Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 425231743] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s759 geometric_solution 5.29756661 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 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 1 0 -1 -1 0 1 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 0.469830896678 0.653893271009 3 2 4 0 0132 3012 0132 0132 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 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 0.806812849581 0.918040170421 1 3 0 4 1230 0132 0132 2310 0 0 0 0 0 0 -1 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 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 0.806812849581 0.918040170421 1 2 5 5 0132 0132 0132 2310 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 1 -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 0 0 0 0.486187292634 1.198241888773 2 4 4 1 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234652745960 0.743198431024 3 5 5 3 3201 3201 2310 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 -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 -0.729409569231 0.491207253976 ==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' : negation(d['1']), 's_2_5' : 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' : d['1'], 's_1_0' : 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_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 20*c_0101_1^2 - 29*c_0101_1 + 36, c_0011_0 - 1, c_0011_1 - c_0101_1 - 1, c_0011_4 + c_0101_1^2 + 2*c_0101_1, c_0011_5 - c_0101_1^2 - c_0101_1, c_0101_0 + c_0101_1 + 1, c_0101_1^3 + 2*c_0101_1^2 - c_0101_1 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 2209700683704292176/655564818411012935*c_0101_1^18 - 13738228072207357841/655564818411012935*c_0101_1^17 - 11217192065682344576/655564818411012935*c_0101_1^16 + 251169867438553685734/655564818411012935*c_0101_1^15 - 118568027426679118115/131112963682202587*c_0101_1^14 + 80445583063422985294/655564818411012935*c_0101_1^13 + 1538724364995357903771/655564818411012935*c_0101_1^12 - 1422411027321882947063/655564818411012935*c_0101_1^11 - 2639169834265349294238/655564818411012935*c_0101_1^10 + 4519275514665017456087/655564818411012935*c_0101_1^9 + 302262800593176018739/131112963682202587*c_0101_1^8 - 5560989294030695874217/655564818411012935*c_0101_1^7 + 507879120503847041492/655564818411012935*c_0101_1^6 + 594411778134126461202/131112963682202587*c_0101_1^5 - 116023188339078977173/131112963682202587*c_0101_1^4 - 632272020221157165369/655564818411012935*c_0101_1^3 + 2739362528055148424/655564818411012935*c_0101_1^2 + 26282109997452886031/655564818411012935*c_0101_1 + 49562175250074276468/655564818411012935, c_0011_0 - 1, c_0011_1 - 104006639571786804/131112963682202587*c_0101_1^18 + 346737351752249868/131112963682202587*c_0101_1^17 + 1563880538355784350/131112963682202587*c_0101_1^16 - 7416383681535030472/131112963682202587*c_0101_1^15 + 5936390745015785257/131112963682202587*c_0101_1^14 + 15601328865406183276/131112963682202587*c_0101_1^13 - 28555794200246462674/131112963682202587*c_0101_1^12 - 20622128652823385037/131112963682202587*c_0101_1^11 + 71407850307856132899/131112963682202587*c_0101_1^10 + 2179077955960087062/131112963682202587*c_0101_1^9 - 81775889968703095561/131112963682202587*c_0101_1^8 + 17273800748658069386/131112963682202587*c_0101_1^7 + 42792552710648643358/131112963682202587*c_0101_1^6 - 10870995981858164606/131112963682202587*c_0101_1^5 - 8350189957314695604/131112963682202587*c_0101_1^4 + 255241570713479915/131112963682202587*c_0101_1^3 - 156213875125110120/131112963682202587*c_0101_1^2 + 756088365879414495/131112963682202587*c_0101_1 + 49319924924610491/131112963682202587, c_0011_4 - 76625726845319013/131112963682202587*c_0101_1^18 + 263518874592127212/131112963682202587*c_0101_1^17 + 1107729040639516911/131112963682202587*c_0101_1^16 - 5522434514945903444/131112963682202587*c_0101_1^15 + 5188362412943762188/131112963682202587*c_0101_1^14 + 9749295590660067943/131112963682202587*c_0101_1^13 - 20793498434481904242/131112963682202587*c_0101_1^12 - 11246361465462098813/131112963682202587*c_0101_1^11 + 49327865519036414547/131112963682202587*c_0101_1^10 - 5068443992045218946/131112963682202587*c_0101_1^9 - 49926724912838350091/131112963682202587*c_0101_1^8 + 15235649462849631956/131112963682202587*c_0101_1^7 + 21645752229424390690/131112963682202587*c_0101_1^6 - 5922933944771614102/131112963682202587*c_0101_1^5 - 3899698511223784673/131112963682202587*c_0101_1^4 - 387857354477705411/131112963682202587*c_0101_1^3 + 396006284088063468/131112963682202587*c_0101_1^2 + 255733117071079920/131112963682202587*c_0101_1 - 66736925376333784/131112963682202587, c_0011_5 - 61376066840202504/131112963682202587*c_0101_1^18 + 260102254790054308/131112963682202587*c_0101_1^17 + 720617453877456405/131112963682202587*c_0101_1^16 - 5127656277012500266/131112963682202587*c_0101_1^15 + 7621153395708381485/131112963682202587*c_0101_1^14 + 4477355128816956602/131112963682202587*c_0101_1^13 - 22217977220427921628/131112963682202587*c_0101_1^12 + 3134628733542498400/131112963682202587*c_0101_1^11 + 46285784207851797201/131112963682202587*c_0101_1^10 - 32641622962090147639/131112963682202587*c_0101_1^9 - 37051601936281967852/131112963682202587*c_0101_1^8 + 38234234708415554692/131112963682202587*c_0101_1^7 + 10573778965354043647/131112963682202587*c_0101_1^6 - 14764803003074812951/131112963682202587*c_0101_1^5 - 1597843422128018721/131112963682202587*c_0101_1^4 + 1292035024558318557/131112963682202587*c_0101_1^3 + 738874625232252417/131112963682202587*c_0101_1^2 + 141799262540021218/131112963682202587*c_0101_1 - 35394960560351954/131112963682202587, c_0101_0 - 63583056522603946/131112963682202587*c_0101_1^18 + 201578916962752139/131112963682202587*c_0101_1^17 + 1015460012479829083/131112963682202587*c_0101_1^16 - 4452305113127169161/131112963682202587*c_0101_1^15 + 2505484784330444319/131112963682202587*c_0101_1^14 + 11733462467735274914/131112963682202587*c_0101_1^13 - 17003086540986642213/131112963682202587*c_0101_1^12 - 18646266626330787669/131112963682202587*c_0101_1^11 + 46658327029009629283/131112963682202587*c_0101_1^10 + 13449021553249402460/131112963682202587*c_0101_1^9 - 62322917268382304293/131112963682202587*c_0101_1^8 - 16025688254996363/131112963682202587*c_0101_1^7 + 39852926857283605224/131112963682202587*c_0101_1^6 - 2648828584164630686/131112963682202587*c_0101_1^5 - 10710294409139957175/131112963682202587*c_0101_1^4 - 923058814115008760/131112963682202587*c_0101_1^3 + 372714394385531778/131112963682202587*c_0101_1^2 + 845516501095948999/131112963682202587*c_0101_1 + 68334017932481684/131112963682202587, c_0101_1^19 - 4*c_0101_1^18 - 13*c_0101_1^17 + 82*c_0101_1^16 - 102*c_0101_1^15 - 126*c_0101_1^14 + 389*c_0101_1^13 + 39*c_0101_1^12 - 874*c_0101_1^11 + 411*c_0101_1^10 + 934*c_0101_1^9 - 712*c_0101_1^8 - 442*c_0101_1^7 + 424*c_0101_1^6 + 85*c_0101_1^5 - 79*c_0101_1^4 - 14*c_0101_1^3 - 6*c_0101_1^2 + 5*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB