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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
2-1476-123.32-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 123.32 $0.0$ 0 ✓ ✓ $-0.169$ $0$ $0.723367$ Modular form 1476.1.l.a.1385.1
2-1476-123.32-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 123.32 $0.0$ 0 ✓ ✓ $0.0266$ $0$ $1.57003$ Modular form 1476.1.l.a.1385.2
2-1476-123.50-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 123.50 $0.0$ 0 ✓ ✓ $-0.0266$ $0$ $1.39103$ Modular form 1476.1.l.a.665.2
2-1476-123.50-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 123.50 $0.0$ 0 ✓ ✓ $0.169$ $0$ $1.44206$ Modular form 1476.1.l.a.665.1
2-1476-1476.1147-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $0.472$ $0$ $0.534543$ Modular form 1476.1.o.d.1147.1
2-1476-1476.1147-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $0.472$ $0$ $0.767711$ Modular form 1476.1.o.d.1147.4
2-1476-1476.1147-c0-0-2 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $-0.277$ $0$ $0.797797$ Modular form 1476.1.o.c.1147.2
2-1476-1476.1147-c0-0-3 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $0.222$ $0$ $1.12298$ Modular form 1476.1.o.a.1147.1
2-1476-1476.1147-c0-0-4 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $1.69647$ Modular form 1476.1.o.d.1147.2
2-1476-1476.1147-c0-0-5 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $0.222$ $0$ $1.74905$ Artin representation 2.1476.6t5.b.b Modular form 1476.1.o.b.1147.1
2-1476-1476.1147-c0-0-6 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $1.89715$ Modular form 1476.1.o.d.1147.3
2-1476-1476.1147-c0-0-7 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.1147 $0.0$ 0 ✓ ✓ $-0.277$ $0$ $2.27032$ Modular form 1476.1.o.c.1147.1
2-1476-1476.655-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $0.277$ $0$ $0.0996956$ Modular form 1476.1.o.c.655.2
2-1476-1476.655-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $0.859354$ Modular form 1476.1.o.d.655.1
2-1476-1476.655-c0-0-2 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $-0.222$ $0$ $1.01001$ Modular form 1476.1.o.a.655.1
2-1476-1476.655-c0-0-3 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $-0.222$ $0$ $1.26291$ Artin representation 2.1476.6t5.b.a Modular form 1476.1.o.b.655.1
2-1476-1476.655-c0-0-4 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $1.57162$ Modular form 1476.1.o.d.655.4
2-1476-1476.655-c0-0-5 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $0.277$ $0$ $1.96298$ Modular form 1476.1.o.c.655.1
2-1476-1476.655-c0-0-6 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $-0.472$ $0$ $2.42408$ Modular form 1476.1.o.d.655.2
2-1476-1476.655-c0-0-7 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 1476.655 $0.0$ 0 ✓ ✓ $-0.472$ $0$ $2.73751$ Modular form 1476.1.o.d.655.3
2-1476-164.103-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.103 $0.0$ 0 ✓ ✓ $0.498$ $0$ $0.158675$ Modular form 1476.1.bo.a.595.1
2-1476-164.103-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.103 $0.0$ 0 ✓ ✓ $-0.00193$ $0$ $1.94428$ Modular form 1476.1.bo.b.595.1
2-1476-164.107-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.107 $0.0$ 0 ✓ ✓ $0.179$ $0$ $1.72187$ Modular form 1476.1.z.a.271.1
2-1476-164.115-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.115 $0.0$ 0 ✓ ✓ $-0.236$ $0$ $0.795518$ Modular form 1476.1.bo.b.1099.1
2-1476-164.115-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.115 $0.0$ 0 ✓ ✓ $0.263$ $0$ $1.93685$ Modular form 1476.1.bo.a.1099.1
2-1476-164.119-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.119 $0.0$ 0 ✓ ✓ $0.305$ $0$ $2.43710$ Modular form 1476.1.ba.a.775.1
2-1476-164.127-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.127 $0.0$ 0 ✓ ✓ $0.0106$ $0$ $1.22714$ Modular form 1476.1.z.a.127.1
2-1476-164.131-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.131 $0.0$ 0 ✓ ✓ $-0.0430$ $0$ $1.46182$ Modular form 1476.1.bo.a.1279.1
2-1476-164.131-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.131 $0.0$ 0 ✓ ✓ $0.456$ $0$ $2.10920$ Modular form 1476.1.bo.b.1279.1
2-1476-164.139-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.139 $0.0$ 0 ✓ ✓ $-0.284$ $0$ $0.942526$ Modular form 1476.1.ba.a.631.1
2-1476-164.143-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.143 $0.0$ 0 ✓ ✓ $-0.308$ $0$ $0.946206$ Modular form 1476.1.bo.a.307.1
2-1476-164.143-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.143 $0.0$ 0 ✓ ✓ $0.191$ $0$ $1.59170$ Modular form 1476.1.bo.b.307.1
2-1476-164.155-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.155 $0.0$ 0 ✓ ✓ $-0.196$ $0$ $1.15677$ Modular form 1476.1.j.b.811.1
2-1476-164.155-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.155 $0.0$ 0 ✓ ✓ $0.303$ $0$ $1.50623$ Modular form 1476.1.j.a.811.1
2-1476-164.159-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.159 $0.0$ 0 ✓ ✓ $-0.456$ $0$ $0.526300$ Modular form 1476.1.bo.b.487.1
2-1476-164.159-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.159 $0.0$ 0 ✓ ✓ $0.0430$ $0$ $1.14512$ Modular form 1476.1.bo.a.487.1
2-1476-164.163-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.163 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.45224$ Artin representation 2.1476.4t3.b Artin representation 2.1476.4t3.b.a Modular form 1476.1.h.a Modular form 1476.1.h.a.163.1
2-1476-164.163-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.163 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.57076$ Artin representation 2.1476.8t6.a.b Modular form 1476.1.h.b.163.1
2-1476-164.163-c0-0-2 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.163 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.80455$ Artin representation 2.1476.8t6.a.a Modular form 1476.1.h.b.163.2
2-1476-164.23-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.23 $0.0$ 0 ✓ ✓ $-0.179$ $0$ $0.398200$ Modular form 1476.1.z.a.1171.1
2-1476-164.31-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.31 $0.0$ 0 ✓ ✓ $-0.0106$ $0$ $1.67851$ Modular form 1476.1.z.a.523.1
2-1476-164.39-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.39 $0.0$ 0 ✓ ✓ $-0.191$ $0$ $1.15737$ Modular form 1476.1.bo.b.1351.1
2-1476-164.39-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.39 $0.0$ 0 ✓ ✓ $0.308$ $0$ $2.41247$ Modular form 1476.1.bo.a.1351.1
2-1476-164.43-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.43 $0.0$ 0 ✓ ✓ $0.00193$ $0$ $1.74351$ Modular form 1476.1.bo.b.1027.1
2-1476-164.43-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.43 $0.0$ 0 ✓ ✓ $-0.498$ $0$ $2.15647$ Modular form 1476.1.bo.a.1027.1
2-1476-164.51-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.51 $0.0$ 0 ✓ ✓ $-0.305$ $0$ $1.26560$ Modular form 1476.1.ba.a.379.1
2-1476-164.59-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.59 $0.0$ 0 ✓ ✓ $0.284$ $0$ $1.50844$ Modular form 1476.1.ba.a.1207.1
2-1476-164.87-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.87 $0.0$ 0 ✓ ✓ $0.236$ $0$ $1.18695$ Modular form 1476.1.bo.b.415.1
2-1476-164.87-c0-0-1 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.87 $0.0$ 0 ✓ ✓ $-0.263$ $0$ $1.33598$ Modular form 1476.1.bo.a.415.1
2-1476-164.91-c0-0-0 $0.858$ $0.736$ $2$ $2^{2} \cdot 3^{2} \cdot 41$ 164.91 $0.0$ 0 ✓ ✓ $-0.303$ $0$ $0.902508$ Modular form 1476.1.j.a.91.1
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