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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
2-333-111.101-c2-0-0 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.494$ $0$ $0.162419$ Modular form 333.3.m.b.323.9
2-333-111.101-c2-0-1 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.295$ $0$ $0.208174$ Modular form 333.3.m.b.323.5
2-333-111.101-c2-0-10 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.190$ $0$ $1.00743$ Modular form 333.3.m.b.323.12
2-333-111.101-c2-0-11 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.181$ $0$ $1.05820$ Modular form 333.3.m.b.323.4
2-333-111.101-c2-0-12 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.112$ $0$ $1.16424$ Modular form 333.3.m.b.323.3
2-333-111.101-c2-0-13 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.0285$ $0$ $1.22222$ Modular form 333.3.m.b.323.6
2-333-111.101-c2-0-14 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.122$ $0$ $1.25423$ Modular form 333.3.m.b.323.17
2-333-111.101-c2-0-15 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.0891$ $0$ $1.44776$ Modular form 333.3.m.b.323.10
2-333-111.101-c2-0-16 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.220$ $0$ $1.50458$ Modular form 333.3.m.b.323.19
2-333-111.101-c2-0-17 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.228$ $0$ $1.61393$ Modular form 333.3.m.a.323.4
2-333-111.101-c2-0-18 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.275$ $0$ $1.75703$ Modular form 333.3.m.b.323.15
2-333-111.101-c2-0-19 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.258$ $0$ $1.76619$ Modular form 333.3.m.b.323.7
2-333-111.101-c2-0-2 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.467$ $0$ $0.241962$ Modular form 333.3.m.a.323.2
2-333-111.101-c2-0-20 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.228$ $0$ $1.80813$ Modular form 333.3.m.a.323.3
2-333-111.101-c2-0-21 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.416$ $0$ $2.75773$ Modular form 333.3.m.b.323.18
2-333-111.101-c2-0-22 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.382$ $0$ $2.85481$ Modular form 333.3.m.b.323.20
2-333-111.101-c2-0-23 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.400$ $0$ $2.90790$ Modular form 333.3.m.b.323.16
2-333-111.101-c2-0-3 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $0.312$ $0$ $0.265152$ Modular form 333.3.m.b.323.1
2-333-111.101-c2-0-4 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.474$ $0$ $0.310558$ Modular form 333.3.m.b.323.2
2-333-111.101-c2-0-5 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.467$ $0$ $0.796272$ Modular form 333.3.m.a.323.1
2-333-111.101-c2-0-6 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.394$ $0$ $0.917846$ Modular form 333.3.m.b.323.8
2-333-111.101-c2-0-7 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.0906$ $0$ $0.951565$ Modular form 333.3.m.b.323.13
2-333-111.101-c2-0-8 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.214$ $0$ $0.989973$ Modular form 333.3.m.b.323.11
2-333-111.101-c2-0-9 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.101 $2.0$ $2$ ✓ ✓ $-0.0459$ $0$ $1.00397$ Modular form 333.3.m.b.323.14
2-333-111.104-c2-0-0 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.486$ $0$ $0.182606$ Modular form 333.3.bi.a.215.16
2-333-111.104-c2-0-1 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.495$ $0$ $0.394348$ Modular form 333.3.bi.a.215.15
2-333-111.104-c2-0-10 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.135$ $0$ $0.928582$ Modular form 333.3.bi.a.215.20
2-333-111.104-c2-0-11 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.0433$ $0$ $1.00241$ Modular form 333.3.bi.a.215.2
2-333-111.104-c2-0-12 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.0931$ $0$ $1.17222$ Modular form 333.3.bi.a.215.22
2-333-111.104-c2-0-13 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.0884$ $0$ $1.20840$ Modular form 333.3.bi.a.215.9
2-333-111.104-c2-0-14 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.169$ $0$ $1.25845$ Modular form 333.3.bi.a.215.7
2-333-111.104-c2-0-15 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.210$ $0$ $1.35483$ Modular form 333.3.bi.a.215.5
2-333-111.104-c2-0-16 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.200$ $0$ $1.39910$ Modular form 333.3.bi.a.215.12
2-333-111.104-c2-0-17 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.00749$ $0$ $1.43227$ Modular form 333.3.bi.a.215.23
2-333-111.104-c2-0-18 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.230$ $0$ $1.50648$ Modular form 333.3.bi.a.215.14
2-333-111.104-c2-0-19 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.482$ $0$ $2.09653$ Modular form 333.3.bi.a.215.8
2-333-111.104-c2-0-2 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.311$ $0$ $0.408310$ Modular form 333.3.bi.a.215.4
2-333-111.104-c2-0-20 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.462$ $0$ $2.27905$ Modular form 333.3.bi.a.215.3
2-333-111.104-c2-0-21 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.392$ $0$ $2.31800$ Modular form 333.3.bi.a.215.18
2-333-111.104-c2-0-22 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.233$ $0$ $2.35767$ Modular form 333.3.bi.a.215.24
2-333-111.104-c2-0-23 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.231$ $0$ $2.45833$ Modular form 333.3.bi.a.215.26
2-333-111.104-c2-0-24 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.398$ $0$ $2.52114$ Modular form 333.3.bi.a.215.21
2-333-111.104-c2-0-25 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $0.260$ $0$ $2.55755$ Modular form 333.3.bi.a.215.25
2-333-111.104-c2-0-3 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.454$ $0$ $0.642516$ Modular form 333.3.bi.a.215.10
2-333-111.104-c2-0-4 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.182$ $0$ $0.668130$ Modular form 333.3.bi.a.215.11
2-333-111.104-c2-0-5 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.464$ $0$ $0.684663$ Modular form 333.3.bi.a.215.1
2-333-111.104-c2-0-6 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.297$ $0$ $0.719222$ Modular form 333.3.bi.a.215.6
2-333-111.104-c2-0-7 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.150$ $0$ $0.791449$ Modular form 333.3.bi.a.215.17
2-333-111.104-c2-0-8 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.178$ $0$ $0.865332$ Modular form 333.3.bi.a.215.19
2-333-111.104-c2-0-9 $3.01$ $9.07$ $2$ $3^{2} \cdot 37$ 111.104 $2.0$ $2$ ✓ ✓ $-0.0730$ $0$ $0.907558$ Modular form 333.3.bi.a.215.13
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