Magma V2.19-8 Tue Aug 20 2013 17:55:57 on localhost [Seed = 307471859] Type ? for help. Type -D to quit. Loading file "10^2_9__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_9 geometric_solution 9.96651188 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 1 1 0 0 0 -1 0 1 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 -1 1 0 1 0 -1 0 0 1 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431921663741 0.696403487586 0 4 0 5 0132 0132 3012 0132 0 1 0 0 0 1 -1 0 -1 0 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 3 -3 0 -1 0 1 0 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356813544858 1.037033629315 4 6 7 0 0132 0132 0132 0132 1 1 0 0 0 0 0 0 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 0 1 -1 0 0 -1 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894367604299 0.866718558451 8 8 0 9 0132 1302 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.983194796964 0.805426735205 2 1 10 6 0132 0132 0132 3120 0 1 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 -3 1 2 0 0 0 0 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599032239641 0.383537010750 9 10 1 6 0132 0132 0132 3012 0 1 1 0 0 0 0 0 0 0 0 0 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 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 0.315812303948 0.416248727418 4 2 5 7 3120 0132 1230 3120 1 1 0 0 0 0 0 0 0 0 -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 0 0 0 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317498131152 0.539919215631 6 9 8 2 3120 3120 0321 0132 1 1 0 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 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 0.604304144355 0.478678425922 3 10 7 3 0132 3201 0321 2031 1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025894209265 1.241037575319 5 7 3 10 0132 3120 0132 3120 1 1 0 1 0 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 3 -1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604304144355 0.478678425922 9 5 8 4 3120 0132 2310 0132 0 1 0 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.208608288710 0.957356851844 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['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_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_0101_10']), 'c_1100_8' : d['c_1001_7'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_1001_7']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_3'], '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_7']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_7']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_4, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1987611/38912*c_1001_7^5 + 74023691/486400*c_1001_7^4 - 80271717/121600*c_1001_7^3 - 1503579/12160*c_1001_7^2 - 19061687/60800*c_1001_7 - 6226729/30400, c_0011_0 - 1, c_0011_10 + 875/9728*c_1001_7^5 - 1385/4864*c_1001_7^4 + 1381/1216*c_1001_7^3 + 237/608*c_1001_7^2 - 257/608*c_1001_7 + 259/304, c_0011_3 + 725/9728*c_1001_7^5 - 331/1216*c_1001_7^4 + 1369/1216*c_1001_7^3 - 93/152*c_1001_7^2 + 749/608*c_1001_7 - 67/76, c_0101_0 - 1, c_0101_1 - 725/4864*c_1001_7^5 + 3123/4864*c_1001_7^4 - 1635/608*c_1001_7^3 + 1599/608*c_1001_7^2 - 825/304*c_1001_7 + 251/304, c_0101_10 + 1325/9728*c_1001_7^5 - 2993/4864*c_1001_7^4 + 3013/1216*c_1001_7^3 - 1451/608*c_1001_7^2 + 829/608*c_1001_7 - 117/304, c_0101_2 - 275/4864*c_1001_7^5 + 191/2432*c_1001_7^4 - 269/608*c_1001_7^3 - 461/304*c_1001_7^2 + 33/304*c_1001_7 - 89/152, c_0101_7 - 275/9728*c_1001_7^5 + 191/4864*c_1001_7^4 - 269/1216*c_1001_7^3 - 461/608*c_1001_7^2 - 119/608*c_1001_7 - 89/304, c_1001_0 + 1025/4864*c_1001_7^5 - 1921/2432*c_1001_7^4 + 1925/608*c_1001_7^3 - 121/76*c_1001_7^2 + 257/304*c_1001_7 - 183/152, c_1001_4 - 225/2432*c_1001_7^5 + 2741/4864*c_1001_7^4 - 683/304*c_1001_7^3 + 2521/608*c_1001_7^2 - 429/152*c_1001_7 + 429/304, c_1001_7^6 - 112/25*c_1001_7^5 + 92/5*c_1001_7^4 - 512/25*c_1001_7^3 + 432/25*c_1001_7^2 - 256/25*c_1001_7 + 64/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB