// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nK13a646\ngeometric_solution 10.91800656\noriented_manifold\nCS_known 0.0000000000000007\n\n1 0\n torus 0.000000000000 0.000000000000\n\n13\n 1 2 3 4 \n 0132 0132 0132 0132\n 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 -18 18 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.532430114473 0.705050921844\n\n 0 5 3 6 \n 0132 0132 2103 0132\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 0 0 0 0 -1 1 18 0 0 -18 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.251717974607 0.544110451905\n\n 7 0 8 6 \n 0132 0132 0132 2310\n 0 0 0 0 \n 0 0 0 0 -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 -18 0 0 18 0 -18 0 18 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.377626979109 1.157490668506\n\n 1 9 8 0 \n 2103 0132 0321 0132\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 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 0.172082225958 0.794960512906\n\n 8 10 0 11 \n 0321 0132 0132 0132\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 1 -1 0 0 0 0 0 18 -19 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.294718070450 1.189079546084\n\n 9 1 12 12 \n 0213 0132 0132 2310\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 19 0 0 -19 -19 0 19 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.897376368105 1.007149823888\n\n 2 9 1 7 \n 3201 1302 0132 1302\n 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 0 0 0 -18 0 -1 19 1 0 0 -1 -18 0 18 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.105245721308 0.548500991443\n\n 2 9 6 10 \n 0132 0213 2031 1230\n 0 0 0 0 \n 0 0 0 0 1 0 0 -1 0 -1 0 1 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 18 0 0 -18 0 -19 0 19 0 19 -19 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.375706377397 0.478322132825\n\n 4 11 3 2 \n 0321 0321 0321 0132\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 0 0 0 0 -18 18 0 0 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.974615549755 0.791198097560\n\n 5 3 7 6 \n 0213 0132 0213 2031\n 0 0 0 0 \n 0 0 0 0 -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 0 0 0 -19 0 19 0 0 0 0 0 19 0 -19 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.695253658758 1.165408040209\n\n 7 4 11 11 \n 3012 0132 1302 0321\n 0 0 0 0 \n 0 0 0 0 0 0 0 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 -1 1 0 1 0 0 -1 18 0 0 -18 -19 19 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.539131674131 1.718773145775\n\n 10 10 4 8 \n 2031 0321 0132 0321\n 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 0 0 0 -1 0 0 1 0 18 0 -18 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.539131674131 1.718773145775\n\n 5 12 12 5 \n 3201 3201 2310 0132\n 0 0 0 0 \n 0 1 -1 0 1 0 -1 0 0 1 0 -1 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 19 -19 0 19 0 -19 0 0 19 0 -19 0 19 -19 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.785648281501 0.352250494690\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_6']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : negation(d['c_0011_11']), '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_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' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_1001_2'], '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' : d['c_0011_12'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 14); 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);