Magma V2.19-8 Wed Aug 21 2013 01:05:46 on localhost [Seed = 189600702] Type ? for help. Type -D to quit. Loading file "L14n277__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n277 geometric_solution 11.74011858 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 0321 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795164876878 0.752963278575 0 0 5 4 0132 0321 0132 0132 1 1 1 1 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 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529534878277 0.606665838356 5 0 6 6 0321 0132 2103 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 -1 1 0 -1 0 0 1 3 -3 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183804886182 1.191400770173 4 7 8 0 0132 0132 0132 0132 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497078232809 0.438657083727 3 7 1 8 0132 0321 0132 0321 1 1 1 1 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 2 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.396979036794 1.164013995535 2 9 10 1 0321 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 -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 -1 1 2 0 0 -2 -3 3 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490415423461 0.682305651124 2 11 2 7 2103 0132 0132 1230 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 -1 -2 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873518887563 0.819835086544 6 3 12 4 3012 0132 0132 0321 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 0 0 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873518887563 0.819835086544 10 4 9 3 1302 0321 0321 0132 1 1 1 1 0 0 0 0 1 0 -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 3 0 -3 0 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702664534642 0.940829069212 10 5 8 10 0321 0132 0321 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 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 3 0 -3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476568168141 0.501784554015 9 8 9 5 0321 2031 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 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 0 -2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.618238633404 1.253553689936 12 6 12 12 2310 0132 1302 0321 1 0 1 1 0 0 0 0 1 0 1 -2 0 -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 -1 0 0 1 0 -2 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580334522621 0.422358260893 11 11 11 7 2031 0321 3201 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 2 -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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580334522621 0.422358260893 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0011_8'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_1001_8'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1001_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_3'], '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_11']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_3'], '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' : 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' : negation(d['c_0011_11']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(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_12']), 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_7'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_3']), 's_2_9' : d['1']})} 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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_7, c_1001_0, c_1001_1, c_1001_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1299714588953133/25704551133976*c_1001_8^7 + 47754234203609409/25704551133976*c_1001_8^6 - 5726043046610727/2336777375816*c_1001_8^5 + 3938407138606180/3213068891747*c_1001_8^4 - 3017246556602331/12852275566988*c_1001_8^3 + 47001899629169/179752105832*c_1001_8^2 + 2173549324528077/12852275566988*c_1001_8 - 401931596986784/3213068891747, c_0011_0 - 1, c_0011_10 - 16775/727129*c_1001_8^7 + 615921/727129*c_1001_8^6 - 748378/727129*c_1001_8^5 - 1379349/727129*c_1001_8^4 + 1210425/727129*c_1001_8^3 + 5411/55933*c_1001_8^2 + 448237/727129*c_1001_8 - 269500/727129, c_0011_11 - 252725/727129*c_1001_8^7 + 9338804/727129*c_1001_8^6 - 14266701/727129*c_1001_8^5 + 11141471/727129*c_1001_8^4 - 6093274/727129*c_1001_8^3 + 232814/55933*c_1001_8^2 + 161106/727129*c_1001_8 - 817892/727129, c_0011_12 + 1, c_0011_3 + 40480/727129*c_1001_8^7 - 1643634/727129*c_1001_8^6 + 7785068/727129*c_1001_8^5 - 11490600/727129*c_1001_8^4 + 7616516/727129*c_1001_8^3 - 188742/55933*c_1001_8^2 + 963850/727129*c_1001_8 + 292730/727129, c_0011_5 + 212245/727129*c_1001_8^7 - 7695170/727129*c_1001_8^6 + 6481633/727129*c_1001_8^5 + 349129/727129*c_1001_8^4 - 1523242/727129*c_1001_8^3 - 44072/55933*c_1001_8^2 - 1124956/727129*c_1001_8 + 525162/727129, c_0011_8 + 104105/727129*c_1001_8^7 - 3774918/727129*c_1001_8^6 + 3237394/727129*c_1001_8^5 - 1295825/727129*c_1001_8^4 - 474629/727129*c_1001_8^3 + 51311/55933*c_1001_8^2 - 1151282/727129*c_1001_8 + 254009/727129, c_0101_0 + 565769/727129*c_1001_8^7 - 20869300/727129*c_1001_8^6 + 30402642/727129*c_1001_8^5 - 16950955/727129*c_1001_8^4 + 3521215/727129*c_1001_8^3 - 248689/55933*c_1001_8^2 - 91460/727129*c_1001_8 + 638019/727129, c_0101_7 + 80960/727129*c_1001_8^7 - 3287268/727129*c_1001_8^6 + 15570136/727129*c_1001_8^5 - 22981200/727129*c_1001_8^4 + 15233032/727129*c_1001_8^3 - 377484/55933*c_1001_8^2 + 1927700/727129*c_1001_8 + 585460/727129, c_1001_0 + 171765/727129*c_1001_8^7 - 6051536/727129*c_1001_8^6 - 1303435/727129*c_1001_8^5 + 11839729/727129*c_1001_8^4 - 9139758/727129*c_1001_8^3 + 144670/55933*c_1001_8^2 - 2088806/727129*c_1001_8 + 232432/727129, c_1001_1 - 102452/727129*c_1001_8^7 + 3805122/727129*c_1001_8^6 - 6445851/727129*c_1001_8^5 + 3727219/727129*c_1001_8^4 + 761723/727129*c_1001_8^3 - 39754/55933*c_1001_8^2 - 21660/727129*c_1001_8 - 501616/727129, c_1001_3 - 212245/727129*c_1001_8^7 + 7695170/727129*c_1001_8^6 - 6481633/727129*c_1001_8^5 - 349129/727129*c_1001_8^4 + 1523242/727129*c_1001_8^3 + 44072/55933*c_1001_8^2 + 1124956/727129*c_1001_8 - 525162/727129, c_1001_8^8 - 37*c_1001_8^7 + 58*c_1001_8^6 - 39*c_1001_8^5 + 13*c_1001_8^4 - 7*c_1001_8^3 - 2*c_1001_8^2 + 3*c_1001_8 - 1 ], 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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_7, c_1001_0, c_1001_1, c_1001_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1971700436603423734508/48488866058867932467*c_1001_8^8 + 13424557439497074747115/129303642823647819912*c_1001_8^7 + 40013491296365103363181/387910928470943459736*c_1001_8^6 + 8871800930569798131683/55415846924420494248*c_1001_8^5 + 7334169997681234530631/32325910705911954978*c_1001_8^4 + 191405624014391668723/2229373152131858964*c_1001_8^3 + 112052180923862598829/16865692542214933032*c_1001_8^2 + 22150905285051647566027/193955464235471729868*c_1001_8 - 65966434144430809559/96977732117735864934, c_0011_0 - 1, c_0011_10 + 125647174624/176633126311*c_1001_8^8 + 207579851181/176633126311*c_1001_8^7 + 7308116299/176633126311*c_1001_8^6 + 205970848142/176633126311*c_1001_8^5 + 326487936585/176633126311*c_1001_8^4 - 8409807319/6090797459*c_1001_8^3 - 146315885655/176633126311*c_1001_8^2 + 466525145353/176633126311*c_1001_8 - 179729732740/176633126311, c_0011_11 - 139484740640/176633126311*c_1001_8^8 - 348912742963/176633126311*c_1001_8^7 - 231414224116/176633126311*c_1001_8^6 - 403157498527/176633126311*c_1001_8^5 - 686723427797/176633126311*c_1001_8^4 + 994111234/6090797459*c_1001_8^3 + 131856472026/176633126311*c_1001_\ 8^2 - 417829462802/176633126311*c_1001_8 + 17260429572/176633126311, c_0011_12 + 1, c_0011_3 + 288378976000/529899378933*c_1001_8^8 + 425356076392/529899378933*c_1001_8^7 + 367582026146/529899378933*c_1001_8^6 + 877339516684/529899378933*c_1001_8^5 + 528907920400/529899378933*c_1001_8^4 - 3457572244/18272392377*c_1001_8^3 - 30595296862/176633126311*c_1001_8^2 + 403615548170/529899378933*c_1001_8 - 196905396846/176633126311, c_0011_5 - 706833197920/529899378933*c_1001_8^8 - 1472094305281/529899378933*c_1001_8^7 - 1061824698494/529899378933*c_1001_8^6 - 2086812012265/529899378933*c_1001_8^5 - 2589078203791/529899378933*c_1001_8^4 + 6439905946/18272392377*c_1001_8^3 + 162451768888/176633126311*c_1001_8^2 - 1657103936576/529899378933*c_1001_8 + 214165826418/176633126311, c_0011_8 - 101676683168/529899378933*c_1001_8^8 - 286221546503/529899378933*c_1001_8^7 - 386644143034/529899378933*c_1001_8^6 - 497225410934/529899378933*c_1001_8^5 - 790463424299/529899378933*c_1001_8^4 - 19412605249/18272392377*c_1001_8^3 + 5233329123/176633126311*c_1001_8^2 - 202375107178/529899378933*c_1001_8 + 2038230717/176633126311, c_0101_0 + 619312429856/529899378933*c_1001_8^8 + 1585375272347/529899378933*c_1001_8^7 + 1302786204820/529899378933*c_1001_8^6 + 1642477014518/529899378933*c_1001_8^5 + 2452359484025/529899378933*c_1001_8^4 + 6869561833/18272392377*c_1001_8^3 - 402724883955/176633126311*c_1001_8^2 + 1592572020148/529899378933*c_1001_8 - 111402586135/176633126311, c_0101_7 - 576757952000/529899378933*c_1001_8^8 - 850712152784/529899378933*c_1001_8^7 - 735164052292/529899378933*c_1001_8^6 - 1754679033368/529899378933*c_1001_8^5 - 1057815840800/529899378933*c_1001_8^4 + 6915144488/18272392377*c_1001_8^3 + 61190593724/176633126311*c_1001_8^2 - 807231096340/529899378933*c_1001_8 + 393810793692/176633126311, c_1001_0 + 995212173920/529899378933*c_1001_8^8 + 1897450381673/529899378933*c_1001_8^7 + 1429406724640/529899378933*c_1001_8^6 + 2964151528949/529899378933*c_1001_8^5 + 3117986124191/529899378933*c_1001_8^4 - 9897478190/18272392377*c_1001_8^3 - 193047065750/176633126311*c_1001_8^2 + 2060719484746/529899378933*c_1001_8 - 411071223264/176633126311, c_1001_1 + 67383051136/176633126311*c_1001_8^8 + 107872619220/176633126311*c_1001_8^7 + 11106170498/176633126311*c_1001_8^6 + 192763680399/176633126311*c_1001_8^5 + 234404263143/176633126311*c_1001_8^4 - 5950734455/6090797459*c_1001_8^3 + 56824986082/176633126311*c_1001_8^2 + 185940866276/176633126311*c_1001_8 - 235625845880/176633126311, c_1001_3 + 706833197920/529899378933*c_1001_8^8 + 1472094305281/529899378933*c_1001_8^7 + 1061824698494/529899378933*c_1001_8^6 + 2086812012265/529899378933*c_1001_8^5 + 2589078203791/529899378933*c_1001_8^4 - 6439905946/18272392377*c_1001_8^3 - 162451768888/176633126311*c_1001_8^2 + 1657103936576/529899378933*c_1001_8 - 214165826418/176633126311, c_1001_8^9 + 51/32*c_1001_8^8 + 11/32*c_1001_8^7 + 35/16*c_1001_8^6 + 81/32*c_1001_8^5 - 69/32*c_1001_8^4 - 11/32*c_1001_8^3 + 53/16*c_1001_8^2 - 85/32*c_1001_8 + 21/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB