// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL11a202\ngeometric_solution 8.22520843\noriented_manifold\nCS_known -0.0000000000000004\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n10\n 1 2 3 4 \n 0132 0132 0132 0132\n 1 1 0 1 \n 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -1 3 0 -2 -1 -12 13 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.762785068203 1.573164716223\n\n 0 5 6 5 \n 0132 0132 0132 1302\n 1 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 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.474175013174 0.154601470887\n\n 4 0 3 7 \n 0213 0132 0213 0132\n 1 1 1 0 \n 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -13 13 0 12 0 -12 3 -3 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.811250343826 0.500932786503\n\n 5 2 6 0 \n 3012 0213 3012 0132\n 1 1 1 0 \n 0 0 0 0 0 0 0 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 0 0 0 0 0 13 0 -13 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.155826817210 1.136192662733\n\n 2 8 0 9 \n 0213 0132 0132 0132\n 1 1 1 0 \n 0 -1 0 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 0 12 1 -13 0 0 0 0 0 0 0 0 -3 1 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.019509520093 1.157401680146\n\n 8 1 1 3 \n 0321 0132 2031 1230\n 1 1 0 1 \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 0 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.107595042713 0.551044329712\n\n 8 3 7 1 \n 3120 1230 2031 0132\n 1 1 0 1 \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 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 0.564954493188 1.126560313355\n\n 9 8 2 6 \n 3012 1230 0132 1302\n 1 1 1 1 \n 0 0 0 0 -1 0 1 0 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 1 -1 0 13 0 -13 0 0 0 0 0 0 -12 12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.683432875917 1.174874587117\n\n 5 4 7 6 \n 0321 0132 3012 3120\n 1 1 0 1 \n 0 1 -1 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 -12 12 0 1 0 -1 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 0.555503240509 0.693431190859\n\n 9 9 4 7 \n 1302 2031 0132 1230\n 1 1 1 1 \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 13 -13 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 0.546794014132 0.402746051264\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_0101_0']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0110_7']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_7'], 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0110_7'], 'c_1100_3' : d['c_0110_7'], 'c_1100_2' : d['c_0101_6'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : negation(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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : negation(d['c_0101_5']), 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 11); 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);