Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 3869734995] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m112 geometric_solution 3.55140387 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 2 0132 0132 2031 3120 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 1 0 0 0 1 -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 0.985944714418 1.038622587940 0 2 3 3 0132 1230 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013131790325 0.525934133750 0 0 1 0 3120 0132 3012 1302 0 0 0 0 0 0 1 -1 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 1 0 -1 1 0 0 -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 0.013027006253 0.962637355779 4 1 1 4 0132 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.379469600178 0.558977281442 3 4 4 3 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999371462292 0.408374923137 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], '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_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 282018/619*c_0101_4^9 - 2065434/619*c_0101_4^8 - 741648/619*c_0101_4^7 + 6728816/619*c_0101_4^6 + 76513/619*c_0101_4^5 - 4826858/619*c_0101_4^4 + 3259987/619*c_0101_4^3 + 924434/619*c_0101_4^2 - 2560720/619*c_0101_4 - 860496/619, c_0011_0 - 1, c_0011_3 - 346/619*c_0101_4^9 + 2296/619*c_0101_4^8 + 2813/619*c_0101_4^7 - 8923/619*c_0101_4^6 - 5173/619*c_0101_4^5 + 9079/619*c_0101_4^4 - 2838/619*c_0101_4^3 - 4350/619*c_0101_4^2 + 5109/619*c_0101_4 + 2194/619, c_0101_0 - 2428/619*c_0101_4^9 + 18069/619*c_0101_4^8 + 4229/619*c_0101_4^7 - 58272/619*c_0101_4^6 + 6328/619*c_0101_4^5 + 39641/619*c_0101_4^4 - 32102/619*c_0101_4^3 - 2513/619*c_0101_4^2 + 20441/619*c_0101_4 + 5467/619, c_0101_1 - 2540/619*c_0101_4^9 + 18619/619*c_0101_4^8 + 6535/619*c_0101_4^7 - 60341/619*c_0101_4^6 - 1422/619*c_0101_4^5 + 44122/619*c_0101_4^4 - 28176/619*c_0101_4^3 - 10061/619*c_0101_4^2 + 23916/619*c_0101_4 + 7773/619, c_0101_4^10 - 7*c_0101_4^9 - 5*c_0101_4^8 + 23*c_0101_4^7 + 8*c_0101_4^6 - 17*c_0101_4^5 + 6*c_0101_4^4 + 7*c_0101_4^3 - 8*c_0101_4^2 - 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB