Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 2614757309] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s105 geometric_solution 3.96785173 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 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 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 -0.696584686809 0.115765561271 0 0 2 2 0132 3201 2310 0132 0 0 0 0 0 0 0 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 1.897684994251 0.648669081260 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092427783734 0.409274367432 2 4 5 2 0132 0132 0132 1023 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 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506395582698 0.308263702521 5 3 5 5 2103 0132 3201 2031 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 0 -1 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 0.509752146678 0.895628047145 4 4 4 3 2310 1302 2103 0132 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 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 0.509752146678 0.895628047145 ==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' : negation(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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), '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_3'], 'c_0110_4' : d['c_0011_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 638418068342/49207228099*c_0101_3^15 - 1805427684686/49207228099*c_0101_3^14 - 13965407013088/49207228099*c_0101_3^13 + 26702020017029/49207228099*c_0101_3^12 + 91065936142497/49207228099*c_0101_3^11 - 118574200894330/49207228099*c_0101_3^10 - 294708333287337/49207228099*c_0101_3^9 + 216531271068473/49207228099*c_0101_3^8 + 499182522712519/49207228099*c_0101_3^7 - 182492723414036/49207228099*c_0101_3^6 - 438142944785677/49207228099*c_0101_3^5 + 85576152739462/49207228099*c_0101_3^4 + 187317111615669/49207228099*c_0101_3^3 - 35163587639570/49207228099*c_0101_3^2 - 29858863759489/49207228099*c_0101_3 + 8631619049121/49207228099, c_0011_0 - 1, c_0011_2 + 10387798571/49207228099*c_0101_3^15 - 36141245413/49207228099*c_0101_3^14 - 189025699815/49207228099*c_0101_3^13 + 511418853793/49207228099*c_0101_3^12 + 857474047128/49207228099*c_0101_3^11 - 1830329618257/49207228099*c_0101_3^10 - 2015507984502/49207228099*c_0101_3^9 + 2316023977525/49207228099*c_0101_3^8 + 2238118682965/49207228099*c_0101_3^7 - 889474911857/49207228099*c_0101_3^6 - 550088392730/49207228099*c_0101_3^5 - 58199195330/49207228099*c_0101_3^4 - 388770329164/49207228099*c_0101_3^3 + 120017227275/49207228099*c_0101_3^2 + 31810435245/49207228099*c_0101_3 - 35127555515/49207228099, c_0011_5 - 8086572445/49207228099*c_0101_3^15 + 25878254473/49207228099*c_0101_3^14 + 166858300679/49207228099*c_0101_3^13 - 397584376625/49207228099*c_0101_3^12 - 999418506933/49207228099*c_0101_3^11 + 1816554877267/49207228099*c_0101_3^10 + 3033027225430/49207228099*c_0101_3^9 - 3500864408172/49207228099*c_0101_3^8 - 4973419247032/49207228099*c_0101_3^7 + 3128152861788/49207228099*c_0101_3^6 + 4171200840286/49207228099*c_0101_3^5 - 1300314119627/49207228099*c_0101_3^4 - 1489126073497/49207228099*c_0101_3^3 + 272555080406/49207228099*c_0101_3^2 + 69523270556/49207228099*c_0101_3 - 37916678183/49207228099, c_0101_0 - 18533598702/49207228099*c_0101_3^15 + 75141684764/49207228099*c_0101_3^14 + 287085845340/49207228099*c_0101_3^13 - 1050617136020/49207228099*c_0101_3^12 - 820020574846/49207228099*c_0101_3^11 + 3395926168748/49207228099*c_0101_3^10 + 1347398212709/49207228099*c_0101_3^9 - 4141764140288/49207228099*c_0101_3^8 - 819256454985/49207228099*c_0101_3^7 + 1802757264869/49207228099*c_0101_3^6 - 1096825585237/49207228099*c_0101_3^5 - 78596036123/49207228099*c_0101_3^4 + 1220119712996/49207228099*c_0101_3^3 - 93770742769/49207228099*c_0101_3^2 - 164367278339/49207228099*c_0101_3 + 32140747739/49207228099, c_0101_1 - 58452510127/49207228099*c_0101_3^15 + 211935974971/49207228099*c_0101_3^14 + 1055576423708/49207228099*c_0101_3^13 - 3085486534191/49207228099*c_0101_3^12 - 4920693058046/49207228099*c_0101_3^11 + 11813446470825/49207228099*c_0101_3^10 + 13347344471847/49207228099*c_0101_3^9 - 18878175167540/49207228099*c_0101_3^8 - 20142019904865/49207228099*c_0101_3^7 + 13788903663188/49207228099*c_0101_3^6 + 14450857746624/49207228099*c_0101_3^5 - 4750817146322/49207228099*c_0101_3^4 - 4150924667510/49207228099*c_0101_3^3 + 991474264568/49207228099*c_0101_3^2 + 338487939597/49207228099*c_0101_3 - 115305159019/49207228099, c_0101_3^16 - 4*c_0101_3^15 - 17*c_0101_3^14 + 61*c_0101_3^13 + 68*c_0101_3^12 - 254*c_0101_3^11 - 152*c_0101_3^10 + 470*c_0101_3^9 + 209*c_0101_3^8 - 447*c_0101_3^7 - 141*c_0101_3^6 + 226*c_0101_3^5 + 25*c_0101_3^4 - 53*c_0101_3^3 + 6*c_0101_3^2 + 4*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB