Magma V2.19-8 Tue Aug 20 2013 23:55:28 on localhost [Seed = 1781269034] Type ? for help. Type -D to quit. Loading file "L14a21829__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21829 geometric_solution 11.44565190 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3120 1 0 1 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 0 -1 -1 0 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 0.243772813364 0.885028437554 0 2 5 4 0132 3201 0132 0132 1 0 1 1 0 -1 0 1 0 0 -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 3 0 -3 1 0 3 -4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243772813364 0.885028437554 2 0 1 2 3012 0132 2310 1230 1 1 1 1 0 0 -1 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 4 -3 3 0 0 -3 3 0 0 -3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175182163966 0.935311130799 0 5 6 0 3120 2103 0132 0132 1 0 1 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 0 0 0 0 0 1 -1 0 4 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558037454238 0.653082863124 5 7 1 8 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 3 -3 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355362131842 0.525114448576 4 3 7 1 0132 2103 0132 0132 1 0 1 1 0 1 -1 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 -4 4 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116074908476 1.306165726249 9 8 9 3 0132 3120 3120 0132 1 0 1 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 0 0 0 0 1 -1 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710724263683 1.050228897152 8 4 10 5 0132 0132 0132 0132 1 0 1 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 4 -4 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355362131842 0.525114448576 7 6 4 10 0132 3120 0132 0132 1 0 1 1 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 -3 3 0 -3 0 4 -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 1.116074908476 1.306165726249 6 11 6 10 0132 0132 3120 3120 1 0 1 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 0 0 0 0 0 0 0 0 0 -4 3 1 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 0.710724263683 1.050228897152 9 11 8 7 3120 0321 0132 0132 1 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 0 0 0 4 0 -4 -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 0.243772813364 0.885028437554 11 9 11 10 2310 0132 3201 0321 1 1 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 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 0 0 0 0 0 0 0 0.530384667048 0.601435445528 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_1001_6']), 'c_1001_8' : negation(d['c_1001_6']), 'c_1010_11' : negation(d['c_1001_6']), 'c_1010_10' : negation(d['c_1001_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], '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' : d['1'], 's_2_7' : 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' : negation(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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_1001_6']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : d['c_1100_1'], 's_3_1' : 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' : d['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' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_11'], '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_10']), 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0101_3']})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 139937087764589860686283535283536/35908502737010883566290265367*c_1\ 100_1^19 - 454402408792550592266919051973261/3590850273701088356629\ 0265367*c_1100_1^18 + 17123742424031154932551386902264/188992119668\ 4783345594224493*c_1100_1^17 - 2169152387918038276607045940106793/3\ 5908502737010883566290265367*c_1100_1^16 + 5990294719293508644588772160298346/35908502737010883566290265367*c_\ 1100_1^15 - 146358762145873760488199046487333/132994454581521790986\ 2602421*c_1100_1^14 + 12718365709296588987798757437822709/359085027\ 37010883566290265367*c_1100_1^13 - 25644404162430696760282957389876334/35908502737010883566290265367*c\ _1100_1^12 + 777613523841820169343288312302386/18899211966847833455\ 94224493*c_1100_1^11 - 1101071852820246469164797197375990/132994454\ 5815217909862602421*c_1100_1^10 + 109063981378900770449045483402682\ 31/11969500912336961188763421789*c_1100_1^9 + 418862747955481961970470680773289/35908502737010883566290265367*c_1\ 100_1^8 + 27004300202645555457501320597011840/359085027370108835662\ 90265367*c_1100_1^7 + 47587002015956502607239871981624184/359085027\ 37010883566290265367*c_1100_1^6 - 563952871832780611803927662612897\ /835081459000253106192796869*c_1100_1^5 + 36945916560880368828688598873696635/35908502737010883566290265367*c\ _1100_1^4 - 18094740134027891553112213669215032/3590850273701088356\ 6290265367*c_1100_1^3 + 29751671283157148025041706636832/9207308394\ 10535476058724753*c_1100_1^2 + 259569268518317289448758992060548/35\ 908502737010883566290265367*c_1100_1 - 14226747647197243106827098614698/35908502737010883566290265367, c_0011_0 - 1, c_0011_10 + 21216117538564913593/106027427953169791021*c_1100_1^19 - 79677872173045954634/106027427953169791021*c_1100_1^18 + 86223945969871252080/106027427953169791021*c_1100_1^17 - 360117806034402291637/106027427953169791021*c_1100_1^16 + 1079909535296191888097/106027427953169791021*c_1100_1^15 - 1090334249443918297664/106027427953169791021*c_1100_1^14 + 2315546341948119634367/106027427953169791021*c_1100_1^13 - 4921601953909015328312/106027427953169791021*c_1100_1^12 + 4384801098486226419270/106027427953169791021*c_1100_1^11 - 5999677561746276480819/106027427953169791021*c_1100_1^10 + 7445438840010479607440/106027427953169791021*c_1100_1^9 - 2827523714977717472179/106027427953169791021*c_1100_1^8 + 4479266952585821668545/106027427953169791021*c_1100_1^7 + 5139599733802031594956/106027427953169791021*c_1100_1^6 - 7027679477972670373042/106027427953169791021*c_1100_1^5 + 8142992499866232686940/106027427953169791021*c_1100_1^4 - 5898147877740411373732/106027427953169791021*c_1100_1^3 + 1925248520364535973195/106027427953169791021*c_1100_1^2 - 169514848603115310921/106027427953169791021*c_1100_1 - 160785576562343635653/106027427953169791021, c_0011_11 + 33577764117476813629/106027427953169791021*c_1100_1^19 - 125654201838663626866/106027427953169791021*c_1100_1^18 + 134723913375998902629/106027427953169791021*c_1100_1^17 - 567512203187590697298/106027427953169791021*c_1100_1^16 + 1699725277151248834179/106027427953169791021*c_1100_1^15 - 1698732191942142716665/106027427953169791021*c_1100_1^14 + 3628656230776973684482/106027427953169791021*c_1100_1^13 - 7718021446299935567391/106027427953169791021*c_1100_1^12 + 6801164651663874633296/106027427953169791021*c_1100_1^11 - 9323382696066210114824/106027427953169791021*c_1100_1^10 + 11553871574894161209992/106027427953169791021*c_1100_1^9 - 4201158385750907682908/106027427953169791021*c_1100_1^8 + 6879865660584125753169/106027427953169791021*c_1100_1^7 + 8438369844961439591922/106027427953169791021*c_1100_1^6 - 11136159796803179538922/106027427953169791021*c_1100_1^5 + 12844159324650286765143/106027427953169791021*c_1100_1^4 - 9156786842636255953883/106027427953169791021*c_1100_1^3 + 2928688842444257115324/106027427953169791021*c_1100_1^2 - 228914765501720324995/106027427953169791021*c_1100_1 - 253673569630657889632/106027427953169791021, c_0011_3 - 31540420234219970724/106027427953169791021*c_1100_1^19 + 117471012752724180752/106027427953169791021*c_1100_1^18 - 124023621860934312293/106027427953169791021*c_1100_1^17 + 528256320835380718384/106027427953169791021*c_1100_1^16 - 1582404040709230538014/106027427953169791021*c_1100_1^15 + 1558776057859297007416/106027427953169791021*c_1100_1^14 - 3345829095687197003089/106027427953169791021*c_1100_1^13 + 7130046287221415610645/106027427953169791021*c_1100_1^12 - 6200564942435599000349/106027427953169791021*c_1100_1^11 + 8487713351704714704506/106027427953169791021*c_1100_1^10 - 10469828602725255753397/106027427953169791021*c_1100_1^9 + 3618121699395220653588/106027427953169791021*c_1100_1^8 - 6166837978093594820251/106027427953169791021*c_1100_1^7 - 8199377425675928337200/106027427953169791021*c_1100_1^6 + 10226892985210395943446/106027427953169791021*c_1100_1^5 - 11760246267340834279003/106027427953169791021*c_1100_1^4 + 7932216447106114545194/106027427953169791021*c_1100_1^3 - 2254467348750244785343/106027427953169791021*c_1100_1^2 + 22211880608383507137/106027427953169791021*c_1100_1 + 231450371797092630822/106027427953169791021, c_0011_4 + c_1100_1^2, c_0101_0 - 1, c_0101_10 + 14616723075866823915/106027427953169791021*c_1100_1^19 - 57159065681038407080/106027427953169791021*c_1100_1^18 + 67574511843242880074/106027427953169791021*c_1100_1^17 - 255174110314024715438/106027427953169791021*c_1100_1^16 + 777309752261423648693/106027427953169791021*c_1100_1^15 - 855740637278177667857/106027427953169791021*c_1100_1^14 + 1679978260518476911789/106027427953169791021*c_1100_1^13 - 3572201300663936669506/106027427953169791021*c_1100_1^12 + 3452318601021485329369/106027427953169791021*c_1100_1^11 - 4442659612897803659438/106027427953169791021*c_1100_1^10 + 5493555841560221043035/106027427953169791021*c_1100_1^9 - 2442184809792990634488/106027427953169791021*c_1100_1^8 + 3143546710703765688702/106027427953169791021*c_1100_1^7 + 3370427712160984277559/106027427953169791021*c_1100_1^6 - 5567268982225248820581/106027427953169791021*c_1100_1^5 + 6211500693423118963637/106027427953169791021*c_1100_1^4 - 4580360772324890787833/106027427953169791021*c_1100_1^3 + 1461855655485630916488/106027427953169791021*c_1100_1^2 - 56033965187696406222/106027427953169791021*c_1100_1 - 144495298390798534687/106027427953169791021, c_0101_2 + 31540420234219970724/106027427953169791021*c_1100_1^19 - 117471012752724180752/106027427953169791021*c_1100_1^18 + 124023621860934312293/106027427953169791021*c_1100_1^17 - 528256320835380718384/106027427953169791021*c_1100_1^16 + 1582404040709230538014/106027427953169791021*c_1100_1^15 - 1558776057859297007416/106027427953169791021*c_1100_1^14 + 3345829095687197003089/106027427953169791021*c_1100_1^13 - 7130046287221415610645/106027427953169791021*c_1100_1^12 + 6200564942435599000349/106027427953169791021*c_1100_1^11 - 8487713351704714704506/106027427953169791021*c_1100_1^10 + 10469828602725255753397/106027427953169791021*c_1100_1^9 - 3618121699395220653588/106027427953169791021*c_1100_1^8 + 6166837978093594820251/106027427953169791021*c_1100_1^7 + 8199377425675928337200/106027427953169791021*c_1100_1^6 - 10226892985210395943446/106027427953169791021*c_1100_1^5 + 11760246267340834279003/106027427953169791021*c_1100_1^4 - 7932216447106114545194/106027427953169791021*c_1100_1^3 + 2254467348750244785343/106027427953169791021*c_1100_1^2 + 83815547344786283884/106027427953169791021*c_1100_1 - 231450371797092630822/106027427953169791021, c_0101_3 + c_1100_1, c_0101_5 + 7606474757698434895/106027427953169791021*c_1100_1^19 - 29696381769965785255/106027427953169791021*c_1100_1^18 + 35358288238643967862/106027427953169791021*c_1100_1^17 - 134143159175085352806/106027427953169791021*c_1100_1^16 + 405710246232455606943/106027427953169791021*c_1100_1^15 - 449222787627980599818/106027427953169791021*c_1100_1^14 + 891295741093638953782/106027427953169791021*c_1100_1^13 - 1878556605306123422081/106027427953169791021*c_1100_1^12 + 1826630467961223039725/106027427953169791021*c_1100_1^11 - 2379288754284717150155/106027427953169791021*c_1100_1^10 + 2937848310674996470417/106027427953169791021*c_1100_1^9 - 1362875741422460847117/106027427953169791021*c_1100_1^8 + 1695876874330470431618/106027427953169791021*c_1100_1^7 + 1742793141375467899739/106027427953169791021*c_1100_1^6 - 2794116160078995084167/106027427953169791021*c_1100_1^5 + 3368581872426899599207/106027427953169791021*c_1100_1^4 - 2580532566618367744537/106027427953169791021*c_1100_1^3 + 891508800188234343233/106027427953169791021*c_1100_1^2 - 25333267459510063337/106027427953169791021*c_1100_1 - 128877180003234059601/106027427953169791021, c_1001_6 + 32269937495047925049/106027427953169791021*c_1100_1^19 - 120145098302572387365/106027427953169791021*c_1100_1^18 + 126797008324420787597/106027427953169791021*c_1100_1^17 - 540902186276339030666/106027427953169791021*c_1100_1^16 + 1619995637573949771476/106027427953169791021*c_1100_1^15 - 1595470237204867110824/106027427953169791021*c_1100_1^14 + 3429742977867269783918/106027427953169791021*c_1100_1^13 - 7311525155292579383200/106027427953169791021*c_1100_1^12 + 6361838757222159105124/106027427953169791021*c_1100_1^11 - 8721765014989965585304/106027427953169791021*c_1100_1^10 + 10780377307996450583180/106027427953169791021*c_1100_1^9 - 3778224665943168336350/106027427953169791021*c_1100_1^8 + 6403549117444772610780/106027427953169791021*c_1100_1^7 + 8348966996826227557398/106027427953169791021*c_1100_1^6 - 10448567198417157614679/106027427953169791021*c_1100_1^5 + 12001715835828585880511/106027427953169791021*c_1100_1^4 - 8265350082907328220056/106027427953169791021*c_1100_1^3 + 2487754223052481508436/106027427953169791021*c_1100_1^2 - 128269636338522262053/106027427953169791021*c_1100_1 - 239056846554791065717/106027427953169791021, c_1100_1^20 - 4*c_1100_1^19 + 5*c_1100_1^18 - 18*c_1100_1^17 + 55*c_1100_1^16 - 64*c_1100_1^15 + 122*c_1100_1^14 - 258*c_1100_1^13 + 264*c_1100_1^12 - 334*c_1100_1^11 + 417*c_1100_1^10 - 220*c_1100_1^9 + 244*c_1100_1^8 + 198*c_1100_1^7 - 387*c_1100_1^6 + 472*c_1100_1^5 - 371*c_1100_1^4 + 161*c_1100_1^3 - 34*c_1100_1^2 - 3*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB