Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 1949689881] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s812 geometric_solution 5.37587720 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.494698920313 0.273226420177 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 0.956364429276 0.582264462651 1 4 5 3 0132 0132 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419792255440 0.994332650489 2 5 4 1 3201 1023 1023 0132 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 1 0 0 -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 0.419792255440 0.994332650489 4 2 3 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.978573581528 0.907569016889 3 5 5 2 1023 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076662157252 0.726581978715 ==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' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], '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' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_0101_1^2 - c_0101_1 - 8, c_0011_0 - 1, c_0011_1 - c_0101_1^2 + 1, c_0011_3 - c_0101_1^2 + 1, c_0101_0 - c_0101_1, c_0101_1^3 - c_0101_1^2 - 2*c_0101_1 + 1, c_0101_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 3*c_0101_1^2 + c_0101_1 + 8, c_0011_0 - 1, c_0011_1 - c_0101_1^2 + 1, c_0011_3 + c_0101_1^2 - 1, c_0101_0 + c_0101_1, c_0101_1^3 - c_0101_1^2 - 2*c_0101_1 + 1, c_0101_4 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 296991351341/23959998747*c_0101_4^15 - 120856197632/1409411691*c_0101_4^13 + 194674048181/469803897*c_0101_4^11 - 12843161511347/23959998747*c_0101_4^9 + 14988520675594/7986666249*c_0101_4^7 - 151050615965734/23959998747*c_0101_4^5 + 23778450969341/23959998747*c_0101_4^3 - 9770648666098/23959998747*c_0101_4, c_0011_0 - 1, c_0011_1 + 2240012/2662222083*c_0101_4^14 - 1324181/156601299*c_0101_4^12 + 2267818/52200433*c_0101_4^10 - 285452405/2662222083*c_0101_4^8 + 144087672/887407361*c_0101_4^6 - 1885494427/2662222083*c_0101_4^4 + 1794594512/2662222083*c_0101_4^2 + 1113479429/2662222083, c_0011_3 + 998724614/7986666249*c_0101_4^15 - 408461042/469803897*c_0101_4^13 + 659868302/156601299*c_0101_4^11 - 44527044410/7986666249*c_0101_4^9 + 51208288228/2662222083*c_0101_4^7 - 514261183075/7986666249*c_0101_4^5 + 100204330673/7986666249*c_0101_4^3 - 40530308065/7986666249*c_0101_4, c_0101_0 + 1360228783/7986666249*c_0101_4^15 - 554984044/469803897*c_0101_4^13 + 894672985/156601299*c_0101_4^11 - 59571382573/7986666249*c_0101_4^9 + 68857235945/2662222083*c_0101_4^7 - 695344794860/7986666249*c_0101_4^5 + 117416089789/7986666249*c_0101_4^3 - 39193936256/7986666249*c_0101_4, c_0101_1 - 1476495/887407361*c_0101_4^14 + 746453/52200433*c_0101_4^12 - 3888782/52200433*c_0101_4^10 + 137069347/887407361*c_0101_4^8 - 260295856/887407361*c_0101_4^6 + 953562122/887407361*c_0101_4^4 - 1157043141/887407361*c_0101_4^2 + 362454250/887407361, c_0101_4^16 - 7*c_0101_4^14 + 34*c_0101_4^12 - 46*c_0101_4^10 + 155*c_0101_4^8 - 521*c_0101_4^6 + 122*c_0101_4^4 - 40*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB