Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 3920131921] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m216 geometric_solution 4.09741606 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 -0.404980609909 0.812157885300 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 1 -1 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 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 -0.552348796353 0.892638453363 3 3 4 0 1023 2031 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 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336067122332 0.595564887321 2 2 0 4 1302 1023 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 1 -1 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 0.336067122332 0.595564887321 3 4 4 2 3201 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.281352973271 1.273557890840 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0101_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_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3697/19576*c_0101_4^9 - 3737/9788*c_0101_4^8 + 18845/4894*c_0101_4^7 + 36047/19576*c_0101_4^6 - 237553/9788*c_0101_4^5 + 49175/2447*c_0101_4^4 - 133717/19576*c_0101_4^3 + 594347/19576*c_0101_4^2 - 3745/2447*c_0101_4 - 66155/2447, c_0011_0 - 1, c_0011_2 + 2/17129*c_0101_4^9 + 1903/17129*c_0101_4^8 - 2375/34258*c_0101_4^7 - 46209/34258*c_0101_4^6 + 10357/4894*c_0101_4^5 - 6698/17129*c_0101_4^4 + 5254/2447*c_0101_4^3 - 29528/17129*c_0101_4^2 - 75213/34258*c_0101_4 + 6054/17129, c_0011_4 - 9629/68516*c_0101_4^9 + 5293/34258*c_0101_4^8 + 60159/34258*c_0101_4^7 - 243199/68516*c_0101_4^6 + 1831/2447*c_0101_4^5 - 27290/17129*c_0101_4^4 + 26173/9788*c_0101_4^3 + 248791/68516*c_0101_4^2 - 34917/34258*c_0101_4 - 11203/17129, c_0101_0 - 957/68516*c_0101_4^9 + 1454/17129*c_0101_4^8 + 1811/17129*c_0101_4^7 - 82629/68516*c_0101_4^6 + 4354/2447*c_0101_4^5 - 8097/17129*c_0101_4^4 + 11265/9788*c_0101_4^3 - 105051/68516*c_0101_4^2 - 66027/34258*c_0101_4 + 8055/17129, c_0101_4^10 - 2*c_0101_4^9 - 12*c_0101_4^8 + 37*c_0101_4^7 - 22*c_0101_4^6 + 4*c_0101_4^5 - 27*c_0101_4^4 - 15*c_0101_4^3 + 44*c_0101_4^2 + 4*c_0101_4 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB