Magma V2.19-8 Wed Aug 21 2013 01:02:27 on localhost [Seed = 3616656422] Type ? for help. Type -D to quit. Loading file "L14n15018__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15018 geometric_solution 11.73797363 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 0 -1 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 0 0 0 0 1 -1 0 0 1 -1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440433902192 0.578670776792 0 4 6 5 0132 0132 0132 0132 1 1 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 0 0 0 0 -6 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 0 0 0.257468552655 0.860861631707 7 0 6 0 0132 0132 3012 0213 0 1 1 1 0 0 1 -1 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 -1 1 0 0 6 -6 -1 0 0 1 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440433902192 0.578670776792 8 9 10 0 0132 0132 0132 0132 0 1 1 1 0 1 -2 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 0 -2 3 -1 -6 0 7 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324884284462 0.364182549350 9 1 11 12 0321 0132 0132 0132 1 1 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 0 0 0 0 -7 7 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 -0.202850419798 1.192820179905 8 11 1 11 2103 3012 0132 0132 1 1 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 6 -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 0 0 0 1.259093548107 1.610449741385 7 2 12 1 2310 1230 0132 0132 1 1 1 0 0 1 0 -1 0 0 0 0 1 -1 0 0 -1 -1 2 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 -7 7 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842288531410 0.730040105115 2 9 6 12 0132 0321 3201 2031 0 1 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 2 -2 0 0 0 7 -7 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960670559610 0.721110193169 3 10 5 11 0132 1023 2103 0321 1 1 1 1 0 1 0 -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 -7 0 7 6 0 0 -6 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111417926052 1.226481329687 4 3 10 7 0321 0132 0321 0321 0 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 2 0 -2 -1 0 0 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 -0.028909624312 0.981745189346 8 12 9 3 1023 2031 0321 0132 0 1 1 1 0 -2 0 2 -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 3 0 -3 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563379897292 0.927865252015 5 8 5 4 1230 0321 0132 0132 1 1 1 1 0 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 -7 0 7 0 0 0 0 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506231277215 0.326601070138 10 7 4 6 1302 1302 0132 0132 1 1 0 1 0 -1 1 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322051873992 0.587600688739 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_12'], 's_3_11' : 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_0011_5'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_6']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1001_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_0011_5'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], '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_12, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 11629539704413502777/7489264867956*c_1100_1^13 + 316960045388938561/416070270442*c_1100_1^12 - 19371725743909087027/3744632433978*c_1100_1^11 - 24189537736203197113/7489264867956*c_1100_1^10 + 65009783449740868571/7489264867956*c_1100_1^9 + 6038057423646326543/1248210811326*c_1100_1^8 - 28550175037214426755/2496421622652*c_1100_1^7 - 28078284036577812401/7489264867956*c_1100_1^6 + 139053265266710122525/7489264867956*c_1100_1^5 - 43387941496306365449/2496421622652*c_1100_1^4 + 10697705947170811735/1248210811326*c_1100_1^3 - 18600518473187833079/7489264867956*c_1100_1^2 + 3031443368594506739/7489264867956*c_1100_1 - 217269015250508161/7489264867956, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_11 + 2847744328505588/208035135221*c_1100_1^13 + 1092128057230486/208035135221*c_1100_1^12 - 9718066827327747/208035135221*c_1100_1^11 - 4962901822963320/208035135221*c_1100_1^10 + 16816997484960320/208035135221*c_1100_1^9 + 7390482873330792/208035135221*c_1100_1^8 - 22343927207730445/208035135221*c_1100_1^7 - 4977919370595691/208035135221*c_1100_1^6 + 35328861064905972/208035135221*c_1100_1^5 - 35198846078106773/208035135221*c_1100_1^4 + 18207329704564246/208035135221*c_1100_1^3 - 5525122897981379/208035135221*c_1100_1^2 + 946120626483723/208035135221*c_1100_1 - 71673977769741/208035135221, c_0011_12 + 23429833447129311/832140540884*c_1100_1^13 + 1613266953743951/208035135221*c_1100_1^12 - 20552270828722281/208035135221*c_1100_1^11 - 33247240489007609/832140540884*c_1100_1^10 + 146708532373287101/832140540884*c_1100_1^9 + 12461109452306538/208035135221*c_1100_1^8 - 196279690316775465/832140540884*c_1100_1^7 - 27089403148108755/832140540884*c_1100_1^6 + 302584128595532277/832140540884*c_1100_1^5 - 315351737314019125/832140540884*c_1100_1^4 + 41899585655125284/208035135221*c_1100_1^3 - 51868067297301403/832140540884*c_1100_1^2 + 9006133522626685/832140540884*c_1100_1 - 687818269675001/832140540884, c_0011_5 + 10634874518004647/416070270442*c_1100_1^13 + 2135539091063456/208035135221*c_1100_1^12 - 18120154535175980/208035135221*c_1100_1^11 - 19248263514604253/416070270442*c_1100_1^10 + 62491280279600419/416070270442*c_1100_1^9 + 14456775409849866/208035135221*c_1100_1^8 - 82888310028303157/416070270442*c_1100_1^7 - 20338357258625899/416070270442*c_1100_1^6 + 131497649032253277/416070270442*c_1100_1^5 - 128804383977562849/416070270442*c_1100_1^4 + 32805828894019102/208035135221*c_1100_1^3 - 19575590821954199/416070270442*c_1100_1^2 + 3283157504753105/416070270442*c_1100_1 - 242030498452787/416070270442, c_0011_6 - 22982066561507847/832140540884*c_1100_1^13 - 2747665030630447/208035135221*c_1100_1^12 + 19263707704672636/208035135221*c_1100_1^11 + 47219742770238113/832140540884*c_1100_1^10 - 130055430597129253/832140540884*c_1100_1^9 - 17823649703795006/208035135221*c_1100_1^8 + 171470909197105085/832140540884*c_1100_1^7 + 55280119082794919/832140540884*c_1100_1^6 - 277131285261845425/832140540884*c_1100_1^5 + 258770325401712521/832140540884*c_1100_1^4 - 31679982249755491/208035135221*c_1100_1^3 + 36291311270974655/832140540884*c_1100_1^2 - 5805218278530585/832140540884*c_1100_1 + 403466387658437/832140540884, c_0101_0 + 4641467151557429/208035135221*c_1100_1^13 + 1692621776777714/208035135221*c_1100_1^12 - 15962195627549591/208035135221*c_1100_1^11 - 7882168837446004/208035135221*c_1100_1^10 + 27815763942743639/208035135221*c_1100_1^9 + 11856607765649487/208035135221*c_1100_1^8 - 36982081108842064/208035135221*c_1100_1^7 - 7906260979639902/208035135221*c_1100_1^6 + 58150538584777778/208035135221*c_1100_1^5 - 57987868449460686/208035135221*c_1100_1^4 + 29921087130528927/208035135221*c_1100_1^3 - 9036115138256191/208035135221*c_1100_1^2 + 1535565144359758/208035135221*c_1100_1 - 115029686807314/208035135221, c_0101_1 + 1746224372020295/208035135221*c_1100_1^13 + 696242816629496/208035135221*c_1100_1^12 - 5938533069841313/208035135221*c_1100_1^11 - 3125102840702030/208035135221*c_1100_1^10 + 10234794991553542/208035135221*c_1100_1^9 + 4656611697329291/208035135221*c_1100_1^8 - 13586542366558845/208035135221*c_1100_1^7 - 3213870760483218/208035135221*c_1100_1^6 + 21558179798004472/208035135221*c_1100_1^5 - 21298295530989079/208035135221*c_1100_1^4 + 10943737466552014/208035135221*c_1100_1^3 - 3297848998279810/208035135221*c_1100_1^2 + 560731584960785/208035135221*c_1100_1 - 42146501839687/208035135221, c_0101_11 - 11902349987214733/416070270442*c_1100_1^13 - 2293100607194983/208035135221*c_1100_1^12 + 20330766801327251/208035135221*c_1100_1^11 + 20874003451239545/416070270442*c_1100_1^10 - 70392597083997563/416070270442*c_1100_1^9 - 15606496194940428/208035135221*c_1100_1^8 + 93515479600182577/416070270442*c_1100_1^7 + 21255350297980871/416070270442*c_1100_1^6 - 147854503708438111/416070270442*c_1100_1^5 + 146570283114305295/416070270442*c_1100_1^4 - 37676214211618492/208035135221*c_1100_1^3 + 22667561334586727/416070270442*c_1100_1^2 - 3831161544126289/416070270442*c_1100_1 + 284699849282369/416070270442, c_0101_2 + 1203919900843147/208035135221*c_1100_1^13 - 73087440220335/208035135221*c_1100_1^12 - 4540789639676774/208035135221*c_1100_1^11 - 449115145425225/208035135221*c_1100_1^10 + 8750650837870578/208035135221*c_1100_1^9 + 642509373159594/208035135221*c_1100_1^8 - 11917223673594617/208035135221*c_1100_1^7 + 1068868933470619/208035135221*c_1100_1^6 + 17259279104509137/208035135221*c_1100_1^5 - 20562955615264895/208035135221*c_1100_1^4 + 11853607495473132/208035135221*c_1100_1^3 - 3917323673794305/208035135221*c_1100_1^2 + 721575249675165/208035135221*c_1100_1 - 58293876870127/208035135221, c_0101_6 + 11579441898683661/832140540884*c_1100_1^13 + 2350388911258505/416070270442*c_1100_1^12 - 19651378633419113/416070270442*c_1100_1^11 - 20966528995113953/832140540884*c_1100_1^10 + 67597005298496931/832140540884*c_1100_1^9 + 15612931022303755/416070270442*c_1100_1^8 - 89703360418401081/832140540884*c_1100_1^7 - 21759314227105989/832140540884*c_1100_1^6 + 142585014204945237/832140540884*c_1100_1^5 - 140391983852780359/832140540884*c_1100_1^4 + 35981296166433585/416070270442*c_1100_1^3 - 21635827721254987/832140540884*c_1100_1^2 + 3666177230120559/832140540884*c_1100_1 - 274819419273277/832140540884, c_1001_0 - 1, c_1100_1^14 + 1/109*c_1100_1^13 - 388/109*c_1100_1^12 - 51/109*c_1100_1^11 + 716/109*c_1100_1^10 + 43/109*c_1100_1^9 - 963/109*c_1100_1^8 + 128/109*c_1100_1^7 + 1426/109*c_1100_1^6 - 1852/109*c_1100_1^5 + 1197/109*c_1100_1^4 - 469/109*c_1100_1^3 + 114/109*c_1100_1^2 - 16/109*c_1100_1 + 1/109 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB