// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n2703\ngeometric_solution 8.08558661\noriented_manifold\nCS_known -0.0000000000000001\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n9\n 1 2 3 1 \n 0132 0132 0132 2103\n 1 0 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 0 1 -1 0 1 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 0.293066016125 1.332324687470\n\n 0 4 5 0 \n 0132 0132 0132 2103\n 1 0 1 1 \n 0 -1 1 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 -2 2 0 1 0 -1 0 1 0 0 -1 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.293066016125 1.332324687470\n\n 6 0 3 7 \n 0132 0132 0213 0132\n 1 1 1 1 \n 0 0 0 0 0 0 1 -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 1 0 -1 0 0 1 -1 0 -2 0 2 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.433465478372 0.410342407999\n\n 6 2 4 0 \n 2031 0213 3120 0132\n 1 0 1 1 \n 0 0 0 0 -2 0 1 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 0 0 3 0 -2 -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 0.532557401122 0.819438521646\n\n 6 1 3 8 \n 1023 0132 3120 0132\n 1 0 1 1 \n 0 1 0 -1 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 2 0 -2 -2 0 2 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 0.103286028964 0.500041692669\n\n 7 8 8 1 \n 3201 3120 2103 0132\n 1 0 1 1 \n 0 0 1 -1 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 0 2 -2 -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 1.310761422276 0.585677197949\n\n 2 4 3 7 \n 0132 1023 1302 2310\n 0 1 1 1 \n 0 -1 2 -1 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 2 -3 1 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 0.213303691399 1.750198237605\n\n 6 8 2 5 \n 3201 2310 0132 2310\n 1 1 0 1 \n 0 -1 0 1 -1 0 1 0 1 0 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 -2 1 1 -1 0 1 0 -1 0 0 1 0 2 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.674813155398 0.869832950976\n\n 5 5 4 7 \n 2103 3120 0132 3201\n 1 0 1 1 \n 0 0 1 -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 0 2 -2 0 0 0 0 -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 0.064316303652 0.949688956008\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_8'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_8']), 's_2_8' : negation(d['1']), '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' : negation(d['1']), 's_0_8' : 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_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_3']})}"; 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);