Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 2084430532] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m198 geometric_solution 4.05450403 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 1 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 1 -1 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287383555362 0.648785147705 0 2 3 2 0132 3201 0132 2310 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 -1 0 1 -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 -0.065977588496 1.381894644159 1 3 1 0 3201 1023 2310 0132 0 0 0 0 0 0 1 -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 0 1 -1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.065977588496 1.381894644159 2 4 4 1 1023 0132 1023 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 0.326324575854 0.307657989137 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.717275093646 1.066231441221 ==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_4' : d['1'], 's_3_0' : negation(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_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_2']), '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' : 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_0011_2']), 'c_1010_4' : 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' : d['c_0011_0']})} 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: 9 Groebner basis: [ t + 434255/4952*c_0101_4^8 + 187355/1238*c_0101_4^7 - 3090567/1238*c_0101_4^6 + 20328897/4952*c_0101_4^5 + 6948925/4952*c_0101_4^4 - 24768409/4952*c_0101_4^3 - 107725/2476*c_0101_4^2 + 1516800/619*c_0101_4 + 3239761/4952, c_0011_0 - 1, c_0011_2 - 106/619*c_0101_4^8 + 137/619*c_0101_4^7 + 3352/619*c_0101_4^6 - 14271/619*c_0101_4^5 + 19684/619*c_0101_4^4 - 4123/619*c_0101_4^3 - 10990/619*c_0101_4^2 + 5618/619*c_0101_4 + 2197/619, c_0101_0 - 1255/619*c_0101_4^8 - 1654/619*c_0101_4^7 + 36206/619*c_0101_4^6 - 73865/619*c_0101_4^5 + 15350/619*c_0101_4^4 + 55732/619*c_0101_4^3 - 20134/619*c_0101_4^2 - 20764/619*c_0101_4 - 3531/619, c_0101_1 + 1459/619*c_0101_4^8 + 2313/619*c_0101_4^7 - 41711/619*c_0101_4^6 + 74456/619*c_0101_4^5 + 9053/619*c_0101_4^4 - 77661/619*c_0101_4^3 + 7952/619*c_0101_4^2 + 35950/619*c_0101_4 + 8144/619, c_0101_4^9 + 2*c_0101_4^8 - 28*c_0101_4^7 + 39*c_0101_4^6 + 29*c_0101_4^5 - 53*c_0101_4^4 - 16*c_0101_4^3 + 28*c_0101_4^2 + 15*c_0101_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB