Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 3684321272] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s274 geometric_solution 4.44153692 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 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 1.529812784056 0.385196416511 0 2 2 0 3201 0132 1023 0132 0 0 0 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 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 0.943681437586 0.443918402380 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -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 -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 0.587709932427 0.193886946488 2 4 5 4 0132 0321 0132 3201 0 0 0 0 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 0 0 0 0 -1 1 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 0.692529543101 1.259959663916 5 3 2 3 0132 2310 0132 0321 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 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 0 0 0 0.692529543101 1.259959663916 4 5 5 3 0132 1230 3012 0132 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 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 0.053213651115 0.457060782781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 81/25*c_0101_3^4 - 41/5*c_0101_3^3 + 23/5*c_0101_3^2 - 1048/25*c_0101_3 + 747/25, c_0011_0 - 1, c_0011_1 + 1/25*c_0101_3^4 + 1/5*c_0101_3^3 + 2/5*c_0101_3^2 + 8/25*c_0101_3 + 13/25, c_0011_4 - 4/25*c_0101_3^4 - 3/5*c_0101_3^3 - 1/5*c_0101_3^2 - 37/25*c_0101_3 + 3/25, c_0101_0 + 8/25*c_0101_3^4 + c_0101_3^3 + 104/25*c_0101_3 - 11/25, c_0101_2 + 4/25*c_0101_3^4 + 2/5*c_0101_3^3 - 1/5*c_0101_3^2 + 42/25*c_0101_3 - 8/25, c_0101_3^5 + 3*c_0101_3^4 + 13*c_0101_3^2 - 3*c_0101_3 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 371771/133783*c_0101_3^6 + 2779818/133783*c_0101_3^5 - 19715562/133783*c_0101_3^4 + 39616649/133783*c_0101_3^3 - 26234749/133783*c_0101_3^2 - 582043/10291*c_0101_3 + 11084328/133783, c_0011_0 - 1, c_0011_1 - 1253/10291*c_0101_3^6 - 10831/10291*c_0101_3^5 + 55144/10291*c_0101_3^4 - 57275/10291*c_0101_3^3 - 32152/10291*c_0101_3^2 + 46477/10291*c_0101_3 + 23251/10291, c_0011_4 - 4102/10291*c_0101_3^6 - 38275/10291*c_0101_3^5 + 151609/10291*c_0101_3^4 - 112937/10291*c_0101_3^3 - 138775/10291*c_0101_3^2 + 116164/10291*c_0101_3 + 64447/10291, c_0101_0 - 3003/10291*c_0101_3^6 - 30040/10291*c_0101_3^5 + 92779/10291*c_0101_3^4 - 3600/10291*c_0101_3^3 - 193880/10291*c_0101_3^2 + 84023/10291*c_0101_3 + 82918/10291, c_0101_2 + 3425/10291*c_0101_3^6 + 29803/10291*c_0101_3^5 - 144959/10291*c_0101_3^4 + 189714/10291*c_0101_3^3 - 10729/10291*c_0101_3^2 - 84950/10291*c_0101_3 - 5193/10291, c_0101_3^7 + 8*c_0101_3^6 - 49*c_0101_3^5 + 80*c_0101_3^4 - 19*c_0101_3^3 - 52*c_0101_3^2 + 19*c_0101_3 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB