Magma V2.19-8 Wed Aug 21 2013 01:07:18 on localhost [Seed = 3313753281] Type ? for help. Type -D to quit. Loading file "L14n33056__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33056 geometric_solution 11.47739028 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 0 1 1 1302 2031 0132 3201 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 0 0 0 1 0 -1 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393242810355 0.114134024887 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.346685993704 1.831665380080 1 3 4 5 0132 3201 0132 0132 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 2 -2 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 0.270295951576 0.793527660420 6 7 2 1 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -3 2 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270295951576 0.793527660420 7 8 7 2 2031 0132 3201 0132 0 0 0 1 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 -2 2 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 0.581355794900 0.508861015673 6 9 2 10 2103 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 1.026064552344 0.852486180480 3 10 5 11 0132 2310 2103 0132 1 0 0 0 0 0 0 0 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 -2 -1 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026064552344 0.852486180480 4 3 4 12 2310 0132 1302 0132 0 1 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 -1 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581355794900 0.508861015673 12 4 11 9 3120 0132 3201 2310 0 1 1 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 5 0 -6 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 0.387544175270 0.548969023947 8 5 10 12 3201 0132 1302 3201 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 0 0 0 0 0 0 0 1 0 -1 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 0.486727231288 1.320382195934 9 11 5 6 2031 3120 0132 3201 0 0 1 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 0 3 0 0 -1 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 0.753224325898 1.107806684021 8 10 6 12 2310 3120 0132 2310 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 6 0 0 -6 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486727231288 1.320382195934 11 9 7 8 3201 2310 0132 3120 0 1 1 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 0 0 0 0 0 0 0 6 0 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387544175270 0.548969023947 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : negation(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' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_1001_12']), 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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_0101_12']), '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' : 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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_12']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_1, c_0101_11, c_0101_12, c_0110_0, c_0110_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 59969/19044*c_1001_12^7 + 29764/4761*c_1001_12^6 - 966661/19044*c_1001_12^5 - 905494/4761*c_1001_12^4 - 2299537/19044*c_1001_12^3 + 127837/19044*c_1001_12^2 + 78316/4761*c_1001_12 + 1773/2116, c_0011_0 - 1, c_0011_1 + 58670/4761*c_1001_12^7 + 40847/1587*c_1001_12^6 - 310495/1587*c_1001_12^5 - 3637451/4761*c_1001_12^4 - 2652341/4761*c_1001_12^3 - 25648/529*c_1001_12^2 + 266327/4761*c_1001_12 + 65020/4761, c_0011_10 - 17584/4761*c_1001_12^7 - 15920/1587*c_1001_12^6 + 29094/529*c_1001_12^5 + 1274725/4761*c_1001_12^4 + 1384216/4761*c_1001_12^3 + 85478/1587*c_1001_12^2 - 157441/4761*c_1001_12 - 47246/4761, c_0011_11 + 3800/4761*c_1001_12^7 + 638/1587*c_1001_12^6 - 23407/1587*c_1001_12^5 - 135752/4761*c_1001_12^4 + 156790/4761*c_1001_12^3 + 12609/529*c_1001_12^2 - 5506/4761*c_1001_12 - 4031/4761, c_0011_12 + 3800/4761*c_1001_12^7 + 638/1587*c_1001_12^6 - 23407/1587*c_1001_12^5 - 135752/4761*c_1001_12^4 + 156790/4761*c_1001_12^3 + 12609/529*c_1001_12^2 - 5506/4761*c_1001_12 - 4031/4761, c_0011_3 - c_1001_12 - 1, c_0011_4 - 1, c_0101_1 + 7930/529*c_1001_12^7 + 47963/1587*c_1001_12^6 - 380552/1587*c_1001_12^5 - 1446268/1587*c_1001_12^4 - 981016/1587*c_1001_12^3 - 57589/1587*c_1001_12^2 + 96535/1587*c_1001_12 + 21178/1587, c_0101_11 + c_1001_12, c_0101_12 + 1, c_0110_0 - 24134/4761*c_1001_12^7 - 5715/529*c_1001_12^6 + 127148/1587*c_1001_12^5 + 1513229/4761*c_1001_12^4 + 1147913/4761*c_1001_12^3 + 39884/1587*c_1001_12^2 - 115751/4761*c_1001_12 - 34096/4761, c_0110_10 + 19472/4761*c_1001_12^7 + 14464/1587*c_1001_12^6 - 33736/529*c_1001_12^5 - 1250858/4761*c_1001_12^4 - 1046282/4761*c_1001_12^3 - 63001/1587*c_1001_12^2 + 83267/4761*c_1001_12 + 26677/4761, c_1001_12^8 + 5/2*c_1001_12^7 - 15*c_1001_12^6 - 137/2*c_1001_12^5 - 71*c_1001_12^4 - 47/2*c_1001_12^3 + 5/2*c_1001_12^2 + 3*c_1001_12 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB