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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
2-415-415.414-c0-0-0 $0.455$ $0.207$ $2$ $5 \cdot 83$ 415.414 $0.0$ 0 $0$ $0$ $1.31915$ Modular form 415.1.d.b.414.1
2-415-415.414-c0-0-1 $0.455$ $0.207$ $2$ $5 \cdot 83$ 415.414 $0.0$ 0 $0$ $0$ $1.48658$ Artin representation 2.415.5t2.a.a Modular form 415.1.d.a.414.1
2-415-415.414-c0-0-2 $0.455$ $0.207$ $2$ $5 \cdot 83$ 415.414 $0.0$ 0 $0$ $0$ $1.97677$ Artin representation 2.415.5t2.a.b Modular form 415.1.d.a.414.2
2-415-415.414-c0-0-3 $0.455$ $0.207$ $2$ $5 \cdot 83$ 415.414 $0.0$ 0 $0$ $0$ $2.51560$ Modular form 415.1.d.b.414.2
2-415-1.1-c1-0-0 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $0.546191$ Modular form 415.2.a.e.1.3
2-415-1.1-c1-0-1 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $0.666398$ Modular form 415.2.a.c.1.3
2-415-1.1-c1-0-10 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $1.44380$ Modular form 415.2.a.d.1.3
2-415-1.1-c1-0-11 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $1.46913$ Modular form 415.2.a.d.1.1
2-415-1.1-c1-0-12 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $1.54399$ Modular form 415.2.a.e.1.7
2-415-1.1-c1-0-13 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $1.67317$ Modular form 415.2.a.e.1.4
2-415-1.1-c1-0-14 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $2.06176$ Elliptic curve 415.a Modular form 415.2.a.a Modular form 415.2.a.a.1.1
2-415-1.1-c1-0-15 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $2.07616$ Modular form 415.2.a.b.1.1
2-415-1.1-c1-0-16 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $2.13788$ Modular form 415.2.a.e.1.11
2-415-1.1-c1-0-17 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $2.16266$ Modular form 415.2.a.d.1.2
2-415-1.1-c1-0-18 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $2.16504$ Modular form 415.2.a.d.1.4
2-415-1.1-c1-0-19 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $2.17437$ Modular form 415.2.a.c.1.6
2-415-1.1-c1-0-2 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $0.760045$ Modular form 415.2.a.e.1.6
2-415-1.1-c1-0-20 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $2.20801$ Modular form 415.2.a.e.1.8
2-415-1.1-c1-0-21 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $2.28044$ Modular form 415.2.a.b.1.2
2-415-1.1-c1-0-22 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $2.34208$ Modular form 415.2.a.c.1.5
2-415-1.1-c1-0-23 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $2.46316$ Modular form 415.2.a.e.1.10
2-415-1.1-c1-0-24 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $2.75220$ Modular form 415.2.a.d.1.7
2-415-1.1-c1-0-25 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $2.77671$ Modular form 415.2.a.d.1.5
2-415-1.1-c1-0-26 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0.5$ $1$ $2.98473$ Modular form 415.2.a.d.1.6
2-415-1.1-c1-0-3 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $0.898941$ Modular form 415.2.a.c.1.1
2-415-1.1-c1-0-4 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $0.961001$ Modular form 415.2.a.e.1.2
2-415-1.1-c1-0-5 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $1.11359$ Modular form 415.2.a.c.1.4
2-415-1.1-c1-0-6 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $1.18176$ Modular form 415.2.a.e.1.5
2-415-1.1-c1-0-7 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $1.33142$ Modular form 415.2.a.e.1.9
2-415-1.1-c1-0-8 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $1.35990$ Modular form 415.2.a.e.1.1
2-415-1.1-c1-0-9 $1.82$ $3.31$ $2$ $5 \cdot 83$ 1.1 $1.0$ $1$ $0$ $0$ $1.36886$ Modular form 415.2.a.c.1.2
2-415-415.102-c1-0-0 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $0.369$ $0$ $0.00830557$ Modular form 415.2.l.a.102.13
2-415-415.102-c1-0-1 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $0.412$ $0$ $0.0658610$ Modular form 415.2.l.a.102.2
2-415-415.102-c1-0-10 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.381$ $0$ $0.541392$ Modular form 415.2.l.a.102.6
2-415-415.102-c1-0-11 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.0173$ $0$ $0.546833$ Modular form 415.2.l.a.102.14
2-415-415.102-c1-0-12 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.253$ $0$ $0.614053$ Modular form 415.2.l.a.102.27
2-415-415.102-c1-0-13 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.232$ $0$ $0.653835$ Modular form 415.2.l.a.102.29
2-415-415.102-c1-0-14 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $0.000180$ $0$ $0.838497$ Modular form 415.2.l.a.102.3
2-415-415.102-c1-0-15 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.140$ $0$ $0.889002$ Modular form 415.2.l.a.102.19
2-415-415.102-c1-0-16 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.289$ $0$ $1.06177$ Modular form 415.2.l.a.102.16
2-415-415.102-c1-0-17 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.248$ $0$ $1.12891$ Modular form 415.2.l.a.102.17
2-415-415.102-c1-0-18 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $0.113$ $0$ $1.15102$ Modular form 415.2.l.a.102.25
2-415-415.102-c1-0-19 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.169$ $0$ $1.36500$ Modular form 415.2.l.a.102.4
2-415-415.102-c1-0-2 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $0.417$ $0$ $0.123761$ Modular form 415.2.l.a.102.22
2-415-415.102-c1-0-20 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.0759$ $0$ $1.36594$ Modular form 415.2.l.a.102.12
2-415-415.102-c1-0-21 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.0593$ $0$ $1.40610$ Modular form 415.2.l.a.102.26
2-415-415.102-c1-0-22 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.0374$ $0$ $1.50518$ Modular form 415.2.l.a.102.1
2-415-415.102-c1-0-23 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $0.338$ $0$ $1.53299$ Modular form 415.2.l.a.102.20
2-415-415.102-c1-0-24 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $-0.137$ $0$ $1.53897$ Modular form 415.2.l.a.102.8
2-415-415.102-c1-0-25 $1.82$ $3.31$ $2$ $5 \cdot 83$ 415.102 $1.0$ $1$ $0.102$ $0$ $1.66366$ Modular form 415.2.l.a.102.11
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