2 3 0 3 \n 2031 1302 0132 2031\n 2 2 2 2 \n 0 1 -1 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 -3 2 1 0 0 -3 3 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 0.999999999706 0.499999999514\n\n 2 1 1 6 \n 3120 0132 0321 0132\n 0 2 2 2 \n 0 8 -7 -1 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 -15 13 2 0 0 0 0 0 0 0 0 -2 2 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.999999998442 0.499999999004\n\n 6 7 1 8 \n 0321 0132 0132 0132\n 0 2 1 2 \n 0 1 -1 0 0 0 0 0 1 8 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 -2 2 0 0 0 0 0 -2 -17 0 19 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000004 0.000000003102\n\n 5 8 4 7 \n 0321 0132 0132 0132\n 0 2 1 2 \n 0 0 1 -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 0 -2 2 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 -0.000000000004 0.000000003102\n\n 8 5 6 8 \n 0213 0132 0132 0213\n 0 2 2 1 \n 0 -1 1 0 0 0 0 0 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 2 -2 0 0 0 0 0 0 0 0 0 -17 17 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.499999999621 -0.000000012504\n\n 7 6 5 7 \n 0213 0132 0132 0213\n 0 2 2 1 \n 0 0 0 0 0 0 0 0 0 0 0 0 -8 -1 9 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 17 2 -19 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.500000000379 0.000000012504\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' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_1001_8' : d['c_1001_7'], 's_2_8' : 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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : 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_1100_8' : d['c_1001_4'], 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : d['c_1001_7'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_3'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0110_7']), '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_0']), 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_5'])})}"; 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);