// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n10_122\ngeometric_solution 16.41082316\noriented_manifold\nCS_known 0.0000000000000008\n\n1 0\n torus 0.000000000000 0.000000000000\n\n17\n 1 2 3 4 \n 0132 0132 0132 0132\n 0 0 0 0 \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 4 0 -4 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 0.372743224290 1.102775353733\n\n 0 5 5 6 \n 0132 0132 1302 0132\n 0 0 0 0 \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 -4 0 -1 5 0 1 0 -1 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.540639392567 0.992482896941\n\n 4 0 8 7 \n 0213 0132 0132 0132\n 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 1 -1 0 0 0 -4 4 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 0.859743230311 0.385128898067\n\n 9 10 9 0 \n 0132 0132 3012 0132\n 0 0 0 0 \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 -4 0 0 4 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 0.258814231630 0.906175039500\n\n 2 11 0 12 \n 0213 0132 0132 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 -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 0.036009576618 0.706528934091\n\n 1 1 11 13 \n 2031 0132 3201 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 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 0.576737036840 0.777008219565\n\n 12 14 1 15 \n 1230 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 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 0 0 0 5 0 -5 0 0 5 0 -5 -1 0 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.400153708897 0.869330643015\n\n 15 11 2 8 \n 3201 0321 0132 0321\n 0 0 0 0 \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 0 0 0 4 0 -4 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 0.674845617313 0.494608600989\n\n 13 7 14 2 \n 3012 0321 1023 0132\n 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 0 -1 1 1 0 -5 4 -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 0.372743224290 1.102775353733\n\n 3 3 12 16 \n 0132 1230 1230 0132\n 0 0 0 0 \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 4 0 0 -4 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 0.540810365628 0.661195715499\n\n 14 3 11 14 \n 3012 0132 0321 2310\n 0 0 0 0 \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 5 0 0 -5 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 0.540639392567 0.992482896941\n\n 5 4 10 7 \n 2310 0132 0321 0321\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 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.409191357669 0.496162428908\n\n 15 6 4 9 \n 0132 3012 0132 3012\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 -1 0 0 0 0 0 5 -5 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.813788626977 1.098692395410\n\n 16 16 5 8 \n 0213 2103 0132 1230\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 0 -1 -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 0.540810365628 0.661195715499\n\n 10 6 8 10 \n 3201 0132 1023 1230\n 0 0 0 0 \n 0 0 1 -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 0 5 -5 -1 0 1 0 0 0 0 0 5 -5 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.540639392567 0.992482896941\n\n 12 16 6 7 \n 0132 2310 0132 2310\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 4 0 -4 -5 0 5 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.564673863787 0.587731874747\n\n 13 13 9 15 \n 0213 2103 0132 3201\n 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 0 0 0 0 0 4 -4 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 0.540810365628 0.661195715499\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_12'], 'c_1001_15' : d['c_0101_8'], 'c_1001_14' : d['c_0101_8'], 'c_1001_16' : d['c_0011_13'], 'c_1001_11' : d['c_0011_14'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_0011_16'], 'c_1001_12' : d['c_0011_14'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0011_16'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_14'], 'c_1010_13' : d['c_0101_8'], 'c_1010_12' : negation(d['c_0101_0']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_16' : negation(d['c_0101_8']), 'c_1010_15' : d['c_0011_8'], 'c_1010_14' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0011_13'], 'c_0101_15' : d['c_0011_12'], 'c_0101_14' : d['c_0101_14'], '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_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' : 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' : negation(d['c_0011_12']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : d['c_0011_12'], '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_0011_11']), 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_0101_14'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : d['c_0101_14'], 'c_1100_14' : negation(d['c_0101_14']), 'c_1100_15' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_16' : d['c_0011_12'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_0011_14'], 'c_1100_13' : negation(d['c_0011_11']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_16'], 'c_1010_4' : d['c_0011_14'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 's_0_14' : d['1'], 'c_1010_9' : d['c_0011_13'], 's_0_15' : d['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' : negation(d['c_1001_9']), '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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0101_13' : d['c_0011_16'], '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_0011_7']), 'c_0110_10' : negation(d['c_0101_14']), 'c_0110_13' : d['c_0011_8'], 'c_0110_12' : d['c_0011_12'], 'c_0110_15' : d['c_0101_12'], 'c_0110_14' : d['c_0011_10'], 'c_0110_16' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_7'], 'c_0110_0' : negation(d['c_0011_0']), 's_3_12' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_2'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_13'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], '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' : d['1'], 'c_0110_9' : d['c_0011_13'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0011_16'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_8']), 'c_1100_8' : d['c_0101_14']})}"; 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);