Magma V2.19-8 Tue Aug 20 2013 23:38:56 on localhost [Seed = 2816590789] Type ? for help. Type -D to quit. Loading file "L10n39__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n39 geometric_solution 9.53978046 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 -1 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637550338459 1.056346863849 0 5 5 6 0132 0132 0321 0132 1 1 1 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 -1 0 1 -1 0 0 1 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306102797692 0.581203474610 3 0 7 6 0213 0132 0132 2310 0 1 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 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 0.637550338459 1.056346863849 2 8 7 0 0213 0132 0321 0132 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 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 0.581203474610 0.693897202308 9 8 0 6 0132 0321 0132 2031 0 1 1 1 0 0 1 -1 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 1 -1 -12 12 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 7 1 1 8 0213 0132 0321 1230 1 1 1 1 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 1 0 -1 12 0 0 -12 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306102797692 0.581203474610 2 4 1 9 3201 1302 0132 1302 1 1 0 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 0 0 0 0 1 -1 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 1.000000000000 1.000000000000 5 9 3 2 0213 0321 0321 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581203474610 0.693897202308 5 3 9 4 3012 0132 0213 0321 0 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 1 0 -1 1 0 -12 11 12 0 0 -12 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 4 8 6 7 0132 0213 2031 0321 0 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 0 0 0 0 0 0 0 12 0 -12 12 -11 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : negation(d['c_0110_6']), 's_2_8' : negation(d['1']), 's_2_9' : d['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' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1001_7'], 'c_1100_8' : d['c_1001_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_0011_6'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : 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' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_4']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_6, c_0011_7, c_0101_0, c_0101_9, c_0110_6, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 141/500*c_1001_7^3 + 383/500*c_1001_7^2 + 68/125*c_1001_7 - 94/125, c_0011_0 - 1, c_0011_3 + 2*c_1001_7^3 + 5*c_1001_7^2 + 2*c_1001_7 - 5, c_0011_4 + c_1001_7^3 + 3*c_1001_7^2 + 3*c_1001_7 - 3, c_0011_6 + c_1001_7^2 + c_1001_7 - 1, c_0011_7 + 2*c_1001_7^3 + 6*c_1001_7^2 + 4*c_1001_7 - 6, c_0101_0 + c_1001_7^2 + 2*c_1001_7 + 1, c_0101_9 + c_1001_7 + 1, c_0110_6 + 1, c_1001_2 + c_1001_7^3 + 2*c_1001_7^2 + c_1001_7 - 2, c_1001_7^4 + 2*c_1001_7^3 - 4*c_1001_7 + 2 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_9, c_0110_6, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + c_1001_7^3 + 17/4*c_1001_7^2 + 2*c_1001_7 - 3/4, c_0011_0 - 1, c_0011_3 - 1/2*c_1001_7^2 - c_1001_7, c_0011_4 + 1/4*c_1001_7^3 + 1/4*c_1001_7^2 + 1/2, c_0011_6 + c_1001_7^2 + c_1001_7 - 1, c_0011_7 + 1/2*c_1001_7^2 + c_1001_7 - 1, c_0101_0 - 1/2*c_1001_7^2 - c_1001_7, c_0101_9 - 1/4*c_1001_7^3 - 1/4*c_1001_7^2 - 1/2, c_0110_6 + 1, c_1001_2 - c_1001_7^3 - c_1001_7^2 + c_1001_7, c_1001_7^4 + 2*c_1001_7^3 - c_1001_7^2 - 2*c_1001_7 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB