Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 3035965899] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2964 geometric_solution 6.14823508 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 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 0.446779972771 0.330677002094 0 3 0 3 0132 0132 2310 2310 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 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 -0.446078834833 1.070291962570 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.107141192396 0.739614960476 1 1 6 5 3201 0132 0132 3012 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.191834136439 1.324265616868 2 6 5 6 0132 3120 1302 1302 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740513402397 0.779792748733 4 6 3 2 2031 3012 1230 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.458014997032 0.763747861927 5 4 4 3 1230 3120 2031 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 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 0.359659444322 0.674306393944 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 13/12*c_0101_5 + 35/18, c_0011_0 - 1, c_0011_2 + 1/2*c_0101_5, c_0011_5 + 1/2*c_0101_5, c_0011_6 - 1/2*c_0101_5 - 1, c_0101_1 - 1/2*c_0101_5 - 1, c_0101_2 + 1, c_0101_5^2 + 2/3*c_0101_5 + 4/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 113567/9058*c_0101_5^11 + 100312/4529*c_0101_5^10 - 300147/9058*c_0101_5^9 + 1002567/9058*c_0101_5^8 + 34387/1294*c_0101_5^7 + 1273151/9058*c_0101_5^6 - 41831/4529*c_0101_5^5 - 729618/4529*c_0101_5^4 - 468235/4529*c_0101_5^3 - 192877/1294*c_0101_5^2 - 262378/4529*c_0101_5 - 303959/9058, c_0011_0 - 1, c_0011_2 - 137/1294*c_0101_5^11 - 127/2588*c_0101_5^10 + 851/2588*c_0101_5^9 - 257/2588*c_0101_5^8 + 7837/2588*c_0101_5^7 - 941/2588*c_0101_5^6 + 7597/2588*c_0101_5^5 - 2713/647*c_0101_5^4 - 7905/2588*c_0101_5^3 - 2797/2588*c_0101_5^2 - 4617/2588*c_0101_5 + 463/1294, c_0011_5 + 831/2588*c_0101_5^11 - 484/647*c_0101_5^10 + 1183/1294*c_0101_5^9 - 1657/647*c_0101_5^8 - 272/647*c_0101_5^7 + 179/1294*c_0101_5^6 - 941/2588*c_0101_5^5 + 19231/2588*c_0101_5^4 - 4595/1294*c_0101_5^3 + 309/647*c_0101_5^2 + 2189/2588*c_0101_5 - 1893/1294, c_0011_6 - 465/647*c_0101_5^11 + 1543/1294*c_0101_5^10 - 2127/1294*c_0101_5^9 + 7789/1294*c_0101_5^8 + 2883/1294*c_0101_5^7 + 9935/1294*c_0101_5^6 - 1313/1294*c_0101_5^5 - 6204/647*c_0101_5^4 - 10585/1294*c_0101_5^3 - 7935/1294*c_0101_5^2 - 4601/1294*c_0101_5 - 974/647, c_0101_1 + 1, c_0101_2 - 465/647*c_0101_5^11 + 1543/1294*c_0101_5^10 - 2127/1294*c_0101_5^9 + 7789/1294*c_0101_5^8 + 2883/1294*c_0101_5^7 + 9935/1294*c_0101_5^6 - 1313/1294*c_0101_5^5 - 6204/647*c_0101_5^4 - 10585/1294*c_0101_5^3 - 7935/1294*c_0101_5^2 - 4601/1294*c_0101_5 - 974/647, c_0101_5^12 - 2*c_0101_5^11 + 3*c_0101_5^10 - 9*c_0101_5^9 - c_0101_5^8 - 9*c_0101_5^7 + 14*c_0101_5^5 + 2*c_0101_5^4 + 11*c_0101_5^3 + 6*c_0101_5^2 + c_0101_5 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB