Magma V2.19-8 Tue Aug 20 2013 23:55:24 on localhost [Seed = 3920593334] Type ? for help. Type -D to quit. Loading file "L14a20418__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20418 geometric_solution 8.80465815 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 0 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 1 -1 0 0 0 0 -5 5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881031766129 0.806484891754 0 4 5 0 0132 0132 0132 2031 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 5 0 -5 0 0 0 0 1 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179014998177 1.213541520539 6 6 7 0 0132 1230 0132 0132 0 0 1 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 1 0 -1 0 0 0 0 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053994500863 0.446333299294 8 5 0 9 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.447693655545 0.130404817001 8 1 8 5 3120 0132 2310 3120 0 0 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 -5 4 1 0 0 0 0 -4 0 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542431453123 0.756954749417 4 9 3 1 3120 3120 3012 0132 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 0 0 0 0 0 0 0 -4 -1 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377216511701 0.394838309725 2 8 2 9 0132 1230 3012 1230 0 0 0 1 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 -1 1 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.267129154639 2.208162591026 9 10 10 2 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492307597110 1.298061279349 3 4 6 4 0132 3201 3012 3120 1 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 -1 1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542431453123 0.756954749417 6 5 3 7 3012 3120 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634471377910 0.499052422241 11 7 7 11 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.571464424544 0.245862331132 10 11 11 10 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.620473973212 0.078311710729 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_2'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : 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' : 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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_5'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_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_3'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_1100_8' : d['c_0011_2']})} 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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 489579759716969481917920662769481/6353594396293205413248095232*c_10\ 01_3^16 + 137148463416112988169820090782785/16719985253403172140126\ 5664*c_1001_3^15 + 24972348172834587265752141131603891/635359439629\ 3205413248095232*c_1001_3^14 + 34348658830076499885452250144967435/\ 3176797198146602706624047616*c_1001_3^13 + 109629891863711041875079292401281925/6353594396293205413248095232*c\ _1001_3^12 + 5693966716779351093450273227705939/5294661996911004511\ 04007936*c_1001_3^11 - 101419315115764362937237744475748085/6353594\ 396293205413248095232*c_1001_3^10 - 1180635593963838923239396277216777/27866642089005286900210944*c_100\ 1_3^9 - 96924387413077785709220360468328649/31767971981466027066240\ 47616*c_1001_3^8 + 397202078273398627872833457461519/19609859247818\ 535226074368*c_1001_3^7 + 114731627470471085221916643490561243/2117\ 864798764401804416031744*c_1001_3^6 + 16600490981041584857465605881395153/529466199691100451104007936*c_1\ 001_3^5 - 81940013815758411635302921755025327/635359439629320541324\ 8095232*c_1001_3^4 - 80835970017031170585225778998120025/3176797198\ 146602706624047616*c_1001_3^3 - 646476498076670324084589951129643/6\ 6183274961387556388000992*c_1001_3^2 + 60746371741306253716030509322895/39219718495637070452148736*c_1001_\ 3 + 9226063551008573061675367160027735/6353594396293205413248095232\ , c_0011_0 - 1, c_0011_10 + 31202593304351807/19156014343011449*c_1001_3^16 + 1381529753166738025/76624057372045796*c_1001_3^15 + 3418754021600063055/38312028686022898*c_1001_3^14 + 19375251041536714035/76624057372045796*c_1001_3^13 + 7998951351885051782/19156014343011449*c_1001_3^12 + 10874250396423349697/38312028686022898*c_1001_3^11 - 6710111935987575408/19156014343011449*c_1001_3^10 - 78274154232481655001/76624057372045796*c_1001_3^9 - 15075289096160030311/19156014343011449*c_1001_3^8 + 8489560536006870793/19156014343011449*c_1001_3^7 + 50771535872261830305/38312028686022898*c_1001_3^6 + 30860845504574769435/38312028686022898*c_1001_3^5 - 5693547941876992977/19156014343011449*c_1001_3^4 - 24189020460291982273/38312028686022898*c_1001_3^3 - 9400096653488063867/38312028686022898*c_1001_3^2 + 3075155979187947971/76624057372045796*c_1001_3 + 714231634753258180/19156014343011449, c_0011_2 - 1374499622629089019/76624057372045796*c_1001_3^16 - 7341356460767443241/38312028686022898*c_1001_3^15 - 35263708119027531045/38312028686022898*c_1001_3^14 - 194397424914688490819/76624057372045796*c_1001_3^13 - 155428418401644283887/38312028686022898*c_1001_3^12 - 48673210113186951140/19156014343011449*c_1001_3^11 + 286208318185157841105/76624057372045796*c_1001_3^10 + 381581364912471035245/38312028686022898*c_1001_3^9 + 551392705049628601923/76624057372045796*c_1001_3^8 - 363247514850992254767/76624057372045796*c_1001_3^7 - 976298820678739377653/76624057372045796*c_1001_3^6 - 566340059583275011433/76624057372045796*c_1001_3^5 + 231717614177505325477/76624057372045796*c_1001_3^4 + 458889975211750996389/76624057372045796*c_1001_3^3 + 88177314973817582621/38312028686022898*c_1001_3^2 - 28054785908383316907/76624057372045796*c_1001_3 - 6561990865642110110/19156014343011449, c_0011_3 - 332198948519965245/76624057372045796*c_1001_3^16 - 828227138803436238/19156014343011449*c_1001_3^15 - 7424777931109232473/38312028686022898*c_1001_3^14 - 18939771352316736265/38312028686022898*c_1001_3^13 - 27075171887953075459/38312028686022898*c_1001_3^12 - 5523398682388661110/19156014343011449*c_1001_3^11 + 69136205271452103827/76624057372045796*c_1001_3^10 + 68058604012144650323/38312028686022898*c_1001_3^9 + 68198700376879295321/76624057372045796*c_1001_3^8 - 23774022969178934103/19156014343011449*c_1001_3^7 - 165378163122485766773/76624057372045796*c_1001_3^6 - 32724722196031128747/38312028686022898*c_1001_3^5 + 57836787165987663369/76624057372045796*c_1001_3^4 + 35023393555380044367/38312028686022898*c_1001_3^3 + 9504273468303380881/38312028686022898*c_1001_3^2 - 2941890124630388793/38312028686022898*c_1001_3 - 729473675743937636/19156014343011449, c_0011_5 + 536150986680429623/38312028686022898*c_1001_3^16 + 11525821289832856245/76624057372045796*c_1001_3^15 + 13920835113255576109/19156014343011449*c_1001_3^14 + 77193999957925670061/38312028686022898*c_1001_3^13 + 62187420951873312333/19156014343011449*c_1001_3^12 + 79579973210668099919/38312028686022898*c_1001_3^11 - 111835148372284807569/38312028686022898*c_1001_3^10 - 610071651847865705807/76624057372045796*c_1001_3^9 - 112305735009522950153/19156014343011449*c_1001_3^8 + 282123545198575378667/76624057372045796*c_1001_3^7 + 195790601355834115840/19156014343011449*c_1001_3^6 + 462470657908973033633/76624057372045796*c_1001_3^5 - 90556323762968816795/38312028686022898*c_1001_3^4 - 370199330686317619325/76624057372045796*c_1001_3^3 - 36045388136862426761/19156014343011449*c_1001_3^2 + 11130394320731717943/38312028686022898*c_1001_3 + 5356894194122720731/19156014343011449, c_0101_0 + 288637369348479543/38312028686022898*c_1001_3^16 + 3078648538654162001/38312028686022898*c_1001_3^15 + 29508628458841547551/76624057372045796*c_1001_3^14 + 81078336816433886303/76624057372045796*c_1001_3^13 + 32249035526321357917/19156014343011449*c_1001_3^12 + 19856500621418153961/19156014343011449*c_1001_3^11 - 30293843776872606775/19156014343011449*c_1001_3^10 - 79333882803362278325/19156014343011449*c_1001_3^9 - 225470018716856389519/76624057372045796*c_1001_3^8 + 154967510780279663747/76624057372045796*c_1001_3^7 + 404682465144018840279/76624057372045796*c_1001_3^6 + 230512859039058930279/76624057372045796*c_1001_3^5 - 98507939209023081759/76624057372045796*c_1001_3^4 - 188884190391588022305/76624057372045796*c_1001_3^3 - 71613711228271533517/76624057372045796*c_1001_3^2 + 11564966696757131975/76624057372045796*c_1001_3 + 2647544784717268262/19156014343011449, c_0101_1 - 1, c_0101_10 + 284989191230521115/38312028686022898*c_1001_3^16 + 3061413485813403539/38312028686022898*c_1001_3^15 + 14813506567761386765/38312028686022898*c_1001_3^14 + 41210044049112299227/38312028686022898*c_1001_3^13 + 33389938909513306966/19156014343011449*c_1001_3^12 + 21744606341336889547/19156014343011449*c_1001_3^11 - 58859931945857296709/38312028686022898*c_1001_3^10 - 163920240155833225893/38312028686022898*c_1001_3^9 - 61491677282678028528/19156014343011449*c_1001_3^8 + 36862358622394428795/19156014343011449*c_1001_3^7 + 105835787059424769215/19156014343011449*c_1001_3^6 + 63541794213471200635/19156014343011449*c_1001_3^5 - 24109827754241733162/19156014343011449*c_1001_3^4 - 50499545441386599792/19156014343011449*c_1001_3^3 - 39446235777966565473/38312028686022898*c_1001_3^2 + 6232622997038453947/38312028686022898*c_1001_3 + 2949492652216204673/19156014343011449, c_0101_11 + 124439349219209187/38312028686022898*c_1001_3^16 + 1372804642250905327/38312028686022898*c_1001_3^15 + 6755607242524527805/38312028686022898*c_1001_3^14 + 18970923915582585905/38312028686022898*c_1001_3^13 + 15422809149318119105/19156014343011449*c_1001_3^12 + 9952796005482150941/19156014343011449*c_1001_3^11 - 27870740499756279883/38312028686022898*c_1001_3^10 - 76272173059191763659/38312028686022898*c_1001_3^9 - 27890415090827818221/19156014343011449*c_1001_3^8 + 18079108823501656671/19156014343011449*c_1001_3^7 + 48980679042659464917/19156014343011449*c_1001_3^6 + 28192233665822549421/19156014343011449*c_1001_3^5 - 11910915770547020934/19156014343011449*c_1001_3^4 - 22976747942572582880/19156014343011449*c_1001_3^3 - 17273057956245557235/38312028686022898*c_1001_3^2 + 2987201321091314673/38312028686022898*c_1001_3 + 1321997085917790954/19156014343011449, c_0101_7 + 797224883932129933/76624057372045796*c_1001_3^16 + 2131353961056640620/19156014343011449*c_1001_3^15 + 41018787779213514539/76624057372045796*c_1001_3^14 + 28329772024563651129/19156014343011449*c_1001_3^13 + 90930347349001568053/38312028686022898*c_1001_3^12 + 28816709491768797179/19156014343011449*c_1001_3^11 - 165032943077667414005/76624057372045796*c_1001_3^10 - 222913599305746478595/38312028686022898*c_1001_3^9 - 81480671583193053101/19156014343011449*c_1001_3^8 + 52070001017678147755/19156014343011449*c_1001_3^7 + 285808177767360268687/38312028686022898*c_1001_3^6 + 167913600272108040577/38312028686022898*c_1001_3^5 - 66604837484241121859/38312028686022898*c_1001_3^4 - 67501446205040743521/19156014343011449*c_1001_3^3 - 104740918719363631725/76624057372045796*c_1001_3^2 + 4122454802906546233/19156014343011449*c_1001_3 + 3914446080924841848/19156014343011449, c_0101_8 - 7500324812933868/19156014343011449*c_1001_3^16 - 156016923511714715/76624057372045796*c_1001_3^15 - 1370019296426823/19156014343011449*c_1001_3^14 + 2129882294203678167/76624057372045796*c_1001_3^13 + 1989202304972291881/19156014343011449*c_1001_3^12 + 6719649650928480141/38312028686022898*c_1001_3^11 + 1649545957715969465/19156014343011449*c_1001_3^10 - 16973869952787064037/76624057372045796*c_1001_3^9 - 16985532317328752995/38312028686022898*c_1001_3^8 - 3493030556074715078/19156014343011449*c_1001_3^7 + 6939563033229286880/19156014343011449*c_1001_3^6 + 19209978641119860153/38312028686022898*c_1001_3^5 + 3615910257209985741/38312028686022898*c_1001_3^4 - 9321928707336644165/38312028686022898*c_1001_3^3 - 3291132615894674109/19156014343011449*c_1001_3^2 - 13158924968850769/76624057372045796*c_1001_3 + 494779010118463192/19156014343011449, c_1001_3^17 + 202/17*c_1001_3^16 + 1091/17*c_1001_3^15 + 3458/17*c_1001_3^14 + 6757/17*c_1001_3^13 + 7080/17*c_1001_3^12 - 589/17*c_1001_3^11 - 13704/17*c_1001_3^10 - 18290/17*c_1001_3^9 - 3852/17*c_1001_3^8 + 17481/17*c_1001_3^7 + 21696/17*c_1001_3^6 + 5705/17*c_1001_3^5 - 9134/17*c_1001_3^4 - 9096/17*c_1001_3^3 - 2322/17*c_1001_3^2 + 743/17*c_1001_3 + 396/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB