Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 1882320044] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1792 geometric_solution 5.46682941 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.720240891884 0.330159763327 0 0 3 2 0132 2310 0132 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 0 0 -1 0 1 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 1.039760092882 1.206855115090 4 3 1 5 0132 2031 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620570284322 0.568454266810 2 4 5 1 1302 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620570284322 0.568454266810 2 6 6 3 0132 0132 3201 3201 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.464530923613 0.210130568313 5 3 2 5 3012 3201 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072316099446 0.742443161504 4 4 6 6 2310 0132 2031 1302 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 -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 0.870040598642 1.334246033058 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : d['c_0101_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), '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_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 8*c_0101_6^2 - 5*c_0101_6 + 17, c_0011_0 - 1, c_0011_2 + 1, c_0011_5 - c_0101_6, c_0101_0 - c_0101_6^2 + 1, c_0101_1 - c_0101_6, c_0101_4 + c_0101_6^2 - 1, c_0101_6^3 + c_0101_6^2 - 2*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 857/7*c_0101_6^5 + 732/7*c_0101_6^4 + 5247/7*c_0101_6^3 - 625*c_0101_6^2 - 7492/7*c_0101_6 + 5756/7, c_0011_0 - 1, c_0011_2 - c_0101_6^5 + 4*c_0101_6^3 - 3*c_0101_6, c_0011_5 - c_0101_6, c_0101_0 - c_0101_6^3 + c_0101_6^2 + 2*c_0101_6 - 1, c_0101_1 - c_0101_6^4 + 3*c_0101_6^2 + c_0101_6 - 1, c_0101_4 - c_0101_6^3 + 2*c_0101_6, c_0101_6^6 - c_0101_6^5 - 6*c_0101_6^4 + 6*c_0101_6^3 + 8*c_0101_6^2 - 8*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 7751188344584441699637/83990522910630805433*c_0101_6^13 - 501933665128970972609907/1343848366570092886928*c_0101_6^12 - 2011954873273173130606417/2015772549855139330392*c_0101_6^11 + 3244757740520641343237105/251971568731892416299*c_0101_6^10 - 69398130677309220578026657/4031545099710278660784*c_0101_6^9 + 171313241071012675594461359/2015772549855139330392*c_0101_6^8 - 77400203028898057938956837/1007886274927569665196*c_0101_6^7 + 10815317244144532626999550/251971568731892416299*c_0101_6^6 + 51668108360717647314456241/1007886274927569665196*c_0101_6^5 - 311570443910552790853551307/4031545099710278660784*c_0101_6^4 + 81821747252555658417261203/1343848366570092886928*c_0101_6^3 - 8692389355131319240302265/671924183285046443464*c_0101_6^2 + 2281130208122421734254919/2015772549855139330392*c_0101_6 + 4927023097553020941079943/4031545099710278660784, c_0011_0 - 1, c_0011_2 - 28134383493383215364/251971568731892416299*c_0101_6^13 + 37319283973043957720/83990522910630805433*c_0101_6^12 + 311455302667619960330/251971568731892416299*c_0101_6^11 - 3901411102083689218282/251971568731892416299*c_0101_6^10 + 4982620133359897986046/251971568731892416299*c_0101_6^9 - 8550562849263855859027/83990522910630805433*c_0101_6^8 + 7317973320652521470491/83990522910630805433*c_0101_6^7 - 12097884467275314743366/251971568731892416299*c_0101_6^6 - 4948145721714536205197/83990522910630805433*c_0101_6^5 + 22156015577400260544080/251971568731892416299*c_0101_6^4 - 17400374515109580886202/251971568731892416299*c_0101_6^3 + 1372716204881759137297/83990522910630805433*c_0101_6^2 - 321571592344500359479/83990522910630805433*c_0101_6 - 183937440736196551153/251971568731892416299, c_0011_5 + 28134383493383215364/251971568731892416299*c_0101_6^13 - 37319283973043957720/83990522910630805433*c_0101_6^12 - 311455302667619960330/251971568731892416299*c_0101_6^11 + 3901411102083689218282/251971568731892416299*c_0101_6^10 - 4982620133359897986046/251971568731892416299*c_0101_6^9 + 8550562849263855859027/83990522910630805433*c_0101_6^8 - 7317973320652521470491/83990522910630805433*c_0101_6^7 + 12097884467275314743366/251971568731892416299*c_0101_6^6 + 4948145721714536205197/83990522910630805433*c_0101_6^5 - 22156015577400260544080/251971568731892416299*c_0101_6^4 + 17400374515109580886202/251971568731892416299*c_0101_6^3 - 1372716204881759137297/83990522910630805433*c_0101_6^2 + 405562115255131164912/83990522910630805433*c_0101_6 + 183937440736196551153/251971568731892416299, c_0101_0 - 19931096337837050489/251971568731892416299*c_0101_6^13 + 76870860551198936585/251971568731892416299*c_0101_6^12 + 229832483483471571269/251971568731892416299*c_0101_6^11 - 2736272563305862930838/251971568731892416299*c_0101_6^10 + 3202361477018997338593/251971568731892416299*c_0101_6^9 - 17791862320068143842484/251971568731892416299*c_0101_6^8 + 13209283127556625273438/251971568731892416299*c_0101_6^7 - 6999022121526583127005/251971568731892416299*c_0101_6^6 - 4120326227878733495189/83990522910630805433*c_0101_6^5 + 4901965220795940707822/83990522910630805433*c_0101_6^4 - 10132003980184249916405/251971568731892416299*c_0101_6^3 + 1225710360568877412032/251971568731892416299*c_0101_6^2 + 111596488944028902869/83990522910630805433*c_0101_6 - 54558688716153357245/83990522910630805433, c_0101_1 - 2641687254294983023/251971568731892416299*c_0101_6^13 + 3167957060991917754/83990522910630805433*c_0101_6^12 + 37220006990031084010/251971568731892416299*c_0101_6^11 - 369617649719191315322/251971568731892416299*c_0101_6^10 + 277832905451430584273/251971568731892416299*c_0101_6^9 - 564060662453971541944/83990522910630805433*c_0101_6^8 + 212997057731721185810/83990522910630805433*c_0101_6^7 + 2902241841213312775037/251971568731892416299*c_0101_6^6 - 1242551197353549853590/83990522910630805433*c_0101_6^5 + 1379762930282362526125/251971568731892416299*c_0101_6^4 + 1446557719206407426849/251971568731892416299*c_0101_6^3 - 945680292809976474778/83990522910630805433*c_0101_6^2 + 263573018500915053913/83990522910630805433*c_0101_6 - 69206280236284348868/251971568731892416299, c_0101_4 + 19183954824668838757/503943137463784832598*c_0101_6^13 - 72274375466333732197/503943137463784832598*c_0101_6^12 - 112047459086365421458/251971568731892416299*c_0101_6^11 + 2599714570493863705505/503943137463784832598*c_0101_6^10 - 2890215072777407994571/503943137463784832598*c_0101_6^9 + 2893120332335857371110/83990522910630805433*c_0101_6^8 - 1960708246720684561550/83990522910630805433*c_0101_6^7 + 4481572058903144608727/251971568731892416299*c_0101_6^6 + 10206810659341319162087/503943137463784832598*c_0101_6^5 - 5728059138908298984682/251971568731892416299*c_0101_6^4 + 11099511909250677890317/503943137463784832598*c_0101_6^3 - 1282853425851684388067/251971568731892416299*c_0101_6^2 + 1324354069972129883621/503943137463784832598*c_0101_6 + 125678648748152505457/503943137463784832598, c_0101_6^14 - 4*c_0101_6^13 - 11*c_0101_6^12 + 139*c_0101_6^11 - 180*c_0101_6^10 + 913*c_0101_6^9 - 790*c_0101_6^8 + 432*c_0101_6^7 + 571*c_0101_6^6 - 807*c_0101_6^5 + 623*c_0101_6^4 - 115*c_0101_6^3 + 11*c_0101_6^2 + 12*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB