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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
2-921-921.101-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.101 $0.0$ 0 ✓ ✓ $-0.0157$ $0$ $0.984240$ Modular form 921.1.s.a.101.1
2-921-921.113-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.113 $0.0$ 0 ✓ ✓ $0.319$ $0$ $2.59382$ Modular form 921.1.s.a.113.1
2-921-921.149-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.149 $0.0$ 0 ✓ ✓ $0.325$ $0$ $2.24827$ Modular form 921.1.s.a.149.1
2-921-921.155-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.155 $0.0$ 0 ✓ ✓ $0.106$ $0$ $1.46946$ Modular form 921.1.s.a.155.1
2-921-921.167-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.167 $0.0$ 0 ✓ ✓ $0.346$ $0$ $1.88525$ Modular form 921.1.s.a.167.1
2-921-921.17-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.17 $0.0$ 0 ✓ ✓ $-0.441$ $0$ $0.843860$ Modular form 921.1.g.b.17.2
2-921-921.17-c0-0-1 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.17 $0.0$ 0 ✓ ✓ $-0.441$ $0$ $2.09704$ Modular form 921.1.g.b.17.1
2-921-921.17-c0-0-2 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.17 $0.0$ 0 ✓ ✓ $0.0581$ $0$ $2.22228$ Artin representation 2.921.6t5.b.a Modular form 921.1.g.a.17.1
2-921-921.179-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.179 $0.0$ 0 ✓ ✓ $0.401$ $0$ $0.160662$ Modular form 921.1.s.a.179.1
2-921-921.182-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.182 $0.0$ 0 ✓ ✓ $-0.346$ $0$ $0.216743$ Modular form 921.1.s.a.182.1
2-921-921.269-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.269 $0.0$ 0 ✓ ✓ $0.0196$ $0$ $1.89163$ Modular form 921.1.p.a.269.1
2-921-921.272-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.272 $0.0$ 0 ✓ ✓ $-0.221$ $0$ $1.35833$ Modular form 921.1.p.a.272.1
2-921-921.275-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.275 $0.0$ 0 ✓ ✓ $0.164$ $0$ $1.97025$ Modular form 921.1.s.a.275.1
2-921-921.299-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.299 $0.0$ 0 ✓ ✓ $-0.212$ $0$ $1.36956$ Modular form 921.1.p.a.299.1
2-921-921.305-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.305 $0.0$ 0 ✓ ✓ $0.0152$ $0$ $1.77216$ Modular form 921.1.s.a.305.1
2-921-921.311-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.311 $0.0$ 0 ✓ ✓ $0.0230$ $0$ $1.62343$ Modular form 921.1.s.a.311.1
2-921-921.323-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.323 $0.0$ 0 ✓ ✓ $-0.238$ $0$ $1.15454$ Modular form 921.1.s.a.323.1
2-921-921.326-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.326 $0.0$ 0 ✓ ✓ $-0.147$ $0$ $1.57367$ Modular form 921.1.s.a.326.1
2-921-921.371-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.371 $0.0$ 0 ✓ ✓ $-0.170$ $0$ $0.840905$ Modular form 921.1.p.a.371.1
2-921-921.377-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.377 $0.0$ 0 ✓ ✓ $-0.257$ $0$ $0.855892$ Modular form 921.1.s.a.377.1
2-921-921.383-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.383 $0.0$ 0 ✓ ✓ $0.0157$ $0$ $1.26235$ Modular form 921.1.s.a.383.1
2-921-921.386-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.386 $0.0$ 0 ✓ ✓ $0.402$ $0$ $2.68856$ Modular form 921.1.s.a.386.1
2-921-921.404-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.404 $0.0$ 0 ✓ ✓ $0.147$ $0$ $1.89454$ Modular form 921.1.s.a.404.1
2-921-921.410-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.410 $0.0$ 0 ✓ ✓ $-0.106$ $0$ $0.699878$ Modular form 921.1.s.a.410.1
2-921-921.422-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.422 $0.0$ 0 ✓ ✓ $0.212$ $0$ $2.00049$ Modular form 921.1.p.a.422.1
2-921-921.452-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.452 $0.0$ 0 ✓ ✓ $-0.0505$ $0$ $1.53731$ Modular form 921.1.s.a.452.1
2-921-921.506-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.506 $0.0$ 0 ✓ ✓ $0.231$ $0$ $1.96436$ Modular form 921.1.s.a.506.1
2-921-921.542-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.542 $0.0$ 0 ✓ ✓ $-0.162$ $0$ $1.22984$ Modular form 921.1.p.a.542.1
2-921-921.557-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.557 $0.0$ 0 ✓ ✓ $0.257$ $0$ $2.06583$ Modular form 921.1.s.a.557.1
2-921-921.563-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.563 $0.0$ 0 ✓ ✓ $-0.196$ $0$ $0.922989$ Modular form 921.1.s.a.563.1
2-921-921.566-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.566 $0.0$ 0 ✓ ✓ $-0.164$ $0$ $0.842769$ Modular form 921.1.s.a.566.1
2-921-921.587-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.587 $0.0$ 0 ✓ ✓ $-0.258$ $0$ $0.962420$ Modular form 921.1.p.a.587.1
2-921-921.596-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.596 $0.0$ 0 ✓ ✓ $0.441$ $0$ $0.533249$ Modular form 921.1.g.b.596.2
2-921-921.596-c0-0-1 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.596 $0.0$ 0 ✓ ✓ $-0.0581$ $0$ $1.67892$ Artin representation 2.921.6t5.b.b Modular form 921.1.g.a.596.1
2-921-921.596-c0-0-2 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.596 $0.0$ 0 ✓ ✓ $0.441$ $0$ $1.79367$ Modular form 921.1.g.b.596.1
2-921-921.602-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.602 $0.0$ 0 ✓ ✓ $-0.401$ $0$ $2.70067$ Modular form 921.1.s.a.602.1
2-921-921.611-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.611 $0.0$ 0 ✓ ✓ $-0.00662$ $0$ $1.53539$ Modular form 921.1.p.a.611.1
2-921-921.620-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.620 $0.0$ 0 ✓ ✓ $0.196$ $0$ $1.67537$ Modular form 921.1.s.a.620.1
2-921-921.623-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.623 $0.0$ 0 ✓ ✓ $-0.0745$ $0$ $1.51774$ Modular form 921.1.p.a.623.1
2-921-921.638-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.638 $0.0$ 0 ✓ ✓ $0.170$ $0$ $1.39931$ Modular form 921.1.p.a.638.1
2-921-921.650-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.650 $0.0$ 0 ✓ ✓ $0.0505$ $0$ $1.83064$ Modular form 921.1.s.a.650.1
2-921-921.668-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.668 $0.0$ 0 ✓ ✓ $-0.231$ $0$ $0.972628$ Modular form 921.1.s.a.668.1
2-921-921.68-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.68 $0.0$ 0 ✓ ✓ $-0.325$ $0$ $0.662257$ Modular form 921.1.s.a.68.1
2-921-921.695-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.695 $0.0$ 0 ✓ ✓ $0.162$ $0$ $1.91952$ Modular form 921.1.p.a.695.1
2-921-921.710-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.710 $0.0$ 0 ✓ ✓ $0.238$ $0$ $2.15348$ Modular form 921.1.s.a.710.1
2-921-921.716-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.716 $0.0$ 0 ✓ ✓ $0.00662$ $0$ $1.28944$ Modular form 921.1.p.a.716.1
2-921-921.719-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.719 $0.0$ 0 ✓ ✓ $-0.0196$ $0$ $1.37462$ Modular form 921.1.p.a.719.1
2-921-921.728-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.728 $0.0$ 0 ✓ ✓ $0.221$ $0$ $2.29165$ Modular form 921.1.p.a.728.1
2-921-921.758-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.758 $0.0$ 0 ✓ ✓ $-0.319$ $0$ $1.10728$ Modular form 921.1.s.a.758.1
2-921-921.767-c0-0-0 $0.677$ $0.459$ $2$ $3 \cdot 307$ 921.767 $0.0$ 0 ✓ ✓ $-0.0152$ $0$ $1.77506$ Modular form 921.1.s.a.767.1
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