Magma V2.19-8 Wed Aug 21 2013 01:05:45 on localhost [Seed = 442237612] Type ? for help. Type -D to quit. Loading file "L14n2745__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2745 geometric_solution 11.46787024 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 0 -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 0.016663597053 1.073912688160 0 5 2 6 0132 0132 1023 0132 1 1 0 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 10 0 -10 0 0 -1 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492777355145 0.465475126859 7 0 1 8 0132 0132 1023 0132 1 1 0 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 -1 1 0 -11 0 0 11 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927571306171 1.013011002018 9 10 10 0 0132 0132 1023 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014445289710 0.930950253717 7 5 0 10 2031 1230 0132 1023 1 1 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 0 0 0 0 0 0 0 0 10 1 -11 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 0.016663597053 1.073912688160 6 1 4 7 3012 0132 3012 1023 1 1 1 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 0 0 0 0 0 0 0 -10 -1 11 10 0 -10 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 1.070221137472 0.982135408946 11 8 1 5 0132 1023 0132 1230 1 1 0 0 0 0 -1 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 10 -10 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 0.490921937398 1.653789252880 2 12 4 5 0132 0132 1302 1023 1 1 1 0 0 0 0 0 -1 0 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 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 0 0 0 0.508331798526 0.536956344080 6 9 2 12 1023 1302 0132 3012 1 1 0 0 0 0 0 0 0 0 1 -1 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 -11 11 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417136764519 0.906021116358 3 11 11 8 0132 3120 0132 2031 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727358978002 1.281384067330 12 3 3 4 3012 0132 1023 1023 1 1 0 0 0 0 0 0 1 0 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 -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 0 0 0 -0.014445289710 0.930950253717 6 9 12 9 0132 3120 1302 0132 0 1 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 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 -0.610176366446 0.455363764497 11 7 8 10 2031 0132 1230 1230 1 0 0 1 0 0 1 -1 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 -11 11 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 1.164119724534 1.028291460868 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_3'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : 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_0101_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_1100_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0101_12']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_5'], 's_1_7' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_5'], '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_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0110_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0110_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 23/168*c_1100_0^5 - 53/42*c_1100_0^4 - 11/168*c_1100_0^3 - 247/168*c_1100_0^2 - 3/4*c_1100_0 - 209/42, c_0011_0 - 1, c_0011_10 + 1/4*c_1100_0^5 + 1/4*c_1100_0^4 + 3/4*c_1100_0^3 + 1/2*c_1100_0^2 + 5/4*c_1100_0 + 1/2, c_0011_11 - 1/2*c_1100_0^5 - c_1100_0^4 - c_1100_0^3 - 3/2*c_1100_0^2 - 3/2*c_1100_0 - 3/2, c_0011_4 - 1, c_0101_0 + 1/4*c_1100_0^5 + 1/4*c_1100_0^4 + 3/4*c_1100_0^3 + 1/2*c_1100_0^2 + 1/4*c_1100_0 + 1/2, c_0101_1 - 1, c_0101_10 + 1/4*c_1100_0^5 + 1/4*c_1100_0^4 + 3/4*c_1100_0^3 + 1/2*c_1100_0^2 + 5/4*c_1100_0 + 1/2, c_0101_12 - 1/4*c_1100_0^5 + 1/4*c_1100_0^4 - 1/4*c_1100_0^3 - 1/4*c_1100_0, c_0101_2 + 1/2*c_1100_0^5 + 1/2*c_1100_0^4 + 3/2*c_1100_0^3 + c_1100_0^2 + 5/2*c_1100_0 + 1, c_0101_3 + 1/4*c_1100_0^5 + 1/4*c_1100_0^4 + 3/4*c_1100_0^3 + 1/2*c_1100_0^2 + 5/4*c_1100_0 + 1/2, c_0101_5 + 1/4*c_1100_0^5 + 1/4*c_1100_0^4 + 3/4*c_1100_0^3 + 1/2*c_1100_0^2 + 1/4*c_1100_0 + 1/2, c_0110_5 - 1/4*c_1100_0^5 + 1/4*c_1100_0^4 - 1/4*c_1100_0^3 + c_1100_0^2 - 1/4*c_1100_0 + 1, c_1100_0^6 + c_1100_0^5 + 3*c_1100_0^4 + 2*c_1100_0^3 + 5*c_1100_0^2 + 2*c_1100_0 + 4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0110_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 277507/7168*c_1100_0^8 - 31059/1024*c_1100_0^7 - 2462185/7168*c_1100_0^6 - 846927/3584*c_1100_0^5 - 6671359/7168*c_1100_0^4 - 2095299/3584*c_1100_0^3 - 340637/896*c_1100_0^2 - 769669/1792*c_1100_0 + 2029543/1792, c_0011_0 - 1, c_0011_10 + 1/16*c_1100_0^8 - 3/16*c_1100_0^7 + 3/16*c_1100_0^6 - 9/8*c_1100_0^5 - 9/16*c_1100_0^4 - c_1100_0^3 - 13/8*c_1100_0^2 + 5/2*c_1100_0 + 1/2, c_0011_11 - 3/16*c_1100_0^8 + 1/16*c_1100_0^7 - 13/16*c_1100_0^6 + 3/8*c_1100_0^5 - 5/16*c_1100_0^4 + 1/4*c_1100_0^3 + 13/8*c_1100_0^2 - 5/4*c_1100_0, c_0011_4 + 1, c_0101_0 - 1/8*c_1100_0^7 - 1/8*c_1100_0^6 - 7/8*c_1100_0^5 - 3/4*c_1100_0^4 - 11/8*c_1100_0^3 - c_1100_0^2 + 1/4*c_1100_0 + 1/2, c_0101_1 - 1, c_0101_10 + 1/8*c_1100_0^7 + 1/8*c_1100_0^6 + 7/8*c_1100_0^5 + 3/4*c_1100_0^4 + 11/8*c_1100_0^3 + c_1100_0^2 - 5/4*c_1100_0 - 1/2, c_0101_12 + 1/8*c_1100_0^7 - 1/8*c_1100_0^6 + 5/8*c_1100_0^5 - 1/2*c_1100_0^4 + 3/8*c_1100_0^3 - 1/4*c_1100_0^2 - 5/4*c_1100_0 + 1/2, c_0101_2 + 1/4*c_1100_0^8 + 1/4*c_1100_0^7 + 9/4*c_1100_0^6 + 2*c_1100_0^5 + 25/4*c_1100_0^4 + 5*c_1100_0^3 + 3*c_1100_0^2 + 3*c_1100_0 - 7, c_0101_3 - 1/8*c_1100_0^7 - 1/8*c_1100_0^6 - 7/8*c_1100_0^5 - 3/4*c_1100_0^4 - 11/8*c_1100_0^3 - c_1100_0^2 + 5/4*c_1100_0 + 1/2, c_0101_5 + 1/8*c_1100_0^7 + 1/8*c_1100_0^6 + 7/8*c_1100_0^5 + 3/4*c_1100_0^4 + 11/8*c_1100_0^3 + c_1100_0^2 - 1/4*c_1100_0 - 1/2, c_0110_5 - 1/8*c_1100_0^8 - 1/8*c_1100_0^7 - 7/8*c_1100_0^6 - 3/4*c_1100_0^5 - 11/8*c_1100_0^4 - c_1100_0^3 + 5/4*c_1100_0^2 + 1/2*c_1100_0 + 2, c_1100_0^9 + c_1100_0^8 + 9*c_1100_0^7 + 8*c_1100_0^6 + 25*c_1100_0^5 + 20*c_1100_0^4 + 12*c_1100_0^3 + 12*c_1100_0^2 - 28*c_1100_0 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB