Magma V2.19-8 Tue Aug 20 2013 23:56:52 on localhost [Seed = 1730219930] Type ? for help. Type -D to quit. Loading file "L14n24900__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24900 geometric_solution 11.33027282 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 -2 1 1 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 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708845087461 0.636924549308 0 3 6 5 0132 1230 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 0 2 -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 1 0 -1 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593655696032 1.298669094547 7 0 5 8 0132 0132 1230 0132 1 0 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 0 0 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 0.996676708492 0.741128088115 8 9 1 0 0213 0132 3012 0132 1 1 0 0 0 0 0 0 1 0 0 -1 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 -1 0 1 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625404910279 1.216372403731 10 6 0 8 0132 1230 0132 0213 1 1 0 1 0 0 0 0 1 0 0 -1 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 -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 0.718334697258 0.900242865332 10 11 1 2 2103 0132 0132 3012 1 1 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 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545033515714 1.097374772019 10 9 4 1 3120 1302 3012 0132 1 1 1 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 0 0 0 0 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458449956921 0.678689981652 2 10 11 11 0132 3120 3201 1302 0 0 1 0 0 1 0 -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 -2 0 2 0 0 0 0 0 1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581876784325 0.347513570523 3 9 2 4 0213 0213 0132 0213 1 0 1 0 0 0 0 0 -1 0 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 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 0.268401415808 1.054664495398 11 3 8 6 3012 0132 0213 2031 1 1 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 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 0.444051438384 0.640139683583 4 7 5 6 0132 3120 2103 3120 0 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165185314340 0.602741531337 7 5 7 9 2310 0132 2031 1230 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456153304454 0.469637736475 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0101_6'], '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' : 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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_3']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], '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_8'], 'c_0101_8' : d['c_0011_3'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_10'], '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' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3412527599378875909/938463802164792800*c_1001_2^13 + 39410452007141659231/938463802164792800*c_1001_2^12 - 24569353732928558407/187692760432958560*c_1001_2^11 - 137749987378806684481/938463802164792800*c_1001_2^10 + 488029805574524424737/469231901082396400*c_1001_2^9 + 260707502138187173559/469231901082396400*c_1001_2^8 - 3133749801621166203729/938463802164792800*c_1001_2^7 - 3582866856784034128649/938463802164792800*c_1001_2^6 + 226596753765510810387/187692760432958560*c_1001_2^5 + 3378757401335628148099/938463802164792800*c_1001_2^4 + 2539058345890992311/4045102595537900*c_1001_2^3 - 1112902998222124265223/469231901082396400*c_1001_2^2 - 2003299983946845548213/938463802164792800*c_1001_2 - 567577756268335437663/938463802164792800, c_0011_0 - 1, c_0011_10 + 12801570764397/80902051910758*c_1001_2^13 - 81263646870134/40451025955379*c_1001_2^12 + 325285152266143/40451025955379*c_1001_2^11 - 270459001627431/80902051910758*c_1001_2^10 - 1597854072135992/40451025955379*c_1001_2^9 + 847329121873820/40451025955379*c_1001_2^8 + 4461783253671657/40451025955379*c_1001_2^7 + 3470523055616169/80902051910758*c_1001_2^6 - 5623044258165989/80902051910758*c_1001_2^5 - 2496284414848733/40451025955379*c_1001_2^4 + 1809673641297299/80902051910758*c_1001_2^3 + 4785526403286487/80902051910758*c_1001_2^2 + 1257560583000888/40451025955379*c_1001_2 + 266677695040336/40451025955379, c_0011_11 + 3614012081781/80902051910758*c_1001_2^13 - 26864125107589/40451025955379*c_1001_2^12 + 289276262785833/80902051910758*c_1001_2^11 - 556534890174853/80902051910758*c_1001_2^10 - 180242139263639/40451025955379*c_1001_2^9 + 1980199190145533/80902051910758*c_1001_2^8 + 204956848760052/40451025955379*c_1001_2^7 - 2847529413047961/80902051910758*c_1001_2^6 - 995734537063567/80902051910758*c_1001_2^5 + 1642143799412195/80902051910758*c_1001_2^4 + 682241349400374/40451025955379*c_1001_2^3 - 652677267027809/80902051910758*c_1001_2^2 - 1029337219564659/80902051910758*c_1001_2 - 312755797695917/80902051910758, c_0011_3 - 791039696605/6223234762366*c_1001_2^13 + 9754088587707/6223234762366*c_1001_2^12 - 18289508743110/3111617381183*c_1001_2^11 + 1430621157244/3111617381183*c_1001_2^10 + 197863890773835/6223234762366*c_1001_2^9 - 7744395916282/3111617381183*c_1001_2^8 - 601111163669893/6223234762366*c_1001_2^7 - 229427351863141/3111617381183*c_1001_2^6 + 157720114134106/3111617381183*c_1001_2^5 + 252991943519098/3111617381183*c_1001_2^4 - 26420875781199/6223234762366*c_1001_2^3 - 372538999059901/6223234762366*c_1001_2^2 - 129687402560964/3111617381183*c_1001_2 - 28846944092275/3111617381183, c_0011_8 + 3001498808782/40451025955379*c_1001_2^13 - 75526320493821/80902051910758*c_1001_2^12 + 295823190709483/80902051910758*c_1001_2^11 - 42496781936222/40451025955379*c_1001_2^10 - 1543241245207301/80902051910758*c_1001_2^9 + 649862583184921/80902051910758*c_1001_2^8 + 4393430719247539/80902051910758*c_1001_2^7 + 982030792434897/40451025955379*c_1001_2^6 - 1356272454099000/40451025955379*c_1001_2^5 - 2625348884383359/80902051910758*c_1001_2^4 + 692611556180113/80902051910758*c_1001_2^3 + 1191887198733615/40451025955379*c_1001_2^2 + 1528431293120505/80902051910758*c_1001_2 + 169623472184187/40451025955379, c_0101_0 - 2115721/9355631*c_1001_2^13 + 26819723/9355631*c_1001_2^12 - 214448583/18711262*c_1001_2^11 + 45874452/9355631*c_1001_2^10 + 1024651073/18711262*c_1001_2^9 - 241524820/9355631*c_1001_2^8 - 2900575435/18711262*c_1001_2^7 - 706725128/9355631*c_1001_2^6 + 1748145593/18711262*c_1001_2^5 + 949649006/9355631*c_1001_2^4 - 449094911/18711262*c_1001_2^3 - 832057346/9355631*c_1001_2^2 - 498993621/9355631*c_1001_2 - 214571701/18711262, c_0101_1 - 1, c_0101_2 + 1670001179377/6223234762366*c_1001_2^13 - 10593524083380/3111617381183*c_1001_2^12 + 84634715143175/6223234762366*c_1001_2^11 - 16983229553533/3111617381183*c_1001_2^10 - 209755211602042/3111617381183*c_1001_2^9 + 218917532921905/6223234762366*c_1001_2^8 + 1175742292214157/6223234762366*c_1001_2^7 + 227645298623527/3111617381183*c_1001_2^6 - 753569238136675/6223234762366*c_1001_2^5 - 333018085839705/3111617381183*c_1001_2^4 + 120896079361253/3111617381183*c_1001_2^3 + 321198128860511/3111617381183*c_1001_2^2 + 167802228388421/3111617381183*c_1001_2 + 63361453102879/6223234762366, c_0101_6 - 20515349108431/80902051910758*c_1001_2^13 + 132052594269679/40451025955379*c_1001_2^12 - 1093588611828181/80902051910758*c_1001_2^11 + 684063084754859/80902051910758*c_1001_2^10 + 4731538956808523/80902051910758*c_1001_2^9 - 3190106524905687/80902051910758*c_1001_2^8 - 6525987383914746/40451025955379*c_1001_2^7 - 2307997512647019/40451025955379*c_1001_2^6 + 4168958114540992/40451025955379*c_1001_2^5 + 7347566513417605/80902051910758*c_1001_2^4 - 2936021742068041/80902051910758*c_1001_2^3 - 7158254020926117/80902051910758*c_1001_2^2 - 1943797576981765/40451025955379*c_1001_2 - 390780534255905/40451025955379, c_1001_0 + 1937725099809/80902051910758*c_1001_2^13 - 12943219606559/40451025955379*c_1001_2^12 + 116393571548903/80902051910758*c_1001_2^11 - 63576324879884/40451025955379*c_1001_2^10 - 184142681937265/40451025955379*c_1001_2^9 + 519400102779041/80902051910758*c_1001_2^8 + 764382312720233/80902051910758*c_1001_2^7 + 27592760295856/40451025955379*c_1001_2^6 - 183588597781343/80902051910758*c_1001_2^5 - 162590176710874/40451025955379*c_1001_2^4 - 229735720222/40451025955379*c_1001_2^3 + 226386897256147/40451025955379*c_1001_2^2 + 186149187209611/40451025955379*c_1001_2 + 144256003012483/80902051910758, c_1001_1 - 10437344024869/80902051910758*c_1001_2^13 + 132914827089353/80902051910758*c_1001_2^12 - 536439324433325/80902051910758*c_1001_2^11 + 254277058803889/80902051910758*c_1001_2^10 + 1262641880904431/40451025955379*c_1001_2^9 - 668966530138015/40451025955379*c_1001_2^8 - 7175232417594567/80902051910758*c_1001_2^7 - 2965997396294981/80902051910758*c_1001_2^6 + 4703994576650797/80902051910758*c_1001_2^5 + 4269426314587961/80902051910758*c_1001_2^4 - 775286102456250/40451025955379*c_1001_2^3 - 1961296809048339/40451025955379*c_1001_2^2 - 2102923468480077/80902051910758*c_1001_2 - 386314188880479/80902051910758, c_1001_2^14 - 12*c_1001_2^13 + 42*c_1001_2^12 + 14*c_1001_2^11 - 263*c_1001_2^10 - 44*c_1001_2^9 + 787*c_1001_2^8 + 768*c_1001_2^7 - 248*c_1001_2^6 - 716*c_1001_2^5 - 145*c_1001_2^4 + 478*c_1001_2^3 + 475*c_1001_2^2 + 186*c_1001_2 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB