Magma V2.19-8 Wed Aug 21 2013 01:08:13 on localhost [Seed = 1646558041] Type ? for help. Type -D to quit. Loading file "L14n38769__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38769 geometric_solution 11.55292360 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 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 -8 7 1 0 0 0 0 -7 6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.069906924191 1.621940769875 0 5 7 6 0132 0132 0132 0132 1 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 -1 1 0 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612632467554 0.757973919579 5 0 9 8 0132 0132 0132 0132 0 0 0 1 0 -1 0 1 -1 0 0 1 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 8 0 -8 8 0 0 -8 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320100439807 0.891039182086 4 3 3 0 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 -1 0 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 7 0 -7 7 0 -7 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026524315325 0.615402106685 10 11 0 3 0132 0132 0132 2310 0 0 0 1 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 7 0 -7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.069906924191 1.621940769875 2 1 10 11 0132 0132 2310 2310 1 0 1 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 0 1 0 -1 -8 0 8 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192031752386 0.639329396234 11 12 1 7 2310 0132 0132 0321 1 0 1 0 0 0 0 0 1 0 0 -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 0 0 0 -7 0 0 7 -7 0 0 7 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781266521653 0.308018853630 9 6 12 1 0321 0321 3201 0132 1 0 1 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 0 1 -1 0 0 0 0 0 -7 0 7 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634025320505 1.165704963735 12 9 2 10 3201 3120 0132 1023 0 0 1 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 0 0 0 0 0 -8 8 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357089516057 0.994002852699 7 8 10 2 0321 3120 1023 0132 0 0 1 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357089516057 0.994002852699 4 5 9 8 0132 3201 1023 1023 0 0 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320100439807 0.891039182086 5 4 6 12 3201 0132 3201 1302 0 1 1 0 0 0 -1 1 1 0 -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 -1 8 -7 -6 0 7 -1 1 -1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612632467554 0.757973919579 7 6 11 8 2310 0132 2031 2310 1 0 0 1 0 0 0 0 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 0 0 0 -7 0 7 0 0 -8 0 8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639933498556 0.662010324247 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : negation(d['c_0110_8']), 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0110_8']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0110_8'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], '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' : 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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1100_10']), 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : negation(d['c_0110_11']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0110_8']), 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0011_8'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_7, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_0110_11, c_0110_8, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 18962970112267821175970989510335/6229717898857386276600484016*c_110\ 0_10^12 - 2701880015107118936557707519905913/1993509727634363608512\ 15488512*c_1100_10^11 - 292513691074559627553010399132479/249188715\ 95429545106401936064*c_1100_10^10 + 14640741506648435596677171087546901/199350972763436360851215488512*\ c_1100_10^9 + 22755017859592492034376029721580589/99675486381718180\ 425607744256*c_1100_10^8 + 2860466311065668668653908033393409/49837\ 743190859090212803872128*c_1100_10^7 - 4840702574126629761085045138915841/12459435797714772553200968032*c_\ 1100_10^6 - 466566519819847904501246953438805/155742947471434656915\ 0121004*c_1100_10^5 + 99115594164487082692443510302547/311485894942\ 8693138300242008*c_1100_10^4 - 129126996958610954882965144360447/15\ 57429474714346569150121004*c_1100_10^3 - 86907517229953802360092004996590/389357368678586642287530251*c_1100\ _10^2 - 59883134610672595532407913499055/77871473735717328457506050\ 2*c_1100_10 + 48631118158217661549578694520817/77871473735717328457\ 5060502, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 18044702276036624644342285/3114858949428693138300242008*c_1\ 100_10^12 + 3847811317725024725621137883/99675486381718180425607744\ 256*c_1100_10^11 + 2944001152850615240324966333/4983774319085909021\ 2803872128*c_1100_10^10 - 16220575539999760878172543299/99675486381\ 718180425607744256*c_1100_10^9 - 9588171650061017926827839677/12459\ 435797714772553200968032*c_1100_10^8 - 14833958849125483680723029645/24918871595429545106401936064*c_1100_\ 10^7 + 10117700612022101485182049401/6229717898857386276600484016*c\ _1100_10^6 + 24275994790080091928988894599/124594357977147725532009\ 68032*c_1100_10^5 - 1832350602302252571823883673/311485894942869313\ 8300242008*c_1100_10^4 - 3992283173225769873311912039/3114858949428\ 693138300242008*c_1100_10^3 + 414506065795578276640921621/155742947\ 4714346569150121004*c_1100_10^2 + 876940585667037991064694299/77871\ 4737357173284575060502*c_1100_10 - 82817990494966703795763228/389357368678586642287530251, c_0011_3 - 25907430153696438285218705/3114858949428693138300242008*c_11\ 00_10^12 - 7559466981839493087590288439/996754863817181804256077442\ 56*c_1100_10^11 - 4477953052229830831561891753/24918871595429545106\ 401936064*c_1100_10^10 + 12819655111882158146352540591/996754863817\ 18180425607744256*c_1100_10^9 + 76856255856815314033266325361/49837\ 743190859090212803872128*c_1100_10^8 + 30593049945406314287038020987/12459435797714772553200968032*c_1100_\ 10^7 - 17128303667212567362503141519/12459435797714772553200968032*\ c_1100_10^6 - 57256403571422276927106763091/12459435797714772553200\ 968032*c_1100_10^5 - 11017932313626655720348407615/6229717898857386\ 276600484016*c_1100_10^4 - 550384903871415898100426057/778714737357\ 173284575060502*c_1100_10^3 - 868485954705850919706573849/389357368\ 678586642287530251*c_1100_10^2 - 512060244052409543428830845/389357\ 368678586642287530251*c_1100_10 + 42141049379423724897732603/389357\ 368678586642287530251, c_0011_7 - 6989367879721671403203535/100479320949312681880652968*c_1100\ _10^12 - 30370808725633811888753750263/9967548638171818042560774425\ 6*c_1100_10^11 - 13815082698090737351900198221/49837743190859090212\ 803872128*c_1100_10^10 + 158796487724515214249560769919/99675486381\ 718180425607744256*c_1100_10^9 + 63515278930191089688400023443/1245\ 9435797714772553200968032*c_1100_10^8 + 42457699056671347839128854825/24918871595429545106401936064*c_1100_\ 10^7 - 93442300854175612168913079365/12459435797714772553200968032*\ c_1100_10^6 - 92637472108776221431959836799/12459435797714772553200\ 968032*c_1100_10^5 - 5109816275103773410228309117/31148589494286931\ 38300242008*c_1100_10^4 - 4303490305313448302019457937/311485894942\ 8693138300242008*c_1100_10^3 - 3435058354419304288221567921/7787147\ 37357173284575060502*c_1100_10^2 - 1990854721465382146793156753/778714737357173284575060502*c_1100_10 + 225361795700920000767210690/389357368678586642287530251, c_0011_8 - 10223577732206317967796155/389357368678586642287530251*c_110\ 0_10^12 - 1883732686550581895333567149/1245943579771477255320096803\ 2*c_1100_10^11 - 6097048648584595188565142099/249188715954295451064\ 01936064*c_1100_10^10 + 13184648791908616086558315691/2491887159542\ 9545106401936064*c_1100_10^9 + 69605979651023264446332269069/249188\ 71595429545106401936064*c_1100_10^8 + 71282125346041722093651089817/24918871595429545106401936064*c_1100_\ 10^7 - 4763050335859763444246518759/1557429474714346569150121004*c_\ 1100_10^6 - 10282267247812461571295322631/1557429474714346569150121\ 004*c_1100_10^5 - 8278078133764335954427040561/31148589494286931383\ 00242008*c_1100_10^4 - 2111819329717565616696724269/311485894942869\ 3138300242008*c_1100_10^3 - 1073042842391204486088575397/3893573686\ 78586642287530251*c_1100_10^2 - 793999072662335107677310240/3893573\ 68678586642287530251*c_1100_10 + 315905374182902704275638/125599151\ 18664085235081621, c_0011_9 - 10223577732206317967796155/389357368678586642287530251*c_110\ 0_10^12 - 1883732686550581895333567149/1245943579771477255320096803\ 2*c_1100_10^11 - 6097048648584595188565142099/249188715954295451064\ 01936064*c_1100_10^10 + 13184648791908616086558315691/2491887159542\ 9545106401936064*c_1100_10^9 + 69605979651023264446332269069/249188\ 71595429545106401936064*c_1100_10^8 + 71282125346041722093651089817/24918871595429545106401936064*c_1100_\ 10^7 - 4763050335859763444246518759/1557429474714346569150121004*c_\ 1100_10^6 - 10282267247812461571295322631/1557429474714346569150121\ 004*c_1100_10^5 - 8278078133764335954427040561/31148589494286931383\ 00242008*c_1100_10^4 - 2111819329717565616696724269/311485894942869\ 3138300242008*c_1100_10^3 - 1073042842391204486088575397/3893573686\ 78586642287530251*c_1100_10^2 - 793999072662335107677310240/3893573\ 68678586642287530251*c_1100_10 + 315905374182902704275638/125599151\ 18664085235081621, c_0101_0 - 1, c_0101_10 - 2450661505050713232787905/3114858949428693138300242008*c_11\ 00_10^12 - 230703666890404048000787079/9967548638171818042560774425\ 6*c_1100_10^11 + 283567195477809345504113749/2491887159542954510640\ 1936064*c_1100_10^10 + 4501370457752097713762860003/996754863817181\ 80425607744256*c_1100_10^9 + 933730048642391423161680573/4983774319\ 0859090212803872128*c_1100_10^8 - 6049547709552293368896882655/2491\ 8871595429545106401936064*c_1100_10^7 - 2015364654305980138299108139/6229717898857386276600484016*c_1100_10\ ^6 + 6177307978539395252840439565/12459435797714772553200968032*c_1\ 100_10^5 - 448769657061902406819874101/6229717898857386276600484016\ *c_1100_10^4 - 1631749224081210635911736959/31148589494286931383002\ 42008*c_1100_10^3 + 897726454850568034077961675/1557429474714346569\ 150121004*c_1100_10^2 + 210480123657486455985138218/389357368678586\ 642287530251*c_1100_10 + 52333696766933337457983772/389357368678586\ 642287530251, c_0101_5 + 16501817181783461948025255/389357368678586642287530251*c_110\ 0_10^12 + 1983997514029513708936149049/1245943579771477255320096803\ 2*c_1100_10^11 + 3058080670461184241992627675/498377431908590902128\ 03872128*c_1100_10^10 - 6469906405634981743107751563/62297178988573\ 86276600484016*c_1100_10^9 - 122404085271141778434988225827/4983774\ 3190859090212803872128*c_1100_10^8 + 18143756163713687555916182583/24918871595429545106401936064*c_1100_\ 10^7 + 3569266352826985159973294379/778714737357173284575060502*c_1\ 100_10^6 + 8194184244653577566512128053/622971789885738627660048401\ 6*c_1100_10^5 - 6374343445895856718718324677/6229717898857386276600\ 484016*c_1100_10^4 + 4218892263045438214668813417/31148589494286931\ 38300242008*c_1100_10^3 + 652950125779329535287384261/3893573686785\ 86642287530251*c_1100_10^2 + 116229925480056354906897467/3893573686\ 78586642287530251*c_1100_10 - 136624848767734098639374749/389357368\ 678586642287530251, c_0110_11 + 681671365944692012755639255/48280313716144743643653751124*c\ _1100_10^12 + 91662607370977763817932841729/15449700389166317965969\ 20035968*c_1100_10^11 + 107089927850781937631086324297/154497003891\ 6631796596920035968*c_1100_10^10 - 349035313659971204238147845171/1544970038916631796596920035968*c_11\ 00_10^9 - 1359689209258694674767908018607/1544970038916631796596920\ 035968*c_1100_10^8 - 35733483440165582769085535919/4828031371614474\ 3643653751124*c_1100_10^7 - 52292136709549564839738565111/193121254\ 864578974574615004496*c_1100_10^6 + 62337428022158059554472693831/96560627432289487287307502248*c_1100_\ 10^5 + 614669234817457250297393701221/19312125486457897457461500449\ 6*c_1100_10^4 + 165748009091319279118228998121/48280313716144743643\ 653751124*c_1100_10^3 + 28746306647601048721045885601/2414015685807\ 2371821826875562*c_1100_10^2 + 823721205941288347810370784/12070078\ 429036185910913437781*c_1100_10 + 7488773428221676135467834748/1207\ 0078429036185910913437781, c_0110_8 + 6989367879721671403203535/100479320949312681880652968*c_1100\ _10^12 + 30370808725633811888753750263/9967548638171818042560774425\ 6*c_1100_10^11 + 13815082698090737351900198221/49837743190859090212\ 803872128*c_1100_10^10 - 158796487724515214249560769919/99675486381\ 718180425607744256*c_1100_10^9 - 63515278930191089688400023443/1245\ 9435797714772553200968032*c_1100_10^8 - 42457699056671347839128854825/24918871595429545106401936064*c_1100_\ 10^7 + 93442300854175612168913079365/12459435797714772553200968032*\ c_1100_10^6 + 92637472108776221431959836799/12459435797714772553200\ 968032*c_1100_10^5 + 5109816275103773410228309117/31148589494286931\ 38300242008*c_1100_10^4 + 4303490305313448302019457937/311485894942\ 8693138300242008*c_1100_10^3 + 3435058354419304288221567921/7787147\ 37357173284575060502*c_1100_10^2 + 1990854721465382146793156753/778714737357173284575060502*c_1100_10 - 225361795700920000767210690/389357368678586642287530251, c_1100_10^13 + 739/160*c_1100_10^12 + 23/5*c_1100_10^11 - 751/32*c_1100_10^10 - 6319/80*c_1100_10^9 - 157/5*c_1100_10^8 + 621/5*c_1100_10^7 + 2389/20*c_1100_10^6 + 63/10*c_1100_10^5 + 26*c_1100_10^4 + 78*c_1100_10^3 + 188/5*c_1100_10^2 - 16*c_1100_10 - 16/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.620 seconds, Total memory usage: 32.09MB