Magma V2.19-8 Tue Aug 20 2013 23:53:27 on localhost [Seed = 3052658241] Type ? for help. Type -D to quit. Loading file "L13n5942__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5942 geometric_solution 11.05025416 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -3 0 4 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695979793791 0.913386445286 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 1 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 3 0 0 -3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573201444384 0.954566194382 8 0 10 9 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430068216625 0.817318294562 11 8 10 0 0132 1302 1302 0132 1 1 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411355802731 0.331752330451 5 8 0 9 0132 0132 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684870830380 1.159651414639 4 1 8 7 0132 0132 3120 3120 1 1 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198819398965 0.594139532189 11 9 1 7 2103 3012 0132 3012 1 1 1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360251178256 1.364479023341 5 11 6 1 3120 0321 1230 0132 1 1 0 1 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529266609731 0.485082906845 2 4 5 3 0132 0132 3120 2031 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574046877262 0.823219599974 6 4 2 10 1230 1302 0132 1302 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563967718413 0.567798399839 3 11 9 2 2031 3120 2031 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551108595325 0.226242027785 3 10 6 7 0132 3120 2103 0321 1 1 0 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 0 4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546148771343 0.692146728603 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0110_6']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_10'], '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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : d['c_0110_6'], 'c_1100_1' : d['c_0110_6'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_5']), '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' : negation(d['1']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : 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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 39271/206752*c_0110_6^8 - 4997/3976*c_0110_6^7 + 292291/103376*c_0110_6^6 - 101083/51688*c_0110_6^5 + 1941/51688*c_0110_6^4 - 29443/25844*c_0110_6^3 + 58833/103376*c_0110_6^2 + 7765/6461*c_0110_6 - 8797/206752, c_0011_0 - 1, c_0011_10 + 599/1136*c_0110_6^8 + 1085/284*c_0110_6^7 - 3701/568*c_0110_6^6 - 524/71*c_0110_6^5 - 235/284*c_0110_6^4 + 1033/142*c_0110_6^3 - 3467/568*c_0110_6^2 - 2013/284*c_0110_6 - 4083/1136, c_0011_11 - 793/1136*c_0110_6^8 - 707/142*c_0110_6^7 + 5159/568*c_0110_6^6 + 567/71*c_0110_6^5 + 231/142*c_0110_6^4 - 2277/284*c_0110_6^3 + 5073/568*c_0110_6^2 + 1945/284*c_0110_6 + 5513/1136, c_0011_6 + 39/568*c_0110_6^8 + 103/284*c_0110_6^7 - 245/142*c_0110_6^6 + 381/284*c_0110_6^5 - 21/284*c_0110_6^4 + 281/284*c_0110_6^3 - 97/71*c_0110_6^2 + 315/284*c_0110_6 - 753/568, c_0011_9 + 5/284*c_0110_6^8 + 51/568*c_0110_6^7 - 315/568*c_0110_6^6 - 105/568*c_0110_6^5 + 945/568*c_0110_6^4 + 277/568*c_0110_6^3 - 645/568*c_0110_6^2 - 259/568*c_0110_6 + 577/568, c_0101_0 - 1, c_0101_1 - 361/568*c_0110_6^8 - 2615/568*c_0110_6^7 + 4449/568*c_0110_6^6 + 4891/568*c_0110_6^5 + 569/568*c_0110_6^4 - 3773/568*c_0110_6^3 + 3795/568*c_0110_6^2 + 4813/568*c_0110_6 + 278/71, c_0101_10 - 5/284*c_0110_6^8 - 51/568*c_0110_6^7 + 315/568*c_0110_6^6 + 105/568*c_0110_6^5 - 945/568*c_0110_6^4 - 277/568*c_0110_6^3 + 645/568*c_0110_6^2 + 259/568*c_0110_6 - 577/568, c_0101_2 + 1, c_0101_5 + 31/1136*c_0110_6^8 + 91/284*c_0110_6^7 + 275/568*c_0110_6^6 - 169/71*c_0110_6^5 - 235/284*c_0110_6^4 + 181/142*c_0110_6^3 + 225/568*c_0110_6^2 - 735/284*c_0110_6 - 675/1136, c_0101_7 + 6/71*c_0110_6^8 + 259/568*c_0110_6^7 - 1157/568*c_0110_6^6 + 987/568*c_0110_6^5 + 63/568*c_0110_6^4 - 275/568*c_0110_6^3 - 1179/568*c_0110_6^2 + 1185/568*c_0110_6 + 29/568, c_0110_6^9 + 7*c_0110_6^8 - 14*c_0110_6^7 - 10*c_0110_6^6 + 12*c_0110_6^4 - 14*c_0110_6^3 - 10*c_0110_6^2 - 5*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB