Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 2412647337] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s136 geometric_solution 4.17914517 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348783459249 0.171319331840 2 0 3 0 0132 2310 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 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 0.341395594718 0.963244164939 1 4 3 3 0132 0132 3012 1230 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 0 1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.618250268732 1.578923516561 2 2 4 1 3012 1230 3201 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 0 0 0 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 1.618250268732 1.578923516561 3 2 5 5 2310 0132 3201 0132 0 0 0 0 0 1 0 -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 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 -0.118904151480 0.467141614909 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 -1 1 0 -1 0 0 1 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 -0.883969851278 1.137157715915 ==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_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1172293474/1722312277*c_0101_3^10 - 190383091/246044611*c_0101_3^9 - 21580005/246044611*c_0101_3^8 - 5803575697/1722312277*c_0101_3^7 - 3662477732/1722312277*c_0101_3^6 - 22205212635/1722312277*c_0101_3^5 + 7006078231/1722312277*c_0101_3^4 - 6568089288/1722312277*c_0101_3^3 + 22530288265/1722312277*c_0101_3^2 + 34468009293/1722312277*c_0101_3 - 34650964419/1722312277, c_0011_0 - 1, c_0011_1 - 9661247/246044611*c_0101_3^10 + 11341174/246044611*c_0101_3^9 - 3076836/246044611*c_0101_3^8 + 40783656/246044611*c_0101_3^7 + 36475350/246044611*c_0101_3^6 + 210196992/246044611*c_0101_3^5 - 484437/246044611*c_0101_3^4 + 136832161/246044611*c_0101_3^3 + 36152478/246044611*c_0101_3^2 - 101326050/246044611*c_0101_3 + 204043741/246044611, c_0011_3 + 13826870/246044611*c_0101_3^10 - 5245712/246044611*c_0101_3^9 + 3994289/246044611*c_0101_3^8 - 77189836/246044611*c_0101_3^7 - 104892637/246044611*c_0101_3^6 - 377334891/246044611*c_0101_3^5 - 215309438/246044611*c_0101_3^4 - 474432780/246044611*c_0101_3^3 - 31541885/246044611*c_0101_3^2 + 164699016/246044611*c_0101_3 - 175424024/246044611, c_0011_5 - 9468801/246044611*c_0101_3^10 + 11045765/246044611*c_0101_3^9 - 6319556/246044611*c_0101_3^8 + 47959558/246044611*c_0101_3^7 + 17604088/246044611*c_0101_3^6 + 239065468/246044611*c_0101_3^5 + 12689880/246044611*c_0101_3^4 + 290343201/246044611*c_0101_3^3 - 855826/246044611*c_0101_3^2 - 41555086/246044611*c_0101_3 + 169029958/246044611, c_0101_0 - 1157181/246044611*c_0101_3^10 + 8159912/246044611*c_0101_3^9 - 1960024/246044611*c_0101_3^8 + 23991/246044611*c_0101_3^7 - 35731750/246044611*c_0101_3^6 - 5403425/246044611*c_0101_3^5 - 193236408/246044611*c_0101_3^4 - 41640041/246044611*c_0101_3^3 - 64901069/246044611*c_0101_3^2 + 86247291/246044611*c_0101_3 + 86567498/246044611, c_0101_3^11 - 5*c_0101_3^8 - 9*c_0101_3^7 - 30*c_0101_3^6 - 29*c_0101_3^5 - 41*c_0101_3^4 - 27*c_0101_3^3 + 2*c_0101_3^2 - 18*c_0101_3 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB