Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 1275973777] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1455 geometric_solution 5.27408197 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 0 1 0 0 -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 1 -1 0 0 1 -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 0.405460604342 0.063452819769 0 2 0 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 -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 -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 -0.838760952472 1.060435983538 1 1 3 4 3201 0132 0132 0132 0 0 0 0 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 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 -0.102737984766 1.328974600302 4 5 6 2 1302 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488359250749 0.438656847367 5 3 2 6 3201 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 -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 -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 0 0 0.488359250749 0.438656847367 5 3 5 4 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866691300605 1.017967040470 6 4 6 3 2031 2310 1302 0132 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866691300605 1.017967040470 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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' : negation(d['1']), 's_2_6' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 7170612120222742264/14080138599048119*c_0110_4^14 + 137388350781552365981/112641108792384952*c_0110_4^13 + 175122055569075103633/112641108792384952*c_0110_4^12 - 240166361007477175319/225282217584769904*c_0110_4^11 - 18065164104016488470041/450564435169539808*c_0110_4^10 - 3341238441188032721849/225282217584769904*c_0110_4^9 + 229685076370788504601093/450564435169539808*c_0110_4^8 + 77073748758477566427247/56320554396192476*c_0110_4^7 + 42092769648498549600883/34658802705349216*c_0110_4^6 - 69047021488162021655651/450564435169539808*c_0110_4^5 - 33411910820975265388119/34658802705349216*c_0110_4^4 - 126282867948573727167187/225282217584769904*c_0110_4^3 - 2077975676620744103937/56320554396192476*c_0110_4^2 + 3291122986457197189791/56320554396192476*c_0110_4 + 378898288312306361839/28160277198096238, c_0011_0 - 1, c_0011_3 - 61868913224117939/112641108792384952*c_0110_4^14 - 97736703544444113/112641108792384952*c_0110_4^13 - 204522576788034523/225282217584769904*c_0110_4^12 + 895699862009857027/450564435169539808*c_0110_4^11 + 2351433815285844807/56320554396192476*c_0110_4^10 - 8228697528030762519/450564435169539808*c_0110_4^9 - 121549132507974873617/225282217584769904*c_0110_4^8 - 465995037618595306825/450564435169539808*c_0110_4^7 - 14138265469861807317/34658802705349216*c_0110_4^6 + 278508040092764157347/450564435169539808*c_0110_4^5 + 1305433741599284717/2166175169084326*c_0110_4^4 + 7039398378074792727/112641108792384952*c_0110_4^3 - 1201094693357866157/14080138599048119*c_0110_4^2 - 423233485705300753/28160277198096238*c_0110_4 + 47688441829702205/14080138599048119, c_0011_6 - 118224976604259243/28160277198096238*c_0110_4^14 - 285626814766344005/28160277198096238*c_0110_4^13 - 729308376500244819/56320554396192476*c_0110_4^12 + 967909103989435211/112641108792384952*c_0110_4^11 + 9317148496449489653/28160277198096238*c_0110_4^10 + 14512586559802753257/112641108792384952*c_0110_4^9 - 118426484172593551607/28160277198096238*c_0110_4^8 - 1280021881841997390541/112641108792384952*c_0110_4^7 - 88207620395373534083/8664700676337304*c_0110_4^6 + 131154194836859074903/112641108792384952*c_0110_4^5 + 34723645775425436157/4332350338168652*c_0110_4^4 + 266627943994006955965/56320554396192476*c_0110_4^3 + 19134039337192743465/56320554396192476*c_0110_4^2 - 6928319166509409660/14080138599048119*c_0110_4 - 1643924651431790901/14080138599048119, c_0101_0 + 343453822206478367/56320554396192476*c_0110_4^14 + 199112488618400787/14080138599048119*c_0110_4^13 + 2010893197309939201/112641108792384952*c_0110_4^12 - 3077948925837488161/225282217584769904*c_0110_4^11 - 107794932472857303087/225282217584769904*c_0110_4^10 - 32073625418848031597/225282217584769904*c_0110_4^9 + 1372341276583620910289/225282217584769904*c_0110_4^8 + 3589987167677431037831/225282217584769904*c_0110_4^7 + 118081837116130603107/8664700676337304*c_0110_4^6 - 259219381984729352189/112641108792384952*c_0110_4^5 - 192476583663973226711/17329401352674608*c_0110_4^4 - 86658548685801604154/14080138599048119*c_0110_4^3 - 4340871020674727973/14080138599048119*c_0110_4^2 + 9170312072083290398/14080138599048119*c_0110_4 + 2007328410519640361/14080138599048119, c_0101_1 - 303441830977450051/56320554396192476*c_0110_4^14 - 366895652551386087/28160277198096238*c_0110_4^13 - 1893192421258041937/112641108792384952*c_0110_4^12 + 2459884458481423257/225282217584769904*c_0110_4^11 + 95609661369659749677/225282217584769904*c_0110_4^10 + 37655934237696857189/225282217584769904*c_0110_4^9 - 1213250609578892868395/225282217584769904*c_0110_4^8 - 3292095467626324789819/225282217584769904*c_0110_4^7 - 14330794048870843535/1083087584542163*c_0110_4^6 + 36884239411912789401/28160277198096238*c_0110_4^5 + 178738214772470630261/17329401352674608*c_0110_4^4 + 87651461704200254169/14080138599048119*c_0110_4^3 + 28139619094671926429/56320554396192476*c_0110_4^2 - 9066075645271944840/14080138599048119*c_0110_4 - 2224178853647864212/14080138599048119, c_0101_4 - 118224976604259243/28160277198096238*c_0110_4^14 - 285626814766344005/28160277198096238*c_0110_4^13 - 729308376500244819/56320554396192476*c_0110_4^12 + 967909103989435211/112641108792384952*c_0110_4^11 + 9317148496449489653/28160277198096238*c_0110_4^10 + 14512586559802753257/112641108792384952*c_0110_4^9 - 118426484172593551607/28160277198096238*c_0110_4^8 - 1280021881841997390541/112641108792384952*c_0110_4^7 - 88207620395373534083/8664700676337304*c_0110_4^6 + 131154194836859074903/112641108792384952*c_0110_4^5 + 34723645775425436157/4332350338168652*c_0110_4^4 + 266627943994006955965/56320554396192476*c_0110_4^3 + 19134039337192743465/56320554396192476*c_0110_4^2 - 6942399305108457779/14080138599048119*c_0110_4 - 1643924651431790901/14080138599048119, c_0110_4^15 + 3*c_0110_4^14 + 9/2*c_0110_4^13 - 1/4*c_0110_4^12 - 80*c_0110_4^11 - 307/4*c_0110_4^10 + 1967/2*c_0110_4^9 + 13171/4*c_0110_4^8 + 16035/4*c_0110_4^7 + 4551/4*c_0110_4^6 - 2078*c_0110_4^5 - 2245*c_0110_4^4 - 736*c_0110_4^3 + 72*c_0110_4^2 + 96*c_0110_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB