Magma V2.19-8 Tue Aug 20 2013 23:58:18 on localhost [Seed = 576998040] Type ? for help. Type -D to quit. Loading file "L14n39337__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39337 geometric_solution 11.73315328 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482266073070 0.772070420918 0 5 2 4 0132 0132 3201 3201 1 0 0 1 0 -1 1 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 -2 2 0 0 0 0 0 1 -4 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587542240207 1.031839859150 1 0 7 6 2310 0132 0132 0132 0 1 0 1 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 1 0 -1 1 0 -1 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439340193828 0.814181214381 8 8 9 0 0132 0213 0132 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 -1 0 1 0 0 1 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864238442925 0.951285011929 5 1 0 8 0132 2310 0132 2031 0 0 0 1 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 -3 -1 4 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482266073070 0.772070420918 4 1 7 6 0132 0132 2310 2310 1 0 1 0 0 1 0 -1 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 2 0 -2 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439340193828 0.814181214381 5 10 2 11 3201 0132 0132 0132 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 0 0 0 0 0 -1 1 0 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 0.187950406215 0.783915503661 11 5 9 2 0132 3201 2310 0132 0 1 1 0 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 -1 1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187950406215 0.783915503661 3 4 3 10 0132 1302 0213 0213 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 1 0 -1 0 4 -4 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476806136379 0.575890235930 11 7 10 3 3201 3201 1023 0132 0 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 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 0.232068737792 0.822609862094 11 6 9 8 1023 0132 1023 0213 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232068737792 0.822609862094 7 10 6 9 0132 1023 0132 2310 0 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 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631271092938 1.840800523056 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_1010_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_1010_8'], 's_3_1' : d['1'], 's_3_0' : negation(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' : 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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(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' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_1010_8']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} 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_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 12972854661550317309/1425507072897319088*c_1010_8^11 - 589021503877729133373/5702028291589276352*c_1010_8^10 + 45998367759185439697/167706714458508128*c_1010_8^9 + 547986368890954656579/1425507072897319088*c_1010_8^8 - 94608584836934371571/83853357229254064*c_1010_8^7 - 13192369135940952422087/5702028291589276352*c_1010_8^6 - 825005867214436757507/2851014145794638176*c_1010_8^5 + 1325837914552239995211/712753536448659544*c_1010_8^4 + 313648745595532204017/356376768224329772*c_1010_8^3 - 425148486652745703339/712753536448659544*c_1010_8^2 - 32834798260760232882/89094192056082443*c_1010_8 + 6303562401379369690/89094192056082443, c_0011_0 - 1, c_0011_10 - 2352539602478979/41926678614627032*c_1010_8^11 + 98671068289927983/167706714458508128*c_1010_8^10 - 188965133459171889/167706714458508128*c_1010_8^9 - 84184131496104925/20963339307313516*c_1010_8^8 + 119047456667185125/20963339307313516*c_1010_8^7 + 3324252473826703789/167706714458508128*c_1010_8^6 + 1844765437944838441/167706714458508128*c_1010_8^5 - 169065506975261605/20963339307313516*c_1010_8^4 - 95999006863329393/10481669653656758*c_1010_8^3 + 14181795347399207/20963339307313516*c_1010_8^2 + 26255163052793379/10481669653656758*c_1010_8 + 13326278861203915/10481669653656758, c_0011_3 - 1, c_0011_9 - 2352539602478979/41926678614627032*c_1010_8^11 + 98671068289927983/167706714458508128*c_1010_8^10 - 188965133459171889/167706714458508128*c_1010_8^9 - 84184131496104925/20963339307313516*c_1010_8^8 + 119047456667185125/20963339307313516*c_1010_8^7 + 3324252473826703789/167706714458508128*c_1010_8^6 + 1844765437944838441/167706714458508128*c_1010_8^5 - 169065506975261605/20963339307313516*c_1010_8^4 - 95999006863329393/10481669653656758*c_1010_8^3 + 14181795347399207/20963339307313516*c_1010_8^2 + 26255163052793379/10481669653656758*c_1010_8 + 13326278861203915/10481669653656758, c_0101_1 - 742309851381009/167706714458508128*c_1010_8^11 + 25629893603852409/670826857834032512*c_1010_8^10 + 1640713295202343/167706714458508128*c_1010_8^9 - 105266159388674177/167706714458508128*c_1010_8^8 + 46387400779750559/167706714458508128*c_1010_8^7 + 1882856906238376355/670826857834032512*c_1010_8^6 + 44514301446229541/20963339307313516*c_1010_8^5 - 122876921949629471/83853357229254064*c_1010_8^4 - 167358791960493289/83853357229254064*c_1010_8^3 - 15406063776156983/20963339307313516*c_1010_8^2 - 17956487957144477/41926678614627032*c_1010_8 + 1486367781368018/5240834826828379, c_0101_10 - 10632515385497253/83853357229254064*c_1010_8^11 + 496519008506809293/335413428917016256*c_1010_8^10 - 364355733201270383/83853357229254064*c_1010_8^9 - 286647628351309159/83853357229254064*c_1010_8^8 + 1274756913251523999/83853357229254064*c_1010_8^7 + 8764345061966821023/335413428917016256*c_1010_8^6 + 100884666785162793/41926678614627032*c_1010_8^5 - 398723525729299327/20963339307313516*c_1010_8^4 - 449087030297432271/41926678614627032*c_1010_8^3 + 19075145496624031/5240834826828379*c_1010_8^2 + 92536847944153587/20963339307313516*c_1010_8 + 3498777488881014/5240834826828379, c_0101_11 + 1628950384205907/83853357229254064*c_1010_8^11 - 63881403485282127/335413428917016256*c_1010_8^10 + 79057297330549253/335413428917016256*c_1010_8^9 + 77148738056222845/41926678614627032*c_1010_8^8 - 65939562702903091/41926678614627032*c_1010_8^7 - 2887565124807150957/335413428917016256*c_1010_8^6 - 2115461029862459997/335413428917016256*c_1010_8^5 + 126153312201522405/41926678614627032*c_1010_8^4 + 21133263517403309/5240834826828379*c_1010_8^3 - 16109797144386717/41926678614627032*c_1010_8^2 - 28421393197676675/20963339307313516*c_1010_8 + 7281210274947615/20963339307313516, c_0101_3 - 75075160980765/10481669653656758*c_1010_8^11 + 3812431809296877/41926678614627032*c_1010_8^10 - 6879565763986571/20963339307313516*c_1010_8^9 + 111902063024345/5240834826828379*c_1010_8^8 + 6372365441950097/5240834826828379*c_1010_8^7 + 16529674074247203/41926678614627032*c_1010_8^6 - 32141991035887635/20963339307313516*c_1010_8^5 - 4351333012207944/5240834826828379*c_1010_8^4 - 403651682831903/10481669653656758*c_1010_8^3 - 3017800423164944/5240834826828379*c_1010_8^2 + 5242582905434379/5240834826828379*c_1010_8 + 4745961592574373/5240834826828379, c_0101_5 + 105822143587503/10481669653656758*c_1010_8^11 - 4884984391864587/41926678614627032*c_1010_8^10 + 13717827504182517/41926678614627032*c_1010_8^9 + 1870750422994865/5240834826828379*c_1010_8^8 - 13809216098240823/10481669653656758*c_1010_8^7 - 92642163180641005/41926678614627032*c_1010_8^6 + 3389915907630119/41926678614627032*c_1010_8^5 + 6376715681226856/5240834826828379*c_1010_8^4 + 5531150555442127/5240834826828379*c_1010_8^3 - 5071599947836133/10481669653656758*c_1010_8^2 + 1084863151047648/5240834826828379*c_1010_8 - 316948148673013/5240834826828379, c_1001_0 - 105822143587503/10481669653656758*c_1010_8^11 + 4884984391864587/41926678614627032*c_1010_8^10 - 13717827504182517/41926678614627032*c_1010_8^9 - 1870750422994865/5240834826828379*c_1010_8^8 + 13809216098240823/10481669653656758*c_1010_8^7 + 92642163180641005/41926678614627032*c_1010_8^6 - 3389915907630119/41926678614627032*c_1010_8^5 - 6376715681226856/5240834826828379*c_1010_8^4 - 5531150555442127/5240834826828379*c_1010_8^3 + 5071599947836133/10481669653656758*c_1010_8^2 - 1084863151047648/5240834826828379*c_1010_8 + 316948148673013/5240834826828379, c_1001_2 - 742309851381009/167706714458508128*c_1010_8^11 + 25629893603852409/670826857834032512*c_1010_8^10 + 1640713295202343/167706714458508128*c_1010_8^9 - 105266159388674177/167706714458508128*c_1010_8^8 + 46387400779750559/167706714458508128*c_1010_8^7 + 1882856906238376355/670826857834032512*c_1010_8^6 + 44514301446229541/20963339307313516*c_1010_8^5 - 122876921949629471/83853357229254064*c_1010_8^4 - 167358791960493289/83853357229254064*c_1010_8^3 - 15406063776156983/20963339307313516*c_1010_8^2 - 17956487957144477/41926678614627032*c_1010_8 + 1486367781368018/5240834826828379, c_1010_8^12 - 41/4*c_1010_8^11 + 55/3*c_1010_8^10 + 203/3*c_1010_8^9 - 173/3*c_1010_8^8 - 4313/12*c_1010_8^7 - 1172/3*c_1010_8^6 - 46/3*c_1010_8^5 + 790/3*c_1010_8^4 + 472/3*c_1010_8^3 - 100/3*c_1010_8^2 - 64*c_1010_8 - 64/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB