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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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Results (17 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-639-639.283-c0-0-0 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $0.0$ 0 ✓ ✓ $0.126$ $0$ $0.740883$ Modular form 639.1.g.b.283.2
2-639-639.283-c0-0-1 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $0.0$ 0 ✓ ✓ $-0.444$ $0$ $0.999886$ Artin representation 2.639.6t5.b.a Modular form 639.1.g.a.283.1
2-639-639.283-c0-0-2 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $0.0$ 0 ✓ ✓ $0.269$ $0$ $1.63923$ Modular form 639.1.g.b.283.1
2-639-639.283-c0-0-3 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $0.0$ 0 ✓ ✓ $-0.0158$ $0$ $1.73298$ Modular form 639.1.g.b.283.4
2-639-639.283-c0-0-4 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $0.0$ 0 ✓ ✓ $-0.158$ $0$ $1.84458$ Modular form 639.1.g.b.283.5
2-639-639.283-c0-0-5 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $0.0$ 0 ✓ ✓ $-0.301$ $0$ $1.93465$ Modular form 639.1.g.b.283.6
2-639-639.283-c0-0-6 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.283 $0.0$ 0 ✓ ✓ $0.412$ $0$ $2.63612$ Modular form 639.1.g.b.283.3
2-639-639.70-c0-0-0 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $0.0$ 0 ✓ ✓ $-0.412$ $0$ $1.09738$ Modular form 639.1.g.b.70.3
2-639-639.70-c0-0-1 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $0.0$ 0 ✓ ✓ $-0.269$ $0$ $1.27675$ Modular form 639.1.g.b.70.1
2-639-639.70-c0-0-2 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $0.0$ 0 ✓ ✓ $-0.126$ $0$ $1.29180$ Modular form 639.1.g.b.70.2
2-639-639.70-c0-0-3 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $0.0$ 0 ✓ ✓ $0.158$ $0$ $1.55872$ Modular form 639.1.g.b.70.5
2-639-639.70-c0-0-4 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $0.0$ 0 ✓ ✓ $0.0158$ $0$ $1.98466$ Modular form 639.1.g.b.70.4
2-639-639.70-c0-0-5 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $0.0$ 0 ✓ ✓ $0.301$ $0$ $2.58020$ Modular form 639.1.g.b.70.6
2-639-639.70-c0-0-6 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 639.70 $0.0$ 0 ✓ ✓ $0.444$ $0$ $2.81768$ Artin representation 2.639.6t5.b.b Modular form 639.1.g.a.70.1
2-639-71.70-c0-0-0 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 71.70 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.26584$ Modular form 639.1.d.a.496.1
2-639-71.70-c0-0-1 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 71.70 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.77073$ Modular form 639.1.d.a.496.2
2-639-71.70-c0-0-2 $0.564$ $0.318$ $2$ $3^{2} \cdot 71$ 71.70 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.28751$ Modular form 639.1.d.a.496.3
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