// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL14n482\ngeometric_solution 11.56759239\noriented_manifold\nCS_known -0.0000000000000005\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n13\n 1 2 1 2 \n 0132 0132 0213 0213\n 1 1 1 1 \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 -1 1 -11 0 11 0 0 0 0 0 -10 10 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.696191519769 0.740425938285\n\n 0 0 4 3 \n 0132 0213 0132 0132\n 1 1 1 1 \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 1 -1 0 11 0 -11 0 10 -11 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.474307843567 1.155957956939\n\n 3 0 5 0 \n 0213 0132 0132 0213\n 1 1 1 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 1 -1 0 0 0 0 10 -10 0 0 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.696191519769 0.740425938285\n\n 2 6 1 7 \n 0213 0132 0132 0132\n 1 1 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 0 0 0 -10 0 0 10 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 0.838002878674 1.630888080914\n\n 7 6 8 1 \n 0132 0321 0132 0132\n 1 1 1 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 0 -1 1 0 0 -11 11 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 0.023630255498 0.457901519257\n\n 9 10 11 2 \n 0132 0132 0132 0132\n 1 1 1 1 \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 11 -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 0.558305872592 0.566185891482\n\n 9 3 9 4 \n 2103 0132 2310 0321\n 1 1 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 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 0.346132203640 0.111731144731\n\n 4 9 3 12 \n 0132 2310 0132 0132\n 1 1 1 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 0 0 0 0 0 -10 10 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 0.528622723309 0.911986575571\n\n 11 10 12 4 \n 1023 2031 0132 0132\n 1 1 1 0 \n 0 0 0 0 -1 0 0 1 0 0 0 0 -2 -1 3 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 0 0 0 -1 -1 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.910012369100 0.873835254643\n\n 5 6 6 7 \n 0132 3201 2103 3201\n 1 1 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 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 0.556230600355 0.988736227079\n\n 8 5 11 12 \n 1302 0132 0321 1230\n 1 0 1 1 \n 0 1 0 -1 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 10 0 -10 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 0.116611745184 1.132371782963\n\n 12 8 10 5 \n 1302 1023 0321 0132\n 1 1 1 0 \n 0 1 0 -1 0 0 0 0 0 0 0 0 -2 2 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 11 0 -11 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 0.558492269856 0.447739241264\n\n 10 11 7 8 \n 3012 2031 0132 0132\n 1 1 0 1 \n 0 0 0 0 1 0 -1 0 1 2 0 -3 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 10 0 -10 0 1 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 0.558492269856 0.447739241264\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_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], '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_0011_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_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' : 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_1100_9' : d['c_0011_4'], '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' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : negation(d['c_1001_6']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_1100_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' : d['c_1100_1'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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_5'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_4']), '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);