Magma V2.19-8 Tue Aug 20 2013 23:48:46 on localhost [Seed = 2681861435] Type ? for help. Type -D to quit. Loading file "L12n1001__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1001 geometric_solution 11.45024681 oriented_manifold CS_known 0.0000000000000003 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 1 0 -1 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 2 -1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875800416150 0.807139461703 0 5 7 6 0132 0132 0132 0132 1 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 1 0 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 0.658669984667 0.547684768384 4 0 9 8 0213 0132 0132 0132 1 1 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 1 0 -1 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 0.908655139524 0.616003326989 8 10 9 0 3120 0132 0321 0132 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 2 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498196451622 0.872704841874 2 11 0 7 0213 0132 0132 0132 1 1 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 -1 1 -1 0 1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389944816054 0.656904063327 7 1 8 6 0321 0132 2103 3120 1 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 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 0.723892717776 0.547459254893 5 11 1 9 3120 0321 0132 0321 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 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 0.564555360233 0.468819132074 5 10 4 1 0321 3012 0132 0132 1 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 1 -1 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 0.800815019837 1.137155433953 5 11 2 3 2103 3201 0132 3120 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 0 1 -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 0.817694099485 0.922622404100 10 6 3 2 3012 0321 0321 0132 1 1 0 1 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 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304759370291 0.773502772302 7 3 11 9 1230 0132 3201 1230 1 0 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 -1 0 2 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189335527789 0.708407907770 10 4 8 6 2310 0132 2310 0321 1 1 0 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 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144563305959 0.876832991856 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_3']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : negation(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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_10'], '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' : 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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0011_7'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_0'], '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_5'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_3'])})} 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_7, c_0011_8, c_0101_0, c_0101_11, c_0101_3, c_0101_5, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 8972374003/22034069000*c_1001_9^5 + 171570144151/22034069000*c_1001_9^4 + 151587438697/22034069000*c_1001_9^3 - 266781541093/4406813800*c_1001_9^2 - 55417167859/440681380*c_1001_9 - 669654861647/11017034500, c_0011_0 - 1, c_0011_10 - 495/74408*c_1001_9^5 + 1193/9301*c_1001_9^4 + 3915/74408*c_1001_9^3 - 29469/74408*c_1001_9^2 + 8749/18602*c_1001_9 + 8029/74408, c_0011_11 + 2719/37204*c_1001_9^5 - 24089/18602*c_1001_9^4 - 99295/37204*c_1001_9^3 + 30417/37204*c_1001_9^2 + 25399/18602*c_1001_9 - 97917/37204, c_0011_6 - 437/18602*c_1001_9^5 + 3574/9301*c_1001_9^4 + 13143/9301*c_1001_9^3 + 21109/18602*c_1001_9^2 - 5146/9301*c_1001_9 - 336/9301, c_0011_7 + 753/18602*c_1001_9^5 - 26613/37204*c_1001_9^4 - 56725/37204*c_1001_9^3 + 11345/18602*c_1001_9^2 + 44429/37204*c_1001_9 - 45679/37204, c_0011_8 + 437/18602*c_1001_9^5 - 3574/9301*c_1001_9^4 - 13143/9301*c_1001_9^3 - 21109/18602*c_1001_9^2 - 4155/9301*c_1001_9 + 336/9301, c_0101_0 - 1, c_0101_11 - 403/74408*c_1001_9^5 + 2551/37204*c_1001_9^4 + 52229/74408*c_1001_9^3 + 40495/74408*c_1001_9^2 - 34777/37204*c_1001_9 + 36563/74408, c_0101_3 + 421/9301*c_1001_9^5 - 30759/37204*c_1001_9^4 - 42913/37204*c_1001_9^3 + 1501/9301*c_1001_9^2 + 31807/37204*c_1001_9 - 51535/37204, c_0101_5 + 135/9301*c_1001_9^5 - 7875/37204*c_1001_9^4 - 52467/37204*c_1001_9^3 - 1264/9301*c_1001_9^2 + 53987/37204*c_1001_9 - 75557/37204, c_1001_2 + 403/74408*c_1001_9^5 - 2551/37204*c_1001_9^4 - 52229/74408*c_1001_9^3 - 40495/74408*c_1001_9^2 - 2427/37204*c_1001_9 - 36563/74408, c_1001_9^6 - 17*c_1001_9^5 - 49*c_1001_9^4 - 20*c_1001_9^3 + 25*c_1001_9^2 - 27*c_1001_9 - 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB