// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n33272\ngeometric_solution 7.39753978\noriented_manifold\nCS_known -0.0000000000000001\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n8\n 1 2 2 3 \n 0132 0132 1230 0132\n 0 0 1 0 \n 0 -1 0 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 4 1 -5 0 0 0 0 -8 -1 0 9 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.055826032111 1.481863815310\n\n 0 3 5 4 \n 0132 1023 0132 0132\n 0 0 0 1 \n 0 -1 1 0 0 0 -1 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 5 -5 0 0 0 4 -4 0 0 0 0 8 -9 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.046046730465 1.191089415307\n\n 6 0 5 0 \n 0132 0132 3012 3012\n 0 0 0 1 \n 0 1 -1 0 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 -4 4 0 -4 0 5 -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 0.318914292276 0.447599827562\n\n 1 6 0 7 \n 1023 0132 0132 0132\n 0 0 0 1 \n 0 1 -1 0 1 0 0 -1 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 -5 5 0 -5 0 0 5 0 0 0 0 9 0 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.401853935630 0.837757349798\n\n 4 5 1 4 \n 3012 3201 0132 1230\n 0 0 0 0 \n 0 1 0 -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 -4 0 4 -4 0 4 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 0.459649208440 0.673312176238\n\n 6 2 4 1 \n 3120 1230 2310 0132\n 0 0 1 0 \n 0 1 0 -1 -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 -5 0 5 4 0 0 -4 0 1 0 -1 0 -4 4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.046046730465 1.191089415307\n\n 2 3 7 5 \n 0132 0132 2031 3120\n 0 0 1 0 \n 0 -1 1 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 5 -5 0 4 0 0 -4 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 0.534527068654 0.970385841205\n\n 7 7 3 6 \n 1230 3012 0132 1302\n 0 0 0 0 \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 5 0 -5 0 0 -5 0 5 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.359656433525 0.384836246938\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_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_6' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0101_5']), '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_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_5'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 9); 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);