// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL10a41\ngeometric_solution 11.36375264\noriented_manifold\nCS_known 0.0000000000000008\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n13\n 1 1 2 3 \n 0132 1230 0132 0132\n 1 1 1 1 \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 -5 1 4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.684775933477 1.245427813427\n\n 0 4 0 4 \n 0132 0132 3012 3012\n 1 1 1 1 \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 1 -1 5 0 0 -5 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.661003442542 0.616545822763\n\n 4 5 6 0 \n 3012 0132 0132 0132\n 1 1 1 1 \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 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 0.291089064103 0.186511003713\n\n 7 8 0 9 \n 0132 0132 0132 0132\n 1 1 1 1 \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 1 -1 0 0 0 0 0 4 -4 0 0 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.166064168686 1.126833951784\n\n 10 1 1 2 \n 0132 0132 1230 1230\n 1 1 1 1 \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 -5 0 5 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 0.190992030244 0.754595895018\n\n 11 2 10 9 \n 0132 0132 2031 2031\n 1 1 1 1 \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 0 0 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 0.363266787162 1.013276224686\n\n 10 9 9 2 \n 1230 2031 1230 0132\n 1 1 1 1 \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 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 1.695502139995 1.695770231747\n\n 3 12 12 8 \n 0132 0132 0321 1023\n 0 1 1 1 \n 0 1 -1 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 -4 5 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.848701659205 1.146785890013\n\n 11 3 11 7 \n 3012 0132 1023 1023\n 1 0 1 1 \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 -1 1 0 0 0 1 -1 -1 1 0 0 -4 4 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.435997816820 0.434288947259\n\n 6 5 3 6 \n 1302 1302 0132 3012\n 1 1 1 1 \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 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 0.559868641842 0.869869806976\n\n 4 6 12 5 \n 0132 3012 3201 1302\n 1 1 1 1 \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 0 0 0 5 0 -5 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 1.247532624176 0.549223728552\n\n 5 12 8 8 \n 0132 0321 1023 1230\n 0 1 1 1 \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 -1 1 -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 1.113077216516 0.857083796827\n\n 10 7 7 11 \n 2310 0132 0321 0321\n 0 1 1 1 \n 0 -1 1 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 1 0 5 -5 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.848701659205 1.146785890013\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_0']), 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : d['c_0110_8'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_6'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_9'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : d['c_0110_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['c_0101_8'], 's_1_7' : negation(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' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_11'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_8']), '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);