Magma V2.19-8 Wed Aug 21 2013 01:07:12 on localhost [Seed = 2260770692] Type ? for help. Type -D to quit. Loading file "L14n32983__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32983 geometric_solution 11.81354076 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 -4 3 1 4 0 -1 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614678659616 0.546234297499 0 5 7 6 0132 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 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 0.504776298821 0.777682170295 8 0 7 9 0132 0132 1023 0132 0 0 1 1 0 -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 4 -4 0 0 0 -1 1 0 0 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427201882024 0.717970149437 10 4 11 0 0132 1023 0132 0132 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 0 0 0 3 0 -3 -1 0 0 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 0.910440988760 0.578881566864 3 8 0 12 1023 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 -1 1 -3 0 3 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 0.683039667614 0.871838688433 10 1 12 8 1023 0132 0132 0132 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 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 0.941406395369 0.841041938154 9 11 1 10 0132 1023 0132 1023 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040449059351 1.434428114059 11 12 2 1 1023 0132 1023 0132 0 0 1 1 0 0 0 0 0 0 -1 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 -1 1 0 0 0 4 -4 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.326077426531 0.678660252091 2 4 5 11 0132 0132 0132 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 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889811359234 1.207320753107 6 12 2 10 0132 1023 0132 0132 0 0 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 0 0 0 0 0 0 0 0 0 -1 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864625805633 1.093893613394 3 5 9 6 0132 1023 0132 1023 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 0 0 1 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 0.641806537193 0.263945041202 6 7 8 3 1023 1023 0132 0132 0 0 1 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 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282044400360 0.725870402080 9 7 4 5 1023 0132 0132 0132 0 0 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 0 0 0 0 1 -1 0 0 0 0 0 3 -4 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.237786690848 0.648005342824 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_12'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_0101_8'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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_12' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_0'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1100_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_12'], 'c_1010_2' : d['c_0101_12'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], '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_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_0'], '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_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_8'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_1001_1, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3730124383487847325/7736851574052738*c_1100_1^8 + 12614844663352929173/7736851574052738*c_1100_1^7 + 356834719568143925/3868425787026369*c_1100_1^6 + 3349736090325346743/1289475262342123*c_1100_1^5 - 55668464939946593461/7736851574052738*c_1100_1^4 + 61026922751181781345/3868425787026369*c_1100_1^3 - 43515887764363267397/3868425787026369*c_1100_1^2 + 11735691924181178098/3868425787026369*c_1100_1 + 2825163214542405523/2578950524684246, c_0011_0 - 1, c_0011_11 - 929282216989575/2578950524684246*c_1100_1^8 + 2393406787837863/2578950524684246*c_1100_1^7 + 1145156031479868/1289475262342123*c_1100_1^6 + 3228056796456973/1289475262342123*c_1100_1^5 - 9106576475978233/2578950524684246*c_1100_1^4 + 10480541488575590/1289475262342123*c_1100_1^3 - 1665314164966800/1289475262342123*c_1100_1^2 - 1220700249901909/1289475262342123*c_1100_1 + 2970076533972107/2578950524684246, c_0101_0 - 1, c_0101_1 + 1035489755190775/2578950524684246*c_1100_1^8 - 1843049541344108/1289475262342123*c_1100_1^7 + 170543272588479/1289475262342123*c_1100_1^6 - 2713097976222238/1289475262342123*c_1100_1^5 + 16832735573274415/2578950524684246*c_1100_1^4 - 35363915915825875/2578950524684246*c_1100_1^3 + 30082373362592029/2578950524684246*c_1100_1^2 - 10817123040808647/2578950524684246*c_1100_1 - 229820761464387/1289475262342123, c_0101_11 + 501868329319125/2578950524684246*c_1100_1^8 - 967732988545345/1289475262342123*c_1100_1^7 + 187920904326088/1289475262342123*c_1100_1^6 - 914963394423950/1289475262342123*c_1100_1^5 + 9647680311451903/2578950524684246*c_1100_1^4 - 17267576377776943/2578950524684246*c_1100_1^3 + 15835488890303083/2578950524684246*c_1100_1^2 - 1243029379883125/2578950524684246*c_1100_1 - 951667008357822/1289475262342123, c_0101_12 - 345684248210625/1289475262342123*c_1100_1^8 + 1392774150167525/1289475262342123*c_1100_1^7 - 692426501561884/1289475262342123*c_1100_1^6 + 1733933947353924/1289475262342123*c_1100_1^5 - 6136536735436277/1289475262342123*c_1100_1^4 + 14998266828803133/1289475262342123*c_1100_1^3 - 14683074155784347/1289475262342123*c_1100_1^2 + 6283408800002595/1289475262342123*c_1100_1 + 458528101843989/1289475262342123, c_0101_3 - 1318476761666825/2578950524684246*c_1100_1^8 + 1945439873233914/1289475262342123*c_1100_1^7 + 895130868844956/1289475262342123*c_1100_1^6 + 4256469311274052/1289475262342123*c_1100_1^5 - 16298231358240891/2578950524684246*c_1100_1^4 + 36207947271613317/2578950524684246*c_1100_1^3 - 18681792785280369/2578950524684246*c_1100_1^2 + 5710382417231657/2578950524684246*c_1100_1 + 469001201857707/1289475262342123, c_0101_5 + 56909058848800/1289475262342123*c_1100_1^8 - 152212217482772/1289475262342123*c_1100_1^7 - 252584565844324/1289475262342123*c_1100_1^6 + 32129410226293/1289475262342123*c_1100_1^5 + 789252335104812/1289475262342123*c_1100_1^4 - 934310625415353/1289475262342123*c_1100_1^3 - 1698301656074396/1289475262342123*c_1100_1^2 + 2863820493471911/1289475262342123*c_1100_1 - 1833359305832363/1289475262342123, c_0101_7 + 716303445673025/2578950524684246*c_1100_1^8 - 1040457223017428/1289475262342123*c_1100_1^7 - 545204278632852/1289475262342123*c_1100_1^6 - 2204951173191211/1289475262342123*c_1100_1^5 + 8115391931366195/2578950524684246*c_1100_1^4 - 19552917318206099/2578950524684246*c_1100_1^3 + 8056250883760995/2578950524684246*c_1100_1^2 + 46285609388557/2578950524684246*c_1100_1 - 1275469547117725/1289475262342123, c_0101_8 - 1196547727348125/2578950524684246*c_1100_1^8 + 2010103534752150/1289475262342123*c_1100_1^7 + 127925175037790/1289475262342123*c_1100_1^6 + 3334907546710733/1289475262342123*c_1100_1^5 - 17824470891514533/2578950524684246*c_1100_1^4 + 39259732700399827/2578950524684246*c_1100_1^3 - 27771739016026169/2578950524684246*c_1100_1^2 + 7470111626894331/2578950524684246*c_1100_1 + 518256117619045/1289475262342123, c_1001_1 + 375129453195675/1289475262342123*c_1100_1^8 - 1222748145733997/1289475262342123*c_1100_1^7 - 245616842168665/1289475262342123*c_1100_1^6 - 2045226492527342/1289475262342123*c_1100_1^5 + 5551849878813329/1289475262342123*c_1100_1^4 - 11344927103818539/1289475262342123*c_1100_1^3 + 7844173718626240/1289475262342123*c_1100_1^2 - 778726775484810/1289475262342123*c_1100_1 - 287553981299301/1289475262342123, c_1100_0 - 632705814725950/1289475262342123*c_1100_1^8 + 2023031987488043/1289475262342123*c_1100_1^7 + 403167256088709/1289475262342123*c_1100_1^6 + 3773853548329949/1289475262342123*c_1100_1^5 - 8588151445424296/1289475262342123*c_1100_1^4 + 19423844614863144/1289475262342123*c_1100_1^3 - 12488854369823505/1289475262342123*c_1100_1^2 + 4367637196446283/1289475262342123*c_1100_1 + 682212605797842/1289475262342123, c_1100_1^9 - 86/25*c_1100_1^8 - 134/25*c_1100_1^6 + 381/25*c_1100_1^5 - 839/25*c_1100_1^4 + 629/25*c_1100_1^3 - 187/25*c_1100_1^2 - 2*c_1100_1 + 4/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB