// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nK14a12374\ngeometric_solution 9.45550177\noriented_manifold\nCS_known 0.0000000000000002\n\n1 0\n torus 0.000000000000 0.000000000000\n\n12\n 1 2 3 2 \n 0132 0132 0132 1230\n 0 0 0 0 \n 0 0 -1 1 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 -15 15 1 0 -16 15 1 -1 0 0 0 -15 15 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.210100097073 0.773310687572\n\n 0 4 3 5 \n 0132 0132 2103 0132\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 -15 15 -1 0 0 1 0 16 0 -16 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.773406187834 0.497545736685\n\n 0 0 7 6 \n 3012 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 -1 0 0 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 0 0 -15 0 -1 16 -15 15 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.646425040294 0.632849036341\n\n 1 8 6 0 \n 2103 0132 1302 0132\n 0 0 0 0 \n 0 -1 0 1 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 0 -15 0 15 0 0 -16 16 15 0 0 -15 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.673294970885 0.553650292836\n\n 6 1 8 8 \n 1023 0132 1023 3120\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 -1 0 1 16 -16 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.938928912755 0.549885196208\n\n 7 8 1 7 \n 0213 0321 0132 3201\n 0 0 0 0 \n 0 1 -1 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 15 -15 0 1 0 -1 0 1 -1 0 0 -16 0 16 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.587324868366 0.615931688403\n\n 3 4 2 9 \n 2031 1023 0132 0132\n 0 0 0 0 \n 0 0 0 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 0 0 0 0 0 -16 16 0 0 0 0 16 -16 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.806989947185 0.525432867897\n\n 5 5 9 2 \n 0213 2310 3201 0132\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 0 0 0 -1 0 0 1 -1 0 0 1 16 0 -16 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.189138825016 0.850355773215\n\n 4 3 4 5 \n 3120 0132 1023 0321\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 15 0 -15 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 0.626989873580 0.864122226929\n\n 7 10 6 10 \n 2310 0132 0132 1023\n 0 0 0 0 \n 0 0 0 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 0 0 0 16 0 -16 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 0.714013020186 2.253745657064\n\n 11 9 11 9 \n 0132 0132 1023 1023\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 0.505266893430 0.205238580747\n\n 10 11 10 11 \n 0132 1302 1023 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 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 0.578149565982 0.048120551676\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0101_4'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_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' : d['c_0011_10'], 'c_1100_8' : d['c_0101_8'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_9'], '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'], '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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0011_7'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_9']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 13); 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);