Magma V2.19-8 Wed Aug 21 2013 00:47:21 on localhost [Seed = 4592737] Type ? for help. Type -D to quit. Loading file "K14n7807__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7807 geometric_solution 11.80006230 oriented_manifold CS_known -0.0000000000000008 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 1 -1 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 1 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883172548718 0.781482506328 0 5 7 6 0132 0132 0132 0132 0 0 0 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 -2 2 0 0 0 0 0 3 -2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198206177710 0.814511659086 8 0 3 9 0132 0132 1023 0132 0 0 0 0 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 1 -1 3 -3 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.933698476039 0.992912952518 10 5 2 0 0132 1230 1023 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 -1 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.868202056577 0.566196845960 11 12 0 12 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.206536585003 0.685992683941 9 1 3 11 1023 0132 3012 0321 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 2 -2 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405823122671 0.683224843085 10 11 1 8 2103 0321 0132 3012 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 3 0 -3 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 0.287581206958 1.003916978781 10 9 8 1 1302 3012 3012 0132 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 2 0 -2 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 -0.390010942093 0.521177174602 2 7 6 11 0132 1230 1230 1302 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 3 0 0 -3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214577098151 0.477982388551 7 5 2 12 1230 1023 0132 3120 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 -1 0 1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618793733390 0.477563687129 3 7 6 12 0132 2031 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.077315880866 0.782335633358 4 5 8 6 0132 0321 2031 0321 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 3 -3 -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 0.280830873607 0.793383951398 9 4 4 10 3120 0132 1230 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 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 -0.048474197582 0.888121945296 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0011_7'], '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_11'], '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_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_10']), '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_0101_11'], '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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_11'], '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' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : d['c_0011_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10']})} 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_6, c_0011_7, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 12069505529604439125391/132083017906938208*c_1001_8^13 - 44635048473784309501651/132083017906938208*c_1001_8^12 + 79323451533034432237295/66041508953469104*c_1001_8^11 - 179029281469850992056871/66041508953469104*c_1001_8^10 + 544457364206267234086833/132083017906938208*c_1001_8^9 - 81903755117671399497267/16510377238367276*c_1001_8^8 + 714652932237922176293/131295246428368*c_1001_8^7 - 39265835348177778151211/7769589288643424*c_1001_8^6 + 551594000674129157231659/132083017906938208*c_1001_8^5 - 409531250390650016614225/132083017906938208*c_1001_8^4 + 59764388896739021394319/33020754476734552*c_1001_8^3 - 107453505523641996824421/132083017906938208*c_1001_8^2 + 40449634752644196833693/132083017906938208*c_1001_8 + 424196013764430075155/66041508953469104, c_0011_0 - 1, c_0011_10 - 197608138259/265936106539*c_1001_8^13 + 1555464231161/531872213078*c_1001_8^12 - 10301472815841/1063744426156*c_1001_8^11 + 11594907835755/531872213078*c_1001_8^10 - 8038377522594/265936106539*c_1001_8^9 + 15948926330639/531872213078*c_1001_8^8 - 64795098173/2114800052*c_1001_8^7 + 29711126186765/1063744426156*c_1001_8^6 - 19553111319095/1063744426156*c_1001_8^5 + 5620729305545/531872213078*c_1001_8^4 - 5959891296771/1063744426156*c_1001_8^3 - 219724607021/531872213078*c_1001_8^2 + 279557460997/265936106539*c_1001_8 - 593405110681/1063744426156, c_0011_11 + 1087727127641/2127488852312*c_1001_8^13 - 1355694801111/531872213078*c_1001_8^12 + 17825316146455/2127488852312*c_1001_8^11 - 22138476198853/1063744426156*c_1001_8^10 + 69036352878661/2127488852312*c_1001_8^9 - 73745248909629/2127488852312*c_1001_8^8 + 17999515635/528700013*c_1001_8^7 - 72625151901827/2127488852312*c_1001_8^6 + 7020833947501/265936106539*c_1001_8^5 - 4485567892168/265936106539*c_1001_8^4 + 22259499172107/2127488852312*c_1001_8^3 - 8996686384789/2127488852312*c_1001_8^2 + 92982998627/531872213078*c_1001_8 + 650323072359/2127488852312, c_0011_6 + 956881581635/1063744426156*c_1001_8^13 - 741538451336/265936106539*c_1001_8^12 + 2539550553081/265936106539*c_1001_8^11 - 10307662334413/531872213078*c_1001_8^10 + 24968088085581/1063744426156*c_1001_8^9 - 26775434598529/1063744426156*c_1001_8^8 + 63013496715/2114800052*c_1001_8^7 - 13500248229389/531872213078*c_1001_8^6 + 18751479801087/1063744426156*c_1001_8^5 - 3969573459343/265936106539*c_1001_8^4 + 3845977117283/531872213078*c_1001_8^3 - 2089069843667/1063744426156*c_1001_8^2 + 574504974968/265936106539*c_1001_8 - 118713315011/531872213078, c_0011_7 + 484500690387/1063744426156*c_1001_8^13 - 3382395042035/1063744426156*c_1001_8^12 + 2993088998199/265936106539*c_1001_8^11 - 16683954617767/531872213078*c_1001_8^10 + 62277467061693/1063744426156*c_1001_8^9 - 19949469597054/265936106539*c_1001_8^8 + 40441628981/528700013*c_1001_8^7 - 81452987274201/1063744426156*c_1001_8^6 + 71192495070961/1063744426156*c_1001_8^5 - 50679323304497/1063744426156*c_1001_8^4 + 15219461352813/531872213078*c_1001_8^3 - 15837453836929/1063744426156*c_1001_8^2 + 3494146510273/1063744426156*c_1001_8 - 47230863140/265936106539, c_0101_0 + 1166542970341/2127488852312*c_1001_8^13 - 796659931185/265936106539*c_1001_8^12 + 21454580885123/2127488852312*c_1001_8^11 - 27661102966657/1063744426156*c_1001_8^10 + 92454559403129/2127488852312*c_1001_8^9 - 106149227445357/2127488852312*c_1001_8^8 + 52936212805/1057400026*c_1001_8^7 - 105929590261043/2127488852312*c_1001_8^6 + 10293235035515/265936106539*c_1001_8^5 - 13093996294277/531872213078*c_1001_8^4 + 34652521128871/2127488852312*c_1001_8^3 - 12996902468313/2127488852312*c_1001_8^2 + 71215436860/265936106539*c_1001_8 - 990062734061/2127488852312, c_0101_11 - 2354903688641/2127488852312*c_1001_8^13 + 739170369087/265936106539*c_1001_8^12 - 21475649942617/2127488852312*c_1001_8^11 + 18552952087121/1063744426156*c_1001_8^10 - 37630714332297/2127488852312*c_1001_8^9 + 36465440479173/2127488852312*c_1001_8^8 - 46881670335/2114800052*c_1001_8^7 + 32348496735469/2127488852312*c_1001_8^6 - 9692282469045/1063744426156*c_1001_8^5 + 4355189052607/531872213078*c_1001_8^4 - 7625070951297/2127488852312*c_1001_8^3 + 340877510245/2127488852312*c_1001_8^2 - 502818930195/265936106539*c_1001_8 - 124937578149/2127488852312, c_0101_12 + 3399568193441/2127488852312*c_1001_8^13 - 1560124450879/265936106539*c_1001_8^12 + 41795927891887/2127488852312*c_1001_8^11 - 45553653863265/1063744426156*c_1001_8^10 + 122197413818773/2127488852312*c_1001_8^9 - 121782900601713/2127488852312*c_1001_8^8 + 62859862521/1057400026*c_1001_8^7 - 118127816388087/2127488852312*c_1001_8^6 + 10012785096588/265936106539*c_1001_8^5 - 12694494040651/531872213078*c_1001_8^4 + 28410698517163/2127488852312*c_1001_8^3 - 4187409314429/2127488852312*c_1001_8^2 - 119965654021/265936106539*c_1001_8 - 609809550273/2127488852312, c_0101_2 - 3229534486577/2127488852312*c_1001_8^13 + 4335560698063/1063744426156*c_1001_8^12 - 29417727955593/2127488852312*c_1001_8^11 + 26291111085461/1063744426156*c_1001_8^10 - 47059036303753/2127488852312*c_1001_8^9 + 36825993075867/2127488852312*c_1001_8^8 - 12101830421/528700013*c_1001_8^7 + 30192410642675/2127488852312*c_1001_8^6 - 4051242118691/1063744426156*c_1001_8^5 + 3839308211919/1063744426156*c_1001_8^4 + 2638985454215/2127488852312*c_1001_8^3 - 7045039929271/2127488852312*c_1001_8^2 - 885026202209/1063744426156*c_1001_8 - 1551126101497/2127488852312, c_0101_3 + 412987994797/2127488852312*c_1001_8^13 + 293179073279/1063744426156*c_1001_8^12 - 1660825947477/2127488852312*c_1001_8^11 + 5648501243615/1063744426156*c_1001_8^10 - 30472829846615/2127488852312*c_1001_8^9 + 37202322509649/2127488852312*c_1001_8^8 - 32261038071/2114800052*c_1001_8^7 + 39995026251363/2127488852312*c_1001_8^6 - 8635007656337/531872213078*c_1001_8^5 + 8816228771103/1063744426156*c_1001_8^4 - 12911834354449/2127488852312*c_1001_8^3 + 6717399773275/2127488852312*c_1001_8^2 + 644560067707/1063744426156*c_1001_8 + 906764240839/2127488852312, c_0101_5 - 3223980929421/2127488852312*c_1001_8^13 + 1490170050687/265936106539*c_1001_8^12 - 40839635781157/2127488852312*c_1001_8^11 + 45071662690711/1063744426156*c_1001_8^10 - 127524531112121/2127488852312*c_1001_8^9 + 136953240535853/2127488852312*c_1001_8^8 - 144390305677/2114800052*c_1001_8^7 + 137229700325577/2127488852312*c_1001_8^6 - 52474257618871/1063744426156*c_1001_8^5 + 17758523098875/531872213078*c_1001_8^4 - 40575714395069/2127488852312*c_1001_8^3 + 13728237914605/2127488852312*c_1001_8^2 - 983041543449/531872213078*c_1001_8 + 302510101251/2127488852312, c_0101_8 + 930710245605/2127488852312*c_1001_8^13 - 1394977876565/531872213078*c_1001_8^12 + 19015543270509/2127488852312*c_1001_8^11 - 25258112479493/1063744426156*c_1001_8^10 + 88056718934405/2127488852312*c_1001_8^9 - 104631258570077/2127488852312*c_1001_8^8 + 105661550889/2114800052*c_1001_8^7 - 106944942496837/2127488852312*c_1001_8^6 + 44752072101141/1063744426156*c_1001_8^5 - 7789535805314/265936106539*c_1001_8^4 + 39600524113557/2127488852312*c_1001_8^3 - 16896971307993/2127488852312*c_1001_8^2 + 1198483335839/531872213078*c_1001_8 - 1161259836543/2127488852312, c_1001_8^14 - 25/7*c_1001_8^13 + 89/7*c_1001_8^12 - 197/7*c_1001_8^11 + 293/7*c_1001_8^10 - 348/7*c_1001_8^9 + 381/7*c_1001_8^8 - 349/7*c_1001_8^7 + 41*c_1001_8^6 - 212/7*c_1001_8^5 + 121/7*c_1001_8^4 - 54/7*c_1001_8^3 + 3*c_1001_8^2 + 1/7*c_1001_8 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10.960 Total time: 11.169 seconds, Total memory usage: 121.84MB