Magma V2.19-8 Wed Aug 21 2013 00:05:07 on localhost [Seed = 3920594836] Type ? for help. Type -D to quit. Loading file "L9a26__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a26 geometric_solution 10.75904664 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 0 0 -1 1 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 1.111489427829 1.226375040997 0 2 0 4 0132 2103 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 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 0.594258740486 0.447679430242 4 1 5 0 0132 2103 0132 0132 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517230687343 0.778695610755 6 7 0 8 0132 0132 0132 0132 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 1 -1 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 0.198214530254 1.076125369256 2 5 1 8 0132 3120 0132 2031 1 1 0 1 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 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 1.158765373434 0.626508710212 9 4 8 2 0132 3120 0132 0132 1 1 0 1 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 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 -0.047275945605 0.599866330785 3 10 11 7 0132 0132 0132 1023 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 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 -0.571542297832 0.995908717900 10 3 9 6 0132 0132 1023 1023 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 -1 1 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 0.083819563020 1.163322284436 9 4 3 5 1023 1302 0132 0132 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 0 0 0 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 0.141528407118 0.971345888605 5 8 7 11 0132 1023 1023 0132 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 0 0 0 0 0 0 -1 1 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198214530254 1.076125369256 7 6 11 11 0132 0132 3012 3120 1 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 0 0 0 0 0 0 0 0 0 0 -1 -3 4 0 0 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179987429202 0.658218674598 10 10 9 6 3120 1230 0132 0132 1 1 0 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 -1 0 1 1 0 -1 0 1 -1 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179987429202 0.658218674598 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_1100_11']), 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_11'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1100_0, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 6977346992785/551695285689*c_1100_11^10 - 1342803839656/10409345013*c_1100_11^9 - 465016644781828/551695285689*c_1100_11^8 - 2161501511562223/551695285689*c_1100_11^7 - 50542132534675/4970227799*c_1100_11^6 - 7506408213074546/551695285689*c_1100_11^5 - 1596348189296535/183898428563*c_1100_11^4 - 1254068173692587/551695285689*c_1100_11^3 - 990677015873/10409345013*c_1100_11^2 + 27926889610855/183898428563*c_1100_11 + 13758340972339/551695285689, c_0011_0 - 1, c_0011_10 - 52703478871/183898428563*c_1100_11^10 - 9982975252/3469781671*c_1100_11^9 - 3432765135320/183898428563*c_1100_11^8 - 15819096298342/183898428563*c_1100_11^7 - 1083561388867/4970227799*c_1100_11^6 - 51300544105536/183898428563*c_1100_11^5 - 29533378211248/183898428563*c_1100_11^4 - 4456052135923/183898428563*c_1100_11^3 + 44703805885/3469781671*c_1100_11^2 + 658146548307/183898428563*c_1100_11 - 90510203542/183898428563, c_0011_11 - 705060563/10409345013*c_1100_11^10 - 6215240098/10409345013*c_1100_11^9 - 38035316972/10409345013*c_1100_11^8 - 162702314633/10409345013*c_1100_11^7 - 2910740086/93777883*c_1100_11^6 - 232861877650/10409345013*c_1100_1\ 1^5 - 4352125267/3469781671*c_1100_11^4 - 33758276707/10409345013*c_1100_11^3 - 46412125628/10409345013*c_1100_11^2 - 9632204237/3469781671*c_1100_11 + 1534528562/10409345013, c_0011_5 - 174287425274/551695285689*c_1100_11^10 - 32347880870/10409345013*c_1100_11^9 - 11054643525458/551695285689*c_1100_11^8 - 50533367079254/551695285689*c_1100_11^7 - 1128234958748/4970227799*c_1100_11^6 - 157029235995577/551695285689*c_1100_11^5 - 31471737105665/183898428563*c_1100_11^4 - 25747160961130/551695285689*c_1100_11^3 - 13113415519/10409345013*c_1100_11^2 - 148365072468/183898428563*c_1100_11 - 104776302760/551695285689, c_0101_0 - 1, c_0101_1 + 174287425274/551695285689*c_1100_11^10 + 32347880870/10409345013*c_1100_11^9 + 11054643525458/551695285689*c_1100_11^8 + 50533367079254/551695285689*c_1100_11^7 + 1128234958748/4970227799*c_1100_11^6 + 157029235995577/551695285689*c_1100_11^5 + 31471737105665/183898428563*c_1100_11^4 + 25747160961130/551695285689*c_1100_11^3 + 13113415519/10409345013*c_1100_11^2 + 148365072468/183898428563*c_1100_11 + 104776302760/551695285689, c_0101_11 - 14906013101/551695285689*c_1100_11^10 - 1976027342/10409345013*c_1100_11^9 - 547777643693/551695285689*c_1100_11^8 - 1801493019350/551695285689*c_1100_11^7 + 5065824302/4970227799*c_1100_11^6 + 12748504142540/551695285689*c_1100_11^5 + 6802377359709/183898428563*c_1100_11^4 + 9706118925944/551695285689*c_1100_11^3 + 15028326776/10409345013*c_1100_11^2 - 147696756348/183898428563*c_1100_11 - 31775274457/551695285689, c_0101_2 + 53127137391/183898428563*c_1100_11^10 + 10123951176/3469781671*c_1100_11^9 + 3502288627255/183898428563*c_1100_11^8 + 16243958019968/183898428563*c_1100_11^7 + 1133300783050/4970227799*c_1100_11^6 + 56592580046039/183898428563*c_1100_11^5 + 38274114465374/183898428563*c_1100_11^4 + 11817759962358/183898428563*c_1100_11^3 + 9380580765/3469781671*c_1100_11^2 + 668316120/183898428563*c_1100_11 + 24333676101/183898428563, c_0101_6 + 120767201419/551695285689*c_1100_11^10 + 22154410483/10409345013*c_1100_11^9 + 7531087554133/551695285689*c_1100_11^8 + 34209354451945/551695285689*c_1100_11^7 + 749699550067/4970227799*c_1100_11^6 + 100913434255223/551695285689*c_1100_11^5 + 19339868264232/183898428563*c_1100_11^4 + 16351980582989/551695285689*c_1100_11^3 + 38732200631/10409345013*c_1100_11^2 + 491461271150/183898428563*c_1100_11 - 43156489729/551695285689, c_1001_0 + 88819633252/551695285689*c_1100_11^10 + 16207410883/10409345013*c_1100_11^9 + 5496613201012/551695285689*c_1100_11^8 + 24893851165924/551695285689*c_1100_11^7 + 540812100996/4970227799*c_1100_11^6 + 71592542493587/551695285689*c_1100_11^5 + 13316504271418/183898428563*c_1100_11^4 + 10925266703768/551695285689*c_1100_11^3 + 12199170491/10409345013*c_1100_11^2 + 131369527935/183898428563*c_1100_11 + 339887481353/551695285689, c_1100_0 + 85467792022/551695285689*c_1100_11^10 + 16140469987/10409345013*c_1100_11^9 + 5558030324446/551695285689*c_1100_11^8 + 25639515913330/551695285689*c_1100_11^7 + 587422857752/4970227799*c_1100_11^6 + 85436693501990/551695285689*c_1100_11^5 + 18155232834247/183898428563*c_1100_11^4 + 14821894257362/551695285689*c_1100_11^3 + 914245028/10409345013*c_1100_11^2 + 16995544533/183898428563*c_1100_11 + 316584107096/551695285689, c_1100_11^11 + 10*c_1100_11^10 + 65*c_1100_11^9 + 300*c_1100_11^8 + 764*c_1100_11^7 + 1010*c_1100_11^6 + 670*c_1100_11^5 + 212*c_1100_11^4 + 8*c_1100_11^3 - 7*c_1100_11^2 - c_1100_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB