Magma V2.19-8 Tue Aug 20 2013 23:58:33 on localhost [Seed = 1326000071] Type ? for help. Type -D to quit. Loading file "L14n40327__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40327 geometric_solution 11.51710111 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 2 1 2 0 -1 1 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 1 -1 0 0 1 -1 1 -1 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669109703408 0.993534680306 0 5 7 6 0132 0132 0132 0132 2 2 2 1 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 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 0.679792880691 0.719744744172 8 0 7 6 0132 0132 3012 2310 0 2 2 1 0 1 -1 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 -1 1 0 0 0 0 -13 13 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472252281601 0.976250551130 8 9 7 0 2310 0132 3120 0132 0 2 2 2 0 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 1 -1 1 0 0 -1 1 12 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387532372390 0.665147302363 8 5 0 10 3012 1302 0132 0132 0 2 2 1 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 1 -1 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.836426442957 0.952940999249 11 1 9 4 0132 0132 1023 2031 2 0 1 2 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 0 0 0 0 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185044534749 0.822693511258 2 10 1 11 3201 1302 0132 0213 2 2 0 2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306440559065 0.734320373988 11 2 3 1 2031 1230 3120 0132 2 2 1 0 0 0 0 0 0 0 0 0 0 1 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598454758341 0.830083365917 2 11 3 4 0132 0132 3201 1230 2 2 1 2 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 -1 1 0 0 0 0 13 -12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387532372390 0.665147302363 10 3 5 10 0132 0132 1023 0321 0 2 2 2 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 1 0 0 -1 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.039815991055 1.454991387524 9 9 4 6 0132 0321 0132 2031 0 2 2 2 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 -1 0 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 0.583909414422 0.318333181178 5 8 7 6 0132 0132 1302 0213 2 0 2 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 0 0 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669109703408 0.993534680306 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_10']), '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_10']), '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' : negation(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' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_9'], 'c_0011_11' : negation(d['c_0011_0']), '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' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5'])})} 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_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0101_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 540719/25720*c_1001_10^5 + 1744249/20576*c_1001_10^4 + 17785577/102880*c_1001_10^3 + 36880481/205760*c_1001_10^2 + 14323297/205760*c_1001_10 - 829651/205760, c_0011_0 - 1, c_0011_10 + 936/643*c_1001_10^5 + 2486/643*c_1001_10^4 + 4184/643*c_1001_10^3 + 1969/643*c_1001_10^2 - 86/643*c_1001_10 + 379/643, c_0011_4 - 192/643*c_1001_10^5 - 444/643*c_1001_10^4 - 545/643*c_1001_10^3 + 371/643*c_1001_10^2 + 1041/1286*c_1001_10 - 139/1286, c_0011_6 + 296/643*c_1001_10^5 + 1006/643*c_1001_10^4 + 1510/643*c_1001_10^3 + 848/643*c_1001_10^2 - 280/643*c_1001_10 - 67/643, c_0011_7 + 104/643*c_1001_10^5 + 562/643*c_1001_10^4 + 965/643*c_1001_10^3 + 1219/643*c_1001_10^2 + 481/1286*c_1001_10 - 273/1286, c_0101_0 - 1, c_0101_1 + 744/643*c_1001_10^5 + 2042/643*c_1001_10^4 + 3639/643*c_1001_10^3 + 2340/643*c_1001_10^2 + 869/1286*c_1001_10 + 619/1286, c_0101_3 - 1, c_0101_5 - 1, c_0101_7 + 848/643*c_1001_10^5 + 2604/643*c_1001_10^4 + 4604/643*c_1001_10^3 + 3559/643*c_1001_10^2 + 675/643*c_1001_10 + 173/643, c_0101_9 - 1144/643*c_1001_10^5 - 3610/643*c_1001_10^4 - 6114/643*c_1001_10^3 - 4407/643*c_1001_10^2 - 395/643*c_1001_10 - 106/643, c_1001_10^6 + 15/4*c_1001_10^5 + 7*c_1001_10^4 + 49/8*c_1001_10^3 + c_1001_10^2 - 1/2*c_1001_10 + 5/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB