Magma V2.19-8 Tue Aug 20 2013 17:56:05 on localhost [Seed = 2749502564] Type ? for help. Type -D to quit. Loading file "11_291__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_291 geometric_solution 8.77076855 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 0 0 -1 1 0 0 0 0 -1 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216494172283 0.484930329556 0 5 3 6 0132 0132 0213 0132 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 0 0 0 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569182515544 0.882626413622 7 0 8 4 0132 0132 0132 2310 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 4 -5 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.094772045410 1.170434820520 7 1 9 0 2031 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.090464307879 0.900459403485 2 7 0 6 3201 1302 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.709819065638 1.447930671609 7 1 9 8 1023 0132 1023 3012 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555244193252 0.549703391934 8 9 1 4 1302 1023 0132 2103 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 1 0 0 -1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661736932290 0.563482820704 2 5 3 4 0132 1023 1302 2031 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 0 0 0 0 0 0 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.256191952196 1.937332769058 9 6 5 2 1230 2031 1230 0132 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 -4 5 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669955757380 1.169008915445 6 8 5 3 1023 3012 1023 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.458880433609 0.524309339128 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : negation(d['c_0110_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_0110_6']), 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_0011_6'], '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_6'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_3, c_0101_8, c_0101_9, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 185125423/323807*c_0110_6^6 - 683488715/323807*c_0110_6^5 + 1213428795/323807*c_0110_6^4 + 271305336/323807*c_0110_6^3 + 353140680/29437*c_0110_6^2 + 828811602/323807*c_0110_6 + 2943302618/323807, c_0011_0 - 1, c_0011_3 - 1, c_0011_4 - 20/29437*c_0110_6^6 + 1872/29437*c_0110_6^5 - 4836/29437*c_0110_6^4 + 2354/29437*c_0110_6^3 + 27671/29437*c_0110_6^2 + 18322/29437*c_0110_6 + 5781/29437, c_0011_6 + 921/29437*c_0110_6^6 - 3782/29437*c_0110_6^5 + 4864/29437*c_0110_6^4 + 12290/29437*c_0110_6^3 - 4043/29437*c_0110_6^2 - 10661/29437*c_0110_6 - 11585/29437, c_0011_8 + 1699/29437*c_0110_6^6 - 5954/29437*c_0110_6^5 + 10475/29437*c_0110_6^4 + 3143/29437*c_0110_6^3 + 29330/29437*c_0110_6^2 + 24313/29437*c_0110_6 + 19636/29437, c_0101_3 + 911/29437*c_0110_6^6 - 2846/29437*c_0110_6^5 + 2446/29437*c_0110_6^4 + 13467/29437*c_0110_6^3 - 4926/29437*c_0110_6^2 - 1500/29437*c_0110_6 + 6024/29437, c_0101_8 - 1709/29437*c_0110_6^6 + 6890/29437*c_0110_6^5 - 12893/29437*c_0110_6^4 - 1966/29437*c_0110_6^3 - 30213/29437*c_0110_6^2 + 14285/29437*c_0110_6 - 2027/29437, c_0101_9 + 901/29437*c_0110_6^6 - 1910/29437*c_0110_6^5 + 28/29437*c_0110_6^4 + 14644/29437*c_0110_6^3 + 23628/29437*c_0110_6^2 + 37098/29437*c_0110_6 + 23633/29437, c_0110_4 + 891/29437*c_0110_6^6 - 974/29437*c_0110_6^5 - 2390/29437*c_0110_6^4 + 15821/29437*c_0110_6^3 + 22745/29437*c_0110_6^2 + 46259/29437*c_0110_6 + 11805/29437, c_0110_6^7 - 3*c_0110_6^6 + 4*c_0110_6^5 + 6*c_0110_6^4 + 22*c_0110_6^3 + 19*c_0110_6^2 + 19*c_0110_6 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB