Magma V2.19-8 Tue Aug 20 2013 23:56:33 on localhost [Seed = 947802162] Type ? for help. Type -D to quit. Loading file "L14n23888__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23888 geometric_solution 10.47964792 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 0 -1 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 -1 -1 2 0 0 1 -1 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956961767029 0.993052415548 0 2 6 5 0132 0213 0132 0132 0 1 0 1 0 -1 0 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 1 0 -1 0 0 0 0 0 1 0 -1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546714002087 0.482979209420 7 0 1 7 0132 0132 0213 3012 0 0 0 1 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 1 -1 0 1 0 -1 0 0 0 0 0 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496846724836 0.522129088651 5 7 8 0 0132 1302 0132 0132 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 9 0 -8 -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 0.043560726922 1.005108298071 5 6 0 9 3201 0132 0132 0132 0 1 0 1 0 0 1 -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 -2 1 -1 0 1 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088612152954 1.001285533472 3 10 1 4 0132 0132 0132 2310 0 1 1 0 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 -1 1 0 -9 0 0 9 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.886061996608 0.895518090600 11 4 11 1 0132 0132 2310 0132 0 1 1 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 -1 1 0 0 0 0 0 8 0 0 -8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138111213401 0.888511689056 2 8 2 3 0132 3120 1230 2031 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 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956961767029 0.993052415548 11 7 9 3 2310 3120 0132 0132 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 0 0 0 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027339043499 0.907573973123 10 10 4 8 2310 1302 0132 0132 0 1 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 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 0 0 0 0 0.510196899218 0.602739359093 11 5 9 9 3201 0132 3201 2031 0 0 0 1 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 1 0 -1 0 0 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 0.598294842748 0.241334133552 6 6 8 10 0132 3201 3201 2310 0 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 1 -1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562478499189 0.579852910425 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_0011_9'], '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_0101_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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : negation(d['c_0011_0']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_1']), '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_7'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_0110_10, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 7303353859/190005408*c_1100_0^9 - 25539917837/190005408*c_1100_0^8 - 41887865165/190005408*c_1100_0^7 + 256037912881/190005408*c_1100_0^6 - 10700239921/15833784*c_1100_0^5 - 417309344839/190005408*c_1100_0^4 - 2004932437/21111712*c_1100_0^3 + 123810987995/190005408*c_1100_0^2 + 34282976281/95002704*c_1100_0 + 7339138321/190005408, c_0011_0 - 1, c_0011_10 - 190255/1319482*c_1100_0^9 + 660707/1319482*c_1100_0^8 + 1161549/1319482*c_1100_0^7 - 6783157/1319482*c_1100_0^6 + 1354996/659741*c_1100_0^5 + 12604211/1319482*c_1100_0^4 + 1142699/1319482*c_1100_0^3 - 7102455/1319482*c_1100_0^2 - 1224064/659741*c_1100_0 - 374041/1319482, c_0011_11 + 197833/1319482*c_1100_0^9 - 757535/1319482*c_1100_0^8 - 984455/1319482*c_1100_0^7 + 7658353/1319482*c_1100_0^6 - 2796231/659741*c_1100_0^5 - 13165793/1319482*c_1100_0^4 + 6898393/1319482*c_1100_0^3 + 5217331/1319482*c_1100_0^2 - 13588/659741*c_1100_0 - 595247/1319482, c_0011_9 - 48760/659741*c_1100_0^9 + 178503/659741*c_1100_0^8 + 268961/659741*c_1100_0^7 - 1854710/659741*c_1100_0^6 + 1155373/659741*c_1100_0^5 + 3538232/659741*c_1100_0^4 - 1800519/659741*c_1100_0^3 - 1479729/659741*c_1100_0^2 + 485991/659741*c_1100_0 + 202496/659741, c_0101_0 + c_1100_0, c_0101_1 - 1, c_0101_10 + 197833/1319482*c_1100_0^9 - 757535/1319482*c_1100_0^8 - 984455/1319482*c_1100_0^7 + 7658353/1319482*c_1100_0^6 - 2796231/659741*c_1100_0^5 - 13165793/1319482*c_1100_0^4 + 6898393/1319482*c_1100_0^3 + 5217331/1319482*c_1100_0^2 - 13588/659741*c_1100_0 - 595247/1319482, c_0101_7 - 100313/1319482*c_1100_0^9 + 400529/1319482*c_1100_0^8 + 446533/1319482*c_1100_0^7 - 3948933/1319482*c_1100_0^6 + 1640858/659741*c_1100_0^5 + 6089329/1319482*c_1100_0^4 - 3297355/1319482*c_1100_0^3 - 2257873/1319482*c_1100_0^2 - 1132144/659741*c_1100_0 + 190255/1319482, c_0101_9 - 134110/659741*c_1100_0^9 + 593652/659741*c_1100_0^8 + 305834/659741*c_1100_0^7 - 5280626/659741*c_1100_0^6 + 6753692/659741*c_1100_0^5 + 4334594/659741*c_1100_0^4 - 5217767/659741*c_1100_0^3 - 2032864/659741*c_1100_0^2 + 376424/659741*c_1100_0 + 388088/659741, c_0110_10 + 4296/659741*c_1100_0^9 + 26596/659741*c_1100_0^8 - 171232/659741*c_1100_0^7 - 91503/659741*c_1100_0^6 + 1373666/659741*c_1100_0^5 - 993775/659741*c_1100_0^4 - 2364834/659741*c_1100_0^3 + 57524/659741*c_1100_0^2 + 1369428/659741*c_1100_0 + 99278/659741, c_1001_1 - 190255/1319482*c_1100_0^9 + 660707/1319482*c_1100_0^8 + 1161549/1319482*c_1100_0^7 - 6783157/1319482*c_1100_0^6 + 1354996/659741*c_1100_0^5 + 12604211/1319482*c_1100_0^4 + 1142699/1319482*c_1100_0^3 - 7102455/1319482*c_1100_0^2 - 1224064/659741*c_1100_0 - 374041/1319482, c_1100_0^10 - 4*c_1100_0^9 - 4*c_1100_0^8 + 38*c_1100_0^7 - 35*c_1100_0^6 - 49*c_1100_0^5 + 26*c_1100_0^4 + 20*c_1100_0^3 + c_1100_0^2 - 3*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB