Magma V2.19-8 Wed Aug 21 2013 01:04:32 on localhost [Seed = 324340584] Type ? for help. Type -D to quit. Loading file "L14n24309__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24309 geometric_solution 12.00806325 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 1 0 1 0 0 0 0 0 0 1 -1 -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 -1 0 1 0 0 -6 6 0 1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767446452829 0.797846591719 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 -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 1 -1 0 0 0 -5 5 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466968454138 0.814048411065 6 0 8 3 3012 0132 0132 3012 1 1 1 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 -1 0 0 0 0 0 0 -6 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336721640737 1.155227330170 9 9 2 0 0132 2310 1230 0132 1 1 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137428185550 0.765257084024 10 5 0 7 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 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 -1 1 6 0 -6 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000963014977 0.966779913383 11 1 12 4 0132 0132 0132 2031 1 1 0 1 0 0 -1 1 0 0 0 0 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 -1 6 -5 0 0 0 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199587842743 0.827706234048 11 10 1 2 1230 3120 0132 1230 1 1 0 1 0 0 0 0 -1 0 1 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 5 0 -5 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450603448222 0.687580445876 10 8 4 1 3120 1023 0132 0132 1 1 0 1 0 0 0 0 1 0 0 -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 -5 0 0 5 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162862024419 0.529929335203 7 11 12 2 1023 1230 3120 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 0 -1 1 0 0 0 0 1 0 0 -1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399460833308 2.303647341196 3 12 11 3 0132 3012 1230 3201 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 0 0 0 0 0 0 0 0 0 0.346886328787 1.382851846905 4 6 12 7 0132 3120 2310 3120 1 1 0 1 0 0 1 -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 0 -5 5 -6 0 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710640030517 0.568982558653 5 6 8 9 0132 3012 3012 3012 1 1 1 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 6 -6 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746855881693 0.460733149841 9 10 8 5 1230 3201 3120 0132 1 1 1 1 0 0 -1 1 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 6 -6 0 0 0 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099674685252 1.038548891242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : negation(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' : negation(d['c_0011_12']), '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' : negation(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' : negation(d['1']), 's_0_7' : 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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_12']), 's_3_1' : negation(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_8']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_0110_2, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 11876162930886880378606881134297210849/1881245966661685963172190513\ 63089000*c_1001_10^13 - 872515374778206498584409869021771211/289422\ 45640949014818033700209706000*c_1001_10^12 + 6646486358360769814158270298300644031/75249838666467438526887620545\ 235600*c_1001_10^11 - 22912145937834740382410774251107679817/752498\ 38666467438526887620545235600*c_1001_10^10 - 71965308333784481543429335789876639413/3762491933323371926344381027\ 26178000*c_1001_10^9 + 596358450298545477248769011776832177/1056879\ 756551508968074264333500500*c_1001_10^8 + 111286008862042191198688689869228680373/188124596666168596317219051\ 363089000*c_1001_10^7 + 193696569415335929254538294400481013503/376\ 249193332337192634438102726178000*c_1001_10^6 + 210830919458343553992357595719884352357/376249193332337192634438102\ 726178000*c_1001_10^5 - 238431297676354696173192783136577276681/376\ 249193332337192634438102726178000*c_1001_10^4 - 148508306434417815519715067451297347813/376249193332337192634438102\ 726178000*c_1001_10^3 + 8125495152287087818002536766223760117/12137\ 070752656038472078648475038000*c_1001_10^2 + 213125950979106257518306275600179479909/376249193332337192634438102\ 726178000*c_1001_10 + 22288257660959481300094167129940151361/940622\ 98333084298158609525681544500, c_0011_0 - 1, c_0011_10 + 144761812225256832620384243999/1625968856233090720114252820\ 77*c_1001_10^13 - 25611758336119372643358023477/1625968856233090720\ 11425282077*c_1001_10^12 + 174778965474856202803687435621/162596885\ 623309072011425282077*c_1001_10^11 - 639961450172802331486760007544/162596885623309072011425282077*c_100\ 1_10^10 - 648303590684619234200940341048/16259688562330907201142528\ 2077*c_1001_10^9 + 1187617303381634558595122851712/1625968856233090\ 72011425282077*c_1001_10^8 + 1797763063379231691456769321925/162596\ 885623309072011425282077*c_1001_10^7 + 1514266055112583975720569596046/162596885623309072011425282077*c_10\ 01_10^6 + 1475239388561096563309102714518/1625968856233090720114252\ 82077*c_1001_10^5 - 1078566559963689560525398977498/162596885623309\ 072011425282077*c_1001_10^4 - 1362839031654059769951637494263/16259\ 6885623309072011425282077*c_1001_10^3 + 43334588846385137131216263334/5245060826558357161658880067*c_1001_1\ 0^2 + 1804556085598207520015153286981/16259688562330907201142528207\ 7*c_1001_10 + 792345221091068773937229287607/1625968856233090720114\ 25282077, c_0011_12 - 677818581224714835416893881189/3251937712466181440228505641\ 54*c_1001_10^13 + 177931397700331134000216609273/162596885623309072\ 011425282077*c_1001_10^12 - 485761643774412074096041487037/16259688\ 5623309072011425282077*c_1001_10^11 + 1658376407579896240867049384751/162596885623309072011425282077*c_10\ 01_10^10 + 1894193575992837910220411097275/325193771246618144022850\ 564154*c_1001_10^9 - 3071694843985312687049577400209/16259688562330\ 9072011425282077*c_1001_10^8 - 6004364574600605277259170014603/3251\ 93771246618144022850564154*c_1001_10^7 - 2684015099166634579869822177986/162596885623309072011425282077*c_10\ 01_10^6 - 2870483942550577167844140367327/1625968856233090720114252\ 82077*c_1001_10^5 + 3515718302559122824799986817844/162596885623309\ 072011425282077*c_1001_10^4 + 1877515279155675785847710385976/16259\ 6885623309072011425282077*c_1001_10^3 - 116466942046013211120492388175/5245060826558357161658880067*c_1001_\ 10^2 - 5758057443288120407290816962679/3251937712466181440228505641\ 54*c_1001_10 - 1248576204117786841890652253440/16259688562330907201\ 1425282077, c_0011_3 - 711203242214054028115336232751/16259688562330907201142528207\ 7*c_1001_10^13 + 362024220518901623270809831362/1625968856233090720\ 11425282077*c_1001_10^12 - 1015399783311836614923582336514/16259688\ 5623309072011425282077*c_1001_10^11 + 3464506956846574147890042441199/162596885623309072011425282077*c_10\ 01_10^10 + 2030711530100010771662220026070/162596885623309072011425\ 282077*c_1001_10^9 - 6379074633000446562530756854338/16259688562330\ 9072011425282077*c_1001_10^8 - 6434620843790538236871415222182/1625\ 96885623309072011425282077*c_1001_10^7 - 5664036280336830866382224218481/162596885623309072011425282077*c_10\ 01_10^6 - 6207021741068754643349539668155/1625968856233090720114252\ 82077*c_1001_10^5 + 7211451934330987962169325939394/162596885623309\ 072011425282077*c_1001_10^4 + 4194105292450835302817882628679/16259\ 6885623309072011425282077*c_1001_10^3 - 248355182912655377372893816755/5245060826558357161658880067*c_1001_\ 10^2 - 6198874711032712027934866213595/1625968856233090720114252820\ 77*c_1001_10 - 2537982096119603643800336790351/16259688562330907201\ 1425282077, c_0011_6 + 13885029633376675213939873204/162596885623309072011425282077\ *c_1001_10^13 + 10240013550966047388769009664/162596885623309072011\ 425282077*c_1001_10^12 + 30546752146370308723446652697/162596885623\ 309072011425282077*c_1001_10^11 - 