Magma V2.19-8 Tue Aug 20 2013 23:31:10 on localhost [Seed = 256469359] Type ? for help. Type -D to quit. Loading file "L14n21811__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21811 geometric_solution 8.83066495 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 -1 1 0 0 0 -1 1 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 0 0 4 -4 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619491810752 0.813834558902 0 4 5 5 0132 0132 2031 0132 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619491810752 0.813834558902 5 0 6 0 1023 0132 0132 0213 0 1 1 1 0 1 -1 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 0 1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619491810752 0.813834558902 4 6 6 0 3012 0132 0321 0132 0 1 1 1 0 1 0 -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 0 0 1 0 3 -4 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254548000121 0.921420673305 7 1 8 3 0132 0132 0132 1230 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 0 1 -1 0 0 0 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706104132993 0.680353387194 8 2 1 1 2031 1023 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619491810752 0.813834558902 8 3 3 2 1023 0132 0321 0132 0 1 1 1 0 -1 0 1 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 0 1 0 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254548000121 0.921420673305 4 7 8 7 0132 2310 1302 3201 1 1 1 1 0 0 0 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 0 0 0 0 0 0 -3 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838959396516 0.496572374787 7 6 5 4 2031 1023 1302 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 0 0 0 0 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265594659851 0.707622484272 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0101_3']), 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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_8' : d['c_0101_0'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_0101_2'], '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : 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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_0101_7' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_0'], 'c_0110_8' : d['c_0101_4'], '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_0101_1']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 27/77*c_0101_4 - 355/154, c_0011_0 - 1, c_0011_3 + 2*c_0101_4 + 3/2, c_0101_0 - 1/2*c_0101_4 - 1, c_0101_1 - 1/2*c_0101_4, c_0101_2 + 1/2*c_0101_4 + 1, c_0101_3 + 3/2*c_0101_4 + 1/2, c_0101_4^2 + 3/2*c_0101_4 + 1, c_1001_0 - 1, c_1001_2 - 1 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 2265/232*c_0101_4^2 - 403/29*c_0101_4 + 126/29, c_0011_0 - 1, c_0011_3 - 5/2*c_0101_4^2 + 15/2*c_0101_4 - 9/2, c_0101_0 - 5*c_0101_4^2 + 11*c_0101_4 - 4, c_0101_1 + 5*c_0101_4^2 - 11*c_0101_4 + 5, c_0101_2 + 5*c_0101_4^2 - 11*c_0101_4 + 4, c_0101_3 + 5/2*c_0101_4^2 - 7/2*c_0101_4 - 1/2, c_0101_4^3 - 13/5*c_0101_4^2 + 9/5*c_0101_4 - 2/5, c_1001_0 - 1, c_1001_2 + 1 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 13*c_1001_2^3 + 34*c_1001_2^2 + 24*c_1001_2 + 29, c_0011_0 - 1, c_0011_3 + 1, c_0101_0 + c_1001_2^2 + 3*c_1001_2 + 2, c_0101_1 + c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 + 1, c_0101_2 + c_1001_2^2 + 3*c_1001_2 + 1, c_0101_3 + c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 + 1, c_0101_4 - c_1001_2^3 - 3*c_1001_2^2 - 2*c_1001_2 - 2, c_1001_0 - 1, c_1001_2^4 + 3*c_1001_2^3 + 3*c_1001_2^2 + 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB