Magma V2.19-8 Tue Aug 20 2013 16:08:53 on localhost [Seed = 4172899919] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m077 geometric_solution 3.43959289 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 3 0132 0132 0132 0321 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 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221608455847 0.442581843076 0 4 4 2 0132 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.529430309303 1.258942806127 1 0 3 3 3201 0132 1023 1230 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 -1 1 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221608455847 0.442581843076 2 0 2 0 3012 0321 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 1 -1 0 0 0 -1 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095435060774 1.806537645212 1 1 4 4 2310 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 2.169250286876 0.288625917487 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], '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_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_3']})} 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_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 24240/1879*c_0101_4^6 - 42290/1879*c_0101_4^5 + 23392/1879*c_0101_4^4 + 29890/1879*c_0101_4^3 - 57602/1879*c_0101_4^2 - 55123/1879*c_0101_4 - 16062/1879, c_0011_0 - 1, c_0011_3 + 3144/1879*c_0101_4^6 + 2955/1879*c_0101_4^5 - 5233/1879*c_0101_4^4 - 956/1879*c_0101_4^3 + 9019/1879*c_0101_4^2 + 2467/1879*c_0101_4 - 778/1879, c_0101_0 + 8808/1879*c_0101_4^6 + 8967/1879*c_0101_4^5 - 11763/1879*c_0101_4^4 - 1373/1879*c_0101_4^3 + 19673/1879*c_0101_4^2 + 8274/1879*c_0101_4 + 1937/1879, c_0101_3 + 8800/1879*c_0101_4^6 + 7812/1879*c_0101_4^5 - 11568/1879*c_0101_4^4 - 1667/1879*c_0101_4^3 + 17073/1879*c_0101_4^2 + 8502/1879*c_0101_4 + 2594/1879, c_0101_4^7 + 11/8*c_0101_4^6 - c_0101_4^5 - 3/4*c_0101_4^4 + 17/8*c_0101_4^3 + 7/4*c_0101_4^2 + 1/2*c_0101_4 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB