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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 (44 matches)

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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
1-1248-1248.1043-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1043 $0$ 0 ✓ ✓ $-0.446$ $0$ $0.0887193$ Character $\chi_{1248}(1043, \cdot)$
1-1248-1248.1061-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1061 $0$ 0 ✓ ✓ $-0.140$ $0$ $0.930370$ Character $\chi_{1248}(1061, \cdot)$
1-1248-1248.107-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.107 $0$ 0 ✓ ✓ $-0.384$ $0$ $0.0346208$ Character $\chi_{1248}(107, \cdot)$
1-1248-1248.1085-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1085 $0$ 0 ✓ ✓ $0.337$ $0$ $1.20165$ Character $\chi_{1248}(1085, \cdot)$
1-1248-1248.1091-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1091 $0$ 0 ✓ ✓ $0.0937$ $0$ $0.838603$ Character $\chi_{1248}(1091, \cdot)$
1-1248-1248.1115-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1115 $0$ 0 ✓ ✓ $0.0708$ $0$ $1.04977$ Character $\chi_{1248}(1115, \cdot)$
1-1248-1248.1133-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1133 $0$ 0 ✓ ✓ $-0.493$ $0$ $1.65483$ Character $\chi_{1248}(1133, \cdot)$
1-1248-1248.1181-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1181 $0$ 0 ✓ ✓ $0.349$ $0$ $1.62033$ Character $\chi_{1248}(1181, \cdot)$
1-1248-1248.1187-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1187 $0$ 0 ✓ ✓ $0.179$ $0$ $1.15933$ Character $\chi_{1248}(1187, \cdot)$
1-1248-1248.1229-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.1229 $0$ 0 ✓ ✓ $-0.318$ $0$ $0.486976$ Character $\chi_{1248}(1229, \cdot)$
1-1248-1248.125-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.125 $0$ 0 ✓ ✓ $0.296$ $0$ $1.36474$ Character $\chi_{1248}(125, \cdot)$
1-1248-1248.149-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.149 $0$ 0 ✓ ✓ $-0.349$ $0$ $0.497555$ Character $\chi_{1248}(149, \cdot)$
1-1248-1248.155-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.155 $0$ 0 ✓ ✓ $0.156$ $0$ $1.22810$ Character $\chi_{1248}(155, \cdot)$
1-1248-1248.179-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.179 $0$ 0 ✓ ✓ $-0.241$ $0$ $0.485699$ Character $\chi_{1248}(179, \cdot)$
1-1248-1248.197-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.197 $0$ 0 ✓ ✓ $0.318$ $0$ $1.29371$ Character $\chi_{1248}(197, \cdot)$
1-1248-1248.245-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.245 $0$ 0 ✓ ✓ $-0.337$ $0$ $0.229880$ Character $\chi_{1248}(245, \cdot)$
1-1248-1248.251-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.251 $0$ 0 ✓ ✓ $0.241$ $0$ $1.23710$ Character $\chi_{1248}(251, \cdot)$
1-1248-1248.293-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.293 $0$ 0 ✓ ✓ $0.493$ $0$ $0.0318606$ Character $\chi_{1248}(293, \cdot)$
1-1248-1248.317-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.317 $0$ 0 ✓ ✓ $0.390$ $0$ $1.34182$ Character $\chi_{1248}(317, \cdot)$
1-1248-1248.347-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.347 $0$ 0 ✓ ✓ $0.446$ $0$ $1.57096$ Character $\chi_{1248}(347, \cdot)$
1-1248-1248.35-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.35 $0$ 0 ✓ ✓ $0.384$ $0$ $1.35078$ Character $\chi_{1248}(35, \cdot)$
1-1248-1248.419-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.419 $0$ 0 ✓ ✓ $-0.196$ $0$ $0.767688$ Character $\chi_{1248}(419, \cdot)$
1-1248-1248.437-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.437 $0$ 0 ✓ ✓ $-0.390$ $0$ $0.0480704$ Character $\chi_{1248}(437, \cdot)$
1-1248-1248.461-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.461 $0$ 0 ✓ ✓ $0.0876$ $0$ $0.997270$ Character $\chi_{1248}(461, \cdot)$
1-1248-1248.467-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.467 $0$ 0 ✓ ✓ $-0.156$ $0$ $1.01445$ Character $\chi_{1248}(467, \cdot)$
1-1248-1248.491-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.491 $0$ 0 ✓ ✓ $-0.179$ $0$ $0.797416$ Character $\chi_{1248}(491, \cdot)$
1-1248-1248.5-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.5 $0$ 0 ✓ ✓ $-0.0469$ $0$ $0.443639$ Character $\chi_{1248}(5, \cdot)$
1-1248-1248.509-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.509 $0$ 0 ✓ ✓ $-0.243$ $0$ $0.622421$ Character $\chi_{1248}(509, \cdot)$
1-1248-1248.557-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.557 $0$ 0 ✓ ✓ $0.0998$ $0$ $1.09168$ Character $\chi_{1248}(557, \cdot)$
1-1248-1248.563-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.563 $0$ 0 ✓ ✓ $-0.0708$ $0$ $0.882829$ Character $\chi_{1248}(563, \cdot)$
1-1248-1248.605-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.605 $0$ 0 ✓ ✓ $-0.0688$ $0$ $0.905751$ Character $\chi_{1248}(605, \cdot)$
1-1248-1248.629-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.629 $0$ 0 ✓ ✓ $-0.296$ $0$ $0.497810$ Character $\chi_{1248}(629, \cdot)$
1-1248-1248.659-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.659 $0$ 0 ✓ ✓ $0.134$ $0$ $0.889071$ Character $\chi_{1248}(659, \cdot)$
1-1248-1248.731-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.731 $0$ 0 ✓ ✓ $-0.134$ $0$ $0.603334$ Character $\chi_{1248}(731, \cdot)$
1-1248-1248.749-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.749 $0$ 0 ✓ ✓ $0.0469$ $0$ $0.692946$ Character $\chi_{1248}(749, \cdot)$
1-1248-1248.773-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.773 $0$ 0 ✓ ✓ $-0.0998$ $0$ $0.693085$ Character $\chi_{1248}(773, \cdot)$
1-1248-1248.779-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.779 $0$ 0 ✓ ✓ $-0.0937$ $0$ $0.620914$ Character $\chi_{1248}(779, \cdot)$
1-1248-1248.803-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.803 $0$ 0 ✓ ✓ $0.00837$ $0$ $0.581029$ Character $\chi_{1248}(803, \cdot)$
1-1248-1248.821-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.821 $0$ 0 ✓ ✓ $0.0688$ $0$ $1.21343$ Character $\chi_{1248}(821, \cdot)$
1-1248-1248.869-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.869 $0$ 0 ✓ ✓ $-0.0876$ $0$ $0.925326$ Character $\chi_{1248}(869, \cdot)$
1-1248-1248.875-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.875 $0$ 0 ✓ ✓ $-0.00837$ $0$ $0.692302$ Character $\chi_{1248}(875, \cdot)$
1-1248-1248.917-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.917 $0$ 0 ✓ ✓ $0.243$ $0$ $1.11199$ Character $\chi_{1248}(917, \cdot)$
1-1248-1248.941-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.941 $0$ 0 ✓ ✓ $0.140$ $0$ $1.33091$ Character $\chi_{1248}(941, \cdot)$
1-1248-1248.971-r0-0-0 $5.79$ $5.79$ $1$ $2^{5} \cdot 3 \cdot 13$ 1248.971 $0$ 0 ✓ ✓ $0.196$ $0$ $1.40217$ Character $\chi_{1248}(971, \cdot)$
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