// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10_113\ngeometric_solution 16.47347366\noriented_manifold\nCS_known -0.0000000000000009\n\n1 0\n torus 0.000000000000 0.000000000000\n\n17\n 1 2 3 3 \n 0132 0132 0132 0321\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 1 0 -1 0 0 3 -3 1 0 0 -1 -4 0 4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.743902815511 1.003730630088\n\n 0 4 6 5 \n 0132 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 0 0 0 0 0 0 4 -4 0 0 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.502038059785 1.128310023461\n\n 7 0 8 8 \n 0132 0132 0213 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 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 0.547255099891 0.766251129280\n\n 9 0 10 0 \n 0132 0321 0132 0132\n 0 0 0 0 \n 0 0 0 0 -1 0 0 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 1 -1 0 3 0 0 -3 3 1 0 -4 -3 3 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.523403968914 0.643059852181\n\n 11 1 10 12 \n 0132 0132 1302 0132\n 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 0 4 -4 1 0 0 -1 0 -1 0 1 0 4 -4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.422391794805 0.878223732559\n\n 9 9 1 12 \n 2103 1302 0132 0213\n 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 -3 0 3 0 0 0 0 -1 0 0 1 -3 3 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.839337999548 0.951238702207\n\n 13 7 14 1 \n 0132 0321 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 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 0.143381652784 0.894070185292\n\n 2 11 15 6 \n 0132 0132 0132 0321\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 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 0.418549055039 0.511442129672\n\n 13 2 2 15 \n 1023 0213 0132 3012\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 1 0 -1 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 0.571561911823 0.967343774125\n\n 3 16 5 5 \n 0132 0132 2103 2031\n 0 0 0 0 \n 0 0 0 0 1 0 0 -1 -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 -1 1 0 -3 0 0 3 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 0.839337999548 0.951238702207\n\n 4 14 12 3 \n 2031 3012 3201 0132\n 0 0 0 0 \n 0 0 0 0 1 0 -1 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 -4 0 4 0 4 -4 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.242171568954 0.532980007544\n\n 4 7 14 13 \n 0132 0132 0213 0213\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 -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 0.347143446263 1.010816941000\n\n 10 14 4 5 \n 2310 0213 0132 0213\n 0 0 0 0 \n 0 0 -1 1 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 4 -3 0 0 1 -1 -4 4 0 0 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.155813904914 0.937850931901\n\n 6 8 16 11 \n 0132 1023 1302 0213\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 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 0.226935437119 0.711246539669\n\n 10 11 12 6 \n 1230 0213 0213 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 4 0 -4 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 0.282286368800 0.607815040903\n\n 16 16 8 7 \n 3120 1230 1230 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 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 0.726580151679 0.807604411598\n\n 13 9 15 15 \n 2031 0132 3012 3120\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 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 0.726580151679 0.807604411598\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_15'], 'c_1001_14' : d['c_1001_1'], 'c_1001_16' : negation(d['c_0011_15']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_14']), 'c_1001_13' : d['c_0101_7'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_16'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0011_15']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0110_8'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : d['c_0101_16'], 'c_1010_10' : negation(d['c_0011_12']), 'c_1010_16' : negation(d['c_0011_15']), 'c_1010_15' : d['c_0101_16'], 'c_1010_14' : d['c_0110_8'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : negation(d['1']), 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_14'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0011_12'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_15']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_12'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : d['c_1010_12'], 'c_1100_1' : d['c_1010_12'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : negation(d['c_0101_15']), 'c_1100_14' : d['c_1010_12'], 'c_1100_15' : d['c_0110_8'], 's_0_10' : d['1'], 'c_1100_16' : negation(d['c_0101_15']), 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : negation(d['c_0011_12']), 'c_1100_13' : d['c_0101_16'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_0'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_15']), 'c_1010_8' : negation(d['c_0101_15']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_16']), 'c_0011_8' : d['c_0011_13'], 'c_0011_5' : negation(d['c_0011_15']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : negation(d['c_0011_16']), 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_16'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_15' : d['c_0101_7'], 'c_0110_14' : d['c_0011_10'], 'c_0110_16' : d['c_0101_7'], 's_0_13' : negation(d['1']), 'c_0101_12' : d['c_0011_14'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_0']), 's_3_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_13'], 'c_0101_1' : negation(d['c_0011_16']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : negation(d['1']), 's_1_15' : d['1'], '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_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_16']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_14'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : negation(d['c_0011_16'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 18); 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);