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Lowest zero Conductor Analytic conductor Central character Analytic rank
Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
Arithmetic
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Results (11 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
1-312-312.107-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.107 $0$ 0 ✓ ✓ $0.0426$ $0$ $1.47462$ Character $\chi_{312}(107, \cdot)$
1-312-312.125-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.125 $0$ 0 ✓ ✓ $-0.0467$ $0$ $1.00444$ Character $\chi_{312}(125, \cdot)$
1-312-312.149-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.149 $0$ 0 ✓ ✓ $-0.339$ $0$ $0.532987$ Character $\chi_{312}(149, \cdot)$
1-312-312.155-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.155 $0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.11380$ Character $\chi_{312}(155, \cdot)$
1-312-312.179-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.179 $0$ 0 ✓ ✓ $0.247$ $0$ $1.43713$ Character $\chi_{312}(179, \cdot)$
1-312-312.197-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.197 $0$ 0 ✓ ✓ $-0.245$ $0$ $0.771185$ Character $\chi_{312}(197, \cdot)$
1-312-312.245-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.245 $0$ 0 ✓ ✓ $0.339$ $0$ $1.91946$ Character $\chi_{312}(245, \cdot)$
1-312-312.251-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.251 $0$ 0 ✓ ✓ $-0.247$ $0$ $0.448529$ Character $\chi_{312}(251, \cdot)$
1-312-312.293-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.293 $0$ 0 ✓ ✓ $0.245$ $0$ $1.84857$ Character $\chi_{312}(293, \cdot)$
1-312-312.35-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.35 $0$ 0 ✓ ✓ $-0.0426$ $0$ $1.29278$ Character $\chi_{312}(35, \cdot)$
1-312-312.5-r0-0-0 $1.44$ $1.44$ $1$ $2^{3} \cdot 3 \cdot 13$ 312.5 $0$ 0 ✓ ✓ $0.0467$ $0$ $1.32149$ Character $\chi_{312}(5, \cdot)$
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