Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 2017059943] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s663 geometric_solution 5.15580019 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2103 0132 0132 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 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 1.422532372403 1.356662429281 0 0 5 4 0132 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518434137285 1.002724031744 4 5 3 0 0132 1230 2310 0132 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 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 0.329535987312 0.297593351441 4 2 0 4 1302 3201 0132 0213 0 0 0 0 0 -1 0 1 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 -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 -0.085375211288 1.142510356832 2 3 1 3 0132 2031 0132 0213 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914624788712 1.142510356832 5 5 2 1 1302 2031 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 -1 1 0 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.044614310031 0.575678399317 ==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_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_1001_2']), 'c_1010_2' : negation(d['c_0011_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 16235341709/23227254710*c_1001_2^6 + 52227245822/11613627355*c_1001_2^5 + 6562994769/422313722*c_1001_2^4 + 1740060006603/23227254710*c_1001_2^3 + 1600383496178/11613627355*c_1001_2^2 + 2486189156478/11613627355*c_1001_2 + 1686337084181/11613627355, c_0011_0 - 1, c_0011_2 - 65/17177*c_1001_2^6 + 486/17177*c_1001_2^5 + 1700/17177*c_1001_2^4 - 191/17177*c_1001_2^3 - 3149/17177*c_1001_2^2 - 23120/17177*c_1001_2 - 22837/17177, c_0011_3 - 226202/11113519*c_1001_2^6 + 1211396/11113519*c_1001_2^5 + 6687696/11113519*c_1001_2^4 + 30273998/11113519*c_1001_2^3 + 60094440/11113519*c_1001_2^2 + 91102922/11113519*c_1001_2 + 41445218/11113519, c_0101_0 - 34254/11113519*c_1001_2^6 + 272763/11113519*c_1001_2^5 + 183689/11113519*c_1001_2^4 + 4578625/11113519*c_1001_2^3 + 2252389/11113519*c_1001_2^2 + 17224461/11113519*c_1001_2 + 7001068/11113519, c_0101_2 - 251601/11113519*c_1001_2^6 + 1959687/11113519*c_1001_2^5 + 3222891/11113519*c_1001_2^4 + 19732493/11113519*c_1001_2^3 + 23716643/11113519*c_1001_2^2 + 41208574/11113519*c_1001_2 + 21982558/11113519, c_1001_2^7 - 6*c_1001_2^6 - 25*c_1001_2^5 - 117*c_1001_2^4 - 244*c_1001_2^3 - 394*c_1001_2^2 - 343*c_1001_2 - 95 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB