Magma V2.19-8 Wed Aug 21 2013 01:02:16 on localhost [Seed = 509085140] Type ? for help. Type -D to quit. Loading file "L14n14229__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14229 geometric_solution 12.49956020 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 -1 1 0 0 -1 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 0.588808824070 0.838099547475 0 5 7 6 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461510588277 0.778878775649 8 0 5 9 0132 0132 0132 0132 0 1 0 1 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 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 0.776304118251 0.653614429837 8 10 11 0 3201 0132 0132 0132 0 1 0 1 0 -1 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 0 0 0 0 0 -1 0 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 0.415072790616 0.487243309453 12 7 0 8 0132 0132 0132 0132 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 0 0 0 0 1 -1 0 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008224780569 0.788698869070 9 1 12 2 3120 0132 0213 0132 0 1 1 0 0 0 0 0 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 0 0 0 0 0 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 0.485130471511 0.523287077101 8 10 1 9 1230 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420403921722 1.324660944588 12 4 10 1 3120 0132 1230 0132 0 1 1 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 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 0.731457868380 0.581108540856 2 6 4 3 0132 3012 0132 2310 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 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 0.743281500078 0.885106696286 11 6 2 5 0213 2310 0132 3120 0 1 1 0 0 0 -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 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 0.687850411133 0.744701229255 11 3 6 7 2310 0132 2310 3012 0 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 0 0 0 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 0.447558619978 0.937330020177 9 12 10 3 0213 0213 3201 0132 0 1 1 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 -1 0 0 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 0.923364980216 1.245820529721 4 5 11 7 0132 0213 0213 3120 0 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 0 0 0 0 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 0.385129995769 0.621248828883 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_0'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : negation(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_9'], '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' : negation(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' : negation(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' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_0']), '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_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_12'], 'c_0011_6' : d['c_0011_6'], '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_0101_2']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), '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_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_12, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 449819937929271098502834181/559853567742202375950750*c_1001_1^11 + 477428579267285139002810674/279926783871101187975375*c_1001_1^10 + 1219623079492103891025588373/559853567742202375950750*c_1001_1^9 + 526183603568221135734441531/186617855914067458650250*c_1001_1^8 + 1171111644714839083882491391/279926783871101187975375*c_1001_1^7 + 1373210700475394618829835016/279926783871101187975375*c_1001_1^6 + 106835776718537962173206507/24341459467052277215250*c_1001_1^5 + 8105862042592413120287274/4056909911175379535875*c_1001_1^4 - 125041413920023723127538749/559853567742202375950750*c_1001_1^3 - 67591194911969282695485263/559853567742202375950750*c_1001_1^2 + 125364468925693079952661088/279926783871101187975375*c_1001_1 - 10683998423880437661770108/55985356774220237595075, c_0011_0 - 1, c_0011_10 - 309000316075/56319438422*c_1001_1^11 - 246075972737/56319438422*c_1001_1^10 + 466697555683/112638876844*c_1001_1^9 + 972666556109/112638876844*c_1001_1^8 + 949469460541/112638876844*c_1001_1^7 + 551512497086/28159719211*c_1001_1^6 + 4138692168167/112638876844*c_1001_1^5 + 2974393374565/56319438422*c_1001_1^4 + 5180626314961/112638876844*c_1001_1^3 + 812603863507/56319438422*c_1001_1^2 - 34402283037/56319438422*c_1001_1 + 655808632693/112638876844, c_0011_11 - 582111704040/28159719211*c_1001_1^11 - 5701527129689/112638876844*c_1001_1^10 - 2033381314350/28159719211*c_1001_1^9 - 5410010093097/56319438422*c_1001_1^8 - 15578849647639/112638876844*c_1001_1^7 - 19207872305569/112638876844*c_1001_1^6 - 18886657407453/112638876844*c_1001_1^5 - 11883360369457/112638876844*c_1001_1^4 - 3093701627251/112638876844*c_1001_1^3 - 144867888561/28159719211*c_1001_1^2 - 1440710486469/112638876844*c_1001_1 + 92942348537/112638876844, c_0011_12 - 397161025275/56319438422*c_1001_1^11 - 527624939090/28159719211*c_1001_1^10 - 776638216751/28159719211*c_1001_1^9 - 2049997127313/56319438422*c_1001_1^8 - 1457515414105/28159719211*c_1001_1^7 - 3643210991585/56319438422*c_1001_1^6 - 3641035148325/56319438422*c_1001_1^5 - 1185936567514/28159719211*c_1001_1^4 - 319845224857/28159719211*c_1001_1^3 + 3013186596/28159719211*c_1001_1^2 - 81241979040/28159719211*c_1001_1 - 4689146061/28159719211, c_0011_6 + 1036436251729/28159719211*c_1001_1^11 + 9574207282417/112638876844*c_1001_1^10 + 3297753266192/28159719211*c_1001_1^9 + 8581968957525/56319438422*c_1001_1^8 + 24994115101413/112638876844*c_1001_1^7 + 30242915668331/112638876844*c_1001_1^6 + 28725806965029/112638876844*c_1001_1^5 + 16076762797839/112638876844*c_1001_1^4 + 2113447439309/112638876844*c_1001_1^3 - 130251272669/56319438422*c_1001_1^2 + 2184833023645/112638876844*c_1001_1 - 514009515203/112638876844, c_0011_9 - 469853039553/112638876844*c_1001_1^11 + 207963159465/112638876844*c_1001_1^10 + 426990257476/28159719211*c_1001_1^9 + 2735661388377/112638876844*c_1001_1^8 + 1710128431755/56319438422*c_1001_1^7 + 2780736185385/56319438422*c_1001_1^6 + 3925343431053/56319438422*c_1001_1^5 + 2321766883938/28159719211*c_1001_1^4 + 6950576793559/112638876844*c_1001_1^3 + 2144356997037/112638876844*c_1001_1^2 + 80483515423/56319438422*c_1001_1 + 819302174583/112638876844, c_0101_0 + 2693654076515/112638876844*c_1001_1^11 + 3879323950017/112638876844*c_1001_1^10 + 2562727591111/112638876844*c_1001_1^9 + 1221392097371/56319438422*c_1001_1^8 + 4665439310265/112638876844*c_1001_1^7 + 768157087322/28159719211*c_1001_1^6 - 1995271086305/112638876844*c_1001_1^5 - 2525426931695/28159719211*c_1001_1^4 - 5979452193041/56319438422*c_1001_1^3 - 3960914252807/112638876844*c_1001_1^2 + 214361120330/28159719211*c_1001_1 - 424950454046/28159719211, c_0101_1 - 1, c_0101_10 + 527308750599/28159719211*c_1001_1^11 + 4521884919989/112638876844*c_1001_1^10 + 5769785642519/112638876844*c_1001_1^9 + 7381147282233/112638876844*c_1001_1^8 + 5425809542381/56319438422*c_1001_1^7 + 12727120934455/112638876844*c_1001_1^6 + 2829366573236/28159719211*c_1001_1^5 + 4839899887525/112638876844*c_1001_1^4 - 287523475783/28159719211*c_1001_1^3 - 416869220581/56319438422*c_1001_1^2 + 947544866103/112638876844*c_1001_1 - 122701943752/28159719211, c_0101_2 - 2723343135956/93143686621*c_1001_1^11 - 23038404941973/372574746484*c_1001_1^10 - 7273906645163/93143686621*c_1001_1^9 - 9342297330637/93143686621*c_1001_1^8 - 55510246352039/372574746484*c_1001_1^7 - 64950722274817/372574746484*c_1001_1^6 - 57416832956583/372574746484*c_1001_1^5 - 24535451493545/372574746484*c_1001_1^4 + 5183112310895/372574746484*c_1001_1^3 + 1299877759413/186287373242*c_1001_1^2 - 6079909571781/372574746484*c_1001_1 + 2477833109137/372574746484, c_0101_7 - 639053970651/56319438422*c_1001_1^11 - 2710488025805/112638876844*c_1001_1^10 - 1696371204585/56319438422*c_1001_1^9 - 1103398007913/28159719211*c_1001_1^8 - 6457142617541/112638876844*c_1001_1^7 - 7600025539833/112638876844*c_1001_1^6 - 6677222017275/112638876844*c_1001_1^5 - 2812854416585/112638876844*c_1001_1^4 + 741208712919/112638876844*c_1001_1^3 + 188046818259/56319438422*c_1001_1^2 - 634204916339/112638876844*c_1001_1 + 279585782085/112638876844, c_1001_0 - 2257382594993/112638876844*c_1001_1^11 - 1305500006232/28159719211*c_1001_1^10 - 1752762279185/28159719211*c_1001_1^9 - 9144142114501/112638876844*c_1001_1^8 - 13322406487731/112638876844*c_1001_1^7 - 16082543316881/112638876844*c_1001_1^6 - 15029460986883/112638876844*c_1001_1^5 - 8178180674147/112638876844*c_1001_1^4 - 309928287733/56319438422*c_1001_1^3 + 314589171139/112638876844*c_1001_1^2 - 1177316463023/112638876844*c_1001_1 + 163657116559/56319438422, c_1001_1^12 + 84/41*c_1001_1^11 + 111/41*c_1001_1^10 + 151/41*c_1001_1^9 + 225/41*c_1001_1^8 + 264/41*c_1001_1^7 + 248/41*c_1001_1^6 + 138/41*c_1001_1^5 + 33/41*c_1001_1^4 + 28/41*c_1001_1^3 + 33/41*c_1001_1^2 - 9/41*c_1001_1 + 5/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.490 seconds, Total memory usage: 32.09MB