// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_187\ngeometric_solution 12.63941433\noriented_manifold\nCS_known -0.0000000000000000\n\n1 0\n torus 0.000000000000 0.000000000000\n\n14\n 1 1 2 3 \n 0132 1302 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 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 0.491606289010 0.661952595395\n\n 0 4 5 0 \n 0132 0132 0132 2031\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 5 -5 0 0 0 -1 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 0.729774011464 0.950200190321\n\n 6 6 5 0 \n 0132 1230 3120 0132\n 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 0 0 0 0 0 0 0 1 0 0 -1 0 -5 5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.641210726113 0.960526504459\n\n 7 6 0 8 \n 0132 1302 0132 0132\n 0 0 0 0 \n 0 0 0 0 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 0 -1 1 0 0 0 0 4 0 0 -4 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.071600436558 1.212504660461\n\n 9 1 9 10 \n 0132 0132 3012 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 -5 1 4 1 0 -1 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 0.165299234255 1.733999565610\n\n 7 11 2 1 \n 3120 0132 3120 0132\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 -5 5 -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 0.204131672074 0.954166121524\n\n 2 8 2 3 \n 0132 2031 3012 2031\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 -5 5 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 0.519246647800 0.720163150880\n\n 3 12 8 5 \n 0132 0132 0132 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 -1 1 0 0 0 0 -4 4 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.559431484796 0.759905910721\n\n 6 13 3 7 \n 1302 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 -1 0 0 1 5 -5 0 0 0 -4 4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.118731895239 0.846245110794\n\n 4 4 13 12 \n 0132 1230 0321 0213\n 0 0 0 0 \n 0 0 0 0 0 0 1 -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 -1 0 -1 0 5 -4 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 0.225382828279 0.468208179951\n\n 12 11 4 11 \n 2031 3201 0132 1230\n 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 4 -4 0 0 0 0 0 0 4 0 -4 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.152028998600 0.401870284690\n\n 10 5 10 13 \n 3012 0132 2310 2103\n 0 0 0 0 \n 0 0 -1 1 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 -4 4 0 0 0 0 0 0 0 0 4 0 -4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.119810883822 0.793557111031\n\n 13 7 10 9 \n 0132 0132 1302 0213\n 0 0 0 0 \n 0 0 0 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 0 0 0 -1 0 0 1 0 -4 0 4 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.305705800521 0.695629915206\n\n 12 8 9 11 \n 0132 0132 0321 2103\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 1 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 -1 1 0 1 0 -1 0 0 4 0 -4 0 5 -5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.112142249827 0.434302515660\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' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_13'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : d['c_1001_2'], 'c_1010_13' : d['c_1001_2'], 'c_1010_12' : d['c_1001_13'], 'c_1010_11' : negation(d['c_1001_2']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1001_13'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0110_11'], 'c_1100_13' : negation(d['c_0110_11']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_13'], 'c_1100_8' : negation(d['c_0101_5']), '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' : 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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : negation(d['c_0101_10']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0101_10']), 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_2'], '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_10'], 'c_0110_8' : d['c_0011_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})}"; 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);