| Label | $\alpha$ | $A$ | $d$ | $N$ | $\chi$ | $\mu$ | $\nu$ | $w$ | prim | arith | $\mathbb{Q}$ | self-dual | $\operatorname{Arg}(\epsilon)$ | $r$ | First zero | Origin | 
      
      
              | 1-2668-2668.1007-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1007 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.498$ | $0$ | $1.34685$ | Character $\chi_{2668}(1007, \cdot)$ | 
      
              | 1-2668-2668.1011-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1011 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.357$ | $0$ | $1.23801$ | Character $\chi_{2668}(1011, \cdot)$ | 
      
              | 1-2668-2668.1019-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1019 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.338$ | $0$ | $1.06412$ | Character $\chi_{2668}(1019, \cdot)$ | 
      
              | 1-2668-2668.103-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.103 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.260$ | $0$ | $0.747364$ | Character $\chi_{2668}(103, \cdot)$ | 
      
              | 1-2668-2668.1031-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1031 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.163$ | $0$ | $1.20954$ | Character $\chi_{2668}(1031, \cdot)$ | 
      
              | 1-2668-2668.1047-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1047 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.182$ | $0$ | $1.26584$ | Character $\chi_{2668}(1047, \cdot)$ | 
      
              | 1-2668-2668.107-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.107 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.481$ | $0$ | $1.29577$ | Character $\chi_{2668}(107, \cdot)$ | 
      
              | 1-2668-2668.1071-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1071 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.495$ | $0$ | $0.945252$ | Character $\chi_{2668}(1071, \cdot)$ | 
      
              | 1-2668-2668.1079-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1079 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.395$ | $0$ | $1.59390$ | Character $\chi_{2668}(1079, \cdot)$ | 
      
              | 1-2668-2668.1083-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1083 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.182$ | $0$ | $1.40520$ | Character $\chi_{2668}(1083, \cdot)$ | 
      
              | 1-2668-2668.1087-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1087 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.330$ | $0$ | $0.538741$ | Character $\chi_{2668}(1087, \cdot)$ | 
      
              | 1-2668-2668.1095-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1095 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.245$ | $0$ | $0.870143$ | Character $\chi_{2668}(1095, \cdot)$ | 
      
              | 1-2668-2668.1099-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1099 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.0596$ | $0$ | $0.680446$ | Character $\chi_{2668}(1099, \cdot)$ | 
      
              | 1-2668-2668.111-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.111 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.373$ | $0$ | $0.774997$ | Character $\chi_{2668}(111, \cdot)$ | 
      
              | 1-2668-2668.1111-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1111 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.432$ | $0$ | $1.49186$ | Character $\chi_{2668}(1111, \cdot)$ | 
      
              | 1-2668-2668.1115-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1115 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.312$ | $0$ | $1.61131$ | Character $\chi_{2668}(1115, \cdot)$ | 
      
              | 1-2668-2668.1139-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1139 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.485$ | $0$ | $1.32066$ | Character $\chi_{2668}(1139, \cdot)$ | 
      
              | 1-2668-2668.1143-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1143 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.221$ | $0$ | $0.532213$ | Character $\chi_{2668}(1143, \cdot)$ | 
      
              | 1-2668-2668.1147-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1147 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.481$ | $0$ | $0.115930$ | Character $\chi_{2668}(1147, \cdot)$ | 
      
              | 1-2668-2668.1155-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1155 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.282$ | $0$ | $0.459623$ | Character $\chi_{2668}(1155, \cdot)$ | 
      
              | 1-2668-2668.1163-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1163 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.303$ | $0$ | $0.0240011$ | Character $\chi_{2668}(1163, \cdot)$ | 
      
              | 1-2668-2668.1167-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1167 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.291$ | $0$ | $0.696059$ | Character $\chi_{2668}(1167, \cdot)$ | 
      
              | 1-2668-2668.1175-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1175 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.320$ | $0$ | $0.0107065$ | Character $\chi_{2668}(1175, \cdot)$ | 
      
              | 1-2668-2668.1179-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1179 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.000899$ | $0$ | $0.824702$ | Character $\chi_{2668}(1179, \cdot)$ | 
      
              | 1-2668-2668.1183-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1183 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.302$ | $0$ | $0.380901$ | Character $\chi_{2668}(1183, \cdot)$ | 
      
              | 1-2668-2668.119-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.119 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.138$ | $0$ | $0.788262$ | Character $\chi_{2668}(119, \cdot)$ | 
      
              | 1-2668-2668.1191-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1191 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.0600$ | $0$ | $0.180272$ | Character $\chi_{2668}(1191, \cdot)$ | 
      
              | 1-2668-2668.1195-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1195 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.0938$ | $0$ | $0.509808$ | Character $\chi_{2668}(1195, \cdot)$ | 
      
              | 1-2668-2668.1199-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1199 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.239$ | $0$ | $0.261676$ | Character $\chi_{2668}(1199, \cdot)$ | 
      
              | 1-2668-2668.1211-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1211 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.0189$ | $0$ | $0.474721$ | Character $\chi_{2668}(1211, \cdot)$ | 
      
              | 1-2668-2668.1235-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1235 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.282$ | $0$ | $0.297741$ | Character $\chi_{2668}(1235, \cdot)$ | 
      
              | 1-2668-2668.1255-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1255 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.0288$ | $0$ | $0.816183$ | Character $\chi_{2668}(1255, \cdot)$ | 
      
              | 1-2668-2668.1263-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1263 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.280$ | $0$ | $0.462777$ | Character $\chi_{2668}(1263, \cdot)$ | 
      
              | 1-2668-2668.127-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.127 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.0469$ | $0$ | $0.717202$ | Character $\chi_{2668}(127, \cdot)$ | 
      
              | 1-2668-2668.1275-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1275 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.390$ | $0$ | $1.52902$ | Character $\chi_{2668}(1275, \cdot)$ | 
      
              | 1-2668-2668.1291-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1291 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.101$ | $0$ | $1.07996$ | Character $\chi_{2668}(1291, \cdot)$ | 
      
              | 1-2668-2668.1299-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1299 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.182$ | $0$ | $0.686012$ | Character $\chi_{2668}(1299, \cdot)$ | 
      
              | 1-2668-2668.131-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.131 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.165$ | $0$ | $0.454008$ | Character $\chi_{2668}(131, \cdot)$ | 
      
              | 1-2668-2668.1315-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1315 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.0353$ | $0$ | $0.571322$ | Character $\chi_{2668}(1315, \cdot)$ | 
      
              | 1-2668-2668.1319-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1319 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.0562$ | $0$ | $0.270047$ | Character $\chi_{2668}(1319, \cdot)$ | 
      
              | 1-2668-2668.1323-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1323 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.293$ | $0$ | $0.973449$ | Character $\chi_{2668}(1323, \cdot)$ | 
      
              | 1-2668-2668.1339-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1339 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.119$ | $0$ | $0.707500$ | Character $\chi_{2668}(1339, \cdot)$ | 
      
              | 1-2668-2668.1367-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1367 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.119$ | $0$ | $1.21911$ | Character $\chi_{2668}(1367, \cdot)$ | 
      
              | 1-2668-2668.1375-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1375 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.0566$ | $0$ | $1.08984$ | Character $\chi_{2668}(1375, \cdot)$ | 
      
              | 1-2668-2668.1379-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1379 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.229$ | $0$ | $0.674627$ | Character $\chi_{2668}(1379, \cdot)$ | 
      
              | 1-2668-2668.1387-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1387 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.302$ | $0$ | $1.33185$ | Character $\chi_{2668}(1387, \cdot)$ | 
      
              | 1-2668-2668.1391-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1391 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.489$ | $0$ | $1.09722$ | Character $\chi_{2668}(1391, \cdot)$ | 
      
              | 1-2668-2668.1399-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1399 | $0$ |  | 0 | ✓ | ✓ |  |  | $-0.423$ | $0$ | $0.0314350$ | Character $\chi_{2668}(1399, \cdot)$ | 
      
              | 1-2668-2668.1407-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1407 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.173$ | $0$ | $0.566871$ | Character $\chi_{2668}(1407, \cdot)$ | 
      
              | 1-2668-2668.1411-r0-0-0 | $12.3$ | $12.3$ | $1$ | $2^{2} \cdot 23 \cdot 29$ | 2668.1411 | $0$ |  | 0 | ✓ | ✓ |  |  | $0.273$ | $0$ | $0.641743$ | Character $\chi_{2668}(1411, \cdot)$ |