Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 1259001672] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s439 geometric_solution 4.75170197 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389223010421 0.222238408737 2 0 3 0 0132 2310 0132 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673230370803 0.884061234093 1 4 3 3 0132 0132 3012 1230 0 0 0 0 0 0 1 -1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280896351866 1.274407846935 2 2 4 1 3012 1230 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 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 1.280896351866 1.274407846935 5 2 5 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673230370803 0.884061234093 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 1 0 -1 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 0.389223010421 0.222238408737 ==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_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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' : d['1'], 's_1_3' : 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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(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' : d['c_0011_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), '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' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), '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_3, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 55171/1472*c_0101_4^12 + 67785/736*c_0101_4^11 - 466471/1472*c_0101_4^10 + 121709/1472*c_0101_4^9 + 3948223/1472*c_0101_4^8 - 4666181/1472*c_0101_4^7 - 681403/92*c_0101_4^6 + 14046501/1472*c_0101_4^5 - 1826351/1472*c_0101_4^4 - 4316969/1472*c_0101_4^3 + 1759275/1472*c_0101_4^2 + 232765/736*c_0101_4 - 163127/1472, c_0011_0 - 1, c_0011_1 + 325/184*c_0101_4^12 + 1625/368*c_0101_4^11 - 5397/368*c_0101_4^10 + 159/46*c_0101_4^9 + 46371/368*c_0101_4^8 - 26445/184*c_0101_4^7 - 129019/368*c_0101_4^6 + 158345/368*c_0101_4^5 - 9711/184*c_0101_4^4 - 48615/368*c_0101_4^3 + 4823/92*c_0101_4^2 + 4199/368*c_0101_4 - 1691/368, c_0011_3 + 1743/368*c_0101_4^12 + 4461/368*c_0101_4^11 - 7095/184*c_0101_4^10 + 2735/368*c_0101_4^9 + 62231/184*c_0101_4^8 - 135279/368*c_0101_4^7 - 350947/368*c_0101_4^6 + 202891/184*c_0101_4^5 - 41361/368*c_0101_4^4 - 65229/184*c_0101_4^3 + 48193/368*c_0101_4^2 + 12735/368*c_0101_4 - 1113/92, c_0101_0 + 39/184*c_0101_3*c_0101_4^12 + 57/368*c_0101_3*c_0101_4^11 - 977/368*c_0101_3*c_0101_4^10 + 339/92*c_0101_3*c_0101_4^9 + 5191/368*c_0101_3*c_0101_4^8 - 8123/184*c_0101_3*c_0101_4^7 - 2939/368*c_0101_3*c_0101_4^6 + 45525/368*c_0101_3*c_0101_4^5 - 19753/184*c_0101_3*c_0101_4^4 + 1517/368*c_0101_3*c_0101_4^3 + 1139/46*c_0101_3*c_0101_4^2 - 2729/368*c_0101_3*c_0101_4 - 823/368*c_0101_3, c_0101_3^2 - 325/368*c_0101_4^12 - 847/368*c_0101_4^11 + 643/92*c_0101_4^10 - 429/368*c_0101_4^9 - 11495/184*c_0101_4^8 + 23731/368*c_0101_4^7 + 65395/368*c_0101_4^6 - 35061/184*c_0101_4^5 + 5985/368*c_0101_4^4 + 2899/46*c_0101_4^3 - 8519/368*c_0101_4^2 - 2341/368*c_0101_4 + 325/184, c_0101_4^13 + 3*c_0101_4^12 - 7*c_0101_4^11 - 2*c_0101_4^10 + 72*c_0101_4^9 - 46*c_0101_4^8 - 235*c_0101_4^7 + 143*c_0101_4^6 + 78*c_0101_4^5 - 84*c_0101_4^4 - 6*c_0101_4^3 + 19*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB