Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 4240269889] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m248 geometric_solution 4.22446260 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 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 -0.157733679302 1.102385963344 0 2 0 3 0132 2310 1023 2310 0 0 0 0 0 -1 1 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 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 -0.157733679302 1.102385963344 2 0 2 1 2310 0132 3201 3201 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 1 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127190760830 0.888924356718 1 4 0 4 3201 0132 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637746589919 1.283732855604 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315270631680 0.233712784808 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : 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_0110_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_3, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 7145833728/706082783*c_0110_4^13 + 10589258048/706082783*c_0110_4^12 - 76058881536/706082783*c_0110_4^11 - 33434219696/706082783*c_0110_4^10 + 309750156048/706082783*c_0110_4^9 - 15469134168/100868969*c_0110_4^8 - 473328790820/706082783*c_0110_4^7 + 60049952347/100868969*c_0110_4^6 + 122384526862/706082783*c_0110_4^5 - 212331607337/706082783*c_0110_4^4 - 12345638171/706082783*c_0110_4^3 + 7743495742/100868969*c_0110_4^2 + 1705241940/706082783*c_0110_4 - 8017530200/706082783, c_0011_0 - 1, c_0011_3 + 835340608/100868969*c_0110_4^13 + 2148154408/100868969*c_0110_4^12 - 6606841892/100868969*c_0110_4^11 - 11521684608/100868969*c_0110_4^10 + 23211351349/100868969*c_0110_4^9 + 14913665091/100868969*c_0110_4^8 - 35725243996/100868969*c_0110_4^7 + 5138589809/100868969*c_0110_4^6 + 13843437194/100868969*c_0110_4^5 - 4161050706/100868969*c_0110_4^4 - 2820435523/100868969*c_0110_4^3 + 976922178/100868969*c_0110_4^2 + 61394030/100868969*c_0110_4 - 110458260/100868969, c_0101_0 - 1529375264/100868969*c_0110_4^13 - 3918558616/100868969*c_0110_4^12 + 12030176868/100868969*c_0110_4^11 + 20568045820/100868969*c_0110_4^10 - 42398338045/100868969*c_0110_4^9 - 24794445253/100868969*c_0110_4^8 + 65455479770/100868969*c_0110_4^7 - 13557798538/100868969*c_0110_4^6 - 24958033032/100868969*c_0110_4^5 + 9745351020/100868969*c_0110_4^4 + 4895014687/100868969*c_0110_4^3 - 2151121307/100868969*c_0110_4^2 - 348183753/100868969*c_0110_4 + 265712895/100868969, c_0101_2 + 1388477016/100868969*c_0110_4^13 + 4710521420/100868969*c_0110_4^12 - 7582496700/100868969*c_0110_4^11 - 26822762925/100868969*c_0110_4^10 + 19729469628/100868969*c_0110_4^9 + 49643196088/100868969*c_0110_4^8 - 28835229324/100868969*c_0110_4^7 - 31662410015/100868969*c_0110_4^6 + 14324763013/100868969*c_0110_4^5 + 14386903570/100868969*c_0110_4^4 - 4411771782/100868969*c_0110_4^3 - 4033639975/100868969*c_0110_4^2 + 151905057/100868969*c_0110_4 + 340774054/100868969, c_0110_4^14 + 5/2*c_0110_4^13 - 17/2*c_0110_4^12 - 115/8*c_0110_4^11 + 127/4*c_0110_4^10 + 179/8*c_0110_4^9 - 54*c_0110_4^8 - 11/8*c_0110_4^7 + 127/4*c_0110_4^6 - 27/8*c_0110_4^5 - 21/2*c_0110_4^4 + c_0110_4^3 + 2*c_0110_4^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB