// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10_117\ngeometric_solution 16.12544352\noriented_manifold\nCS_known 0.0000000000000000\n\n1 0\n torus 0.000000000000 0.000000000000\n\n17\n 1 1 2 3 \n 0132 1302 0132 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 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 0.119116541608 0.710763468366\n\n 0 4 5 0 \n 0132 0132 0132 2031\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 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 0.687577626482 0.554789687459\n\n 6 7 5 0 \n 0132 0132 1302 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 0 -1 0 0 0 0 7 -8 0 1 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.147488693244 0.897729251260\n\n 7 8 0 5 \n 3012 0132 0132 1302\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 -1 1 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 -0.290278930395 0.863561035019\n\n 9 1 9 10 \n 0132 0132 3012 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 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.199657105283 1.071779011292\n\n 2 11 3 1 \n 2031 0132 2031 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 1.002751647284 0.597314400015\n\n 2 12 7 13 \n 0132 0132 1023 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 0 0 0 0 0 -1 1 1 -1 0 0 -7 7 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.391769576741 0.510249496040\n\n 10 2 6 3 \n 0132 0132 1023 1230\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 1 0 0 0 0 0 0 -1 0 1 -8 8 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.061232282854 1.104747295095\n\n 9 3 14 14 \n 2031 0132 0132 0321\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 1 -1 0 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 0.569363445357 0.633590978130\n\n 4 4 8 15 \n 0132 1230 1302 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 -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 0.447304104960 0.599007193698\n\n 7 11 4 14 \n 0132 0213 0132 2310\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 0 0 8 -1 0 -7 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.685028421844 0.782812027115\n\n 16 5 10 15 \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 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 0.289722103570 0.632905061049\n\n 16 6 16 14 \n 3012 0132 1023 3012\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 -1 1 0 -7 0 7 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.713046030012 0.715308611530\n\n 16 15 6 15 \n 1302 0132 0132 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 1 0 -1 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 0.501356499027 0.924951127847\n\n 10 8 12 8 \n 3201 0321 1230 0132\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 -1 1 7 0 -7 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 0.215333758304 0.873181191445\n\n 13 13 9 11 \n 3012 0132 0132 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 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.451596236664 0.837681525214\n\n 11 13 12 12 \n 0132 2031 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 -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 0.483080179793 1.204205025217\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_15'], 'c_1001_14' : d['c_0110_12'], 'c_1001_16' : d['c_0011_13'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_13' : d['c_0101_16'], 'c_1001_12' : d['c_0101_16'], 's_0_10' : d['1'], 'c_1001_5' : d['c_0110_15'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_14']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_14']), 'c_1001_8' : d['c_1001_3'], 'c_1010_13' : d['c_0101_15'], 'c_1010_12' : negation(d['c_0101_14']), 'c_1010_11' : d['c_0110_15'], 'c_1010_10' : negation(d['c_0101_8']), 'c_1010_16' : d['c_0011_13'], 'c_1010_15' : d['c_0101_16'], 'c_1010_14' : d['c_1001_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_3'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_14'], '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_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : negation(d['c_0011_13']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_12'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0011_14'], 'c_1100_7' : negation(d['c_0110_15']), 'c_1100_6' : d['c_0110_15'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_1100_15' : d['c_0101_8'], 'c_1100_14' : d['c_0110_12'], 'c_1100_16' : d['c_0110_12'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0011_14'], 'c_1100_13' : d['c_0110_15'], 's_3_10' : d['1'], 'c_1100_9' : d['c_0101_8'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_16'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_15'], 's_0_15' : d['1'], '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' : negation(d['c_0110_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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_16'], 'c_0110_10' : negation(d['c_0101_14']), 'c_0110_13' : negation(d['c_0011_13']), 'c_0110_12' : d['c_0110_12'], 'c_0110_15' : d['c_0110_15'], 'c_0110_14' : d['c_0101_8'], 'c_0110_16' : d['c_0011_10'], 'c_1010_4' : d['c_1001_1'], 'c_0101_12' : d['c_0011_13'], 'c_0011_7' : negation(d['c_0011_10']), 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_3'], 'c_0101_7' : negation(d['c_0101_14']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_15'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], '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_15'], 'c_0110_8' : negation(d['c_0011_14']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0110_15']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0011_11']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 18); 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);