Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 425232289] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m214 geometric_solution 4.08884008 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 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 1 0 0 -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 0.158934832272 0.708709984779 0 2 3 2 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.301281055265 1.343449318428 1 3 1 0 3201 1023 2310 0132 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 -1 0 1 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 -0.301281055265 1.343449318428 2 4 4 1 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301429407932 0.357659574290 3 3 4 4 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.384155656975 1.974377641850 ==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_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1062548768/17737321*c_0101_4^9 + 4052741544/17737321*c_0101_4^8 - 1945947940/17737321*c_0101_4^7 - 1526583888/2533903*c_0101_4^6 + 13072108039/17737321*c_0101_4^5 + 3921667752/17737321*c_0101_4^4 - 3129994401/2533903*c_0101_4^3 + 14262007115/17737321*c_0101_4^2 - 1991455672/17737321*c_0101_4 + 357741415/17737321, c_0011_0 - 1, c_0011_2 + 7654368/2533903*c_0101_4^9 + 30722352/2533903*c_0101_4^8 - 6536984/2533903*c_0101_4^7 - 71825496/2533903*c_0101_4^6 + 83824620/2533903*c_0101_4^5 + 35900523/2533903*c_0101_4^4 - 143222890/2533903*c_0101_4^3 + 85849141/2533903*c_0101_4^2 - 14010111/2533903*c_0101_4 + 2044432/2533903, c_0101_0 + 19524104/2533903*c_0101_4^9 + 88829676/2533903*c_0101_4^8 + 32107864/2533903*c_0101_4^7 - 160785711/2533903*c_0101_4^6 + 128271569/2533903*c_0101_4^5 + 146224965/2533903*c_0101_4^4 - 282658799/2533903*c_0101_4^3 + 77612084/2533903*c_0101_4^2 - 12669946/2533903*c_0101_4 + 309467/2533903, c_0101_1 - 20195608/2533903*c_0101_4^9 - 79121852/2533903*c_0101_4^8 + 24694004/2533903*c_0101_4^7 + 186280021/2533903*c_0101_4^6 - 239133382/2533903*c_0101_4^5 - 66302856/2533903*c_0101_4^4 + 388748087/2533903*c_0101_4^3 - 265553351/2533903*c_0101_4^2 + 64569286/2533903*c_0101_4 - 8255775/2533903, c_0101_4^10 + 7/2*c_0101_4^9 - 3*c_0101_4^8 - 75/8*c_0101_4^7 + 123/8*c_0101_4^6 - 1/2*c_0101_4^5 - 171/8*c_0101_4^4 + 20*c_0101_4^3 - 27/4*c_0101_4^2 + 11/8*c_0101_4 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB