// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10^3_47\ngeometric_solution 13.95586699\noriented_manifold\nCS_known 0.0000000000000002\n\n3 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n15\n 1 2 3 4 \n 0132 0132 0132 0132\n 2 2 1 1 \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 0 1 -1 0 0 0 0 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 0.619040866530 0.926812298229\n\n 0 5 6 6 \n 0132 0132 0213 0132\n 2 2 1 1 \n 0 0 0 0 -1 0 0 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 -1 1 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 0.399807926555 0.744735383193\n\n 7 0 8 8 \n 0132 0132 2103 0132\n 2 0 1 1 \n 0 0 0 0 0 0 0 0 1 0 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 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 0.498843212181 0.936959344260\n\n 9 10 11 0 \n 0132 0132 0132 0132\n 2 2 1 2 \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 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 0.409512457017 1.740572830248\n\n 7 7 0 8 \n 3012 0213 0132 0213\n 2 2 0 1 \n 0 0 0 0 -1 0 1 0 -1 1 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 0 0 0 0 2 -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 0.498843212181 0.936959344260\n\n 12 1 13 13 \n 0132 0132 0132 0321\n 2 2 1 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 -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 0.788201621745 0.653799682262\n\n 14 1 1 9 \n 0132 0213 0132 0213\n 2 2 2 1 \n 0 0 0 0 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 -1 0 1 1 0 0 -1 1 0 0 -1 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.656047056472 0.814041833624\n\n 2 14 4 4 \n 0132 3120 0213 1230\n 2 0 1 1 \n 0 -1 0 1 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 1 0 1 -2 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 0.498843212181 0.936959344260\n\n 2 11 2 4 \n 2103 0213 0132 0213\n 2 0 2 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 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 0.557267533231 0.831568540208\n\n 3 13 12 6 \n 0132 3012 1023 0213\n 2 2 2 1 \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 1 0 -1 0 0 -1 1 -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 0.463551348483 0.313699659920\n\n 12 3 11 13 \n 3012 0132 0213 0132\n 2 2 2 1 \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 -1 0 1 1 0 -1 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 0.669794643549 0.968467840317\n\n 14 10 8 3 \n 2310 0213 0213 0132\n 2 2 2 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 -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 -0.100495068564 0.433852849723\n\n 5 14 9 10 \n 0132 1302 1023 1230\n 2 2 1 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 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 1.153323391849 0.475945275728\n\n 9 5 10 5 \n 1230 0321 0132 0132\n 2 2 1 2 \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 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.248412576671 0.623428834714\n\n 6 7 11 12 \n 0132 3120 3201 2031\n 1 2 1 2 \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 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 0.240248781032 1.123473272424\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_0011_8']), 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_13'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : negation(d['c_0011_13']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_1001_1'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_13'], 'c_1010_10' : d['c_1001_13'], 'c_1010_14' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_11'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_2_14' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_13'], 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0101_13']), 'c_1100_1' : negation(d['c_0101_13']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : d['c_0110_4'], 'c_1100_14' : negation(d['c_0011_11']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1010_8'], 'c_1100_10' : d['c_1001_13'], 'c_1100_13' : d['c_1001_13'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_14']), 'c_1010_6' : negation(d['c_0101_13']), 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : negation(d['c_0101_13']), 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0110_4'], '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_0101_13'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_14']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_14']), 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : d['c_0011_10'], 'c_0110_14' : d['c_0101_0'], 'c_1010_4' : d['c_0110_4'], 'c_0101_12' : negation(d['c_0011_13']), 'c_0110_0' : negation(d['c_0011_14']), 's_0_8' : negation(d['1']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_14']), 'c_0101_3' : negation(d['c_0101_14']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_14']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_4'], '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' : negation(d['c_0101_14']), 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_13']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_13']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_14'], 'c_0101_13' : d['c_0101_13']})}"; 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);