Magma V2.19-8 Tue Aug 20 2013 16:17:53 on localhost [Seed = 576962273] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2120 geometric_solution 5.61479551 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 -1 0 1 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 1 -1 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 1.826506235565 1.639707773663 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331218504558 0.520444027095 3 1 4 5 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206556007975 1.013835533862 4 5 2 1 2310 2310 3201 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 1 0 -1 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 -0.206556007975 1.013835533862 6 6 3 2 0132 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.526906158458 1.576620431988 5 5 2 3 1302 2031 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 -1 0 0 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 0.372427375772 0.420790315420 4 6 4 6 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302349533027 0.934211210673 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : 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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 10941673287/98605865*c_0011_5*c_0110_5^9 + 38394706188/98605865*c_0011_5*c_0110_5^8 - 120673669401/197211730*c_0011_5*c_0110_5^7 - 2068584722707/197211730*c_0011_5*c_0110_5^6 - 2748782665069/197211730*c_0011_5*c_0110_5^5 - 83531061258/19721173*c_0011_5*c_0110_5^4 + 288342591769/98605865*c_0011_5*c_0110_5^3 + 413950855003/98605865*c_0011_5*c_0110_5^2 + 280273821491/197211730*c_0011_5*c_0110_5 - 29336338993/98605865*c_0011_5, c_0011_0 - 1, c_0011_1 + 79845/32678*c_0110_5^9 + 129790/16339*c_0110_5^8 - 257057/16339*c_0110_5^7 - 7440481/32678*c_0110_5^6 - 8078129/32678*c_0110_5^5 - 155127/16339*c_0110_5^4 + 1596515/16339*c_0110_5^3 + 1357635/16339*c_0110_5^2 + 261783/32678*c_0110_5 - 550211/32678, c_0011_3 - 988327/277763*c_0011_5*c_0110_5^9 - 3180359/277763*c_0011_5*c_0110_5^8 + 12864047/555526*c_0011_5*c_0110_5^7 + 91810516/277763*c_0011_5*c_0110_5^6 + 194585071/555526*c_0011_5*c_0110_5^5 + 7348053/555526*c_0011_5*c_0110_5^4 - 79481107/555526*c_0011_5*c_0110_5^3 - 65894365/555526*c_0011_5*c_0110_5^2 - 2579544/277763*c_0011_5*c_0110_5 + 6509132/277763*c_0011_5, c_0011_4 + 1989988/277763*c_0011_5*c_0110_5^9 + 6399056/277763*c_0011_5*c_0110_5^8 - 12989669/277763*c_0011_5*c_0110_5^7 - 369769785/555526*c_0011_5*c_0110_5^6 - 390540241/555526*c_0011_5*c_0110_5^5 - 9864277/555526*c_0011_5*c_0110_5^4 + 80492788/277763*c_0011_5*c_0110_5^3 + 66474011/277763*c_0011_5*c_0110_5^2 + 5647589/277763*c_0011_5*c_0110_5 - 26871539/555526*c_0011_5, c_0011_5^2 - 12090272/4721971*c_0110_5^9 - 77763159/9443942*c_0110_5^8 + 78873773/4721971*c_0110_5^7 + 2246151253/9443942*c_0110_5^6 + 2373338999/9443942*c_0110_5^5 + 69177953/9443942*c_0110_5^4 - 950562821/9443942*c_0110_5^3 - 401435327/4721971*c_0110_5^2 - 37270009/4721971*c_0110_5 + 77155308/4721971, c_0101_1 - 1321143/555526*c_0110_5^9 - 2084656/277763*c_0110_5^8 + 4399863/277763*c_0110_5^7 + 122020093/555526*c_0110_5^6 + 122914521/555526*c_0110_5^5 + 1208651/277763*c_0110_5^4 - 24829458/277763*c_0110_5^3 - 21091444/277763*c_0110_5^2 - 3411803/555526*c_0110_5 + 7698377/555526, c_0110_5^10 + 4*c_0110_5^9 - 4*c_0110_5^8 - 98*c_0110_5^7 - 171*c_0110_5^6 - 80*c_0110_5^5 + 37*c_0110_5^4 + 64*c_0110_5^3 + 29*c_0110_5^2 - 4*c_0110_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB