// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n61485\ndegenerate_solution 0.00000084\noriented_manifold\nCS_unknown\n\n4 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n10\n 1 1 2 1 \n 0132 1302 0132 3012\n 2 2 2 3 \n 0 -3 -1 4 3 0 -3 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 2 1 -3 -2 0 2 0 0 0 0 0 -2 0 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000000586 0.000000008568\n\n 0 3 0 0 \n 0132 0132 1230 2031\n 2 2 3 2 \n 0 0 0 0 -3 0 0 3 -1 1 0 0 0 4 -4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 2 0 0 -2 2 -2 0 0 0 -3 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n-7947235.070862716064 116163320.162642940879\n\n 3 3 4 0 \n 0132 1230 0132 0132\n 2 2 3 2 \n 0 -1 0 1 0 0 -3 3 -2 1 0 1 -4 1 3 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 2 -2 3 -1 0 -2 3 -1 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n298578.757786289440 122991959.911136925220\n\n 2 1 2 5 \n 0132 0132 3012 0132\n 2 2 2 3 \n 0 0 -1 1 0 0 1 -1 4 -4 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 0 1 -1 0 0 -1 1 -3 3 0 0 -3 2 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.999999999980 0.000000008131\n\n 6 6 6 2 \n 0132 1302 3012 0132\n 2 2 2 0 \n 0 0 0 0 0 0 -3 3 0 3 0 -3 -2 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 2 -2 0 -2 0 2 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000020 0.000000008131\n\n 6 7 3 8 \n 2103 0132 0132 0132\n 2 2 2 2 \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 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 -0.000000000024 0.000000006618\n\n 4 4 5 4 \n 0132 1230 2103 2031\n 2 2 0 2 \n 0 3 0 -3 0 0 0 0 2 -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 0 2 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 0.999999999980 0.000000008131\n\n 7 5 9 7 \n 3120 0132 0132 3120\n 2 2 2 2 \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 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-6801193.649436491542 -32963831.317377939820\n\n 9 9 5 9 \n 2031 0132 0132 1230\n 2 2 1 2 \n 0 0 0 0 -1 0 1 0 4 -1 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 0 0 0 1 0 -1 0 -5 1 0 4 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n556250.384608982713 151109913.872995257378\n\n 8 8 8 7 \n 3012 0132 1302 0132\n 2 2 2 1 \n 0 0 1 -1 0 0 0 0 0 0 0 0 3 1 -4 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 -4 -1 5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000024 0.000000006618\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_5'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_7'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : 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_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0101_7']), 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_7'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : negation(d['c_0011_8']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_4'], '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_8']), 'c_0101_8' : negation(d['c_0101_7']), 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0110_7'], '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(), 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);