Magma V2.19-8 Tue Aug 20 2013 23:42:02 on localhost [Seed = 239627074] Type ? for help. Type -D to quit. Loading file "L12n721__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n721 geometric_solution 9.56130097 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 2 -1 -1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444046529580 1.129914219444 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 1 0 -1 1 0 0 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037435188420 1.944328506459 8 0 5 4 0132 0132 2031 0213 1 0 1 1 0 -1 1 0 1 0 1 -2 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 -2 2 0 -2 0 -1 3 0 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186741900077 0.370429099454 9 9 6 0 0132 3201 3201 0132 1 1 1 1 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 0 1 0 0 0 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362228333166 0.641131251199 6 8 0 2 3201 2310 0132 0213 1 1 0 1 0 -1 1 0 0 0 0 0 -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 -1 1 0 0 0 -1 1 1 2 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549055390458 0.449599484105 8 1 7 2 1023 0132 0213 1302 0 1 1 1 0 1 0 -1 -1 0 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 -1 0 1 -2 0 0 2 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616948536102 0.828146711846 3 10 1 4 2310 0132 0132 2310 0 1 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 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.779690557450 0.468685302697 9 5 10 1 3120 0213 0132 0132 0 1 1 1 0 0 0 0 -1 0 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 -2 0 2 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.045967633481 0.707277301550 2 5 10 4 0132 1023 1023 3201 1 0 1 1 0 1 -1 0 -1 0 0 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 2 -2 0 2 0 0 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069032224017 0.986298227302 3 10 3 7 0132 3012 2310 3120 1 1 1 1 0 0 0 0 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 0 0 0 0 0 -2 2 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.468580405358 2.121151478914 9 6 8 7 1230 0132 1023 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.060692195974 0.408535478156 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_7'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : 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_0_8' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : negation(d['c_0011_4']), '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' : 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' : 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_3']), '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' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_0'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_0110_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 617783409/442164470*c_1001_5^8 + 222505179/442164470*c_1001_5^7 + 1116450591/221082235*c_1001_5^6 - 642163363/221082235*c_1001_5^5 - 47728734/7131685*c_1001_5^4 + 3435550803/442164470*c_1001_5^3 - 2505872261/442164470*c_1001_5^2 + 470064369/442164470*c_1001_5 - 2032489953/442164470, c_0011_0 - 1, c_0011_10 - 541/43903*c_1001_5^8 - 2725/43903*c_1001_5^7 + 2701/43903*c_1001_5^6 + 8867/43903*c_1001_5^5 - 9552/43903*c_1001_5^4 - 6161/43903*c_1001_5^3 + 10280/43903*c_1001_5^2 - 32157/43903*c_1001_5 - 6887/43903, c_0011_3 + 8511/43903*c_1001_5^8 - 5659/43903*c_1001_5^7 - 25856/43903*c_1001_5^6 + 25648/43903*c_1001_5^5 + 13288/43903*c_1001_5^4 - 61402/43903*c_1001_5^3 + 64607/43903*c_1001_5^2 - 18914/43903*c_1001_5 + 49917/43903, c_0011_4 - 172/1021*c_1001_5^8 - 2/1021*c_1001_5^7 + 419/1021*c_1001_5^6 - 276/1021*c_1001_5^5 - 457/1021*c_1001_5^4 + 991/1021*c_1001_5^3 - 961/1021*c_1001_5^2 - 142/1021*c_1001_5 - 944/1021, c_0011_7 - 6855/43903*c_1001_5^8 + 2639/43903*c_1001_5^7 + 15316/43903*c_1001_5^6 - 20735/43903*c_1001_5^5 - 10099/43903*c_1001_5^4 + 48774/43903*c_1001_5^3 - 51603/43903*c_1001_5^2 + 26051/43903*c_1001_5 - 77608/43903, c_0101_0 - 2393/43903*c_1001_5^8 + 4258/43903*c_1001_5^7 + 6429/43903*c_1001_5^6 - 20912/43903*c_1001_5^5 - 5165/43903*c_1001_5^4 + 34261/43903*c_1001_5^3 - 40955/43903*c_1001_5^2 + 12354/43903*c_1001_5 - 4657/43903, c_0101_1 + 7187/43903*c_1001_5^8 - 2184/43903*c_1001_5^7 - 17217/43903*c_1001_5^6 + 17160/43903*c_1001_5^5 + 5330/43903*c_1001_5^4 - 35823/43903*c_1001_5^3 + 56331/43903*c_1001_5^2 - 42754/43903*c_1001_5 + 68769/43903, c_0101_2 - 1, c_0101_8 - 20/1021*c_1001_5^8 + 71/1021*c_1001_5^7 - 70/1021*c_1001_5^6 - 412/1021*c_1001_5^5 + 398/1021*c_1001_5^4 + 1065/1021*c_1001_5^3 - 1109/1021*c_1001_5^2 - 64/1021*c_1001_5 - 181/1021, c_0110_5 - 6741/43903*c_1001_5^8 - 114/43903*c_1001_5^7 + 22862/43903*c_1001_5^6 - 11648/43903*c_1001_5^5 - 34217/43903*c_1001_5^4 + 37088/43903*c_1001_5^3 - 11895/43903*c_1001_5^2 - 11157/43903*c_1001_5 - 21136/43903, c_1001_5^9 - c_1001_5^8 - 3*c_1001_5^7 + 4*c_1001_5^6 + 2*c_1001_5^5 - 7*c_1001_5^4 + 9*c_1001_5^3 - 6*c_1001_5^2 + 7*c_1001_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB