Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 54697772] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s229 geometric_solution 4.38559495 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 1.521845116975 0.207981292116 0 2 2 0 3201 0132 1023 0132 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 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 1.201846997571 0.338398115647 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 -1 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 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 0.655561649555 0.543611317761 2 5 4 4 0132 0132 1302 2031 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442895887288 0.411678698183 3 3 2 5 2031 1302 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442895887288 0.411678698183 5 3 4 5 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.788697653013 1.125924596786 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 889047146635/56014771152*c_0101_5^19 + 10448053194779/28007385576*c_0101_5^17 - 178989621682645/56014771152*c_0101_5^15 + 90663202633495/7001846394*c_0101_5^13 - 924035416746455/28007385576*c_0101_5^11 + 1694739080775905/28007385576*c_0101_5^9 - 3732008582580149/56014771152*c_0101_5^7 + 177256807356721/4667897596*c_0101_5^5 - 494223022272821/56014771152*c_0101_5^3 + 4687669490159/14003692788*c_0101_5, c_0011_0 - 1, c_0011_1 - 2444915887/9335795192*c_0101_5^18 + 57514123643/9335795192*c_0101_5^16 - 61676249528/1166974399*c_0101_5^14 + 1002590033453/4667897596*c_0101_5^12 - 1282018786777/2333948798*c_0101_5^10 + 4722647388175/4667897596*c_0101_5^8 - 10500872946387/9335795192*c_0101_5^6 + 6139354450573/9335795192*c_0101_5^4 - 771444116233/4667897596*c_0101_5^2 + 11224375146/1166974399, c_0011_4 - 3109777739/4667897596*c_0101_5^18 + 73111167437/4667897596*c_0101_5^16 - 626587028623/4667897596*c_0101_5^14 + 635521206176/1166974399*c_0101_5^12 - 1622376492617/1166974399*c_0101_5^10 + 5964946561211/2333948798*c_0101_5^8 - 13203899612785/4667897596*c_0101_5^6 + 7647544621631/4667897596*c_0101_5^4 - 1873221432779/4667897596*c_0101_5^2 + 26094240896/1166974399, c_0101_0 + 3410874939/9335795192*c_0101_5^19 - 10028807827/1166974399*c_0101_5^17 + 688217877281/9335795192*c_0101_5^15 - 699164029883/2333948798*c_0101_5^13 + 3576791687387/4667897596*c_0101_5^11 - 6590824609739/4667897596*c_0101_5^9 + 14671332659313/9335795192*c_0101_5^7 - 4311004441677/4667897596*c_0101_5^5 + 2226855215741/9335795192*c_0101_5^3 - 41402645089/2333948798*c_0101_5, c_0101_2 + 405879995/1166974399*c_0101_5^19 - 76227053257/9335795192*c_0101_5^17 + 651691044883/9335795192*c_0101_5^15 - 1316664715873/4667897596*c_0101_5^13 + 3348767601395/4667897596*c_0101_5^11 - 3068827445637/2333948798*c_0101_5^9 + 6743409430299/4667897596*c_0101_5^7 - 7736771979525/9335795192*c_0101_5^5 + 1909439303277/9335795192*c_0101_5^3 - 16051031313/1166974399*c_0101_5, c_0101_5^20 - 24*c_0101_5^18 + 213*c_0101_5^16 - 916*c_0101_5^14 + 2486*c_0101_5^12 - 4854*c_0101_5^10 + 6115*c_0101_5^8 - 4522*c_0101_5^6 + 1793*c_0101_5^4 - 324*c_0101_5^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB