// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n5901\ngeometric_solution 11.58834987\noriented_manifold\nCS_known 0.0000000000000006\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n13\n 1 2 3 4 \n 0132 0132 0132 0132\n 1 1 1 1 \n 0 0 0 0 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 -3 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -1.121633120637 0.857739701312\n\n 0 5 7 6 \n 0132 0132 0132 0132\n 1 1 1 1 \n 0 0 0 0 0 0 1 -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 0 0 2 -2 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 0.723617786732 0.864419521720\n\n 5 0 7 6 \n 0132 0132 2310 1023\n 1 1 1 1 \n 0 0 0 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 1 0 -1 0 0 0 0 -2 3 0 -1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.319555641841 0.678185400321\n\n 8 7 9 0 \n 0132 2031 0132 0132\n 1 1 1 1 \n 0 0 0 0 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 0 0 0 0 0 0 0 0 3 0 -3 0 -2 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.048587155222 0.646325451498\n\n 9 10 0 9 \n 1230 0132 0132 0132\n 1 1 0 1 \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 -1 0 0 0 0 0 3 1 0 -4 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.427620214110 0.953836953365\n\n 2 1 6 10 \n 0132 0132 2310 2103\n 1 1 1 1 \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 2 -2 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.182349349767 0.817887144727\n\n 11 5 1 2 \n 0132 3201 0132 1023\n 1 1 1 1 \n 0 0 0 0 -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 0 0 -3 0 2 1 -1 0 0 1 -2 0 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.290338063719 1.083695739019\n\n 3 2 11 1 \n 1302 3201 3120 0132\n 1 1 1 1 \n 0 0 0 0 1 0 0 -1 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 2 0 0 -2 0 0 0 0 -3 0 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.850470574826 0.322075331888\n\n 3 8 11 8 \n 0132 2310 0132 3201\n 1 1 1 1 \n 0 1 -1 0 0 0 1 -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 3 -3 0 0 0 3 -3 0 3 0 -3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.435147023307 0.809884279572\n\n 12 4 4 3 \n 0132 3012 0132 0132\n 1 1 1 0 \n 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 2 0 0 -2 -1 -3 4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.427620214110 0.953836953365\n\n 12 4 12 5 \n 1302 0132 0132 2103\n 1 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 0 0 0 0 0 0 0 0 0 0\n 0 -1 1 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 0.462557694613 0.770824954099\n\n 6 12 7 8 \n 0132 1230 3120 0132\n 1 1 1 1 \n 0 0 -1 1 1 0 0 -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 0 -3 3 3 0 0 -3 2 -2 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.048587155222 0.646325451498\n\n 9 10 11 10 \n 0132 2031 3012 0132\n 1 1 0 1 \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 1 -1 0 0 0 0 1 -1 0 0 -2 0 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.462557694613 0.770824954099\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_7']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 14); 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);