// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL12n1998\ndegenerate_solution 0.00000007\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\n9\n 1 1 2 1 \n 0132 0321 0132 0132\n 0 1 1 1 \n 0 7 6 -13 0 0 0 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 -15 -13 28 0 0 0 0 0 2 0 -2 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.499999999753 0.000000009270\n\n 0 2 0 0 \n 0132 0213 0132 0321\n 0 1 1 1 \n 0 -6 13 -7 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 13 -28 15 0 0 0 0 0 2 0 -2 0 -2 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 2.000000000987 -0.000000037060\n\n 3 4 1 0 \n 0132 0132 0213 0132\n 0 1 1 1 \n 0 0 6 -6 -1 0 1 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 -13 13 2 0 -2 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 0.999999999541 0.000000010199\n\n 2 5 6 7 \n 0132 0132 0132 0132\n 2 1 1 1 \n 0 -1 4 -3 1 0 2 -3 -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 2 -7 5 -2 0 -3 5 2 -2 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.999999999939 0.000000005274\n\n 8 2 4 4 \n 0132 0132 0132 0132\n 0 2 1 1 \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 1.000000001618 -0.000000022897\n\n 8 3 8 6 \n 1023 0132 1230 0132\n 2 1 1 1 \n 0 1 -1 0 2 0 0 -2 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 0 -2 2 0 -3 0 0 3 0 0 0 0 -5 2 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000000149 0.000000002004\n\n 7 7 5 3 \n 0132 0132 0132 0132\n 2 1 1 1 \n 0 4 0 -4 0 0 2 -2 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 -7 0 7 0 0 -3 3 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 -2.614505382525 -0.224110978244\n\n 6 6 3 8 \n 0132 0132 0132 1302\n 2 1 1 1 \n 0 -4 3 1 0 0 3 -3 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 7 -5 -2 0 0 -5 5 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 -0.379691689343 0.032546529267\n\n 4 5 7 5 \n 0132 1023 2031 3012\n 1 2 1 1 \n 0 -2 0 2 0 0 -1 1 0 0 0 0 0 -3 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 3 0 -3 0 0 2 -2 0 0 0 0 0 5 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000000054 0.000000007530\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_3'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 's_2_8' : negation(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' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_1001_3']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_1100_4'], 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1001_0'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_3'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_4'], 'c_0110_7' : negation(d['c_0101_5']), '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(), 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);