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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
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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
2-927-103.10-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.10 $0.0$ 0 ✓ ✓ $0.0343$ $0$ $1.58081$ Modular form 927.1.v.a.10.1
2-927-103.102-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.102 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $0.939426$ Modular form 927.1.d.c.514.1
2-927-103.102-c0-0-1 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.102 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.01777$ Modular form 927.1.d.b.514.1
2-927-103.102-c0-0-2 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.102 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.17512$ Modular form 927.1.d.c.514.2
2-927-103.102-c0-0-3 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.102 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.35173$ Artin representation 2.927.4t3.b Artin representation 2.927.4t3.b.a Modular form 927.1.d.a Modular form 927.1.d.a.514.1
2-927-103.102-c0-0-4 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.102 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.74545$ Modular form 927.1.d.c.514.3
2-927-103.102-c0-0-5 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.102 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.13516$ Modular form 927.1.d.b.514.2
2-927-103.102-c0-0-6 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.102 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.27500$ Modular form 927.1.d.c.514.4
2-927-103.22-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.22 $0.0$ 0 ✓ ✓ $0.0962$ $0$ $1.73650$ Modular form 927.1.v.a.640.1
2-927-103.24-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.24 $0.0$ 0 ✓ ✓ $-0.331$ $0$ $0.694777$ Modular form 927.1.v.a.127.1
2-927-103.27-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.27 $0.0$ 0 ✓ ✓ $-0.0952$ $0$ $1.28092$ Modular form 927.1.v.a.748.1
2-927-103.3-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.3 $0.0$ 0 ✓ ✓ $-0.253$ $0$ $0.836604$ Modular form 927.1.v.a.415.1
2-927-103.31-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.31 $0.0$ 0 ✓ ✓ $-0.0343$ $0$ $1.47957$ Modular form 927.1.v.a.649.1
2-927-103.37-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.37 $0.0$ 0 ✓ ✓ $-0.244$ $0$ $0.593173$ Modular form 927.1.v.a.37.1
2-927-103.39-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.39 $0.0$ 0 ✓ ✓ $0.244$ $0$ $1.89509$ Modular form 927.1.v.a.451.1
2-927-103.42-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.42 $0.0$ 0 ✓ ✓ $0.0952$ $0$ $2.03167$ Modular form 927.1.v.a.145.1
2-927-103.69-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.69 $0.0$ 0 ✓ ✓ $0.253$ $0$ $2.01060$ Modular form 927.1.v.a.172.1
2-927-103.73-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.73 $0.0$ 0 ✓ ✓ $0.331$ $0$ $2.40955$ Modular form 927.1.v.a.73.1
2-927-103.80-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.80 $0.0$ 0 ✓ ✓ $0.0969$ $0$ $1.95943$ Modular form 927.1.v.a.595.1
2-927-103.89-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.89 $0.0$ 0 ✓ ✓ $-0.0962$ $0$ $1.41054$ Modular form 927.1.v.a.604.1
2-927-103.90-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.90 $0.0$ 0 ✓ ✓ $0.125$ $0$ $1.51769$ Modular form 927.1.v.a.811.1
2-927-103.94-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.94 $0.0$ 0 ✓ ✓ $-0.0969$ $0$ $1.53259$ Modular form 927.1.v.a.712.1
2-927-103.95-c0-0-0 $0.680$ $0.462$ $2$ $3^{2} \cdot 103$ 103.95 $0.0$ 0 ✓ ✓ $-0.125$ $0$ $0.980549$ Modular form 927.1.v.a.919.1
2-927-1.1-c1-0-0 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.201999$ Modular form 927.2.a.h.1.4
2-927-1.1-c1-0-1 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.556572$ Modular form 927.2.a.e.1.3
2-927-1.1-c1-0-10 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.956568$ Modular form 927.2.a.h.1.3
2-927-1.1-c1-0-11 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01573$ Modular form 927.2.a.e.1.1
2-927-1.1-c1-0-12 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.04982$ Modular form 927.2.a.e.1.2
2-927-1.1-c1-0-13 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.10211$ Modular form 927.2.a.b.1.1
2-927-1.1-c1-0-14 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.14766$ Modular form 927.2.a.h.1.1
2-927-1.1-c1-0-15 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.15783$ Modular form 927.2.a.g.1.6
2-927-1.1-c1-0-16 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.24737$ Modular form 927.2.a.g.1.1
2-927-1.1-c1-0-17 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27546$ Modular form 927.2.a.g.1.5
2-927-1.1-c1-0-18 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.40146$ Modular form 927.2.a.f.1.3
2-927-1.1-c1-0-19 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.40898$ Modular form 927.2.a.h.1.11
2-927-1.1-c1-0-2 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.561204$ Modular form 927.2.a.g.1.4
2-927-1.1-c1-0-20 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.42085$ Modular form 927.2.a.h.1.10
2-927-1.1-c1-0-21 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.43727$ Modular form 927.2.a.c.1.1
2-927-1.1-c1-0-22 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.44558$ Modular form 927.2.a.h.1.6
2-927-1.1-c1-0-23 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.58179$ Modular form 927.2.a.f.1.1
2-927-1.1-c1-0-24 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.58703$ Modular form 927.2.a.h.1.14
2-927-1.1-c1-0-25 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.60560$ Modular form 927.2.a.f.1.4
2-927-1.1-c1-0-26 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.62040$ Modular form 927.2.a.e.1.5
2-927-1.1-c1-0-27 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.63489$ Modular form 927.2.a.h.1.12
2-927-1.1-c1-0-28 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.64987$ Modular form 927.2.a.d.1.1
2-927-1.1-c1-0-29 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.73020$ Modular form 927.2.a.e.1.4
2-927-1.1-c1-0-3 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.589809$ Modular form 927.2.a.g.1.2
2-927-1.1-c1-0-30 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.73666$ Modular form 927.2.a.c.1.2
2-927-1.1-c1-0-31 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.74438$ Modular form 927.2.a.d.1.2
2-927-1.1-c1-0-32 $2.72$ $7.40$ $2$ $3^{2} \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.76465$ Modular form 927.2.a.b.1.2
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