Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 1141233764] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s235 geometric_solution 4.39667280 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 1 0132 0132 0132 3012 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 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 -0.043315430435 0.641199658057 0 4 0 2 0132 0132 1230 1230 0 0 0 0 0 0 0 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695708693932 0.427567889483 1 0 4 3 3012 0132 3201 1230 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 -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 1.677958157988 0.157779737871 2 5 5 0 3012 0132 1023 0132 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 0 0 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 0.326150206163 1.069071899876 2 1 5 5 2310 0132 1302 0213 0 0 0 0 0 0 0 0 0 0 0 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 0 0 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 0.738931273197 0.855744483637 4 3 3 4 2031 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.738931273197 0.855744483637 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : 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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_0101_2, c_0101_3, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 11/21968*c_1001_1^6 - 1257/21968*c_1001_1^4 + 723/10984*c_1001_1^2 - 32715/21968, c_0011_0 - 1, c_0011_3 - 99/10984*c_1001_1^7 + 329/10984*c_1001_1^5 - 1015/5492*c_1001_1^3 + 8851/10984*c_1001_1, c_0101_2 - 32/1373*c_1001_1^6 + 37/1373*c_1001_1^4 - 462/1373*c_1001_1^2 - 315/1373, c_0101_3 - 32/1373*c_1001_1^6 + 37/1373*c_1001_1^4 - 462/1373*c_1001_1^2 - 315/1373, c_0101_5 + 7/1373*c_1001_1^6 - 51/1373*c_1001_1^4 - 328/1373*c_1001_1^2 - 1347/1373, c_1001_1^8 - 3*c_1001_1^6 + 34*c_1001_1^4 - 57*c_1001_1^2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB