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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
2-15e2-15.14-c4-0-0 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.475$ $0$ $0.0836658$ Modular form 225.5.d.a.224.4
2-15e2-15.14-c4-0-1 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.475$ $0$ $0.0919135$ Modular form 225.5.d.b.224.4
2-15e2-15.14-c4-0-10 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.0782$ $0$ $0.845099$ Modular form 225.5.d.c.224.4
2-15e2-15.14-c4-0-11 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.171$ $0$ $0.965266$ Modular form 225.5.d.a.224.1
2-15e2-15.14-c4-0-12 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.171$ $0$ $0.990027$ Modular form 225.5.d.b.224.8
2-15e2-15.14-c4-0-13 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.0782$ $0$ $1.02248$ Modular form 225.5.d.c.224.8
2-15e2-15.14-c4-0-14 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.225$ $0$ $1.02551$ Modular form 225.5.d.c.224.2
2-15e2-15.14-c4-0-15 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.225$ $0$ $1.05963$ Modular form 225.5.d.c.224.5
2-15e2-15.14-c4-0-16 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.171$ $0$ $1.20681$ Modular form 225.5.d.b.224.6
2-15e2-15.14-c4-0-17 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.0782$ $0$ $1.45458$ Modular form 225.5.d.c.224.12
2-15e2-15.14-c4-0-18 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.475$ $0$ $1.59970$ Modular form 225.5.d.b.224.1
2-15e2-15.14-c4-0-19 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.475$ $0$ $1.68659$ Modular form 225.5.d.b.224.3
2-15e2-15.14-c4-0-2 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.475$ $0$ $0.287892$ Modular form 225.5.d.b.224.2
2-15e2-15.14-c4-0-20 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.225$ $0$ $1.87968$ Modular form 225.5.d.c.224.9
2-15e2-15.14-c4-0-21 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.171$ $0$ $2.00078$ Modular form 225.5.d.b.224.7
2-15e2-15.14-c4-0-22 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.0782$ $0$ $2.04467$ Modular form 225.5.d.c.224.11
2-15e2-15.14-c4-0-23 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $0.475$ $0$ $2.23340$ Modular form 225.5.d.a.224.3
2-15e2-15.14-c4-0-3 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.225$ $0$ $0.296251$ Modular form 225.5.d.c.224.1
2-15e2-15.14-c4-0-4 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.225$ $0$ $0.378149$ Modular form 225.5.d.c.224.6
2-15e2-15.14-c4-0-5 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.171$ $0$ $0.499931$ Modular form 225.5.d.a.224.2
2-15e2-15.14-c4-0-6 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.171$ $0$ $0.540042$ Modular form 225.5.d.b.224.5
2-15e2-15.14-c4-0-7 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.0782$ $0$ $0.611034$ Modular form 225.5.d.c.224.3
2-15e2-15.14-c4-0-8 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.225$ $0$ $0.719913$ Modular form 225.5.d.c.224.10
2-15e2-15.14-c4-0-9 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 15.14 $4.0$ $4$ ✓ ✓ $-0.0782$ $0$ $0.727457$ Modular form 225.5.d.c.224.7
2-15e2-3.2-c4-0-0 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.152$ $0$ $0.0210180$ Modular form 225.5.c.e.26.7
2-15e2-3.2-c4-0-1 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.347$ $0$ $0.101973$ Modular form 225.5.c.b.26.2
2-15e2-3.2-c4-0-10 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.152$ $0$ $0.896347$ Modular form 225.5.c.c.26.6
2-15e2-3.2-c4-0-11 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.347$ $0$ $0.969286$ Modular form 225.5.c.d.26.1
2-15e2-3.2-c4-0-12 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.152$ $0$ $1.01921$ Modular form 225.5.c.c.26.4
2-15e2-3.2-c4-0-13 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.347$ $0$ $1.03106$ Modular form 225.5.c.d.26.6
2-15e2-3.2-c4-0-14 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.152$ $0$ $1.10710$ Modular form 225.5.c.e.26.6
2-15e2-3.2-c4-0-15 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.152$ $0$ $1.24432$ Modular form 225.5.c.e.26.8
2-15e2-3.2-c4-0-16 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.152$ $0$ $1.32458$ Modular form 225.5.c.c.26.3
2-15e2-3.2-c4-0-17 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.152$ $0$ $1.43616$ Modular form 225.5.c.e.26.5
2-15e2-3.2-c4-0-18 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.347$ $0$ $1.47817$ Modular form 225.5.c.a.26.1
2-15e2-3.2-c4-0-19 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.152$ $0$ $1.48646$ Modular form 225.5.c.e.26.4
2-15e2-3.2-c4-0-2 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.152$ $0$ $0.164304$ Modular form 225.5.c.c.26.2
2-15e2-3.2-c4-0-20 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.152$ $0$ $1.66879$ Modular form 225.5.c.c.26.5
2-15e2-3.2-c4-0-21 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.347$ $0$ $1.71655$ Modular form 225.5.c.d.26.3
2-15e2-3.2-c4-0-22 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.347$ $0$ $1.84252$ Modular form 225.5.c.b.26.3
2-15e2-3.2-c4-0-23 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.347$ $0$ $1.90156$ Modular form 225.5.c.b.26.1
2-15e2-3.2-c4-0-24 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.347$ $0$ $2.02056$ Modular form 225.5.c.d.26.2
2-15e2-3.2-c4-0-25 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.152$ $0$ $2.43682$ Modular form 225.5.c.e.26.1
2-15e2-3.2-c4-0-3 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.152$ $0$ $0.304687$ Modular form 225.5.c.c.26.1
2-15e2-3.2-c4-0-4 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.347$ $0$ $0.328971$ Modular form 225.5.c.d.26.5
2-15e2-3.2-c4-0-5 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.347$ $0$ $0.376724$ Modular form 225.5.c.b.26.4
2-15e2-3.2-c4-0-6 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.152$ $0$ $0.551288$ Modular form 225.5.c.e.26.3
2-15e2-3.2-c4-0-7 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.347$ $0$ $0.553959$ Modular form 225.5.c.d.26.4
2-15e2-3.2-c4-0-8 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $0.152$ $0$ $0.724055$ Modular form 225.5.c.e.26.2
2-15e2-3.2-c4-0-9 $4.82$ $23.2$ $2$ $3^{2} \cdot 5^{2}$ 3.2 $4.0$ $4$ ✓ ✓ $-0.347$ $0$ $0.830962$ Modular form 225.5.c.a.26.2
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