75303722421054503968215757868/162\ 596885623309072011425282077*c_1001_10^10 - 78240140321834760834089127864/162596885623309072011425282077*c_1001\ _10^9 - 60574628126725236567486085290/16259688562330907201142528207\ 7*c_1001_10^8 + 350134261853787528337161384894/16259688562330907201\ 1425282077*c_1001_10^7 + 456435231338749953499546089616/16259688562\ 3309072011425282077*c_1001_10^6 + 252501155397359975540240541088/16\ 2596885623309072011425282077*c_1001_10^5 + 4153803431385460387671710129/162596885623309072011425282077*c_1001_\ 10^4 - 252903847016814248326848303962/16259688562330907201142528207\ 7*c_1001_10^3 - 8095932960710691613264320687/5245060826558357161658\ 880067*c_1001_10^2 + 345393324325356656529270479296/162596885623309\ 072011425282077*c_1001_10 + 364139287349101149105652661777/16259688\ 5623309072011425282077, c_0101_0 - 1, c_0101_1 + 827498182950142861446021418555/32519377124661814402285056415\ 4*c_1001_10^13 - 183184956072013265677019885878/1625968856233090720\ 11425282077*c_1001_10^12 + 550181691592338356933986428453/162596885\ 623309072011425282077*c_1001_10^11 - 1958879234560287750882622246105/162596885623309072011425282077*c_10\ 01_10^10 - 2704719955910901776291311253267/325193771246618144022850\ 564154*c_1001_10^9 + 3755719014361559785448947859611/16259688562330\ 9072011425282077*c_1001_10^8 + 8107372486022790050189068725991/3251\ 93771246618144022850564154*c_1001_10^7 + 3258810707816575229661545481112/162596885623309072011425282077*c_10\ 01_10^6 + 3698760452983448830968653840723/1625968856233090720114252\ 82077*c_1001_10^5 - 4097910595435954358903742660190/162596885623309\ 072011425282077*c_1001_10^4 - 2915685397163667767649913713953/16259\ 6885623309072011425282077*c_1001_10^3 + 144650597951610848158407936442/5245060826558357161658880067*c_1001_\ 10^2 + 7750991481210397854630877197113/3251937712466181440228505641\ 54*c_1001_10 + 1411434586748658642218713178899/16259688562330907201\ 1425282077, c_0101_11 + 83334234956436074751/24405316445600724178*c_1001_10^13 - 17866654534539355081/12202658222800362089*c_1001_10^12 + 56894807520759592489/12202658222800362089*c_1001_10^11 - 197546826195215585873/12202658222800362089*c_1001_10^10 - 273459192109798976331/24405316445600724178*c_1001_10^9 + 368912396674525580855/12202658222800362089*c_1001_10^8 + 816968233927443747711/24405316445600724178*c_1001_10^7 + 353095770235301157359/12202658222800362089*c_1001_10^6 + 385493193503487190683/12202658222800362089*c_1001_10^5 - 402471363688980307552/12202658222800362089*c_1001_10^4 - 280077941228274713622/12202658222800362089*c_1001_10^3 + 14117657008516778159/393634136219366519*c_1001_10^2 + 806618890132842538549/24405316445600724178*c_1001_10 + 168789949784674269873/12202658222800362089, c_0101_12 - 1, c_0101_3 - 1375694076135683006103589249773/3251937712466181440228505641\ 54*c_1001_10^13 + 307307694281674504924200061805/162596885623309072\ 011425282077*c_1001_10^12 - 958928973336537362028381935813/16259688\ 5623309072011425282077*c_1001_10^11 + 3304571608262586616067847634504/162596885623309072011425282077*c_10\ 01_10^10 + 4305863327862060399743782506907/325193771246618144022850\ 564154*c_1001_10^9 - 6021103056141474011530333225406/16259688562330\ 9072011425282077*c_1001_10^8 - 13420487625939098997076872120879/325\ 193771246618144022850564154*c_1001_10^7 - 5810935894049545353960000399015/162596885623309072011425282077*c_10\ 01_10^6 - 6184614720572282197351323883317/1625968856233090720114252\ 82077*c_1001_10^5 + 6652528114779948452343899791092/162596885623309\ 072011425282077*c_1001_10^4 + 4458507646102041829005909043361/16259\ 6885623309072011425282077*c_1001_10^3 - 231031448935332422106440220184/5245060826558357161658880067*c_1001_\ 10^2 - 13155200793092298747937777313449/325193771246618144022850564\ 154*c_1001_10 - 2776282086083442042840489114342/1625968856233090720\ 11425282077, c_0101_8 - 2003202141635029795986188763/162596885623309072011425282077*\ c_1001_10^13 - 30717977912224112600090218836/1625968856233090720114\ 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