Gravitational Lensing of Charged Ayon-Beato-Garcia Black Holes and Nonlinear Effects of Maxwell Fields

Table 1

Numerical major real roots of the photon sphere equations (26) and (28) for .

,,	, ,	, ,	, ,
0.00, 3.000, 3.000	0.25, 2.892, 2.874	0.50, 2.547, 2.645	0.75, -, 2.326
0.01, 2.999, 2.950	0.26, 2.887, 2.871	0.51, 2.528, 2.640	0.76, -, 2.320
0.02, 2.994, 2.947	0.27, 2.882, 2.865	0.52, 2.508, 2.630	0.77, -, 2.326
0.03, 2.989, 2.947	0.28, 2.872, 2.855	0.53, 2.475, 2.621	0.78, -, 2.329
0.04, 2.989, 2.947	0.29, 2.858, 2.852	0.54, 2.455, 2.609	0.79, -, 2.335
0.05, 2.989, 2.944	0.30, 2.848, 2.843	0.55, 2.431, 2.594	0.80, -, 2.344
0.06, 2.989, 2.943	0.31, 2.838, 2.831	0.56, 2.397, 2.578	0.81, -, 2.350
0.07, 2.984, 2.942	0.32, 2.828, 2.828	0.57, 2.378, 2.560	0.82, -, 2.362
0.08, 2.980, 2.941	0.33, 2.824, 2.819	0.58, 2.334, 2.530	0.83, -, 2.377
0.09, 2.980, 2.938	0.34, 2.809, 2.813	0.59, 2.300, 2.514	0.84, -, 2.393
0.10, 2.975, 2.935	0.35, 2.795, 2.804	0.60, 2.271, 2.508	0.85, -, 2.408
0.11, 2.974, 2.935	0.36, 2.785, 2.795	0.61, 2.227, 2.478	0.86, -, 2.429
0.12, 2.974, 2.935	0.37, 2.770, 2.785	0.62, 2.193, 2.469	0.87, -, 2.451
0.13, 2.964, 2.932	0.38, 2.756, 2.776	0.63, 2.150, 2.460	0.88, -, 2.475
0.14, 2.959, 2.928	0.39, 2.736, 2.767	0.64, 2.106, 2.441	0.89, -, 2.487
0.15, 2.955, 2.925	0.40, 2.722, 2.758	0.65, 2.058, 2.429	0.90, -, 2.514
0.16, 2.950, 2.919	0.41, 2.707, 2.749	0.66, 1.990, 2.411	0.91, -, 2.542
0.17, 2.945, 2.916	0.42, 2.698, 2.740	0.67, 1.902, 2.399	0.92, -, 2.566
0.18, 2.940, 2.913	0.43, 2.678, 2.731	0.68, 1.819, 2.384	0.93, -, 2.591
0.19, 2.935, 2.910	0.44, 2.659, 2.718	0.69, 1.645, 2.374	0.94, -, 2.612
0.20, 2.930, 2.904	0.45, 2.654, 2.706	0.70, -, 2.362	0.95, -, 2.636
0.21, 2.921, 2.989	0.46, 2.630, 2.694	0.71, -, 2.350	0.96, -, 2.670
0.22, 2.916, 2.895	0.47, 2.601, 2.685	0.72, -, 2.344	0.97, -, 2.703
0.23, 2.906, 2.889	0.48, 2.591, 2.670	0.73, -, 2.338	0.98, -, 2.734
0.24, 2.901, 2.883	0.49, 2.557, 2.658	0.74, -, 2.335	0.99, -, 2.764