// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_164\ngeometric_solution 14.01313927\noriented_manifold\nCS_known -0.0000000000000002\n\n1 0\n torus 0.000000000000 0.000000000000\n\n15\n 1 2 2 3 \n 0132 0132 1302 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 -1 0 0 0 0 0 8 0 0 -8 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.332294027066 1.663583932371\n\n 0 4 5 4 \n 0132 0132 0132 1230\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 8 -8 1 -1 0 0 -8 8 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.427817942664 0.569635845325\n\n 0 0 7 6 \n 2031 0132 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 1 0 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 0.884537173478 0.578048617618\n\n 8 5 0 9 \n 0132 3012 0132 0132\n 0 0 0 0 \n 0 0 0 0 1 0 0 -1 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 0 0 0 -7 0 0 7 0 -8 0 8 -1 -7 8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.443421356714 0.368236122760\n\n 1 1 10 9 \n 3012 0132 0132 2310\n 0 0 0 0 \n 0 0 0 0 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 0 0 0 0 8 -8 8 -8 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.877745021476 0.873839053284\n\n 3 7 8 1 \n 1230 3120 3120 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 8 0 0 -8 7 -7 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.969026847175 1.837853051458\n\n 8 8 2 11 \n 3012 0132 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 0 0 0 0 0 0 7 0 0 -7 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.615164592969 0.715871750997\n\n 9 5 12 2 \n 3012 3120 0132 0132\n 0 0 0 0 \n 0 0 0 0 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 0 1 -1 0 0 -1 1 -7 7 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.567770039373 0.611255596684\n\n 3 6 5 6 \n 0132 0132 3120 1230\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 7 0 0 -7 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 0.309501960681 0.803537859813\n\n 4 11 3 7 \n 3201 1023 0132 1230\n 0 0 0 0 \n 0 0 0 0 0 0 1 -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 0 0 -7 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 0.061685474527 0.668960690205\n\n 13 13 12 4 \n 0132 1230 3201 0132\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 1 0 7 -8 -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 0.307654583217 1.037921365359\n\n 9 12 6 14 \n 1023 0132 0132 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 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 0.203722707548 0.664034976528\n\n 10 11 14 7 \n 2310 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 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 0 1 -1 -1 0 0 1 -7 7 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.168112286700 1.589471823524\n\n 10 14 10 14 \n 0132 3120 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 -1 1 0 -1 0 0 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 0.737480881046 0.885649742409\n\n 13 13 11 12 \n 3201 3120 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 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.307654583217 1.037921365359\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_14']), 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_0101_13'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_11'], 'c_1010_13' : negation(d['c_0011_14']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_13'], 'c_1010_14' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : d['c_0101_13'], 'c_0101_12' : d['c_0011_14'], 'c_0101_11' : d['c_0101_11'], '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' : d['c_0011_14'], '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' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_1100_11'], 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_11'], 'c_1100_14' : d['c_1100_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0011_11'], 'c_1100_13' : d['c_0011_14'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_0011_7']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_13'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_2_8' : 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_1100_11'], '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' : d['c_0011_11'], '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_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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_14' : d['c_0011_14'], 'c_1010_4' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 's_0_8' : d['1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_13'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], '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_0011_7'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0101_11'], 's_2_9' : d['1']})}"; 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);