Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 3987501550] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s406 geometric_solution 4.65955286 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277201171428 0.159100007385 2 0 3 0 0132 2310 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 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 0.009218684138 1.398363183675 1 3 4 3 0132 3201 0132 1230 0 0 0 0 0 0 -1 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 -1 1 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 0.317756983737 1.224341451994 2 4 2 1 3012 3201 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317756983737 1.224341451994 5 5 3 2 0132 3201 2310 0132 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 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 0.339991589970 0.803414570780 4 5 4 5 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.892468892057 0.591415147452 ==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' : d['1'], 's_2_5' : 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_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_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0011_4, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 825891221398393588/48595715067382539*c_0101_3^17 + 3973275191501090785/48595715067382539*c_0101_3^16 - 8133476242265518202/48595715067382539*c_0101_3^15 - 32185528915762338421/48595715067382539*c_0101_3^14 + 4148421319015188071/48595715067382539*c_0101_3^13 + 16307713088640591341/6942245009626077*c_0101_3^12 + 39246080436474820102/48595715067382539*c_0101_3^11 - 170964027654731575483/48595715067382539*c_0101_3^10 - 19908035321972579746/16198571689127513*c_0101_3^9 + 76297879604507092316/16198571689127513*c_0101_3^8 - 30007676559836740787/48595715067382539*c_0101_3^7 - 95964617091452474952/16198571689127513*c_0101_3^6 + 58507399169315756378/48595715067382539*c_0101_3^5 + 183071584059999944696/48595715067382539*c_0101_3^4 - 993502575881253835/48595715067382539*c_0101_3^3 - 44330041992564934387/48595715067382539*c_0101_3^2 - 1590320765740168456/48595715067382539*c_0101_3 + 5827323661355129243/48595715067382539, c_0011_0 - 1, c_0011_1 + 692638067468326/2314081669875359*c_0101_3^17 + 4079063620483064/2314081669875359*c_0101_3^16 - 2684225295499330/2314081669875359*c_0101_3^15 - 30944245521636651/2314081669875359*c_0101_3^14 - 26425769422125480/2314081669875359*c_0101_3^13 + 75140894272187621/2314081669875359*c_0101_3^12 + 105809307704861609/2314081669875359*c_0101_3^11 - 61918865168051994/2314081669875359*c_0101_3^10 - 103844164096187125/2314081669875359*c_0101_3^9 + 133233000564735018/2314081669875359*c_0101_3^8 + 98735586613145224/2314081669875359*c_0101_3^7 - 204336296922580523/2314081669875359*c_0101_3^6 - 110111954494735533/2314081669875359*c_0101_3^5 + 96285463820652427/2314081669875359*c_0101_3^4 + 30329623358012712/2314081669875359*c_0101_3^3 - 25576609194974400/2314081669875359*c_0101_3^2 - 3166457645204283/2314081669875359*c_0101_3 + 3771508106620710/2314081669875359, c_0011_3 - 1127897832164521/2314081669875359*c_0101_3^17 - 6331946409380268/2314081669875359*c_0101_3^16 + 5946656067511134/2314081669875359*c_0101_3^15 + 47882432442467046/2314081669875359*c_0101_3^14 + 31043317072912710/2314081669875359*c_0101_3^13 - 124550923091853640/2314081669875359*c_0101_3^12 - 135898012018478785/2314081669875359*c_0101_3^11 + 120766430718073723/2314081669875359*c_0101_3^10 + 124985969215808715/2314081669875359*c_0101_3^9 - 232880227200664811/2314081669875359*c_0101_3^8 - 92309906130070133/2314081669875359*c_0101_3^7 + 323366427772178217/2314081669875359*c_0101_3^6 + 94795557555528973/2314081669875359*c_0101_3^5 - 144555794273075822/2314081669875359*c_0101_3^4 - 16109202567727884/2314081669875359*c_0101_3^3 + 34931187570491585/2314081669875359*c_0101_3^2 + 1526775063159323/2314081669875359*c_0101_3 - 3153866817276566/2314081669875359, c_0011_4 - 1528177890871045/2314081669875359*c_0101_3^17 - 8298843054538851/2314081669875359*c_0101_3^16 + 9529224441782987/2314081669875359*c_0101_3^15 + 63149570103712536/2314081669875359*c_0101_3^14 + 32286094174823347/2314081669875359*c_0101_3^13 - 174730926175427910/2314081669875359*c_0101_3^12 - 161607912715555745/2314081669875359*c_0101_3^11 + 183475186188851176/2314081669875359*c_0101_3^10 + 158798300123685364/2314081669875359*c_0101_3^9 - 318371185540277984/2314081669875359*c_0101_3^8 - 86423461397177890/2314081669875359*c_0101_3^7 + 432617005784732794/2314081669875359*c_0101_3^6 + 95517194183387531/2314081669875359*c_0101_3^5 - 203919412181888251/2314081669875359*c_0101_3^4 - 38617350826854968/2314081669875359*c_0101_3^3 + 46915950079539424/2314081669875359*c_0101_3^2 + 5574347991190820/2314081669875359*c_0101_3 - 4812152502783651/2314081669875359, c_0101_0 + 54419371127564/2314081669875359*c_0101_3^17 + 619330979694234/2314081669875359*c_0101_3^16 + 1614767099884612/2314081669875359*c_0101_3^15 - 3148862519391311/2314081669875359*c_0101_3^14 - 15432203582991651/2314081669875359*c_0101_3^13 - 8976164942477546/2314081669875359*c_0101_3^12 + 36326456456856542/2314081669875359*c_0101_3^11 + 48269663266248886/2314081669875359*c_0101_3^10 - 18491100113901109/2314081669875359*c_0101_3^9 - 38589189720856104/2314081669875359*c_0101_3^8 + 47866913250201173/2314081669875359*c_0101_3^7 + 37591543628334401/2314081669875359*c_0101_3^6 - 78034197470161824/2314081669875359*c_0101_3^5 - 63946766365891249/2314081669875359*c_0101_3^4 + 24013498134466745/2314081669875359*c_0101_3^3 + 21974661231648104/2314081669875359*c_0101_3^2 - 4416852204654191/2314081669875359*c_0101_3 - 1762272894608319/2314081669875359, c_0101_3^18 + 6*c_0101_3^17 - 3*c_0101_3^16 - 44*c_0101_3^15 - 45*c_0101_3^14 + 96*c_0101_3^13 + 164*c_0101_3^12 - 47*c_0101_3^11 - 149*c_0101_3^10 + 144*c_0101_3^9 + 157*c_0101_3^8 - 229*c_0101_3^7 - 202*c_0101_3^6 + 66*c_0101_3^5 + 75*c_0101_3^4 - 9*c_0101_3^3 - 15*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB