Magma V2.19-8 Wed Aug 21 2013 01:01:59 on localhost [Seed = 1208898530] Type ? for help. Type -D to quit. Loading file "L14n13623__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13623 geometric_solution 11.99303463 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 1 0132 0132 3201 3201 1 1 1 1 0 0 0 0 -1 0 1 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 13 0 -13 0 0 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058025323359 0.790280629982 0 0 4 3 0132 2310 0132 0132 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 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092410194551 1.258588191137 0 0 6 5 2310 0132 0132 0132 1 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 1 0 13 0 -13 0 13 -13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092410194551 1.258588191137 5 5 1 7 0213 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 1 -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 0 0 0 12 0 0 -12 12 -12 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429190560136 0.890834522764 8 9 7 1 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 13 -13 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.231112904925 0.864837306486 3 3 2 8 0213 0132 0132 3012 1 1 1 1 0 0 0 0 1 0 0 -1 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 0 0 0 -12 0 0 12 -12 12 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429190560136 0.890834522764 7 10 11 2 1302 0132 0132 0132 1 1 1 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 1 0 -1 0 0 -13 13 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747561487862 1.107094642096 10 6 3 4 0321 2031 0132 0132 1 1 0 1 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 1 0 12 -13 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.231112904925 0.864837306486 4 12 5 9 0132 0132 1230 1023 1 1 0 1 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 12 -12 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 0.195782297039 0.858623077096 12 4 10 8 0132 0132 3120 1023 1 1 0 1 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 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 0.020803593985 1.126068922379 7 6 9 11 0321 0132 3120 3120 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 0 0 0 0 0 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 0.439721313665 0.505676392177 10 12 12 6 3120 1230 2031 0132 1 1 0 1 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 -13 13 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439721313665 0.505676392177 9 8 11 11 0132 0132 3012 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 -12 -1 13 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 0.020803593985 1.126068922379 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : negation(d['c_1001_8']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_11' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0101_10'], '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' : d['c_0101_11'], '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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_7'], '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_0011_7']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_1, c_1001_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 260840679138314904048111/2701596464321922459608*c_1100_1^15 - 666799033294175144518409/2701596464321922459608*c_1100_1^14 + 1645151841206483817170501/1350798232160961229804*c_1100_1^13 - 22630044138568863128219235/21612771714575379676864*c_1100_1^12 + 104576817293007134183611325/21612771714575379676864*c_1100_1^11 - 236329681016643443699199263/86451086858301518707456*c_1100_1^10 - 182970973455931957694537709/43225543429150759353728*c_1100_1^9 + 309234008487236591641310313/43225543429150759353728*c_1100_1^8 - 22488758745530891822367557/43225543429150759353728*c_1100_1^7 - 83975002130756010183716097/21612771714575379676864*c_1100_1^6 + 191338266297258625120975777/43225543429150759353728*c_1100_1^5 - 16448555044956504992093315/43225543429150759353728*c_1100_1^4 - 170211308450573628188311057/43225543429150759353728*c_1100_1^3 + 45778399465078158216059219/86451086858301518707456*c_1100_1^2 + 3658117681934836334711307/5403192928643844919216*c_1100_1 - 2149811675512388887254077/5403192928643844919216, c_0011_0 - 1, c_0011_10 + 2831753752703402310537/6753991160804806149020*c_1100_1^15 - 1215608897749793017311/1350798232160961229804*c_1100_1^14 + 15982364912355227976241/3376995580402403074510*c_1100_1^13 - 112591443297293151100821/54031929286438449192160*c_1100_1^12 + 954034697476739719450999/54031929286438449192160*c_1100_1^11 - 418745136506510714426249/216127717145753796768640*c_1100_1^10 - 636794394066693781674881/21612771714575379676864*c_1100_1^9 + 2948524140560003123494351/108063858572876898384320*c_1100_1^8 + 1523457557805750142929663/108063858572876898384320*c_1100_1^7 - 1300211439203535198651873/54031929286438449192160*c_1100_1^6 + 1461106867531226547594417/108063858572876898384320*c_1100_1^5 + 953524780916887567507307/108063858572876898384320*c_1100_1^4 - 2363062284900025986771281/108063858572876898384320*c_1100_1^3 - 131841301281155627709687/43225543429150759353728*c_1100_1^2 + 18048422598876214652325/2701596464321922459608*c_1100_1 + 943469858686062782149/6753991160804806149020, c_0011_11 - 4190437612225792938449/3376995580402403074510*c_1100_1^15 + 2053031748289109320523/675399116080480614902*c_1100_1^14 - 25467656440815247293457/1688497790201201537255*c_1100_1^13 + 310180955788434263348797/27015964643219224596080*c_1100_1^12 - 1580745755903866621250403/27015964643219224596080*c_1100_1^11 + 3189846645089884457879313/108063858572876898384320*c_1100_1^10 + 725157295557834478305567/10806385857287689838432*c_1100_1^9 - 4218241176666857280454217/54031929286438449192160*c_1100_1^8 - 1080860142657735678414461/54031929286438449192160*c_1100_1^7 + 776167514325853691493873/13507982321609612298040*c_1100_1^6 - 2071026457217223405844079/54031929286438449192160*c_1100_1^5 - 465674247791807115906689/54031929286438449192160*c_1100_1^4 + 2974431330411957985896287/54031929286438449192160*c_1100_1^3 + 121476333591026600419515/21612771714575379676864*c_1100_1^2 - 24644140119783135643941/1350798232160961229804*c_1100_1 - 13371098702008885919823/3376995580402403074510, c_0011_12 - 1, c_0011_3 - 3621395761340154381211/1350798232160961229804*c_1100_1^15 + 9106981526119373338333/1350798232160961229804*c_1100_1^14 - 11127147269542100725193/337699558040240307451*c_1100_1^13 + 288783690715836856866031/10806385857287689838432*c_1100_1^12 - 1372868685412440224296465/10806385857287689838432*c_1100_1^11 + 3050030728705163913753459/43225543429150759353728*c_1100_1^10 + 3147877108313150777799997/21612771714575379676864*c_1100_1^9 - 62058236874933184763966/337699558040240307451*c_1100_1^8 - 620629877665684566806643/21612771714575379676864*c_1100_1^7 + 2733212908063112336012579/21612771714575379676864*c_1100_1^6 - 1978605840264858206492785/21612771714575379676864*c_1100_1^5 - 122249988062903382646957/10806385857287689838432*c_1100_1^4 + 2551838185540434929841465/21612771714575379676864*c_1100_1^3 + 177529730761306992595007/43225543429150759353728*c_1100_1^2 - 13823262429740334936841/337699558040240307451*c_1100_1 - 8360811846912061992965/1350798232160961229804, c_0011_7 + 1, c_0101_1 - 826847429092711/3959085001622152*c_1100_1^15 + 2007263563012283/3959085001622152*c_1100_1^14 - 4861409346655331/1979542500811076*c_1100_1^13 + 54442282720279163/31672680012977216*c_1100_1^12 - 283264796881463431/31672680012977216*c_1100_1^11 + 537031035065308871/126690720051908864*c_1100_1^10 + 118923239977986545/7918170003244304*c_1100_1^9 - 219390794894087329/15836340006488608*c_1100_1^8 - 3037711388187065/494885625202769*c_1100_1^7 + 845867113312342791/63345360025954432*c_1100_1^6 - 40342189706437409/7918170003244304*c_1100_1^5 - 108625504511597679/31672680012977216*c_1100_1^4 + 373016860858959003/31672680012977216*c_1100_1^3 + 243389723018129475/126690720051908864*c_1100_1^2 - 44976509373118155/7918170003244304*c_1100_1 - 5770837534887317/3959085001622152, c_0101_10 + 