Magma V2.19-8 Tue Aug 20 2013 23:56:50 on localhost [Seed = 2783169887] Type ? for help. Type -D to quit. Loading file "L14n24773__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24773 geometric_solution 10.29801197 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 1 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 0 0 0 0 1 -1 0 -2 0 -1 3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.059010770609 1.145666072745 0 5 2 4 0132 0132 3120 3120 1 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 0 0 0 0 0 0 0 2 0 1 -3 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241690489235 0.388408481267 3 0 1 6 2103 0132 3120 0132 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 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 0.519353111318 0.772142692547 6 7 2 0 3120 0132 2103 0132 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 0 0 0 -1 0 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 0.122501903500 0.587796546943 1 5 0 6 3120 2310 0132 3120 1 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 3 0 -3 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 0.580850146926 0.597942891979 7 1 8 4 3120 0132 0132 3201 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 1 -1 -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 0.700372240580 0.977134590143 4 9 2 3 3120 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875340238627 0.547197560699 9 3 10 5 2103 0132 0132 3120 1 1 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 1 0 -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 0.110565360026 0.524846202878 11 10 9 5 0132 1023 1302 0132 1 1 1 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 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 0.184864028486 0.438327172961 8 6 7 11 2031 0132 2103 2103 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333321895555 0.229260185715 8 11 11 7 1023 2103 3120 0132 1 1 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 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 -0.231432534790 1.183182083402 8 10 10 9 0132 2103 3120 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.130735640923 0.486439220740 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_6']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_6'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], '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_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0101_0']})} 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_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 395359569299936503769/16451509454443936*c_1001_1^8 - 8112466581464428747/25466732901616*c_1001_1^7 - 29192303971304724773369/16451509454443936*c_1001_1^6 - 16280714868240469891607/4112877363610984*c_1001_1^5 - 17564814982157314203389/4112877363610984*c_1001_1^4 - 35003707307395365316645/16451509454443936*c_1001_1^3 - 21623172949593663919/120966981282676*c_1001_1^2 + 3785949759833638155327/16451509454443936*c_1001_1 + 1029142250080975716981/16451509454443936, c_0011_0 - 1, c_0011_10 + 12435921706/35110423*c_1001_1^8 + 511594782/108701*c_1001_1^7 + 923316440902/35110423*c_1001_1^6 + 2074992363264/35110423*c_1001_1^5 + 2260012646431/35110423*c_1001_1^4 + 1142236213112/35110423*c_1001_1^3 + 6064202069/2065319*c_1001_1^2 - 122956666794/35110423*c_1001_1 - 34348715573/35110423, c_0011_3 - 64965404777/35110423*c_1001_1^8 - 2680506440/108701*c_1001_1^7 - 4856120361119/35110423*c_1001_1^6 - 11012913857018/35110423*c_1001_1^5 - 12143061322859/35110423*c_1001_1^4 - 6253802061606/35110423*c_1001_1^3 - 36446982648/2065319*c_1001_1^2 + 665813491903/35110423*c_1001_1 + 192487291405/35110423, c_0011_4 - 9468660994/35110423*c_1001_1^8 - 391207309/108701*c_1001_1^7 - 709924261824/35110423*c_1001_1^6 - 1616369316430/35110423*c_1001_1^5 - 1791046988206/35110423*c_1001_1^4 - 928820720717/35110423*c_1001_1^3 - 5572650873/2065319*c_1001_1^2 + 98539090531/35110423*c_1001_1 + 28778131786/35110423, c_0011_6 + 6642529881/35110423*c_1001_1^8 + 274652440/108701*c_1001_1^7 + 498862552139/35110423*c_1001_1^6 + 1138099295728/35110423*c_1001_1^5 + 1263387878434/35110423*c_1001_1^4 + 656178817373/35110423*c_1001_1^3 + 3942985187/2065319*c_1001_1^2 - 69601582127/35110423*c_1001_1 - 20277037932/35110423, c_0101_0 - 1, c_0101_1 + 5372947554/35110423*c_1001_1^8 + 221943989/108701*c_1001_1^7 + 402667287264/35110423*c_1001_1^6 + 916332491629/35110423*c_1001_1^5 + 1014972458022/35110423*c_1001_1^4 + 526369849123/35110423*c_1001_1^3 + 3166266222/2065319*c_1001_1^2 - 55768552531/35110423*c_1001_1 - 16317483669/35110423, c_0101_10 + 3217621420/35110423*c_1001_1^8 + 131246830/108701*c_1001_1^7 + 234334758822/35110423*c_1001_1^6 + 513163146440/35110423*c_1001_1^5 + 540882700740/35110423*c_1001_1^4 + 260626333535/35110423*c_1001_1^3 + 1075567394/2065319*c_1001_1^2 - 28695861578/35110423*c_1001_1 - 7496476226/35110423, c_0101_11 - 6748440595/35110423*c_1001_1^8 - 279465928/108701*c_1001_1^7 - 508626049582/35110423*c_1001_1^6 - 1165944556500/35110423*c_1001_1^5 - 1303018975621/35110423*c_1001_1^4 - 683859639933/35110423*c_1001_1^3 - 4310359077/2065319*c_1001_1^2 + 72064783204/35110423*c_1001_1 + 21423273064/35110423, c_0101_6 + 12578466550/35110423*c_1001_1^8 + 519892998/108701*c_1001_1^7 + 943904896343/35110423*c_1001_1^6 + 2151521806971/35110423*c_1001_1^5 + 2387409051058/35110423*c_1001_1^4 + 1240981726314/35110423*c_1001_1^3 + 7537963627/2065319*c_1001_1^2 - 131405742535/35110423*c_1001_1 - 38571693719/35110423, c_1001_0 - 12539927270/35110423*c_1001_1^8 - 518660617/108701*c_1001_1^7 - 942489311485/35110423*c_1001_1^6 - 2152672228909/35110423*c_1001_1^5 - 2394754202917/35110423*c_1001_1^4 - 1249132530294/35110423*c_1001_1^3 - 7688695209/2065319*c_1001_1^2 + 132053859374/35110423*c_1001_1 + 38973381967/35110423, c_1001_1^9 + 181/13*c_1001_1^8 + 1075/13*c_1001_1^7 + 2783/13*c_1001_1^6 + 288*c_1001_1^5 + 2701/13*c_1001_1^4 + 67*c_1001_1^3 - 59/13*c_1001_1^2 - 118/13*c_1001_1 - 23/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.380 seconds, Total memory usage: 32.09MB