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Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
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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
2-538-1.1-c1-0-0 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.931043$ Modular form 538.2.a.e.1.2
2-538-1.1-c1-0-1 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.963312$ Modular form 538.2.a.c.1.1
2-538-1.1-c1-0-10 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.73496$ Modular form 538.2.a.d.1.3
2-538-1.1-c1-0-11 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.79846$ Modular form 538.2.a.b.1.2
2-538-1.1-c1-0-12 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.86331$ Modular form 538.2.a.e.1.5
2-538-1.1-c1-0-13 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.94268$ Modular form 538.2.a.e.1.3
2-538-1.1-c1-0-14 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.06266$ Modular form 538.2.a.d.1.5
2-538-1.1-c1-0-15 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.07082$ Modular form 538.2.a.e.1.6
2-538-1.1-c1-0-16 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.20527$ Modular form 538.2.a.d.1.4
2-538-1.1-c1-0-17 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.23723$ Modular form 538.2.a.e.1.7
2-538-1.1-c1-0-18 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.25944$ Modular form 538.2.a.d.1.6
2-538-1.1-c1-0-19 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.34630$ Modular form 538.2.a.a.1.1
2-538-1.1-c1-0-2 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.02463$ Modular form 538.2.a.c.1.2
2-538-1.1-c1-0-20 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.39138$ Modular form 538.2.a.d.1.7
2-538-1.1-c1-0-21 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.81533$ Modular form 538.2.a.a.1.2
2-538-1.1-c1-0-3 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.22534$ Modular form 538.2.a.e.1.1
2-538-1.1-c1-0-4 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.40560$ Modular form 538.2.a.d.1.1
2-538-1.1-c1-0-5 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.42553$ Modular form 538.2.a.b.1.1
2-538-1.1-c1-0-6 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.58299$ Modular form 538.2.a.e.1.4
2-538-1.1-c1-0-7 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.58602$ Modular form 538.2.a.c.1.3
2-538-1.1-c1-0-8 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.64938$ Modular form 538.2.a.d.1.2
2-538-1.1-c1-0-9 $2.07$ $4.29$ $2$ $2 \cdot 269$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.71212$ Modular form 538.2.a.c.1.4
2-538-269.100-c1-0-0 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.257$ $0$ $0.0857067$ Modular form 538.2.e.a.369.17
2-538-269.100-c1-0-1 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.442$ $0$ $0.101929$ Modular form 538.2.e.a.369.3
2-538-269.100-c1-0-10 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.324$ $0$ $1.07895$ Modular form 538.2.e.a.369.9
2-538-269.100-c1-0-11 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.214$ $0$ $1.08139$ Modular form 538.2.e.a.369.13
2-538-269.100-c1-0-12 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.110$ $0$ $1.17886$ Modular form 538.2.e.a.369.2
2-538-269.100-c1-0-13 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.0447$ $0$ $1.49435$ Modular form 538.2.e.a.369.5
2-538-269.100-c1-0-14 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.303$ $0$ $1.56336$ Modular form 538.2.e.a.369.16
2-538-269.100-c1-0-15 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.0920$ $0$ $1.65664$ Modular form 538.2.e.a.369.10
2-538-269.100-c1-0-16 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.0660$ $0$ $1.81495$ Modular form 538.2.e.a.369.11
2-538-269.100-c1-0-17 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.0368$ $0$ $1.91111$ Modular form 538.2.e.a.369.7
2-538-269.100-c1-0-18 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.149$ $0$ $1.91215$ Modular form 538.2.e.a.369.22
2-538-269.100-c1-0-19 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.394$ $0$ $2.20445$ Modular form 538.2.e.a.369.12
2-538-269.100-c1-0-2 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.273$ $0$ $0.313928$ Modular form 538.2.e.a.369.19
2-538-269.100-c1-0-20 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.285$ $0$ $2.21887$ Modular form 538.2.e.a.369.21
2-538-269.100-c1-0-21 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.486$ $0$ $2.62054$ Modular form 538.2.e.a.369.18
2-538-269.100-c1-0-3 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.452$ $0$ $0.352665$ Modular form 538.2.e.a.369.8
2-538-269.100-c1-0-4 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.225$ $0$ $0.433372$ Modular form 538.2.e.a.369.15
2-538-269.100-c1-0-5 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.429$ $0$ $0.569032$ Modular form 538.2.e.a.369.6
2-538-269.100-c1-0-6 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.340$ $0$ $0.594458$ Modular form 538.2.e.a.369.1
2-538-269.100-c1-0-7 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $0.0566$ $0$ $0.745014$ Modular form 538.2.e.a.369.14
2-538-269.100-c1-0-8 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.0878$ $0$ $0.974130$ Modular form 538.2.e.a.369.20
2-538-269.100-c1-0-9 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.100 $1.0$ $1$ ✓ ✓ $-0.0467$ $0$ $1.04528$ Modular form 538.2.e.a.369.4
2-538-269.103-c1-0-0 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.103 $1.0$ $1$ ✓ ✓ $-0.412$ $0$ $0.0624852$ Modular form 538.2.e.a.103.7
2-538-269.103-c1-0-1 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.103 $1.0$ $1$ ✓ ✓ $-0.473$ $0$ $0.216383$ Modular form 538.2.e.a.103.10
2-538-269.103-c1-0-10 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.103 $1.0$ $1$ ✓ ✓ $-0.483$ $0$ $1.33489$ Modular form 538.2.e.a.103.22
2-538-269.103-c1-0-11 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.103 $1.0$ $1$ ✓ ✓ $-0.00316$ $0$ $1.34851$ Modular form 538.2.e.a.103.6
2-538-269.103-c1-0-12 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.103 $1.0$ $1$ ✓ ✓ $-0.266$ $0$ $1.36691$ Modular form 538.2.e.a.103.18
2-538-269.103-c1-0-13 $2.07$ $4.29$ $2$ $2 \cdot 269$ 269.103 $1.0$ $1$ ✓ ✓ $0.251$ $0$ $1.44942$ Modular form 538.2.e.a.103.5
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