Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 2917937486] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2008 geometric_solution 5.56159598 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.449685694678 0.707671890918 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.545182770606 0.551335514757 4 3 0 1 2310 3201 0132 1302 0 0 0 0 0 0 -1 1 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 -1 1 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 0.545182770606 0.551335514757 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950971755784 1.056157581913 6 1 2 6 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967871558021 0.608450988938 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491918432207 0.200300486065 4 6 6 4 0132 1230 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.629453660283 0.369794336788 ==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' : 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_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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], '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_0110_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], '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' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], '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_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 177*c_0110_5^3 + 487*c_0110_5^2 - 124*c_0110_5 - 681, c_0011_0 - 1, c_0011_1 + c_0110_5^3 + 2*c_0110_5^2, c_0101_0 + c_0110_5 + 1, c_0101_1 + c_0110_5^2 + 2*c_0110_5, c_0101_4 - c_0110_5^2 - 2*c_0110_5 - 1, c_0101_6 + c_0110_5^2 + 3*c_0110_5 + 1, c_0110_5^4 + 3*c_0110_5^3 - 4*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 872196488027/754075136*c_0110_5^11 + 3691233592377/754075136*c_0110_5^10 - 1740276839967/188518784*c_0110_5^9 + 6910726272335/377037568*c_0110_5^8 + 2908121908491/754075136*c_0110_5^7 - 196090298527/94259392*c_0110_5^6 + 1242999698595/754075136*c_0110_5^5 - 27616587846997/377037568*c_0110_5^4 - 19448474869281/754075136*c_0110_5^3 + 7906516254455/188518784*c_0110_5^2 + 21434949956471/754075136*c_0110_5 + 3701738744765/754075136, c_0011_0 - 1, c_0011_1 - 7206099/1472803*c_0110_5^11 + 31499516/1472803*c_0110_5^10 - 62063700/1472803*c_0110_5^9 + 123651736/1472803*c_0110_5^8 + 4974211/1472803*c_0110_5^7 - 9890966/1472803*c_0110_5^6 + 9946022/1472803*c_0110_5^5 - 457344365/1472803*c_0110_5^4 - 97748353/1472803*c_0110_5^3 + 264802735/1472803*c_0110_5^2 + 142189362/1472803*c_0110_5 + 18912706/1472803, c_0101_0 - 2691811/1472803*c_0110_5^11 + 11069493/1472803*c_0110_5^10 - 19998803/1472803*c_0110_5^9 + 39589675/1472803*c_0110_5^8 + 15003669/1472803*c_0110_5^7 - 5652826/1472803*c_0110_5^6 + 2875762/1472803*c_0110_5^5 - 170312799/1472803*c_0110_5^4 - 80499681/1472803*c_0110_5^3 + 97567329/1472803*c_0110_5^2 + 81385750/1472803*c_0110_5 + 15200733/1472803, c_0101_1 - 7418709/1472803*c_0110_5^11 + 31909024/1472803*c_0110_5^10 - 61433771/1472803*c_0110_5^9 + 121924076/1472803*c_0110_5^8 + 16055673/1472803*c_0110_5^7 - 13955807/1472803*c_0110_5^6 + 11079473/1472803*c_0110_5^5 - 470533805/1472803*c_0110_5^4 - 134451704/1472803*c_0110_5^3 + 277150324/1472803*c_0110_5^2 + 163427422/1472803*c_0110_5 + 23783740/1472803, c_0101_4 + 14003398/1472803*c_0110_5^11 - 61733108/1472803*c_0110_5^10 + 123059958/1472803*c_0110_5^9 - 245497812/1472803*c_0110_5^8 + 484759/1472803*c_0110_5^7 + 17486230/1472803*c_0110_5^6 - 22288406/1472803*c_0110_5^5 + 892528661/1472803*c_0110_5^4 + 153841746/1472803*c_0110_5^3 - 507040359/1472803*c_0110_5^2 - 255764929/1472803*c_0110_5 - 32312890/1472803, c_0101_6 + 5329125/1472803*c_0110_5^11 - 24028389/1472803*c_0110_5^10 + 49460078/1472803*c_0110_5^9 - 99515872/1472803*c_0110_5^8 + 12886003/1472803*c_0110_5^7 - 224753/1472803*c_0110_5^6 - 4614615/1472803*c_0110_5^5 + 338745897/1472803*c_0110_5^4 + 25330404/1472803*c_0110_5^3 - 182108672/1472803*c_0110_5^2 - 86895956/1472803*c_0110_5 - 10805773/1472803, c_0110_5^12 - 4*c_0110_5^11 + 7*c_0110_5^10 - 14*c_0110_5^9 - 7*c_0110_5^8 + c_0110_5^7 - c_0110_5^6 + 63*c_0110_5^5 + 37*c_0110_5^4 - 31*c_0110_5^3 - 33*c_0110_5^2 - 10*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB