Magma V2.19-8 Wed Aug 21 2013 01:04:35 on localhost [Seed = 610417756] Type ? for help. Type -D to quit. Loading file "L14n24408__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24408 geometric_solution 12.23700233 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -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 1 -1 -1 0 -1 2 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293251883900 0.826932619923 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 1 -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 1 -2 1 1 0 0 -1 0 1 0 -1 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700895080032 0.832225276375 8 0 7 9 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395630301599 0.656116076587 5 8 9 0 3120 0321 0132 0132 1 0 1 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 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 0.292236317930 0.663140005921 10 11 0 7 0132 0132 0132 3012 1 0 0 1 0 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 -1 1 0 0 0 -2 2 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951843395175 1.357345614052 11 1 10 3 2310 0132 3120 3120 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 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700895080032 0.832225276375 11 9 1 12 0321 2103 0132 0132 0 0 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 -1 1 0 0 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 0.752392523956 0.704955051285 10 2 4 1 3120 1230 1230 0132 0 0 1 1 0 0 1 -1 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 0 -2 2 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810680133526 0.638963666034 2 11 12 3 0132 2310 3012 0321 1 0 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 -4 5 -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 0.708516188399 1.244628794034 12 6 2 3 3012 2103 0132 0132 1 0 0 1 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 0 0 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 0 0 0 1.443525523747 1.262746841634 4 12 5 7 0132 2031 3120 3120 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239138666390 0.599697373799 6 4 5 8 0321 0132 3201 3201 1 1 1 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 0 0 0 1 -1 0 1 0 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293251883900 0.826932619923 10 8 6 9 1302 1230 0132 1230 0 0 1 1 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 0 -1 1 -1 0 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119213501174 0.670016524790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0101_0']), '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_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_1001_7']), 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_0011_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'], 'c_1100_12' : d['c_0101_10'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], '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_0101_10'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], '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_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 100163583482719688192/511302663924347475*c_1001_7^9 + 30224046237014594048/170434221308115825*c_1001_7^8 - 9427607972013471488/170434221308115825*c_1001_7^7 - 598184836381925632/2121587817113475*c_1001_7^6 - 224920206097309705088/511302663924347475*c_1001_7^5 - 358604913038212562176/170434221308115825*c_1001_7^4 + 13239363624332032064/4778529569386425*c_1001_7^3 - 759749389755946387328/170434221308115825*c_1001_7^2 + 1235482615829502898048/511302663924347475*c_1001_7 - 46878664310620680224/102260532784869495, c_0011_0 - 1, c_0011_10 - 89513152/60568245*c_1001_7^9 - 23684416/6729805*c_1001_7^8 - 116501392/20189415*c_1001_7^7 - 486767848/60568245*c_1001_7^6 - 604685552/60568245*c_1001_7^5 + 2688232/6729805*c_1001_7^4 - 1244417048/60568245*c_1001_7^3 + 233647048/20189415*c_1001_7^2 - 667133963/60568245*c_1001_7 + 32932846/12113649, c_0011_12 + 168452416/60568245*c_1001_7^9 + 143974384/20189415*c_1001_7^8 + 249385616/20189415*c_1001_7^7 + 1075028104/60568245*c_1001_7^6 + 1338636896/60568245*c_1001_7^5 + 62159212/20189415*c_1001_7^4 + 2348485784/60568245*c_1001_7^3 - 351064684/20189415*c_1001_7^2 + 1075605674/60568245*c_1001_7 - 41854591/12113649, c_0011_3 + 9684224/6729805*c_1001_7^9 + 21287648/6729805*c_1001_7^8 + 31507352/6729805*c_1001_7^7 + 39774696/6729805*c_1001_7^6 + 44888764/6729805*c_1001_7^5 - 27623816/6729805*c_1001_7^4 + 120048156/6729805*c_1001_7^3 - 100088668/6729805*c_1001_7^2 + 63710311/6729805*c_1001_7 - 3863526/1345961, c_0011_6 - 114010016/60568245*c_1001_7^9 - 73867184/20189415*c_1001_7^8 - 111735136/20189415*c_1001_7^7 - 466561904/60568245*c_1001_7^6 - 582905056/60568245*c_1001_7^5 + 79300348/20189415*c_1001_7^4 - 1714903564/60568245*c_1001_7^3 + 528568844/20189415*c_1001_7^2 - 1241428894/60568245*c_1001_7 + 95611829/12113649, c_0011_9 - 57224192/60568245*c_1001_7^9 - 42702928/20189415*c_1001_7^8 - 22932344/6729805*c_1001_7^7 - 304810328/60568245*c_1001_7^6 - 403948852/60568245*c_1001_7^5 - 5570704/20189415*c_1001_7^4 - 906805108/60568245*c_1001_7^3 + 159818018/20189415*c_1001_7^2 - 468357253/60568245*c_1001_7 + 10578347/12113649, c_0101_0 - 1, c_0101_1 - 83464976/60568245*c_1001_7^9 - 20369088/6729805*c_1001_7^8 - 89947736/20189415*c_1001_7^7 - 353047064/60568245*c_1001_7^6 - 430280176/60568245*c_1001_7^5 + 18653656/6729805*c_1001_7^4 - 1098901864/60568245*c_1001_7^3 + 265970444/20189415*c_1001_7^2 - 537158179/60568245*c_1001_7 + 26624294/12113649, c_0101_10 + 10623136/60568245*c_1001_7^9 + 2846128/6729805*c_1001_7^8 + 15345616/20189415*c_1001_7^7 + 63885844/60568245*c_1001_7^6 + 80375696/60568245*c_1001_7^5 - 369996/6729805*c_1001_7^4 + 137100404/60568245*c_1001_7^3 - 33364909/20189415*c_1001_7^2 + 76327049/60568245*c_1001_7 - 17073635/24227298, c_0101_5 + 6275824/4037883*c_1001_7^9 + 16010384/4037883*c_1001_7^8 + 27404360/4037883*c_1001_7^7 + 12940248/1345961*c_1001_7^6 + 16006608/1345961*c_1001_7^5 + 4021532/4037883*c_1001_7^4 + 82183624/4037883*c_1001_7^3 - 14431390/1345961*c_1001_7^2 + 36819101/4037883*c_1001_7 - 10600159/4037883, c_0101_8 - 6826688/12113649*c_1001_7^9 - 1799216/1345961*c_1001_7^8 - 8581016/4037883*c_1001_7^7 - 35899616/12113649*c_1001_7^6 - 44393416/12113649*c_1001_7^5 + 194824/1345961*c_1001_7^4 - 97021624/12113649*c_1001_7^3 + 12653840/4037883*c_1001_7^2 - 45391162/12113649*c_1001_7 + 1872781/12113649, c_1001_12 + 13108288/12113649*c_1001_7^9 + 10891456/4037883*c_1001_7^8 + 18778352/4037883*c_1001_7^7 + 81055768/12113649*c_1001_7^6 + 98655872/12113649*c_1001_7^5 + 1366516/4037883*c_1001_7^4 + 175334792/12113649*c_1001_7^3 - 35387476/4037883*c_1001_7^2 + 90062534/12113649*c_1001_7 - 29707067/12113649, c_1001_7^10 + 2*c_1001_7^9 + 3*c_1001_7^8 + 4*c_1001_7^7 + 19/4*c_1001_7^6 - 11/4*c_1001_7^5 + 14*c_1001_7^4 - 53/4*c_1001_7^3 + 41/4*c_1001_7^2 - 35/8*c_1001_7 + 25/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.530 seconds, Total memory usage: 32.09MB