// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL10n104\ndegenerate_solution 0.00000041\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\n9\n 1 1 1 2 \n 0132 0132 0321 0132\n 0 2 2 2 \n 0 9 -5 -4 -4 0 5 -1 0 -5 0 5 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 -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 -0.999999999991 0.000000000333\n\n 0 0 0 3 \n 0132 0132 0321 0132\n 0 2 2 2 \n 0 -9 5 4 4 0 0 -4 0 0 0 0 0 5 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 2 -1 -1 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 -1.000000000009 -0.000000000320\n\n 4 3 0 3 \n 0132 0321 0132 0321\n 0 2 1 2 \n 0 0 4 -4 -1 0 1 0 -1 1 0 0 0 5 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 -1 1 0 0 0 0 -1 1 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.999999999991 -0.000000003379\n\n 4 2 1 2 \n 3201 0321 0132 0321\n 0 2 1 2 \n 0 4 -4 0 1 0 4 -5 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 0 0 1 -1 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 2.000000000005 0.000000003228\n\n 2 5 5 3 \n 0132 0132 1302 2310\n 1 2 2 1 \n 0 14 -13 -1 1 0 -1 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 15 -14 -1 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-15631913.192926133052 247171066.510182648897\n\n 4 4 7 6 \n 2031 0132 0132 0132\n 1 1 1 2 \n 0 -14 14 0 13 0 -13 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 -15 15 0 14 0 -14 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 1.000000000030 0.000000010018\n\n 8 8 5 8 \n 0132 1230 0132 2031\n 1 1 3 1 \n 0 0 0 0 0 0 0 0 -14 15 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 0 0 0 0 0 0 0 -13 14 0 -1 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000000030 0.000000010018\n\n 7 7 8 5 \n 1023 1023 2031 0132\n 1 1 2 1 \n 0 14 0 -14 -14 0 1 13 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 15 0 -15 -15 0 1 14 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 1.000000001353 -0.000000013482\n\n 6 6 6 7 \n 0132 1302 3012 1302\n 1 1 1 3 \n 0 0 1 -1 0 0 0 0 0 0 0 0 14 1 -15 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 1 -1 0 0 0 0 0 0 0 0 13 1 -14 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000030 0.000000010018\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_0011_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : negation(d['1']), '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_0_8' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_1010_8']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_1010_8']), 'c_1100_6' : negation(d['c_1010_8']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_0'], 'c_1010_7' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_1010_2'], 'c_1010_2' : d['c_1010_2'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_0'], 'c_1010_8' : d['c_1010_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_7'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : negation(d['c_0011_2']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_2'], 'c_0110_6' : negation(d['c_0011_6'])})}"; 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);