| Label | $\alpha$ | $A$ | $d$ | $N$ | $\chi$ | $\mu$ | $\nu$ | $w$ | prim | arith | $\mathbb{Q}$ | self-dual | $\operatorname{Arg}(\epsilon)$ | $r$ | First zero | Origin | 
      
      
              | 1-516-516.119-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.119 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.238$ | $0$ | $0.386171$ | Character $\chi_{516}(119, \cdot)$ | 
      
              | 1-516-516.131-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.131 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.273$ | $0$ | $1.08129$ | Character $\chi_{516}(131, \cdot)$ | 
      
              | 1-516-516.155-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.155 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.202$ | $0$ | $0.575179$ | Character $\chi_{516}(155, \cdot)$ | 
      
              | 1-516-516.179-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.179 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.0970$ | $0$ | $0.757983$ | Character $\chi_{516}(179, \cdot)$ | 
      
              | 1-516-516.191-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.191 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.0737$ | $0$ | $0.808116$ | Character $\chi_{516}(191, \cdot)$ | 
      
              | 1-516-516.227-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.227 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.498$ | $0$ | $1.63863$ | Character $\chi_{516}(227, \cdot)$ | 
      
              | 1-516-516.263-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.263 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.202$ | $0$ | $0.925694$ | Character $\chi_{516}(263, \cdot)$ | 
      
              | 1-516-516.287-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.287 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.482$ | $0$ | $0.0800296$ | Character $\chi_{516}(287, \cdot)$ | 
      
              | 1-516-516.323-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.323 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.273$ | $0$ | $0.270777$ | Character $\chi_{516}(323, \cdot)$ | 
      
              | 1-516-516.335-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.335 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.0737$ | $0$ | $0.511071$ | Character $\chi_{516}(335, \cdot)$ | 
      
              | 1-516-516.347-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.347 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.482$ | $0$ | $1.60892$ | Character $\chi_{516}(347, \cdot)$ | 
      
              | 1-516-516.371-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.371 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.317$ | $0$ | $1.39863$ | Character $\chi_{516}(371, \cdot)$ | 
      
              | 1-516-516.383-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.383 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.409$ | $0$ | $1.62354$ | Character $\chi_{516}(383, \cdot)$ | 
      
              | 1-516-516.395-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.395 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.317$ | $0$ | $0.584285$ | Character $\chi_{516}(395, \cdot)$ | 
      
              | 1-516-516.407-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.407 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.386$ | $0$ | $1.59232$ | Character $\chi_{516}(407, \cdot)$ | 
      
              | 1-516-516.419-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.419 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.409$ | $0$ | $0.299352$ | Character $\chi_{516}(419, \cdot)$ | 
      
              | 1-516-516.467-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.467 | $1$ |  | 0 | ✓ | ✓ |  |  | $-0.0970$ | $0$ | $0.561477$ | Character $\chi_{516}(467, \cdot)$ | 
      
              | 1-516-516.491-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.491 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.498$ | $0$ | $0.352111$ | Character $\chi_{516}(491, \cdot)$ | 
      
              | 1-516-516.503-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.503 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.238$ | $0$ | $1.17774$ | Character $\chi_{516}(503, \cdot)$ | 
      
              | 1-516-516.515-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.515 | $1$ |  | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.12567$ | Character $\chi_{516}(515, \cdot)$ | 
      
              | 1-516-516.71-r1-0-0 | $55.4$ | $55.4$ | $1$ | $2^{2} \cdot 3 \cdot 43$ | 516.71 | $1$ |  | 0 | ✓ | ✓ |  |  | $0.386$ | $0$ | $0.0552365$ | Character $\chi_{516}(71, \cdot)$ |