Magma V2.19-8 Wed Aug 21 2013 00:13:50 on localhost [Seed = 2210787279] Type ? for help. Type -D to quit. Loading file "K13n3503__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3503 geometric_solution 11.96094936 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727004342417 0.704307282865 0 2 5 5 0132 0213 3012 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 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581489824732 0.541247373782 6 0 1 7 0132 0132 0213 0132 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 0 1 0 0 0 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613016891609 0.513611067287 4 8 7 0 3201 0132 1230 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 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 0.808139570948 0.925401678831 9 5 0 3 0132 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.727004342417 0.704307282865 4 1 1 8 1230 1230 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.894062453392 1.156265685979 2 10 11 10 0132 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 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 0.713251290345 1.068441210109 11 9 2 3 0132 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1.165181140514 0.387284844832 11 3 9 5 2031 0132 1230 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465538184536 0.866840043735 4 12 7 8 0132 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1.374500228108 1.837612771046 6 6 12 12 3012 0132 0132 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 -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 0.234311746124 0.873058246271 7 12 8 6 0132 3012 1302 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769619723475 0.468198408163 11 9 10 10 1230 0132 2031 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 1 0 -1 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 0.234311746124 0.873058246271 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0011_11'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0101_1'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_12'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_6, c_0101_8, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 13629667613384640350186/35077913764203187636939*c_1001_3^15 - 175661292424687987079735/70155827528406375273878*c_1001_3^14 - 453267237406023653342563/70155827528406375273878*c_1001_3^13 - 20652873038135676965474/35077913764203187636939*c_1001_3^12 + 2434496901854270249474233/70155827528406375273878*c_1001_3^11 + 1383677079864118839570566/35077913764203187636939*c_1001_3^10 - 5780807692724568272205529/70155827528406375273878*c_1001_3^9 - 8098971151570817232025543/70155827528406375273878*c_1001_3^8 + 228386720721185980511395/1323694859026535382526*c_1001_3^7 + 6388177782134453554232625/70155827528406375273878*c_1001_3^6 - 9651175878002564098468755/35077913764203187636939*c_1001_3^5 - 183206160966799492879996/35077913764203187636939*c_1001_3^4 - 143192639416823573133096/35077913764203187636939*c_1001_3^3 - 4440637488101408305411476/35077913764203187636939*c_1001_3^2 + 4307788837233871356876675/70155827528406375273878*c_1001_3 - 2830646397678075836512428/35077913764203187636939, c_0011_0 - 1, c_0011_11 - 485991525110762979/24975374698613875142*c_1001_3^15 - 2924516841049871865/24975374698613875142*c_1001_3^14 - 7459306647687481759/24975374698613875142*c_1001_3^13 - 150024443916328757/12487687349306937571*c_1001_3^12 + 37905652488453461617/24975374698613875142*c_1001_3^11 + 20110528721449146059/12487687349306937571*c_1001_3^10 - 42745606683236258990/12487687349306937571*c_1001_3^9 - 51684842069183872322/12487687349306937571*c_1001_3^8 + 82015102756472400756/12487687349306937571*c_1001_3^7 + 45797023575185018443/24975374698613875142*c_1001_3^6 - 116925215141737673928/12487687349306937571*c_1001_3^5 + 7100084026713890625/12487687349306937571*c_1001_3^4 - 41282141124782507973/12487687349306937571*c_1001_3^3 - 138028472389709505971/24975374698613875142*c_1001_3^2 + 50649138966952495317/24975374698613875142*c_1001_3 - 107853473656291608279/24975374698613875142, c_0011_12 - 1, c_0011_3 + 461384881212524648/12487687349306937571*c_1001_3^15 + 1948564334356706950/12487687349306937571*c_1001_3^14 + 3738664139842883036/12487687349306937571*c_1001_3^13 - 12307392108252422137/24975374698613875142*c_1001_3^12 - 25073194795471410115/12487687349306937571*c_1001_3^11 + 2565466662555862976/12487687349306937571*c_1001_3^10 + 150089112724007929135/24975374698613875142*c_1001_3^9 - 17874329532392730899/12487687349306937571*c_1001_3^8 - 110827093598226936660/12487687349306937571*c_1001_3^7 + 174043693724051751695/24975374698613875142*c_1001_3^6 + 67380589281441129079/12487687349306937571*c_1001_3^5 - 47417975426937147627/24975374698613875142*c_1001_3^4 + 130157124920841856521/24975374698613875142*c_1001_3^3 - 19455281419160557895/12487687349306937571*c_1001_3^2 + 17597748904849311397/24975374698613875142*c_1001_3 + 28352907582782027355/12487687349306937571, c_0011_5 + 272653812393997261/12487687349306937571*c_1001_3^15 + 689077487477934683/12487687349306937571*c_1001_3^14 + 571861064794613305/12487687349306937571*c_1001_3^13 - 12397436098433231435/24975374698613875142*c_1001_3^12 - 6543603418843152002/12487687349306937571*c_1001_3^11 + 21832362602006933204/12487687349306937571*c_1001_3^10 + 55057274459606285721/24975374698613875142*c_1001_3^9 - 79132522858456550409/12487687349306937571*c_1001_3^8 - 4345312220011068272/12487687349306937571*c_1001_3^7 + 263553030332948409747/24975374698613875142*c_1001_3^6 - 93831336169564165809/12487687349306937571*c_1001_3^5 - 16434929179317304943/24975374698613875142*c_1001_3^4 + 120286092486110901823/24975374698613875142*c_1001_3^3 - 76890497193439841166/12487687349306937571*c_1001_3^2 + 150641174727250756325/24975374698613875142*c_1001_3 - 32259059393620501923/12487687349306937571, c_0101_0 - 680569728624110263/12487687349306937571*c_1001_3^15 - 2948636191953331652/12487687349306937571*c_1001_3^14 - 5946329072539790131/12487687349306937571*c_1001_3^13 + 8042606603404933213/12487687349306937571*c_1001_3^12 + 74374171112033327751/24975374698613875142*c_1001_3^11 + 2091130406775249659/12487687349306937571*c_1001_3^10 - 105778886254178004660/12487687349306937571*c_1001_3^9 + 25417985950299602347/24975374698613875142*c_1001_3^8 + 149820505935024894250/12487687349306937571*c_1001_3^7 - 104649863431428200937/12487687349306937571*c_1001_3^6 - 202272615924897010039/24975374698613875142*c_1001_3^5 + 14373997649795151816/12487687349306937571*c_1001_3^4 - 190881929006097159275/24975374698613875142*c_1001_3^3 + 15676502662267304853/24975374698613875142*c_1001_3^2 - 26846267047050891990/12487687349306937571*c_1001_3 - 86421223178036688251/24975374698613875142, c_0101_1 + 272653812393997261/12487687349306937571*c_1001_3^15 + 689077487477934683/12487687349306937571*c_1001_3^14 + 571861064794613305/12487687349306937571*c_1001_3^13 - 12397436098433231435/24975374698613875142*c_1001_3^12 - 6543603418843152002/12487687349306937571*c_1001_3^11 + 21832362602006933204/12487687349306937571*c_1001_3^10 + 55057274459606285721/24975374698613875142*c_1001_3^9 - 79132522858456550409/12487687349306937571*c_1001_3^8 - 4345312220011068272/12487687349306937571*c_1001_3^7 + 263553030332948409747/24975374698613875142*c_1001_3^6 - 93831336169564165809/12487687349306937571*c_1001_3^5 - 16434929179317304943/24975374698613875142*c_1001_3^4 + 120286092486110901823/24975374698613875142*c_1001_3^3 - 76890497193439841166/12487687349306937571*c_1001_3^2 + 150641174727250756325/24975374698613875142*c_1001_3 - 32259059393620501923/12487687349306937571, c_0101_12 - 507578128021864211/24975374698613875142*c_1001_3^15 - 646605542023159250/12487687349306937571*c_1001_3^14 - 675939426699692923/24975374698613875142*c_1001_3^13 + 6629135792901503819/12487687349306937571*c_1001_3^12 + 15925564342577706511/24975374698613875142*c_1001_3^11 - 22828045064968697075/12487687349306937571*c_1001_3^10 - 74687871371096139999/24975374698613875142*c_1001_3^9 + 71415524039651152606/12487687349306937571*c_1001_3^8 + 36468452302745125998/12487687349306937571*c_1001_3^7 - 121320978072845137388/12487687349306937571*c_1001_3^6 + 51604127730804854107/12487687349306937571*c_1001_3^5 + 21283277639098616029/12487687349306937571*c_1001_3^4 - 76983497667905588333/24975374698613875142*c_1001_3^3 + 91815970215967952733/12487687349306937571*c_1001_3^2 - 55246486909426714760/12487687349306937571*c_1001_3 + 15999665165276210820/12487687349306937571, c_0101_3 - 4916023897435/749988730026542*c_1001_3^15 - 21054340175101/749988730026542*c_1001_3^14 - 22476417200668/374994365013271*c_1001_3^13 + 22775160160229/374994365013271*c_1001_3^12 + 117840778851975/374994365013271*c_1001_3^11 + 32292124871251/749988730026542*c_1001_3^10 - 286108850794350/374994365013271*c_1001_3^9 + 80378889198629/374994365013271*c_1001_3^8 + 564713083970047/749988730026542*c_1001_3^7 - 783440221548171/749988730026542*c_1001_3^6 + 123068254044527/374994365013271*c_1001_3^5 - 656318138558667/749988730026542*c_1001_3^4 - 1019756887114665/749988730026542*c_1001_3^3 + 170878607646537/374994365013271*c_1001_3^2 - 718469004594841/749988730026542*c_1001_3 + 202000639178771/749988730026542, c_0101_6 + 800957341316517406/12487687349306937571*c_1001_3^15 + 7350658577329720411/24975374698613875142*c_1001_3^14 + 15500838574021070917/24975374698613875142*c_1001_3^13 - 16277236668100220741/24975374698613875142*c_1001_3^12 - 46989188090387615758/12487687349306937571*c_1001_3^11 - 23146070896912600255/24975374698613875142*c_1001_3^10 + 128600205906231315448/12487687349306937571*c_1001_3^9 + 24487015172346825637/24975374698613875142*c_1001_3^8 - 389869482490784300709/24975374698613875142*c_1001_3^7 + 98725209651967258549/12487687349306937571*c_1001_3^6 + 317651597692233793195/24975374698613875142*c_1001_3^5 - 25640633789275975112/12487687349306937571*c_1001_3^4 + 123853744088942871506/12487687349306937571*c_1001_3^3 + 28690919955295435101/24975374698613875142*c_1001_3^2 + 6579901349731916892/12487687349306937571*c_1001_3 + 66570659516037322385/12487687349306937571, c_0101_8 - 221994378473346651/12487687349306937571*c_1001_3^15 - 1494672381931949711/24975374698613875142*c_1001_3^14 - 2249648318617193755/24975374698613875142*c_1001_3^13 + 8210704691131422669/24975374698613875142*c_1001_3^12 + 9098358443664948395/12487687349306937571*c_1001_3^11 - 8592539283594449027/12487687349306937571*c_1001_3^10 - 29709999217087704798/12487687349306937571*c_1001_3^9 + 31626944286178426928/12487687349306937571*c_1001_3^8 + 50269324548910543407/24975374698613875142*c_1001_3^7 - 63560321223860806278/12487687349306937571*c_1001_3^6 + 53637328240263578479/24975374698613875142*c_1001_3^5 - 10304760761041114359/24975374698613875142*c_1001_3^4 - 31496275360106272111/12487687349306937571*c_1001_3^3 + 77251542170321754603/24975374698613875142*c_1001_3^2 - 28495993981920725868/12487687349306937571*c_1001_3 + 54035285216773311887/24975374698613875142, c_1001_0 - 4916023897435/749988730026542*c_1001_3^15 - 21054340175101/749988730026542*c_1001_3^14 - 22476417200668/374994365013271*c_1001_3^13 + 22775160160229/374994365013271*c_1001_3^12 + 117840778851975/374994365013271*c_1001_3^11 + 32292124871251/749988730026542*c_1001_3^10 - 286108850794350/374994365013271*c_1001_3^9 + 80378889198629/374994365013271*c_1001_3^8 + 564713083970047/749988730026542*c_1001_3^7 - 783440221548171/749988730026542*c_1001_3^6 + 123068254044527/374994365013271*c_1001_3^5 - 656318138558667/749988730026542*c_1001_3^4 - 1019756887114665/749988730026542*c_1001_3^3 + 170878607646537/374994365013271*c_1001_3^2 - 718469004594841/749988730026542*c_1001_3 + 202000639178771/749988730026542, c_1001_3^16 + 4*c_1001_3^15 + 8*c_1001_3^14 - 12*c_1001_3^13 - 46*c_1001_3^12 + 4*c_1001_3^11 + 122*c_1001_3^10 - 54*c_1001_3^9 - 106*c_1001_3^8 + 160*c_1001_3^7 - 46*c_1001_3^6 + 120*c_1001_3^5 + 163*c_1001_3^4 - 94*c_1001_3^3 + 166*c_1001_3^2 - 46*c_1001_3 + 53 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.120 Total time: 3.319 seconds, Total memory usage: 32.09MB