Magma V2.19-8 Tue Aug 20 2013 23:41:13 on localhost [Seed = 2227363852] Type ? for help. Type -D to quit. Loading file "L12n1047__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1047 geometric_solution 10.48861661 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 3201 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113875418311 0.675702649072 0 0 5 4 0132 2310 0132 0132 1 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 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 0.502114408140 0.699790574837 6 0 6 7 0132 0132 0321 0132 1 1 1 1 0 0 0 0 1 0 -1 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 0 -1 -2 0 2 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 0.338524708208 0.885726698007 8 9 9 0 0132 0132 1302 0132 1 1 1 0 0 0 0 0 -1 0 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 2 0 -2 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574291312904 0.559561249585 8 9 1 6 2103 1230 0132 2031 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378463240597 0.695589258074 9 10 10 1 3012 0132 1302 0132 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093812196577 0.977036566277 2 4 2 10 0132 1302 0321 3012 1 1 1 1 0 0 0 0 -1 0 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 2 0 -1 -1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831924351965 0.635221678310 10 8 2 8 3120 3120 0132 1023 1 1 0 1 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 1 1 -2 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 0.277487093789 1.161528667134 3 7 4 7 0132 3120 2103 1023 1 1 0 1 0 0 0 0 1 0 0 -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 -2 0 0 2 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277487093789 1.161528667134 3 3 4 5 2031 0132 3012 1230 1 1 0 1 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 0 0 0 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106744331320 0.870344452258 5 5 6 7 2031 0132 1230 3120 1 1 0 1 0 0 -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 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 0.902623955090 1.014153383337 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_4'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_7']), '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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], '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_0011_0'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0110_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 397234797151923/356919667194844*c_1001_1^10 + 17833133443967373/2855357337558752*c_1001_1^9 - 35834256967262389/2855357337558752*c_1001_1^8 + 1492748646966041/109821436059952*c_1001_1^7 - 54573419266943615/2855357337558752*c_1001_1^6 + 10347271082103087/356919667194844*c_1001_1^5 - 6561927523613765/356919667194844*c_1001_1^4 + 26894894867875405/2855357337558752*c_1001_1^3 - 17266719544228339/1427678668779376*c_1001_1^2 + 6631440410244157/713839334389688*c_1001_1 - 519965680376847/178459833597422, c_0011_0 - 1, c_0011_10 - 27152914862/14889023327*c_1001_1^10 + 598537482457/59556093308*c_1001_1^9 - 1105256914715/59556093308*c_1001_1^8 + 889615165381/59556093308*c_1001_1^7 - 593488629943/29778046654*c_1001_1^6 + 1143996331923/29778046654*c_1001_1^5 - 1105259966219/59556093308*c_1001_1^4 + 33532988695/59556093308*c_1001_1^3 - 315936423301/14889023327*c_1001_1^2 + 1478671913273/59556093308*c_1001_1 - 90930033053/14889023327, c_0011_3 - 1, c_0011_4 + 30985102220/14889023327*c_1001_1^10 - 336074943237/29778046654*c_1001_1^9 + 301556684572/14889023327*c_1001_1^8 - 231450626400/14889023327*c_1001_1^7 + 320524371194/14889023327*c_1001_1^6 - 1243806861093/29778046654*c_1001_1^5 + 545058072227/29778046654*c_1001_1^4 + 14427071577/29778046654*c_1001_1^3 + 682219821115/29778046654*c_1001_1^2 - 783289474777/29778046654*c_1001_1 + 81028083393/14889023327, c_0011_7 + 29543040410/14889023327*c_1001_1^10 - 657439065363/59556093308*c_1001_1^9 + 1231046706607/59556093308*c_1001_1^8 - 999619669861/59556093308*c_1001_1^7 + 643007665597/29778046654*c_1001_1^6 - 632482509409/14889023327*c_1001_1^5 + 1305775457661/59556093308*c_1001_1^4 + 7487386543/59556093308*c_1001_1^3 + 692702445967/29778046654*c_1001_1^2 - 1666577875747/59556093308*c_1001_1 + 96556188702/14889023327, c_0101_0 + 75401927744/14889023327*c_1001_1^10 - 414391348824/14889023327*c_1001_1^9 + 760936298004/14889023327*c_1001_1^8 - 606438173425/14889023327*c_1001_1^7 + 813976524264/14889023327*c_1001_1^6 - 1570432858297/14889023327*c_1001_1^5 + 748689407453/14889023327*c_1001_1^4 - 13230860947/14889023327*c_1001_1^3 + 864080611035/14889023327*c_1001_1^2 - 1003374842286/14889023327*c_1001_1 + 220846211310/14889023327, c_0101_1 - 24436536012/14889023327*c_1001_1^10 + 273532053525/29778046654*c_1001_1^9 - 257993212550/14889023327*c_1001_1^8 + 212873364230/14889023327*c_1001_1^7 - 274853778030/14889023327*c_1001_1^6 + 1060047380845/29778046654*c_1001_1^5 - 548695401597/29778046654*c_1001_1^4 + 24423646873/29778046654*c_1001_1^3 - 578406806921/29778046654*c_1001_1^2 + 680951787585/29778046654*c_1001_1 - 95071932537/14889023327, c_0101_10 - 32806947148/14889023327*c_1001_1^10 + 373883186173/29778046654*c_1001_1^9 - 724151748995/29778046654*c_1001_1^8 + 304714164369/14889023327*c_1001_1^7 - 746467642997/29778046654*c_1001_1^6 + 743176656239/14889023327*c_1001_1^5 - 422247263974/14889023327*c_1001_1^4 - 10058924093/29778046654*c_1001_1^3 - 384028787594/14889023327*c_1001_1^2 + 492457388932/14889023327*c_1001_1 - 129348204673/14889023327, c_0101_2 - 39622417668/14889023327*c_1001_1^10 + 445327771359/29778046654*c_1001_1^9 - 848322707651/29778046654*c_1001_1^8 + 709080501971/29778046654*c_1001_1^7 - 447182044410/14889023327*c_1001_1^6 + 869558775500/14889023327*c_1001_1^5 - 932624478061/29778046654*c_1001_1^4 - 2761253011/29778046654*c_1001_1^3 - 457665606201/14889023327*c_1001_1^2 + 1170773072027/29778046654*c_1001_1 - 138376066107/14889023327, c_0110_4 - 20028039252/14889023327*c_1001_1^10 + 226383271787/29778046654*c_1001_1^9 - 436478587227/29778046654*c_1001_1^8 + 185335032218/14889023327*c_1001_1^7 - 449665439965/29778046654*c_1001_1^6 + 440270921460/14889023327*c_1001_1^5 - 260324222058/14889023327*c_1001_1^4 + 20279937899/29778046654*c_1001_1^3 - 214511126397/14889023327*c_1001_1^2 + 314139320185/14889023327*c_1001_1 - 91150575501/14889023327, c_1001_1^11 - 47/8*c_1001_1^10 + 97/8*c_1001_1^9 - 93/8*c_1001_1^8 + 27/2*c_1001_1^7 - 99/4*c_1001_1^6 + 139/8*c_1001_1^5 - 25/8*c_1001_1^4 + 23/2*c_1001_1^3 - 141/8*c_1001_1^2 + 15/2*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB