// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nK12n724\ngeometric_solution 11.75141740\noriented_manifold\nCS_known -0.0000000000000002\n\n1 0\n torus 0.000000000000 0.000000000000\n\n13\n 1 2 1 3 \n 0132 0132 3012 0132\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 -1 0 1 8 0 -8 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 1.087124214799 0.833093532987\n\n 0 0 3 4 \n 0132 1230 2310 0132\n 0 0 0 0 \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 8 -8 0 -8 0 8 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 -0.124173049013 1.187359499789\n\n 5 0 6 5 \n 0132 0132 0132 2031\n 0 0 0 0 \n 0 0 1 -1 -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 -8 7 8 0 -1 -7 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 0.577676842918 1.213441148637\n\n 6 1 0 7 \n 1230 3201 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 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 8 0 -8 8 -8 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.144554022853 0.511197402923\n\n 8 9 1 6 \n 0132 0132 0132 3012\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 -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 0.140810558660 0.720491386948\n\n 2 2 10 11 \n 0132 1302 0132 0132\n 0 0 0 0 \n 0 -1 1 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 7 -7 0 -8 0 8 0 0 -7 0 7 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.680161195374 0.671838539526\n\n 12 3 4 2 \n 0132 3012 1230 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 -8 0 8 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 0.247122813072 0.280908955358\n\n 10 9 3 8 \n 0321 2031 0132 2031\n 0 0 0 0 \n 0 0 0 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 0 -1 1 -7 0 0 7 0 0 0 0 -8 0 8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.230384036864 0.668650924615\n\n 4 7 11 9 \n 0132 1302 2310 1023\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 -7 0 7 0 0 0 0 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 0.457622827715 1.161983821516\n\n 7 4 10 8 \n 1302 0132 3012 1023\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 0 0 0 0 0 7 -7 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 -0.180641195539 0.749953120651\n\n 7 9 12 5 \n 0321 1230 0213 0132\n 0 0 0 0 \n 0 1 0 -1 -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 -7 0 7 8 0 0 -8 0 1 0 -1 7 0 -7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.486205680282 0.875187479249\n\n 12 8 5 12 \n 2103 3201 0132 1023\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 0 0 0 0 0 0 0 0 7 0 -7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.265961185936 0.889045602059\n\n 6 10 11 11 \n 0132 0213 2103 1023\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 0 0 0 0 0 7 -7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.386143573686 0.946944282195\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_8']), 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0110_9']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0110_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_7']), 's_3_11' : d['1'], 's_0_11' : 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_0011_12'], '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_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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_11'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_9']), 'c_1100_3' : negation(d['c_0110_9']), 'c_1100_2' : d['c_0101_8'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_11'], 'c_1100_10' : d['c_0110_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0110_9']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0110_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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'], 'c_1100_12' : negation(d['c_0110_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_11'], '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_0110_11'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 14); 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);