// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n62853\ndegenerate_solution 0.00000038\noriented_manifold\nCS_unknown\n\n4 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n11\n 1 2 3 2 \n 0132 0132 0132 0213\n 0 0 2 0 \n 0 0 2 -2 0 0 0 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 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 0.000000000338 0.000000011538\n\n 0 1 1 4 \n 0132 0213 0213 0132\n 0 0 0 2 \n 0 0 0 0 0 0 -9 9 0 9 0 -9 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 -4 4 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-8244637.987840029411 -47922663.458143576980\n\n 5 0 6 0 \n 0132 0132 0132 0213\n 0 2 0 2 \n 0 0 -2 2 0 0 1 -1 2 -2 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 -1 1 0 0 0 0 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 -0.000000000126 0.000000005316\n\n 4 4 4 0 \n 0132 1302 3012 0132\n 0 0 0 3 \n 0 -9 11 -2 0 0 0 0 -2 0 0 2 -1 -3 4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -4 5 -1 0 0 0 0 -1 0 0 1 -2 -7 9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n-2539227.404912457336 86596362.311856597662\n\n 3 3 1 3 \n 0132 1230 0132 2031\n 0 0 3 0 \n 0 0 0 0 0 0 -9 9 1 -4 0 3 2 -11 9 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 -4 4 2 -9 0 7 1 -5 4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.000000000338 0.000000011538\n\n 2 6 6 7 \n 0132 1230 2310 0132\n 2 2 2 0 \n 0 0 1 -1 0 0 0 0 0 0 0 0 -2 0 2 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 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 0.500000000059 0.000000000990\n\n 7 5 5 2 \n 0132 3201 3012 0132\n 0 2 2 2 \n 0 -2 0 2 1 0 0 -1 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 -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 0.500000000052 -0.000000000631\n\n 6 8 5 9 \n 0132 0132 0132 0132\n 2 2 2 2 \n 0 -1 1 0 -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 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 0.000000000004 0.000000008995\n\n 8 7 10 8 \n 3120 0132 0132 3120\n 2 2 2 2 \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 -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-8440568.516021106392 -48399282.133475370705\n\n 10 10 7 10 \n 2031 0132 0132 1230\n 2 2 1 2 \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 -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-107797.323891167383 222356687.662793278694\n\n 9 9 9 8 \n 3012 0132 1302 0132\n 2 2 2 1 \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 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 0.000000000002 0.000000004497\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' : d['c_0101_2'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : d['c_1001_8'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : d['c_1001_8'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_6']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0011_6'])})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 12); 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);