// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_128\ngeometric_solution 16.17551149\noriented_manifold\nCS_known -0.0000000000000004\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 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 12 -12 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.663179982834 0.982470096946\n\n 0 4 5 0 \n 0132 0132 0132 2031\n 0 0 0 0 \n 0 0 -1 1 0 0 0 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 -12 12 0 0 1 -1 0 1 0 -1 -12 0 12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.312247623212 0.910794896426\n\n 6 6 5 0 \n 0132 1230 3120 0132\n 0 0 0 0 \n 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 0 -12 12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.616907004637 0.900591855013\n\n 7 6 0 8 \n 0132 1302 0132 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 1 -1 0 0 0 0 13 0 0 -13 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.437059798404 1.161487503490\n\n 9 1 10 10 \n 0132 0132 0132 3120\n 0 0 0 0 \n 0 0 -1 1 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 -13 13 1 0 0 -1 13 0 0 -13 -12 -1 13 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.010308505025 1.454997876310\n\n 8 9 2 1 \n 3120 0321 3120 0132\n 0 0 0 0 \n 0 0 -1 1 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 -12 12 1 0 0 -1 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 0.788591347486 0.604126816703\n\n 2 11 2 3 \n 0132 0132 3012 2031\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 12 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 0.482304190170 0.755758365853\n\n 3 12 13 8 \n 0132 0132 0132 3120\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 0 0 0 0 -13 13 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.613085219247 0.772203271198\n\n 7 9 3 5 \n 3120 1230 0132 3120\n 0 0 0 0 \n 0 0 0 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 -1 1 0 1 0 0 -1 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 -0.125411364652 0.378343280243\n\n 4 10 8 5 \n 0132 3120 3012 0321\n 0 0 0 0 \n 0 -1 1 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 -13 13 0 -1 0 1 0 12 0 0 -12 -13 13 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.467422126086 0.693944331534\n\n 4 9 12 4 \n 3120 3120 3120 0132\n 0 0 0 0 \n 0 -1 0 1 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 -13 0 13 1 0 -1 0 13 0 0 -13 -13 13 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.004869105324 0.687251729425\n\n 14 6 15 14 \n 0132 0132 0132 2031\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 -12 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 0.586191976535 1.064681648088\n\n 15 7 10 15 \n 1302 0132 3120 2310\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 -1 0 1 0 12 -13 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.353002001922 0.819739102571\n\n 16 14 16 7 \n 0132 2310 3120 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 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 0.638020056561 0.497936663002\n\n 11 11 16 13 \n 0132 1302 2031 3201\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 0.603165003151 0.720758651393\n\n 12 12 16 11 \n 3201 2031 3012 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 -12 0 12 -1 0 0 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 0.556854496134 1.029069794702\n\n 13 15 13 14 \n 0132 1230 3120 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 0 0 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 0.638020056561 0.497936663002\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_0011_13'], 'c_1001_14' : negation(d['c_0101_13']), 'c_1001_16' : negation(d['c_1001_13']), 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_8'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0011_8']), 's_0_10' : d['1'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_2'], 'c_1010_13' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_0'], 'c_1010_16' : d['c_0011_13'], 'c_1010_15' : d['c_0011_12'], 'c_1010_14' : negation(d['c_1001_13']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 'c_0101_13' : d['c_0101_13'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_15']), 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0011_13'], 'c_0101_14' : negation(d['c_0101_13']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : d['c_0011_15'], 'c_0011_14' : negation(d['c_0011_11']), 'c_0011_16' : negation(d['c_0011_13']), 'c_1100_9' : negation(d['c_1001_2']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_15'], 'c_1100_7' : negation(d['c_0101_16']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_15' : d['c_1001_13'], 'c_1100_14' : negation(d['c_0011_13']), 'c_1100_16' : negation(d['c_0101_13']), 'c_1100_11' : d['c_1001_13'], 'c_1100_10' : d['c_0011_15'], 'c_1100_13' : negation(d['c_0101_16']), 's_3_10' : negation(d['1']), 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : negation(d['c_0011_10']), 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 's_2_8' : d['1'], 'c_1010_9' : negation(d['c_0011_10']), 's_3_14' : d['1'], 'c_1100_8' : negation(d['c_0101_5']), '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_15'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), '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_12']), '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' : d['c_0011_12'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0101_13']), 'c_0110_10' : negation(d['c_0011_5']), 'c_0110_13' : d['c_0101_16'], 'c_0110_12' : negation(d['c_0011_13']), 'c_0110_15' : d['c_0101_11'], 'c_0110_14' : d['c_0101_11'], 'c_0110_16' : d['c_0101_13'], 'c_1010_4' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0011_15']), 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_3_15' : d['1'], 'c_1010_8' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0101_16'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0101_16'], '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' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_16'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})}"; 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);