// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10^2_137\ngeometric_solution 17.86169811\noriented_manifold\nCS_known 0.0000000000000001\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n19\n 1 2 3 1 \n 0132 0132 0132 2103\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 0 1 -1 0 1 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 0.702504785729 0.854146625914\n\n 0 4 5 0 \n 0132 0132 0132 2103\n 0 0 0 0 \n 0 0 1 -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 0 1 -1 1 0 -1 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 0.702504785729 0.854146625914\n\n 6 0 8 7 \n 0132 0132 0132 0132\n 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 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 0.291126081164 1.298061050511\n\n 9 10 11 0 \n 0132 0132 0132 0132\n 0 0 0 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 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 0.917747837671 1.402202877248\n\n 12 1 13 7 \n 0132 0132 0132 1023\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 -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 0.291126081164 1.298061050511\n\n 14 15 16 1 \n 0132 0132 0132 0132\n 0 0 0 1 \n 0 1 0 -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 0 -1 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 0.917747837671 1.402202877248\n\n 2 12 17 14 \n 0132 0132 0132 2031\n 1 0 0 0 \n 0 -1 0 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 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 0.417747837671 0.536177473463\n\n 15 10 2 4 \n 2031 0213 0132 1023\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 0.087070091610 0.345260587760\n\n 16 13 13 2 \n 1302 2103 1023 0132\n 0 0 0 1 \n 0 0 0 0 -1 0 1 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 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 0.538000461072 1.139076474286\n\n 3 12 11 17 \n 0132 1302 3120 1302\n 0 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 0 0 0 0 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 0.313251931793 0.663229740211\n\n 17 3 7 11 \n 1302 0132 0213 3120\n 0 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 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 0.557782537673 0.712003161329\n\n 10 13 9 3 \n 3120 2031 3120 0132\n 0 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 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 0.500000000000 0.460434076637\n\n 4 6 18 9 \n 0132 0132 0132 2031\n 1 0 0 0 \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 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 0.417747837671 0.536177473463\n\n 11 8 8 4 \n 1302 2103 1023 0132\n 0 0 0 1 \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 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 0.538000461072 1.139076474286\n\n 5 6 16 18 \n 0132 1302 3120 1302\n 0 0 1 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 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 0.313251931793 0.663229740211\n\n 18 5 7 16 \n 1302 0132 1302 3120\n 0 0 1 0 \n 0 -1 0 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 0 1 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 0.557782537673 0.712003161329\n\n 15 8 14 5 \n 3120 2031 3120 0132\n 0 0 1 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 0 0 -1 0 0 1 1 -1 0 0 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.500000000000 0.460434076637\n\n 18 10 9 6 \n 0132 2031 2031 0132\n 1 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 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.148747607135 1.396714887348\n\n 17 15 14 12 \n 0132 2031 2031 0132\n 1 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 0 1 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 0.148747607135 1.396714887348\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1010_13' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1001_18' : negation(d['c_0101_5']), 'c_1001_15' : d['c_0110_7'], 'c_1001_14' : d['c_0101_2'], 'c_1001_17' : negation(d['c_0101_3']), 'c_1001_16' : negation(d['c_0101_2']), 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : negation(d['c_0011_16']), 'c_1001_12' : d['c_0011_14'], 'c_1001_5' : negation(d['c_0011_16']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0110_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : negation(d['c_0011_11']), 's_0_18' : d['1'], 's_3_18' : d['1'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 'c_1010_17' : d['c_0011_10'], 'c_1010_16' : negation(d['c_0011_16']), 'c_1010_15' : negation(d['c_0011_16']), 'c_1010_14' : d['c_1010_14'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1'], 's_3_17' : d['1'], 's_0_17' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_17']), 'c_0101_17' : negation(d['c_0101_11']), 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0011_17'], 'c_0101_14' : d['c_0101_1'], '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_16' : d['1'], 's_2_17' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : d['c_0011_14'], 'c_0011_14' : d['c_0011_14'], 'c_0011_17' : d['c_0011_17'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_13'], 'c_1100_7' : negation(d['c_1100_13']), 'c_1100_6' : negation(d['c_1010_14']), 'c_1100_1' : negation(d['c_0101_1']), 'c_0011_18' : negation(d['c_0011_17']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_1100_13']), 'c_1100_14' : negation(d['c_0101_16']), 'c_1100_15' : negation(d['c_0101_16']), 's_3_11' : d['1'], 'c_1100_17' : negation(d['c_1010_14']), 'c_1100_16' : negation(d['c_0101_1']), 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_0101_11']), 'c_1100_13' : d['c_1100_13'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_14'], 'c_1010_5' : d['c_0110_7'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 's_0_14' : d['1'], 'c_1010_9' : d['c_1010_14'], 's_3_14' : d['1'], 'c_1100_8' : negation(d['c_1100_13']), 's_0_16' : d['1'], 's_3_16' : d['1'], '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' : negation(d['c_1010_14']), '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_1100_18' : negation(d['c_1010_14']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_16']), 'c_0011_5' : negation(d['c_0011_14']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_17']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_18' : negation(d['c_0101_11']), 'c_0101_18' : negation(d['c_0101_16']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0101_4'], 'c_0110_12' : d['c_0101_4'], 'c_0110_15' : d['c_0101_5'], 'c_0110_14' : d['c_0101_5'], 'c_0110_17' : negation(d['c_0101_16']), 'c_0110_16' : d['c_0101_5'], 'c_1010_4' : d['c_0110_7'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 'c_1010_18' : d['c_0011_14'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_2'], 's_2_18' : d['1'], 'c_0101_7' : negation(d['c_0101_16']), 'c_0101_6' : negation(d['c_0101_16']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0101_8' : negation(d['c_0011_16']), 's_1_18' : d['1'], 's_1_17' : d['1'], 's_1_16' : 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_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_16']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2'], 'c_0011_12' : negation(d['c_0011_0']), 'c_0101_13' : negation(d['c_0011_11'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 20); 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);