Magma V2.19-8 Tue Aug 20 2013 23:47:47 on localhost [Seed = 1090988845] Type ? for help. Type -D to quit. Loading file "L11n168__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n168 geometric_solution 11.20636594 oriented_manifold CS_known -0.0000000000000006 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 -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 1 0 -1 -1 0 1 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722078766482 0.895464794871 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 1 0 -1 0 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492647752813 0.699100036902 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 -2 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 0.494794494363 1.629596422505 10 11 4 0 0132 0132 0213 0132 1 1 1 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 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974874182520 0.514013639548 9 3 0 8 0132 0213 0132 1230 1 1 1 0 0 0 0 0 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 0 1 -1 2 0 0 -2 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356783056231 0.586877955447 7 1 6 10 1023 0132 3012 0321 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 -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 -0.270288989477 0.945954011210 10 5 1 9 2103 1230 0132 0132 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 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 0.995793618348 0.663265424031 2 5 8 1 0132 1023 0132 0132 1 1 0 1 0 0 0 0 0 0 -1 1 -1 0 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 -1 1 2 0 0 -2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157043923755 0.585982904442 4 11 2 7 3012 0213 0132 0132 1 1 1 1 0 0 0 0 0 0 -1 1 1 0 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 1 0 -2 1 2 0 0 -2 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350981159941 0.910510173707 4 11 6 2 0132 0321 0132 0132 1 1 0 1 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 1 -1 -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 0 0 0 0.563177814521 0.788928246657 3 5 6 11 0132 0321 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637752356953 0.666268323705 10 3 8 9 3120 0132 0213 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532347643972 0.522754602927 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(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_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_5'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_4'], 'c_0110_10' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], '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_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_8']})} 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_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 243648/95*c_1100_1^4 - 154752/19*c_1100_1^3 - 200464/19*c_1100_1^2 - 98520/19*c_1100_1 - 39704/95, c_0011_0 - 1, c_0011_10 + 36/19*c_1100_1^4 + 96/19*c_1100_1^3 + 103/19*c_1100_1^2 + 41/38*c_1100_1 - 3/38, c_0011_4 + 20/19*c_1100_1^4 + 28/19*c_1100_1^3 + 15/19*c_1100_1^2 - 49/38*c_1100_1 + 15/19, c_0011_6 - c_1100_1 - 1, c_0011_8 - 48/19*c_1100_1^4 - 128/19*c_1100_1^3 - 112/19*c_1100_1^2 - 21/19*c_1100_1 - 17/19, c_0101_0 - 1, c_0101_1 - 16/19*c_1100_1^4 - 68/19*c_1100_1^3 - 88/19*c_1100_1^2 - 45/19*c_1100_1 - 5/38, c_0101_5 + 32/19*c_1100_1^4 + 60/19*c_1100_1^3 + 24/19*c_1100_1^2 - 5/19*c_1100_1 + 5/19, c_0101_7 - 32/19*c_1100_1^4 - 60/19*c_1100_1^3 - 62/19*c_1100_1^2 - 14/19*c_1100_1 - 5/19, c_1001_0 - 32/19*c_1100_1^4 - 60/19*c_1100_1^3 - 62/19*c_1100_1^2 - 14/19*c_1100_1 - 5/19, c_1001_2 - 56/19*c_1100_1^4 - 124/19*c_1100_1^3 - 118/19*c_1100_1^2 - 34/19*c_1100_1 - 27/38, c_1100_1^5 + 3*c_1100_1^4 + 15/4*c_1100_1^3 + 15/8*c_1100_1^2 + 1/2*c_1100_1 + 1/4 ], 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_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 397694/9*c_1100_1^5 - 1202974/9*c_1100_1^4 - 119367/2*c_1100_1^3 + 1898597/18*c_1100_1^2 + 44234*c_1100_1 - 630947/18, c_0011_0 - 1, c_0011_10 - 55/18*c_1100_1^5 - 83/18*c_1100_1^4 + 9/2*c_1100_1^3 + 52/9*c_1100_1^2 - 8/3*c_1100_1 - 17/18, c_0011_4 - 22/3*c_1100_1^4 - 14*c_1100_1^3 + 3*c_1100_1^2 + 26/3*c_1100_1 - 10/3, c_0011_6 - 11/18*c_1100_1^5 - 109/18*c_1100_1^4 - 10*c_1100_1^3 + 1/18*c_1100_1^2 + 16/3*c_1100_1 - 2/9, c_0011_8 + 11/18*c_1100_1^5 + 109/18*c_1100_1^4 + 10*c_1100_1^3 - 1/18*c_1100_1^2 - 13/3*c_1100_1 + 2/9, c_0101_0 - 1, c_0101_1 + 22/3*c_1100_1^5 + 17/2*c_1100_1^4 - 27/2*c_1100_1^3 - 11/3*c_1100_1^2 + 65/6*c_1100_1 - 4, c_0101_5 - 55/18*c_1100_1^5 - 83/18*c_1100_1^4 + 9/2*c_1100_1^3 + 52/9*c_1100_1^2 - 5/3*c_1100_1 + 1/18, c_0101_7 + 22/9*c_1100_1^5 + 7/18*c_1100_1^4 - 11*c_1100_1^3 - 67/18*c_1100_1^2 + 41/6*c_1100_1 - 17/18, c_1001_0 - 88/9*c_1100_1^5 - 259/18*c_1100_1^4 + 14*c_1100_1^3 + 223/18*c_1100_1^2 - 55/6*c_1100_1 + 17/18, c_1001_2 - 22/9*c_1100_1^5 - 86/9*c_1100_1^4 - 13/2*c_1100_1^3 + 85/18*c_1100_1^2 + 2*c_1100_1 - 13/18, c_1100_1^6 + 32/11*c_1100_1^5 + c_1100_1^4 - 28/11*c_1100_1^3 - 8/11*c_1100_1^2 + 10/11*c_1100_1 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB