Magma V2.19-8 Tue Aug 20 2013 23:42:34 on localhost [Seed = 3987441803] Type ? for help. Type -D to quit. Loading file "L13n4424__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4424 geometric_solution 9.85011176 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894011876132 0.814900165688 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -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 0.589862187285 1.300193613597 8 0 9 5 0132 0132 0132 1302 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692229313540 0.871213663762 4 7 9 0 3201 1230 1023 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 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557520367307 0.316939848458 8 6 0 3 3012 3012 0132 2310 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 1 -1 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 0.851543796474 0.914709143206 7 1 2 10 1023 0132 2031 0132 1 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 0 0 0 0 -2 2 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 0.396861241862 0.938654465756 4 10 1 9 1230 0132 0132 3120 1 1 0 1 0 -1 1 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 -1 1 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 0.184155886735 0.683357029097 8 5 3 1 1023 1023 3012 0132 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 -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 0.151978460680 0.398531980763 2 7 10 4 0132 1023 1230 1230 1 1 0 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518843714995 1.078793961798 6 10 3 2 3120 2031 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702545624532 0.212874276098 9 6 5 8 1302 0132 0132 3012 1 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 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 0.377632631595 0.577233054279 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_3']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 393709450506854366810939/25962265171910003299748*c_0101_9^9 - 301969029086294181740899/25962265171910003299748*c_0101_9^8 + 175187126284253786627341/1180102962359545604534*c_0101_9^7 - 14736567632482181445726815/25962265171910003299748*c_0101_9^6 + 11276830626402563467606107/25962265171910003299748*c_0101_9^5 - 9467300514665842986489623/12981132585955001649874*c_0101_9^4 + 2119201950859846661892741/3708895024558571899964*c_0101_9^3 - 1285650741292970170091593/1854447512279285949982*c_0101_9^2 + 636936724394600837864253/1854447512279285949982*c_0101_9 - 993094245198388655372522/6490566292977500824937, c_0011_0 - 1, c_0011_10 - 2843504069485105/15543623223302147*c_0101_9^9 - 5267008882477273/15543623223302147*c_0101_9^8 + 24536002172452920/15543623223302147*c_0101_9^7 - 76374369761036529/15543623223302147*c_0101_9^6 - 23198308101513583/15543623223302147*c_0101_9^5 - 87168507469474761/15543623223302147*c_0101_9^4 - 5285290894168659/15543623223302147*c_0101_9^3 - 31437351783526273/15543623223302147*c_0101_9^2 - 19073548690024863/15543623223302147*c_0101_9 + 10033159208263543/15543623223302147, c_0011_3 - 1761779516454061/15543623223302147*c_0101_9^9 - 15679374862729267/62174492893208588*c_0101_9^8 + 55273450207949869/62174492893208588*c_0101_9^7 - 84868352470969477/31087246446604294*c_0101_9^6 - 125717394612522711/62174492893208588*c_0101_9^5 - 237627542066060077/62174492893208588*c_0101_9^4 - 73260832234984441/31087246446604294*c_0101_9^3 - 132252838812800793/62174492893208588*c_0101_9^2 - 54111838090467705/31087246446604294*c_0101_9 + 5704112975139437/31087246446604294, c_0011_4 + 6109423064578457/62174492893208588*c_0101_9^9 + 14084648544677967/62174492893208588*c_0101_9^8 - 11866813992485750/15543623223302147*c_0101_9^7 + 140683017345855205/62174492893208588*c_0101_9^6 + 126880715850991149/62174492893208588*c_0101_9^5 + 54292455021136221/15543623223302147*c_0101_9^4 + 71095238447411567/62174492893208588*c_0101_9^3 + 43229137148379015/15543623223302147*c_0101_9^2 + 35826671648878159/31087246446604294*c_0101_9 + 6083402419620264/15543623223302147, c_0011_9 + 4355446686531915/62174492893208588*c_0101_9^9 + 10468459513369615/62174492893208588*c_0101_9^8 - 15197230705561635/31087246446604294*c_0101_9^7 + 102583090577424211/62174492893208588*c_0101_9^6 + 78164826600192801/62174492893208588*c_0101_9^5 + 107423408096228091/31087246446604294*c_0101_9^4 + 142117279027220765/62174492893208588*c_0101_9^3 + 75889142024011343/31087246446604294*c_0101_9^2 + 52348279420057001/31087246446604294*c_0101_9 + 9608683844776217/15543623223302147, c_0101_0 - 1, c_0101_1 + 6112139080477209/62174492893208588*c_0101_9^9 + 11887487944104823/62174492893208588*c_0101_9^8 - 12359558343046058/15543623223302147*c_0101_9^7 + 160566421452866869/62174492893208588*c_0101_9^6 + 40059135121707041/62174492893208588*c_0101_9^5 + 69554603740189537/15543623223302147*c_0101_9^4 - 22082449037284693/62174492893208588*c_0101_9^3 + 25042144444182859/15543623223302147*c_0101_9^2 + 12103016125610267/31087246446604294*c_0101_9 + 4204252585799554/15543623223302147, c_0101_3 + 293051474713153/62174492893208588*c_0101_9^9 + 460285965643289/15543623223302147*c_0101_9^8 + 1965175469704345/62174492893208588*c_0101_9^7 + 1045757916947943/62174492893208588*c_0101_9^6 + 9705642639876195/31087246446604294*c_0101_9^5 + 66908817184807631/62174492893208588*c_0101_9^4 + 74825455375467125/62174492893208588*c_0101_9^3 + 86993724335408503/62174492893208588*c_0101_9^2 - 7949727855485702/15543623223302147*c_0101_9 + 11038180759314463/31087246446604294, c_0101_7 - 7146252404150847/62174492893208588*c_0101_9^9 - 1945328045453102/15543623223302147*c_0101_9^8 + 73896493867632257/62174492893208588*c_0101_9^7 - 235536038877504569/62174492893208588*c_0101_9^6 + 33452609801051335/31087246446604294*c_0101_9^5 - 116464645613544481/62174492893208588*c_0101_9^4 + 174595694368369221/62174492893208588*c_0101_9^3 - 77888449068017949/62174492893208588*c_0101_9^2 + 3721876593828020/15543623223302147*c_0101_9 + 22278578759532455/31087246446604294, c_0101_8 + 1140137175181264/15543623223302147*c_0101_9^9 + 6746815929920161/31087246446604294*c_0101_9^8 - 14141494975561281/31087246446604294*c_0101_9^7 + 20059035878607090/15543623223302147*c_0101_9^6 + 77644732930218001/31087246446604294*c_0101_9^5 + 122614986166693605/31087246446604294*c_0101_9^4 + 30415903066768295/15543623223302147*c_0101_9^3 + 68009546595311409/31087246446604294*c_0101_9^2 + 13471199252612099/15543623223302147*c_0101_9 + 16033569409631662/15543623223302147, c_0101_9^10 + 23/13*c_0101_9^9 - 110/13*c_0101_9^8 + 367/13*c_0101_9^7 + 45/13*c_0101_9^6 + 498/13*c_0101_9^5 + 25/13*c_0101_9^4 + 28*c_0101_9^3 + 112/13*c_0101_9^2 + 40/13*c_0101_9 + 44/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB