Magma V2.19-8 Tue Aug 20 2013 23:50:38 on localhost [Seed = 2134447193] Type ? for help. Type -D to quit. Loading file "L12n632__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n632 geometric_solution 10.83636848 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 2310 0132 1 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 1 -1 0 0 0 1 -1 -1 0 0 1 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649245457371 0.452785180825 0 0 2 3 0132 3201 2103 2103 1 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 -2 0 2 0 0 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 1.069232880349 1.380260963820 1 0 5 4 2103 0132 0132 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484706681109 0.775075793860 5 4 0 1 0132 0132 0132 2103 1 1 1 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 1 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484706681109 0.775075793860 6 3 2 7 0132 0132 0132 0132 1 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 0 0 0 0 3 -1 0 -2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097459684862 0.673714925677 3 8 9 2 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 1 0 -1 1 0 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097459684862 0.673714925677 4 8 11 10 0132 1023 0132 0132 0 1 1 1 0 -1 0 1 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 2 1 -3 0 0 0 0 3 0 0 -3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 9 11 4 9 1023 1023 0132 0132 1 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 0 0 0 0 -2 0 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 6 5 11 10 1023 0132 1023 1023 1 0 1 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 0 0 0 0 -1 0 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 10 7 7 5 0132 1023 0132 0132 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 0 0 0 -1 0 0 1 0 2 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544559264496 1.436700860213 9 11 6 8 0132 0132 0132 1023 0 1 1 1 0 0 -1 1 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 -1 3 -2 1 0 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.230681509830 0.608602855952 7 10 8 6 1023 0132 1023 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 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.230681509830 0.608602855952 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0101_8'], 's_3_11' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1100_2'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_10']), '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_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_8'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0101_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_3, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_8, c_0101_9, c_1001_0, c_1100_10, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 21/44*c_1100_2^3 + 19/44*c_1100_2^2 - 17/22*c_1100_2 - 7/44, c_0011_0 - 1, c_0011_10 - 2*c_1100_2^3 - c_1100_2 - 2, c_0011_3 - c_1100_2, c_0101_1 - c_1100_2, c_0101_10 + c_1100_2^2 + 1, c_0101_11 + c_1100_2^2 + 1, c_0101_6 - 1, c_0101_8 - 1, c_0101_9 - 1, c_1001_0 - c_1100_2, c_1100_10 - c_1100_2, c_1100_2^4 + c_1100_2^2 + c_1100_2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_8, c_0101_9, c_1001_0, c_1100_10, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 20/17*c_1100_2^5 - 75/17*c_1100_2^4 - 100/17*c_1100_2^3 - 27/17*c_1100_2^2 + 36/17*c_1100_2 + 22/17, c_0011_0 - 1, c_0011_10 + 2*c_1100_2^3 + 4*c_1100_2^2 + 3*c_1100_2, c_0011_3 - c_1100_2, c_0101_1 - c_1100_2^5 - 3*c_1100_2^4 - 3*c_1100_2^3 + c_1100_2, c_0101_10 + c_1100_2^5 + 3*c_1100_2^4 + 4*c_1100_2^3 + 3*c_1100_2^2 + 2*c_1100_2 + 1, c_0101_11 + c_1100_2^5 + 3*c_1100_2^4 + 4*c_1100_2^3 + 3*c_1100_2^2 + 2*c_1100_2 + 1, c_0101_6 - c_1100_2^2 - c_1100_2, c_0101_8 - 1, c_0101_9 - c_1100_2^2 - c_1100_2, c_1001_0 - c_1100_2^5 - 3*c_1100_2^4 - 3*c_1100_2^3 + c_1100_2, c_1100_10 + c_1100_2^5 + 3*c_1100_2^4 + 4*c_1100_2^3 + 2*c_1100_2^2 + c_1100_2, c_1100_2^6 + 4*c_1100_2^5 + 7*c_1100_2^4 + 6*c_1100_2^3 + 3*c_1100_2^2 + c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB