Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 997893914] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s249 geometric_solution 4.41456144 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 0213 0132 0132 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 1 0 -1 1 0 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301067317631 1.505710766790 0 3 0 2 0132 1302 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872310418640 0.638606604574 4 4 1 0 0132 3201 2031 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 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 0.064577070053 0.263688040558 5 5 0 1 0132 2310 0132 2031 0 0 0 0 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 -2 1 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 -0.926531768411 1.257854010370 2 4 2 4 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.749095007432 3.751213418144 3 5 5 3 0132 1230 3012 3201 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 -1 -1 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.051780008504 0.574912991658 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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_3']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : negation(d['c_1010_1']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], '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' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_2, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 362955437517/6643391967044*c_1010_1^10 + 887925396375/1898111990584*c_1010_1^9 + 3085245753409/3321695983522*c_1010_1^8 + 1644924466691/949055995292*c_1010_1^7 - 10843805731827/3321695983522*c_1010_1^6 - 105133832088127/13286783934088*c_1010_1^5 - 70181030308971/3321695983522*c_1010_1^4 - 8414479985807/949055995292*c_1010_1^3 - 85435121260077/13286783934088*c_1010_1^2 + 64531000246831/6643391967044*c_1010_1 - 15988595538091/1660847991761, c_0011_0 - 1, c_0011_2 + 4195570535/949055995292*c_1010_1^10 + 48329668821/949055995292*c_1010_1^9 + 46819351723/237263998823*c_1010_1^8 + 105169056404/237263998823*c_1010_1^7 + 267083560293/949055995292*c_1010_1^6 - 1029276667691/949055995292*c_1010_1^5 - 2032902497825/474527997646*c_1010_1^4 - 6381877209999/949055995292*c_1010_1^3 - 6137426645483/949055995292*c_1010_1^2 - 334936409786/237263998823*c_1010_1 + 112139563291/237263998823, c_0011_3 + 897595/156043406*c_1010_1^10 + 18232223/312086812*c_1010_1^9 + 28898467/156043406*c_1010_1^8 + 65792719/156043406*c_1010_1^7 + 11654617/78021703*c_1010_1^6 - 334214333/312086812*c_1010_1^5 - 637619543/156043406*c_1010_1^4 - 999860845/156043406*c_1010_1^3 - 1893539491/312086812*c_1010_1^2 - 156572318/78021703*c_1010_1 + 104336751/78021703, c_0101_0 + 15128287785/949055995292*c_1010_1^10 + 70542241797/474527997646*c_1010_1^9 + 176459020981/474527997646*c_1010_1^8 + 325039387709/474527997646*c_1010_1^7 - 572146099223/949055995292*c_1010_1^6 - 1444989123291/474527997646*c_1010_1^5 - 1834679321989/237263998823*c_1010_1^4 - 6892585560505/949055995292*c_1010_1^3 - 874340058110/237263998823*c_1010_1^2 + 312676236809/237263998823*c_1010_1 + 257093471557/237263998823, c_0101_2 - 19399850219/1898111990584*c_1010_1^10 - 49807396987/474527997646*c_1010_1^9 - 311632869219/949055995292*c_1010_1^8 - 626093870167/949055995292*c_1010_1^7 + 15844244373/1898111990584*c_1010_1^6 + 561909101079/237263998823*c_1010_1^5 + 3223768440177/474527997646*c_1010_1^4 + 16754360956411/1898111990584*c_1010_1^3 + 5717782824813/949055995292*c_1010_1^2 + 548456431811/474527997646*c_1010_1 - 194605975129/237263998823, c_1010_1^11 + 10*c_1010_1^10 + 30*c_1010_1^9 + 62*c_1010_1^8 - 3*c_1010_1^7 - 210*c_1010_1^6 - 640*c_1010_1^5 - 825*c_1010_1^4 - 620*c_1010_1^3 - 76*c_1010_1^2 + 112*c_1010_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB