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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
2-10e3-40.19-c0-0-0 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 40.19 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.18834$ Modular form 1000.1.e.a.499.1
2-10e3-40.19-c0-0-1 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 40.19 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.45685$ Modular form 1000.1.e.a.499.2
2-10e3-40.19-c0-0-2 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 40.19 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.75309$ Artin representation 2.1000.5t2.a.b Modular form 1000.1.e.b.499.1
2-10e3-40.19-c0-0-3 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 40.19 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.91840$ Artin representation 2.1000.5t2.a.a Modular form 1000.1.e.b.499.2
2-10e3-8.3-c0-0-0 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 8.3 $0.0$ 0 ✓ ✓ $0.5$ $0$ $0.481107$ Modular form 1000.1.g.a.251.4
2-10e3-8.3-c0-0-1 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 8.3 $0.0$ 0 ✓ ✓ $0$ $0$ $0.886336$ Modular form 1000.1.g.a.251.2
2-10e3-8.3-c0-0-2 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 8.3 $0.0$ 0 ✓ ✓ $0$ $0$ $1.69926$ Modular form 1000.1.g.a.251.3
2-10e3-8.3-c0-0-3 $0.706$ $0.499$ $2$ $2^{3} \cdot 5^{3}$ 8.3 $0.0$ 0 ✓ ✓ $0.5$ $0$ $2.24649$ Modular form 1000.1.g.a.251.1
2-10e3-1.1-c1-0-0 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.549836$ Modular form 1000.2.a.f.1.1
2-10e3-1.1-c1-0-1 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.694400$ Modular form 1000.2.a.f.1.2
2-10e3-1.1-c1-0-10 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.41032$ Modular form 1000.2.a.g.1.3
2-10e3-1.1-c1-0-11 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.42952$ Modular form 1000.2.a.e.1.1
2-10e3-1.1-c1-0-12 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.49123$ Modular form 1000.2.a.e.1.2
2-10e3-1.1-c1-0-13 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.53416$ Modular form 1000.2.a.h.1.4
2-10e3-1.1-c1-0-14 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.58685$ Modular form 1000.2.a.h.1.3
2-10e3-1.1-c1-0-15 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.64344$ Modular form 1000.2.a.g.1.4
2-10e3-1.1-c1-0-16 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.70347$ Modular form 1000.2.a.a.1.1
2-10e3-1.1-c1-0-17 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.77080$ Modular form 1000.2.a.b.1.1
2-10e3-1.1-c1-0-18 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.86233$ Modular form 1000.2.a.c.1.1
2-10e3-1.1-c1-0-19 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.08227$ Modular form 1000.2.a.a.1.2
2-10e3-1.1-c1-0-2 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.867530$ Modular form 1000.2.a.h.1.2
2-10e3-1.1-c1-0-20 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.13675$ Modular form 1000.2.a.b.1.2
2-10e3-1.1-c1-0-21 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.15156$ Modular form 1000.2.a.e.1.4
2-10e3-1.1-c1-0-22 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.23097$ Modular form 1000.2.a.e.1.3
2-10e3-1.1-c1-0-23 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.24317$ Modular form 1000.2.a.c.1.2
2-10e3-1.1-c1-0-3 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.883275$ Modular form 1000.2.a.g.1.2
2-10e3-1.1-c1-0-4 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.900366$ Modular form 1000.2.a.g.1.1
2-10e3-1.1-c1-0-5 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.985072$ Modular form 1000.2.a.d.1.1
2-10e3-1.1-c1-0-6 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.05750$ Modular form 1000.2.a.h.1.1
2-10e3-1.1-c1-0-7 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.22931$ Modular form 1000.2.a.f.1.3
2-10e3-1.1-c1-0-8 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.26646$ Modular form 1000.2.a.d.1.2
2-10e3-1.1-c1-0-9 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.40619$ Modular form 1000.2.a.f.1.4
2-10e3-1000.109-c1-0-0 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.440$ $0$ $0.00788542$ Modular form 1000.2.bd.a.109.114
2-10e3-1000.109-c1-0-1 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.431$ $0$ $0.0175578$ Modular form 1000.2.bd.a.109.53
2-10e3-1000.109-c1-0-10 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.448$ $0$ $0.186861$ Modular form 1000.2.bd.a.109.117
2-10e3-1000.109-c1-0-100 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.00557$ $0$ $1.61421$ Modular form 1000.2.bd.a.109.41
2-10e3-1000.109-c1-0-101 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.0388$ $0$ $1.61885$ Modular form 1000.2.bd.a.109.67
2-10e3-1000.109-c1-0-102 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.236$ $0$ $1.62105$ Modular form 1000.2.bd.a.109.18
2-10e3-1000.109-c1-0-103 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.149$ $0$ $1.62590$ Modular form 1000.2.bd.a.109.26
2-10e3-1000.109-c1-0-104 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.0166$ $0$ $1.63337$ Modular form 1000.2.bd.a.109.138
2-10e3-1000.109-c1-0-105 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.481$ $0$ $1.64061$ Modular form 1000.2.bd.a.109.7
2-10e3-1000.109-c1-0-106 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.124$ $0$ $1.64192$ Modular form 1000.2.bd.a.109.79
2-10e3-1000.109-c1-0-107 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.116$ $0$ $1.65038$ Modular form 1000.2.bd.a.109.127
2-10e3-1000.109-c1-0-108 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.403$ $0$ $1.66245$ Modular form 1000.2.bd.a.109.25
2-10e3-1000.109-c1-0-109 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.187$ $0$ $1.66476$ Modular form 1000.2.bd.a.109.55
2-10e3-1000.109-c1-0-11 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $-0.293$ $0$ $0.193314$ Modular form 1000.2.bd.a.109.31
2-10e3-1000.109-c1-0-110 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $-0.168$ $0$ $1.67455$ Modular form 1000.2.bd.a.109.107
2-10e3-1000.109-c1-0-111 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.248$ $0$ $1.68572$ Modular form 1000.2.bd.a.109.15
2-10e3-1000.109-c1-0-112 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $0.0631$ $0$ $1.69873$ Modular form 1000.2.bd.a.109.116
2-10e3-1000.109-c1-0-113 $2.82$ $7.98$ $2$ $2^{3} \cdot 5^{3}$ 1000.109 $1.0$ $1$ ✓ ✓ $-0.266$ $0$ $1.69884$ Modular form 1000.2.bd.a.109.37
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