Magma V2.19-8 Tue Aug 20 2013 16:14:19 on localhost [Seed = 2732801671] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s294 geometric_solution 4.46179892 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 -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 1.649376205852 0.370056395281 0 2 2 0 3201 0132 1023 0132 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 0 0 0 1 -2 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 0.963207557243 0.647224445631 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 -1 0 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 -1 0 1 -1 0 2 -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 0.432328721527 0.180021701366 2 4 5 4 0132 1302 0132 0321 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793205907065 0.736127306541 5 3 2 3 0132 0321 0132 2031 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793205907065 0.736127306541 4 5 5 3 0132 3201 2310 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928186987274 0.473679840326 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : negation(d['c_0011_4']), '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_4, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 550768071/41267213*c_0101_5^10 + 5851741719/41267213*c_0101_5^9 - 30976235304/41267213*c_0101_5^8 + 14651038551/41267213*c_0101_5^7 + 1716010535/41267213*c_0101_5^6 + 20628952125/41267213*c_0101_5^5 + 5766582613/41267213*c_0101_5^4 - 15463583627/41267213*c_0101_5^3 - 5832771968/41267213*c_0101_5^2 + 2330811268/41267213*c_0101_5 + 2055573586/41267213, c_0011_0 - 1, c_0011_1 + 1438239/3174401*c_0101_5^10 - 16628260/3174401*c_0101_5^9 + 95233582/3174401*c_0101_5^8 - 114515188/3174401*c_0101_5^7 + 34520435/3174401*c_0101_5^6 - 57170320/3174401*c_0101_5^5 + 23976208/3174401*c_0101_5^4 + 62868036/3174401*c_0101_5^3 - 20333032/3174401*c_0101_5^2 - 4995644/3174401*c_0101_5 - 2186295/3174401, c_0011_4 - 8340701/3174401*c_0101_5^10 + 87357288/3174401*c_0101_5^9 - 454639738/3174401*c_0101_5^8 + 138292208/3174401*c_0101_5^7 + 134030120/3174401*c_0101_5^6 + 210991917/3174401*c_0101_5^5 + 173393469/3174401*c_0101_5^4 - 278741196/3174401*c_0101_5^3 - 92807867/3174401*c_0101_5^2 + 62742037/3174401*c_0101_5 + 14235302/3174401, c_0101_0 + 7398258/3174401*c_0101_5^10 - 75212692/3174401*c_0101_5^9 + 378807816/3174401*c_0101_5^8 + 8819042/3174401*c_0101_5^7 - 199955740/3174401*c_0101_5^6 - 170063181/3174401*c_0101_5^5 - 217764636/3174401*c_0101_5^4 + 223613351/3174401*c_0101_5^3 + 147451704/3174401*c_0101_5^2 - 64244908/3174401*c_0101_5 - 19884676/3174401, c_0101_3 - 10745580/3174401*c_0101_5^10 + 112213709/3174401*c_0101_5^9 - 583015299/3174401*c_0101_5^8 + 167930635/3174401*c_0101_5^7 + 137847872/3174401*c_0101_5^6 + 285512949/3174401*c_0101_5^5 + 231671413/3174401*c_0101_5^4 - 326830088/3174401*c_0101_5^3 - 113797247/3174401*c_0101_5^2 + 64422302/3174401*c_0101_5 + 15201942/3174401, c_0101_5^11 - 11*c_0101_5^10 + 60*c_0101_5^9 - 45*c_0101_5^8 - 9*c_0101_5^7 - 14*c_0101_5^6 - 8*c_0101_5^5 + 45*c_0101_5^4 - 7*c_0101_5^3 - 15*c_0101_5^2 + 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB