// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n495\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 1 2 3 4 \n 0132 0132 0132 0132\n 1 1 0 1 \n 0 0 0 0 0 0 0 0 2 -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 -1 0 1 0 -1 0 0 1 -8 8 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.500000000000 0.500000000000\n\n 0 3 5 4 \n 0132 1023 0132 2103\n 1 1 1 0 \n 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 1 0 -1 0 8 -9 0 1 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000000 1.000000000000\n\n 6 0 8 7 \n 0132 0132 0132 0132\n 1 1 1 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 -1 0 1 -1 0 0 1 8 -8 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.581706428681 0.452396594283\n\n 1 8 4 0 \n 1023 0132 0213 0132\n 1 1 1 0 \n 0 0 0 0 0 0 0 0 1 -1 0 0 -2 0 2 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 1 -1 9 -9 0 0 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000000000 1.000000000000\n\n 6 3 0 1 \n 3012 0213 0132 2103\n 1 1 1 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 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 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 0.500000000000 0.500000000000\n\n 6 8 9 1 \n 1023 1023 0132 0132\n 1 1 0 1 \n 0 -1 1 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 -8 8 0 0 0 -1 1 0 0 0 0 0 9 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.403346547516 0.535156087905\n\n 2 5 9 4 \n 0132 1023 1023 1230\n 1 1 0 1 \n 0 0 0 0 0 0 0 0 1 0 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 0 0 0 1 0 0 -1 0 0 0 0 -8 0 8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.101839048370 1.191670795605\n\n 10 8 2 9 \n 0132 0213 0132 1230\n 1 1 1 1 \n 0 0 0 0 -1 0 0 1 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 -1 1 -8 0 -1 9 0 8 0 -8 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.550919524185 0.595835397802\n\n 5 3 7 2 \n 1023 0132 0213 0132\n 1 1 0 1 \n 0 0 0 0 1 0 -1 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 0 0 0 8 0 -8 0 0 0 0 0 -9 9 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.928806309609 0.833073786806\n\n 7 10 6 5 \n 3012 1302 1023 0132\n 1 1 1 1 \n 0 1 0 -1 0 0 0 0 -1 0 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 8 0 -8 -1 0 0 1 -9 0 0 9 8 0 -8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.163412857361 0.904793188566\n\n 7 10 10 9 \n 0132 3201 2310 2031\n 1 1 1 1 \n 0 0 0 0 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 0 0 0 8 0 0 -8 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 0.694199761856 0.761354385046\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0011_9'], '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_9'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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' : 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' : negation(d['c_0110_4']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0101_5'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : 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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0011_4']})}"; 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);