// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n13162\ngeometric_solution 9.13329212\noriented_manifold\nCS_known -0.0000000000000003\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n10\n 1 1 2 1 \n 0132 1230 0132 2031\n 1 1 0 1 \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 -13 12 1 0 0 0 0 -1 2 0 -1 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.377533135880 0.661374898215\n\n 0 0 0 3 \n 0132 1302 3012 0132\n 1 1 1 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 0 0 0 0 0 13 -13 1 -1 0 0 1 1 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.349022464399 1.140403743221\n\n 4 3 5 0 \n 0132 1302 0132 0132\n 1 1 1 1 \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 0 12 -12 0 0 0 0 1 0 0 -1 0 13 -13 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.986870823548 0.968381002467\n\n 6 7 1 2 \n 0132 0132 0132 2031\n 1 1 1 1 \n 0 0 0 0 1 0 -1 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 0 0 -13 0 13 0 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 -0.388700498873 0.559050258129\n\n 2 6 8 9 \n 0132 1230 0132 0132\n 1 1 1 1 \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 13 -13 0 0 0 0 0 0 -12 0 12 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.958905336734 0.770133101972\n\n 8 9 7 2 \n 1230 0132 2031 0132\n 1 1 1 1 \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 12 0 -12 0 0 0 0 -13 0 0 13 0 12 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.241628097313 0.918474497870\n\n 3 9 4 8 \n 0132 3012 3012 3120\n 1 1 1 1 \n 0 1 0 -1 -1 0 1 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 -12 -1 13 13 0 -13 0 0 0 0 0 0 -12 12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.168344704058 0.989939282094\n\n 9 3 8 5 \n 3012 0132 3120 1302\n 1 1 1 1 \n 0 0 0 0 1 0 0 -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 0 0 0 -12 0 0 12 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 0.896553119801 1.671105776380\n\n 6 5 7 4 \n 3120 3012 3120 0132\n 1 1 1 1 \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 0 0 0 0 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 0.448276559900 0.835552888190\n\n 6 5 4 7 \n 1230 0132 0132 1230\n 1 1 1 1 \n 0 1 0 -1 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 -12 0 12 0 0 0 0 12 -12 0 0 12 0 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.620814048656 0.459237248935\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0011_2'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0011_2']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1001_3']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_5']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : 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_2']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0101_5']), 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0101_7']), 'c_0110_6' : d['c_0101_0']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 11); 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);