// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL11n428\ndegenerate_solution 3.66386300\noriented_manifold\nCS_unknown\n\n3 0\n torus 0.000000000000 0.000000000000\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 2 2 2 0 \n 0 0 1 -1 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 1 1 -2 -1 0 1 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 0.000000002982 1.000000000056\n\n 0 3 6 5 \n 0132 2031 0132 0132\n 0 2 0 2 \n 0 0 0 0 0 0 0 0 -1 -11 0 12 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 1 12 0 -13 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000002334 0.000000005908\n\n 3 0 6 4 \n 2031 0132 1302 0321\n 2 2 0 2 \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 -1 1 0 -1 0 0 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 0.999999995302 0.999999995659\n\n 1 7 2 0 \n 1302 0132 1302 0132\n 2 2 0 0 \n 0 0 1 -1 0 0 0 0 0 -1 0 1 11 -11 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 1 -1 0 1 0 -1 -12 12 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000003574 0.000000008242\n\n 6 2 0 5 \n 2103 0321 0132 2103\n 2 2 0 2 \n 0 0 1 -1 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 2 -2 0 0 0 0 0 0 0 0 2 -1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000005809 1.000000000469\n\n 6 7 1 4 \n 1230 3201 0132 2103\n 0 2 2 0 \n 0 0 0 0 0 0 0 0 -1 0 0 1 0 12 -12 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 -2 0 0 2 0 -13 13 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n-44289348.649317547679 102128189.782560124993\n\n 2 5 4 1 \n 2031 3012 2103 0132\n 0 2 2 2 \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 0 0 0 -1 0 0 1 0 0 0 0 0 2 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000004989 0.999999994365\n\n 8 3 5 9 \n 0132 0132 2310 0132\n 2 0 0 0 \n 0 0 0 0 0 0 -12 12 0 11 0 -11 -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 13 -13 0 -12 0 12 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n-18080872.620625883341 106625799.510695040226\n\n 7 10 10 10 \n 0132 0132 0321 0213\n 1 0 0 0 \n 0 -11 -1 12 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 10 1 -11 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 0.000000001546 0.000000009116\n\n 10 9 7 9 \n 0321 0321 0132 0321\n 2 0 0 0 \n 0 0 0 0 1 0 -12 11 0 0 0 0 0 -11 11 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 13 -12 0 0 0 0 0 12 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000003084 -0.000000018703\n\n 9 8 8 8 \n 0321 0132 0321 0213\n 1 0 0 0 \n 0 11 1 -12 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 -10 -1 11 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 0.000000001546 0.000000009116\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' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_10'], 'c_1010_10' : d['c_1001_10'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(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_0011_4']), 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : d['c_1001_10'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : 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' : d['1'], 's_3_7' : negation(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' : 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' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_10'], '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_4']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_10']), '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);