Magma V2.19-8 Wed Aug 21 2013 00:15:37 on localhost [Seed = 1646530232] Type ? for help. Type -D to quit. Loading file "K13n4659__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4659 geometric_solution 11.74106916 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 0.135269979242 0.914558793950 0 3 6 5 0132 1230 0132 0132 0 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 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 0.531356973610 0.569053201812 7 0 8 5 0132 0132 0132 2031 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 0.392036323710 0.793455422945 9 10 1 0 0132 0132 3012 0132 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 -1 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 0.437293182446 1.311701194941 10 7 0 6 3120 0132 0132 2031 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 1 -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 0.610393393171 0.851041473450 10 2 1 11 2103 1302 0132 0132 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 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 0.470006130099 0.992024927945 8 4 12 1 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566217512453 1.191088920742 2 4 9 11 0132 0132 0132 1023 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 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 0.585379677576 0.548653577849 9 11 6 2 1230 1023 1302 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 0.493697201656 1.879965766119 3 8 12 7 0132 3012 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 -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 0.799711620452 0.587108321524 12 3 5 4 1023 0132 2103 3120 0 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 1 0 -1 1 0 -1 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514840924790 0.264439371110 8 12 5 7 1023 2031 0132 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 1 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 0.093133935687 0.668292768564 11 10 9 6 1302 1023 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 -1 1 0 0 0 0 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 1.528174513122 0.627330102877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : d['c_0011_5'], 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0110_11'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0110_11'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_0'], 's_0_10' : d['1'], 's_3_10' : 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_1'], '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' : d['c_0101_6'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0110_11'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0110_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' : d['c_1100_1'], '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_11'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : 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' : negation(d['c_0011_6']), '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' : d['c_0101_3'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_10, c_0110_11, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 5388414194509877509820775679/1268592966057470498095599872*c_1100_1^\ 22 + 4605257338340638165732719665/1268592966057470498095599872*c_11\ 00_1^21 + 14838223896275108289646336685/634296483028735249047799936\ *c_1100_1^20 - 32863615495795294270887507887/1268592966057470498095\ 599872*c_1100_1^19 + 413283514874541608119987473/113267229112274151\ 61567856*c_1100_1^18 - 111177611704414155943515670033/1268592966057\ 470498095599872*c_1100_1^17 - 33951912739409601611344847109/6342964\ 83028735249047799936*c_1100_1^16 - 2222276963836041028240170351/90613783289819321292542848*c_1100_1^15 - 278605531747854039523924572901/1268592966057470498095599872*c_110\ 0_1^14 + 243512842450815399261460119421/126859296605747049809559987\ 2*c_1100_1^13 - 1768898339681017220472104719/9538292977875718030793\ 984*c_1100_1^12 + 5355310293254867727052470109/15470645927530128025\ 556096*c_1100_1^11 + 179301794389769216302702855777/126859296605747\ 0498095599872*c_1100_1^10 + 189600967492887510130025915501/63429648\ 3028735249047799936*c_1100_1^9 + 369405781616130542696050555353/126\ 8592966057470498095599872*c_1100_1^8 + 4633598629635977346225174213/21501575695889330476196608*c_1100_1^7 + 97990495475746288666666243995/1268592966057470498095599872*c_1100_1\ ^6 + 138375346914600716318313195717/1268592966057470498095599872*c_\ 1100_1^5 - 2010906383290863819935378895/66768050845130026215557888*\ c_1100_1^4 - 364956653275245578884459879/45306891644909660646271424\ *c_1100_1^3 - 1117027669375806721912733923/181227566579638642585085\ 696*c_1100_1^2 - 12818294825156997475072634271/12685929660574704980\ 95599872*c_1100_1 - 8195787440942258046655825681/126859296605747049\ 8095599872, c_0011_0 - 1, c_0011_10 - 835580076842837/5162057789943768*c_1100_1^22 - 895223621391955/5162057789943768*c_1100_1^21 - 94614886457455/122906137855804*c_1100_1^20 + 5206560913301365/5162057789943768*c_1100_1^19 - 251338547764790/645257223742971*c_1100_1^18 + 569688052773623/245812275711608*c_1100_1^17 + 7171676820028363/2581028894971884*c_1100_1^16 - 891211790831643/860342964990628*c_1100_1^15 + 3741490722303673/737436827134824*c_1100_1^14 - 10697571668056269/1720685929981256*c_1100_1^13 + 5185229711798233/5162057789943768*c_1100_1^12 - 6320740052644917/860342964990628*c_1100_1^11 - 11396815434901689/1720685929981256*c_1100_1^10 - 1198815173705485/368718413567412*c_1100_1^9 - 18671860928501243/5162057789943768*c_1100_1^8 - 685755288294367/1720685929981256*c_1100_1^7 + 2055237901019549/1720685929981256*c_1100_1^6 + 2956771018729777/5162057789943768*c_1100_1^5 - 247573401916159/737436827134824*c_1100_1^4 + 1882652283553/430171482495314*c_1100_1^3 - 7984136824633633/5162057789943768*c_1100_1^2 - 700500344487403/5162057789943768*c_1100_1 - 4414099125664157/5162057789943768, c_0011_11 - 25273549299214/215085741247657*c_1100_1^22 - 56778771072831/215085741247657*c_1100_1^21 - 18731701249754/30726534463951*c_1100_1^20 - 4143600113944/215085741247657*c_1100_1^19 + 220278269494443/215085741247657*c_1100_1^18 - 1235314772470/30726534463951*c_1100_1^17 + 1355136364424973/215085741247657*c_1100_1^16 - 400655381101985/215085741247657*c_1100_1^15 + 138195388378622/30726534463951*c_1100_1^14 + 176470505775085/215085741247657*c_1100_1^13 - 2355399031645721/215085741247657*c_1100_1^12 + 1589674939715085/215085741247657*c_1100_1^11 - 5077358826069574/215085741247657*c_1100_1^10 + 195327509043031/30726534463951*c_1100_1^9 - 2746037045990558/215085741247657*c_1100_1^8 + 215928390204901/215085741247657*c_1100_1^7 + 135121235825346/215085741247657*c_1100_1^6 + 533476332829859/215085741247657*c_1100_1^5 - 115245952857346/30726534463951*c_1100_1^4 + 598053330349926/215085741247657*c_1100_1^3 - 811682035772344/215085741247657*c_1100_1^2 + 90490224833263/215085741247657*c_1100_1 + 35032988631254/215085741247657, c_0011_5 - 235742725412851/2581028894971884*c_1100_1^22 + 140245889961811/2581028894971884*c_1100_1^21 - 21905026480235/61453068927902*c_1100_1^20 + 3517256708057711/2581028894971884*c_1100_1^19 - 932979799148588/645257223742971*c_1100_1^18 + 370413041428125/122906137855804*c_1100_1^17 - 2675398723442107/1290514447485942*c_1100_1^16 - 433530068723211/430171482495314*c_1100_1^15 + 600836858449367/368718413567412*c_1100_1^14 - 8439176277099135/860342964990628*c_1100_1^13 + 23282077344475007/2581028894971884*c_1100_1^12 - 5558595431406247/430171482495314*c_1100_1^11 + 11356689487389313/860342964990628*c_1100_1^10 - 1004162672693735/184359206783706*c_1100_1^9 + 31921705569230255/2581028894971884*c_1100_1^8 - 232710078572257/860342964990628*c_1100_1^7 + 6720900285749655/860342964990628*c_1100_1^6 - 6383667317380753/2581028894971884*c_1100_1^5 + 356094780463699/368718413567412*c_1100_1^4 - 770233196530446/215085741247657*c_1100_1^3 + 1346761846865965/2581028894971884*c_1100_1^2 - 2594019057411905/2581028894971884*c_1100_1 + 2953373377339397/2581028894971884, c_0011_6 - 198285378299215/1720685929981256*c_1100_1^22 - 338905605164401/1720685929981256*c_1100_1^21 - 64339158581363/122906137855804*c_1100_1^20 + 698558470366087/1720685929981256*c_1100_1^19 + 170386658261201/215085741247657*c_1100_1^18 + 168848276203327/245812275711608*c_1100_1^17 + 4015625796240589/860342964990628*c_1100_1^16 - 1993271351964539/860342964990628*c_1100_1^15 + 775018765855539/245812275711608*c_1100_1^14 - 4091689899459325/1720685929981256*c_1100_1^13 - 15126772603219509/1720685929981256*c_1100_1^12 + 2722983611373671/860342964990628*c_1100_1^11 - 30253232545380697/1720685929981256*c_1100_1^10 + 686752716203985/122906137855804*c_1100_1^9 - 9972024083573889/1720685929981256*c_1100_1^8 + 4219173897352409/1720685929981256*c_1100_1^7 + 9522849823475677/1720685929981256*c_1100_1^6 + 1556083924028323/1720685929981256*c_1100_1^5 - 48601746298285/245812275711608*c_1100_1^4 + 350841394313827/430171482495314*c_1100_1^3 - 4096707303811723/1720685929981256*c_1100_1^2 - 868945382682361/1720685929981256*c_1100_1 + 345859295869193/1720685929981256, c_0101_0 + 344827853911705/1720685929981256*c_1100_1^22 - 786999250867545/1720685929981256*c_1100_1^21 + 100307289388153/122906137855804*c_1100_1^20 - 7476481372377337/1720685929981256*c_1100_1^19 + 1560378747934962/215085741247657*c_1100_1^18 - 2546601543300633/245812275711608*c_1100_1^17 + 10805800423189561/860342964990628*c_1100_1^16 + 129567005864265/860342964990628*c_1100_1^15 - 2674967973082125/245812275711608*c_1100_1^14 + 59630772196671443/1720685929981256*c_1100_1^13 - 88655298924015517/1720685929981256*c_1100_1^12 + 46183438209453659/860342964990628*c_1100_1^11 - 97279896809831833/1720685929981256*c_1100_1^10 + 3035781137017981/122906137855804*c_1100_1^9 - 34066031684342281/1720685929981256*c_1100_1^8 + 3524810424962857/1720685929981256*c_1100_1^7 - 2944979428837555/1720685929981256*c_1100_1^6 + 17666960090856899/1720685929981256*c_1100_1^5 - 1819411427186573/245812275711608*c_1100_1^4 + 3813841790831307/430171482495314*c_1100_1^3 - 9583080139762891/1720685929981256*c_1100_1^2 + 1316456833865343/1720685929981256*c_1100_1 - 1165649557309159/1720685929981256, c_0101_1 - 432888544643491/860342964990628*c_1100_1^22 + 27651065018623/860342964990628*c_1100_1^21 - 148233138851137/61453068927902*c_1100_1^20 + 4854286518707335/860342964990628*c_1100_1^19 - 1592599345613047/215085741247657*c_1100_1^18 + 1798914005685307/122906137855804*c_1100_1^17 - 1978217289988903/430171482495314*c_1100_1^16 - 734839746571197/430171482495314*c_1100_1^15 + 2795894209572983/122906137855804*c_1100_1^14 - 39729716480161333/860342964990628*c_1100_1^13 + 41215981911269615/860342964990628*c_1100_1^12 - 27390233282930165/430171482495314*c_1100_1^11 + 25293614605258039/860342964990628*c_1100_1^10 - 1525532615249523/61453068927902*c_1100_1^9 + 496208548053059/860342964990628*c_1100_1^8 + 1845763612219313/860342964990628*c_1100_1^7 + 4927805241114589/860342964990628*c_1100_1^6 - 7284154081067249/860342964990628*c_1100_1^5 + 1107334063371435/122906137855804*c_1100_1^4 - 1760309399082060/215085741247657*c_1100_1^3 + 340586822123021/860342964990628*c_1100_1^2 + 274528275938955/860342964990628*c_1100_1 - 164403076302523/860342964990628, c_0101_3 - 138452995280480/645257223742971*c_1100_1^22 + 167243591261198/645257223742971*c_1100_1^21 - 34306639228283/30726534463951*c_1100_1^20 + 2311033159498654/645257223742971*c_1100_1^19 - 4055075417013727/645257223742971*c_1100_1^18 + 323861734028045/30726534463951*c_1100_1^17 - 6746930538725191/645257223742971*c_1100_1^16 + 689355488185858/215085741247657*c_1100_1^15 + 873352711196005/92179603391853*c_1100_1^14 - 6525052885748853/215085741247657*c_1100_1^13 + 29807067661889527/645257223742971*c_1100_1^12 - 11730664523102978/215085741247657*c_1100_1^11 + 11158946071802155/215085741247657*c_1100_1^10 - 3001670401157327/92179603391853*c_1100_1^9 + 13259162529727858/645257223742971*c_1100_1^8 - 1244498374760591/215085741247657*c_1100_1^7 + 1164005559603381/215085741247657*c_1100_1^6 - 7351461862104200/645257223742971*c_1100_1^5 + 916225871766569/92179603391853*c_1100_1^4 - 2203281214976470/215085741247657*c_1100_1^3 + 3271006536176069/645257223742971*c_1100_1^2 - 348609697186132/645257223742971*c_1100_1 + 330449562976951/645257223742971, c_0101_6 - 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