Magma V2.19-8 Tue Aug 20 2013 23:57:52 on localhost [Seed = 324369329] Type ? for help. Type -D to quit. Loading file "L14n37625__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37625 geometric_solution 11.39064834 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 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 -2 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 0.633663247174 0.491039908268 0 5 7 6 0132 0132 0132 0132 1 0 0 1 0 -1 1 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 7 -7 0 0 0 0 0 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103006954122 0.819846872988 5 0 8 3 2310 0132 0132 3012 0 0 0 1 0 0 0 0 1 0 0 -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 -1 1 0 -2 0 0 2 0 0 0 0 -7 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602106921092 0.831075660172 9 9 2 0 0132 2310 1230 0132 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773373274743 0.997859363998 10 11 0 9 0132 0132 0132 3012 0 0 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 -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 0.633663247174 0.491039908268 10 1 2 11 1023 0132 3201 2310 1 0 1 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 -7 7 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550241301396 0.692424370117 11 8 1 7 2310 2031 0132 0321 1 0 1 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 -6 0 6 1 0 0 -1 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682411622397 0.547258296110 10 6 8 1 3120 0321 3120 0132 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 0 0 0 0 0 0 0 0 -6 -1 7 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 0.789629799370 0.804778195685 6 11 7 2 1302 0321 3120 0132 0 0 1 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 6 0 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304036762295 1.163102741023 3 10 4 3 0132 0213 1230 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.216436260501 0.952989763253 4 5 9 7 0132 1023 0213 3120 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 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 0.602106921092 0.831075660172 5 4 6 8 3201 0132 3201 0321 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 -2 2 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 1.103006954122 0.819846872988 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : negation(d['c_0011_3']), '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_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_0011_3']), 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_1001_2'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_8']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_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_0101_0'], 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7'])})} 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_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 80024791171506302945/12881737752525216*c_1001_2^13 - 9102040492429870787/12881737752525216*c_1001_2^12 + 98070647397610954867/5725216778900096*c_1001_2^11 - 8989753829617686151/1610217219065652*c_1001_2^10 + 860991120574158267211/51526951010100864*c_1001_2^9 - 339881560972858760027/25763475505050432*c_1001_2^8 - 1238402932924671263/805108609532826*c_1001_2^7 - 218331709408772683181/17175650336700288*c_1001_2^6 + 24307712533223421641/3220434438131304*c_1001_2^5 - 7449464926237000219/51526951010100864*c_1001_2^4 - 312615691233653927045/51526951010100864*c_1001_2^3 - 255775857571071308285/8587825168350144*c_1001_2^2 - 136487172158883952015/6440868876262608*c_1001_2 - 60123858614063699065/6440868876262608, c_0011_0 - 1, c_0011_3 - 454066945992490/3622988742897717*c_1001_2^13 + 67274729620364/3622988742897717*c_1001_2^12 - 16046850630819/89456512170314*c_1001_2^11 - 1942958558278939/7245977485795434*c_1001_2^10 + 95435115575509/2415325828598478*c_1001_2^9 - 967743321157387/2415325828598478*c_1001_2^8 + 447798729928766/1207662914299239*c_1001_2^7 - 371110133083339/7245977485795434*c_1001_2^6 + 453059285078305/2415325828598478*c_1001_2^5 + 4335119877987407/7245977485795434*c_1001_2^4 + 2742873844202071/3622988742897717*c_1001_2^3 + 2014541662571557/7245977485795434*c_1001_2^2 - 596573046163526/1207662914299239*c_1001_2 - 542062708055545/3622988742897717, c_0011_6 - 115907123080315/805108609532826*c_1001_2^13 + 64495545294929/805108609532826*c_1001_2^12 - 100487953733089/357826048681256*c_1001_2^11 + 157720396087316/402554304766413*c_1001_2^10 - 688069488167587/1073478146043768*c_1001_2^9 + 673526324943107/536739073021884*c_1001_2^8 - 179336082276407/134184768255471*c_1001_2^7 + 5100178244104813/3220434438131304*c_1001_2^6 - 274780832183813/134184768255471*c_1001_2^5 + 2399049170050033/3220434438131304*c_1001_2^4 + 621424076239231/3220434438131304*c_1001_2^3 + 655851000450613/1610217219065652*c_1001_2^2 - 63438682435582/134184768255471*c_1001_2 + 129631030997737/402554304766413, c_0011_7 - 177099724133680/402554304766413*c_1001_2^13 - 100020624924202/402554304766413*c_1001_2^12 - 15488798442046/44728256085157*c_1001_2^11 - 827354924602015/805108609532826*c_1001_2^10 + 144670770215990/134184768255471*c_1001_2^9 - 342222974436649/268369536510942*c_1001_2^8 + 307744259178611/134184768255471*c_1001_2^7 - 158230659639344/402554304766413*c_1001_2^6 - 93784204926779/268369536510942*c_1001_2^5 - 107503392902660/402554304766413*c_1001_2^4 + 1683224713706081/805108609532826*c_1001_2^3 + 1273011640268065/805108609532826*c_1001_2^2 + 187502590265302/134184768255471*c_1001_2 - 258320284539025/402554304766413, c_0011_8 - 58718671321015/89456512170314*c_1001_2^13 + 84416184008149/89456512170314*c_1001_2^12 - 814529602973181/357826048681256*c_1001_2^11 + 123797432547738/44728256085157*c_1001_2^10 - 1205146319430189/357826048681256*c_1001_2^9 + 682061046988165/178913024340628*c_1001_2^8 - 111795935966945/44728256085157*c_1001_2^7 + 787969214415137/357826048681256*c_1001_2^6 - 114361193080847/44728256085157*c_1001_2^5 + 849367815794605/357826048681256*c_1001_2^4 - 42084430320789/357826048681256*c_1001_2^3 + 244164798566613/178913024340628*c_1001_2^2 - 41977382465811/44728256085157*c_1001_2 + 30145645589409/44728256085157, c_0101_0 - 1, c_0101_1 - c_1001_2, c_0101_2 + 177099724133680/402554304766413*c_1001_2^13 + 100020624924202/402554304766413*c_1001_2^12 + 15488798442046/44728256085157*c_1001_2^11 + 827354924602015/805108609532826*c_1001_2^10 - 144670770215990/134184768255471*c_1001_2^9 + 342222974436649/268369536510942*c_1001_2^8 - 307744259178611/134184768255471*c_1001_2^7 + 158230659639344/402554304766413*c_1001_2^6 + 93784204926779/268369536510942*c_1001_2^5 + 107503392902660/402554304766413*c_1001_2^4 - 1683224713706081/805108609532826*c_1001_2^3 - 1273011640268065/805108609532826*c_1001_2^2 - 187502590265302/134184768255471*c_1001_2 + 258320284539025/402554304766413, c_0101_3 + 454066945992490/3622988742897717*c_1001_2^13 - 67274729620364/3622988742897717*c_1001_2^12 + 16046850630819/89456512170314*c_1001_2^11 + 1942958558278939/7245977485795434*c_1001_2^10 - 95435115575509/2415325828598478*c_1001_2^9 + 967743321157387/2415325828598478*c_1001_2^8 - 447798729928766/1207662914299239*c_1001_2^7 + 371110133083339/7245977485795434*c_1001_2^6 - 453059285078305/2415325828598478*c_1001_2^5 - 4335119877987407/7245977485795434*c_1001_2^4 - 2742873844202071/3622988742897717*c_1001_2^3 - 2014541662571557/7245977485795434*c_1001_2^2 + 596573046163526/1207662914299239*c_1001_2 + 542062708055545/3622988742897717, c_0101_5 - 205165437975130/3622988742897717*c_1001_2^13 + 598786650931178/3622988742897717*c_1001_2^12 - 48652507662295/89456512170314*c_1001_2^11 + 1482650164041109/3622988742897717*c_1001_2^10 - 1966690602340865/2415325828598478*c_1001_2^9 + 538612119127264/1207662914299239*c_1001_2^8 - 326724074009509/1207662914299239*c_1001_2^7 + 3357072417601871/7245977485795434*c_1001_2^6 + 639274372899278/1207662914299239*c_1001_2^5 + 4532207101819913/7245977485795434*c_1001_2^4 - 1890434072963857/7245977485795434*c_1001_2^3 - 2243786084483068/3622988742897717*c_1001_2^2 + 1087517604413056/1207662914299239*c_1001_2 + 363253556793992/3622988742897717, c_0101_7 + 240235525665520/3622988742897717*c_1001_2^13 - 2359216485857132/3622988742897717*c_1001_2^12 + 100596673990096/134184768255471*c_1001_2^11 - 5325206159049121/3622988742897717*c_1001_2^10 + 1896621921591694/1207662914299239*c_1001_2^9 - 985806928158010/1207662914299239*c_1001_2^8 + 1567472866533439/1207662914299239*c_1001_2^7 + 2470221609088295/3622988742897717*c_1001_2^6 - 190712140464575/1207662914299239*c_1001_2^5 - 5283528054428713/3622988742897717*c_1001_2^4 - 1105226655179437/3622988742897717*c_1001_2^3 + 2774708703462928/3622988742897717*c_1001_2^2 + 325682742688670/1207662914299239*c_1001_2 - 435650818745711/3622988742897717, c_1001_2^14 - 3/5*c_1001_2^13 + 11/4*c_1001_2^12 - 11/5*c_1001_2^11 + 59/20*c_1001_2^10 - 33/10*c_1001_2^9 + 3/5*c_1001_2^8 - 7/4*c_1001_2^7 + 11/5*c_1001_2^6 - 11/20*c_1001_2^5 - 21/20*c_1001_2^4 - 43/10*c_1001_2^3 - c_1001_2^2 + 2/5*c_1001_2 + 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB