// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10^2_86\ngeometric_solution 13.66015134\noriented_manifold\nCS_known -0.0000000000000001\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n15\n 1 2 3 1 \n 0132 0132 0132 2031\n 1 0 0 1 \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 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 0.500087576468 1.059140575165\n\n 0 0 5 4 \n 0132 1302 0132 0132\n 0 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 0 0 0 0 0 0 0 0\n 0 -1 0 1 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 0.635469169903 0.772043560414\n\n 6 0 6 4 \n 0132 0132 3012 2031\n 1 0 1 0 \n 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 3 1 -4 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.575307853254 0.742689759806\n\n 7 8 6 0 \n 0132 0132 3120 0132\n 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 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 0.842329459538 0.595416442475\n\n 7 2 1 9 \n 2103 1302 0132 0132\n 0 0 1 1 \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 -3 1 0 2 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.655619140242 0.840332824146\n\n 10 11 12 1 \n 0132 0132 0132 0132\n 0 0 0 1 \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 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.181744889471 0.598886873043\n\n 2 2 3 13 \n 0132 1230 3120 0132\n 0 0 0 1 \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 -3 4 0 -1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.580218972740 1.014670727493\n\n 3 8 4 12 \n 0132 0213 2103 2031\n 1 0 0 1 \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 3 -3 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 1.027111311094 0.478567809842\n\n 14 3 7 9 \n 0132 0132 0213 3201\n 1 0 0 1 \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 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 0.348142725251 0.841510714782\n\n 11 8 4 13 \n 3012 2310 0132 1230\n 0 0 0 1 \n 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 2 0 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.088343773584 0.583387907351\n\n 5 14 11 14 \n 0132 3120 1023 1023\n 0 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 0 0 0 0 0 0 0 0\n 0 -1 0 1 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 0.220680405968 0.514509551575\n\n 12 5 10 9 \n 0321 0132 1023 1230\n 0 0 1 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 3 -1 0 -2 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.244745341233 0.844297271082\n\n 11 7 13 5 \n 0321 1302 1230 0132\n 0 0 1 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 0 1 -3 3 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.313206240345 1.493830785466\n\n 9 14 6 12 \n 3012 3201 0132 3012\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 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.684411170526 0.932164498677\n\n 8 10 13 10 \n 0132 3120 2310 1023\n 0 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 0 0 0 0 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 0.220680405968 0.514509551575\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_11']), 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_11'], 'c_1001_13' : d['c_0101_13'], 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : d['c_0011_4'], 'c_1010_13' : d['c_0101_11'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_14']), 'c_1010_14' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : d['c_0101_13'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 'c_0101_14' : negation(d['c_0101_13']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_13'], 'c_1100_4' : d['c_0110_13'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0110_13'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_1001_3'], 'c_1100_14' : d['c_0011_13'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_13'], 'c_1100_11' : d['c_0011_13'], 'c_1100_10' : negation(d['c_0011_13']), 'c_1100_13' : negation(d['c_0101_3']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_13'], 'c_1010_5' : d['c_0101_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_13'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0011_12'], '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_0110_13'], 's_1_7' : d['1'], 's_1_6' : negation(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_12']), 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_14']), '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_14'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_14' : negation(d['c_0011_14']), 'c_1010_4' : negation(d['c_1001_3']), 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_14']), 's_2_8' : 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_0011_13'], 'c_0110_8' : negation(d['c_0101_13']), '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_13'], 's_2_9' : d['1']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 16); 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);