// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_501\ngeometric_solution 13.97922850\noriented_manifold\nCS_known -0.0000000000000007\n\n1 0\n torus 0.000000000000 0.000000000000\n\n15\n 1 2 3 4 \n 0132 0132 0132 0132\n 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 0 -1 1 0 0 0 0 0 -1 0 1 0 -7 7 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.183195643317 1.544504082587\n\n 0 3 4 5 \n 0132 1023 0213 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 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 -0.077505395136 0.889383034132\n\n 3 0 6 6 \n 1023 0132 2103 0132\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 0 0 0 1 0 0 -1 -8 7 0 1 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.204431229633 0.616055706965\n\n 1 2 6 0 \n 1023 1023 0213 0132\n 0 0 0 0 \n 0 0 0 0 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 -1 0 1 0 0 0 0 -1 8 0 -7 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n -0.382061030807 1.041680579492\n\n 7 1 0 8 \n 0132 0213 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 1 -1 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 0.646341306705 0.640414951687\n\n 9 9 1 10 \n 0132 1302 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 1 -1 0 -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 0.347204554519 1.059197617574\n\n 2 3 2 8 \n 2103 0213 0132 0213\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 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 0.514780212420 1.462215043214\n\n 4 11 9 11 \n 0132 0132 3120 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 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 0.451950844552 0.488044643131\n\n 10 10 4 6 \n 1023 0321 0132 0213\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 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.627474980374 0.754305302528\n\n 5 12 7 5 \n 0132 0132 3120 2031\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 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 0.421691182751 0.684217849886\n\n 13 8 5 8 \n 0132 1023 0132 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 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 0.348214286165 0.783529918220\n\n 7 7 14 12 \n 3012 0132 0132 2103\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 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.017646987758 0.906227399562\n\n 14 9 13 11 \n 2031 0132 1230 2103\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 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.372103791755 1.304728054585\n\n 10 14 14 12 \n 0132 0132 1302 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 -1 0 1 -1 0 1 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 0.517160157956 0.685273405355\n\n 13 13 12 11 \n 2031 0132 1302 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 1 0 -1 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 0.298341818692 0.929746199320\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_12']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_7'], 'c_1001_13' : d['c_0101_11'], 'c_1001_12' : d['c_0011_12'], 's_0_10' : d['1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_1001_7']), 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : negation(d['c_0110_6']), 'c_1010_14' : d['c_0101_11'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0011_12']), 's_2_0' : negation(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_14' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_10'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : d['c_1001_8'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : negation(d['c_0110_6']), 'c_1100_14' : d['c_0101_12'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_1001_8'], 'c_1100_13' : negation(d['c_0011_12']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0101_7'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0110_6']), 'c_1100_8' : d['c_1010_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_11'], 'c_0101_13' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0110_14' : d['c_0101_11'], 'c_1010_4' : d['c_1001_8'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0011_11'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_7'], '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_0101_0'], 'c_0110_8' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0110_6'], '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);