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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-1840-1840.1437-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1437 $0$ $$ $0$ $-0.157$ $0$ $0.438796$ Dirichlet character \(\chi_{1840} (1437, \cdot) \)
1-1840-1840.1019-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1019 $0$ $$ $0$ $-0.180$ $0$ $0.495662$ Dirichlet character \(\chi_{1840} (1019, \cdot) \)
1-1840-1840.1043-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1043 $0$ $$ $0$ $-0.133$ $0$ $0.448204$ Dirichlet character \(\chi_{1840} (1043, \cdot) \)
1-1840-1840.1067-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1067 $0$ $$ $0$ $-0.159$ $0$ $0.457118$ Dirichlet character \(\chi_{1840} (1067, \cdot) \)
1-1840-1840.1077-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1077 $0$ $$ $0$ $0.0958$ $0$ $0.741197$ Dirichlet character \(\chi_{1840} (1077, \cdot) \)
1-1840-1840.1083-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1083 $0$ $$ $0$ $0.151$ $0$ $1.12159$ Dirichlet character \(\chi_{1840} (1083, \cdot) \)
1-1840-1840.1107-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1107 $0$ $$ $0$ $0.258$ $0$ $1.37283$ Dirichlet character \(\chi_{1840} (1107, \cdot) \)
1-1840-1840.1157-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1157 $0$ $$ $0$ $0.407$ $0$ $1.26523$ Dirichlet character \(\chi_{1840} (1157, \cdot) \)
1-1840-1840.1163-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1163 $0$ $$ $0$ $0.0785$ $0$ $1.07448$ Dirichlet character \(\chi_{1840} (1163, \cdot) \)
1-1840-1840.1189-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1189 $0$ $$ $0$ $0.208$ $0$ $1.36990$ Dirichlet character \(\chi_{1840} (1189, \cdot) \)
1-1840-1840.1213-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1213 $0$ $$ $0$ $-0.0958$ $0$ $0.586824$ Dirichlet character \(\chi_{1840} (1213, \cdot) \)
1-1840-1840.1227-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1227 $0$ $$ $0$ $0.417$ $0$ $1.14467$ Dirichlet character \(\chi_{1840} (1227, \cdot) \)
1-1840-1840.123-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.123 $0$ $$ $0$ $-0.258$ $0$ $0.799090$ Dirichlet character \(\chi_{1840} (123, \cdot) \)
1-1840-1840.1253-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1253 $0$ $$ $0$ $-0.458$ $0$ $0.176591$ Dirichlet character \(\chi_{1840} (1253, \cdot) \)
1-1840-1840.1259-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1259 $0$ $$ $0$ $0.367$ $0$ $0.171013$ Dirichlet character \(\chi_{1840} (1259, \cdot) \)
1-1840-1840.1267-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1267 $0$ $$ $0$ $-0.0474$ $0$ $1.13062$ Dirichlet character \(\chi_{1840} (1267, \cdot) \)
1-1840-1840.1269-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1269 $0$ $$ $0$ $-0.0892$ $0$ $0.489145$ Dirichlet character \(\chi_{1840} (1269, \cdot) \)
1-1840-1840.1283-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1283 $0$ $$ $0$ $0.159$ $0$ $1.25460$ Dirichlet character \(\chi_{1840} (1283, \cdot) \)
1-1840-1840.1293-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1293 $0$ $$ $0$ $0.408$ $0$ $1.53400$ Dirichlet character \(\chi_{1840} (1293, \cdot) \)
1-1840-1840.1299-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1299 $0$ $$ $0$ $-0.245$ $0$ $0.566969$ Dirichlet character \(\chi_{1840} (1299, \cdot) \)
1-1840-1840.1323-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1323 $0$ $$ $0$ $0.0474$ $0$ $1.17865$ Dirichlet character \(\chi_{1840} (1323, \cdot) \)
1-1840-1840.1333-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1333 $0$ $$ $0$ $-0.150$ $0$ $0.866020$ Dirichlet character \(\chi_{1840} (1333, \cdot) \)
1-1840-1840.1339-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1339 $0$ $$ $0$ $-0.127$ $0$ $0.487287$ Dirichlet character \(\chi_{1840} (1339, \cdot) \)
1-1840-1840.1347-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1347 $0$ $$ $0$ $-0.120$ $0$ $0.733041$ Dirichlet character \(\chi_{1840} (1347, \cdot) \)
1-1840-1840.1363-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1363 $0$ $$ $0$ $0.498$ $0$ $1.71040$ Dirichlet character \(\chi_{1840} (1363, \cdot) \)
1-1840-1840.1379-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1379 $0$ $$ $0$ $0.0625$ $0$ $0.787922$ Dirichlet character \(\chi_{1840} (1379, \cdot) \)
1-1840-1840.1389-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1389 $0$ $$ $0$ $-0.122$ $0$ $0.792238$ Dirichlet character \(\chi_{1840} (1389, \cdot) \)
1-1840-1840.1397-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1397 $0$ $$ $0$ $-0.0446$ $0$ $0.975662$ Dirichlet character \(\chi_{1840} (1397, \cdot) \)
1-1840-1840.1413-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1413 $0$ $$ $0$ $-0.0329$ $0$ $0.643633$ Dirichlet character \(\chi_{1840} (1413, \cdot) \)
1-1840-1840.1429-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1429 $0$ $$ $0$ $-0.454$ $0$ $0.440272$ Dirichlet character \(\chi_{1840} (1429, \cdot) \)
1-1840-1840.1459-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1459 $0$ $$ $0$ $0.180$ $0$ $0.809875$ Dirichlet character \(\chi_{1840} (1459, \cdot) \)
1-1840-1840.1467-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1467 $0$ $$ $0$ $-0.288$ $0$ $0.636129$ Dirichlet character \(\chi_{1840} (1467, \cdot) \)
1-1840-1840.147-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.147 $0$ $$ $0$ $-0.0348$ $0$ $0.945933$ Dirichlet character \(\chi_{1840} (147, \cdot) \)
1-1840-1840.1477-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1477 $0$ $$ $0$ $0.460$ $0$ $1.20232$ Dirichlet character \(\chi_{1840} (1477, \cdot) \)
1-1840-1840.1493-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1493 $0$ $$ $0$ $0.157$ $0$ $0.697951$ Dirichlet character \(\chi_{1840} (1493, \cdot) \)
1-1840-1840.1507-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1507 $0$ $$ $0$ $-0.151$ $0$ $0.529927$ Dirichlet character \(\chi_{1840} (1507, \cdot) \)
1-1840-1840.1517-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1517 $0$ $$ $0$ $0.150$ $0$ $1.30483$ Dirichlet character \(\chi_{1840} (1517, \cdot) \)
1-1840-1840.1533-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1533 $0$ $$ $0$ $-0.323$ $0$ $0.591867$ Dirichlet character \(\chi_{1840} (1533, \cdot) \)
1-1840-1840.1539-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1539 $0$ $$ $0$ $0.370$ $0$ $0.204604$ Dirichlet character \(\chi_{1840} (1539, \cdot) \)
1-1840-1840.1547-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1547 $0$ $$ $0$ $0.0523$ $0$ $1.13221$ Dirichlet character \(\chi_{1840} (1547, \cdot) \)
1-1840-1840.1549-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1549 $0$ $$ $0$ $0.454$ $0$ $1.84366$ Dirichlet character \(\chi_{1840} (1549, \cdot) \)
1-1840-1840.157-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.157 $0$ $$ $0$ $-0.279$ $0$ $0.781800$ Dirichlet character \(\chi_{1840} (157, \cdot) \)
1-1840-1840.1579-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1579 $0$ $$ $0$ $0.139$ $0$ $1.08365$ Dirichlet character \(\chi_{1840} (1579, \cdot) \)
1-1840-1840.1589-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1589 $0$ $$ $0$ $0.239$ $0$ $1.26485$ Dirichlet character \(\chi_{1840} (1589, \cdot) \)
1-1840-1840.1597-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1597 $0$ $$ $0$ $0.268$ $0$ $1.13954$ Dirichlet character \(\chi_{1840} (1597, \cdot) \)
1-1840-1840.1603-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1603 $0$ $$ $0$ $0.245$ $0$ $1.04814$ Dirichlet character \(\chi_{1840} (1603, \cdot) \)
1-1840-1840.163-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.163 $0$ $$ $0$ $0.276$ $0$ $0.896516$ Dirichlet character \(\chi_{1840} (163, \cdot) \)
1-1840-1840.1653-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1653 $0$ $$ $0$ $-0.352$ $0$ $0.201119$ Dirichlet character \(\chi_{1840} (1653, \cdot) \)
1-1840-1840.1669-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1669 $0$ $$ $0$ $0.166$ $0$ $1.09726$ Dirichlet character \(\chi_{1840} (1669, \cdot) \)
1-1840-1840.1677-r0-0-0 $8.54$ $8.54$ $1$ $2^{4} \cdot 5 \cdot 23$ 1840.1677 $0$ $$ $0$ $0.458$ $0$ $1.48791$ Dirichlet character \(\chi_{1840} (1677, \cdot) \)
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