Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 172725803] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s335 geometric_solution 4.52693864 oriented_manifold CS_known 0.0000000000000000 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 0.456948372977 0.164464227686 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 0.605600721396 0.532860428045 1 4 3 3 0132 0132 3012 2310 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 0 -1 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 0.698560780450 1.416691983641 2 2 4 1 3201 1230 3201 0132 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698560780450 1.416691983641 3 2 5 5 2310 0132 3201 0132 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 0 0 0 1 0 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 -0.815477395914 0.971430352462 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 1 -1 0 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 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 -0.375173553043 0.804784697769 ==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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), '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_1'], 'c_0101_4' : d['c_0011_3'], '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_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' : 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' : 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_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), '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_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1670/137*c_0101_1^13 - 1164/137*c_0101_1^12 + 494/137*c_0101_1^11 - 3125/137*c_0101_1^10 - 9703/137*c_0101_1^9 - 12631/137*c_0101_1^8 - 13340/137*c_0101_1^7 - 3879/137*c_0101_1^6 - 3243/137*c_0101_1^5 + 10666/137*c_0101_1^4 + 12499/137*c_0101_1^3 - 534/137*c_0101_1^2 - 2086/137*c_0101_1 - 155/137, c_0011_0 - 1, c_0011_1 + 303/274*c_0101_1^13 - 59/137*c_0101_1^12 + 3/274*c_0101_1^11 - 519/274*c_0101_1^10 - 1965/274*c_0101_1^9 - 2807/274*c_0101_1^8 - 1517/137*c_0101_1^7 - 1223/274*c_0101_1^6 - 241/137*c_0101_1^5 + 2117/274*c_0101_1^4 + 3271/274*c_0101_1^3 + 403/137*c_0101_1^2 - 493/274*c_0101_1 - 547/274, c_0011_3 - 2021/274*c_0101_1^13 + 630/137*c_0101_1^12 - 861/274*c_0101_1^11 + 4555/274*c_0101_1^10 + 11297/274*c_0101_1^9 + 17311/274*c_0101_1^8 + 9035/137*c_0101_1^7 + 6035/274*c_0101_1^6 + 1900/137*c_0101_1^5 - 15191/274*c_0101_1^4 - 15671/274*c_0101_1^3 - 2088/137*c_0101_1^2 + 3943/274*c_0101_1 + 3001/274, c_0011_5 - 279/137*c_0101_1^13 + 395/274*c_0101_1^12 - 327/274*c_0101_1^11 + 680/137*c_0101_1^10 + 2931/274*c_0101_1^9 + 2350/137*c_0101_1^8 + 4783/274*c_0101_1^7 + 1513/274*c_0101_1^6 + 650/137*c_0101_1^5 - 2146/137*c_0101_1^4 - 3627/274*c_0101_1^3 - 498/137*c_0101_1^2 + 633/137*c_0101_1 + 713/274, c_0101_0 + 2207/274*c_0101_1^13 - 673/137*c_0101_1^12 + 833/274*c_0101_1^11 - 4917/274*c_0101_1^10 - 12411/274*c_0101_1^9 - 18969/274*c_0101_1^8 - 9718/137*c_0101_1^7 - 6037/274*c_0101_1^6 - 1660/137*c_0101_1^5 + 16987/274*c_0101_1^4 + 18113/274*c_0101_1^3 + 2254/137*c_0101_1^2 - 4913/274*c_0101_1 - 3467/274, c_0101_1^14 - 2*c_0101_1^11 - 7*c_0101_1^10 - 12*c_0101_1^9 - 14*c_0101_1^8 - 8*c_0101_1^7 - 3*c_0101_1^6 + 7*c_0101_1^5 + 13*c_0101_1^4 + 7*c_0101_1^3 - c_0101_1^2 - 3*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB