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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
2-115-1.1-c3-0-0 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.593938$ Modular form 115.4.a.e.1.1
2-115-1.1-c3-0-1 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.600878$ Modular form 115.4.a.f.1.4
2-115-1.1-c3-0-10 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.07708$ Modular form 115.4.a.f.1.5
2-115-1.1-c3-0-11 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.19895$ Modular form 115.4.a.e.1.5
2-115-1.1-c3-0-12 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.25603$ Modular form 115.4.a.c.1.2
2-115-1.1-c3-0-13 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.30745$ Modular form 115.4.a.f.1.8
2-115-1.1-c3-0-14 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.36169$ Modular form 115.4.a.d.1.1
2-115-1.1-c3-0-15 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.39681$ Modular form 115.4.a.d.1.3
2-115-1.1-c3-0-16 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.46584$ Modular form 115.4.a.f.1.7
2-115-1.1-c3-0-17 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.55568$ Modular form 115.4.a.e.1.4
2-115-1.1-c3-0-18 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.77522$ Modular form 115.4.a.b Modular form 115.4.a.b.1.1
2-115-1.1-c3-0-19 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $3.02623$ Modular form 115.4.a.d.1.5
2-115-1.1-c3-0-2 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.714551$ Modular form 115.4.a.f.1.1
2-115-1.1-c3-0-20 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $3.03113$ Modular form 115.4.a.d.1.4
2-115-1.1-c3-0-21 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $3.07754$ Modular form 115.4.a.a Modular form 115.4.a.a.1.1
2-115-1.1-c3-0-3 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.843850$ Modular form 115.4.a.e.1.3
2-115-1.1-c3-0-4 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.17388$ Modular form 115.4.a.f.1.3
2-115-1.1-c3-0-5 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.37565$ Modular form 115.4.a.d.1.2
2-115-1.1-c3-0-6 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.48234$ Modular form 115.4.a.e.1.2
2-115-1.1-c3-0-7 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.50590$ Modular form 115.4.a.f.1.2
2-115-1.1-c3-0-8 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.50653$ Modular form 115.4.a.f.1.6
2-115-1.1-c3-0-9 $2.60$ $6.78$ $2$ $5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.69805$ Modular form 115.4.a.c.1.1
2-115-115.102-c3-0-0 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.0143$ $0$ $0.0622280$ Modular form 115.4.l.a.102.32
2-115-115.102-c3-0-1 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.117$ $0$ $0.0666229$ Modular form 115.4.l.a.102.8
2-115-115.102-c3-0-10 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.493$ $0$ $0.825310$ Modular form 115.4.l.a.102.5
2-115-115.102-c3-0-11 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.172$ $0$ $1.07269$ Modular form 115.4.l.a.102.27
2-115-115.102-c3-0-12 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.0354$ $0$ $1.30662$ Modular form 115.4.l.a.102.1
2-115-115.102-c3-0-13 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.133$ $0$ $1.32871$ Modular form 115.4.l.a.102.9
2-115-115.102-c3-0-14 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.186$ $0$ $1.39731$ Modular form 115.4.l.a.102.13
2-115-115.102-c3-0-15 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.0480$ $0$ $1.46138$ Modular form 115.4.l.a.102.2
2-115-115.102-c3-0-16 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.0330$ $0$ $1.49032$ Modular form 115.4.l.a.102.18
2-115-115.102-c3-0-17 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.321$ $0$ $1.73167$ Modular form 115.4.l.a.102.22
2-115-115.102-c3-0-18 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.166$ $0$ $1.73303$ Modular form 115.4.l.a.102.12
2-115-115.102-c3-0-19 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.102$ $0$ $1.81677$ Modular form 115.4.l.a.102.24
2-115-115.102-c3-0-2 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.430$ $0$ $0.218206$ Modular form 115.4.l.a.102.11
2-115-115.102-c3-0-20 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.103$ $0$ $1.88206$ Modular form 115.4.l.a.102.10
2-115-115.102-c3-0-21 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.258$ $0$ $1.88428$ Modular form 115.4.l.a.102.4
2-115-115.102-c3-0-22 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.305$ $0$ $1.97468$ Modular form 115.4.l.a.102.15
2-115-115.102-c3-0-23 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.397$ $0$ $2.09424$ Modular form 115.4.l.a.102.28
2-115-115.102-c3-0-24 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.272$ $0$ $2.25438$ Modular form 115.4.l.a.102.21
2-115-115.102-c3-0-25 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.146$ $0$ $2.25773$ Modular form 115.4.l.a.102.20
2-115-115.102-c3-0-26 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.338$ $0$ $2.26080$ Modular form 115.4.l.a.102.30
2-115-115.102-c3-0-27 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.0767$ $0$ $2.27573$ Modular form 115.4.l.a.102.17
2-115-115.102-c3-0-28 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.197$ $0$ $2.38867$ Modular form 115.4.l.a.102.3
2-115-115.102-c3-0-29 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.310$ $0$ $2.51342$ Modular form 115.4.l.a.102.26
2-115-115.102-c3-0-3 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.296$ $0$ $0.396370$ Modular form 115.4.l.a.102.23
2-115-115.102-c3-0-30 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.348$ $0$ $2.93733$ Modular form 115.4.l.a.102.25
2-115-115.102-c3-0-31 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.491$ $0$ $3.03554$ Modular form 115.4.l.a.102.33
2-115-115.102-c3-0-32 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.360$ $0$ $3.25457$ Modular form 115.4.l.a.102.29
2-115-115.102-c3-0-33 $2.60$ $6.78$ $2$ $5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.183$ $0$ $3.74467$ Modular form 115.4.l.a.102.34
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