Magma V2.19-8 Tue Aug 20 2013 23:42:07 on localhost [Seed = 3920596129] Type ? for help. Type -D to quit. Loading file "L12n871__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n871 geometric_solution 10.02116372 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 -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 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 0.604649873249 0.553199298030 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334432265401 0.784538773107 8 0 5 9 0132 0132 0132 0132 1 1 1 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 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474489320316 1.349781052639 5 8 7 0 0132 0132 1302 0132 1 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 0 0 0 0 1 0 -1 0 0 1 -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 0.604649873249 0.553199298030 8 7 0 10 3012 0132 0132 0132 1 1 1 0 0 0 0 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 -1 0 1 0 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452214117872 0.591835090669 3 1 10 2 0132 0132 0213 0132 1 1 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474489320316 1.349781052639 10 8 1 9 0213 3201 0132 3201 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.363025204139 1.506328076333 3 4 9 1 2031 0132 3201 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184856668013 1.066818590416 2 3 6 4 0132 0132 2310 1230 1 1 0 1 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 0 1 0 0 0 0 1 1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334432265401 0.784538773107 7 6 2 10 2310 2310 0132 0213 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 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 -0.231791871675 0.659378964176 6 5 4 9 0213 0213 0132 0213 1 1 1 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.474489320316 1.349781052639 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1010_10'], '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_6'], '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_1010_10'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_1010_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_1010_10'], 'c_1100_10' : d['c_0101_7'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_1'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0']), '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_0011_10'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_6'], '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_4, c_0011_6, c_0011_9, c_0101_1, c_0101_7, c_0101_8, c_1001_0, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 2/3*c_1010_10^6 - 53/12*c_1010_10^5 - 55/12*c_1010_10^4 - 9/4*c_1010_10^3 + 5/6*c_1010_10^2 + 5*c_1010_10 + 1/12, c_0011_0 - 1, c_0011_10 - 1, c_0011_4 + 3/4*c_1010_10^6 + 5*c_1010_10^5 + 29/4*c_1010_10^4 + 59/4*c_1010_10^3 + 43/4*c_1010_10^2 + 9*c_1010_10 + 2, c_0011_6 + c_1010_10^6 + 15/2*c_1010_10^5 + 15*c_1010_10^4 + 53/2*c_1010_10^3 + 61/2*c_1010_10^2 + 43/2*c_1010_10 + 13, c_0011_9 - c_1010_10^6 - 15/2*c_1010_10^5 - 15*c_1010_10^4 - 53/2*c_1010_10^3 - 61/2*c_1010_10^2 - 43/2*c_1010_10 - 13, c_0101_1 - 3/4*c_1010_10^6 - 11/2*c_1010_10^5 - 41/4*c_1010_10^4 - 69/4*c_1010_10^3 - 69/4*c_1010_10^2 - 23/2*c_1010_10 - 5, c_0101_7 - 1/2*c_1010_10^5 - 3*c_1010_10^4 - 5/2*c_1010_10^3 - 13/2*c_1010_10^2 - 5/2*c_1010_10 - 3, c_0101_8 + 1/2*c_1010_10^6 + 2*c_1010_10^5 - 7/2*c_1010_10^4 + 1/2*c_1010_10^3 - 29/2*c_1010_10^2 - 4*c_1010_10 - 11, c_1001_0 + 1, c_1001_1 + 3/4*c_1010_10^6 + 5*c_1010_10^5 + 29/4*c_1010_10^4 + 59/4*c_1010_10^3 + 43/4*c_1010_10^2 + 9*c_1010_10 + 2, c_1010_10^7 + 7*c_1010_10^6 + 13*c_1010_10^5 + 30*c_1010_10^4 + 30*c_1010_10^3 + 37*c_1010_10^2 + 18*c_1010_10 + 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB