Magma V2.19-8 Tue Aug 20 2013 23:57:08 on localhost [Seed = 3566386238] Type ? for help. Type -D to quit. Loading file "L14n29777__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n29777 geometric_solution 11.66985311 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 1 1 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 5 1 -6 -1 0 0 1 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434489107987 0.817485478977 0 0 5 4 0132 1230 0132 0132 1 1 0 1 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 1 0 -1 0 2 -1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572330161634 0.827343209343 4 0 6 4 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 -5 5 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 0.452633137623 1.148209839796 7 8 0 9 0132 0132 0132 0132 1 1 1 1 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 -6 6 0 6 0 -1 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583234482797 1.394946374748 2 2 1 7 0132 1302 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702852850480 0.753783257536 9 10 8 1 0321 0132 3201 0132 1 1 1 1 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 -1 1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350565060587 1.180314579082 10 10 11 2 0132 2310 0132 0132 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 5 0 -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 0 0 0 -0.060938186195 0.702602720227 3 4 11 9 0132 2310 0321 0321 1 1 1 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 0 0 0 0 0 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 0 0 0 0 0 0 0 0.378798322997 0.838671290864 5 3 11 11 2310 0132 0213 2310 1 1 1 1 0 -1 0 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 6 0 -6 0 0 6 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352683366473 0.438818975924 5 7 3 10 0321 0321 0132 3012 1 1 1 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 0 0 0 0 0 0 0 0 0 0 -5 0 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 0.582137171141 0.834733319620 6 5 9 6 0132 0132 1230 3201 1 1 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 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472641372622 1.015920041161 8 8 7 6 3201 0213 0321 0132 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 6 -6 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317560480374 0.756859756139 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_7']), 'c_1010_3' : d['c_1001_11'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_6']), '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_11']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_10']})} 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_9, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_1001_1, c_1001_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/704*c_1001_7 - 1/132, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1, c_0011_3 + c_1001_7 - 7, c_0011_9 + 1, c_0101_0 - c_1001_7 + 5, c_0101_10 + 3, c_0101_11 - c_1001_7 + 4, c_0101_6 - c_1001_7 + 5, c_1001_1 + c_1001_7 - 4, c_1001_11 - 2*c_1001_7 + 8, c_1001_7^2 - 9*c_1001_7 + 22 ], 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_9, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_1001_1, c_1001_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 332354734716934121421452445/18176522300152497425130272*c_1001_7^10 - 864998880518117644608811527/9088261150076248712565136*c_1001_7^9 + 4012313719241904744403077489/9088261150076248712565136*c_1001_7^8 - 13211618507732993616454799307/18176522300152497425130272*c_1001_7^7 + 489770740237417478766037673/699097011544326824043472*c_1001_7^6 - 9550889660884964386545034587/18176522300152497425130272*c_1001_7^5 + 5329131425184206423358812651/18176522300152497425130272*c_1001_7^4 - 1418411557676184495748480059/18176522300152497425130272*c_1001_7^3 - 401454343322332272630995041/9088261150076248712565136*c_1001_7^2 + 330636146511964163113005775/4544130575038124356282568*c_1001_7 - 764853121116686169445837221/18176522300152497425130272, c_0011_0 - 1, c_0011_10 + 22300886505374930169/56966836012412550851*c_1001_7^10 + 131345956659558595158/56966836012412550851*c_1001_7^9 - 441360512800157387610/56966836012412550851*c_1001_7^8 + 614682128268876815919/56966836012412550851*c_1001_7^7 - 654838831441242659226/56966836012412550851*c_1001_7^6 + 582768839971159744687/56966836012412550851*c_1001_7^5 - 362388672248633087801/56966836012412550851*c_1001_7^4 + 191063995013730046804/56966836012412550851*c_1001_7^3 - 137498009141025818778/56966836012412550851*c_1001_7^2 + 57262110766029676074/56966836012412550851*c_1001_7 - 29366566134932642211/56966836012412550851, c_0011_11 + 14877132234850824066/56966836012412550851*c_1001_7^10 + 82012089826786265937/56966836012412550851*c_1001_7^9 - 341121359695884890733/56966836012412550851*c_1001_7^8 + 429543620058585189879/56966836012412550851*c_1001_7^7 - 388667915068203582375/56966836012412550851*c_1001_7^6 + 390097903671677565851/56966836012412550851*c_1001_7^5 - 286020082561328768309/56966836012412550851*c_1001_7^4 + 97091587750928616710/56966836012412550851*c_1001_7^3 - 3349959948845693660/56966836012412550851*c_1001_7^2 - 15866821908387400954/56966836012412550851*c_1001_7 - 17574234122316542271/56966836012412550851, c_0011_3 + 21235682723744127924/56966836012412550851*c_1001_7^10 + 138090727447773997608/56966836012412550851*c_1001_7^9 - 355058131353336454644/56966836012412550851*c_1001_7^8 + 254113671216088301826/56966836012412550851*c_1001_7^7 - 62683681924813485655/56966836012412550851*c_1001_7^6 + 55059398128359054098/56966836012412550851*c_1001_7^5 + 15048955504259778220/56966836012412550851*c_1001_7^4 - 15685319016413058981/56966836012412550851*c_1001_7^3 + 10590869541333339367/56966836012412550851*c_1001_7^2 + 15739549040055585758/56966836012412550851*c_1001_7 - 57741445089953049413/56966836012412550851, c_0011_9 + 1, c_0101_0 + 19074419771205941379/113933672024825101702*c_1001_7^10 + 45893583499798336221/113933672024825101702*c_1001_7^9 - 742094701024135779729/113933672024825101702*c_1001_7^8 + 1002415505431020789243/56966836012412550851*c_1001_7^7 - 1458775139184779490916/56966836012412550851*c_1001_7^6 + 2834728910794270242413/113933672024825101702*c_1001_7^5 - 1125149767180359933941/56966836012412550851*c_1001_7^4 + 1430556212237505302285/113933672024825101702*c_1001_7^3 - 654034040174494989355/113933672024825101702*c_1001_7^2 + 127343675336174889349/113933672024825101702*c_1001_7 + 18426693058562413754/56966836012412550851, c_0101_10 + 7947792168372603729/56966836012412550851*c_1001_7^10 + 39345226945715528658/56966836012412550851*c_1001_7^9 - 210603656634282107352/56966836012412550851*c_1001_7^8 + 308076777369345394614/56966836012412550851*c_1001_7^7 - 279479103877542843517/56966836012412550851*c_1001_7^6 + 214577124842829550792/56966836012412550851*c_1001_7^5 - 144881316299952032844/56966836012412550851*c_1001_7^4 + 112963427094985360581/56966836012412550851*c_1001_7^3 - 68162775699274438396/56966836012412550851*c_1001_7^2 + 66667299624672774345/56966836012412550851*c_1001_7 - 41163032823160502557/56966836012412550851, c_0101_11 + 44375290677676753803/56966836012412550851*c_1001_7^10 + 262870803035926247637/56966836012412550851*c_1001_7^9 - 885834361342034129871/56966836012412550851*c_1001_7^8 + 1093778640429380282682/56966836012412550851*c_1001_7^7 - 944604823408481508927/56966836012412550851*c_1001_7^6 + 716603364082120712532/56966836012412550851*c_1001_7^5 - 344763121910746399559/56966836012412550851*c_1001_7^4 + 151351619794393997327/56966836012412550851*c_1001_7^3 - 63464858659627878126/56966836012412550851*c_1001_7^2 - 72010984086354342133/56966836012412550851*c_1001_7 - 38638610740405046632/56966836012412550851, c_0101_6 - 32114557536803219736/56966836012412550851*c_1001_7^10 - 176883332439666128940/56966836012412550851*c_1001_7^9 + 718724703279744583002/56966836012412550851*c_1001_7^8 - 1075150925001111452697/56966836012412550851*c_1001_7^7 + 987085190535981551310/56966836012412550851*c_1001_7^6 - 715424592715148447185/56966836012412550851*c_1001_7^5 + 461577608771437918794/56966836012412550851*c_1001_7^4 - 238435173666050747039/56966836012412550851*c_1001_7^3 + 81086169716723997964/56966836012412550851*c_1001_7^2 + 8732753769516618082/56966836012412550851*c_1001_7 + 27860221112102812999/56966836012412550851, c_1001_1 - 7947792168372603729/56966836012412550851*c_1001_7^10 - 39345226945715528658/56966836012412550851*c_1001_7^9 + 210603656634282107352/56966836012412550851*c_1001_7^8 - 308076777369345394614/56966836012412550851*c_1001_7^7 + 279479103877542843517/56966836012412550851*c_1001_7^6 - 214577124842829550792/56966836012412550851*c_1001_7^5 + 144881316299952032844/56966836012412550851*c_1001_7^4 - 112963427094985360581/56966836012412550851*c_1001_7^3 + 68162775699274438396/56966836012412550851*c_1001_7^2 - 9700463612260223494/56966836012412550851*c_1001_7 - 15803803189252048294/56966836012412550851, c_1001_11 - 23075872724107641744/56966836012412550851*c_1001_7^10 - 143318763008229337281/56966836012412550851*c_1001_7^9 + 420297256088038519380/56966836012412550851*c_1001_7^8 - 435322740574549417698/56966836012412550851*c_1001_7^7 + 396420053805136946757/56966836012412550851*c_1001_7^6 - 430524804369095682693/56966836012412550851*c_1001_7^5 + 272359337573878484208/56966836012412550851*c_1001_7^4 - 166373122220392968934/56966836012412550851*c_1001_7^3 + 70169976864813694222/56966836012412550851*c_1001_7^2 + 26797390511694099029/56966836012412550851*c_1001_7 + 64415617501265563454/56966836012412550851, c_1001_7^11 + 14/3*c_1001_7^10 - 244/9*c_1001_7^9 + 1387/27*c_1001_7^8 - 4768/81*c_1001_7^7 + 4391/81*c_1001_7^6 - 3407/81*c_1001_7^5 + 2089/81*c_1001_7^4 - 346/27*c_1001_7^3 + 314/81*c_1001_7^2 - 109/81*c_1001_7 + 118/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB