// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nK14n27137\ngeometric_solution 10.90185265\noriented_manifold\nCS_known 0.0000000000000001\n\n1 0\n torus 0.000000000000 0.000000000000\n\n13\n 1 2 2 3 \n 0132 0132 1023 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 -10 -1 11 -10 0 10 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 0.199446440237 0.369250498308\n\n 0 4 5 5 \n 0132 0132 0213 0132\n 0 0 0 0 \n 0 0 0 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 -1 1 0 10 0 -10 0 0 -11 0 11 0 10 -10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.120885115193 1.384766001567\n\n 6 0 0 6 \n 0132 0132 1023 1023\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 10 -10 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 1.536633352998 1.370794344934\n\n 7 4 0 8 \n 0132 1230 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 11 -11 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 0.888433071702 0.388525176910\n\n 9 1 3 7 \n 0132 0132 3012 2031\n 0 0 0 0 \n 0 0 0 0 0 0 1 -1 -1 1 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 -11 11 10 -10 0 0 -11 11 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.568361617405 0.762797744665\n\n 7 1 1 10 \n 3012 0213 0132 0132\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 -1 0 1 -11 0 0 11 0 10 0 -10 1 10 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.326757506495 0.514702564557\n\n 2 9 10 2 \n 0132 0132 0213 1023\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 -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 0.443790820311 1.247029651475\n\n 3 4 11 5 \n 0132 1302 0132 1230\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 -11 0 11 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 0.852224926367 0.485896932625\n\n 11 10 3 9 \n 0132 2031 0132 0132\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 0 0 0 0 0 10 0 -10 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.852224926367 0.485896932625\n\n 4 6 8 10 \n 0132 0132 0132 0213\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 11 0 0 -11 -10 0 10 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.443177010799 0.490615693648\n\n 8 6 5 9 \n 1302 0213 0132 0213\n 0 0 0 0 \n 0 0 0 0 0 0 1 -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 1 -1 0 0 0 -11 11 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 0.937436220273 0.716682074197\n\n 8 12 12 7 \n 0132 0132 1023 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 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 0.640155797941 0.210702538111\n\n 12 11 11 12 \n 3012 0132 1023 1230\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 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 1.323504380239 0.716996857345\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' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_4'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1010_10'], 's_3_11' : d['1'], 's_0_11' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1010_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_1010_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1010_10'], 'c_1100_3' : d['c_1010_10'], 'c_1100_2' : negation(d['c_1010_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1001_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_1010_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_0011_11']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0101_4']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0011_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2'], '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);