Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 1983375899] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s812 geometric_solution 5.37587720 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 -1 0 1 0 0 -1 1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494698920313 0.273226420177 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 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 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956364429276 0.582264462651 1 4 5 3 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419792255440 0.994332650489 2 5 4 1 3201 1023 1023 0132 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 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419792255440 0.994332650489 4 2 3 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.978573581528 0.907569016889 3 5 5 2 1023 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 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076662157252 0.726581978715 ==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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_0_4' : 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' : d['c_0011_3'], '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' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), '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' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 113/112*c_0101_4^5 + 1177/56*c_0101_4^3 - 507/16*c_0101_4, c_0011_0 - 1, c_0011_1 - 1/16*c_0101_4^4 + 11/8*c_0101_4^2 - 9/16, c_0011_3 - 1/16*c_0101_4^5 + 11/8*c_0101_4^3 - 41/16*c_0101_4, c_0101_0 + 1/8*c_0101_4^5 - 5/2*c_0101_4^3 + 19/8*c_0101_4, c_0101_1 - 1/4*c_0101_4^2 + 3/4, c_0101_4^6 - 21*c_0101_4^4 + 35*c_0101_4^2 - 7 ], 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_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 13*c_0101_4^5 + 43*c_0101_4^3 - 39*c_0101_4, c_0011_0 - 1, c_0011_1 + c_0101_4^4 + 4*c_0101_4^2 - 2, c_0011_3 - c_0101_4^5 - 3*c_0101_4^3 + 3*c_0101_4, c_0101_0 + 2*c_0101_4^5 + 7*c_0101_4^3 - 4*c_0101_4, c_0101_1 + c_0101_4^2, c_0101_4^6 + 3*c_0101_4^4 - 4*c_0101_4^2 + 1 ], 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_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 35029/1488*c_0101_4^11 - 296777/2232*c_0101_4^9 - 560323/744*c_0101_4^7 - 6539485/4464*c_0101_4^5 + 1406147/744*c_0101_4^3 - 2347309/4464*c_0101_4, c_0011_0 - 1, c_0011_1 + 34/279*c_0101_4^10 - 21/31*c_0101_4^8 - 1097/279*c_0101_4^6 - 251/31*c_0101_4^4 + 2341/279*c_0101_4^2 - 77/31, c_0011_3 + 17/62*c_0101_4^11 - 433/279*c_0101_4^9 - 815/93*c_0101_4^7 - 9437/558*c_0101_4^5 + 2120/93*c_0101_4^3 - 3413/558*c_0101_4, c_0101_0 + 101/186*c_0101_4^11 - 283/93*c_0101_4^9 - 1628/93*c_0101_4^7 - 6427/186*c_0101_4^5 + 3886/93*c_0101_4^3 - 647/62*c_0101_4, c_0101_1 + 25/93*c_0101_4^10 - 416/279*c_0101_4^8 - 271/31*c_0101_4^6 - 4922/279*c_0101_4^4 + 1766/93*c_0101_4^2 - 1205/279, c_0101_4^12 - 6*c_0101_4^10 - 30*c_0101_4^8 - 51*c_0101_4^6 + 102*c_0101_4^4 - 51*c_0101_4^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB