// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nK9a26\ngeometric_solution 8.01486146\noriented_manifold\nCS_known -0.0000000000000001\n\n1 0\n torus 0.000000000000 0.000000000000\n\n9\n 1 2 1 2 \n 0132 0132 0213 0213\n 0 0 0 0 \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 0 1 -1 -7 0 1 6 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 0.664280388290 0.753034144829\n\n 0 0 3 3 \n 0132 0213 0213 0132\n 0 0 0 0 \n 0 0 0 0 -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 -1 1 0 7 0 -7 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 0.493873750638 1.107780971063\n\n 4 0 5 0 \n 0132 0132 0132 0213\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 -1 1 0 0 0 0 6 0 0 -6 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.664280388290 0.753034144829\n\n 4 1 1 6 \n 1302 0213 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 -1 0 1 -6 0 0 6 0 7 0 -7 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.341206608023 0.746814037101\n\n 2 3 7 7 \n 0132 2031 0132 2310\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 1 -1 0 0 -6 6 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.556077547537 0.371191515332\n\n 7 8 8 2 \n 2310 0132 0321 0132\n 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 0 0 0 0 0 0 0 0\n 0 -1 0 1 0 0 0 0 0 1 0 -1 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.066802686025 0.596753215107\n\n 7 8 3 8 \n 1230 1302 0132 1230\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 -1 1 0 0 -6 6 0 1 0 -1 0 -7 7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.760569595728 0.486362685325\n\n 4 6 5 4 \n 3201 3012 3201 0132\n 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 2.079030443387 1.607961823197\n\n 6 5 5 6 \n 3012 0132 0321 2031\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 1 0 -1 -1 0 1 0 -6 -1 0 7 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.066802686025 0.596753215107\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_6'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_1001_2'], 's_2_8' : 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_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_8' : d['c_0011_6'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0110_8'], 'c_1100_1' : d['c_0110_8'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : d['c_1001_2'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_0011_6'], '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_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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_5']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_5'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 10); 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);