Magma V2.19-8 Tue Aug 20 2013 16:14:04 on localhost [Seed = 2699115676] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s016 geometric_solution 3.52619599 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.196431268416 0.176657859034 0 0 2 2 0132 3201 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 -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 0.654512806961 0.197590677435 1 3 1 4 2310 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996056844205 0.153740530355 5 2 5 4 0132 0132 3120 1230 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 -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 0.775014910171 0.413320524541 3 5 2 5 3012 3120 0132 1023 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 0.775014910171 0.413320524541 3 4 3 4 0132 3120 3120 1023 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 0 0 0 0 -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 0.775014910171 0.413320524541 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 57582075567/96048039395*c_1001_3^7 + 89234954407/96048039395*c_1001_3^6 + 696691292/1746327989*c_1001_3^5 - 1769115186092/96048039395*c_1001_3^4 + 1379877624737/96048039395*c_1001_3^3 + 1612042782137/13721148485*c_1001_3^2 + 770513599837/19209607879*c_1001_3 - 6197656475911/96048039395, c_0011_0 - 1, c_0011_2 - 770751/249475427*c_1001_3^7 + 3050124/249475427*c_1001_3^6 + 441306/249475427*c_1001_3^5 + 27625007/249475427*c_1001_3^4 - 145709577/249475427*c_1001_3^3 + 108687031/249475427*c_1001_3^2 + 222925278/249475427*c_1001_3 - 180673349/249475427, c_0011_4 + 1480949/249475427*c_1001_3^7 - 3560237/249475427*c_1001_3^6 + 462956/249475427*c_1001_3^5 - 45703063/249475427*c_1001_3^4 + 232482237/249475427*c_1001_3^3 - 128125365/249475427*c_1001_3^2 - 508160677/249475427*c_1001_3 + 284128604/249475427, c_0101_0 - 2580402/249475427*c_1001_3^7 + 231230/249475427*c_1001_3^6 + 950179/249475427*c_1001_3^5 + 87054931/249475427*c_1001_3^4 - 195960877/249475427*c_1001_3^3 - 302564896/249475427*c_1001_3^2 + 317372320/249475427*c_1001_3 + 124608828/249475427, c_0101_1 - 179427/249475427*c_1001_3^7 - 744/249475427*c_1001_3^6 + 2541003/249475427*c_1001_3^5 + 3519801/249475427*c_1001_3^4 - 2502624/249475427*c_1001_3^3 - 87358664/249475427*c_1001_3^2 + 127951250/249475427*c_1001_3 + 121791636/249475427, c_1001_3^8 + c_1001_3^7 - 31*c_1001_3^5 + 41*c_1001_3^4 + 177*c_1001_3^3 - 30*c_1001_3^2 - 123*c_1001_3 + 55 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB