Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 3667609098] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1190 geometric_solution 5.07040383 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.461967849887 1.104890957237 3 2 4 0 0132 3012 0132 0132 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 -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 1.150286067395 1.112883321541 1 3 0 4 1230 2310 0132 2310 0 0 0 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 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 1.150286067395 1.112883321541 1 5 5 2 0132 0132 1023 3201 0 0 0 0 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 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 0.831336233780 0.332616526666 2 6 6 1 3201 0132 3201 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 -1 0 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 -0.007278475376 0.352363817192 5 3 3 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 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 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 1.435661283396 0.476128190620 4 4 6 6 2310 0132 1230 3012 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 -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 2.429413319251 0.992283135257 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_0' : negation(d['1']), '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_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' : d['1'], 's_0_6' : 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' : negation(d['1']), 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1086/1595*c_0101_6^5 + 403/145*c_0101_6^4 + 1874/319*c_0101_6^3 + 219/29*c_0101_6^2 + 10173/1595*c_0101_6 + 7929/1595, c_0011_0 - 1, c_0011_1 + 3/29*c_0101_6^5 + 8/29*c_0101_6^4 + 23/29*c_0101_6^3 + 38/29*c_0101_6^2 + 41/29*c_0101_6 + 34/29, c_0011_4 - 7/29*c_0101_6^5 - 38/29*c_0101_6^4 - 73/29*c_0101_6^3 - 79/29*c_0101_6^2 - 57/29*c_0101_6 - 31/29, c_0101_0 - 1/29*c_0101_6^5 + 7/29*c_0101_6^4 + 31/29*c_0101_6^3 + 55/29*c_0101_6^2 + 54/29*c_0101_6 + 37/29, c_0101_1 + 3/29*c_0101_6^5 + 8/29*c_0101_6^4 + 23/29*c_0101_6^3 + 38/29*c_0101_6^2 + 12/29*c_0101_6 + 5/29, c_0101_5 - 5/29*c_0101_6^5 - 23/29*c_0101_6^4 - 48/29*c_0101_6^3 - 73/29*c_0101_6^2 - 78/29*c_0101_6 - 47/29, c_0101_6^6 + 4*c_0101_6^5 + 8*c_0101_6^4 + 10*c_0101_6^3 + 8*c_0101_6^2 + 7*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 459/8*c_0101_6^5 + 321/4*c_0101_6^4 + 2233/20*c_0101_6^3 + 696/5*c_0101_6^2 + 1993/20*c_0101_6 + 767/10, c_0011_0 - 1, c_0011_1 + 3/2*c_0101_6^5 + 5/2*c_0101_6^4 + 27/10*c_0101_6^3 + 3*c_0101_6^2 + 13/5*c_0101_6 + 6/5, c_0011_4 + c_0101_6^5 + 3/2*c_0101_6^4 + 33/10*c_0101_6^3 + 16/5*c_0101_6^2 + 13/5*c_0101_6 + 8/5, c_0101_0 + c_0101_6^5 + 3/2*c_0101_6^4 + 33/10*c_0101_6^3 + 16/5*c_0101_6^2 + 13/5*c_0101_6 + 8/5, c_0101_1 + c_0101_6^4 + c_0101_6^3 + 14/5*c_0101_6^2 + 14/5*c_0101_6 + 6/5, c_0101_5 + c_0101_6, c_0101_6^6 + 2*c_0101_6^5 + 14/5*c_0101_6^4 + 18/5*c_0101_6^3 + 16/5*c_0101_6^2 + 12/5*c_0101_6 + 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB