Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 3600239113] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1803 geometric_solution 5.47117564 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 0 1 -1 0 0 1 -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 0.520054800992 0.217514719421 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -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 0 1 -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 1.063314771771 0.871480800554 4 1 5 3 0132 0132 0132 1230 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 -1 1 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 1.122337558470 0.897281017018 2 5 1 4 3012 1023 0132 1023 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 0 0 0 0 0 0 1.122337558470 0.897281017018 2 4 4 3 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007910013536 0.674160659851 3 6 6 2 1023 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763394031307 0.286859689582 5 5 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.281705954844 0.777253361642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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_6']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1767201401569886813080989/641774150080721473031*c_0101_6^17 + 829192119384665280447478/641774150080721473031*c_0101_6^15 - 3666572428458385055225362/641774150080721473031*c_0101_6^13 - 22238749849565849076023707/641774150080721473031*c_0101_6^11 - 49358638571940165983464991/641774150080721473031*c_0101_6^9 - 38618826165993743385060865/641774150080721473031*c_0101_6^7 - 9030952635708027110235925/641774150080721473031*c_0101_6^5 + 3761174776561366955169769/641774150080721473031*c_0101_6^3 - 205042630729658074371042/641774150080721473031*c_0101_6, c_0011_0 - 1, c_0011_3 - 381814282219067982/45883616935777613*c_0101_6^17 - 143740417702718570/45883616935777613*c_0101_6^15 + 809336279689755505/45883616935777613*c_0101_6^13 + 4731783392484557356/45883616935777613*c_0101_6^11 + 10211956561879287252/45883616935777613*c_0101_6^9 + 7352985311004864703/45883616935777613*c_0101_6^7 + 1162452790725944299/45883616935777613*c_0101_6^5 - 944220703722888902/45883616935777613*c_0101_6^3 + 176482017908836261/45883616935777613*c_0101_6, c_0101_0 - 129043013532676959465/9039072536348189761*c_0101_6^16 - 66853936148840028037/9039072536348189761*c_0101_6^14 + 265493145827790682306/9039072536348189761*c_0101_6^12 + 1637319481729155989365/9039072536348189761*c_0101_6^10 + 3682193703922818490866/9039072536348189761*c_0101_6^8 + 2986013376114966586111/9039072536348189761*c_0101_6^6 + 777456579970510335759/9039072536348189761*c_0101_6^4 - 259092188503313270488/9039072536348189761*c_0101_6^2 + 1242417362009094385/9039072536348189761, c_0101_1 - 461492273330279360631/9039072536348189761*c_0101_6^16 - 217027140279072387749/9039072536348189761*c_0101_6^14 + 958914943668328387397/9039072536348189761*c_0101_6^12 + 5808924964617397479472/9039072536348189761*c_0101_6^10 + 12892304013905523903402/9039072536348189761*c_0101_6^8 + 10079434719830711759125/9039072536348189761*c_0101_6^6 + 2325508733249704796480/9039072536348189761*c_0101_6^4 - 1011286235825716950011/9039072536348189761*c_0101_6^2 + 42594570305783159552/9039072536348189761, c_0101_2 - 1853709622011629388/45883616935777613*c_0101_6^17 - 751287639477559947/45883616935777613*c_0101_6^15 + 3909519314894693757/45883616935777613*c_0101_6^13 + 23074044356785699286/45883616935777613*c_0101_6^11 + 50276827086122764628/45883616935777613*c_0101_6^9 + 37112930389539511399/45883616935777613*c_0101_6^7 + 6790855832808367372/45883616935777613*c_0101_6^5 - 4578197429808560125/45883616935777613*c_0101_6^3 + 418509075240768315/45883616935777613*c_0101_6, c_0101_5 + 80734481937217415331/9039072536348189761*c_0101_6^16 + 46809234711888921172/9039072536348189761*c_0101_6^14 - 164367089295393421447/9039072536348189761*c_0101_6^12 - 1033824531404687721207/9039072536348189761*c_0101_6^10 - 2364121727935146850967/9039072536348189761*c_0101_6^8 - 2004346604668736912423/9039072536348189761*c_0101_6^6 - 593260128506518953442/9039072536348189761*c_0101_6^4 + 117941509835203013847/9039072536348189761*c_0101_6^2 + 134262614045386247/9039072536348189761, c_0101_6^18 + 86/207*c_0101_6^16 - 145/69*c_0101_6^14 - 2582/207*c_0101_6^12 - 5641/207*c_0101_6^10 - 61/3*c_0101_6^8 - 806/207*c_0101_6^6 + 505/207*c_0101_6^4 - 5/23*c_0101_6^2 + 1/207 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB