Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 3751691224] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s631 geometric_solution 5.11776819 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 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 -2 1 1 0 0 -1 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467063558962 0.266952054938 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 1 -1 0 0 -1 1 -1 -1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919098957511 0.655443247151 1 4 4 5 0132 0132 3201 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774030200889 0.647096532368 5 4 4 1 3201 2310 1023 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 1 0 -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 0.774030200889 0.647096532368 2 2 3 3 2310 0132 1023 3201 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 0 0 1.239548926100 0.635744254412 5 5 2 3 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.509652241504 0.516326665043 ==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_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 8051/12640*c_0101_4^7 - 8341/7584*c_0101_4^6 + 64109/18960*c_0101_4^5 - 158191/37920*c_0101_4^4 - 23789/1896*c_0101_4^3 + 205441/4740*c_0101_4^2 + 18293/948*c_0101_4 - 15929/395, c_0011_0 - 1, c_0011_1 + 7/1264*c_0101_4^7 + 55/1264*c_0101_4^6 - 13/632*c_0101_4^5 - 11/1264*c_0101_4^4 + 115/316*c_0101_4^3 - 157/316*c_0101_4^2 - 16/79*c_0101_4 - 21/79, c_0011_5 - 25/632*c_0101_4^7 + 9/316*c_0101_4^6 + 59/632*c_0101_4^5 - 367/632*c_0101_4^4 + 445/632*c_0101_4^3 + 275/316*c_0101_4^2 - 55/79*c_0101_4 - 8/79, c_0101_0 - 205/3792*c_0101_3*c_0101_4^7 - 437/3792*c_0101_3*c_0101_4^6 + 157/632*c_0101_3*c_0101_4^5 - 1303/3792*c_0101_3*c_0101_4^4 - 1201/948*c_0101_3*c_0101_4^3 + 3221/948*c_0101_3*c_0101_4^2 + 971/474*c_0101_3*c_0101_4 - 190/79*c_0101_3, c_0101_3^2 - 115/1264*c_0101_4^7 + 225/1264*c_0101_4^6 + 33/632*c_0101_4^5 - 1941/1264*c_0101_4^4 + 483/158*c_0101_4^3 - 59/158*c_0101_4^2 - 166/79*c_0101_4 + 108/79, c_0101_4^8 + c_0101_4^7 - 6*c_0101_4^6 + 11*c_0101_4^5 + 12*c_0101_4^4 - 76*c_0101_4^3 + 24*c_0101_4^2 + 48*c_0101_4 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB