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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
2-1536-24.5-c0-0-0 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ $-0.375$ $0$ $0.443982$ Modular form 1536.1.h.c.257.2
2-1536-24.5-c0-0-1 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $0.720922$ Artin representation 2.1536.8t6.c.b Modular form 1536.1.h.a.257.1
2-1536-24.5-c0-0-2 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ $-0.125$ $0$ $1.33799$ Modular form 1536.1.h.c.257.4
2-1536-24.5-c0-0-3 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.42681$ Artin representation 2.1536.8t6.d.a Modular form 1536.1.h.b.257.1
2-1536-24.5-c0-0-4 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.46055$ Artin representation 2.1536.8t6.c.a Modular form 1536.1.h.a.257.2
2-1536-24.5-c0-0-5 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.63855$ Artin representation 2.1536.8t6.d.b Modular form 1536.1.h.b.257.2
2-1536-24.5-c0-0-6 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ $0.125$ $0$ $1.65769$ Modular form 1536.1.h.c.257.3
2-1536-24.5-c0-0-7 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 24.5 $0.0$ 0 ✓ ✓ $0.375$ $0$ $1.75546$ Modular form 1536.1.h.c.257.1
2-1536-3.2-c0-0-0 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $0.5$ $0$ $0.477237$ Modular form 1536.1.e.a.1025.4
2-1536-3.2-c0-0-1 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $-0.125$ $0$ $0.681194$ Modular form 1536.1.e.b.1025.1
2-1536-3.2-c0-0-2 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $0$ $0$ $1.21128$ Modular form 1536.1.e.a.1025.2
2-1536-3.2-c0-0-3 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $-0.125$ $0$ $1.26862$ Modular form 1536.1.e.b.1025.4
2-1536-3.2-c0-0-4 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $0$ $0$ $1.50900$ Modular form 1536.1.e.a.1025.3
2-1536-3.2-c0-0-5 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $0.125$ $0$ $1.53603$ Modular form 1536.1.e.b.1025.2
2-1536-3.2-c0-0-6 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $0.125$ $0$ $1.60979$ Modular form 1536.1.e.b.1025.3
2-1536-3.2-c0-0-7 $0.875$ $0.766$ $2$ $2^{9} \cdot 3$ 3.2 $0.0$ 0 ✓ ✓ $0.5$ $0$ $2.48685$ Modular form 1536.1.e.a.1025.1
2-1536-1.1-c1-0-0 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.365210$ Modular form 1536.2.a.m.1.1
2-1536-1.1-c1-0-1 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.613549$ Modular form 1536.2.a.b.1.1
2-1536-1.1-c1-0-10 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.17914$ Modular form 1536.2.a.m.1.4
2-1536-1.1-c1-0-11 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.20272$ Modular form 1536.2.a.k.1.2
2-1536-1.1-c1-0-12 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.22361$ Modular form 1536.2.a.k.1.1
2-1536-1.1-c1-0-13 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.23702$ Modular form 1536.2.a.f.1.2
2-1536-1.1-c1-0-14 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27889$ Modular form 1536.2.a.j.1.2
2-1536-1.1-c1-0-15 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.30590$ Modular form 1536.2.a.d.1.2
2-1536-1.1-c1-0-16 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.32443$ Modular form 1536.2.a.l.1.1
2-1536-1.1-c1-0-17 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.34299$ Modular form 1536.2.a.l.1.2
2-1536-1.1-c1-0-18 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.38963$ Modular form 1536.2.a.a.1.1
2-1536-1.1-c1-0-19 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.42665$ Modular form 1536.2.a.n.1.4
2-1536-1.1-c1-0-2 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.619714$ Modular form 1536.2.a.d.1.1
2-1536-1.1-c1-0-20 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.44835$ Modular form 1536.2.a.n.1.3
2-1536-1.1-c1-0-21 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.56426$ Modular form 1536.2.a.e.1.1
2-1536-1.1-c1-0-22 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.56463$ Modular form 1536.2.a.c.1.1
2-1536-1.1-c1-0-23 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.62207$ Modular form 1536.2.a.a.1.2
2-1536-1.1-c1-0-24 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.69252$ Modular form 1536.2.a.c.1.2
2-1536-1.1-c1-0-25 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.72888$ Modular form 1536.2.a.g.1.1
2-1536-1.1-c1-0-26 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.74841$ Modular form 1536.2.a.h.1.1
2-1536-1.1-c1-0-27 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.85447$ Modular form 1536.2.a.g.1.2
2-1536-1.1-c1-0-28 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.93204$ Modular form 1536.2.a.h.1.2
2-1536-1.1-c1-0-29 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.95730$ Modular form 1536.2.a.e.1.2
2-1536-1.1-c1-0-3 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.800591$ Modular form 1536.2.a.n.1.2
2-1536-1.1-c1-0-30 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.98563$ Modular form 1536.2.a.i.1.2
2-1536-1.1-c1-0-31 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.10328$ Modular form 1536.2.a.i.1.1
2-1536-1.1-c1-0-4 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.802431$ Modular form 1536.2.a.m.1.3
2-1536-1.1-c1-0-5 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.866555$ Modular form 1536.2.a.f.1.1
2-1536-1.1-c1-0-6 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.901332$ Modular form 1536.2.a.n.1.1
2-1536-1.1-c1-0-7 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.920746$ Modular form 1536.2.a.b.1.2
2-1536-1.1-c1-0-8 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.960118$ Modular form 1536.2.a.m.1.2
2-1536-1.1-c1-0-9 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.972818$ Modular form 1536.2.a.j.1.1
2-1536-12.11-c1-0-0 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 12.11 $1.0$ $1$ ✓ ✓ $-0.456$ $0$ $0.115241$ Modular form 1536.2.c.m.1535.10
2-1536-12.11-c1-0-1 $3.50$ $12.2$ $2$ $2^{9} \cdot 3$ 12.11 $1.0$ $1$ ✓ ✓ $-0.250$ $0$ $0.149370$ Modular form 1536.2.c.l.1535.1
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