Magma V2.19-8 Tue Aug 20 2013 16:14:58 on localhost [Seed = 3515895242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s950 geometric_solution 5.93016663 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 1 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 -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 0.653262812167 0.880819237111 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -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 0.575359516807 0.717029844531 3 0 4 5 2310 0132 3201 2310 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 1 -1 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 0.575359516807 0.717029844531 3 1 2 3 3012 0132 3201 1230 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 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 0.253569418332 0.892184790333 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -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 -1 1 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 0.907589829129 0.912303529147 2 5 5 1 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616726922903 0.678475102067 ==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_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 2*c_0101_3 - 3, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 + 1, c_0101_1 + c_0101_3, c_0101_2 - c_0101_3, c_0101_3^2 + c_0101_3 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 68923893/4353181*c_0101_3^18 + 82792865/4353181*c_0101_3^17 + 128032520/621883*c_0101_3^16 - 889346789/4353181*c_0101_3^15 - 5333979272/4353181*c_0101_3^14 + 4298698875/4353181*c_0101_3^13 + 18677154876/4353181*c_0101_3^12 - 12307171318/4353181*c_0101_3^11 - 41008440677/4353181*c_0101_3^10 + 3206450292/621883*c_0101_3^9 + 56718248495/4353181*c_0101_3^8 - 25894848722/4353181*c_0101_3^7 - 47958568831/4353181*c_0101_3^6 + 18042934213/4353181*c_0101_3^5 + 23101822806/4353181*c_0101_3^4 - 1022122847/621883*c_0101_3^3 - 5416798929/4353181*c_0101_3^2 + 1370471922/4353181*c_0101_3 + 398616329/4353181, c_0011_0 - 1, c_0011_4 - 676212/621883*c_0101_3^18 + 884060/621883*c_0101_3^17 + 8413158/621883*c_0101_3^16 - 9206204/621883*c_0101_3^15 - 47951172/621883*c_0101_3^14 + 42991670/621883*c_0101_3^13 + 160179959/621883*c_0101_3^12 - 117910947/621883*c_0101_3^11 - 331298552/621883*c_0101_3^10 + 201682532/621883*c_0101_3^9 + 422939298/621883*c_0101_3^8 - 210287345/621883*c_0101_3^7 - 321948094/621883*c_0101_3^6 + 126157274/621883*c_0101_3^5 + 136773342/621883*c_0101_3^4 - 41942873/621883*c_0101_3^3 - 28434934/621883*c_0101_3^2 + 6528775/621883*c_0101_3 + 2316387/621883, c_0101_0 - 465042/621883*c_0101_3^18 + 728406/621883*c_0101_3^17 + 5607879/621883*c_0101_3^16 - 7748992/621883*c_0101_3^15 - 31152504/621883*c_0101_3^14 + 37225415/621883*c_0101_3^13 + 101890961/621883*c_0101_3^12 - 105271009/621883*c_0101_3^11 - 206588602/621883*c_0101_3^10 + 184889379/621883*c_0101_3^9 + 259309527/621883*c_0101_3^8 - 195951740/621883*c_0101_3^7 - 197393552/621883*c_0101_3^6 + 116528997/621883*c_0101_3^5 + 87094831/621883*c_0101_3^4 - 35952771/621883*c_0101_3^3 - 18561143/621883*c_0101_3^2 + 4775868/621883*c_0101_3 + 1314201/621883, c_0101_1 + 46502/621883*c_0101_3^18 - 48277/621883*c_0101_3^17 - 969097/621883*c_0101_3^16 + 886211/621883*c_0101_3^15 + 7908393/621883*c_0101_3^14 - 5847026/621883*c_0101_3^13 - 35617146/621883*c_0101_3^12 + 20551540/621883*c_0101_3^11 + 98055864/621883*c_0101_3^10 - 44364035/621883*c_0101_3^9 - 166438873/621883*c_0101_3^8 + 60172992/621883*c_0101_3^7 + 167400048/621883*c_0101_3^6 - 48390953/621883*c_0101_3^5 - 91071838/621883*c_0101_3^4 + 20325354/621883*c_0101_3^3 + 22641229/621883*c_0101_3^2 - 4090338/621883*c_0101_3 - 1853120/621883, c_0101_2 + c_0101_3^2 - 1, c_0101_3^19 - c_0101_3^18 - 13*c_0101_3^17 + 10*c_0101_3^16 + 77*c_0101_3^15 - 44*c_0101_3^14 - 267*c_0101_3^13 + 112*c_0101_3^12 + 578*c_0101_3^11 - 176*c_0101_3^10 - 786*c_0101_3^9 + 165*c_0101_3^8 + 654*c_0101_3^7 - 83*c_0101_3^6 - 314*c_0101_3^5 + 20*c_0101_3^4 + 78*c_0101_3^3 - c_0101_3^2 - 8*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB