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Lowest zero Conductor Analytic conductor Central character Analytic rank
Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
Arithmetic
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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
2-99-1.1-c7-0-0 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.285162$ Modular form 99.8.a.g.1.1
2-99-1.1-c7-0-1 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.444466$ Modular form 99.8.a.i.1.3
2-99-1.1-c7-0-10 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $1.07484$ Modular form 99.8.a.i.1.4
2-99-1.1-c7-0-11 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $1.15820$ Modular form 99.8.a.e.1.2
2-99-1.1-c7-0-12 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.16278$ Modular form 99.8.a.h.1.1
2-99-1.1-c7-0-13 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.18682$ Modular form 99.8.a.f.1.2
2-99-1.1-c7-0-14 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.30087$ Modular form 99.8.a.h.1.2
2-99-1.1-c7-0-15 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.45435$ Modular form 99.8.a.b.1.1
2-99-1.1-c7-0-16 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $1.45799$ Modular form 99.8.a.d.1.2
2-99-1.1-c7-0-17 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.53192$ Modular form 99.8.a.c.1.1
2-99-1.1-c7-0-18 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.62592$ Modular form 99.8.a.h.1.3
2-99-1.1-c7-0-19 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $1.63418$ Modular form 99.8.a.g.1.4
2-99-1.1-c7-0-2 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.458254$ Modular form 99.8.a.i.1.1
2-99-1.1-c7-0-20 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.71678$ Modular form 99.8.a.f.1.3
2-99-1.1-c7-0-21 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.72507$ Modular form 99.8.a.f.1.1
2-99-1.1-c7-0-22 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $1.91655$ Modular form 99.8.a.i.1.5
2-99-1.1-c7-0-23 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $1.93263$ Modular form 99.8.a.h.1.4
2-99-1.1-c7-0-24 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $2.25951$ Modular form 99.8.a.b.1.2
2-99-1.1-c7-0-25 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $2.27040$ Modular form 99.8.a.c.1.2
2-99-1.1-c7-0-26 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $2.38991$ Modular form 99.8.a.h.1.5
2-99-1.1-c7-0-27 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0.5$ $1$ $2.55150$ Modular form 99.8.a.f.1.4
2-99-1.1-c7-0-3 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.494808$ Modular form 99.8.a.d.1.1
2-99-1.1-c7-0-4 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.765324$ Modular form 99.8.a.e.1.3
2-99-1.1-c7-0-5 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.775752$ Modular form 99.8.a.g.1.2
2-99-1.1-c7-0-6 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ ✓ $0$ $0$ $0.823253$ Modular form 99.8.a.a Modular form 99.8.a.a.1.1
2-99-1.1-c7-0-7 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.830656$ Modular form 99.8.a.g.1.3
2-99-1.1-c7-0-8 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.870290$ Modular form 99.8.a.i.1.2
2-99-1.1-c7-0-9 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 1.1 $7.0$ $7$ ✓ ✓ ✓ $0$ $0$ $0.961508$ Modular form 99.8.a.e.1.1
2-99-11.3-c7-0-0 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.360$ $0$ $0.0487916$ Modular form 99.8.f.a.91.4
2-99-11.3-c7-0-1 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.496$ $0$ $0.106807$ Modular form 99.8.f.a.91.2
2-99-11.3-c7-0-10 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $-0.386$ $0$ $0.541812$ Modular form 99.8.f.d.91.9
2-99-11.3-c7-0-11 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $-0.0920$ $0$ $0.543978$ Modular form 99.8.f.b.91.4
2-99-11.3-c7-0-12 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.437$ $0$ $0.556044$ Modular form 99.8.f.c.91.2
2-99-11.3-c7-0-13 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.113$ $0$ $0.656298$ Modular form 99.8.f.d.91.6
2-99-11.3-c7-0-14 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $-0.335$ $0$ $0.717103$ Modular form 99.8.f.b.91.1
2-99-11.3-c7-0-15 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $-0.166$ $0$ $0.854711$ Modular form 99.8.f.d.91.5
2-99-11.3-c7-0-16 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $-0.0233$ $0$ $0.869791$ Modular form 99.8.f.d.91.1
2-99-11.3-c7-0-17 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $-0.0162$ $0$ $0.875315$ Modular form 99.8.f.d.91.13
2-99-11.3-c7-0-18 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.00818$ $0$ $1.03511$ Modular form 99.8.f.a.91.5
2-99-11.3-c7-0-19 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.101$ $0$ $1.03716$ Modular form 99.8.f.c.91.6
2-99-11.3-c7-0-2 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.371$ $0$ $0.168225$ Modular form 99.8.f.d.91.3
2-99-11.3-c7-0-20 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.0500$ $0$ $1.05090$ Modular form 99.8.f.b.91.3
2-99-11.3-c7-0-21 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.0138$ $0$ $1.18280$ Modular form 99.8.f.d.91.11
2-99-11.3-c7-0-22 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.350$ $0$ $1.18439$ Modular form 99.8.f.b.91.2
2-99-11.3-c7-0-23 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.187$ $0$ $1.22448$ Modular form 99.8.f.d.91.7
2-99-11.3-c7-0-24 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.260$ $0$ $1.29269$ Modular form 99.8.f.c.91.4
2-99-11.3-c7-0-25 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $-0.00952$ $0$ $1.30735$ Modular form 99.8.f.a.91.3
2-99-11.3-c7-0-26 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.198$ $0$ $1.31754$ Modular form 99.8.f.c.91.1
2-99-11.3-c7-0-27 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.333$ $0$ $1.50728$ Modular form 99.8.f.d.91.10
2-99-11.3-c7-0-28 $5.56$ $30.9$ $2$ $3^{2} \cdot 11$ 11.3 $7.0$ $7$ ✓ ✓ $0.279$ $0$ $1.60332$ Modular form 99.8.f.b.91.6
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