// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n4628\ngeometric_solution 12.32632253\noriented_manifold\nCS_known 0.0000000000000007\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n13\n 1 1 2 3 \n 0132 1302 0132 0132\n 0 0 0 1 \n 0 -1 0 1 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 4 1 -5 0 0 0 0 1 0 0 -1 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.240438783742 1.148995942789\n\n 0 4 5 0 \n 0132 0132 0132 2031\n 0 0 1 0 \n 0 -1 1 0 0 0 -1 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 4 -4 0 0 0 4 -4 -1 1 0 0 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.400374908967 0.605651178800\n\n 6 6 7 0 \n 0132 1230 0132 0132\n 0 0 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 1 0 -1 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 0.204023946738 0.671851132065\n\n 8 9 0 10 \n 0132 0132 0132 0132\n 0 0 1 0 \n 0 1 -1 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 -5 5 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 0.393837946839 0.965118035283\n\n 9 1 11 5 \n 3201 0132 0132 3012\n 0 0 0 1 \n 0 1 -1 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 -4 4 0 0 0 0 0 1 -1 0 0 6 -1 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.825516436791 0.833812678184\n\n 5 5 4 1 \n 1302 2031 1230 0132\n 0 0 0 0 \n 0 1 0 -1 -1 0 0 1 -1 1 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 -4 0 4 4 0 0 -4 4 -4 0 0 4 -4 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.473278208842 1.251565473365\n\n 2 12 2 11 \n 0132 0132 3012 3120\n 1 0 1 1 \n 0 0 0 0 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 1 -1 0 0 0 -1 1 0 -5 0 5 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.586166477582 1.362754348050\n\n 9 12 10 2 \n 0213 1230 0132 0132\n 0 0 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 0 0 0 0 0 0 0 -6 5 0 1 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.099500665343 1.157513593374\n\n 3 12 10 11 \n 0132 3012 3012 3012\n 1 0 0 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 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 0.656923220225 2.068633176673\n\n 7 3 11 4 \n 0213 0132 0213 2310\n 0 1 0 1 \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\n 0 5 -4 -1 6 0 0 -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 0.779309562212 0.514543359699\n\n 12 8 3 7 \n 3120 1230 0132 0132\n 0 0 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 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 0.695966360487 0.720625138808\n\n 6 9 8 4 \n 3120 0213 1230 0132\n 0 0 1 1 \n 0 -1 0 1 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 4 0 -4 -1 0 1 0 -5 0 0 5 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.434990513949 0.560018834376\n\n 8 6 7 10 \n 1230 0132 3012 3120\n 1 0 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 1 0 0 0 0 0 0 1 0 -1 0 5 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.523033428953 0.674810899309\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_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0101_11']), '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'], 'c_1100_12' : negation(d['c_0101_10']), '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' : negation(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_3']), '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' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_0'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})}"; 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);