// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_476\ngeometric_solution 13.64351537\noriented_manifold\nCS_known 0.0000000000000009\n\n1 0\n torus 0.000000000000 0.000000000000\n\n15\n 1 1 2 3 \n 0132 1230 0132 0132\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 -1 1 0 1 0 0 -1 1 0 0 -1 -13 13 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.161462665694 0.666354869806\n\n 0 4 0 3 \n 0132 0132 3012 2031\n 0 0 0 0 \n 0 1 -1 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 13 -13 0 -1 0 1 0 13 -14 0 1 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.656534763949 1.417477728781\n\n 3 4 5 0 \n 0132 1230 0132 0132\n 0 0 0 0 \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 -13 13 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.139624274408 1.063768712009\n\n 2 1 0 5 \n 0132 1302 0132 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 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 -0.611742433427 0.928134966951\n\n 6 1 2 7 \n 0132 0132 3012 0132\n 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 -13 13 0 0 0 -1 1 1 -1 0 0 -14 14 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.374539025581 0.605046771997\n\n 8 6 3 2 \n 0132 1302 0132 0132\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 0 0 -1 0 1 0 13 0 0 -13 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.260332118990 1.194891942332\n\n 4 7 9 5 \n 0132 2103 0132 2031\n 0 0 0 0 \n 0 -1 1 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 -14 14 0 0 0 0 0 14 -14 0 0 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.721666461033 0.810488028726\n\n 10 6 4 9 \n 0132 2103 0132 0132\n 0 0 0 0 \n 0 1 0 -1 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 14 0 -14 1 0 -1 0 0 14 0 -14 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.059276217653 1.806225903507\n\n 5 11 12 12 \n 0132 0132 2103 0132\n 0 0 0 0 \n 0 0 -1 1 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 -13 13 1 0 0 -1 0 0 0 0 -13 13 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.925575403873 0.836611130134\n\n 10 11 7 6 \n 3120 3012 0132 0132\n 0 0 0 0 \n 0 0 1 -1 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 14 -14 0 0 0 0 0 1 0 -1 -14 0 14 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.387220386418 0.688199560146\n\n 7 13 14 9 \n 0132 0132 0132 3120\n 0 0 0 0 \n 0 0 -1 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 0 -14 14 -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 0.374539025581 0.605046771997\n\n 9 8 13 14 \n 1230 0132 1302 0321\n 0 0 0 0 \n 0 0 -1 1 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 0 -14 14 -1 0 0 1 0 -13 0 13 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.797000205200 0.570577716016\n\n 8 13 8 14 \n 2103 1302 0132 1302\n 0 0 0 0 \n 0 0 -1 1 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 -13 13 0 0 1 -1 13 -13 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.405389541141 0.537457808292\n\n 11 10 14 12 \n 2031 0132 2103 2031\n 0 0 0 0 \n 0 0 -1 1 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 0 -13 13 14 0 -14 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 0.454145017608 0.309442204473\n\n 13 11 12 10 \n 2103 0321 2031 0132\n 0 0 0 0 \n 0 -1 0 1 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 -14 0 14 14 0 -13 -1 13 -13 0 0 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.656534763949 1.417477728781\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_0101_13'], 'c_1001_11' : d['c_0110_13'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : d['c_0011_14'], 'c_1001_12' : d['c_0110_13'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_12'], 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_14'], 'c_1010_14' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_13'], '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_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : 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_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_1001_2']), 'c_1100_8' : d['c_0101_13'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_14' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_13'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1100_13' : negation(d['c_0101_10']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_2'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0110_13'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_13'], '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' : d['c_0101_13'], '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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_14']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_0']), '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_0110_11' : negation(d['c_0011_14']), 'c_0110_10' : d['c_0101_6'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : negation(d['c_0101_13']), 'c_0110_14' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0011_0']), 'c_0101_12' : d['c_0101_12'], 's_0_8' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_12'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_4']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 16); 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);