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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-1412-1412.1015-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1015 | $0.0$ | 0 | ✓ | ✓ | $0.495$ | $0$ | $2.69201$ | Modular form 1412.1.s.a.1015.1 | |||
| 2-1412-1412.1027-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1027 | $0.0$ | 0 | ✓ | ✓ | $0.0784$ | $0$ | $1.18218$ | Modular form 1412.1.s.a.1027.1 | |||
| 2-1412-1412.1043-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1043 | $0.0$ | 0 | ✓ | ✓ | $-0.00554$ | $0$ | $1.01724$ | Modular form 1412.1.m.a.1043.1 | |||
| 2-1412-1412.1051-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1051 | $0.0$ | 0 | ✓ | ✓ | $-0.280$ | $0$ | $1.39281$ | Modular form 1412.1.s.a.1051.1 | |||
| 2-1412-1412.1055-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1055 | $0.0$ | 0 | ✓ | ✓ | $0.227$ | $0$ | $1.67789$ | Modular form 1412.1.r.a.1055.1 | |||
| 2-1412-1412.1063-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1063 | $0.0$ | 0 | ✓ | ✓ | $-0.261$ | $0$ | $0.610722$ | Modular form 1412.1.r.a.1063.1 | |||
| 2-1412-1412.1067-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1067 | $0.0$ | 0 | ✓ | ✓ | $-0.495$ | $0$ | $0.472632$ | Modular form 1412.1.s.a.1067.1 | |||
| 2-1412-1412.1075-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1075 | $0.0$ | 0 | ✓ | ✓ | $0.329$ | $0$ | $2.03231$ | Modular form 1412.1.l.a.1075.1 | |||
| 2-1412-1412.1091-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1091 | $0.0$ | 0 | ✓ | ✓ | $0.0583$ | $0$ | $1.36383$ | Modular form 1412.1.s.a.1091.1 | |||
| 2-1412-1412.11-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.11 | $0.0$ | 0 | ✓ | ✓ | $-0.0784$ | $0$ | $1.05404$ | Modular form 1412.1.s.a.11.1 | |||
| 2-1412-1412.1103-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1103 | $0.0$ | 0 | ✓ | ✓ | $0.280$ | $0$ | $2.15513$ | Modular form 1412.1.s.a.1103.1 | |||
| 2-1412-1412.111-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.111 | $0.0$ | 0 | ✓ | ✓ | $0.0802$ | $0$ | $1.12113$ | Modular form 1412.1.s.a.111.1 | |||
| 2-1412-1412.1123-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1123 | $0.0$ | 0 | ✓ | ✓ | $-0.230$ | $0$ | $1.11736$ | Modular form 1412.1.r.a.1123.1 | |||
| 2-1412-1412.1127-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1127 | $0.0$ | 0 | ✓ | ✓ | $-0.0583$ | $0$ | $1.72657$ | Modular form 1412.1.s.a.1127.1 | |||
| 2-1412-1412.1143-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1143 | $0.0$ | 0 | ✓ | ✓ | $-0.0821$ | $0$ | $1.68590$ | Modular form 1412.1.s.a.1143.1 | |||
| 2-1412-1412.1147-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1147 | $0.0$ | 0 | ✓ | ✓ | $-0.227$ | $0$ | $0.552175$ | Modular form 1412.1.r.a.1147.1 | |||
| 2-1412-1412.1175-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1175 | $0.0$ | 0 | ✓ | ✓ | $0.158$ | $0$ | $1.44321$ | Modular form 1412.1.h.a.1175.1 | |||
| 2-1412-1412.1187-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1187 | $0.0$ | 0 | ✓ | ✓ | $-0.0791$ | $0$ | $1.03894$ | Modular form 1412.1.s.a.1187.1 | |||
| 2-1412-1412.1195-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1195 | $0.0$ | 0 | ✓ | ✓ | $0.162$ | $0$ | $0.994750$ | Modular form 1412.1.l.a.1195.1 | |||
| 2-1412-1412.1199-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1199 | $0.0$ | 0 | ✓ | ✓ | $-0.227$ | $0$ | $0.784499$ | Modular form 1412.1.m.a.1199.1 | |||
| 2-1412-1412.1227-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1227 | $0.0$ | 0 | ✓ | ✓ | $0.222$ | $0$ | $1.93016$ | Modular form 1412.1.l.a.1227.1 | |||
| 2-1412-1412.1235-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1235 | $0.0$ | 0 | ✓ | ✓ | $-0.427$ | $0$ | $0.900717$ | Modular form 1412.1.s.a.1235.1 | |||
| 2-1412-1412.1291-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1291 | $0.0$ | 0 | ✓ | ✓ | $0.0865$ | $0$ | $1.62795$ | Modular form 1412.1.r.a.1291.1 | |||
| 2-1412-1412.1303-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1303 | $0.0$ | 0 | ✓ | ✓ | $0.0583$ | $0$ | $1.93101$ | Modular form 1412.1.s.a.1303.1 | |||
| 2-1412-1412.131-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.131 | $0.0$ | 0 | ✓ | ✓ | $-0.0514$ | $0$ | $1.14292$ | Modular form 1412.1.m.a.131.1 | |||
| 2-1412-1412.1315-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1315 | $0.0$ | 0 | ✓ | ✓ | $0.0514$ | $0$ | $0.986514$ | Modular form 1412.1.m.a.1315.1 | |||
| 2-1412-1412.1331-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1331 | $0.0$ | 0 | ✓ | ✓ | $0.0796$ | $0$ | $1.07223$ | Modular form 1412.1.s.a.1331.1 | |||
| 2-1412-1412.1339-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1339 | $0.0$ | 0 | ✓ | ✓ | $-0.282$ | $0$ | $1.27332$ | Modular form 1412.1.s.a.1339.1 | |||
| 2-1412-1412.135-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.135 | $0.0$ | 0 | ✓ | ✓ | $0.226$ | $0$ | $1.67912$ | Modular form 1412.1.r.a.135.1 | |||
| 2-1412-1412.1351-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1351 | $0.0$ | 0 | ✓ | ✓ | $0.141$ | $0$ | $1.31610$ | Modular form 1412.1.s.a.1351.1 | |||
| 2-1412-1412.1383-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1383 | $0.0$ | 0 | ✓ | ✓ | $0.308$ | $0$ | $1.88258$ | Modular form 1412.1.s.a.1383.1 | |||
| 2-1412-1412.1391-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1391 | $0.0$ | 0 | ✓ | ✓ | $0.0821$ | $0$ | $1.25842$ | Modular form 1412.1.s.a.1391.1 | |||
| 2-1412-1412.1395-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1395 | $0.0$ | 0 | ✓ | ✓ | $-0.315$ | $0$ | $0.511357$ | Modular form 1412.1.s.a.1395.1 | |||
| 2-1412-1412.1411-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1411 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $0.747611$ | Modular form 1412.1.d.c.1411.2 | ||
| 2-1412-1412.1411-c0-0-1 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1411 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $0.896710$ | Modular form 1412.1.d.c.1411.1 | ||
| 2-1412-1412.1411-c0-0-2 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1411 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.41884$ | Artin representation 2.1412.8t6.a.b Modular form 1412.1.d.b.1411.1 | ||
| 2-1412-1412.1411-c0-0-3 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1411 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.45030$ | Modular form 1412.1.d.c.1411.3 | ||
| 2-1412-1412.1411-c0-0-4 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1411 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $1.52628$ | Modular form 1412.1.d.c.1411.4 | ||
| 2-1412-1412.1411-c0-0-5 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1411 | $0.0$ | 0 | ✓ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.63775$ | Artin representation 2.1412.4t3.c Artin representation 2.1412.4t3.c.a Modular form 1412.1.d.a Modular form 1412.1.d.a.1411.1 | |
| 2-1412-1412.1411-c0-0-6 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.1411 | $0.0$ | 0 | ✓ | ✓ | ✓ | $0$ | $0$ | $2.08606$ | Artin representation 2.1412.8t6.a.a Modular form 1412.1.d.b.1411.2 | ||
| 2-1412-1412.159-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.159 | $0.0$ | 0 | ✓ | ✓ | $-0.0310$ | $0$ | $1.42049$ | Modular form 1412.1.s.a.159.1 | |||
| 2-1412-1412.171-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.171 | $0.0$ | 0 | ✓ | ✓ | $0.230$ | $0$ | $1.36508$ | Modular form 1412.1.r.a.171.1 | |||
| 2-1412-1412.187-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.187 | $0.0$ | 0 | ✓ | ✓ | $-0.408$ | $0$ | $0.696925$ | Modular form 1412.1.m.a.187.1 | |||
| 2-1412-1412.191-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.191 | $0.0$ | 0 | ✓ | ✓ | $-0.210$ | $0$ | $1.44154$ | Modular form 1412.1.r.a.191.1 | |||
| 2-1412-1412.207-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.207 | $0.0$ | 0 | ✓ | ✓ | $0.210$ | $0$ | $1.80129$ | Modular form 1412.1.r.a.207.1 | |||
| 2-1412-1412.231-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.231 | $0.0$ | 0 | ✓ | ✓ | $0.481$ | $0$ | $0.541554$ | Modular form 1412.1.m.a.231.1 | |||
| 2-1412-1412.283-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.283 | $0.0$ | 0 | ✓ | ✓ | $-0.0560$ | $0$ | $0.697847$ | Modular form 1412.1.h.a.283.1 | |||
| 2-1412-1412.295-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.295 | $0.0$ | 0 | ✓ | ✓ | $-0.453$ | $0$ | $2.20307$ | Modular form 1412.1.l.a.295.1 | |||
| 2-1412-1412.311-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.311 | $0.0$ | 0 | ✓ | ✓ | $-0.214$ | $0$ | $0.923529$ | Modular form 1412.1.e.a.311.1 | |||
| 2-1412-1412.319-c0-0-0 | $0.839$ | $0.704$ | $2$ | $2^{2} \cdot 353$ | 1412.319 | $0.0$ | 0 | ✓ | ✓ | $0.474$ | $0$ | $0.285868$ | Modular form 1412.1.r.a.319.1 |