Magma V2.19-8 Wed Aug 21 2013 01:04:15 on localhost [Seed = 4240106662] Type ? for help. Type -D to quit. Loading file "L14n24003__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24003 geometric_solution 12.07646664 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 1 1 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 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 0.300614753997 0.937914111059 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857282206790 0.986022500812 7 0 0 8 0132 0132 0321 0132 0 1 1 1 0 0 0 0 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 -1 0 1 -1 0 1 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 0.300614753997 0.937914111059 9 10 0 10 0132 0132 0132 0213 0 1 1 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 0 0 0 0 0 1 -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 0.133377505450 1.694049743827 11 1 7 11 0132 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691649163886 0.643699054614 8 8 1 10 3201 2103 0132 1302 1 1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552620906560 0.570454912699 11 12 9 1 3012 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760756097408 0.762006041541 2 4 12 8 0132 3201 2103 3120 1 1 1 1 0 0 1 -1 -1 0 0 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 1 0 -1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524630682230 0.416043682039 7 5 2 5 3120 2103 0132 2310 0 1 1 1 0 1 0 -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 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 0.123948465642 0.904323190853 3 6 12 11 0132 1230 0321 3012 1 1 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 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 0.050743743451 0.734580800580 12 3 5 3 3120 0132 2031 0213 0 1 1 1 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 -1 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 0.133377505450 1.694049743827 4 4 9 6 0132 2310 1230 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977101772536 0.887394911976 7 6 9 10 2103 0132 0321 3120 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 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 1 0 0 -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 -0.197970501544 1.025759181648 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_1100_9' : d['c_1001_1'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0110_5']), 'c_1100_8' : d['c_0011_5'], '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_0101_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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_12'], '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_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_12']), 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_1']})} 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_10, c_0011_12, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 6783238424520578370083869/76174796156921370262728264*c_1001_2^15 - 106163762921075334727302835/152349592313842740525456528*c_1001_2^14 - 50757036049662330270710207/19043699039230342565682066*c_1001_2^13 - 324130333542158862392458145/50783197437947580175152176*c_1001_2^1\ 2 - 794452054157181668332782913/76174796156921370262728264*c_1001_2\ ^11 - 342901605486559721422966689/25391598718973790087576088*c_1001\ _2^10 - 1582023159384646432676903741/76174796156921370262728264*c_1\ 001_2^9 - 2034694294163133069897957941/50783197437947580175152176*c\ _1001_2^8 - 2818748332402490020881374393/38087398078460685131364132\ *c_1001_2^7 - 16492755632041975818009160597/15234959231384274052545\ 6528*c_1001_2^6 - 441733899030209915760316920/317394983987172376094\ 7011*c_1001_2^5 - 406121151098540895581634643/258219647989563966992\ 2992*c_1001_2^4 - 563936318135309579225873171/346249073440551683012\ 4012*c_1001_2^3 - 1269660649777368854249539241/95218495196151712828\ 41033*c_1001_2^2 - 6357472182912213073735331611/7617479615692137026\ 2728264*c_1001_2 - 1524818156373685913421392031/5078319743794758017\ 5152176, c_0011_0 - 1, c_0011_10 + 2293972187271977/2325393798837134*c_1001_2^15 + 11769775336538385/2325393798837134*c_1001_2^14 + 21908291690737651/2325393798837134*c_1001_2^13 + 8895968161511694/1162696899418567*c_1001_2^12 + 19170878254833927/2325393798837134*c_1001_2^11 + 30690014468257024/1162696899418567*c_1001_2^10 + 146218746634416775/2325393798837134*c_1001_2^9 + 90502476863241230/1162696899418567*c_1001_2^8 + 114790215411248733/1162696899418567*c_1001_2^7 + 269772173852803975/2325393798837134*c_1001_2^6 + 179233728842413743/1162696899418567*c_1001_2^5 + 127447579539558116/1162696899418567*c_1001_2^4 + 86583662906046865/1162696899418567*c_1001_2^3 + 12329564625748213/1162696899418567*c_1001_2^2 + 10302930836394708/1162696899418567*c_1001_2 + 41087035140564715/1162696899418567, c_0011_12 - 373132563899133/1162696899418567*c_1001_2^15 - 3807721599196313/2325393798837134*c_1001_2^14 - 3509173972067979/1162696899418567*c_1001_2^13 - 5620381774936131/2325393798837134*c_1001_2^12 - 6244579922980825/2325393798837134*c_1001_2^11 - 20036796034910615/2325393798837134*c_1001_2^10 - 46974968797056719/2325393798837134*c_1001_2^9 - 57482844986369465/2325393798837134*c_1001_2^8 - 73832195135946531/2325393798837134*c_1001_2^7 - 87321419965181907/2325393798837134*c_1001_2^6 - 115274825261904203/2325393798837134*c_1001_2^5 - 80907824822548597/2325393798837134*c_1001_2^4 - 27800872159175090/1162696899418567*c_1001_2^3 - 7851855252703935/2325393798837134*c_1001_2^2 - 3564886185517254/1162696899418567*c_1001_2 - 25623513866851783/2325393798837134, c_0011_5 - 1, c_0011_8 - 2306843581698793/2325393798837134*c_1001_2^15 - 11813734076135785/2325393798837134*c_1001_2^14 - 21880894271093273/2325393798837134*c_1001_2^13 - 8762230423803560/1162696899418567*c_1001_2^12 - 18965882988139591/2325393798837134*c_1001_2^11 - 61709889554150137/2325393798837134*c_1001_2^10 - 146454378440427509/2325393798837134*c_1001_2^9 - 89907662259377359/1162696899418567*c_1001_2^8 - 228105732023970133/2325393798837134*c_1001_2^7 - 134525515498483435/1162696899418567*c_1001_2^6 - 357234486293689669/2325393798837134*c_1001_2^5 - 252068809464973093/2325393798837134*c_1001_2^4 - 171929569843572721/2325393798837134*c_1001_2^3 - 13305738919072564/1162696899418567*c_1001_2^2 - 22999579269957651/2325393798837134*c_1001_2 - 85103402385986503/2325393798837134, c_0101_0 - 505221582123271/1162696899418567*c_1001_2^15 - 2583813277658882/1162696899418567*c_1001_2^14 - 4770721853643867/1162696899418567*c_1001_2^13 - 7594491567155631/2325393798837134*c_1001_2^12 - 4133210751321538/1162696899418567*c_1001_2^11 - 26972487132115781/2325393798837134*c_1001_2^10 - 31908483823219034/1162696899418567*c_1001_2^9 - 39111492826465418/1162696899418567*c_1001_2^8 - 99467638012462565/2325393798837134*c_1001_2^7 - 58613496072442656/1162696899418567*c_1001_2^6 - 155020840967471083/2325393798837134*c_1001_2^5 - 109136038130297209/2325393798837134*c_1001_2^4 - 74388506475208083/2325393798837134*c_1001_2^3 - 11741608276784859/2325393798837134*c_1001_2^2 - 9128139608455999/2325393798837134*c_1001_2 - 19168693551754193/1162696899418567, c_0101_1 + 447516215080744/1162696899418567*c_1001_2^15 + 2302380296081927/1162696899418567*c_1001_2^14 + 8572599060789041/2325393798837134*c_1001_2^13 + 3445112980527527/1162696899418567*c_1001_2^12 + 7382580452266647/2325393798837134*c_1001_2^11 + 12045793821505543/1162696899418567*c_1001_2^10 + 28588199178052896/1162696899418567*c_1001_2^9 + 70286813580956491/2325393798837134*c_1001_2^8 + 44451706680704628/1162696899418567*c_1001_2^7 + 105673495408136753/2325393798837134*c_1001_2^6 + 139432980274352123/2325393798837134*c_1001_2^5 + 98397274610950599/2325393798837134*c_1001_2^4 + 65052072205952333/2325393798837134*c_1001_2^3 + 10070280512228299/2325393798837134*c_1001_2^2 + 4223752961088298/1162696899418567*c_1001_2 + 15661869045821401/1162696899418567, c_0101_10 + 73472569062310/1162696899418567*c_1001_2^15 + 797000740089781/2325393798837134*c_1001_2^14 + 814542349828519/1162696899418567*c_1001_2^13 + 789390372296126/1162696899418567*c_1001_2^12 + 1630774781129597/2325393798837134*c_1001_2^11 + 2208137146128712/1162696899418567*c_1001_2^10 + 10679646944351365/2325393798837134*c_1001_2^9 + 14420951719842579/2325393798837134*c_1001_2^8 + 9200162720740240/1162696899418567*c_1001_2^7 + 22636635230411513/2325393798837134*c_1001_2^6 + 14662961490609623/1162696899418567*c_1001_2^5 + 12154189005197521/1162696899418567*c_1001_2^4 + 16859888337388729/2325393798837134*c_1001_2^3 + 3426848977664324/1162696899418567*c_1001_2^2 + 1998439473626661/2325393798837134*c_1001_2 + 6448343569904579/2325393798837134, c_0101_11 - 1399474833452487/2325393798837134*c_1001_2^15 - 3600597735842574/1162696899418567*c_1001_2^14 - 13447326591789845/2325393798837134*c_1001_2^13 - 10918690976300741/2325393798837134*c_1001_2^12 - 11659087727804261/2325393798837134*c_1001_2^11 - 37652879137998143/2325393798837134*c_1001_2^10 - 89750737324939887/2325393798837134*c_1001_2^9 - 110850664205310103/2325393798837134*c_1001_2^8 - 140208130730613765/2325393798837134*c_1001_2^7 - 165867016600443775/2325393798837134*c_1001_2^6 - 220414096642259781/2325393798837134*c_1001_2^5 - 77964014491586337/1162696899418567*c_1001_2^4 - 105829917542268029/2325393798837134*c_1001_2^3 - 8168071816708659/1162696899418567*c_1001_2^2 - 12860927612793209/2325393798837134*c_1001_2 - 24792382479125436/1162696899418567, c_0101_12 - 580838601688246/1162696899418567*c_1001_2^15 - 2979810028006205/1162696899418567*c_1001_2^14 - 5547927145976562/1162696899418567*c_1001_2^13 - 4522695773368069/1162696899418567*c_1001_2^12 - 9830666483491749/2325393798837134*c_1001_2^11 - 15615301706078826/1162696899418567*c_1001_2^10 - 74093429561639023/2325393798837134*c_1001_2^9 - 45923888803005930/1162696899418567*c_1001_2^8 - 58469392257159910/1162696899418567*c_1001_2^7 - 137514511476341803/2325393798837134*c_1001_2^6 - 91242863163124812/1162696899418567*c_1001_2^5 - 130751751063145949/2325393798837134*c_1001_2^4 - 89510763647082923/2325393798837134*c_1001_2^3 - 13898960981405309/2325393798837134*c_1001_2^2 - 10330258587368489/2325393798837134*c_1001_2 - 41985657340109649/2325393798837134, c_0110_5 + 9134032381065/12991026809146*c_1001_2^15 + 46994271695145/12991026809146*c_1001_2^14 + 43777134766830/6495513404573*c_1001_2^13 + 35195352100761/6495513404573*c_1001_2^12 + 37313231492750/6495513404573*c_1001_2^11 + 244008122577833/12991026809146*c_1001_2^10 + 582926407004561/12991026809146*c_1001_2^9 + 718946599820541/12991026809146*c_1001_2^8 + 905422865582617/12991026809146*c_1001_2^7 + 1066374860927703/12991026809146*c_1001_2^6 + 706837830843219/6495513404573*c_1001_2^5 + 498936554793328/6495513404573*c_1001_2^4 + 328566179010722/6495513404573*c_1001_2^3 + 79405694723001/12991026809146*c_1001_2^2 + 64172626234601/12991026809146*c_1001_2 + 321644518892255/12991026809146, c_1001_1 + 173526573708497/1162696899418567*c_1001_2^15 + 1804079966968651/2325393798837134*c_1001_2^14 + 3416208320792639/2325393798837134*c_1001_2^13 + 1431168562951460/1162696899418567*c_1001_2^12 + 1546539449170717/1162696899418567*c_1001_2^11 + 9600054538025939/2325393798837134*c_1001_2^10 + 22684754368870281/2325393798837134*c_1001_2^9 + 14288945016181144/1162696899418567*c_1001_2^8 + 36253259853722961/2325393798837134*c_1001_2^7 + 43614111129468387/2325393798837134*c_1001_2^6 + 28496738405806811/1162696899418567*c_1001_2^5 + 20974536792783744/1162696899418567*c_1001_2^4 + 27814763964519467/2325393798837134*c_1001_2^3 + 7167464540248341/2325393798837134*c_1001_2^2 + 2040451472647756/1162696899418567*c_1001_2 + 6010562382813600/1162696899418567, c_1001_2^16 + 6*c_1001_2^15 + 14*c_1001_2^14 + 16*c_1001_2^13 + 15*c_1001_2^12 + 34*c_1001_2^11 + 87*c_1001_2^10 + 134*c_1001_2^9 + 168*c_1001_2^8 + 204*c_1001_2^7 + 258*c_1001_2^6 + 246*c_1001_2^5 + 171*c_1001_2^4 + 76*c_1001_2^3 + 19*c_1001_2^2 + 44*c_1001_2 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.220 Total time: 1.429 seconds, Total memory usage: 32.09MB