Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 880125969] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s116 geometric_solution 4.04687940 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 -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 2.002557139975 0.460489048059 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 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 0.231112005956 1.031237888062 4 1 3 3 0132 0132 1302 2031 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 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 0.315298120604 0.326453790841 2 2 4 1 2031 1302 2310 0132 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 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 0.315298120604 0.326453790841 2 3 5 5 0132 3201 2310 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 -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 -0.379034584413 2.081154288622 5 4 4 5 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -0.440467584555 0.527934287682 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], '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_4'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 512649/14248*c_0101_4^8 - 3007689/14248*c_0101_4^7 - 2954673/7124*c_0101_4^6 - 1303433/3562*c_0101_4^5 + 381655/7124*c_0101_4^4 + 4905211/14248*c_0101_4^3 + 6716719/14248*c_0101_4^2 + 3576175/14248*c_0101_4 + 1705985/14248, c_0011_0 - 1, c_0011_3 - 6909/1096*c_0101_4^8 - 41535/1096*c_0101_4^7 - 43171/548*c_0101_4^6 - 21469/274*c_0101_4^5 - 2257/548*c_0101_4^4 + 69291/1096*c_0101_4^3 + 109501/1096*c_0101_4^2 + 64539/1096*c_0101_4 + 29475/1096, c_0011_5 + 5475/1096*c_0101_4^8 + 16641/548*c_0101_4^7 + 17533/274*c_0101_4^6 + 8707/137*c_0101_4^5 + 1123/548*c_0101_4^4 - 58699/1096*c_0101_4^3 - 21651/274*c_0101_4^2 - 51165/1096*c_0101_4 - 5461/274, c_0101_0 - 3597/548*c_0101_4^8 - 43281/1096*c_0101_4^7 - 44609/548*c_0101_4^6 - 21299/274*c_0101_4^5 + 463/274*c_0101_4^4 + 9377/137*c_0101_4^3 + 107813/1096*c_0101_4^2 + 30651/548*c_0101_4 + 25587/1096, c_0101_1 + 1761/1096*c_0101_4^8 + 10239/1096*c_0101_4^7 + 9703/548*c_0101_4^6 + 3759/274*c_0101_4^5 - 3043/548*c_0101_4^4 - 17103/1096*c_0101_4^3 - 19397/1096*c_0101_4^2 - 8887/1096*c_0101_4 - 3395/1096, c_0101_4^9 + 5*c_0101_4^8 + 19/3*c_0101_4^7 - 2/3*c_0101_4^6 - 38/3*c_0101_4^5 - 11*c_0101_4^4 - 5*c_0101_4^3 + 22/3*c_0101_4^2 + 17/3*c_0101_4 + 13/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB