// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10_39\ngeometric_solution 11.58951873\noriented_manifold\nCS_known 0.0000000000000007\n\n1 0\n torus 0.000000000000 0.000000000000\n\n13\n 1 1 2 3 \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 -12 1 0 11 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.153946284956 0.672013500214\n\n 0 3 4 0 \n 0132 2103 0132 2031\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 1 -1 0 0 0 0 0 1 0 -1 12 0 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.724727744069 0.575645280358\n\n 5 6 4 0 \n 0132 0132 1302 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 1 0 -1 0 0 0 0 -1 0 0 1 -12 0 12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.304154660377 1.239841392202\n\n 7 1 0 4 \n 0132 2103 0132 1302\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 -1 1 0 0 0 0 0 0 0 0 0 11 0 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.634461276184 0.901401698302\n\n 2 7 3 1 \n 2031 3120 2031 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 1 0 -1 0 0 0 0 -12 0 0 12 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.857373351748 0.959612600466\n\n 2 8 6 9 \n 0132 0132 1023 0132\n 0 0 0 0 \n 0 0 1 -1 0 0 1 -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 11 -11 0 0 11 -11 12 -12 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.307930912777 0.371115061286\n\n 9 2 5 7 \n 0132 0132 1023 1023\n 0 0 0 0 \n 0 0 -1 1 1 0 -1 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 -1 -11 12 11 0 -11 0 11 0 0 -11 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.496216003485 1.122623839335\n\n 3 4 10 6 \n 0132 3120 0132 1023\n 0 0 0 0 \n 0 0 0 0 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 0 0 0 0 0 12 -12 -11 0 0 11 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.304154660377 1.239841392202\n\n 11 5 10 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 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 1 0 0 0 12 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 2.135866844988 1.558313506083\n\n 6 11 5 8 \n 0132 0132 0132 1023\n 0 0 0 0 \n 0 -1 1 0 -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 -11 11 0 -11 0 11 0 0 0 0 0 -11 11 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.214317568209 0.680300651360\n\n 12 12 8 7 \n 0132 1230 1023 0132\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 0 0 12 0 0 -12 1 0 0 -1 -12 0 12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.364743363213 0.599556855942\n\n 8 9 12 12 \n 0132 0132 0213 2103\n 0 0 0 0 \n 0 1 -1 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 11 -11 0 0 0 12 -12 0 -11 0 11 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.364743363213 0.599556855942\n\n 10 11 10 11 \n 0132 0213 3012 2103\n 0 0 0 0 \n 0 1 0 -1 -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 11 0 -11 -12 0 0 12 12 -12 0 0 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.259413578338 1.217359138803\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_4']), 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), '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_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' : d['1'], 's_0_2' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_1100_10']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_6'], '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' : negation(d['c_0101_8']), '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_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_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_11']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), '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_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_12'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_1100_10']), 's_2_9' : d['1']})}"; 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);