// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n40941\ngeometric_solution 12.12039739\noriented_manifold\nCS_known 0.0000000000000001\n\n3 0\n torus 0.000000000000 0.000000000000\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 0 2 \n 0 1 0 -1 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 1 0 -1 0 0 0 0 0 1 0 -1 -2 -1 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.017073097794 1.180871282325\n\n 0 4 0 5 \n 0132 0132 3012 0132\n 2 1 2 0 \n 0 0 0 0 0 0 -1 1 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 0 1 -1 0 0 -1 1 2 0 0 -2 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.581260929239 0.486176406122\n\n 6 7 8 0 \n 0132 0132 0132 0132\n 1 1 2 2 \n 0 0 0 0 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 0 0 0 0 0 0 0 3 0 0 -3 3 0 -3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.499132218615 0.496672197031\n\n 4 4 0 7 \n 0132 1302 0132 0132\n 1 1 2 0 \n 0 -1 1 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 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 0.416388186322 0.500241523987\n\n 3 1 9 3 \n 0132 0132 0132 2031\n 2 1 0 2 \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 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 0.987759013122 0.846655366591\n\n 6 10 1 9 \n 2103 0132 0132 0132\n 2 1 1 2 \n 0 0 0 0 1 0 -1 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 -1 1 0 1 0 -1 0 0 1 0 -1 0 -2 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.509387331240 0.458733337418\n\n 2 8 5 11 \n 0132 0132 2103 0132\n 1 1 2 2 \n 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 -1 1 -3 0 0 3 -3 3 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.242347091650 0.754594110202\n\n 12 2 3 10 \n 0132 0132 0132 3120\n 1 1 2 2 \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 1 -1 0 0 0 0 -2 0 0 2 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.855913516821 0.852005081221\n\n 11 6 10 2 \n 1023 0132 3120 0132\n 1 1 2 2 \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 -3 0 3 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.065476157396 0.908889873778\n\n 12 10 5 4 \n 3120 0321 0132 0132\n 2 1 2 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 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.795411793382 1.247775714852\n\n 7 5 8 9 \n 3120 0132 3120 0321\n 2 1 2 1 \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 1 -1 0 0 0 0 0 -2 2 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.930183956643 0.782928332563\n\n 12 8 6 12 \n 1023 1023 0132 0132\n 1 1 2 2 \n 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 2 1 -3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.552776342665 1.335643678688\n\n 7 11 11 9 \n 0132 1023 0132 3120\n 1 1 2 2 \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 -1 0 1 0 0 0 0 0 0 0 0 2 -2 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.800918178806 0.792052503424\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' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1001_4'], '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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_4'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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' : d['c_0101_9'], '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_4'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_11']})}"; 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);