// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_508\ngeometric_solution 12.73555499\noriented_manifold\nCS_known -0.0000000000000002\n\n1 0\n torus 0.000000000000 0.000000000000\n\n14\n 1 2 2 3 \n 0132 0132 0321 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 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 0.929178991869 1.310517663030\n\n 0 3 5 4 \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 1 -1 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 -0.051340256395 0.743378118876\n\n 4 0 0 6 \n 0321 0132 0321 0132\n 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 1 0 -1 12 0 0 -12 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 0.929178991869 1.310517663030\n\n 1 7 0 7 \n 1023 0132 0132 0213\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 -1 1 -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 0.379333340701 0.903758284426\n\n 2 5 1 7 \n 0321 1230 0132 1230\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 0 0 0 0 0 0 0 0 -12 12 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.714311525557 0.704392727305\n\n 8 9 4 1 \n 0132 0132 3012 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 11 -12 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 0.432515398777 1.306932954413\n\n 10 11 2 11 \n 0132 0132 0132 0213\n 0 0 0 0 \n 0 0 0 0 0 0 1 -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 1 -1 0 0 12 -12 -12 12 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.668927261330 0.805386697031\n\n 4 3 8 3 \n 3012 0132 0132 0213\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 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 0.379333340701 0.903758284426\n\n 5 12 9 7 \n 0132 0132 1023 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 -11 12 -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 0.324041147631 0.369762115901\n\n 10 5 8 12 \n 2310 0132 1023 3012\n 0 0 0 0 \n 0 -1 0 1 1 0 -1 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 -11 0 11 12 0 -12 0 -11 0 0 11 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.391042529494 1.260884932497\n\n 6 13 9 12 \n 0132 0132 3201 2310\n 0 0 0 0 \n 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 11 -11 0 11 0 -11 12 0 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.184030423494 0.634600365290\n\n 13 6 13 6 \n 0213 0132 0321 0213\n 0 0 0 0 \n 0 0 0 0 1 0 -1 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 -1 1 11 0 -11 0 -12 0 0 12 0 -12 12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.668927261330 0.805386697031\n\n 10 8 9 13 \n 3201 0132 1230 2103\n 0 0 0 0 \n 0 1 0 -1 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 11 0 -11 11 0 -11 0 0 -1 0 1 11 0 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.086975787845 1.691578308588\n\n 11 10 11 12 \n 0213 0132 0321 2103\n 0 0 0 0 \n 0 0 0 0 1 0 -1 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 1 -1 12 0 -12 0 -11 0 0 11 0 -11 11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.668927261330 0.805386697031\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_10'], 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_13' : negation(d['c_0110_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0110_3'], 'c_1001_7' : d['c_1001_12'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_9'], 'c_1010_13' : negation(d['c_0101_9']), 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0110_12']), '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'], 'c_0101_12' : d['c_0011_4'], 'c_0101_11' : negation(d['c_0011_10']), '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' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : 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_1001_12']), 'c_1100_8' : d['c_1001_12'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : negation(d['c_0110_3']), 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : d['c_0011_12'], 'c_1100_13' : negation(d['c_0110_12']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0110_12']), 'c_1010_5' : d['c_0101_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_12'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_1001_12'], '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' : 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_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : 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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0110_12'], 'c_1010_4' : d['c_0101_5'], 'c_0011_7' : d['c_0011_0'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0110_3']), 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 15); 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);