// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10_114\ngeometric_solution 15.30490434\noriented_manifold\nCS_known -0.0000000000000011\n\n1 0\n torus 0.000000000000 0.000000000000\n\n17\n 1 2 3 4 \n 0132 0132 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 1 0 -1 -1 0 1 0 1 0 0 -1 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.287265618723 1.066036603298\n\n 0 5 7 6 \n 0132 0132 0132 0132\n 0 0 0 0 \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 1 0 -1 1 0 -1 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 0.323712557471 0.610764481614\n\n 3 0 7 8 \n 1023 0132 1302 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 -1 1 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 0.009452471799 1.455478690576\n\n 5 2 9 0 \n 0132 1023 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 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 0.393644935602 0.845037323810\n\n 10 8 0 11 \n 0132 0132 0132 0132\n 0 0 0 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 1 -1 0 0 0 0 -2 2 0 0 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.127439321319 0.746537597379\n\n 3 1 12 13 \n 0132 0132 0132 0132\n 0 0 0 0 \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 -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 0.758970106821 0.597089844493\n\n 14 10 1 11 \n 0132 3120 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 1 -1 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 0.323712557471 0.610764481614\n\n 2 15 10 1 \n 2031 0132 3120 0132\n 0 0 0 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 -2 2 0 -1 0 0 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 1.174883663863 1.731925010075\n\n 11 4 2 10 \n 1023 0132 0132 1023\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 0 0 0 1 0 0 -1 -1 1 0 0 1 -2 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.138283313316 0.896608038571\n\n 14 16 11 3 \n 2103 0132 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 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 0.876328525613 0.926303385022\n\n 4 6 7 8 \n 0132 3120 3120 1023\n 0 0 0 0 \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 2 0 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.322526314588 1.278223086276\n\n 6 8 4 9 \n 3120 1023 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 0 0 0 0 0 1 0 -1 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.456823162782 0.896398804791\n\n 14 15 13 5 \n 3120 0321 2103 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 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 0.434278972986 0.877389185250\n\n 12 15 5 16 \n 2103 0213 0132 1230\n 0 0 0 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 1 -1 0 0 0 -1 1 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 1.217366938251 1.035186626282\n\n 6 16 9 12 \n 0132 1302 2103 3120\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 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 2.182071625249 0.873160135561\n\n 16 7 13 12 \n 2103 0132 0213 0321\n 0 0 0 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 2 -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 0.359908404802 0.549154965762\n\n 13 9 15 14 \n 3012 0132 2103 2031\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 0 0 -1 1 0 0 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.396386739936 1.099388606876\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_1'], 'c_1001_14' : negation(d['c_0011_16']), 'c_1001_16' : d['c_0011_15'], 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_0011_13'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0011_15'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_14'], 'c_1001_8' : d['c_0101_8'], 'c_1010_13' : d['c_0011_13'], 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0011_14'], 'c_1010_10' : d['c_0011_14'], 'c_1010_16' : d['c_0011_14'], 'c_1010_15' : negation(d['c_1001_10']), 'c_1010_14' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0011_13'], 'c_0101_15' : d['c_0011_13'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : negation(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_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_16']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_7'], 'c_1100_14' : negation(d['c_0101_12']), 'c_1100_15' : d['c_0011_13'], 's_3_11' : d['1'], 'c_1100_16' : d['c_0011_12'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1100_13' : negation(d['c_0011_16']), 'c_1100_12' : negation(d['c_0011_16']), 'c_1100_9' : d['c_1100_0'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_15'], 's_3_14' : d['1'], 'c_1100_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : 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' : 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' : negation(d['c_0011_16']), 'c_0011_8' : d['c_0011_10'], 's_3_10' : d['1'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_15']), 'c_0011_6' : negation(d['c_0011_14']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_14'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : d['c_0011_16'], 'c_0110_12' : d['c_0101_0'], 'c_0110_15' : negation(d['c_0011_12']), 'c_0110_14' : d['c_0101_0'], 'c_0110_16' : negation(d['c_0011_16']), 'c_1010_4' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_15'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_14'], 'c_0101_8' : d['c_0101_8'], 's_1_16' : d['1'], 's_1_15' : d['1'], '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_12'], 'c_0110_8' : d['c_0011_14'], '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_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_14'], 'c_0101_13' : d['c_0101_12']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 18); 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);