323091051497722337219/2701596464321922459608*c_1100_1^15 - 1251150769464709256781/2701596464321922459608*c_1100_1^14 + 2653573328582831067881/1350798232160961229804*c_1100_1^13 - 74205907650933770248231/21612771714575379676864*c_1100_1^12 + 182790992578951151492497/21612771714575379676864*c_1100_1^11 - 1051728248716982517269363/86451086858301518707456*c_1100_1^10 + 116037513058186823858483/43225543429150759353728*c_1100_1^9 + 552567279322696720158361/43225543429150759353728*c_1100_1^8 - 496469239835935599013333/43225543429150759353728*c_1100_1^7 - 40826546017086411058459/21612771714575379676864*c_1100_1^6 + 447987749110518801978593/43225543429150759353728*c_1100_1^5 - 323314313090005061001043/43225543429150759353728*c_1100_1^4 - 81619042929902114413049/43225543429150759353728*c_1100_1^3 + 459546609999551281125039/86451086858301518707456*c_1100_1^2 - 4282217374086780443367/5403192928643844919216*c_1100_1 - 2836654872059287467353/2701596464321922459608, c_0101_11 + 36166472912666197877/337699558040240307451*c_1100_1^15 - 541292251060866686663/1350798232160961229804*c_1100_1^14 + 588504442661021677252/337699558040240307451*c_1100_1^13 - 8084058296817810113725/2701596464321922459608*c_1100_1^12 + 84222229246475735376011/10806385857287689838432*c_1100_1^11 - 119188443361722308723733/10806385857287689838432*c_1100_1^10 + 159962372601519107726691/43225543429150759353728*c_1100_1^9 + 326440753706192224766543/43225543429150759353728*c_1100_1^8 - 338667786885563757764893/43225543429150759353728*c_1100_1^7 - 2343440003790590171793/43225543429150759353728*c_1100_1^6 + 237499183743683588013425/43225543429150759353728*c_1100_1^5 - 184633088123790646145227/43225543429150759353728*c_1100_1^4 - 60987512149995462343667/43225543429150759353728*c_1100_1^3 + 107549495144328742673521/43225543429150759353728*c_1100_1^2 + 1228369419237060854105/2701596464321922459608*c_1100_1 - 603831135138809046287/1350798232160961229804, c_0101_2 - 826847429092711/3959085001622152*c_1100_1^15 + 2007263563012283/3959085001622152*c_1100_1^14 - 4861409346655331/1979542500811076*c_1100_1^13 + 54442282720279163/31672680012977216*c_1100_1^12 - 283264796881463431/31672680012977216*c_1100_1^11 + 537031035065308871/126690720051908864*c_1100_1^10 + 118923239977986545/7918170003244304*c_1100_1^9 - 219390794894087329/15836340006488608*c_1100_1^8 - 3037711388187065/494885625202769*c_1100_1^7 + 845867113312342791/63345360025954432*c_1100_1^6 - 40342189706437409/7918170003244304*c_1100_1^5 - 108625504511597679/31672680012977216*c_1100_1^4 + 373016860858959003/31672680012977216*c_1100_1^3 + 243389723018129475/126690720051908864*c_1100_1^2 - 44976509373118155/7918170003244304*c_1100_1 - 5770837534887317/3959085001622152, c_1001_1 + 323091051497722337219/2701596464321922459608*c_1100_1^15 - 1251150769464709256781/2701596464321922459608*c_1100_1^14 + 2653573328582831067881/1350798232160961229804*c_1100_1^13 - 74205907650933770248231/21612771714575379676864*c_1100_1^12 + 182790992578951151492497/21612771714575379676864*c_1100_1^11 - 1051728248716982517269363/86451086858301518707456*c_1100_1^10 + 116037513058186823858483/43225543429150759353728*c_1100_1^9 + 552567279322696720158361/43225543429150759353728*c_1100_1^8 - 496469239835935599013333/43225543429150759353728*c_1100_1^7 - 40826546017086411058459/21612771714575379676864*c_1100_1^6 + 447987749110518801978593/43225543429150759353728*c_1100_1^5 - 323314313090005061001043/43225543429150759353728*c_1100_1^4 - 81619042929902114413049/43225543429150759353728*c_1100_1^3 + 459546609999551281125039/86451086858301518707456*c_1100_1^2 - 4282217374086780443367/5403192928643844919216*c_1100_1 - 2836654872059287467353/2701596464321922459608, c_1001_8 + c_1100_1, c_1100_1^16 - 2*c_1100_1^15 + 11*c_1100_1^14 - 29/8*c_1100_1^13 + 169/4*c_1100_1^12 - 53/32*c_1100_1^11 - 2171/32*c_1100_1^10 + 167/4*c_1100_1^9 + 91/2*c_1100_1^8 - 681/16*c_1100_1^7 + 177/16*c_1100_1^6 + 177/8*c_1100_1^5 - 85/2*c_1100_1^4 - 753/32*c_1100_1^3 + 465/32*c_1100_1^2 + 19/2*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB