Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 1848636189] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2886 geometric_solution 6.09652917 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 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 -1 1 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 0.995714055193 0.849453058424 0 1 1 4 0132 3201 2310 0213 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.183202485712 0.793750844245 5 0 3 6 0132 0132 3012 0132 0 0 0 0 0 1 -1 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 1 -1 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 0.580458168705 0.490967706203 5 2 6 0 2103 1230 2103 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 1 0 -1 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 1.346870735642 0.796267181802 6 5 0 1 3201 3120 0132 0213 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 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 0.418736610390 0.495881283867 2 4 3 6 0132 3120 2103 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972124038529 0.627588541911 3 5 2 4 2103 1302 0132 2310 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 -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 0.434850562196 1.450672469755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1331408/37057*c_0101_3^9 - 21925155/37057*c_0101_3^8 + 31529472/37057*c_0101_3^7 + 16375533/37057*c_0101_3^6 - 20005727/37057*c_0101_3^5 + 2584470/37057*c_0101_3^4 + 989404/37057*c_0101_3^3 - 7725412/37057*c_0101_3^2 + 1306352/37057*c_0101_3 + 2305142/37057, c_0011_0 - 1, c_0011_3 + 37495/37057*c_0101_3^9 - 609938/37057*c_0101_3^8 + 767676/37057*c_0101_3^7 + 586763/37057*c_0101_3^6 - 479803/37057*c_0101_3^5 + 135285/37057*c_0101_3^4 + 47395/37057*c_0101_3^3 - 214276/37057*c_0101_3^2 - 34935/37057*c_0101_3 + 41515/37057, c_0011_4 - 42302/37057*c_0101_3^9 + 698993/37057*c_0101_3^8 - 1056029/37057*c_0101_3^7 - 215631/37057*c_0101_3^6 + 305737/37057*c_0101_3^5 - 224801/37057*c_0101_3^4 + 60981/37057*c_0101_3^3 + 196990/37057*c_0101_3^2 - 33702/37057*c_0101_3 - 12266/37057, c_0101_0 + 21173/37057*c_0101_3^9 - 379202/37057*c_0101_3^8 + 998313/37057*c_0101_3^7 - 378380/37057*c_0101_3^6 - 625121/37057*c_0101_3^5 + 148892/37057*c_0101_3^4 - 49515/37057*c_0101_3^3 - 103843/37057*c_0101_3^2 + 111546/37057*c_0101_3 + 51536/37057, c_0101_1 + 52320/37057*c_0101_3^9 - 866749/37057*c_0101_3^8 + 1331651/37057*c_0101_3^7 + 395474/37057*c_0101_3^6 - 665992/37057*c_0101_3^5 + 214901/37057*c_0101_3^4 - 34180/37057*c_0101_3^3 - 199988/37057*c_0101_3^2 + 67177/37057*c_0101_3 + 49761/37057, c_0101_2 - 42302/37057*c_0101_3^9 + 698993/37057*c_0101_3^8 - 1056029/37057*c_0101_3^7 - 215631/37057*c_0101_3^6 + 305737/37057*c_0101_3^5 - 224801/37057*c_0101_3^4 + 60981/37057*c_0101_3^3 + 196990/37057*c_0101_3^2 - 33702/37057*c_0101_3 - 12266/37057, c_0101_3^10 - 16*c_0101_3^9 + 16*c_0101_3^8 + 23*c_0101_3^7 - 8*c_0101_3^6 - 6*c_0101_3^5 + c_0101_3^4 - 5*c_0101_3^3 - 2*c_0101_3^2 + 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB