// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL12n1809\ndegenerate_solution 3.66386248\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\n10\n 1 2 3 4 \n 0132 0132 0132 0132\n 1 1 1 0 \n 0 0 0 0 0 0 0 0 1 0 0 -1 1 10 -11 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 -2 0 0 2 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.500000000000 0.499999998962\n\n 0 5 7 6 \n 0132 0132 0132 0132\n 2 1 0 1 \n 0 12 0 -12 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 -1 0 1 1 0 -1 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 -0.000000000000 0.000000001895\n\n 4 0 3 7 \n 1023 0132 0321 1230\n 1 1 0 1 \n 0 0 0 0 1 0 0 -1 0 -10 0 10 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 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 0.000000002076 1.000000000000\n\n 4 8 2 0 \n 3120 0132 0321 0132\n 1 1 0 1 \n 0 0 0 0 0 0 0 0 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 1 -1 0 -1 0 1 3 -3 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.500000000000 0.500000001038\n\n 6 2 0 3 \n 0132 1023 0132 3120\n 1 1 0 1 \n 0 -1 0 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 2 1 -3 0 0 0 0 0 0 0 0 3 -1 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000002075 1.000000000000\n\n 9 1 8 9 \n 0132 0132 1023 0132\n 2 1 1 0 \n 0 -12 1 11 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 1 0 -1 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 0.500000000257 -0.000000033975\n\n 4 9 1 8 \n 0132 0132 0132 1023\n 2 1 1 0 \n 0 -11 12 -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 1 -1 0 0 0 0 0 -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\n64670.033361433816 527673864.466408669949\n\n 2 8 9 1 \n 3012 1023 0132 0132\n 2 1 1 0 \n 0 0 0 0 0 0 0 0 1 0 0 -1 -10 10 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 0 1 -2 0 0 2 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n64608.207461626422 527673865.028994381428\n\n 7 3 5 6 \n 1023 0132 1023 1023\n 1 2 1 0 \n 0 0 0 0 0 0 -1 1 0 -1 0 1 -10 11 -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 3 0 -3 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000000 0.000000001895\n\n 5 6 5 7 \n 0132 0132 0132 0132\n 2 1 0 1 \n 0 11 -11 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 1.999999998978 0.000000175554\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_0101_8'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0110_8'], 'c_1001_8' : d['c_0101_5'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['c_1100_1'], 'c_1100_8' : negation(d['c_1100_1']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_1'], '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' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0110_8'], '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_9'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})}"; 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);