// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n9372\ndegenerate_solution 0.00000000\noriented_manifold\nCS_unknown\n\n3 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n10\n 1 1 2 1 \n 0132 1230 0132 2031\n 0 0 1 0 \n 0 1 8 -9 0 0 0 0 -9 8 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 -9 10 0 0 0 0 8 -7 0 -1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.000000000000 0.000000000000\n\n 0 0 0 3 \n 0132 1302 3012 0132\n 0 0 0 1 \n 0 0 0 0 0 0 -1 1 0 9 0 -9 9 -1 -8 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 0 -10 0 10 -8 1 7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000000 0.000000000000\n\n 2 2 3 0 \n 1023 1023 3012 0132\n 0 0 0 0 \n 0 8 0 -8 -8 0 8 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 -9 0 9 9 0 -9 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 1.000000000000 -0.000000000000\n\n 4 2 1 4 \n 0132 1230 0132 3201\n 0 0 0 0 \n 0 -8 0 8 1 0 -1 0 0 0 0 0 -9 0 9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 9 0 -9 -1 0 1 0 0 0 0 0 10 0 -10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n-229181493814131.000000000000 41871113184381.617187500000\n\n 3 3 5 5 \n 0132 2310 3201 0132\n 0 0 0 0 \n 0 0 9 -9 -1 0 0 1 9 0 0 -9 0 -8 8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 -10 10 1 0 0 -1 -10 0 0 10 0 9 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 4.000000000000 0.000000000000\n\n 4 6 4 7 \n 2310 0132 0132 0132\n 0 0 0 0 \n 0 -9 9 0 -8 0 -1 9 0 0 0 0 -9 0 9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 10 -10 0 9 0 1 -10 0 0 0 0 10 0 -10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -1.250000000000 0.000000000000\n\n 7 5 8 7 \n 3201 0132 0132 1230\n 0 2 0 0 \n 0 9 0 -9 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 -10 0 10 -1 0 6 -5 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 0.400000000000 0.000000000000\n\n 6 9 5 6 \n 3012 0132 0132 2310\n 0 0 2 0 \n 0 0 0 0 9 0 -9 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 -10 0 10 0 5 -6 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.400000000000 0.000000000000\n\n 9 9 9 6 \n 2310 0321 1302 0132\n 0 2 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 0 0 6 -6 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 0.000000000000 0.000000000000\n\n 8 7 8 8 \n 2031 0132 3201 0321\n 0 0 0 2 \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 -6 6 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000000 0.000000000000\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_8']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_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_0011_8']), 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_3']), 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_1001_6'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_1001_6'], 's_3_1' : negation(d['1']), 's_3_0' : 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'], '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' : negation(d['c_0011_7']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0011_7'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0011_7']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 11); 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);