Magma V2.19-8 Tue Aug 20 2013 23:39:48 on localhost [Seed = 1663371230] Type ? for help. Type -D to quit. Loading file "L11n47__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n47 geometric_solution 9.31234132 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 0321 1 1 1 1 0 0 0 0 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 -1 0 1 0 0 0 0 0 10 0 -10 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.495668045112 0.538167834164 0 0 2 4 0132 0321 1302 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333985788576 0.792339170389 1 0 5 3 2031 0132 0132 3012 1 1 1 1 0 0 0 0 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 1 -1 0 -1 0 1 0 0 11 0 -11 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096289493058 0.751164633338 5 4 2 0 1230 0132 1230 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 -11 0 11 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.212428118882 0.700191793166 6 3 1 7 0132 0132 0132 0132 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 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425943326746 1.005335969562 8 3 9 2 0132 3012 0132 0132 1 1 1 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 -1 11 0 -10 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428323316072 0.750115548364 4 9 8 8 0132 3120 0132 0321 0 1 1 1 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 0 1 0 0 0 0 10 0 0 -10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543053740829 0.922769355953 9 9 4 8 0132 1230 0132 1302 1 1 0 1 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 -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 0.543053740829 0.922769355953 5 6 7 6 0132 0321 2031 0132 0 1 1 1 0 1 -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 0 0 0 0 -1 1 0 0 0 0 0 -11 10 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526300858280 0.804920432467 7 6 7 5 0132 3120 3012 0132 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 -1 0 1 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 0.526300858280 0.804920432467 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_9']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_3']), 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_3']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_7'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_7']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_5'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 659/50*c_1001_3^2 + 1237/25*c_1001_3 + 1344/25, c_0011_0 - 1, c_0011_3 - 2*c_1001_3^2 - 5*c_1001_3 - 2, c_0011_5 + c_1001_3, c_0011_7 - 1, c_0101_2 - 2*c_1001_3^2 - 5*c_1001_3 - 2, c_0101_3 - c_1001_3 - 1, c_0101_5 - 2*c_1001_3^2 - 4*c_1001_3 - 2, c_0101_9 + 1, c_0110_2 + c_1001_3^2 + 2*c_1001_3 + 1, c_1001_3^3 + 4*c_1001_3^2 + 5*c_1001_3 + 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 4409/16*c_1001_3^4 + 8101/8*c_1001_3^3 + 6533/16*c_1001_3^2 - 13193/16*c_1001_3 + 6575/8, c_0011_0 - 1, c_0011_3 - 1/2*c_1001_3^4 - 1/2*c_1001_3^3 + 3/2*c_1001_3^2 - 1/2, c_0011_5 + c_1001_3, c_0011_7 - 1, c_0101_2 - 1/2*c_1001_3^4 - 1/2*c_1001_3^3 + 3/2*c_1001_3^2 - 1/2, c_0101_3 + 1/2*c_1001_3^4 + 3/2*c_1001_3^3 + 1/2*c_1001_3^2 - c_1001_3 + 1/2, c_0101_5 + 1/2*c_1001_3^4 + 1/2*c_1001_3^3 - 3/2*c_1001_3^2 + c_1001_3 + 1/2, c_0101_9 - 1, c_0110_2 - 1/2*c_1001_3^4 - 5/2*c_1001_3^3 - 3/2*c_1001_3^2 + 3*c_1001_3 - 3/2, c_1001_3^5 + 3*c_1001_3^4 - c_1001_3^3 - 4*c_1001_3^2 + 5*c_1001_3 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB