// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL11n49\ngeometric_solution 10.21560566\noriented_manifold\nCS_known -0.0000000000000001\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n11\n 0 0 1 2 \n 1302 2031 0132 0132\n 1 1 1 1 \n 0 1 0 -1 -1 0 0 1 -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 -10 -1 11 10 0 0 -10 10 -10 0 0 10 -10 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.545733928299 1.130991485707\n\n 3 4 5 0 \n 0132 0132 0132 0132\n 1 1 1 1 \n 0 0 0 0 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 -1 0 1 0 0 0 0 -11 11 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.327721856020 1.800689444464\n\n 6 3 0 7 \n 0132 3201 0132 0132\n 1 1 1 1 \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 11 -11 0 0 0 10 -10 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 0.449080475815 0.595835397802\n\n 1 8 2 8 \n 0132 0132 2310 0213\n 1 1 1 1 \n 0 0 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 11 0 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.366213381435 0.728435949186\n\n 9 1 6 10 \n 0132 0132 2031 0132\n 1 0 1 1 \n 0 0 0 0 0 0 0 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 0 -1 1 0 -1 0 0 -1 0 1 0 -11 11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.030748682289 0.565904770194\n\n 9 10 7 1 \n 3201 0321 0132 0132\n 1 1 1 0 \n 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 -11 10 0 1 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.181111283876 0.452675334690\n\n 2 7 9 4 \n 0132 2103 1023 1302\n 0 1 1 1 \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 -1 0 1 0 0 11 -11 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 0.596653452484 0.535156087905\n\n 10 6 2 5 \n 0213 2103 0132 0132\n 1 1 0 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 -10 0 10 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 -0.101839048370 1.191670795605\n\n 9 3 10 3 \n 1023 0132 0213 0213\n 1 1 1 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 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 0.366213381435 0.728435949186\n\n 4 8 6 5 \n 0132 1023 1023 2310\n 1 0 1 1 \n 0 0 1 -1 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 0 -11 11 -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 0.571193690391 1.333073786806\n\n 7 8 4 5 \n 0213 0213 0132 0321\n 1 0 1 1 \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 -1 1 0 0 0 0 0 10 0 0 -10 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000000 1.000000000000\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_1'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_7'], '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_2_10' : 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_0011_5'], 'c_1100_8' : d['c_1001_1'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_1001_5'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : negation(d['c_1001_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_0011_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_1'], 'c_0011_8' : d['c_0011_1'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 12); 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);