Magma V2.19-8 Tue Aug 20 2013 23:53:24 on localhost [Seed = 3903750943] Type ? for help. Type -D to quit. Loading file "L13n5900__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5900 geometric_solution 11.88890196 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 -1 0 1 -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 2 1 -3 3 0 -3 0 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488476230977 0.953126183450 0 0 5 4 0132 1302 0132 0132 1 1 1 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 -3 0 3 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574148825220 0.830930717190 6 0 6 7 0132 0132 3012 0132 1 1 1 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 -2 2 0 0 0 0 0 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263457072941 1.088379093783 7 7 8 0 3120 2103 0132 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 1 -1 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 0.590709950207 1.075503658316 9 10 1 9 0132 0132 0132 1302 1 1 1 1 0 -1 0 1 -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 2 0 -2 2 0 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 0.309078591123 0.812175022647 11 11 9 1 0132 1230 3012 0132 1 1 0 1 0 0 0 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 0 0 0 0 0 3 -3 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426470992863 0.630190170437 2 2 8 11 0132 1230 1302 2031 1 1 0 1 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 0 3 -3 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426470992863 0.630190170437 9 3 2 3 3120 2103 0132 3120 1 1 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389052677905 0.721255025567 6 10 10 3 2031 1230 2031 0132 1 1 1 1 0 0 0 0 1 0 0 -1 1 -1 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 -3 0 0 3 -2 2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426470992863 0.630190170437 4 5 4 7 0132 1230 2031 3120 1 1 1 1 0 1 0 -1 1 0 -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 -3 0 3 -2 0 2 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389052677905 0.721255025567 11 4 8 8 3201 0132 3012 1302 1 1 1 1 0 1 -1 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 -2 2 0 3 0 -1 -2 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263457072941 1.088379093783 5 6 5 10 0132 1302 3012 2310 1 1 1 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 3 0 -3 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263457072941 1.088379093783 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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_2_11' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : negation(d['c_1001_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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0011_11']})} 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 6313129/14112*c_1001_4^6 + 36839339/14112*c_1001_4^5 - 428107399/56448*c_1001_4^4 + 1496203435/112896*c_1001_4^3 - 540492811/37632*c_1001_4^2 + 116185325/12544*c_1001_4 - 86591801/28224, c_0011_0 - 1, c_0011_10 + 13/49*c_1001_4^6 - 123/49*c_1001_4^5 + 1843/196*c_1001_4^4 - 7695/392*c_1001_4^3 + 9889/392*c_1001_4^2 - 7229/392*c_1001_4 + 313/49, c_0011_11 + 262/49*c_1001_4^6 - 1514/49*c_1001_4^5 + 8621/98*c_1001_4^4 - 29537/196*c_1001_4^3 + 31111/196*c_1001_4^2 - 19519/196*c_1001_4 + 1574/49, c_0011_3 + c_1001_4 - 1, c_0011_7 - 45/49*c_1001_4^6 + 275/49*c_1001_4^5 - 3123/196*c_1001_4^4 + 10655/392*c_1001_4^3 - 10681/392*c_1001_4^2 + 6117/392*c_1001_4 - 209/49, c_0011_8 - 45/49*c_1001_4^6 + 275/49*c_1001_4^5 - 3123/196*c_1001_4^4 + 10655/392*c_1001_4^3 - 10681/392*c_1001_4^2 + 6117/392*c_1001_4 - 209/49, c_0101_0 - 1, c_0101_1 + 1, c_0101_3 - 13/49*c_1001_4^6 + 123/49*c_1001_4^5 - 1843/196*c_1001_4^4 + 7695/392*c_1001_4^3 - 9889/392*c_1001_4^2 + 7229/392*c_1001_4 - 313/49, c_0101_8 - 172/49*c_1001_4^6 + 964/49*c_1001_4^5 - 2749/49*c_1001_4^4 + 9441/98*c_1001_4^3 - 10019/98*c_1001_4^2 + 6309/98*c_1001_4 - 960/49, c_0101_9 - c_1001_4 + 1, c_1001_4^7 - 7*c_1001_4^6 + 95/4*c_1001_4^5 - 395/8*c_1001_4^4 + 533/8*c_1001_4^3 - 465/8*c_1001_4^2 + 31*c_1001_4 - 8 ], 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 5652/7*c_0101_9*c_1001_4^6 + 55782/7*c_0101_9*c_1001_4^5 - 211546/7*c_0101_9*c_1001_4^4 + 381196/7*c_0101_9*c_1001_4^3 - 310232/7*c_0101_9*c_1001_4^2 + 49901/7*c_0101_9*c_1001_4 + 49878/7*c_0101_9 + 7372/7*c_1001_4^6 - 69960/7*c_1001_4^5 + 253073/7*c_1001_4^4 - 431570/7*c_1001_4^3 + 329317/7*c_1001_4^2 - 44867/7*c_1001_4 - 48469/7, c_0011_0 - 1, c_0011_10 + 4/7*c_0101_9*c_1001_4^6 - 36/7*c_0101_9*c_1001_4^5 + 127/7*c_0101_9*c_1001_4^4 - 213/7*c_0101_9*c_1001_4^3 + 155/7*c_0101_9*c_1001_4^2 - 23/7*c_0101_9*c_1001_4 - 18/7*c_0101_9 - c_1001_4 + 2, c_0011_11 + 2*c_0101_9*c_1001_4^6 - 15*c_0101_9*c_1001_4^5 + 37*c_0101_9*c_1001_4^4 - 28*c_0101_9*c_1001_4^3 - 12*c_0101_9*c_1001_4^2 + 17*c_0101_9*c_1001_4 + 5*c_0101_9 + 2*c_1001_4^6 - 17*c_1001_4^5 + 54*c_1001_4^4 - 78*c_1001_4^3 + 46*c_1001_4^2 - 6, c_0011_3 - c_0101_9 + 6/7*c_1001_4^6 - 33/7*c_1001_4^5 + 47/7*c_1001_4^4 + 27/7*c_1001_4^3 - 121/7*c_1001_4^2 + 74/7*c_1001_4 + 8/7, c_0011_7 - 10/7*c_0101_9*c_1001_4^6 + 83/7*c_0101_9*c_1001_4^5 - 251/7*c_0101_9*c_1001_4^4 + 333/7*c_0101_9*c_1001_4^3 - 167/7*c_0101_9*c_1001_4^2 - 23/7*c_0101_9*c_1001_4 + 24/7*c_0101_9 - 2*c_1001_4^5 + 13*c_1001_4^4 - 30*c_1001_4^3 + 29*c_1001_4^2 - 7*c_1001_4 - 3, c_0011_8 + 10/7*c_0101_9*c_1001_4^6 - 83/7*c_0101_9*c_1001_4^5 + 251/7*c_0101_9*c_1001_4^4 - 333/7*c_0101_9*c_1001_4^3 + 167/7*c_0101_9*c_1001_4^2 + 23/7*c_0101_9*c_1001_4 - 24/7*c_0101_9 - 8/7*c_1001_4^6 + 58/7*c_1001_4^5 - 163/7*c_1001_4^4 + 230/7*c_1001_4^3 - 156/7*c_1001_4^2 + 25/7*c_1001_4 + 15/7, c_0101_0 - 1, c_0101_1 + 2*c_0101_9*c_1001_4^6 - 17*c_0101_9*c_1001_4^5 + 52*c_0101_9*c_1001_4^4 - 67*c_0101_9*c_1001_4^3 + 27*c_0101_9*c_1001_4^2 + 10*c_0101_9*c_1001_4 - 2*c_0101_9, c_0101_3 + 4/7*c_0101_9*c_1001_4^6 - 36/7*c_0101_9*c_1001_4^5 + 127/7*c_0101_9*c_1001_4^4 - 213/7*c_0101_9*c_1001_4^3 + 155/7*c_0101_9*c_1001_4^2 - 23/7*c_0101_9*c_1001_4 - 18/7*c_0101_9 - 10/7*c_1001_4^6 + 83/7*c_1001_4^5 - 251/7*c_1001_4^4 + 333/7*c_1001_4^3 - 167/7*c_1001_4^2 - 16/7*c_1001_4 + 24/7, c_0101_8 - 12/7*c_1001_4^6 + 80/7*c_1001_4^5 - 185/7*c_1001_4^4 + 170/7*c_1001_4^3 - 24/7*c_1001_4^2 - 36/7*c_1001_4 - 2/7, c_0101_9^2 - 6/7*c_0101_9*c_1001_4^6 + 33/7*c_0101_9*c_1001_4^5 - 47/7*c_0101_9*c_1001_4^4 - 27/7*c_0101_9*c_1001_4^3 + 121/7*c_0101_9*c_1001_4^2 - 74/7*c_0101_9*c_1001_4 - 8/7*c_0101_9 + c_1001_4^2 - 2*c_1001_4 + 1, c_1001_4^7 - 19/2*c_1001_4^6 + 69/2*c_1001_4^5 - 119/2*c_1001_4^4 + 47*c_1001_4^3 - 17/2*c_1001_4^2 - 6*c_1001_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB