Magma V2.19-8 Sat Sep 14 2013 00:19:46 on localhost [Seed = 4137109268] Type ? for help. Type -D to quit. Loading file "11_330__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_330 geometric_solution 16.00677954 oriented_manifold CS_known -0.0000000000000012 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 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 1 0 -1 1 0 -1 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 0.601386903620 0.847863246504 0 4 6 5 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925775333699 0.366395327778 7 0 7 8 0132 0132 3012 0132 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 -1 0 1 -7 0 7 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 0.750951954745 0.613291141389 9 10 11 0 0132 0132 0132 0132 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 -1 1 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007210768769 0.612215010920 5 1 0 9 0132 2103 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 1 -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 0.719535046336 1.383588406926 4 12 1 6 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.698940509508 0.505214736984 5 13 14 1 3120 0132 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 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 0 0.661489650915 0.889865155353 2 2 10 11 0132 1230 1230 2310 0 0 0 0 0 -1 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 0 0 0 0 -7 1 6 7 0 0 -7 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568406946458 1.399725681885 11 15 2 16 1230 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 0 -1 1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527296662970 0.577850661912 3 12 4 11 0132 2310 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 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380061391606 0.998343932189 16 3 15 7 0132 0132 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 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 0.524739853718 0.777477984546 7 8 9 3 3201 3012 0132 0132 0 0 0 0 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 -1 0 0 1 -6 0 0 6 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093005992274 0.938575032340 13 5 16 9 2103 0132 2310 3201 0 0 0 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 0 0 0 0 0 0 0 6 0 0 -6 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406018727956 1.291431507393 14 6 12 15 2103 0132 2103 2310 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 -1 1 0 6 0 -6 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 -0.082138505055 1.110153446442 15 16 13 6 2310 2310 2103 0132 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 -1 1 7 0 -6 -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 1.038378282637 0.776206193743 13 8 14 10 3201 0132 3201 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 0 0 0 1 0 0 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345540669559 0.862038407954 10 12 8 14 0132 3201 0132 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 -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 0.352333772438 1.151389931344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0101_12']), 'c_1001_14' : d['c_0011_13'], 'c_1001_16' : negation(d['c_0101_12']), 'c_1001_11' : d['c_0011_15'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_0011_12'], 'c_1001_12' : d['c_0011_13'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_14'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_0101_10']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 'c_1010_16' : negation(d['c_0011_13']), 'c_1010_15' : d['c_1001_0'], 'c_1010_14' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 'c_0101_13' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0011_11'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_12'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_0_8' : d['1'], 's_2_15' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_14']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_15'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0101_15'], 'c_1100_1' : d['c_0101_15'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_14']), 'c_1100_14' : d['c_0101_15'], 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0011_14']), 's_3_11' : d['1'], 'c_1100_16' : negation(d['c_0011_14']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0011_14']), 'c_1100_13' : d['c_0011_15'], 's_3_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_13'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 's_2_8' : d['1'], 'c_1010_9' : d['c_0011_15'], 'c_1010_8' : negation(d['c_0101_12']), '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' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_15']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_13' : negation(d['c_0101_15']), 'c_0110_12' : negation(d['c_0011_15']), 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : negation(d['c_0101_15']), 'c_0110_16' : d['c_0101_10'], 'c_1010_4' : negation(d['c_1001_5']), 's_2_14' : d['1'], 's_0_9' : d['1'], 's_3_15' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_15']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0011_15, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_15, c_0101_7, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 58674149805490489211070584964342/57025834791664585343361383536675*c\ _1100_0^16 - 13177099090503501811436898021393/335446087009791678490\ 3610796275*c_1100_0^15 - 13701683311248180798500420726127/814654782\ 7380655049051626219525*c_1100_0^14 + 19991134385438409778327378139937/3354460870097916784903610796275*c_\ 1100_0^13 - 3063937368286346571612149376741/13417843480391667139614\ 4431851*c_1100_0^12 - 251639299293870489283371002857798/33544608700\ 97916784903610796275*c_1100_0^11 - 45940626209896453881901217446426/11405166958332917068672276707335*c\ _1100_0^10 + 60371237033469834800341904496421/532951727024902666760\ 386762025*c_1100_0^9 - 38420672495471674939964543759523/47920869572\ 8273826414801542325*c_1100_0^8 - 4968460868487483873692174332871293\ /11405166958332917068672276707335*c_1100_0^7 - 18977873686432150759878724783660854/5702583479166458534336138353667\ 5*c_1100_0^6 + 16790874517228694705850546187077354/5702583479166458\ 5343361383536675*c_1100_0^5 + 29622247140425740122043838018764594/5\ 7025834791664585343361383536675*c_1100_0^4 - 1684845072115953233507020729017254/11405166958332917068672276707335\ *c_1100_0^3 - 2658251857181643465353050564478233/814654782738065504\ 9051626219525*c_1100_0^2 + 11830393446123946514420640895825217/5702\ 5834791664585343361383536675*c_1100_0 + 443986582463851399920653916712303/11405166958332917068672276707335, c_0011_0 - 1, c_0011_10 - 19116594632665565184/2561560102682697013219*c_1100_0^16 - 57962062337447795042/2561560102682697013219*c_1100_0^15 - 5629904254136072662/2561560102682697013219*c_1100_0^14 + 43550844793389007674/2561560102682697013219*c_1100_0^13 - 519152919551494422223/2561560102682697013219*c_1100_0^12 - 1041118082993176655147/2561560102682697013219*c_1100_0^11 + 161471833057231765615/2561560102682697013219*c_1100_0^10 + 733942031072378518563/2561560102682697013219*c_1100_0^9 - 2920934602338809264507/2561560102682697013219*c_1100_0^8 - 6703035196370338213391/2561560102682697013219*c_1100_0^7 - 3899348775471081520022/2561560102682697013219*c_1100_0^6 + 2572137879193012081116/2561560102682697013219*c_1100_0^5 - 658112258340551033554/2561560102682697013219*c_1100_0^4 - 1488792780967573971034/365937157526099573317*c_1100_0^3 - 6980097706115674181866/2561560102682697013219*c_1100_0^2 + 2057512312812234722155/2561560102682697013219*c_1100_0 + 840898136635004951171/2561560102682697013219, c_0011_11 + 30999121849563304613/2561560102682697013219*c_1100_0^16 + 130343271133734125697/2561560102682697013219*c_1100_0^15 + 106765289551150859074/2561560102682697013219*c_1100_0^14 - 139488316765828618202/2561560102682697013219*c_1100_0^13 + 589334314591363363019/2561560102682697013219*c_1100_0^12 + 2502803505026940125466/2561560102682697013219*c_1100_0^11 + 1294761902230568125553/2561560102682697013219*c_1100_0^10 - 3117404699439839929014/2561560102682697013219*c_1100_0^9 + 437846406648772816722/2561560102682697013219*c_1100_0^8 + 13805997440410600742392/2561560102682697013219*c_1100_0^7 + 16933273786930025437574/2561560102682697013219*c_1100_0^6 - 3301854856506855505159/2561560102682697013219*c_1100_0^5 - 20491218201540997115179/2561560102682697013219*c_1100_0^4 - 597118876920925872862/365937157526099573317*c_1100_0^3 + 13126553324730138956407/2561560102682697013219*c_1100_0^2 + 855753826359153210546/2561560102682697013219*c_1100_0 - 4358148490869039000899/2561560102682697013219, c_0011_12 + 35939890948217232657/2561560102682697013219*c_1100_0^16 + 121283668293137870574/2561560102682697013219*c_1100_0^15 + 1073219050829196701/2561560102682697013219*c_1100_0^14 - 185729577156223467806/2561560102682697013219*c_1100_0^13 + 975220971341787856134/2561560102682697013219*c_1100_0^12 + 2201072294012648304481/2561560102682697013219*c_1100_0^11 - 992728275546486178141/2561560102682697013219*c_1100_0^10 - 2881314504372661715615/2561560102682697013219*c_1100_0^9 + 5647334706741994030938/2561560102682697013219*c_1100_0^8 + 12727796609205005387601/2561560102682697013219*c_1100_0^7 + 4452217801267046833422/2561560102682697013219*c_1100_0^6 - 10083900499502197182182/2561560102682697013219*c_1100_0^5 - 4859002153348591303451/2561560102682697013219*c_1100_0^4 + 2274702443418987875426/365937157526099573317*c_1100_0^3 + 1520621251729803872732/2561560102682697013219*c_1100_0^2 - 12357063078907437591580/2561560102682697013219*c_1100_0 + 6498136947904314993605/2561560102682697013219, c_0011_13 + 12168106272078995055/2561560102682697013219*c_1100_0^16 + 16739728975638885385/2561560102682697013219*c_1100_0^15 - 80739756761994929485/2561560102682697013219*c_1100_0^14 - 64385255343247328617/2561560102682697013219*c_1100_0^13 + 461831863152108627720/2561560102682697013219*c_1100_0^12 + 142994244450887239346/2561560102682697013219*c_1100_0^11 - 1788785584800024183460/2561560102682697013219*c_1100_0^10 - 450639659482186554962/2561560102682697013219*c_1100_0^9 + 4125970072934911798668/2561560102682697013219*c_1100_0^8 + 1561177300614391102722/2561560102682697013219*c_1100_0^7 - 7165879576014609910863/2561560102682697013219*c_1100_0^6 - 7791095190887457104136/2561560102682697013219*c_1100_0^5 + 6468749493683467724610/2561560102682697013219*c_1100_0^4 + 1966280096059210872944/365937157526099573317*c_1100_0^3 - 4872377786442924062861/2561560102682697013219*c_1100_0^2 - 8922403699735190290088/2561560102682697013219*c_1100_0 + 4595252443626773778551/2561560102682697013219, c_0011_14 + 23997599686024376166/2561560102682697013219*c_1100_0^16 + 99114390715609102499/2561560102682697013219*c_1100_0^15 + 67796564938988530619/2561560102682697013219*c_1100_0^14 - 122817654567744463874/2561560102682697013219*c_1100_0^13 + 489699709630514993389/2561560102682697013219*c_1100_0^12 + 1890791398688492161231/2561560102682697013219*c_1100_0^11 + 648520454857325593435/2561560102682697013219*c_1100_0^10 - 2496935739019836965222/2561560102682697013219*c_1100_0^9 + 965144005494558699468/2561560102682697013219*c_1100_0^8 + 10370093635907124292322/2561560102682697013219*c_1100_0^7 + 11194698998861821342231/2561560102682697013219*c_1100_0^6 - 3553751848363473566507/2561560102682697013219*c_1100_0^5 - 14512710120224722063894/2561560102682697013219*c_1100_0^4 - 288490712261844541529/365937157526099573317*c_1100_0^3 + 8745790035732999672504/2561560102682697013219*c_1100_0^2 - 307704371895361190562/2561560102682697013219*c_1100_0 - 3034461387569840513465/2561560102682697013219, c_0011_15 + 25040118241422398262/2561560102682697013219*c_1100_0^16 + 42418098929912256557/2561560102682697013219*c_1100_0^15 - 129440635557015761876/2561560102682697013219*c_1100_0^14 - 141018118078888998779/2561560102682697013219*c_1100_0^13 + 829293508408850149788/2561560102682697013219*c_1100_0^12 + 520218814251338330367/2561560102682697013219*c_1100_0^11 - 2939824901574788102180/2561560102682697013219*c_1100_0^10 - 1550008321647388933602/2561560102682697013219*c_1100_0^9 + 6663005477939234311838/2561560102682697013219*c_1100_0^8 + 4591065309801963188341/2561560102682697013219*c_1100_0^7 - 10581600537267046160583/2561560102682697013219*c_1100_0^6 - 15791278630485281563446/2561560102682697013219*c_1100_0^5 + 5580923900548150120006/2561560102682697013219*c_1100_0^4 + 3002402883420986109330/365937157526099573317*c_1100_0^3 - 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