Magma V2.19-8 Tue Aug 20 2013 23:47:19 on localhost [Seed = 1393899795] Type ? for help. Type -D to quit. Loading file "L10a119__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a119 geometric_solution 10.99158713 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 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 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 0.500000000000 0.500000000000 0 0 5 4 0132 1230 0132 0132 1 1 0 1 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 -4 4 0 0 5 -5 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 6 0 7 6 0132 0132 0132 2031 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 -1 1 0 0 0 0 0 -4 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 5 7 0 8 0132 3120 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 1 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 1 -1 -5 0 0 5 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 9 8 1 5 0132 3012 0132 1302 1 1 1 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 0 0 0 0 0 0 0 4 -4 0 0 0 5 -5 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 3 10 4 1 0132 0132 2031 0132 1 1 1 1 0 -1 0 1 1 0 0 -1 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 -4 0 4 5 0 0 -5 0 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 2 2 11 10 0132 1302 0132 1023 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 1 -1 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 9 3 10 2 2310 3120 2103 0132 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 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 0.000000000000 1.000000000000 4 9 3 11 1230 0321 0132 0321 1 1 0 1 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 -5 5 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 4 11 7 8 0132 1023 3201 0321 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 0 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 0 0 0 0.000000000000 1.000000000000 7 5 11 6 2103 0132 3120 1023 1 1 1 1 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 -5 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 0 0 0 0.500000000000 0.500000000000 9 8 10 6 1023 0321 3120 0132 1 1 0 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 1 0 0 -1 -1 0 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0101_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], '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_2_11' : 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' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0110_10']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0101_6'], '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_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 8*c_1001_1, c_0011_0 - 1, c_0011_10 - c_1001_1 + 1, c_0011_11 + 2*c_1001_1 - 2, c_0011_7 + c_1001_1, c_0011_8 + 1, c_0101_1 - 1, c_0101_10 + c_1001_1 - 1, c_0101_2 + c_1001_1, c_0101_5 - c_1001_1 + 1, c_0101_6 - 1, c_0110_10 + 1, c_1001_1^2 - c_1001_1 + 1/2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 146247/16*c_1001_1^3 - 1126575/32*c_1001_1^2 + 651229/16*c_1001_1 - 1542901/128, c_0011_0 - 1, c_0011_10 - c_1001_1 + 1, c_0011_11 + 2*c_1001_1 - 2, c_0011_7 - 2*c_1001_1^2 + 3*c_1001_1 - 1, c_0011_8 + 1, c_0101_1 - 1, c_0101_10 + 8*c_1001_1^3 - 22*c_1001_1^2 + 16*c_1001_1 - 4, c_0101_2 - 2*c_1001_1^2 + 3*c_1001_1 - 1, c_0101_5 - c_1001_1 + 1, c_0101_6 + 8*c_1001_1^3 - 24*c_1001_1^2 + 22*c_1001_1 - 6, c_0110_10 + 4*c_1001_1^3 - 12*c_1001_1^2 + 10*c_1001_1 - 3, c_1001_1^4 - 9/2*c_1001_1^3 + 7*c_1001_1^2 - 35/8*c_1001_1 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 13/128*c_1001_1^3 + 13/64*c_1001_1^2 + 27/128*c_1001_1 + 17/128, c_0011_0 - 1, c_0011_10 - c_1001_1^3 + c_1001_1^2 - 1, c_0011_11 - c_1001_1^3 + c_1001_1^2, c_0011_7 + c_1001_1, c_0011_8 - c_1001_1^2 - 1, c_0101_1 - 1, c_0101_10 + c_1001_1^3 - c_1001_1^2 + 1, c_0101_2 - c_1001_1^2 + c_1001_1 - 2, c_0101_5 + c_1001_1^3 - c_1001_1^2 + c_1001_1 - 1, c_0101_6 - 1, c_0110_10 - c_1001_1^3 + c_1001_1 - 3, c_1001_1^4 - c_1001_1^3 + c_1001_1^2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 17/8*c_1001_1^3 - 3/4*c_1001_1^2 - 1/8*c_1001_1 - 11/8, c_0011_0 - 1, c_0011_10 + c_1001_1^3 - c_1001_1^2 + c_1001_1 - 1, c_0011_11 + c_1001_1^3 - c_1001_1^2 + c_1001_1, c_0011_7 - c_1001_1^2 + c_1001_1 - 2, c_0011_8 - 1/2*c_1001_1^3 + c_1001_1^2 - 1/2*c_1001_1 - 1/2, c_0101_1 - 1, c_0101_10 + c_1001_1^3 - c_1001_1^2 + 1, c_0101_2 + c_1001_1, c_0101_5 - c_1001_1^3 + c_1001_1^2 - 1, c_0101_6 + 1/2*c_1001_1^3 - c_1001_1^2 + 1/2*c_1001_1 + 1/2, c_0110_10 + 1, c_1001_1^4 - c_1001_1^3 + c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB