// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_154\ngeometric_solution 12.30515844\noriented_manifold\nCS_known -0.0000000000000007\n\n1 0\n torus 0.000000000000 0.000000000000\n\n14\n 1 2 3 4 \n 0132 0132 0132 0132\n 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 12 -13 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 0.285684068583 0.575760674240\n\n 0 3 6 5 \n 0132 1023 0132 0132\n 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 0 -13 13 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 -0.047933951307 0.877235446131\n\n 7 0 3 4 \n 0132 0132 0321 2103\n 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 0 -12 0 12 -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 -0.256393537720 1.830843019694\n\n 1 7 2 0 \n 1023 0132 0321 0132\n 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 0 -13 0 13 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 0.747384511918 0.924017419361\n\n 8 7 0 2 \n 0132 3201 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 0 -1 1 1 0 0 -1 12 0 0 -12 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.848610590783 0.684006312091\n\n 9 9 1 10 \n 0132 1302 0132 0132\n 0 0 0 0 \n 0 1 -1 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 13 -13 0 0 0 0 0 0 -13 0 13 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.330230263234 0.614371327152\n\n 11 12 11 1 \n 0132 0132 1230 0132\n 0 0 0 0 \n 0 -1 0 1 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 -13 0 13 12 0 -12 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 0.596842117131 0.655254630858\n\n 2 3 4 12 \n 0132 0132 2310 1302\n 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 0 13 0 -13 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 0.470837686858 0.654221738899\n\n 4 13 12 11 \n 0132 0132 2031 0132\n 0 0 0 0 \n 0 -1 1 0 0 0 1 -1 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 -12 12 0 -1 0 13 -12 1 -1 0 0 -12 12 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.196472097394 0.622936542071\n\n 5 13 13 5 \n 0132 1230 0132 2031\n 0 0 0 0 \n 0 -1 0 1 0 0 1 -1 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 -13 0 13 0 0 13 -13 0 1 0 -1 0 12 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.810816419536 0.743751669271\n\n 13 12 5 11 \n 0132 2031 0132 2031\n 0 0 0 0 \n 0 -1 0 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 -12 0 12 0 0 0 0 0 0 0 0 0 13 -13 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 2.503630031995 1.622978253592\n\n 6 10 8 6 \n 0132 1302 0132 3012\n 0 0 0 0 \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 -12 0 12 0 0 -12 0 12 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.853058770997 1.925866978409\n\n 10 6 7 8 \n 1302 0132 2031 1302\n 0 0 0 0 \n 0 1 0 -1 -1 0 1 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 13 0 -13 -13 0 13 0 12 0 0 -12 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.489110380139 1.079447544016\n\n 10 8 9 9 \n 0132 0132 3012 0132\n 0 0 0 0 \n 0 1 -1 0 0 0 1 -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 12 -12 0 0 0 13 -13 0 -12 0 12 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.330230263234 0.614371327152\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_13' : d['c_0011_5'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : negation(d['c_0110_12']), 'c_1010_13' : negation(d['c_0110_12']), 'c_1010_12' : d['c_1001_6'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_12'], 'c_1100_8' : negation(d['c_1001_6']), 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0101_6'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_6']), 'c_1100_10' : d['c_0101_6'], 'c_1100_13' : d['c_0110_12'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0110_12']), 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : d['c_0011_5'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0011_5'], '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' : d['c_0101_8'], '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_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0011_5'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0110_12'], 'c_1010_4' : negation(d['c_1001_0']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), '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_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], '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_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], '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_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 15); 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);