Magma V2.19-8 Tue Aug 20 2013 23:41:16 on localhost [Seed = 2884488993] Type ? for help. Type -D to quit. Loading file "L12n108__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n108 geometric_solution 10.94732545 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 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 -1 2 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 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618580354334 0.905799189045 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 -1 1 0 0 0 0 0 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 1 -1 0 0 0 -1 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 8 0 9 5 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485850514598 0.752879045805 8 6 9 0 2031 0132 0321 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 -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 0 0 0 0 1 0 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618580354334 0.905799189045 5 8 0 6 0132 0132 0132 1230 1 1 0 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 0 1 -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 0.618580354334 0.905799189045 4 1 2 10 0132 0132 0132 0132 1 1 1 0 0 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 -1 -1 2 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 0.485850514598 0.752879045805 4 3 1 10 3012 0132 0132 0213 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 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 0.394863517663 0.937725830713 10 8 9 1 0132 2310 2310 0132 1 1 1 1 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 -1 0 0 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053781735901 0.956225365731 2 4 3 7 0132 0132 1302 3201 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 2 -2 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 10 7 3 2 1302 3201 0321 0132 1 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 1 0 -1 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 0.513139571331 1.134904221190 7 9 5 6 0132 2031 0132 0213 1 1 1 1 0 -1 1 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 2 -2 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 0.513139571331 1.134904221190 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_0'], 'c_1010_10' : d['c_0011_9'], '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_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : d['c_1001_3'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_7'])})} 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_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3417/7904*c_1001_3^3 + 1641/10868*c_1001_3^2 - 6901/5434*c_1001_3 - 1761/5434, c_0011_0 - 1, c_0011_10 + 11/13*c_1001_3^3 - 17/52*c_1001_3^2 + 3/13*c_1001_3 + 4/13, c_0011_3 - 77/104*c_1001_3^3 - 3/52*c_1001_3^2 - 41/26*c_1001_3 - 10/13, c_0011_9 - 33/52*c_1001_3^3 - 23/52*c_1001_3^2 - 12/13*c_1001_3 - 16/13, c_0101_0 + 33/52*c_1001_3^3 + 23/52*c_1001_3^2 - 1/13*c_1001_3 + 16/13, c_0101_1 - 1, c_0101_2 - 11/104*c_1001_3^3 + 5/13*c_1001_3^2 - 2/13*c_1001_3 + 6/13, c_0101_7 - 11/104*c_1001_3^3 + 5/13*c_1001_3^2 + 9/26*c_1001_3 + 6/13, c_1001_0 + 77/104*c_1001_3^3 + 3/52*c_1001_3^2 + 41/26*c_1001_3 + 10/13, c_1001_2 - 11/52*c_1001_3^3 + 10/13*c_1001_3^2 - 4/13*c_1001_3 - 1/13, c_1001_3^4 + 4/11*c_1001_3^3 + 12/11*c_1001_3^2 + 16/11*c_1001_3 + 16/11 ], 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_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 23/80*c_1001_3^4 - 37/20*c_1001_3^3 + 69/40*c_1001_3^2 - 1/20*c_1001_3 - 17/20, c_0011_0 - 1, c_0011_10 + 1/20*c_1001_3^4 - 3/10*c_1001_3^3 + 1/20*c_1001_3^2 - 2/5*c_1001_3 + 6/5, c_0011_3 - 3/40*c_1001_3^4 + 13/40*c_1001_3^3 + 1/20*c_1001_3^2 + 11/10*c_1001_3 - 4/5, c_0011_9 + 1/20*c_1001_3^4 - 3/10*c_1001_3^3 + 1/20*c_1001_3^2 - 2/5*c_1001_3 + 6/5, c_0101_0 + 1/20*c_1001_3^4 - 3/10*c_1001_3^3 + 1/20*c_1001_3^2 - 2/5*c_1001_3 + 6/5, c_0101_1 - 1, c_0101_2 + 1/40*c_1001_3^4 - 1/40*c_1001_3^3 - 3/5*c_1001_3^2 - 1/5*c_1001_3 - 2/5, c_0101_7 - 1/40*c_1001_3^4 + 1/40*c_1001_3^3 + 1/10*c_1001_3^2 + 7/10*c_1001_3 + 2/5, c_1001_0 - 3/40*c_1001_3^4 + 13/40*c_1001_3^3 + 1/20*c_1001_3^2 + 11/10*c_1001_3 - 4/5, c_1001_2 + 1, c_1001_3^5 - 5*c_1001_3^4 - 12*c_1001_3^2 + 16*c_1001_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB