// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\nL13n2610\ngeometric_solution 9.12441551\noriented_manifold\nCS_known -0.0000000000000000\n\n2 0\n torus 0.000000000000 0.000000000000\n torus 0.000000000000 0.000000000000\n\n10\n 0 1 0 2 \n 2031 0132 1302 0132\n 0 0 0 0 \n 0 -1 -1 2 1 0 -1 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 1 2 -3 -2 0 2 0 -2 0 0 2 -2 0 2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.680008000598 1.363588873338\n\n 2 0 4 3 \n 3201 0132 0132 0132\n 0 1 0 0 \n 0 1 0 -1 0 0 0 0 -2 0 0 2 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 3 0 0 -3 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.160048391412 0.760026875878\n\n 5 6 0 1 \n 0132 0132 0132 2310\n 0 0 1 0 \n 0 0 -2 2 0 0 0 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 0 3 -3 0 0 0 0 -9 8 0 1 0 2 -2 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.160048391412 0.760026875878\n\n 4 7 1 8 \n 0132 0132 0132 0132\n 0 1 1 0 \n 0 -1 1 0 0 0 0 0 1 0 0 -1 1 1 -2 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 -9 0 0 9 -2 -1 3 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.044839679337 1.073561366561\n\n 3 6 8 1 \n 0132 0321 0132 0132\n 0 1 0 1 \n 0 0 0 0 0 0 0 0 -1 1 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 0 0 1 -1 2 -2 0 0 9 0 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.043454614057 1.605806177023\n\n 2 8 6 7 \n 0132 2103 1023 1023\n 1 0 0 1 \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 0 -1 0 0 0 0 0 0 0 0 9 -9 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.409580574833 0.425350245735\n\n 9 2 5 4 \n 0132 0132 1023 0321\n 0 1 0 1 \n 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -2 0 2 8 -8 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.203225039716 0.786664791615\n\n 9 3 9 5 \n 2031 0132 3012 1023\n 0 1 0 1 \n 0 1 -1 0 0 0 0 0 1 -1 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 -1 1 -1 1 0 0 8 0 -8 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.372546010918 0.941421356305\n\n 9 5 3 4 \n 3012 2103 0132 0132\n 0 1 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 0 -1 -8 -1 0 9 0 9 -9 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.142968827404 0.732089423453\n\n 6 7 7 8 \n 0132 1230 1302 1230\n 1 1 1 0 \n 0 0 0 0 0 0 1 -1 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 0 -1 0 0 -8 8 -8 8 0 0 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.636563418107 0.918401888170\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0110_7'], 'c_1001_8' : negation(d['c_0011_2']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_4'], 'c_1100_8' : d['c_1100_1'], 'c_1100_5' : d['c_0110_7'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0110_7']), 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_7'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : negation(d['c_0110_7']), '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'], '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' : negation(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_2'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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_4'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_1'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_3']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 11); 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);