// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n6862\ngeometric_solution 9.27286619\noriented_manifold\nCS_known -0.0000000000000004\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 2 1 1 \n 0132 0132 3120 2103\n 0 1 0 0 \n 0 -1 2 -1 1 0 -1 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 1 -1 0 -1 0 2 -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 0.409593544442 0.994478662359\n\n 0 3 0 0 \n 0132 0132 3120 2103\n 0 1 0 0 \n 0 0 0 0 -1 0 1 0 -1 0 0 1 2 0 -2 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 -2 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 0.409593544442 0.994478662359\n\n 4 0 6 5 \n 0132 0132 0132 0132\n 0 0 0 0 \n 0 1 -2 1 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 -1 1 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 0.215738309862 0.590976277562\n\n 7 1 5 8 \n 0132 0132 2031 0132\n 0 0 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 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 0.535416187967 1.134905372169\n\n 2 7 9 9 \n 0132 0132 0132 0321\n 2 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 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 1.090663837764 0.997309888408\n\n 9 8 2 3 \n 0132 2031 0132 1302\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 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 1.177710287660 1.546289297913\n\n 7 9 7 2 \n 2310 1230 1230 0132\n 0 0 0 2 \n 0 0 -2 2 0 0 0 0 2 0 0 -2 -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 -1 0 0 1 13 -1 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.090663837764 0.997309888408\n\n 3 4 6 6 \n 0132 0132 3201 3012\n 2 0 0 0 \n 0 0 1 -1 0 0 -2 2 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 -13 12 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 0.499218524602 0.547515420301\n\n 5 8 3 8 \n 1302 2310 0132 3201\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 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 -0.180943992996 1.098912241634\n\n 5 4 6 4 \n 0132 0321 3012 0132\n 2 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 0.500651721013 0.456607214019\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_0110_8']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : negation(d['c_0110_8']), 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0110_8'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], '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' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0011_8']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : negation(d['c_0110_8']), 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_0110_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(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_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_5']), 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_5']})}"; 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);