Magma V2.19-8 Tue Aug 20 2013 16:16:14 on localhost [Seed = 1966401974] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0492 geometric_solution 4.50981839 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 2.409453899827 0.917175564119 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.612529653369 0.112639483187 0 3 4 0 3201 0132 0132 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 0.413981668018 0.865169857052 5 2 4 4 0132 0132 1302 2031 0 0 0 0 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319979174457 0.353455079043 3 3 5 2 2031 1302 2310 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 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319979174457 0.353455079043 3 4 6 6 0132 3201 2310 0132 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 -0.772483520928 1.686414379423 6 5 5 6 3012 3201 0132 1230 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.008076729090 0.482342054475 ==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_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 28970369447109249456097867/21745833252247783096334847*c_0101_5^13 - 15896320214125537337702737/1035515869154656337920707*c_0101_5^12 - 39117353573013792825853523/2416203694694198121814983*c_0101_5^11 - 176733633739912325715832783/21745833252247783096334847*c_0101_5^10 - 2693424374536095921681267257/21745833252247783096334847*c_0101_5^9 + 1278255777875002550638429495/7248611084082594365444949*c_0101_5^8 - 434817947246883848282060512/3106547607463969013762121*c_0101_5^7 + 14283711722048668353911505731/21745833252247783096334847*c_0101_5^6 - 2549955760258710915754456028/2416203694694198121814983*c_0101_5^5 + 23587733572167820759500824057/21745833252247783096334847*c_0101_5\ ^4 + 4286151652220428622884104148/21745833252247783096334847*c_0101\ _5^3 - 23024829401349646732280027809/21745833252247783096334847*c_0\ 101_5^2 + 9716816553949213276098107111/21745833252247783096334847*c\ _0101_5 - 1093071880910809681517618174/21745833252247783096334847, c_0011_0 - 1, c_0011_2 + 1596559454874409369434/115057318794961815324523*c_0101_5^13 + 19860853764581856368045/115057318794961815324523*c_0101_5^12 + 37640271885080267181211/115057318794961815324523*c_0101_5^11 + 44036922659511564629305/115057318794961815324523*c_0101_5^10 + 182691621367158750611348/115057318794961815324523*c_0101_5^9 - 52968274402892161624720/115057318794961815324523*c_0101_5^8 + 114317081013160930296832/115057318794961815324523*c_0101_5^7 - 736923607904917139151583/115057318794961815324523*c_0101_5^6 + 648629479494340488248563/115057318794961815324523*c_0101_5^5 - 750984358531307677848428/115057318794961815324523*c_0101_5^4 - 634265568468786570340938/115057318794961815324523*c_0101_5^3 + 330988280647195239288244/115057318794961815324523*c_0101_5^2 + 134097580426019908297562/115057318794961815324523*c_0101_5 + 139289666559204555004433/115057318794961815324523, c_0011_4 - 2378601212590342788672/115057318794961815324523*c_0101_5^13 - 28640969804016147112206/115057318794961815324523*c_0101_5^12 - 43948802350858039611592/115057318794961815324523*c_0101_5^11 - 39191080410479338684949/115057318794961815324523*c_0101_5^10 - 239098647224714231783262/115057318794961815324523*c_0101_5^9 + 194755243614448128995705/115057318794961815324523*c_0101_5^8 - 164333963273014699384747/115057318794961815324523*c_0101_5^7 + 1151020472234696780791831/115057318794961815324523*c_0101_5^6 - 1365121249780911269949555/115057318794961815324523*c_0101_5^5 + 1390857970985712102078250/115057318794961815324523*c_0101_5^4 + 674508354301215559271239/115057318794961815324523*c_0101_5^3 - 956249194131766122548147/115057318794961815324523*c_0101_5^2 - 143593519829839302274825/115057318794961815324523*c_0101_5 - 112532445840697693550852/115057318794961815324523, c_0011_6 + 1734033213481068310448/115057318794961815324523*c_0101_5^13 + 21078863059961415791198/115057318794961815324523*c_0101_5^12 + 34481986043744771431288/115057318794961815324523*c_0101_5^11 + 32826806794053177093114/115057318794961815324523*c_0101_5^10 + 179023220617267736606592/115057318794961815324523*c_0101_5^9 - 119594380650099602627393/115057318794961815324523*c_0101_5^8 + 106817302114799681990595/115057318794961815324523*c_0101_5^7 - 834173683630359195306976/115057318794961815324523*c_0101_5^6 + 894830651962221866902978/115057318794961815324523*c_0101_5^5 - 950579033901066788422313/115057318794961815324523*c_0101_5^4 - 608666048067187852856143/115057318794961815324523*c_0101_5^3 + 640340065277789183402658/115057318794961815324523*c_0101_5^2 + 195884522387034842299550/115057318794961815324523*c_0101_5 + 102650569047730659655202/115057318794961815324523, c_0101_0 + 3061875114825320748996/115057318794961815324523*c_0101_5^13 + 37178726528193654663745/115057318794961815324523*c_0101_5^12 + 60159093569803206677712/115057318794961815324523*c_0101_5^11 + 54542720862143416922042/115057318794961815324523*c_0101_5^10 + 312306271875196449671764/115057318794961815324523*c_0101_5^9 - 219243156057006393923689/115057318794961815324523*c_0101_5^8 + 169271267662282080164084/115057318794961815324523*c_0101_5^7 - 1439324864648333746892751/115057318794961815324523*c_0101_5^6 + 1572583682934440071706096/115057318794961815324523*c_0101_5^5 - 1546662325059831686618646/115057318794961815324523*c_0101_5^4 - 1225315802425190692482394/115057318794961815324523*c_0101_5^3 + 1404888592630588306877647/115057318794961815324523*c_0101_5^2 + 287317130283833623069852/115057318794961815324523*c_0101_5 + 69438603442157789238591/115057318794961815324523, c_0101_1 + 1691606596361304306390/115057318794961815324523*c_0101_5^13 + 20724039037413282886049/115057318794961815324523*c_0101_5^12 + 35541022740187900608777/115057318794961815324523*c_0101_5^11 + 34844751306279263150652/115057318794961815324523*c_0101_5^10 + 180077490028263759751077/115057318794961815324523*c_0101_5^9 - 93178544570990531336766/115057318794961815324523*c_0101_5^8 + 101948892406466090878386/115057318794961815324523*c_0101_5^7 - 756525551919601251620272/115057318794961815324523*c_0101_5^6 + 803399915243301955035847/115057318794961815324523*c_0101_5^5 - 764776519670767186041895/115057318794961815324523*c_0101_5^4 - 848648884987021925910472/115057318794961815324523*c_0101_5^3 + 639987442457933501945721/115057318794961815324523*c_0101_5^2 + 137829009648517228229093/115057318794961815324523*c_0101_5 + 24441204031151754441454/115057318794961815324523, c_0101_5^14 + 12*c_0101_5^13 + 18*c_0101_5^12 + 16*c_0101_5^11 + 101*c_0101_5^10 - 84*c_0101_5^9 + 76*c_0101_5^8 - 482*c_0101_5^7 + 594*c_0101_5^6 - 614*c_0101_5^5 - 277*c_0101_5^4 + 439*c_0101_5^3 + 22*c_0101_5^2 + 38*c_0101_5 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB