Magma V2.19-8 Wed Aug 21 2013 01:04:32 on localhost [Seed = 239605365] Type ? for help. Type -D to quit. Loading file "L14n24327__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24327 geometric_solution 11.82900485 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 1 0 1 0 0 0 0 0 0 0 1 -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 -1 5 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960577594913 0.989154220754 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 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 0.407063348216 0.439041398716 4 0 9 8 0213 0132 0132 0132 1 1 0 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 -1 0 0 0 0 0 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486327907273 0.645691335092 10 7 6 0 0132 0213 2310 0132 1 0 0 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 0.488097738984 0.688635791824 2 5 0 11 0213 0321 0132 0132 1 0 1 1 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 -1 0 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342139474824 0.455598596777 7 1 9 4 0321 0132 0213 0321 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760603262843 0.850527841477 10 3 1 8 2103 3201 0132 0321 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 0 0 0 0 0 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 0.473441442973 0.810979806339 5 12 3 1 0321 0132 0213 0132 1 0 1 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 -1 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385173945274 1.109898391374 12 6 2 11 2031 0321 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.420103325404 1.149424490069 10 5 11 2 1023 0213 2031 0132 1 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 -1 1 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085523510681 1.376212802007 3 9 6 12 0132 1023 2103 3120 1 0 1 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 0 0 0 1 0 0 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107555650810 0.957227488281 12 8 4 9 3120 1302 0132 1302 1 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 1.476938062757 1.277951279896 10 7 8 11 3120 0132 1302 3120 1 0 1 1 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 0 0 0 1 0 0 -1 -5 4 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.274346837279 1.182390692341 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_8'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0110_8'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : 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_0'], '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_1100_8' : negation(d['c_1010_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1010_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], '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_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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(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' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_8'])})} 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_8, c_0101_0, c_0101_11, c_0101_3, c_0110_8, c_1001_0, c_1001_2, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 135807815918620020289955171/2524876776490998148892170*c_1010_11^14 + 555978539810864478685490927/2524876776490998148892170*c_1010_11^13 + 19673467445120315276712993/1262438388245499074446085*c_1010_11^12 - 975431817857980842252176188/1262438388245499074446085*c_1010_11^11 - 1042919733972881419288544171/504975355298199629778434*c_1010_11^10 - 5788801701262007589805419564/1262438388245499074446085*c_1010_11^9 - 8033096283558952340318914174/1262438388245499074446085*c_1010_11^8 - 21107358838677842644240923291/1262438388245499074446085*c_1010_11^7 - 62816035901649983386753783071/2524876776490998148892170*c_1010_11\ ^6 - 115352727557944266402889978009/2524876776490998148892170*c_101\ 0_11^5 - 100952205191748237122279348831/2524876776490998148892170*c\ _1010_11^4 - 80258249729942770065978626037/252487677649099814889217\ 0*c_1010_11^3 - 14609747961721093217648005873/252487677649099814889\ 2170*c_1010_11^2 - 13359717855690325378529829/252487677649099814889\ 217*c_1010_11 + 83839778163607081782464907/252487677649099814889217\ 0, c_0011_0 - 1, c_0011_10 + 88225832749139696/146571129157293773*c_1010_11^14 + 337490377106585785/146571129157293773*c_1010_11^13 - 58530211511117389/146571129157293773*c_1010_11^12 - 1222689488744523316/146571129157293773*c_1010_11^11 - 3050007840330635671/146571129157293773*c_1010_11^10 - 6800033111786693718/146571129157293773*c_1010_11^9 - 8886633369288159979/146571129157293773*c_1010_11^8 - 25656910824711296791/146571129157293773*c_1010_11^7 - 34850925884371742362/146571129157293773*c_1010_11^6 - 67793046645532800107/146571129157293773*c_1010_11^5 - 50994267861466005859/146571129157293773*c_1010_11^4 - 44724364458423690198/146571129157293773*c_1010_11^3 - 3844840258406969921/146571129157293773*c_1010_11^2 - 3948729021348372049/146571129157293773*c_1010_11 - 590895060957190185/146571129157293773, c_0011_11 + 14561085129185392/146571129157293773*c_1010_11^14 + 57656671690721464/146571129157293773*c_1010_11^13 - 2219949562369568/146571129157293773*c_1010_11^12 - 204054626978450781/146571129157293773*c_1010_11^11 - 533187147570890417/146571129157293773*c_1010_11^10 - 1186526764674038110/146571129157293773*c_1010_11^9 - 1603963898591451417/146571129157293773*c_1010_11^8 - 4414137006844753429/146571129157293773*c_1010_11^7 - 6267738559865588730/146571129157293773*c_1010_11^6 - 11894036324136623333/146571129157293773*c_1010_11^5 - 9751730551323490622/146571129157293773*c_1010_11^4 - 8233036771505050385/146571129157293773*c_1010_11^3 - 1254524795847393514/146571129157293773*c_1010_11^2 - 390697385625194466/146571129157293773*c_1010_11 - 184449792066119408/146571129157293773, c_0011_12 + 53537707966717142/146571129157293773*c_1010_11^14 + 208392762142305071/146571129157293773*c_1010_11^13 - 23323055313229590/146571129157293773*c_1010_11^12 - 751359459200681099/146571129157293773*c_1010_11^11 - 1901810525218612986/146571129157293773*c_1010_11^10 - 4222111154671928363/146571129157293773*c_1010_11^9 - 5606518074416758282/146571129157293773*c_1010_11^8 - 15802089854407436280/146571129157293773*c_1010_11^7 - 21998922793943855923/146571129157293773*c_1010_11^6 - 42110646543731301208/146571129157293773*c_1010_11^5 - 32920126029949250373/146571129157293773*c_1010_11^4 - 28014607306264087419/146571129157293773*c_1010_11^3 - 3004299248839237332/146571129157293773*c_1010_11^2 - 2052591776861538425/146571129157293773*c_1010_11 - 467030157113220151/146571129157293773, c_0011_6 - 88449209858123737/146571129157293773*c_1010_11^14 - 338405117732282575/146571129157293773*c_1010_11^13 + 58380063593974941/146571129157293773*c_1010_11^12 + 1227070236143727148/146571129157293773*c_1010_11^11 + 3062946261946143048/146571129157293773*c_1010_11^10 + 6813847927836761396/146571129157293773*c_1010_11^9 + 8899316057923629170/146571129157293773*c_1010_11^8 + 25708919961494541539/146571129157293773*c_1010_11^7 + 34881125618317726150/146571129157293773*c_1010_11^6 + 67938057239824476583/146571129157293773*c_1010_11^5 + 50878311693665871621/146571129157293773*c_1010_11^4 + 44607902864599193727/146571129157293773*c_1010_11^3 + 3293100259957640225/146571129157293773*c_1010_11^2 + 3803633994598424694/146571129157293773*c_1010_11 + 384230833925315485/146571129157293773, c_0011_8 - 161014959323464797/146571129157293773*c_1010_11^14 - 620848378474614669/146571129157293773*c_1010_11^13 + 91353347821997077/146571129157293773*c_1010_11^12 + 2247739010064938000/146571129157293773*c_1010_11^11 + 5629800068220702613/146571129157293773*c_1010_11^10 + 12525443235559359894/146571129157293773*c_1010_11^9 + 16499603467210232870/146571129157293773*c_1010_11^8 + 47094050504599553288/146571129157293773*c_1010_11^7 + 64708900285623214501/146571129157293773*c_1010_11^6 + 124807613447537548530/146571129157293773*c_1010_11^5 + 95527199908523503554/146571129157293773*c_1010_11^4 + 82359592763682905705/146571129157293773*c_1010_11^3 + 7745448113589204874/146571129157293773*c_1010_11^2 + 6528045254431105473/146571129157293773*c_1010_11 + 998266862811649519/146571129157293773, c_0101_0 - 1, c_0101_11 + 200441225677948930/146571129157293773*c_1010_11^14 + 771944897528772942/146571129157293773*c_1010_11^13 - 115458528209069392/146571129157293773*c_1010_11^12 - 2791580075985393661/146571129157293773*c_1010_11^11 - 7000985238031281202/146571129157293773*c_1010_11^10 - 15585221585798218649/146571129157293773*c_1010_11^9 - 20510424619264671656/146571129157293773*c_1010_11^8 - 58635005418854975347/146571129157293773*c_1010_11^7 - 80393443924973964753/146571129157293773*c_1010_11^6 - 155413275115719355407/146571129157293773*c_1010_11^5 - 118693329434394067076/146571129157293773*c_1010_11^4 - 102924099215768885217/146571129157293773*c_1010_11^3 - 9617945665643540062/146571129157293773*c_1010_11^2 - 8471087568803690224/146571129157293773*c_1010_11 - 1198435820777350922/146571129157293773, c_0101_3 - 111497140138376036/146571129157293773*c_1010_11^14 - 430400247704459961/146571129157293773*c_1010_11^13 + 61039779043723690/146571129157293773*c_1010_11^12 + 1555325455392100518/146571129157293773*c_1010_11^11 + 3905429601971805405/146571129157293773*c_1010_11^10 + 8695839929585774007/146571129157293773*c_1010_11^9 + 11473734157763157268/146571129157293773*c_1010_11^8 + 32686984360947027240/146571129157293773*c_1010_11^7 + 44986406575226282271/146571129157293773*c_1010_11^6 + 86723074722989384993/146571129157293773*c_1010_11^5 + 66714359876342594913/146571129157293773*c_1010_11^4 + 57558455837055245743/146571129157293773*c_1010_11^3 + 5897778549770327108/146571129157293773*c_1010_11^2 + 4728457632025610337/146571129157293773*c_1010_11 + 852950419422780952/146571129157293773, c_0110_8 - 102199249052304984/146571129157293773*c_1010_11^14 - 392927099234937681/146571129157293773*c_1010_11^13 + 60949596243342250/146571129157293773*c_1010_11^12 + 1421171113514005010/146571129157293773*c_1010_11^11 + 3561151686853176662/146571129157293773*c_1010_11^10 + 7930560070325048557/146571129157293773*c_1010_11^9 + 10419920054935264089/146571129157293773*c_1010_11^8 + 29859103508934139510/146571129157293773*c_1010_11^7 + 40839633600374966713/146571129157293773*c_1010_11^6 + 79115004164400471134/146571129157293773*c_1010_11^5 + 60184139766266570098/146571129157293773*c_1010_11^4 + 52362668214369589313/146571129157293773*c_1010_11^3 + 4747447098291102909/146571129157293773*c_1010_11^2 + 4481153221517569600/146571129157293773*c_1010_11 + 614212638736830428/146571129157293773, c_1001_0 + 9297891086071052/146571129157293773*c_1010_11^14 + 37473148469522280/146571129157293773*c_1010_11^13 - 90182800381440/146571129157293773*c_1010_11^12 - 134154341878095508/146571129157293773*c_1010_11^11 - 344277915118628743/146571129157293773*c_1010_11^10 - 765279859260725450/146571129157293773*c_1010_11^9 - 1053814102827893179/146571129157293773*c_1010_11^8 - 2827880852012887730/146571129157293773*c_1010_11^7 - 4146772974851315558/146571129157293773*c_1010_11^6 - 7608070558588913859/146571129157293773*c_1010_11^5 - 6530220110076024815/146571129157293773*c_1010_11^4 - 5195787622685656430/146571129157293773*c_1010_11^3 - 1150331451479224199/146571129157293773*c_1010_11^2 - 247304410508040737/146571129157293773*c_1010_11 - 238737780685950524/146571129157293773, c_1001_2 - 97747100944194789/146571129157293773*c_1010_11^14 - 375878266201804855/146571129157293773*c_1010_11^13 + 58470246394356381/146571129157293773*c_1010_11^12 + 1361224578021822656/146571129157293773*c_1010_11^11 + 3407224177064771791/146571129157293773*c_1010_11^10 + 7579127787097486846/146571129157293773*c_1010_11^9 + 9953130160751522349/146571129157293773*c_1010_11^8 + 28536800813507429269/146571129157293773*c_1010_11^7 + 39027898593169041708/146571129157293773*c_1010_11^6 + 75546127798413390442/146571129157293773*c_1010_11^5 + 57408531803741896436/146571129157293773*c_1010_11^4 + 49803690487284850157/146571129157293773*c_1010_11^3 + 4443431711436864424/146571129157293773*c_1010_11^2 + 4050938405106465431/146571129157293773*c_1010_11 + 622968614611266009/146571129157293773, c_1010_11^15 + 4*c_1010_11^14 - 14*c_1010_11^12 - 37*c_1010_11^11 - 83*c_1010_11^10 - 114*c_1010_11^9 - 308*c_1010_11^8 - 445*c_1010_11^7 - 836*c_1010_11^6 - 709*c_1010_11^5 - 604*c_1010_11^4 - 127*c_1010_11^3 - 51*c_1010_11^2 - 13*c_1010_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.610 seconds, Total memory usage: 32.09MB