// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL8n8\ndegenerate_solution 0.00000085\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\n8\n 1 2 2 2 \n 0132 0132 0321 0213\n 1 0 0 0 \n 0 -8 -1 9 -17 0 17 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 -1 0 1 1 0 -1 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 -0.000000000014 0.000000008189\n\n 0 3 3 3 \n 0132 0132 0321 0213\n 2 0 0 0 \n 0 -8 9 -1 17 0 0 -17 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 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n210880.460298180027 122112967.608000323176\n\n 4 0 0 0 \n 0132 0132 0321 0213\n 1 0 0 0 \n 0 8 1 -9 1 0 0 -1 0 0 0 0 16 1 -17 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 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000014 0.000000008189\n\n 4 1 1 1 \n 2103 0132 0321 0213\n 2 0 0 0 \n 0 8 -9 1 0 0 0 0 -17 0 0 17 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 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\n210880.460298181453 122112967.608000740409\n\n 2 5 3 6 \n 0132 0132 2103 0132\n 0 0 0 0 \n 0 0 17 -17 -1 0 0 1 -16 16 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 -1 1 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 -0.000000000132 0.000000006563\n\n 5 4 7 5 \n 3120 0132 0132 3120\n 0 0 0 0 \n 0 0 16 -16 0 0 0 0 0 0 0 0 16 -16 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 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-43480283.068035043776 -112506185.911323294044\n\n 7 7 4 7 \n 2031 0132 0132 1230\n 0 0 3 0 \n 0 -17 17 0 1 0 -1 0 -16 -1 0 17 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 -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\n3053764.042434419505 152300877.042690187693\n\n 6 6 6 5 \n 3012 0132 1302 0132\n 0 0 0 3 \n 0 17 -1 -16 0 0 0 0 0 0 0 0 -17 1 16 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 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.000000000132 0.000000006563\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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_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_6' : d['c_0101_0'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_0101_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_0'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], '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_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_6']), 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_0']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 9); 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);