Magma V2.19-8 Tue Aug 20 2013 23:48:47 on localhost [Seed = 3785853764] Type ? for help. Type -D to quit. Loading file "L12n1008__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1008 geometric_solution 11.21978462 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 0 1 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 1 -1 1 0 0 -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 0.629036833223 1.096406863547 0 4 6 5 0132 0132 0132 0132 1 1 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 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.278125459789 0.867317483844 7 0 6 0 0132 0132 3120 0213 0 1 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 -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 0.629036833223 1.096406863547 8 4 7 0 0132 1230 0321 0132 0 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432924853545 0.467815090745 7 1 3 9 1023 0132 3012 0132 1 0 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276378004723 0.588992114158 9 10 1 7 3012 0132 0132 2103 1 1 0 1 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 -1 1 0 1 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454165408425 0.755869364985 11 11 2 1 0132 1302 3120 0132 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506080136752 1.239886572093 2 4 3 5 0132 1023 0321 2103 0 1 1 1 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 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 0.411885852895 0.972519366576 3 10 9 11 0132 1302 3012 0132 1 1 1 1 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 0 2 -2 0 0 0 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.126435201968 0.937053698124 10 8 4 5 2310 1230 0132 1230 1 0 1 1 0 0 0 0 0 0 0 0 -1 0 0 1 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 -3 0 0 3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447115752952 1.106509722223 11 5 9 8 1302 0132 3201 2031 1 1 1 0 0 0 -1 1 -1 0 1 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 -2 2 -3 0 3 0 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534494177881 0.365126706628 6 10 8 6 0132 2031 0132 2031 1 1 0 1 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 -2 2 0 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277284368046 0.696066690518 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_5'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6, c_0101_9, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 10957460514147740178134670099416/1884795430194654778569229461*c_100\ 1_1^13 + 6913728029530958955279203418620/62826514339821825952307648\ 7*c_1001_1^12 + 33978645369733949450303075933732/188479543019465477\ 8569229461*c_1001_1^11 + 1501668940232980918834716140960/5094041703\ 2287966988357553*c_1001_1^10 + 7896870810730891005471055570028/2094\ 21714466072753174358829*c_1001_1^9 + 84851854414826941761937927104760/1884795430194654778569229461*c_100\ 1_1^8 + 117014293410504842604257679433580/1884795430194654778569229\ 461*c_1001_1^7 + 112269463085800100681726553843748/1884795430194654\ 778569229461*c_1001_1^6 + 18204925716041905352333228036398/26925649\ 0027807825509889923*c_1001_1^5 + 129023796939587818788792029638325/\ 1884795430194654778569229461*c_1001_1^4 + 3571028562155680066159962188485/69807238155357584391452943*c_1001_1\ ^3 + 25380418732829987151330696821140/628265143398218259523076487*c\ _1001_1^2 + 66056890308617615006630699815/2719762525533412378887777\ *c_1001_1 + 11969818835442831608031182548589/1884795430194654778569\ 229461, c_0011_0 - 1, c_0011_10 + 425389238016600657308/18520306194176573709*c_1001_1^13 + 254304690718196889828/6173435398058857903*c_1001_1^12 + 1260383957983573014140/18520306194176573709*c_1001_1^11 + 2049406708323165700232/18520306194176573709*c_1001_1^10 + 864934289617828055336/6173435398058857903*c_1001_1^9 + 3099529120791379035856/18520306194176573709*c_1001_1^8 + 4314697579887653592932/18520306194176573709*c_1001_1^7 + 4026234218642675800510/18520306194176573709*c_1001_1^6 + 4677472103141120452357/18520306194176573709*c_1001_1^5 + 4637564703808534015991/18520306194176573709*c_1001_1^4 + 1148479332539599324343/6173435398058857903*c_1001_1^3 + 908696894496654249345/6173435398058857903*c_1001_1^2 + 536843909196455312528/6173435398058857903*c_1001_1 + 390427922968382340557/18520306194176573709, c_0011_3 + 5260671354005506796/1424638938013582593*c_1001_1^13 + 5850200899299673808/474879646004527531*c_1001_1^12 + 24466416110114490344/1424638938013582593*c_1001_1^11 + 42505540295354024816/1424638938013582593*c_1001_1^10 + 19389610226244865676/474879646004527531*c_1001_1^9 + 67949141042034185140/1424638938013582593*c_1001_1^8 + 89732802805599153068/1424638938013582593*c_1001_1^7 + 104281315853605774360/1424638938013582593*c_1001_1^6 + 94033251216499480615/1424638938013582593*c_1001_1^5 + 117817864477278124160/1424638938013582593*c_1001_1^4 + 28742877671719737786/474879646004527531*c_1001_1^3 + 21569311677580048802/474879646004527531*c_1001_1^2 + 15825102171278306143/474879646004527531*c_1001_1 + 14250628915205085872/1424638938013582593, c_0011_9 + 49954381229364403580/18520306194176573709*c_1001_1^13 + 41200401358911400752/6173435398058857903*c_1001_1^12 + 188086429232504646656/18520306194176573709*c_1001_1^11 + 319810355389560042704/18520306194176573709*c_1001_1^10 + 139617746382894673720/6173435398058857903*c_1001_1^9 + 491070807853306498678/18520306194176573709*c_1001_1^8 + 660422432683361684780/18520306194176573709*c_1001_1^7 + 702457346305029579766/18520306194176573709*c_1001_1^6 + 704196574033385646643/18520306194176573709*c_1001_1^5 + 808215381410469347513/18520306194176573709*c_1001_1^4 + 194925288597660196444/6173435398058857903*c_1001_1^3 + 150277863509670585985/6173435398058857903*c_1001_1^2 + 97434099063473856831/6173435398058857903*c_1001_1 + 77035952212745745032/18520306194176573709, c_0101_0 + 57841474935438377752/6173435398058857903*c_1001_1^13 + 104818138910162116072/6173435398058857903*c_1001_1^12 + 171083537152678861284/6173435398058857903*c_1001_1^11 + 280992570894237210924/6173435398058857903*c_1001_1^10 + 356633462177735269116/6173435398058857903*c_1001_1^9 + 423614503467619653058/6173435398058857903*c_1001_1^8 + 591639313936722406142/6173435398058857903*c_1001_1^7 + 554747107001474487600/6173435398058857903*c_1001_1^6 + 639052724226962256358/6173435398058857903*c_1001_1^5 + 643987248174689292249/6173435398058857903*c_1001_1^4 + 471986713202071639704/6173435398058857903*c_1001_1^3 + 375277173180845335637/6173435398058857903*c_1001_1^2 + 227385262156413857479/6173435398058857903*c_1001_1 + 51046172592497582545/6173435398058857903, c_0101_1 + 334919338978727481908/18520306194176573709*c_1001_1^13 + 195976571488485003968/6173435398058857903*c_1001_1^12 + 967404600418448134700/18520306194176573709*c_1001_1^11 + 1578514747312115564132/18520306194176573709*c_1001_1^10 + 659996552544878156464/6173435398058857903*c_1001_1^9 + 2365562328399934926130/18520306194176573709*c_1001_1^8 + 3304853134733416207256/18520306194176573709*c_1001_1^7 + 3040894002335743638772/18520306194176573709*c_1001_1^6 + 3566118493242827240155/18520306194176573709*c_1001_1^5 + 3528190469144645850635/18520306194176573709*c_1001_1^4 + 853829994923669509509/6173435398058857903*c_1001_1^3 + 689170902881250081645/6173435398058857903*c_1001_1^2 + 391496256294330133810/6173435398058857903*c_1001_1 + 269286321195462074594/18520306194176573709, c_0101_2 + 112888338506209315212/6173435398058857903*c_1001_1^13 + 174185967687806681484/6173435398058857903*c_1001_1^12 + 297922990372546011672/6173435398058857903*c_1001_1^11 + 484317818726488061028/6173435398058857903*c_1001_1^10 + 589680382840589482608/6173435398058857903*c_1001_1^9 + 709879623106639525122/6173435398058857903*c_1001_1^8 + 1008335341824525994230/6173435398058857903*c_1001_1^7 + 863951890380526451854/6173435398058857903*c_1001_1^6 + 1094860081721587389307/6173435398058857903*c_1001_1^5 + 1020924801982543514288/6173435398058857903*c_1001_1^4 + 723220204920032049533/6173435398058857903*c_1001_1^3 + 612691515802096757578/6173435398058857903*c_1001_1^2 + 314872978866033797019/6173435398058857903*c_1001_1 + 54672814528187494716/6173435398058857903, c_0101_4 - 1, c_0101_6 + 201553786135396162384/18520306194176573709*c_1001_1^13 + 115533828839160303856/6173435398058857903*c_1001_1^12 + 571385498370176246644/18520306194176573709*c_1001_1^11 + 940573805717157754648/18520306194176573709*c_1001_1^10 + 391221717699052046988/6173435398058857903*c_1001_1^9 + 1404018336372321784268/18520306194176573709*c_1001_1^8 + 1968770839093249657924/18520306194176573709*c_1001_1^7 + 1788787745093249745116/18520306194176573709*c_1001_1^6 + 2126783495212161378302/18520306194176573709*c_1001_1^5 + 2105905621875949556206/18520306194176573709*c_1001_1^4 + 502295172148496213445/6173435398058857903*c_1001_1^3 + 410268129755105005256/6173435398058857903*c_1001_1^2 + 234082375425641418916/6173435398058857903*c_1001_1 + 143220406907315415625/18520306194176573709, c_0101_9 - 11733873931011336092/474879646004527531*c_1001_1^13 - 21869717939256707156/474879646004527531*c_1001_1^12 - 36132594343267740796/474879646004527531*c_1001_1^11 - 58757050462602936448/474879646004527531*c_1001_1^10 - 75248283542566750324/474879646004527531*c_1001_1^9 - 89688426777670546608/474879646004527531*c_1001_1^8 - 123792295566862740480/474879646004527531*c_1001_1^7 - 117838420504678994468/474879646004527531*c_1001_1^6 - 135243956505681605837/474879646004527531*c_1001_1^5 - 135525961412377787829/474879646004527531*c_1001_1^4 - 102052583461147182161/474879646004527531*c_1001_1^3 - 79827338066697063458/474879646004527531*c_1001_1^2 - 48071170309538304787/474879646004527531*c_1001_1 - 12069769992868518791/474879646004527531, c_0110_5 + 8487410441028339188/474879646004527531*c_1001_1^13 + 12602333973290455940/474879646004527531*c_1001_1^12 + 22351241640354648696/474879646004527531*c_1001_1^11 + 35586038612558014308/474879646004527531*c_1001_1^10 + 43401722440134566540/474879646004527531*c_1001_1^9 + 52488904955009185312/474879646004527531*c_1001_1^8 + 74369567570733650104/474879646004527531*c_1001_1^7 + 62568957292502110382/474879646004527531*c_1001_1^6 + 81991685556495171083/474879646004527531*c_1001_1^5 + 73311705833334503421/474879646004527531*c_1001_1^4 + 53912864261798101662/474879646004527531*c_1001_1^3 + 44678507172689884998/474879646004527531*c_1001_1^2 + 22491161054316206773/474879646004527531*c_1001_1 + 4208810508405599445/474879646004527531, c_1001_1^14 + 40/17*c_1001_1^13 + 4*c_1001_1^12 + 111/17*c_1001_1^11 + 151/17*c_1001_1^10 + 184/17*c_1001_1^9 + 244/17*c_1001_1^8 + 260/17*c_1001_1^7 + 1125/68*c_1001_1^6 + 587/34*c_1001_1^5 + 491/34*c_1001_1^4 + 759/68*c_1001_1^3 + 15/2*c_1001_1^2 + 53/17*c_1001_1 + 37/68 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB