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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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2-471-1.1-c5-0-0 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.0236359$ | Modular form 471.6.a.c.1.16 | ||
2-471-1.1-c5-0-1 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.0447902$ | Modular form 471.6.a.c.1.1 | ||
2-471-1.1-c5-0-10 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.333242$ | Modular form 471.6.a.d.1.20 | ||
2-471-1.1-c5-0-100 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.40716$ | Modular form 471.6.a.a.1.15 | ||
2-471-1.1-c5-0-101 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.42233$ | Modular form 471.6.a.c.1.34 | ||
2-471-1.1-c5-0-102 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.43302$ | Modular form 471.6.a.b.1.23 | ||
2-471-1.1-c5-0-103 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.47534$ | Modular form 471.6.a.a.1.8 | ||
2-471-1.1-c5-0-104 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.47848$ | Modular form 471.6.a.d.1.35 | ||
2-471-1.1-c5-0-105 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.48167$ | Modular form 471.6.a.a.1.9 | ||
2-471-1.1-c5-0-106 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.48411$ | Modular form 471.6.a.d.1.32 | ||
2-471-1.1-c5-0-107 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.52389$ | Modular form 471.6.a.a.1.18 | ||
2-471-1.1-c5-0-108 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.53362$ | Modular form 471.6.a.a.1.14 | ||
2-471-1.1-c5-0-109 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.55290$ | Modular form 471.6.a.b.1.25 | ||
2-471-1.1-c5-0-11 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.334983$ | Modular form 471.6.a.c.1.19 | ||
2-471-1.1-c5-0-110 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.58262$ | Modular form 471.6.a.b.1.22 | ||
2-471-1.1-c5-0-111 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.63160$ | Modular form 471.6.a.a.1.4 | ||
2-471-1.1-c5-0-112 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.63640$ | Modular form 471.6.a.a.1.19 | ||
2-471-1.1-c5-0-113 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.65816$ | Modular form 471.6.a.a.1.16 | ||
2-471-1.1-c5-0-114 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.70188$ | Modular form 471.6.a.b.1.24 | ||
2-471-1.1-c5-0-115 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.71929$ | Modular form 471.6.a.d.1.38 | ||
2-471-1.1-c5-0-116 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $1.72549$ | Modular form 471.6.a.d.1.36 | ||
2-471-1.1-c5-0-117 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.75710$ | Modular form 471.6.a.b.1.30 | ||
2-471-1.1-c5-0-118 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.80925$ | Modular form 471.6.a.b.1.26 | ||
2-471-1.1-c5-0-119 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.82388$ | Modular form 471.6.a.b.1.29 | ||
2-471-1.1-c5-0-12 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.352875$ | Modular form 471.6.a.c.1.17 | ||
2-471-1.1-c5-0-120 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.86642$ | Modular form 471.6.a.a.1.21 | ||
2-471-1.1-c5-0-121 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.89509$ | Modular form 471.6.a.a.1.22 | ||
2-471-1.1-c5-0-122 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.90158$ | Modular form 471.6.a.a.1.23 | ||
2-471-1.1-c5-0-123 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $1.90743$ | Modular form 471.6.a.b.1.27 | ||
2-471-1.1-c5-0-124 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.00545$ | Modular form 471.6.a.a.1.20 | ||
2-471-1.1-c5-0-125 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.05127$ | Modular form 471.6.a.a.1.25 | ||
2-471-1.1-c5-0-126 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.10747$ | Modular form 471.6.a.a.1.26 | ||
2-471-1.1-c5-0-127 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.15680$ | Modular form 471.6.a.b.1.28 | ||
2-471-1.1-c5-0-128 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.19692$ | Modular form 471.6.a.a.1.27 | ||
2-471-1.1-c5-0-129 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0.5$ | $1$ | $2.27603$ | Modular form 471.6.a.a.1.24 | ||
2-471-1.1-c5-0-13 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.361058$ | Modular form 471.6.a.d.1.15 | ||
2-471-1.1-c5-0-14 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.363864$ | Modular form 471.6.a.c.1.5 | ||
2-471-1.1-c5-0-15 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.372061$ | Modular form 471.6.a.c.1.10 | ||
2-471-1.1-c5-0-16 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.372232$ | Modular form 471.6.a.c.1.7 | ||
2-471-1.1-c5-0-17 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.397281$ | Modular form 471.6.a.d.1.19 | ||
2-471-1.1-c5-0-18 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.398817$ | Modular form 471.6.a.c.1.27 | ||
2-471-1.1-c5-0-19 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.404841$ | Modular form 471.6.a.d.1.14 | ||
2-471-1.1-c5-0-2 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.0577225$ | Modular form 471.6.a.c.1.25 | ||
2-471-1.1-c5-0-20 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.434508$ | Modular form 471.6.a.d.1.8 | ||
2-471-1.1-c5-0-21 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.452938$ | Modular form 471.6.a.c.1.22 | ||
2-471-1.1-c5-0-22 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.481196$ | Modular form 471.6.a.d.1.12 | ||
2-471-1.1-c5-0-23 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.556925$ | Modular form 471.6.a.d.1.29 | ||
2-471-1.1-c5-0-24 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.575677$ | Modular form 471.6.a.d.1.5 | ||
2-471-1.1-c5-0-25 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.596483$ | Modular form 471.6.a.d.1.10 | ||
2-471-1.1-c5-0-26 | $8.69$ | $75.5$ | $2$ | $3 \cdot 157$ | 1.1 | $5.0$ | $5$ | ✓ | ✓ | ✓ | $0$ | $0$ | $0.598782$ | Modular form 471.6.a.c.1.21 |