// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nK12n571\ngeometric_solution 8.36639819\noriented_manifold\nCS_known 0.0000000000000000\n\n1 0\n torus 0.000000000000 0.000000000000\n\n10\n 1 2 3 2 \n 0132 0132 0132 1230\n 0 0 0 0 \n 0 0 0 0 1 0 0 -1 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 6 0 0 -6 1 -1 0 0 0 6 -6 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.233028706471 1.280848231728\n\n 0 4 6 5 \n 0132 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 -1 0 0 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 -6 0 0 6 0 -5 0 5 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.344115842270 0.574676225564\n\n 0 0 5 4 \n 3012 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 -1 1 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 -1 0 1 1 0 -6 5 6 -6 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.344115842270 0.574676225564\n\n 7 8 7 0 \n 0132 0132 1023 0132\n 0 0 0 0 \n 0 0 0 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\n 0 0 0 0 0 0 0 0 -6 0 0 6 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.163875532182 1.254990644273\n\n 9 1 2 6 \n 0132 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 -1 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 0 -1 1 0 0 -5 5 0 0 0 0 -5 5 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.618589945758 0.423952965879\n\n 8 8 1 2 \n 3012 0213 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 -1 1 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 0 0 -6 6 -1 0 0 1 -1 6 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.233028706471 1.280848231728\n\n 9 8 4 1 \n 1230 1023 0132 0132\n 0 0 0 0 \n 0 0 0 0 1 0 -1 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 1 -1 0 5 0 -5 0 0 1 0 -1 6 -6 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -1.396452350027 1.805977867032\n\n 3 9 3 9 \n 0132 1230 1023 2103\n 0 0 0 0 \n 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 6 -6 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.480839483344 0.197473564679\n\n 6 3 5 5 \n 1023 0132 0213 1230\n 0 0 0 0 \n 0 0 0 0 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 0 0 0 -1 0 0 1 -1 0 0 1 6 0 -6 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.233028706471 1.280848231728\n\n 4 6 7 7 \n 0132 3012 3012 2103\n 0 0 0 0 \n 0 -1 1 0 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 -6 6 0 0 0 0 0 5 -5 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.144015715514 0.659919786933\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_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_1001_0'], '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' : negation(d['c_0101_3']), 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1100_1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0101_0'], '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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_5'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_0'])})}"; 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);