// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_240\ngeometric_solution 13.70141825\noriented_manifold\nCS_known 0.0000000000000006\n\n1 0\n torus 0.000000000000 0.000000000000\n\n15\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 1 0 10 0 -10 0 -1 0 0 1 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.224542969977 0.915183226962\n\n 0 0 5 4 \n 0132 1230 0132 0132\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 10 0 -10 -10 0 10 0 -1 0 0 1 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.538925772175 0.636032440453\n\n 6 0 7 6 \n 0132 0132 0132 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 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 0.969115193735 0.958807994376\n\n 8 9 0 7 \n 0132 0132 0132 2310\n 0 0 0 0 \n 0 0 0 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 0 0 0 -11 0 0 11 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 0.713770215094 0.579767571930\n\n 7 5 1 8 \n 2310 0213 0132 0132\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 -11 10 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 0.242907471869 0.462310226947\n\n 9 7 4 1 \n 3120 3120 0213 0132\n 0 0 0 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 -11 11 0 10 0 0 -10 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 1.636125602000 1.214382159168\n\n 2 2 10 9 \n 0132 1302 0132 1302\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 10 -10 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 0.478548967949 0.515905045590\n\n 3 5 4 2 \n 3201 3120 3201 0132\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 -1 1 0 0 0 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 1.060234683892 1.301757278178\n\n 3 11 4 12 \n 0132 0132 0132 0132\n 0 0 0 0 \n 0 0 0 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 1 -1 0 11 0 0 -11 -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 1.219431424638 0.889853058359\n\n 12 3 6 5 \n 0132 0132 2031 3120\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 10 -10 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 0.645928999155 0.539044041835\n\n 13 13 11 6 \n 0132 1230 2103 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 -1 11 -10 0 0 0 0 -1 0 0 1 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.277707388273 0.968394598393\n\n 10 8 14 12 \n 2103 0132 0132 0213\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 1 0 0 0 0 0 -11 0 0 11 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.646865010981 0.454549467380\n\n 9 14 8 11 \n 0132 0132 0132 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 0 0 0 0 0 11 -11 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 0.389283037800 0.492840830821\n\n 10 14 10 14 \n 0132 1230 3012 2310\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 1 -1 -1 1 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.726372262212 0.954168432077\n\n 13 12 13 11 \n 3201 0132 3012 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 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 0.726372262212 0.954168432077\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_13'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_0101_13'], 'c_1010_14' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_1001_8'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0011_4']), 'c_1100_14' : d['c_0011_10'], 'c_1100_9' : negation(d['c_0011_4']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_9'], 'c_1100_13' : negation(d['c_0011_11']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_7']), 's_3_12' : d['1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_1001_8'], '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_1001_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_3_11' : 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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : d['c_0101_13'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_9']), 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0101_9'], 'c_0110_14' : d['c_0101_10'], 'c_1010_4' : d['c_1001_8'], 'c_0101_12' : d['c_0101_1'], 'c_0011_7' : d['c_0011_7'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_13'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], '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_9'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_14' : d['1'], '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_1'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_7']), 'c_0110_2' : d['c_0101_13'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_2'], '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(), 16); 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);