Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 2050746182] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3541 geometric_solution 6.92263444 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369847647977 0.645108312660 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.742733607662 1.013645922806 1 5 0 4 1230 0132 0132 2310 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 -1 1 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 0.742733607662 1.013645922806 1 5 6 5 0132 3012 0132 1302 0 0 0 0 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 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 0.481504121933 0.641776690718 2 6 6 1 3201 2103 0321 0132 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462905572499 0.922557987693 3 2 3 6 1230 0132 2031 2310 0 0 0 0 0 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 1 -1 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 0.481504121933 0.641776690718 5 4 4 3 3201 2103 0321 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684589411430 0.744178729750 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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_0_6' : d['1'], 's_0_4' : negation(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_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 76/5*c_0101_1 + 199/5, c_0011_0 - 1, c_0011_1 + c_0011_2 - c_0101_1 + 1, c_0011_2^2 - c_0011_2*c_0101_1 + c_0011_2 + 4*c_0101_1 - 1, c_0011_4 - c_0101_1 + 1, c_0011_6 + c_0101_1, c_0101_0 - c_0101_1 + 1, c_0101_1^2 - 3*c_0101_1 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 429831232433042017307/1304934493028772940032*c_0101_1^11 - 2358003792509314961033/1304934493028772940032*c_0101_1^10 - 90503856042350177663323/2609868986057545880064*c_0101_1^9 - 428426223197666399182637/2609868986057545880064*c_0101_1^8 - 914739501356535014389325/2609868986057545880064*c_0101_1^7 - 1001612867462513644194467/2609868986057545880064*c_0101_1^6 - 282680308707530917554535/869956328685848626688*c_0101_1^5 - 306764833388023629500051/652467246514386470016*c_0101_1^4 - 156799758504000712053901/652467246514386470016*c_0101_1^3 + 509073189969443278448573/2609868986057545880064*c_0101_1^2 + 15030009086004516418745/326233623257193235008*c_0101_1 - 15499992702605135176957/163116811628596617504, c_0011_0 - 1, c_0011_1 + 3936760437678698675/434978164342924313344*c_0101_1^11 - 11720404292383106515/217489082171462156672*c_0101_1^10 - 806477144274855254599/869956328685848626688*c_0101_1^9 - 887475041233355210129/217489082171462156672*c_0101_1^8 - 6758833413866253419989/869956328685848626688*c_0101_1^7 - 763598874166820895547/108744541085731078336*c_0101_1^6 - 4723752002591467137769/869956328685848626688*c_0101_1^5 - 8040461161568603069677/869956328685848626688*c_0101_1^4 - 763455069833840154317/869956328685848626688*c_0101_1^3 + 1388660263265745846507/217489082171462156672*c_0101_1^2 + 12027634458391171479/54372270542865539168*c_0101_1 - 17656712614133501025/13593067635716384792, c_0011_2 + 3936760437678698675/434978164342924313344*c_0101_1^11 - 11720404292383106515/217489082171462156672*c_0101_1^10 - 806477144274855254599/869956328685848626688*c_0101_1^9 - 887475041233355210129/217489082171462156672*c_0101_1^8 - 6758833413866253419989/869956328685848626688*c_0101_1^7 - 763598874166820895547/108744541085731078336*c_0101_1^6 - 4723752002591467137769/869956328685848626688*c_0101_1^5 - 8040461161568603069677/869956328685848626688*c_0101_1^4 - 763455069833840154317/869956328685848626688*c_0101_1^3 + 1388660263265745846507/217489082171462156672*c_0101_1^2 + 12027634458391171479/54372270542865539168*c_0101_1 - 17656712614133501025/13593067635716384792, c_0011_4 + 1424539732181749461/434978164342924313344*c_0101_1^11 - 4631757638919509493/217489082171462156672*c_0101_1^10 - 281074904010075494433/869956328685848626688*c_0101_1^9 - 283434306218907966503/217489082171462156672*c_0101_1^8 - 1885823807972329340515/869956328685848626688*c_0101_1^7 - 181910074156519143965/108744541085731078336*c_0101_1^6 - 1520632209867874675247/869956328685848626688*c_0101_1^5 - 2906322682561378315531/869956328685848626688*c_0101_1^4 + 401891921160180007125/869956328685848626688*c_0101_1^3 + 308708456973708205821/217489082171462156672*c_0101_1^2 - 50447072692172054143/54372270542865539168*c_0101_1 + 5555265026835115641/13593067635716384792, c_0011_6 + 59144475948418055/217489082171462156672*c_0101_1^11 - 500050612589328225/108744541085731078336*c_0101_1^10 - 4016887851704317083/434978164342924313344*c_0101_1^9 + 4796881912256842659/27186135271432769584*c_0101_1^8 + 445467457981530084127/434978164342924313344*c_0101_1^7 + 221783615429624405885/108744541085731078336*c_0101_1^6 + 790053724366227605931/434978164342924313344*c_0101_1^5 + 747649249191722883395/434978164342924313344*c_0101_1^4 + 1481723558010759524611/434978164342924313344*c_0101_1^3 + 26238683496394380703/54372270542865539168*c_0101_1^2 - 37344154937271580459/27186135271432769584*c_0101_1 + 1316019588793972147/1699133454464548099, c_0101_0 + 4873539247863490663/434978164342924313344*c_0101_1^11 - 13751276064122557911/217489082171462156672*c_0101_1^10 - 1016594813467635003947/869956328685848626688*c_0101_1^9 - 1176276863245611666309/217489082171462156672*c_0101_1^8 - 9709780741300741103361/869956328685848626688*c_0101_1^7 - 1255272690657663705059/108744541085731078336*c_0101_1^6 - 8024977884680604424005/869956328685848626688*c_0101_1^5 - 11904816859339178958297/869956328685848626688*c_0101_1^4 - 4093061442913177339449/869956328685848626688*c_0101_1^3 + 1862316662906501247223/217489082171462156672*c_0101_1^2 + 155585685916787983803/54372270542865539168*c_0101_1 - 36033315148663700389/13593067635716384792, c_0101_1^12 - 6*c_0101_1^11 - 205/2*c_0101_1^10 - 444*c_0101_1^9 - 1607/2*c_0101_1^8 - 598*c_0101_1^7 - 691/2*c_0101_1^6 - 1747/2*c_0101_1^5 + 93/2*c_0101_1^4 + 1024*c_0101_1^3 - 144*c_0101_1^2 - 384*c_0101_1 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB