// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n9825\ngeometric_solution 10.82245680\noriented_manifold\nCS_known -0.0000000000000001\n\n3 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n11\n 1 2 2 3 \n 0132 0132 1302 0132\n 0 2 2 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 -1 1 -1 0 1 0 0 -4 0 4 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.543806006312 0.835638899357\n\n 0 4 5 4 \n 0132 0132 0132 1230\n 0 2 1 2 \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 -2 0 2 1 0 -1 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 0.503300210834 0.921926285849\n\n 0 0 5 4 \n 2031 0132 3012 0132\n 0 0 1 2 \n 0 0 0 0 0 0 0 0 -1 1 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 1 0 0 -1 0 1 0 -1 -1 4 -3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.452921007516 0.840668329946\n\n 6 7 0 4 \n 0132 0132 0132 0213\n 0 2 0 2 \n 0 1 0 -1 0 0 0 0 0 -1 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 -1 -1 2 0 0 0 0 0 1 0 -1 4 0 -4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.407427816957 0.919823965919\n\n 1 1 2 3 \n 3012 0132 0132 0213\n 0 0 2 1 \n 0 -1 0 1 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 2 0 -2 -2 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 0.452921007516 0.840668329946\n\n 8 2 9 1 \n 0132 1230 0132 0132\n 0 2 2 0 \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 -1 1 -3 3 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.597432602382 0.908850905157\n\n 3 8 9 8 \n 0132 1302 3120 0132\n 2 2 2 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 -4 1 0 3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.370212122836 0.832117046605\n\n 10 3 10 8 \n 0132 0132 2310 2031\n 0 2 2 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 1 -1 0 1 0 0 -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 0.593266781897 1.182598797776\n\n 5 7 6 6 \n 0132 1302 0132 2031\n 2 2 0 2 \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 1 0 -1 0 0 0 0 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 0.578290235636 0.764074985254\n\n 10 10 6 5 \n 2103 0321 3120 0132\n 0 2 0 2 \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 -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 0.260064286982 0.756150959500\n\n 7 7 9 9 \n 0132 3201 2103 0321\n 0 2 0 2 \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 -1 0 1 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 0.416508936178 0.350146680869\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_0101_5']), 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], '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_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 12); 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);