Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 1073863789] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s208 geometric_solution 4.34242165 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 1 1 0 3201 0132 1023 2310 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 -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 1.269708002284 1.035033554057 2 0 0 3 0132 0132 1023 0132 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 1 0 -1 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 0.312762535090 0.288250010472 1 4 3 3 0132 0132 1302 3201 0 0 0 0 0 -1 1 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 0.215434611414 0.842779473168 2 2 1 4 2031 2310 0132 2310 0 0 0 0 0 -1 0 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 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 0.215434611414 0.842779473168 3 2 5 5 3201 0132 2310 0132 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.925693416287 1.924162592767 5 4 4 5 3201 3201 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.559997823997 0.231828265696 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 45038390616824/1629986621275*c_0101_4^12 - 29755973889214/325997324255*c_0101_4^11 - 24513640006711/325997324255*c_0101_4^10 + 710322018785683/1629986621275*c_0101_4^9 - 200765633341961/1629986621275*c_0101_4^8 - 752031956072734/1629986621275*c_0101_4^7 + 100153179372589/1629986621275*c_0101_4^6 + 586847460788783/1629986621275*c_0101_4^5 + 457350262333542/1629986621275*c_0101_4^4 - 128807435153368/325997324255*c_0101_4^3 - 12988544969066/325997324255*c_0101_4^2 - 117791136256198/1629986621275*c_0101_4 + 135634671271381/1629986621275, c_0011_0 - 1, c_0011_3 - 136597939684/65199464851*c_0101_4^12 + 429981916567/65199464851*c_0101_4^11 + 432143839625/65199464851*c_0101_4^10 - 2080082849009/65199464851*c_0101_4^9 + 343538280587/65199464851*c_0101_4^8 + 2286300761035/65199464851*c_0101_4^7 - 111247880327/65199464851*c_0101_4^6 - 1678671195641/65199464851*c_0101_4^5 - 1472433946899/65199464851*c_0101_4^4 + 1610532105035/65199464851*c_0101_4^3 + 281521071833/65199464851*c_0101_4^2 + 377417280185/65199464851*c_0101_4 - 257201583610/65199464851, c_0011_5 - 86485190148/65199464851*c_0101_4^12 + 270035754511/65199464851*c_0101_4^11 + 274447835853/65199464851*c_0101_4^10 - 1288527874546/65199464851*c_0101_4^9 + 197788211066/65199464851*c_0101_4^8 + 1345974660957/65199464851*c_0101_4^7 + 11628526256/65199464851*c_0101_4^6 - 944726854261/65199464851*c_0101_4^5 - 999408171090/65199464851*c_0101_4^4 + 943095778773/65199464851*c_0101_4^3 + 112670941819/65199464851*c_0101_4^2 + 305409574341/65199464851*c_0101_4 - 136782933009/65199464851, c_0101_0 + 64583214800/65199464851*c_0101_4^12 - 209317524608/65199464851*c_0101_4^11 - 186487644809/65199464851*c_0101_4^10 + 989888166131/65199464851*c_0101_4^9 - 204365809380/65199464851*c_0101_4^8 - 1021373629163/65199464851*c_0101_4^7 - 59719607603/65199464851*c_0101_4^6 + 802575481343/65199464851*c_0101_4^5 + 826007386431/65199464851*c_0101_4^4 - 851410805547/65199464851*c_0101_4^3 - 190507974896/65199464851*c_0101_4^2 - 253469349667/65199464851*c_0101_4 + 215282539862/65199464851, c_0101_1 - 162578753948/65199464851*c_0101_4^12 + 532384755481/65199464851*c_0101_4^11 + 453522299899/65199464851*c_0101_4^10 - 2539006599171/65199464851*c_0101_4^9 + 675029113817/65199464851*c_0101_4^8 + 2663076276517/65199464851*c_0101_4^7 - 320432142411/65199464851*c_0101_4^6 - 2013773280037/65199464851*c_0101_4^5 - 1679968685430/65199464851*c_0101_4^4 + 2214217062797/65199464851*c_0101_4^3 + 219699918748/65199464851*c_0101_4^2 + 461654821294/65199464851*c_0101_4 - 391564071081/65199464851, c_0101_4^13 - 15/4*c_0101_4^12 - 5/4*c_0101_4^11 + 17*c_0101_4^10 - 23/2*c_0101_4^9 - 59/4*c_0101_4^8 + 39/4*c_0101_4^7 + 12*c_0101_4^6 + 17/4*c_0101_4^5 - 75/4*c_0101_4^4 + 5*c_0101_4^3 - 2*c_0101_4^2 + 4*c_0101_4 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB