Magma V2.19-8 Tue Aug 20 2013 23:47:30 on localhost [Seed = 3035815660] Type ? for help. Type -D to quit. Loading file "L10n38__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n38 geometric_solution 11.08216662 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 1 -1 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 1 1 -2 -1 0 1 0 -3 0 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406136079032 0.475130492882 0 5 2 6 0132 0132 0132 0132 0 1 1 1 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 0 0 0 1 0 0 -1 3 0 0 -3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.005845080775 0.901698347619 7 0 8 1 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -3 0 3 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050594798278 1.531532564047 9 5 10 0 0132 0321 0132 0132 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 0 1 -1 0 0 1 -1 4 -4 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147899035705 0.737978814964 11 10 0 9 0132 0132 0132 0132 0 1 1 1 0 -1 1 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 2 -1 0 0 0 0 0 4 0 -4 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721848553557 1.106968222445 7 1 9 3 1023 0132 0213 0321 0 1 1 1 0 0 0 0 0 0 1 -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 0 0 -1 0 4 -3 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341163901914 1.161541399997 11 10 1 8 2103 0213 0132 0132 0 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 1 -1 1 -1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341163901914 1.161541399997 2 5 11 11 0132 1023 0132 0321 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 1 -1 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 0.490362944925 0.821135286145 10 9 6 2 0321 0321 0132 0132 0 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 0 -1 -1 0 1 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 -0.190992329475 0.566479053184 3 5 4 8 0132 0213 0132 0321 0 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 0 4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670581950957 0.580770699999 8 4 6 3 0321 0132 0213 0132 0 1 1 1 0 1 0 -1 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 1 -1 0 -3 0 3 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170581950957 0.580770699999 4 7 6 7 0132 0321 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 0.463919566731 0.897691321348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_1001_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_8'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_8' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_6']), '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_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_6'])})} 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_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_1001_0, c_1001_10, c_1001_2, c_1001_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 2491/286*c_1100_1^2 + 4076/143*c_1100_1 + 2523/143, c_0011_0 - 1, c_0011_10 - 7/9*c_1100_1^2 - 13/9*c_1100_1 - 2/9, c_0011_3 - 1/3*c_1100_1^2 - 1/3*c_1100_1 + 1/3, c_0011_6 + 1/9*c_1100_1^2 + 7/9*c_1100_1 + 8/9, c_0011_8 - 4/9*c_1100_1^2 - 10/9*c_1100_1 - 14/9, c_0101_0 - 5/9*c_1100_1^2 - 17/9*c_1100_1 - 13/9, c_0101_1 + 10/9*c_1100_1^2 + 25/9*c_1100_1 + 17/9, c_1001_0 - 1, c_1001_10 - c_1100_1 - 1, c_1001_2 + c_1100_1^2 + 2*c_1100_1 + 1, c_1001_8 + c_1100_1^2 + 2*c_1100_1 + 1, c_1100_1^3 + 4*c_1100_1^2 + 5*c_1100_1 + 3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_1001_0, c_1001_10, c_1001_2, c_1001_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 1272053/3168*c_1100_1^4 + 194545/3168*c_1100_1^3 - 119179/3168*c_1100_1^2 - 2870843/792*c_1100_1 - 469583/3168, c_0011_0 - 1, c_0011_10 + 4/11*c_1100_1^4 + 9/11*c_1100_1^3 + 23/11*c_1100_1^2 + 2/11*c_1100_1 + 3/11, c_0011_3 - 1/22*c_1100_1^4 - 5/22*c_1100_1^3 - 3/22*c_1100_1^2 - 3/11*c_1100_1 + 13/22, c_0011_6 - 7/22*c_1100_1^4 - 13/22*c_1100_1^3 - 21/22*c_1100_1^2 + 12/11*c_1100_1 + 3/22, c_0011_8 + 6/11*c_1100_1^4 + 8/11*c_1100_1^3 + 18/11*c_1100_1^2 - 8/11*c_1100_1 + 10/11, c_0101_0 - 1/11*c_1100_1^4 - 5/11*c_1100_1^3 - 14/11*c_1100_1^2 - 17/11*c_1100_1 + 2/11, c_0101_1 - 6/11*c_1100_1^4 - 8/11*c_1100_1^3 - 18/11*c_1100_1^2 + 19/11*c_1100_1 + 1/11, c_1001_0 - 1, c_1001_10 - 5/22*c_1100_1^4 - 3/22*c_1100_1^3 + 7/22*c_1100_1^2 + 18/11*c_1100_1 - 1/22, c_1001_2 + 1/22*c_1100_1^4 + 5/22*c_1100_1^3 + 3/22*c_1100_1^2 - 8/11*c_1100_1 - 13/22, c_1001_8 - 1/22*c_1100_1^4 - 5/22*c_1100_1^3 - 3/22*c_1100_1^2 + 8/11*c_1100_1 + 13/22, c_1100_1^5 - 9*c_1100_1^2 + c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB