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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
2-476-476.135-c0-0-0 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.135 $0.0$ 0 ✓ ✓ $-0.260$ $0$ $1.54988$ Artin representation 2.476.6t5.a.b Modular form 476.1.o.b.135.1
2-476-476.135-c0-0-1 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.135 $0.0$ 0 ✓ ✓ $-0.0100$ $0$ $1.85648$ Modular form 476.1.o.c.135.2
2-476-476.135-c0-0-2 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.135 $0.0$ 0 ✓ ✓ $0.239$ $0$ $2.20929$ Modular form 476.1.o.a.135.1
2-476-476.135-c0-0-3 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.135 $0.0$ 0 ✓ ✓ $0.489$ $0$ $3.39453$ Modular form 476.1.o.c.135.1
2-476-476.67-c0-0-0 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.67 $0.0$ 0 ✓ ✓ $-0.239$ $0$ $0.583590$ Modular form 476.1.o.a.67.1
2-476-476.67-c0-0-1 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.67 $0.0$ 0 ✓ ✓ $-0.489$ $0$ $1.08987$ Modular form 476.1.o.c.67.1
2-476-476.67-c0-0-2 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.67 $0.0$ 0 ✓ ✓ $0.260$ $0$ $2.02529$ Artin representation 2.476.6t5.a.a Modular form 476.1.o.b.67.1
2-476-476.67-c0-0-3 $0.487$ $0.237$ $2$ $2^{2} \cdot 7 \cdot 17$ 476.67 $0.0$ 0 ✓ ✓ $0.0100$ $0$ $2.54572$ Modular form 476.1.o.c.67.2
2-476-1.1-c1-0-0 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.867345$ Modular form 476.2.a.c.1.1
2-476-1.1-c1-0-1 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.986031$ Modular form 476.2.a.d.1.1
2-476-1.1-c1-0-2 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.61734$ Modular form 476.2.a.c.1.2
2-476-1.1-c1-0-3 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.78871$ Modular form 476.2.a.d.1.2
2-476-1.1-c1-0-4 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.80826$ Modular form 476.2.a.a.1.1
2-476-1.1-c1-0-5 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.10526$ Modular form 476.2.a.b.1.1
2-476-1.1-c1-0-6 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.32822$ Modular form 476.2.a.a.1.2
2-476-1.1-c1-0-7 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.54553$ Modular form 476.2.a.b.1.2
2-476-119.10-c1-0-0 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $-0.118$ $0$ $0.434234$ Modular form 476.2.bl.a.129.1
2-476-119.10-c1-0-1 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $-0.439$ $0$ $0.544020$ Modular form 476.2.bl.a.129.10
2-476-119.10-c1-0-10 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $0.370$ $0$ $2.19093$ Modular form 476.2.bl.a.129.6
2-476-119.10-c1-0-11 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $0.438$ $0$ $2.28294$ Modular form 476.2.bl.a.129.3
2-476-119.10-c1-0-2 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $-0.128$ $0$ $0.932144$ Modular form 476.2.bl.a.129.7
2-476-119.10-c1-0-3 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $-0.376$ $0$ $1.01803$ Modular form 476.2.bl.a.129.12
2-476-119.10-c1-0-4 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $-0.215$ $0$ $1.25129$ Modular form 476.2.bl.a.129.11
2-476-119.10-c1-0-5 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $0.155$ $0$ $1.46364$ Modular form 476.2.bl.a.129.4
2-476-119.10-c1-0-6 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $-0.0627$ $0$ $1.60188$ Modular form 476.2.bl.a.129.9
2-476-119.10-c1-0-7 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $0.0767$ $0$ $1.85580$ Modular form 476.2.bl.a.129.8
2-476-119.10-c1-0-8 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $0.285$ $0$ $2.10213$ Modular form 476.2.bl.a.129.2
2-476-119.10-c1-0-9 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.10 $1.0$ $1$ ✓ ✓ $-0.495$ $0$ $2.14312$ Modular form 476.2.bl.a.129.5
2-476-119.100-c1-0-0 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $0.490$ $0$ $0.0166200$ Modular form 476.2.bh.a.457.5
2-476-119.100-c1-0-1 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $0.481$ $0$ $0.364888$ Modular form 476.2.bh.a.457.4
2-476-119.100-c1-0-10 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $0.255$ $0$ $2.28215$ Modular form 476.2.bh.a.457.12
2-476-119.100-c1-0-11 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $0.338$ $0$ $2.63403$ Modular form 476.2.bh.a.457.11
2-476-119.100-c1-0-2 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $-0.447$ $0$ $0.555387$ Modular form 476.2.bh.a.457.2
2-476-119.100-c1-0-3 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $-0.149$ $0$ $0.904671$ Modular form 476.2.bh.a.457.10
2-476-119.100-c1-0-4 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $-0.146$ $0$ $1.01101$ Modular form 476.2.bh.a.457.7
2-476-119.100-c1-0-5 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $-0.104$ $0$ $1.02769$ Modular form 476.2.bh.a.457.3
2-476-119.100-c1-0-6 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $-0.0762$ $0$ $1.14265$ Modular form 476.2.bh.a.457.8
2-476-119.100-c1-0-7 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $-0.0349$ $0$ $1.31240$ Modular form 476.2.bh.a.457.1
2-476-119.100-c1-0-8 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $0.123$ $0$ $1.61238$ Modular form 476.2.bh.a.457.6
2-476-119.100-c1-0-9 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.100 $1.0$ $1$ ✓ ✓ $0.214$ $0$ $2.08003$ Modular form 476.2.bh.a.457.9
2-476-119.108-c1-0-0 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $-0.445$ $0$ $0.188930$ Modular form 476.2.bl.a.465.2
2-476-119.108-c1-0-1 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $-0.103$ $0$ $0.649134$ Modular form 476.2.bl.a.465.3
2-476-119.108-c1-0-10 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $0.235$ $0$ $2.24679$ Modular form 476.2.bl.a.465.8
2-476-119.108-c1-0-11 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $0.372$ $0$ $2.38576$ Modular form 476.2.bl.a.465.7
2-476-119.108-c1-0-2 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $-0.130$ $0$ $0.651916$ Modular form 476.2.bl.a.465.4
2-476-119.108-c1-0-3 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $-0.252$ $0$ $0.929285$ Modular form 476.2.bl.a.465.9
2-476-119.108-c1-0-4 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $-0.239$ $0$ $1.10255$ Modular form 476.2.bl.a.465.10
2-476-119.108-c1-0-5 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $-0.00928$ $0$ $1.34323$ Modular form 476.2.bl.a.465.6
2-476-119.108-c1-0-6 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $0.233$ $0$ $1.40763$ Modular form 476.2.bl.a.465.1
2-476-119.108-c1-0-7 $1.94$ $3.80$ $2$ $2^{2} \cdot 7 \cdot 17$ 119.108 $1.0$ $1$ ✓ ✓ $-0.0676$ $0$ $1.60887$ Modular form 476.2.bl.a.465.12
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