Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 2160139653] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3474 geometric_solution 6.69751949 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.902793161572 1.004605839507 3 4 5 0 0132 0132 0132 0132 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 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 0.723765029438 0.867332034948 4 3 0 6 2310 3201 0132 0132 0 0 0 0 0 1 -1 0 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 -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 0.723765029438 0.867332034948 1 6 2 5 0132 1302 2310 1302 0 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 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 0.846160839661 0.618547336036 4 1 2 4 3201 0132 3201 2310 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 0.432830776865 0.679673673712 6 6 3 1 1230 3012 2031 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 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 0.229774865689 0.563037997796 5 5 2 3 1230 3012 0132 2031 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229774865689 0.563037997796 ==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_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' : negation(d['c_1010_3']), 'c_1100_5' : negation(d['c_1010_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_3']), 'c_1100_0' : negation(d['c_1010_3']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_1010_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : negation(d['c_0011_5']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0011_6, c_0101_0, c_0101_4, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 12348073403/3759999490*c_1010_3^14 - 386471675/751999898*c_1010_3^13 + 261401705184/1879999745*c_1010_3^12 - 2069991473151/3759999490*c_1010_3^11 + 3397735508589/3759999490*c_1010_3^10 - 136481908231/289230730*c_1010_3^9 + 47325452976/375999949*c_1010_3^8 - 730913593573/1879999745*c_1010_3^7 + 2972100998/1879999745*c_1010_3^6 - 3671056498913/3759999490*c_1010_3^5 - 152836633283/1879999745*c_1010_3^4 - 227895747749/1879999745*c_1010_3^3 - 97524212959/197894710*c_1010_3^2 + 2788681568/144615365*c_1010_3 - 621355818489/3759999490, c_0011_0 - 1, c_0011_1 + 23016776/202461511*c_1010_3^14 - 719280857/809846044*c_1010_3^13 + 2035478577/809846044*c_1010_3^12 - 642613740/202461511*c_1010_3^11 + 423784241/404923022*c_1010_3^10 - 750260275/809846044*c_1010_3^9 + 482293015/202461511*c_1010_3^8 + 710005697/809846044*c_1010_3^7 + 2371236951/809846044*c_1010_3^6 + 201549409/404923022*c_1010_3^5 - 338336367/809846044*c_1010_3^4 + 30338135/809846044*c_1010_3^3 - 43898521/42623476*c_1010_3^2 + 183166272/202461511*c_1010_3 + 127886107/809846044, c_0011_5 - 110405464/202461511*c_1010_3^14 + 3492795333/809846044*c_1010_3^13 - 10071443803/809846044*c_1010_3^12 + 3220133351/202461511*c_1010_3^11 - 810659245/202461511*c_1010_3^10 - 340026815/809846044*c_1010_3^9 - 3335366641/404923022*c_1010_3^8 + 1174329431/809846044*c_1010_3^7 - 14788803191/809846044*c_1010_3^6 - 708929985/202461511*c_1010_3^5 + 1666416229/809846044*c_1010_3^4 - 5379882821/809846044*c_1010_3^3 - 45651601/42623476*c_1010_3^2 - 362967209/404923022*c_1010_3 - 330526491/809846044, c_0011_6 - 110405464/202461511*c_1010_3^14 + 3492795333/809846044*c_1010_3^13 - 10071443803/809846044*c_1010_3^12 + 3220133351/202461511*c_1010_3^11 - 810659245/202461511*c_1010_3^10 - 340026815/809846044*c_1010_3^9 - 3335366641/404923022*c_1010_3^8 + 1174329431/809846044*c_1010_3^7 - 14788803191/809846044*c_1010_3^6 - 708929985/202461511*c_1010_3^5 + 1666416229/809846044*c_1010_3^4 - 5379882821/809846044*c_1010_3^3 - 45651601/42623476*c_1010_3^2 - 362967209/404923022*c_1010_3 - 330526491/809846044, c_0101_0 + 253739/253156*c_1010_3^14 - 488427/63289*c_1010_3^13 + 5391031/253156*c_1010_3^12 - 3178843/126578*c_1010_3^11 + 690273/253156*c_1010_3^10 + 318751/253156*c_1010_3^9 + 3631651/253156*c_1010_3^8 + 17502/63289*c_1010_3^7 + 8537465/253156*c_1010_3^6 + 3901677/253156*c_1010_3^5 + 139149/126578*c_1010_3^4 + 2057171/126578*c_1010_3^3 + 91949/13324*c_1010_3^2 + 1126709/253156*c_1010_3 + 505335/253156, c_0101_4 + 512186847/809846044*c_1010_3^14 - 1013415492/202461511*c_1010_3^13 + 11845564683/809846044*c_1010_3^12 - 8029456605/404923022*c_1010_3^11 + 6601845189/809846044*c_1010_3^10 - 2760058789/809846044*c_1010_3^9 + 8438912191/809846044*c_1010_3^8 - 709653396/202461511*c_1010_3^7 + 19402078249/809846044*c_1010_3^6 + 4279808565/809846044*c_1010_3^5 + 2217282255/404923022*c_1010_3^4 + 4624752537/404923022*c_1010_3^3 + 176678609/42623476*c_1010_3^2 + 2428011193/809846044*c_1010_3 + 263439135/809846044, c_1010_3^15 - 8*c_1010_3^14 + 24*c_1010_3^13 - 35*c_1010_3^12 + 21*c_1010_3^11 - 15*c_1010_3^10 + 22*c_1010_3^9 - 8*c_1010_3^8 + 42*c_1010_3^7 + 2*c_1010_3^6 + 14*c_1010_3^5 + 15*c_1010_3^4 + 4*c_1010_3^3 + 8*c_1010_3^2 + c_1010_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB