// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n58672\ngeometric_solution 8.41654785\noriented_manifold\nCS_known -0.0000000000000002\n\n3 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n10\n 1 2 2 1 \n 0132 0132 3201 3201\n 1 0 1 0 \n 0 0 0 0 1 0 0 -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 0 1 0 -1 2 0 0 -2 3 0 0 -3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.550099627306 0.572346254287\n\n 0 0 4 3 \n 0132 2310 0132 0132\n 1 0 0 1 \n 0 -1 1 0 -1 0 0 1 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 3 -3 0 -2 0 -1 3 0 2 0 -2 -3 1 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.305189834049 0.698591684093\n\n 0 0 5 5 \n 2310 0132 2310 0132\n 1 0 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 -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 1.872910981683 0.908212450787\n\n 6 7 1 7 \n 0132 0132 0132 1230\n 1 0 2 0 \n 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 -3 3 1 1 0 -2 1 -3 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.017621520329 0.781967020981\n\n 8 8 9 1 \n 0132 3120 0132 0132\n 1 0 1 1 \n 0 1 0 -1 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 -3 0 3 0 0 -1 1 2 0 0 -2 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.623123131965 0.496002049404\n\n 6 2 2 8 \n 3201 3201 0132 2103\n 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 0 0 0 0 0 0 0 0\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 0.715715125620 0.719610419421\n\n 3 9 9 5 \n 0132 0213 2103 2310\n 1 0 0 2 \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 1 0 -1 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 0.382146042410 0.474775158510\n\n 3 3 9 8 \n 3012 0132 0213 3012\n 1 1 0 2 \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 0 -1 1 0 0 0 0 -3 3 0 0 2 -1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.028803549724 1.278177225951\n\n 4 4 7 5 \n 0132 3120 1230 2103\n 1 0 1 1 \n 0 0 0 0 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 0 0 0 0 0 0 0 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 0.623123131965 0.496002049404\n\n 6 7 6 4 \n 2103 0213 0213 0132\n 1 0 1 2 \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 1 -1 0 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 1.017621520329 0.781967020981\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_2']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_1001_4']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_1001_4'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_4']), '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : 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' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0110_5']), 'c_0110_6' : d['c_0101_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);